Question 4Mutiple Choice Worth 1 points)(05.06 MC)Determine the equation for the line of best fit to represent the data.Oy-3x+1Oy=-x+1Oy=-x+1
Slope intercept form:
y= mx + b
Where:
m= slope ( rise/run)
b= y-intercept ( where the line crosses the y axis )
We can see that the equation crosses the y axis at y= 1 , b = 1
And it goes down 1 unit for every 5 units to the right (m= -1/5)
y= -1/5x + 1
Does this pair show a reduction why or why not
For there to be a reduction, it not only has to be smaller, but it must be proportional and conserve the angles.
Therefore, the answer correct is the first option.
| Log Out English Espan 6 The quadrilateral JKLM is translated 4 units to the left and 1 unit down to form quadrilateral J'K'L'M'. What are the coordinates of K? 4 (1, 2) K(3, 2) 2 -6 -4 -2 2 4 6 M(-1, -2)4 L(4, -3) -4 -6 A (71) B (0,1) © (-1,1) D (-3, 1) Calculator Formulas
Answer:
(-1, 1)
Explanation:
From the quadilateral JKLM given, the coordinate K is (3,2)
If quadilateral is translated 4 units to the left and 1 unit down, then the resulting coordinate K' will be expressed as;
K(3,2)
= K'(3-4, 2-1)
= K'(-1, 1)
Note that the constant 4 was deducted from the coordinate x axis (left translation) and constant 1 was deducted from the y coordinate(downward translation)
Hence the required K' coordinate will be at (-1, 1)
n(x) =1+x^2 and m(x) =2-x Given:minimum x and Maximum x: -9.4 and 9.4minimum y and maximum y: -6.2 and 6.2Using the rational function [y=n(x)/m(x)], draw a graph and answer the following: a) what are the zeroes?b) are there any asymptotes? c) what is the domain and range for this function?d) it it a continuous function?e) are there any values of y= n(x)/m(x) that are undefined? Explain
we have the function
[tex]y=\frac{1+x^2}{2-x}[/tex]Part a
what are the zeroes?
Solve the quadratic equation in the numerator
x^2+1=0
x^2=-1 -----> the solutions are complex numbers
therefore
the given function has no zeros
Part b
are there any asymptotes?
Remember that the denominator cannot be equal to zero
so
2-x=0
x=2 -----> is a vertical asymptote
Part c
what is the domain and range for this function?
Domain
[-9.4,2) U (2,9.4]
Range
To find out the range, we need to find out the vertex of the rational function
Find out the first derivative of the given function
[tex]y^{\prime}=\frac{-x^2+4x+1}{(2-x)^2}[/tex]Equate to zero
-x^2+4x+1=0
Solve the quadratic equation
the values of x are
x=-0.236 and x=4.236
Find out the values of y, for that values of x
the points are
(-0.236,0.472) and (4.236,-8.472)
the range is
[0.472,6.2]
Part d
t it a continuous function?
Yes, is a continuous function
Part e
are there any values of y= n(x)/m(x) that are undefined?
No, the function is defined in all its domain
End behavior
In this case, we have that
Degree on Top is Exactly One Greater Than the Bottom
In this case, the graph has a slant asymptote along some line y = mx + b
To find the equation of the line, perform polynomial long division - the quotient gives you
mx + b (the remainder can be ignored)
so
(x^2+1) : (-x+2)
-x-2
-x^2+2x
-------------
2x+1
-2x+4
--------
5
the equation of the slant asymptote is
y=-x-2
therefore
End behavior
x→−∞ y →+∞
x→+∞ y →−∞
If a shape is dilated by a scale factor of 4, what is the resulting area of the image?A.) The same as thearea of thepreimageB.) The new area is 3times larger thanthe preimageC.) The new area is 4times that of thepreimageD.) The new area is 16times larger thanthe preimage
ANSWER
The new area will be 16 times larger than the preimage.
EXPLANATION
The shape is dilated by a scale factor of 4.
When a shape is dilated, the area of the image changes quadratically.
This means that if a shape is dilated by a factor of k, the area of the image will become k^2 of the preimage.
Therefore, the area of the shape dilated by a scale factor of 4, will change by:
4^2 = 4 * 4 = 16
The new area will be 16 times larger than the preimage.
Option D is the answer.
Which of these is not represented by one of the letters in PITI?O A. PrincipalB. InterestC. InsuranceD. Title
PITI is the acronymn for Principal, Interest, Taxes and Insurance.
So from the acronymn, we can see that Title is not part of it.
