Fill in only the blanks. (Whatever that has an answer like the domain don’t do it)only do the empty blanks
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From the graph, we can conclude:
[tex]Range\colon(-\infty,1)[/tex]As:
[tex]\begin{gathered} x\to0,f(x)\to-\infty \\ x\to\infty,f(x)\to1 \end{gathered}[/tex]x-intercept:
[tex](1,0)[/tex]Asymptote:
Vertical asymptote:
[tex]x=0[/tex]Horizontal asymptote:
[tex]y=1[/tex]Related Questions
I need to see if I answer the problem Correctly
Answers
For every 2 green rattles, it sells 7 yellow rattles.
The ratio of green to yellow rattles sold is: 2:7
Total rattles sold: 108
Yellow rattles sold:
(total rattles/sum of ratio) x yellow ratio
(108/9)*7 = 12*7 = 84 rattles
84 yellow rattles
What is the area of parallelogram ABCD?This is a diagram of parallelogram ABCD. Point A is located at (2,1). Point B is located at (8,1). Point C is located at (11,5). Point D is located at (5,5).A. 30 units²B. 55 units²C. 24 units²D. 12 units²
Answers
If we draw the given points, we have the following:
The area of a parallelogram can be calculated as the height of it multiplied by its lenght of the base.
In this case, the height will be the distance of the coodinate y = 1 to the coordinate y = 5, which is equal to Δy = 5-1 = 4.
And the base is the distance from the point A to point B, which can be calculated as Δx = 8 - 2 = 6
Now, using the formula, we have:
[tex]\begin{gathered} A_{parallelogram}=b\times h \\ \\ A_{parallelogram}=6\times5 \\ \\ A_{parallelogram}=30\text{ }units² \end{gathered}[/tex]From the solution developed above, we are able to conclude that the correct answer for the present question is:
A. 30 units²Events A and B are independent. The P(A) = 3/5, and P(not B) = 2/3. What is P(A and B)?
Answers
Given:
Events A and B are independent.
P(A)=
[tex]\frac{3}{5}[/tex]P(not B)=
[tex]\frac{2}{3}[/tex]Required:
P(A and B).
Answer:
We have given that P(A)=
[tex]\frac{3}{5}[/tex]P(not B)=
[tex]\frac{2}{3}[/tex]Then P(B)=
[tex]\begin{gathered} P(B)=1-P(not\text{ B}) \\ P(B)=1-\frac{2}{3}=\frac{1}{3} \end{gathered}[/tex]Hence, P(A and B)=
[tex]P(A)\cdot P(B)=\frac{3}{5}\times\frac{1}{3}=\frac{1}{5}[/tex]Final Answer:
P(A and B)=
[tex]\frac{1}{5}[/tex]The slope of a graph is ratio of the change in the y - variable to the change in the x - variable True or false
Answers
ANSWER
True
EXPLANATION
We want to understand the meaning of slope.
The slope of a graph is known as the rate of change of the dependent variable with the independent variable.
It is the rate of change of the graph.
This means that it tells us how the y values of the graph vary with the x values.
Therefore, the slope of a graph is ratio of the change in the y - variable to the change in the x - variable.
Part II: Graph the following inequalities on the coordinate grid provided. 5. y > 2x + 1 4. y
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Given the inequality;
[tex]y\ge2x+1[/tex]to draw the inequality, first we need to graph the line y = 2x + 14
As the sign is > or equal , so the line will be solid line
So, the following image is the graph of the inequality
the shaded area represents the solution of the inequality
18 in3.4.35 km5.6.15.6 amy7 mm7.8.58 yd10.2 m78-* 306.3: 243.47: 144:: 497: 8171 267*: 8417
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We need to calculate the area of the circle
[tex]\begin{gathered} \text{Area of circle =}\pi r^2 \\ \text{radius of circle = 29ft,} \\ Area\text{ of circle = }\pi\text{ }\times(29ft)^2 \\ \text{Area of circle = }\pi\text{ }\times841ft^2 \\ \text{Area of circle = 84}1\pi ft^2 \end{gathered}[/tex]Therefore
The area of the circle is 841 square feet
=● RATIOS, PROPORTIONS, AND PERCENTSFinding the principal, rate, or time of a simple interest loan or...Try AgainYour answer is incorrect.Alonzo borrowed $800 from a lender that charged simple interest at an annual rate of 9%. When Alonzo paid off the loan, he paid $216 in interest. How longwas the loan for, in years?If necessary, refer to the list of financial formulas. I need help with this math problem please.
