Please help me with this problem I am not able to help my son to understand we keep getting it wrong please help.The function y=−16x^2+v0x models Lindy's height in feet above a trampoline x seconds after she jumps straight up. In the equation of the function, v0 is her initial velocity in feet per second. Lindy lands back on the trampoline 1 second after she jumps. What is the value of v0?Enter your answer in the box.v0= ft/s
Answers
EXPLANATION:
We are given the function which models Lindy's height x seconds after she jumps straight up a trampoline. The function is expressed as;
[tex]y=-16x^2+v_0[/tex]Where x is the time in seconds after she jumps, and v_0 is the initial velocity. The result of the function is her height after jumping with the given time x.
If she lands back on the trampoline one second after she jumps, then she is at a height of zero.
The function can now be re-written as follows;
[tex]\begin{gathered} \text{With;} \\ x=1\text{ (time)} \\ y=0\text{ (height)} \end{gathered}[/tex][tex]0=-16(1)^2+v_0[/tex]We can now simplify;
[tex]-16(1)^2+v_0=0[/tex]Add
[tex]-16(1)^2[/tex]to both sides;
[tex]\begin{gathered} v_0=16(1)^2 \\ v_0=16 \end{gathered}[/tex]Therefore;
ANSWER:
The value of v_0( her initial velocity) is;
[tex]v_0=16[/tex]Related Questions
Trigonometry I’m a little stuck in this problem and I want to know we’re If I messing up and need help to proceed!
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Problem 2.
Using the unit circle as our guide,
Point A would be at 0 degrees
There are 12 points on the circle
Take 360 degrees and divide by 12
360/12 = 30
Each pie shaped wedge is 30 degrees
C is 2 pie pieces so it is 2*30 or 60 degrees from point A
H is 8 pie shapes wedges so it is 8*30 or 240 degrees from point A
Looking at the diagram we can see that A and G are the same distance from the ground
B and F are the same distance from the ground
C and E are the same distance from the ground
H and L are the same distance from the ground
I and K are the same distance from the ground
Calculate the value of the expression:1+1x100+2
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In order to calculate the value of this expression, first we need to calculate the multiplication between 1 and 100. Then, w
-a+9bA=4B= - 4 I forgot how this thing works? Please someone help!
Answers
-a+9b
a=4
b=-4
Replace a by 4 and b by -4 in the expression, then solve it
-(4)+9(-4)
-4 -36
-40
The sales tax on a table is $15.96find the purchase price The total price
Answers
Answer:
[tex]\begin{gathered} a)\text{ Purchase Price = \$190} \\ b)\text{ Total Price = \$205.96} \end{gathered}[/tex]Explanation:
Here, we want to get the purchase price and the total price
a) The purchase price before tax
In the question, we have it that the tax is 8.4% of the purchase price
Let the purchase price be $P
8.4% of this is $15.96
Mathematically:
[tex]\begin{gathered} \frac{8.4}{100}\times\text{ P = 15.96} \\ \\ 8.4P\text{ = 100}\times15.96 \\ P\text{ = }\frac{100\times15.96}{8.4} \\ P\text{ = \$190} \end{gathered}[/tex]b) The total price is the sum of the tax and the purchase price
Mathematically, we have this as:
[tex]\text{ 190 + 15.96 = \$205.96}[/tex]Question 4Task 2: Nee how (hello)Business is projected to be booming after the latest release of The Fast and the Furious3.14159265359... Carver's Auto Custom must determine how many cans of paint and rims tostock at their Shanghai location.The Carver Family did choose Warehouse Space A. The warehouse includes 8000 sq. ft. ofshowroom and workshop space. One half of this warehouse space will be used to stock paintcans and rims. The warehouse has a height of 20 ft.Tell how many of cans you will stock. You must have exactly 4 cans ofpaints for every rim you stock.