Therefore, the correct answer is Title
Carson wants to use a sheet of fiberboard 29 inches long to create a skateboard ramp with a 19∘angle of elevation from the ground. How high will the ramp rise from the ground at its highest end? Round your answer to the nearest tenth of an inch if necessary.
If Carson wants to use a sheet of fiberboard 29 inches long to create a skateboard ramp with a 19∘angle of elevation from the ground. The height that the ramp will rise from the ground at its highest end is 9 inches.
What is the angle of elevation and depression?Given data:
Length of the ramp = 29 inches
Angle of elevation = 19 degrees
Now let determine the height of the ramp by making use of the SOH CAH TOA identity:
SOH = Sine is opposite over hypotenuse
CAH = Cosine is adjacent over hypotenuse
TOA =Tangent is opposite over adjacent
Let h represent the height
sin 19 = opp/hyp
sin 19 = H/29
H = 29 × sin 19
H = 9.4 inches
H= 9 inches (Approximately)
Therefore we can conclude that 9 inches is the height of the ramp.
Learn more on angle of elevation here:https://brainly.com/question/26125204
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Answer: 9.4
Step-by-step explanation:
(x + 2y) 4; x = 2, y = 4
We have to evaluate the expression for the given values of the variables:
[tex]\begin{gathered} (x+2y)^2 \\ x=2 \\ y=4 \\ \longrightarrow(2+2\cdot4)^2=(2+8)^2=10^2=100 \end{gathered}[/tex]We replace the value of x by 2 and y by 4 and solve.
The value for the expression is 100.
If g(n) varies inversely with n and g(n)- 12 when n-3 then find the value of n wheng(n)= 6Round final answer to the tenths place. If answer is a whole number then put a zeroin the tenths place
find the value of n when g(n) = 6
[tex]\begin{gathered} g(n)=6 \\ g(n)=\frac{36}{n} \\ n=\frac{36}{g(n)} \\ n=\frac{36}{6} \\ n=6.0 \end{gathered}[/tex]Therefore the value of n = 6.0 (tenth
I need help this assignment, I also need to go to the bathroom so I won't be talking for a bit.
Given:
The domain or the pre-image is:
[tex](-4,-2),(5,9),(-6,2)[/tex]And the range or the image is:
[tex](-2,4),(9,-5),(2,6)[/tex]From the given points, we can conclude the following rule will be:
[tex](x,y)\rightarrow(y,-x)[/tex]The previous rule is for the rotation 90 degrees clockwise or for 270 degrees counter-clockwise
So, the answer will be the second option.
270 degrees counter-clockwise.
Is Lydia correct if not what is the correct equation?
Notice that triangles XYZ and WYZ are congruent because of the SAS postulate.
Then,
[tex]\begin{gathered} 5x-5=3x+9 \\ \text{and} \\ 4x+6=5x-1 \end{gathered}[/tex]Because the pairs of corresponding sides are XZ-ZW and XY-YW.
Therefore, we cannot conclude that
[tex]XY=ZW[/tex]On the other hand, the algebra used by Lydia has no mistakes.
[tex]\begin{gathered} 4x+6=3x+9 \\ \Rightarrow-3x+4x+6=-3x+3x+9 \\ \Rightarrow x+6=9 \\ \Rightarrow x=3 \end{gathered}[/tex]So, Lydia is incorrect when setting the equation, the algebraical operations are correct.
The two valid equations are:
[tex]\begin{gathered} 5x-5=3x+9 \\ or \\ 4x+6=5x-1 \end{gathered}[/tex]We can even combine both equations and obtain
[tex]\begin{gathered} 4x+6-4=3x+9 \\ \Rightarrow4x+2=3x+9 \end{gathered}[/tex]The answer is:
Lydia is wrong because the initial equation is false. The two possible equations are 5x-5=3x+9 or 4x+6=5x-1.
Select the correct answer from the drop-doen menu.Consider this expression.-3x^2 - 24x - 36What expression is equivalent to the given expression? ___ (X + ___)(X + ___) Blank 1 Options: -3 3 Blank 2 Options: -2 2 -44Blank 3 Options:-9 96-6
A coin is weighted so that there is a 68% chance that it will come up "heads" when flipped. The coin is flipped four times. Find the probability of getting exactly three heads. Round your answer to four decimal places.
Since the coin is weighted means that the probability of getting Heads is higher.
P(Heads)= 0.68
SInce there are only 2 possible outcomes and probability must be 1 then the probability of getting tails will be:
P(tails)= 1-0.68
P(tails)=0.32
Remember that to find the probability of events that occur one after another we should multiply the probability for each one of them
THREE HEADS AND 1 TAILS
we should find what are the possible outcomes.
