f(4) = -8 is another way of saying the point is (4 , -8)
f(-3) = 1 is another way of saying the point is (-3 , 1)
to get the equation of any straight line, we simply need two points off of it, so let's use those two provided
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{(-8)}}}{\underset{run} {\underset{x_2}{-3}-\underset{x_1}{4}}} \implies \cfrac{1 +8}{-7} \implies \cfrac{ 9 }{ -7 } \implies - \cfrac{9 }{ 7 }[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-8)}=\stackrel{m}{- \cfrac{9 }{ 7 }}(x-\stackrel{x_1}{4}) \implies y +8 = - \cfrac{9 }{ 7 } ( x -4) \\\\\\ y+8=- \cfrac{9 }{ 7 }x+\cfrac{36}{7}\implies y=- \cfrac{9 }{ 7 }x+\cfrac{36}{7}-8\implies {\Large \begin{array}{llll} y=- \cfrac{9 }{ 7 }x-\cfrac{20}{7} \end{array}}[/tex]
What is a number that is both a square number and a multiple of 9.
Answer:
3
Step-by-step explanation:
I hope it helps and have a wonderful rest of your day!!!! :)
BRAINIEST is appreciated it would really help me!!!!
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 10.8 seconds
Step-by-step explanation:
[tex]-16t^2 +170t+40=10\\\\16t^2 -170t-30=0\\ \\ t=\frac{-(-170) \pm \sqrt{(-170)^2 -4(16)(-30)}}{2(16)}\\\\t \approx 10.8 \text{ } (t > 0)[/tex]
Write a system of two linear equations in two variables that you can
solve by subtracting the equations and that results in a solution of (3, 1).
The system of two linear equations in two variables that we can solve by subtracting the equations and that results in a solution of (3, 1) is:-
x + y = 4
2x - 3y = 3
Let x + y be equation (1) and 2x - 3y = 3 be equation (2).
Multiplying (1) by 2, we get,
2x + 2y = 8 ...(3)
(3) - (2), we get,
(2x - 2x) + (2y - (-3y)) = 8 - 3
0 + 5y = 5
y = 5/5 = 1
y = 1
Putting y = 1 in (1), we get
x + 1 = 4
x = 4 - 1
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questions in screenshot (odd numbers only)
Answer:
1. 250x12= 3000. So she earned $3000 in that 12 weeks, if you include the 500 then it would be 3500 dollars if not then it would be 3000 dollars.
2. Divide 75 and 12 and you get 6.25 if you want to estimate. Then the answer would be, all of the fields will be harvested in just 6 days.
3. Divide 54 and 3 and you get 18. 18 weeks if they frame the sanem number each week.
4. If you divide 8,000 and 450 you get 17.7777777778. If you want to estimate then the it would be 18. So it would take about 18 days to fill up the 8,000 gallons of water.
5. This graph is y=20x
6. Don't really know, if the 0 is 360 then 10 and 300 are pretty easy because 10=30. so 0, 10, 20 is 360, 300,240 likes the graph and I would think you can solve this
find the length of one side of a solid cube given that its
volume is 8 cm cube
total surface area is 54 cm square.
Step-by-step explanation:
I assume you mean as second question "what is the volume of a cube with the surface area of 54 cm² ?".
first question :
volume is 8 cm³
the volume of a cube is side³.
8 cm³ = side³
side = cubic root(8) = 2 cm
add-on : the surface of a cube (6 sides) is 6 times the area of side² squares.
surface = 6 × 2² = 6 × 4 = 24 cm²
second question :
54 cm² = 6 × side²
9 = side²
side = sqrt(9) = 3 cm
and the volume would be
side³ = 3³ = 27 cm³
Roster method The set of n negative integers greater than -7
Remember that
The Roster Method is a way to show the elements of a set by listing the elements inside brackets.
In this problem we have
The set of n negative integers greater than -7
so
the negative integers greater than -7 are
-6,-5,-4,-3,-2 and -1
therefore
The elements are
{-6,-5,-4,-3,-2,-1}can someone please help me find the valu of X?
The midsegment determines a smaller triangle that is similar to the larger triangle. If two triangles are similar, then their side lengths are at the same ratio, so that:
[tex]\begin{gathered} \frac{5x}{45}=\frac{20}{20+16} \\ \frac{5x}{45}=\frac{20}{36} \end{gathered}[/tex]From this expression, you can determine the value of x:
-First. multiply both sides by 45:
[tex]\begin{gathered} 45(\frac{5x}{45})=45(\frac{20}{36}) \\ 5x=25 \end{gathered}[/tex]-Second, divide both sides by 5 to determine the value of x:
[tex]\begin{gathered} \frac{5x}{5}=\frac{25}{5} \\ x=5 \end{gathered}[/tex]The value of x is equal to 5
Find the slope of the line. Write your answer in simplest form.