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The area of the warehouse is
[tex]A=8000ft^2[/tex]Half of this area stock paint, cans and rims:
[tex]\begin{gathered} A_{\text{stock}}=4000ft^2 \\ \text{then, the volume of the room is} \\ V_{\text{stock}}=4000\times20 \\ V_{\text{stock}}=80000ft^3 \end{gathered}[/tex]thats because the heigth of the stock room is equal to 20 ft.
On the other hand, we know that there are 2 cans in a box which volume
[tex]\begin{gathered} V_{\text{box}}=15\times7\times6inches^3 \\ \text{then for one can, the volume is} \\ V_{\text{can}}=\frac{V_{box}}{2}=\frac{15\times7\times6}{2}=15\times7\times3inches^3 \\ V_{\text{can}}=315in^3 \end{gathered}[/tex]and a rim is inside a box with measures
[tex]\begin{gathered} V_{\text{rim box}}=36\times36\times15inches^3 \\ V_{\text{rim box}}=19440in^3 \end{gathered}[/tex]Then, we need to find the ratio V_total to V_stock in order to find the number of rims in the room.
Then, V_total is the sum of 4 times the volume of one can plus the volume of 1 rim, that is,
[tex]V_{\text{total}}=4\cdot V_{\text{can}}+V_{\text{rim}}[/tex]because we need 4 cans and 1 rim in our room. This total volume is given by
[tex]V_{\text{total}}=4\cdot315+19440inches^3[/tex]which gives
[tex]V_{\text{total}}=20700inches^3[/tex]The last step is convert the V_total from cubic inches to cubic feets. We can do that by means of
[tex]V_{\text{total}}=20700inches^3(\frac{1ft^3}{12^3inches^3})[/tex]because 1 feet is equal to 12 inches. It yields,
[tex]\begin{gathered} V_{\text{total}}=20700(\frac{1}{144}) \\ V_{\text{total}}=143.75ft^3 \end{gathered}[/tex]Finally, we can find the ratio mentioned above:
[tex]\text{ratio}=\frac{V_{stock}}{V_{total}}=\frac{80000}{143.75}=556.52[/tex]By rounding down to the nearest interger, the ratio is 556. This means that we can stock 556 rims in the warehouse.
How can we tell when every point on the graph is a solution to the problem?
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One way to verify that if a point exist on both lines is to substitute the x- and y-values of the ordered pair into the equation of each line. If the substitution results in a true statement, then you have the correct solution!
a) Write the three equations using three ordered pairs.EQ1:EQ2:EQ3:B) Write the linear system:C) Solve the system using substitution and then elimination. Show all work andsteps:
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A) To get the three equations, we will substitute each of the 3 points on the parabola into the quadratic formula
Quadratic function formula is given by:
[tex]y\text{ = }ax^2\text{ + bx + c }[/tex]using point (-1, 5) = (x, y)
[tex]\begin{gathered} 5=a(-1)^2\text{ + b(-1) + c} \\ 5\text{ = a(1) - b + c } \\ 5\text{ = a - b + c }\ldots.(1) \end{gathered}[/tex]using point (0, -4) = (x, y)
[tex]\begin{gathered} -4=a(0)^2\text{ + }b(0)\text{ + c} \\ -4\text{ = c } \end{gathered}[/tex]using point (4, 0)
[tex]\begin{gathered} 0=a(4)^2\text{ + b(4) + c} \\ 0\text{ = 16a + 4b + c} \\ \text{16a + 4b + c = 0 . . . (2)} \end{gathered}[/tex][tex]\begin{gathered} \text{The 3 equations using orderd pair:} \\ EQ1\colon\text{ }5=a(-1)^2\text{ + b(-1) + c} \\ EQ2\colon\text{ }-4=a(0)^2\text{ + b(0) + c} \\ EQ3\colon\text{ }0=a(4)^2\text{ + b(4) + c} \end{gathered}[/tex]B) The linear system:
[tex]\begin{gathered} 5\text{ = a - b + c . . . (1)} \\ -\text{4 = c . . . (2)} \\ \text{0 = 16a + 4b + c . . . (3)} \end{gathered}[/tex]C) substitute for c in equation 1 and 2:
[tex]\begin{gathered} 5\text{ = a - b + c }\ldots.(1) \\ 5\text{ = a - b -4} \\ 5\text{ + 4 = a - b } \\ 9\text{= a - b }\ldots(4) \\ \\ \text{0 = 16a + 4b + c . . . (3)} \\ \text{0 = 16a + 4b }-4 \\ 0+\text{4 = 16a + 4b } \\ 4\text{ = 16a + 4b . . . (5)} \end{gathered}[/tex]Using elimnation for equation (4) and (5):
To eliminate a variable, it must have the same coefficient in both equations.