HHHT, HTHH, HHTH, THHH
then multiply the probabilities for each of the possible outcomes.
P(HHHT)= (0.68)*(0.68)*(0.68)*(0.32)
p(HHHT)= 0.1006
Although they are different outcomes, the probability for each one them is the same.
the probability of 3 heands and 1 tail is adding all the possible ones.
3h1t: 3 heads 1 tail
P(3h1t)=0.1006+0.1006+0.1006+0.1006
P(3h1t)= 0.4024
Answer: the probability of getting exactly 3 heads will be 0.4024
your team wins swim meets four-fifths of the time what is the probability
Probability that your team wins = 4/5
Explanations:The team wins four-fifth of the time
This means that:
Total number of meets = 5
Number of wins = 4
Probability = (Number of possible outcomes) / (Total number of outcomes)
Probability = 4/5
The function h(x) is a transformation of the square root parent function,f(x) = Vx: What function is h(x)?
Answer:
C. h(x) = √(x + 4)
Explanation:
h(x) is f(x) shifted 4 units to the left.
To translate a function 4 units to the left, we need to replace x by x + 4, so
h(x) = f(x + 4)
If f(x) = √x, then f(x + 4) = √(x + 4)
Therefore
[tex]\begin{gathered} h(x)=f(x+4) \\ h(x)=\sqrt[]{x+4} \end{gathered}[/tex]And the answer is
C. h(x) = √(x + 4)
Find the distance between (8,2) and (-1,0).
The given points are (8,2) and (-1,0).
We just need to use the following formula and the given points
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Replacing the given points, we have
[tex]\begin{gathered} d=\sqrt{(-1-8)^2+(0-2)^2} \\ d=\sqrt{(-9)^2+(-2)^2} \\ d=\sqrt{81+4}=\sqrt{85}\approx9.2 \end{gathered}[/tex]Therefore, the distance between the given points is 9.2 units, approximately.Karen takes classes at both Westside college and Pinewood college at Westside class fees are $98 per credit hour at Pinewood class fees are $115 per credit hour Karyn is taking a combined total of 18 credit hours at the two school supposed she is taking double credit hours at Westside write an expression for the combined total dollar amount she paid for her class fees
We are given that Karen's class fees are $98 per credit hour in Westside and $115 per credit hour at Pinewood. If "w" is the number of credit hours at Westside and "p" the number of credit hours in Pinewood, then the total combined cost to pay is:
[tex]T=98w+115p[/tex]We are also told that the total number of credit hours is 18, therfore, we have the following relationship:
[tex]undefined[/tex]Find the volume of the composite solid. My answer for some reason doesn’t seem to match what’s on the key. The answer I got was 871.26, but the answer on the key is 871.27.
Given:
A composite solid
Required:
To calculate volume
Explanation:
We consider this solid in two parts one is cone second is cylinder
then gonna add both volume.
[tex]\begin{gathered} volume\text{ of cone=}\frac{\pi}{3}r^2h\text{ =}\frac{3.14\times4\times4\times7}{3}=117.29 \\ we\text{ use } \\ \pi=3.14\text{ r=4 h=7 in the above equation.} \end{gathered}[/tex][tex]volume\text{ of cylinder=}\pi r^2h=3.14\times4\times4\times15=753.98[/tex]Total volume=117.29+753.98=871.27
Required answer:
871.27
The tuition in the school year 2012–2013 at a certain university was $13,000. For the school year 2017–2018, the tuition was $14,690. Find an exponential growth function for tuition T (in dollars) at this university t years after the 2012–2013 school year. (Round your values to four decimal places.)T = _______Assuming it increases at the same annual rate, use the function to predict the tuition (in dollars) in the 2021–2022 school year. (Round your answer to the nearest integer.)$________
Tuiton from 2012 - 2013 = $13000
Tuition from 2017-2018 = $14690
Time difference = t= 2017 - 2012 = 5 years interval
We apply exponential function formula:
[tex]\begin{gathered} y=ab^x \\ a\text{ = 13000 = inital tuition} \\ b\text{ = ? , }x\text{ = number of years }=\text{ t} \\ t\text{= 5} \\ y\text{ = T} \\ y\text{ = 14690} \\ 14690=13000b^5 \end{gathered}[/tex][tex]\begin{gathered} \frac{14690}{13000}=b^5 \\ 1.13=b^5 \\ b\text{ = }\sqrt[5]{1.13} \\ b\text{ = 1.02}47 \\ \\ \text{Hence, the exponetial growth function becomes:} \\ T=13000(1.0247)^t\text{ (4 decimal place)} \end{gathered}[/tex][tex]\begin{gathered} \text{ Tuition fe}e\text{ for year 2021-2022:} \\ We\text{ n}eed\text{ to find the time difference of school year 2012-2013 from 2021-2022} \\ 2021\text{ - 2012 = 9} \\ 2022\text{ - 2013 = 9} \\ t\text{ = 9 years} \\ \text{From the function gotten above: same rate} \\ T=13000(1.0247)^t \\ T=13000(1.0247)^{9^{}} \\ T\text{ = }16192.5027 \\ \\ To\text{ the nearest integer, T = \$ }16193 \end{gathered}[/tex]62 is 90.5% of what number
62 is 90.5% of what number
Let
x -----> the number
so
we have that
90.5%=90.5/100=0.905
0.905x=62
Find out the value of x
x=62/0.905
x=68.51
the number is 68.51Subtract the polynomials. (5y3 + 5y2-y-12) - (y2 - 9y+ 1) The difference is (Simplify your answer.)