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The simple interest rate formula is:
[tex]A=P(1+rt)[/tex]To find the total amount We add:
[tex]A=800+216=1016[/tex]To find the total of years We can clear the t variable in the equation like this:
[tex]\begin{gathered} \frac{A}{P}-1=rt \\ \frac{\frac{A}{P}-1}{r}=t \end{gathered}[/tex]So We will find the time as follows:
[tex]t=\frac{\frac{1016}{800}-1}{0.09}=3[/tex]The loan was for 3 years.
Can someone help me with this math problem I have like 20 more and I really need help
Answers
We can find the x-intercept when y=0 so replacing y for 0 we have
[tex]\begin{gathered} -5x+2(0)=10 \\ -5x=10 \\ x=\frac{10}{-5}=-2 \end{gathered}[/tex]The x-intercept is (-2,0).
Now we are going to replace x for 0 to find the y-intercept
[tex]\begin{gathered} -5(0)+2y=10 \\ 2y=10 \\ y=\frac{10}{2}=5 \end{gathered}[/tex]The y-intercept is (0,5).
For the graph of 4x -9y=12 we have that the x-intercept is (3,0) and the y-intercept is (0,-4/3)
Find an equation for the perpendicular bisector of the line segment whose endpoints are (-2,1) and (-6,5)
Answers
Here, we want to find the equation of the perpendicular bisector of th line segment with the given endpoints
We start by calculating the slope of the line segment
Mathematically, we can have that as;
[tex]\begin{gathered} m\text{ = }\frac{y_2-y_1}{x_2-x_1} \\ \\ m\text{ = }\frac{5-1}{-6-(-2)}=\text{ }\frac{4}{-4}\text{ = -1} \end{gathered}[/tex]So, we have the slope of the line as -1
Mathematically, the slopes of two lines which are perpendicular to each other have a product of -1
Thus;
[tex]\begin{gathered} m_2\text{ }\times\text{ (-1) = -1} \\ \\ m_2\text{ = 1} \end{gathered}[/tex]Now, we need the midpoint segment coordinates as it is the point through which the perpendicular bisector will pass through
We can get these coordinates using the mid-point formula
That will be;
[tex]\begin{gathered} (x,y)\text{ = (}\frac{x_2+x_1}{2},\frac{y_2+y_1}{2}) \\ \\ (x,y)\text{ = (}\frac{-2-6}{2},\frac{1+5}{2}) \\ \\ (x,y)\text{ = (-4,3)} \end{gathered}[/tex]So we use the point-slope formula to get the equation
That will be;
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-3\text{ = 1(x+4)} \\ y-3\text{ = x + 4} \\ y\text{ = x + 4 + 3} \\ y\text{ = x + 7} \end{gathered}[/tex]The lines represented by the equations y + 3/2x = 7 and 9y - 6x = 27 are O parallel Submit Answer the same line O neither parallel nor perpendicular O perpendicular
Answers
y+3/2x=7 (a)
9y-6x=27 (b)
Express both lines in slope-intercept form:
y= mx+b
Where :
m= slope
b= y-intercept
a.
y= -3/2x+7
m= -3/2
b.
9y-6x=27
9y= 6x+27
y= (6x+27)/9
y= 2/3x+3
m= 2/3
Both slopes are negative reciprocals of each other.
If two lines have negative reciprocal slopes, they are perpendicular lines.
PERPENDICULAR.
А.
U. 3y2 +y-1
X-8
0.X-8+
G. X-3
+2x+1
D. 2k2+8k+15+
24
1. 3k +16 +-14
R X-1
Y. x2-3x +4 +
E. X+4
M. x2-8x +24 +-68
X+3
T. y2 – 8y +12
1 2 3
4 5
6 7
9
10
11
12
13 14
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SOLUTION
After solving the numbers in front of the letters, we have:
A=4 ,B=14, C=2, D=6, E=1, F=15, G=17, H=27, I=33, J=3, K=40,L=22, M=5
N=19, O=11, P=16, Q=24, R=0, S=12, T=32, U=75, V=18, W=7, X=20, Y=35, Z=36
Now, we will match these numbers to the letters to form words.