Let's elimnate b. We will multiply equation (4) by 4 so the coefficient will be the same:
4(9) = 4(a) - b(4)
36 = 4a - 4b ...(4)
4 = 16a + 4b ...(5)
Add equation 4 and 5 together:
36 +4 = 4a + 16a - 4b + 4b
40 = 20a
divide both sides by 20:
40/20 = 20a/20
a = 2
substitute for a in equation 5:
4 = 16(2) + 4b
4 = 32 + 4b
4 - 32 = 4b
-28 = 4b
divide both sides by 4:
-28/4 = 4b/4
b = -7
a = 2, b = -7, c = -4
The equation of the parabola becomes:
[tex]y=2x^2\text{ - 7x - 4}[/tex]What is the solution to the linear system 4x + 2y = 8 and 2x + 2y = 2?
Answers
Answer:
• x=3
,• y=-2
Explanation:
Given the linear system of the equations:
[tex]\begin{gathered} 4x+2y=8\cdots\cdots\cdots(1) \\ 2x+2y=2\cdots\cdots\cdots(2) \end{gathered}[/tex]First, subtract equation(2) from equation(1).
[tex]\begin{gathered} (4x-2x)+(2y-2y)=8-2 \\ 2x=6 \\ \text{Divide both sides by 2} \\ \frac{2x}{2}=\frac{6}{2} \\ x=3 \end{gathered}[/tex]Next, substitute x=3 into equation (1) to solve for y.
[tex]\begin{gathered} 4x+2y=8\cdots\cdots\cdots(1) \\ 4(3)+2y=8 \\ 12+2y=8 \\ \text{Subtract 12 from both sides.} \\ 12-12+2y=8-12 \\ 2y=-4 \\ \text{Divide both sides by 2} \\ \frac{2y}{2}=\frac{-4}{2} \\ y=-2 \end{gathered}[/tex]The solution to the linear system is x=3 and y=-2.
Re-arrange this vertex equation y = 2 (x + 1)2 - 6 in standard form?
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When we have a quadratic equation, we can have it in vertex and standard form.
The vertex form comes in the form:
[tex]y=a\mleft(x-h\mright)^2+k[/tex]The standard form comes in the form:
[tex]y=ax^2+bx+c[/tex]Converting to/from either simply requires some manipulations via expansion of the bracket as will be seen.
[tex]\begin{gathered} y=2(x+1)^2-6 \\ y=2(x^2+2x+1)-6 \\ y=2x^2+4x+2-6 \\ y=2x^2+4x-4 \end{gathered}[/tex]Hence, we have our standard form.
simplify 2(w+3)-(w-1)
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we have
2(w+3)-(w-1)
apply distributive property first term and remove the parenthesis
2w+6-w+1
combine like terms
w+7B. Make a line graph for given the data on the table below. No plagiarism
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NOTE ; Kindly ensure the x-axis have equal width
A and _B are supplementary angles. If m_A = (4x - 16) and m B = (8x + 4), then find the measure of ZA.