-5-4-3-2-1
(1, -3)
(-5,-4)
The slope is
45
y
1 x
The slope of the line is 1/6 when the graph has a line with points (1,-3) and (-5,-4).
Given that,
In the picture we have a graph with lines with 2 points.
We have to find the slope of the graph of line.
We have points (1,-3) and (-5,-4)
Slope of the line is m
m is rise/run
Rise is y₂-y₁
Run is x₂-x₁
Slope is (-4+3)/(-5-1)
Slope is (-1)/(-6)
Slope is 1/6
Therefore, The slope of the line is 1/6 when the graph has a line with points (1,-3) and (-5,-4).
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Your bank account has -$21 in it and you deposit $6 per day. How much money is in your account after 4 days?
So the original amount of money in the bank account is given by a negative number: -$21. If you deposit $6 per day during four days then the total amount of money deposited by the fourth day is:
[tex]4\cdot\text{\$}6=\text{\$}24[/tex]The total amount of money in the account is given by adding the deposited money to the original amount:
[tex]-\text{\$}21+\text{\$}24=\text{\$}3[/tex]Then the answer is $3.
Someone answer this?
Answer:
lawsuits
Step-by-step explanation:
Select the correct answer from each drop-down menu.A seashell has the dimensions shown.5 in10 in.What figure best models the shell, and what is the approximate surface area of the shell?The shell is best modeled by aThe approximate surface area of the shell issquare inches.
Answer:
Cone
100.6in^2
Step-by-step explanation:
Plato answer.
The approximate surface area of the shell is 75π square inches.
How to find the surface area of some object?Find the area that its outer surfaces possess. Sum of all those surfaces' area is the surface area of the considered object. Right circular cone is the cone in which the line joining peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.
We are given that;
Diameter= 5in
Height=10in
Now,
Substituting these values in the formula for surface area of a cone, we get:
Surface area of a cone = π(5)(5 + 10)
Simplifying, we get:
Surface area of a cone = 75π in²
Therefore, the surface area will be 75π square inches.
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A jar of sweet pickles contains 650 grams of pickles. There are 12 jars in a case. How many kilograms of pickles are in a case?
look at picture! thank you!
Answer:
middle, last, first
Complete each equation below so that it shows equivalent fractions.
Answer:
[tex]\frac{3}{12}, \frac{8}{10},\frac{2}{12}[/tex]
Step-by-step explanation:
→ Find the multiplier in the first one
12 ÷ 4 = 3
→ Multiply onto top
[tex]\frac{3}{12}[/tex]
→ Find multiplier for second one
10 ÷ 5 = 2
→ Multiply
2 × 4 = 8
Find the equation of a circle with the center at ( 0, 0 ) and a radius of 1.
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given details
[tex]\begin{gathered} center:(0,0) \\ radius:1 \end{gathered}[/tex]STEP 2: Write the formula for equation of a circle
[tex]\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ Where\text{ }(h,k)\text{ is the center} \\ r\text{ is the radius} \end{gathered}[/tex]STEP 3: Find the equation of the circle
[tex]\begin{gathered} By\text{ substitution,} \\ (x-0)^2+(y-0)^2=1^2 \\ x^2+y^2=1^2 \\ x^2+y^2=1 \end{gathered}[/tex]Hence, the equation of the circle is given as:
[tex]x^2+y^2=1^[/tex]
Trey drew a map of the summer camp he is staying at this summer. He graphed the point D(-4.5, 4.5) for the dining
hall. The flag pole is located at D', a reflection of D across the y-axis. The campfire is located at D", a reflection of D'
across the x-axis.
Identify the ordered pair that describes the location of the campfire. Express your answer using decimal notation.
The coordinates of the campfire is D'' ( x₂ , y₂ ) = D'' ( 4.5 , -4.5 )
What is Reflection?
Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images
The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of the point (x, y) across the y-axis is (-x, y)
Given data ,
Let the coordinates for the dining be = D (x , y )
Let the coordinate of the point D (x , y ) be = D ( -4.5 , 4.5 )
Now ,
The coordinates for the flag pole is D'
where D' ( x₁ , y₁ ) is the reflection of D (x , y ) across the y-axis
So , When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of the point (x, y) across the y-axis is (-x, y)
Therefore , D' ( x₁ , y₁ ) = D' ( 4.5 , 4.5 )
Now ,
The coordinates for the campfire is D'' ( x₂ , y₂ )
where D'' ( x₂ , y₂ ) is the reflection of D' ( x₁ , y₁ ) across the x-axis
So , When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse. The reflection of the point (x, y) across the x-axis is (x, -y)
Therefore , D'' ( x₂ , y₂ ) = D'' ( 4.5 , -4.5 )
Hence , The coordinates of the campfire is D'' ( x₂ , y₂ ) = D'' ( 4.5 , -4.5 )
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Find the missing angle measures. PLS HELP IM SO CONFUSED AND I HAVE A TEST TOMMROW
Answer:
7. x = 35 y = 25
6. m = 129
10. 30
Step-by-step explanation:
The sum of the interior angles of a tringle is 180°. The smaller tringle on the right adds up to 180.