4,16,0,33,22: APRIL
12,27,11,7,1,0,12: SHOWERS
5,4,35: MAY
15,22,11,7,1,0,12: FLOWERS
4,19,6: AND
1,18,1,0,35,32,27,33,19,17,12: EVERYTHING
33,19: IN
Last year's freshman class at State University total 5,320 students. Of those 1,262 received a merit scholarship to help offset tuition costs. The amount a student received was N($3,450 , $480). if the cost of a full tuition was $4,050 last year , what percentage of students who received a merit scholarship did not receive enough to cover full tuition ? ( Round to nearest whole percent)Percentage of students ________%
Answers
Answer: We need to find the percentage of students that received a scholarship that did not cover their full tuition:
The number of students that received a scholarship was:
[tex]1262[/tex]The amounts that students received were:
[tex]\begin{gathered} 3,450\text{ Dollars} \\ 480\text{ Dollars} \end{gathered}[/tex]But the actual tuition cost was:
[tex]4050\text{ Dollars}[/tex]Therefore, none of the students that received scholarship had received enough to cover the full tuition, because:
[tex]\begin{gathered} 4050>3450 \\ 4050\text{ }>480 \end{gathered}[/tex]So, 100% of the students that received scholarships, did not receive enough to cover their tuition.
which price below has the same unit rate as 3 cans for $ 1.98? Select All That Apply●6 cans for $4.00 ●5 cans for $5.90●2 cans for $1.32 ●4 cans for $3.60
Answers
Divide the price of 3 cans over 3 to find the unit rate:
[tex]\frac{1.98}{3}=0.66[/tex]Perform the same operation with the other rates to find which of them have the same unit rate:
6 cans for$4.00
[tex]\frac{4}{6}=0.67[/tex]5 cans for %5.90
[tex]\frac{5.90}{5}=1.18[/tex]2 cans for $1.32
[tex]\frac{1.32}{2}=0.66[/tex]4 cans for $3.60
[tex]\frac{3.60}{4}=0.9[/tex]Therefore, the only one which has the same rate as 3 cans for $1.98 is 2 cans for 1.32
Maria drove 871 miles in 13 hrs. At the same rate, how many miles would she drive in 8 hours?
Answers
Given data: Distance= 871 and time =13 hrs
Required: Find the distance
Method: Find the speed first and then get the distance
Step 1: Find the average speed
[tex]\text{speed}=\frac{\text{distance covered}}{\text{time taken}}[/tex][tex]\text{speed}=\frac{871}{13}=67\text{ miles/hour}[/tex]Step 2: Find the distance to be covered in 8 hours
[tex]\text{Distance}=\text{ spe}ed\text{ x time taken}[/tex][tex]\begin{gathered} \text{Distance}=67\text{ miles/hour x 8 hours } \\ \text{Distance =536 miles} \end{gathered}[/tex]Therefore, Maria will drive 536 miles in 8 hours
Which expressions are equivalent to the one below? Check all that apply.log71 •logg 25O A. 2• log77OB. 1O COO D. 5.7
Answers
Problem
[tex]\log ^1_7\text{ . }\log ^{25}_5[/tex][tex]\begin{gathered} =\text{ }\log ^{1\text{ }}_7\text{ x }\log ^{5^2}_5 \\ =\text{ }\log ^1_7\text{ x 2}\log ^5_5 \\ \log ^1_7\text{ = 0 and }\log ^5_5\text{ = 1} \\ =\text{ 0 }\times\text{ 2 }\times\text{ 1} \\ \text{= 0} \end{gathered}[/tex]Final answer
Option C is equivalent to the expression.
Simplify the expression:9m + 6( m + 7 )
Answers
ANSWER
15m + 42
EXPLANATION
We want to simplify:
9m + 6(m + 7)
To do this, first expand the bracket:
9m + 6m + 42
Now, collect like terms and simplify:
15m + 42
That is the simplified expression.
GM no isiecrjreieief G k if f D F hi it
Answers
Solution
Proportion is represented by colon:
Order from Greatest to Least -2.30 , -13/4,-3 1/8,-14/5
Answers
According to the given data we have the following numbers:
-2.30 , -13/4,-31/8,-14/5
To order from Greatest to Least the above numbers first we would have to divide the numerator by the denominator of each of the fractions so we can get the decimal number and so it would be easier to order the numbers.