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A=48
Explanation
Two Angles are Supplementary when they add up to 180 degrees
Step 1
if A and B are supplementary angles, then
[tex]A+B=180[/tex]Let
A=4x-16
B=8x+4
Step 2
replace,
[tex]\begin{gathered} A+B=180 \\ 4x-16+8x+4=180 \\ 12x-12=180 \end{gathered}[/tex]Step 3
solve for x
[tex]\begin{gathered} 12x-12=180 \\ 12x=180+12 \\ 12x=192 \\ x=\frac{192}{12} \\ x=16 \\ \end{gathered}[/tex]Step 4
finally, replace the value of x= 16 to find A
[tex]\begin{gathered} A=4x-16 \\ A=4(16)-16 \\ A=64-16 \\ A=48 \end{gathered}[/tex]can you break it down and help me out please?
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Given
[tex]x^2+x-2\ge0[/tex]To find the solution.
Now,
It is given that,
[tex]x^2+x-2\ge0[/tex]Using factorization method,
[tex]\begin{gathered} x^2+x-2=0 \\ x^2-x+2x-2=0 \\ x(x-1)+2(x-1)=0 \\ (x+2)(x-1)=0 \end{gathered}[/tex]That implies,
[tex]\begin{gathered} x+2\ge0,x-1\ge0 \\ x\ge-2,x\ge1 \end{gathered}[/tex]Hence, the solution set is,
[tex]undefined[/tex]graph the system of quadratic Inequalities. (please show how you find the points to graph)
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Points you need to find to graph quadratic inequalities:
Vertex of each parabola:
1-Write each ineqaulity as an equation:
[tex]\begin{gathered} y=x^2-4x+8 \\ y=-x^2+4x+2 \end{gathered}[/tex]Vertex:
[tex]\begin{gathered} f(x)=ax^2+bx+c \\ x-coordinate\text{ of the vertex:} \\ x=-\frac{b}{2a} \\ \\ y-coordinate\text{ of the vertex:} \\ f(-\frac{b}{2a}) \end{gathered}[/tex]First equation: the leding coefficient is 1 then the parabola opens up.
Vertex of first equation:
[tex]\begin{gathered} x=-\frac{-4}{2(1)}=\frac{4}{2}=2 \\ \\ y=2^2-4(2)+8 \\ y=4-8+8 \\ y=4 \\ \\ \text{Vertex: (2,4)} \end{gathered}[/tex]Second equation: the leading coefficient is -1 then the parabola opens down.
Vertex of the second equation:
[tex]\begin{gathered} x=-\frac{4}{2(-1)}=\frac{-4}{-2}=2 \\ \\ \\ y=-(2)^2+4(2)+2 \\ y=-4+8+2 \\ y=6 \\ \\ \text{Vertex: (2,6)} \end{gathered}[/tex]Points of interception:
Equal the equations and solve x:
[tex]\begin{gathered} x^2-4x+8=-x^2+4x+2 \\ \\ x^2+x^2-4x-4x+8-2=0 \\ 2x^2-8x+6=0 \\ \\ \text{Quadratic formula:} \\ ax^2+bx+c=0 \\ x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \\ \\ x=\frac{-(-8)\pm\sqrt[]{(-8)^2-4(2)(6)}}{2(2)} \\ \\ x=\frac{8\pm\sqrt[]{64-48}}{4} \\ \\ x=\frac{8\pm\sqrt[]{16}}{4} \\ \\ x=\frac{8\pm4}{4} \\ \\ x_1=\frac{8+4}{4}=\frac{12}{4}=3 \\ \\ x_2=\frac{8-4}{4}=\frac{4}{4}=1 \end{gathered}[/tex]The parabolas intersect in x=1 and x=3 (use one of the equations to find the y-value of the intersection):
[tex]\begin{gathered} y=1^2-4(1)+8 \\ y=1-4+8 \\ y=5 \\ \\ \text{point: (1,5)} \\ \\ y=3^2-4(3)+8 \\ y=9-12+8 \\ y=5 \\ \\ \text{point: (3,5)} \end{gathered}[/tex]Then, you have the next points:
Vertex: (2,4) opens up; (2,6) opens down
Intersection points: (1,5) and (3,5)
First parabola has the inequality sing > : the border line is a dotted line and the shadow area is under the parabola.