One angle is 90, that is the angle that has a small square. Another angle is 55 so the last angle needs to be 35 (90+ 55+35 = 180)
The larger triangle is 25 (90 + 55 + 10 + 25 = 180)
6 m= the sum of the other two angles that are given
10 140 = 90 + 1
1 = 30
Answer:
Step-by-step explanation:
I think you are trying to answer #7 ? I'll do that one
I see that you knew X =35°
and you knew that b/c it's always 180° around the inside, or interior , or minor angles of the RIGHT triangle (i'm making a big point out of the triangle being a "Right" one, b/c it matters for what we know about the triangle.)
so now you can add 10° to the 55° to get the next bigger RIGHT triangle.
65° is the upper angle so the ∠z = 25°
also you know [tex]y^{0}[/tex] b/c you know [tex]x^{0}[/tex] = 35° and
[tex]y^{0}[/tex] + [tex]x^{0}[/tex] = 180 , again
[tex]y^{0}[/tex] = 180-35
[tex]y^{0}[/tex] = 145°
Please do 2,3,4,5 and show work on how you got the answers. no graphing needed just the points
1) Coordinates are (2,-6) and (1,-1)
2) Points are (1,2) and (2,8).
Define coordinates.You do the reverse to determine a point's coordinates in a coordinate system. Start at the point, then move up or down a vertical line until you reach the x-axis. Your x-coordinate is shown there. To get the y-coordinate, repeat the previous step while adhering to a horizontal line.
A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.
Given,
Function:
1) f(x) = -x² - 2x + 2
Let x be 1
y = -(1)² - 2(1) +2
y = -1 -2 + 2
y = -1
Points are (1, -1)
Let x be 2
y = -(2)² - 2(2) + 2
y = -4 -4 + 2
y = -6
Points are (2,-6)
2) f(x) = -2x²
Let x be 1
y = 2(1)²
y = 2
Let x be 2
y = 2(2)²
y = 8
So,
Coordinates are (1,2) and (2,8)
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PLEASE HELP ASAP
The following table shows lemonade sales at certain temperatures.
1A - What kind of function does the scatter plot model?
1B - What is the equation that models this function? Round to the nearest tenth.
1C - Using your equation, predict the sales for when it was 98 degrees.
for the other one its: The value of a car depreciates over time. The table shows the value of a car over a period of time.
2A - What kind of function does the scatter plot model?
2B - What is the equation that models this function? Round to the nearest tenth.
2C - Using your equation, predict the value of the car at 9 years.
Answer:
1a the scatter plot models the heart
Let f(x) = 4x-5 and g(x) = 3x, find (f+g)(x).
Answer:
7x-5
Step-by-step explanation:
what is the name of this system? consistent and dependent, consistent and independent, or inconsistent?
If a system has at least one solution, it is said to be consistent .
For system to be independent,
If a consistent system has exactly one solution, it is independent .
For system to be dependent,
If a consistent system has an infinite number of solutions, it is dependent .
The graph is given in the question tab which has exactly one solution.
So the given system is consistent and independent.
The table lists the locations of four underwater camreas relative to sea level which camrea is the farthest from the surface of the water
The fish camera will farthest from from the surface of water as it is -15 1/3 feet away that is 15 1/3 feet below the sea level. so correct option is B.
What is number line?A number line is a diagram of a graduated straight line used to represent real numbers in elementary mathematics. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point. A number line is a visual representation of numbers on a straight line in mathematics. A number line's numbers are arranged in a sequential manner at equal intervals along its length. It is typically represented horizontally and can extend indefinitely in any direction. A number line is exactly what it sounds like—a horizontal, straight line with numbers spaced evenly apart along its length.
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(Write an algebraic expression to model the given context. Give your answer in simplest form.)
Answer: 19t + 100
Explanation:
From the information given,
she earns $19 per hour
Last week, she worked t hours. This means that the amount earned in t hours is
t * 19 = 19t
If her friend paid her $100 for photoshoot, the expression to represent the total amount April earned last week is
19t + 100
I need help graghing
y = (5/3)^x
For x= 0 , y = 1
For x=1,. y= 5/3
For x=2. y = 25/9= 2 + 7/9
For x= 3. y= (25/9)•5/3 = 10/3 + 35/27
For x= 4. y= (10/3 + 35/27)•5/3= 50/9 + 175/81= 625/81
For x= 5 y = (625/81)•5/3= 3125/243
For x=6. y= 15625/243 = 64 + 73/243
For x=7. y=78125/729 = 107+ 122/729
For x=8. y= 390625/2187= 178+ 1339/2187
NOW Part 2 Drawing it
A box of cereal costs $3.59 for 30 oz. Find the unit cost, round to the nearest hundredth. ?