So:
-13/4=-3.25
-31/8=-3.875
-14/5=-2.8
Therefore, the Order from Greatest to Least of the numbers would be:
-2.30,-14/5,-13/4,-31/8
The distance between two distinct points: ordered pair 1 (x , y) and ordered pair 2 (x, y) is given by the formula ____?____.(I need the formula)
Answers
Given an ordered pair 1:
[tex]\mleft(x,y\mright)[/tex]And a distinct ordered pair 2:
[tex](x,y)[/tex]You can rewrite them as:
[tex]\begin{gathered} (x_1,y_1) \\ \\ (x_2,y_2) \end{gathered}[/tex]According to the Pythagorean Theorem, for Right Triangles:
[tex]c=\sqrt[]{a^2+b^2}[/tex]Where "c" is the hypotenuse and "a" and "b" are the legs of the Right Triangle.
Then, you can set up that:
Then, to find the hypotenuse of the Right Triangle or the distance "d" between the points, you can apply the Pythagorean Theorem and set up that:
[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Therefore, the answer is:
[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]After watching some fish 40 feet below the surface of the water, a scuba diver went up 15 feet to explore a coral reef Use a number line to help you create an equation that shows the location of the coral reef in relation to the water's surface. mo Interpret the sum in the context of the problem A. The equation is -40 (-16) 28 The coral reef is 5 feet belo the water's surface
Answers
First he was 40 feet below surface, so he was at -40 feet
The he went up 15, so now he is -40 + 15 = -25, that means 25 feet below surface
So the right equation is D and for the line:
Graph the following relation. Use the graph to find the domain and range (in interval form) and indicate whetherthe graph is the graph of a function.y = -4 Domain: Range { }
Answers
Given:
[tex]y=-4[/tex]Required:
To draw the graph and find the domain and range.
Explanation:
The graph of the function will be,
We know that,
The domain is the set of all input values for the function and the range is the set of all output values for the function.
Therefore, we get,
[tex]\begin{gathered} Domain:(-\infty,\infty) \\ Range:\lbrace-4\rbrace \end{gathered}[/tex]Yes, it is a function.
Because each input value has exactly one output value.
Final answer:
[tex]\begin{gathered} Domain:(-\infty,\infty) \\ Range:\lbrace-4\rbrace \end{gathered}[/tex]
And it is a function.
Please ensure that you provide the important points (the x and y - intercepts, and the vertices),and please clearly label them on the Cartesian coordinate system. [15 points]
Answers
Given the piece-wise function
[tex]k(x)=\begin{cases}|x|,x\ge3 \\ \\ 2x^2-4x+3,x<3\end{cases}[/tex]The graph of
[tex]|x|\text{ for x }\ge3[/tex]Is shown below
The graph of
[tex]2x^2-4x+3\text{ for x < 3}[/tex]Is shown below
The graph of the piece-wise function is shown below
The blue curve represents the quadratic function and the red line represent the absolute function
you buy a new iphone 12 pro max for $1099 the value of the iphone decreases by 25% annually write a model for the value of the phone and use the model to see how much it would be worth after 3 years ?
Answers
The price of the iphone can be modeled by the following expression:
[tex]A=P(1-r)^t[/tex]where,
A: price of the iphone after t years
P: initial price = 1099
r: rate of percetage decrease in decimal for = 0.25
t: years
Then, the function becomes:
[tex]\begin{gathered} A=1099(1-0.25)^t \\ A=1099(0.75)^t \end{gathered}[/tex]The price of the iphone after t = 3 years, according to the previous expression is:
[tex]\begin{gathered} A=1099(0.75)^3 \\ A=463.64 \end{gathered}[/tex]Hence, the price of the iphone after 3 years would be $463.64
Your statistics class has 26 students in it - 14 girls and 12 boys. Your teacher uses a calculator to select two students at random to solve a problem on the board. Given that the second student chosen is a girl, what is the probability that the first student was also a girl?
Answers
The probability that the first student was also a girl is 0.175.
What is probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true.
The fraction of choosing a girl will be:
= Number of girls / Number of students
= 14 / 26
= 7/13
Therefore, the probability of having both girls will be:
= 7/16 × 6/15
= 0.175
The probability is 0.175.
Learn more about probability on:
brainly.com/question/24756209
#SPJ1
Given cos = 0.9528, find .