Second parabola has the inequality sing ≤ : the border line is a full line and the shadow area is over the parabola
Graph:
Find the new position of the given point (1,3) after a translation of 3 units down and 3 units to the left.
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Answer:
(-2, 0)
Explanation:
Given the point: (1,3)
• To translate the point ,3 units down,, ,subtract 3 from the y-value,.
,• To translate the point ,3 units left,, ,subtract 3 from the x-value,.
Therefore, the new position of the point is:
[tex](1-3,3-3)=(-2,0)[/tex]The new position is (-2, 0).
PLEASE HELP NOW!!!!!!!!!!!!!!!
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The rate of change of water capacity of the reservoir per year is -1725 acre - feet per year .
In the question ,
a line graph is given which represents the relation between time(t) and the reservoir capacity in acre - feet .
the two points on the line graph means
in the year 1928 the reservoir capacity was 300000 acre - feet .
and in the year 1986 the reservoir capacity was 200000 acre - feet .
the rate of change of water capacity of the reservoir per year can be calculated using the formula ,
rate of change = ( change in water capacity) / ( change in time)
= ( 200000 - 300000)/(1986-1928)
= -100000/58
= -1724.13
≈ -1725
here negative sign means the capacity of the reservoir is decreasing per year .
Therefore , The rate of change of water capacity of the reservoir per year is -1725 acre - feet per year .
Learn more about Rate Of Change here
https://brainly.com/question/27984400
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The runaway success of the switch prompted the company to raise it's sales and earnings by forecast for the second time since November. It now expects a 24% jump in profit from what it projects just three months ago, with 560 billion yen (5.6 billion) estimated for the year ending in March. What is the total now?
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If the new forecast is 24% more than the 5.6 billion estimated, we can calculate this as:
[tex]\begin{gathered} Y_{\text{new}}=Y_{\text{old}}+0.24\cdot Y_{\text{old}}=(1+0.24)Y_{\text{old}}=1.24\cdot Y_{\text{old}} \\ Y_{\text{new}}=1.24\cdot5.6=6.944\approx6.9 \end{gathered}[/tex]Answer: The total now is approximately 6.9 billion.
8. Reece made a deposit into an account that earns 8% simple interest. After 8 years, Reece had earned $400. How much was Reece's initial deposit?
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Which of the following gives the correct range for the graph?
A coordinate plane with a segment going from the point negative 4 comma negative 2 to 0 comma negative 1 and another segment going from the point 0 comma negative 1 to 3 comma 5.
−2 ≤ x ≤ 5
−2 ≤ y ≤ 5
−4 ≤ x ≤ 3
−4 ≤ y ≤ 3
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Answer:
The correct range is -2 < y < 5.
AcellusConvert this decimal into its fractionalform, simplified completely.0.450
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we have the following:
[tex]0.450=\frac{45}{100}=\frac{9}{20}[/tex]therefore, the answer is 9/20
Cecil wrote the fraction 6/4. Susie wants to write anequivalent fraction. Whichof the following could be herfraction? A. 2/3 B. 6/9 C. 8/12 D. All of the above.
Answers
ANSWER
8/12. Option C
EXPLANATION
In a simple term: Equivalent fraction can be determined by simply multiplying the numerator and the denominator by the SAME NUMBER.
That is,
if you have 2/3 the equivalent fraction will be 4/6 (when multiplied by 2) or 6/9 (when multiplied by 3) or 8/12 (when multiplied by 4) etc.
So, from the question above:
The equivalent fraction of 4/6 (when multiplied by 2) is 8/12
Write each expression without the absolute value symbol.(x+7)
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We must write the following expression without the absolute value symbol:
[tex]|x+7\left|\right?.[/tex]We have two cases:
1) If (x + 7) ≥ 0 or x ≥ -7, the expression is (x + 7).