(Lesson 12.2) Graph the system of linear inequalities. Give two ordered pairs that are solutions andtwo that are not solutions. (2 points)9.sy 3x + 3w<-286I422 46 8-8 -6 -4 -20-2
ANSWER :
Two ordered pairs (Solution) : (-4, -4) and (-3, -3)
Two ordered pairs (Not a solution) : (1, 1) and (2, 3)
EXPLANATION :
From the problem, we have :
[tex]\begin{gathered} y\ge3x+3 \\ y<-2 \end{gathered}[/tex]Note that the boundary line is dashed or broken if the inequality symbol is < or >.
Otherwise, the boundary line is a solid line.
Graph the first inequality :
Change the symbol to "="
[tex]y=3x+3[/tex]Solve for the x and y intercepts.
[tex]\begin{gathered} \text{ when x = 0 :} \\ y=3(0)+3=3 \\ \\ \text{ when y = 0 :} \\ 0=3x+3 \\ -3x=3 \\ x=-\frac{3}{3}=-1 \end{gathered}[/tex]Test the inequality at the origin (0, 0)
The region will pass through the origin if it satisfy the inequality.
[tex]\begin{gathered} y\ge3x+3 \\ 0\ge3(0)+3 \\ 0\ge3 \\ \text{ False!} \end{gathered}[/tex]Therefore, the region will NOT pass through the origin.
Plot the points (0, 3) and (-1, 0).
Connect it with a solid line.
The region will NOT pass the origin.
Graph the second inequality :
Change the symbol to "="
[tex]y=-2[/tex]Since y must be less than -2, the region is from y = -2 to the negative infinity.
Plot the point (0, -2) and draw a horizontal dashed line since the symbol is <.
That will be :
The solution to the inequality is the overlapping region.
Any point in the overlapping region is a solution.
Two ordered pairs solution are (-3, -3) and (-4, -4)
Two ordered pairs that are NOT a solution : (1, 1) and (2, 3)
which description shades length of the number line below?
Given the number line, it appears that in every 1/2 of a number, there are 5 bars in it. And in every 5 bars, 4 bars were shaded.
Adding the number of shades, we get:
4 + 4 + 4 = 12
Adding the total number of bars, we get:
5 + 5 + 5 = 15
The total number of bars sums up to be 3/2 in the number line.
Putting this into an equation, we get:
[tex]\text{ }\frac{12}{15}\text{ of }\frac{3}{2}\rightarrow\frac{\frac{12}{3}}{\frac{15}{3}}\rightarrow\frac{4}{5}of\frac{3}{2}\text{ }[/tex]Therefore, the answer is 4/5 of 3/2. It is letter B.
Which box plot represe nts the data sei {1,3,5,7,9,11)? -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 © 2018 Songlind Created using Geogebra -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 2018 Song Crested using GeoGebra 1 2 3 4 5 6 7 8 9 10 11 © 2018 Songs Created using GeoGebra -1 0 1 2 3 4 5 6 7 8 9 10 11 12-13 2018 StrongMind Created using GeoGebra
The graphs represents the box plot of the data, then it divides the data in fourths.
Since we have 6 data, the median must be the average
[tex]\frac{5+7}{2}=6[/tex]Since the only option where the median is in the number 6 is the third one then that is the correct answer.
But we can analyse more about the data, since
[tex]\begin{gathered} \frac{1}{6}\cong0.167 \\ \frac{2}{6}\cong0.33>0.25 \end{gathered}[/tex]Then, the firs quartile must be at the second number, that is, the number 3, and the third quartile at the fifth number, that is, 9.
Colette earned a total of $15 for 3 hours of yard work. How many hours in all will it take Colette to earn $20? Assume the relationship is directly proportional.
Answer:
Step-by-step explanation:
It would take four hours because you divide fifteen dollars by three hours which would be five per hour. If each hour is five dollars, then four hours would be twenty dollars.
A line has a slope of 1 and includes the points (-7, -3) and (c, 4). What is the value of c
Answer:
c = 0
Step-by-step explanation:
You want the value of c such that point (c, 4) is on the line with slope 1 through point (-7, -3).
Point-slope equationThe point-slope equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
The line with slope 1 through point (-7, -3) has equation ...
y +3 = 1(x +7)
y = x +4 . . . . . . . subtract 3 and simplify
(c, 4)The value of x when y=4 can be found using this equation.
4 = x +4
0 = x . . . . . . . subtract 4
The value of c is 0.