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Given:
[tex]\cos \theta=0.9528[/tex]To find the value of θ,
[tex]\begin{gathered} \cos \theta=0.9528 \\ \theta=\cos ^{-1}(0.9528) \\ \theta=17.6739^{\circ} \end{gathered}[/tex]Every time I type this in a calculator it’s shown 9.99999999999999999999
Answers
Given
[tex]\frac{2}{11}\times\frac{1}{2}[/tex]Answer
[tex]\begin{gathered} \frac{2}{11}\times\frac{1}{2} \\ =\frac{1}{11} \\ =0.909090\ldots \end{gathered}[/tex]What is The percent increase of 78 to 124
Answers
The percent increase of 78 to 124 is: 58.97%
[tex]\frac{\text{ Final value }-\text{ Initial value}}{\text{ Initial value}}\cdot100=\frac{124-78}{78}=58.97\text{ \%}[/tex]rounded to the nearest percent is 59%
The two shorter sides of a right triangle measure 18 ft and 24 ft. What is the measure in feet of the third side?
Answers
We have that in a right triangle, the larger side is the hypothenuse since the sum of the others angles must be equal to 90. Thus, we can apply the Pythagorean Theorem to solve this question.
The legs of the triangle are a = 18 ft, b = 24 ft, and c = ?.
Then, applying the Pythagorean Theorem, we have (without using units):
[tex]c^2=a^2+b^2\Rightarrow c^2=(18)^2+(24)^2\Rightarrow c^2=324+576\Rightarrow c^2=900[/tex]Then, taking the square root to both sides of the equation, we have:
[tex]\sqrt[]{c^2}=\sqrt[]{900}\Rightarrow c=30[/tex]Then, the measure of the third side (hypothenuse) is c = 30 ft.
To find the height of a display in a museum, a person place a mirror on the ground 35ft from the display. Then he stepped back 5ft so he could see the top of the display. His eyes were about 5'4" from the ground. What is the height of the display?(ill send the image because it was to big)
Answers
Now let's calculate the angle of the first triangle. We will use the tangent function because we have information from the opposite side and the adjacent side.
[tex]\begin{gathered} \tan \theta=\frac{5\text{ ft 4''}}{5\text{ ft}} \\ \end{gathered}[/tex][tex]\begin{gathered} \theta=\tan ^{-1}(1.0666) \\ \theta=46.84\text{ degree} \end{gathered}[/tex]With this angle we can calculate the height of the display. Again we will use the tangent function.
[tex]\begin{gathered} \tan (46.84)=\frac{x}{35} \\ x=35\cdot\tan (46.84) \end{gathered}[/tex][tex]x=37.33\text{ ft}[/tex]The answer would be 37.33 ft the height of the display
Exercise #1: We would like to find the distance between points A and B if they have coordinates A(2,3) and B(14, 12). B (a) Sketch the right triangle below that could be used to calculate the length of AB and find its length using the Pythagorean Theorem. (b) How could we calculate the lengths of the legs of the right triangle in (a) from the coordinates of points A and B.
Answers
Answer
Check Explanation
Explanation
We've been asked to find the length of the distance between points A (2, 3) and B (14, 12).
a) First of, we've been asked to sketch the right angle triangle that coulb be used to calculate the distance AB
The sketch will be shown below
So, the figure above represents the right angle triangle that can be used to calculate the distance AB
Distance AB = hyp = ?
Distance between the x-coordinates of points A and B = x = 14 - 2 = 12
Distance between the y-coordinates of points A and B = y = 12 - 3 = 9
The Pythagoras Theorem is used for right angled triangle, that is, triangles that have one of their angles equal to 90 degrees.
The side of the triangle that is directly opposite the right angle or 90 degrees is called the hypotenuse. It is normally the longest side of the right angle triangle.
The Pythagoras theorem thus states that the sum of the squares of each of the respective other sides of a right angled triangle is equal to the square of the hypotenuse. In mathematical terms, if the two other sides are x and y respectively,
x² + y² = (hyp)²
For this question,
x = 12 units
y = 9 units
hyp = AB = ?
x² + y² = (hyp)²
12² + 9² = AB²
144 + 81 = AB²
225 = AB²
We can rewrite this as
AB² = 225
Take the square root of both sides
√(AB²) = √(225)
AB = 15 units
b) The second part of the question asks how we calculated the legs of the right angle triangle that we used to solve this distance between AB.
Since both points lie on given x and y axis levels in the coordinate system, the length of the legs of this right angle triangle is obtained simply by taking the difference between respective x and y coordinates.
For the base of the triangle,
Distance between the x-coordinates of points A and B
= x
= 14 - 2
= 12 units
For the height of the triangle,
Distance between the y-coordinates of points A and B
= y
= 12 - 3
= 9 units
Hope this Helps!!!