2) If (x + 7) < 0 or x < -7, the expression is -(x + 7).
Combining these results, we have:
[tex]|x+7\left|=\right?\begin{cases}x+7\text{ if }x\ge-7 \\ -x-7\text{ if }x<-7\end{cases}[/tex]AnswerThe equivalent expression to |x + 7| without an absolute value symbol is:
[tex]|x+7\left|=\right?\begin{cases}x+7\text{ if }x\ge-7 \\ -x-7\text{ if }x<-7\end{cases}[/tex]Your brother and sister took turns driving on a 635 mile trip that took 11 hours to complete. your brother drove at a constant speed of 60 miles per hour and your sister drove at a constant speed of 55 miles per hour. let x be the number of miles your brother drove and y be the number of miles your sister drove. find the number of miles each of your siblings drove.
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Your brother and sister took turns driving on a 635 mile trip
Total distance travel on trip = 635
Let x be the disatnce travel by your borther and y be the miles travel by the sister
SO, x + y = 635
It took 11 hours to complete the trip
Speed of brother = 60 miles per hour
Speed of sister = 55 miles per hour
The general expression for the speed is :
[tex]\begin{gathered} \text{ Sp}eed=\frac{Dis\tan ce}{Time} \\ \text{Then, }Time=\frac{Dis\tan ce}{Spped} \end{gathered}[/tex]Then using these expression
Time taken by the brother is :
[tex]\begin{gathered} \text{ Time taken by brother =}\frac{x}{60} \\ \text{Time taken by the sister=}\frac{y}{55} \end{gathered}[/tex]As total time is 11 hours so:
[tex]\frac{x}{60}+\frac{y}{55}=11[/tex]So we get the two set of equation :
[tex]\begin{gathered} \frac{x}{60}+\frac{y}{55}=11 \\ x+y=635 \end{gathered}[/tex]Simplify the set of equation :
Simplify the first equation for x and then put it into another :
[tex]\begin{gathered} \frac{x}{60}+\frac{y}{55}=11 \\ \frac{x}{60}=11-\frac{y}{55} \\ x=660-\frac{12y}{11} \\ \text{Susbtitute the value of x in the second equation:} \\ x+y=635 \\ 660-\frac{12}{11}y+y=635 \\ \frac{-12}{11}y+y=635-660 \\ \frac{-12y+11y}{11}=-25 \\ \frac{-1}{11}y=-25 \\ y=25\times11 \\ y=275 \end{gathered}[/tex]Substitute y = 275 in the first equation :
x + y = 635
x + 275 = 635
x = 360
As x represent the distance travel by the bother and the rest by sister
Distance travel by brother is 360 miles and the distance travel by the sister is 275 miles
Answer : x = 360 miles, y = 275 miles
How many fourteenths are there in 5/7
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The Harrisburg Recreation Center recently changed its hours to open 1 hour later and close 3 hours later than it had previously. Residents of Harrisburg age 16 or older were given a survey, and 560 residents replied. The survey asked each resident his or her student status (high school, college, or nonstudent) and what he or she thought about the change in hours (approve, disapprove, or no opinion). The results are summarized in the table below. Student status Approve Disapprove | No opinion 30 High school College Nonstudent 4 10 353 6 85 Total 129 367 38. What fraction of these nonstudent residents replied that they disapproved of the change in hours? F. } HAWI- G. J. 353 367 K. 353 485
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Explanation
to get the fraction of Nonstudents that disaproved
[tex]\text{fraction}=\frac{total\text{ nonstudents that disaproved}}{\text{total nonstudents}}[/tex]then
let
total nonstudents that disaproved=353
total nostudents=85+353+47=485
now, replace
[tex]\text{fraction}=\frac{353}{485}\rightarrow k[/tex]so,the answer is k
1. Corinne has a cell phone plan that includes 200 minutes for phone calls and unlimited texting. An additional fee is charged for using more than 200 minutes for phone calls. The figure below is the graph of C = f(m), where C is the monthly cost after m minutes used. Part A What is the minimum monthly cost for Corinne's cell phone plan? Show or explain your work. Part B What is the value of f(150). Explain its meaning in terms of the cell phone plan. Part C For what mis f(m) = 55? Explain its meaning in terms of the cell phone plan. Part D What is the cost per minute after Corinne uses her monthly allowance of 200 minutes? Show or explain your work.
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Part A) Minimum cost = $30
Part B) Value of f(150) = $30
Part C) m = 275 minutes
Part D) Cost per minute after 200 minutes = $0.2
Explanations:From the graph shown:
Monthly rate for 200 minutes for phone calls = $30
An additional fee is charged for more than 200 minutes for phone calls
Part A) The minimum monthly cost of Corinne's cell phone plan.
Note that the minimum monthly cost of Corinne's cell phone plan will be when he does not use more than 200 minutes for phone calls.
Therefore, the minimum monthly cost, C = f(200) = $30
Part B)
The value of f(150)
f(150) means the cost of Corinne's cell phone plan when 150 minutes is spent for phone calls, i.e. m = 150
Since there is a flat rate of $30 for 0 to 200 minutes, f(150) = $30
Part C)
For what m is f(m) = 55
This means that we should find the number of minutes spent when the cost of the plan is $55
From the graph, $55 is charged at 275 minutes
Therefore, when f(m) = 55, m = 275 minutes
Part D)
Cost per minutes after the monthly allowance of 200 minutes
After the monthly allowance of 200 minutes, we would notice that, for every 50 minutes, there is a $10 charge. That means that for every 1 minute, there will be a charge of 10/50 = $0.2
Cost per minute = $0.2
how do you solve -2×+5=9
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Which graph shows point pas (-5,6)and point q as (3,-4)?
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Answer
Option A is correct.
From the explanation, we can easily see that the first graph shows point P as (-5, 6) and Point Q as (3, -4).
Explanation
The key to marking points on the graph is to know that the coordinates are named as (x, y)
And to mark a point (-5, 6), it means x = -5 and y = 6
So, we move 5 units to the left from the origin along the negative x-axis and 6 units upwards along the y-axis.
And for (3, -4), x = 3, y = -4
We move 3 units to the right from the origin along the positive x-axis and 4 units downwards along the y-axis.
Hope this Helps!!!
Yogi's yoga studio charges members $79 for Enrollment and $45 per month Write an equation to represent the relationship between x, the number of months and y, the total cost of membership
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Data:
Enrollment: $79
Charge per Month: $45/month
x: number of months
y: Total cost
You can follow the next general expression:
[tex]y=kx+b[/tex]Where k is the constant of change, in this case the charge per month, and b is the charge at time 0, in this case the charge per enrollment.
Then, You get the next expression that represents the relationship:[tex]y=45x+79[/tex]What are the values of w and x in the triangle below? Round the answers to the nearest tenth.thank you ! :)
Answers
Answer:
w = 14.4
x = 11.2
Explanation:
We would consider the smaller and larger right angle triangles.
For the smaller right triangle, taking 48 as the reference angle,
opposite side = 16
adjacent side = w
We would find w by applying the tangent trigonometric ratio which is expressed as
tanθ = opposite side/adjacent side
Thus,
tan48 = 16/w
By cross multiplying,
wtan48 = 16
w = 16/tan48
w = 14.4
For the larger right triangle, taking 32 as the reference angle,
opposite side = 16
adjacent side = w + x = 14.4 + x
We would find w by applying the tangent trigonometric ratio which is expressed as
tanθ = opposite side/adjacent side
Thus,
tan32 = 16/(14.4 + x)
By cross multiplying,
(14.4 + x)tan32 = 16
(14.4 + x) = 16/tan32
14.4 + x = 25.6
x = 25.6 - 14.4
x = 11.2