To subtract two polynomials, we have to combine similar terms, as follows:
(5y³ + 5y² - y - 12) - (y² - 9y + 1) =
= 5y³ + 5y² - y - 12 - y² + 9y - 1 =
= 5y³ + (5y² - y²) + (-y + 9y) + (-12 - 1) =
= 5y³ + 4y² + 8y - 13
The skate park will also have an angled grind rail. A drafter is drawing thegrind rail on a coordinate plane.1. What is the slope and y-intercept of linen?2. Write the equation of line n in slope-intercept form. (y=mx+b)
First, notice that the line crosses the y-axis at the point (0,2), then, the y-intercept is:
[tex]b=2[/tex]now, given the points (-8,1) and (8,3), we can find the slope with the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]in this case, we have the following:
[tex]\begin{gathered} (x_1,y_1)=(-8,1) \\ (x_2,y_2)=(8,3) \\ \Rightarrow m=\frac{3-1}{8-(-8)}=\frac{2}{8+8}=\frac{2}{16}=\frac{1}{8} \\ m=\frac{1}{8} \end{gathered}[/tex]therefor, the slope is m = 1/8 and the y-intercept is b = 2
The equation in slope-intercept form is:
[tex]y=\frac{1}{8}x+2[/tex]a car gets 27 miles per gallon of gas. how many miles will the car travel on 12 gallons of gas?
Answer
The car will travel 324 miles on 12 gallons of gas.
Step-by-step Explanation
The car gets 27 miles per gallon of gas, that is, 1 gallon of gas gets the car 27 miles. In mathematical terms,
1 gallon of gas = 27 miles for the car
Let 12 gallons of gas get the car x miles.
1 gallon of gas = 27 miles for the car
12 gallons of gas = x miles for the car
Using simple mathematical relations, done by cross multiplying, we can obtain an expression that can be used to solve for x
1 × x = 27 × 12
x = 27 × 12 = 324 miles
Hope this Helps!!!
scores: 50, 70, 71, 72, 73, 72 62, 72what range of value describes the middle 50% of the scores?a. 71 to 72b. 66 to 72c. 66 to 71d, 66 to 71.5
The middle 50% of values of the data set is the interquartile range (IQR).
The IQR is given by the formula:
[tex]IQR=Q3-Q1[/tex]where Q1 is the 25th percent of values and Q3 is the 75th percent of values.
We can get the Q1 and Q3 values as shown below:
Therefore, the Q1 value will be:
[tex]Q1=\frac{62+70}{2}=66[/tex]and the Q3 value will be:
[tex]Q3=\frac{72+72}{2}=72[/tex]Therefore, the middle 50% of the scores are given from 66 to 72.
OPTION B is the correct option.
Using distributive property of an equivalent expression that has no grouping symbols -19(C+5)
Given:
-19(C+5)
Distributive property:
[tex]A\times(B+C)=A\times B+A\times C[/tex][tex]-19(C+5)=-19C-95[/tex]Which of these cannot be modeled with integer chips?
a) 2 + (-3)
b) (-3) + 2
c) 2 + 3
d) (-2) + (-3)
e) 5 – 3
f) (-3) – 5
g) 5 – (-3)
h) (-5) – (-3)
i) 3 – 5
j) 4 x (-2)
k) (-4) x 2
l) (-4) x (-2)
m) 4 x 2
n) 12 ÷ 3
o) (-12) ÷ (-3)
p) 12 ÷ (-3)
q) (-12) ÷ 3
A figure has a perimeter of 15 units. What will the new perimeter be after a dilation with a scale factor of 4?
To answer this question, we only need to multiply the perimeter of the figure by the scale factor of 4.
Therefore, the new perimeter will be after a dilation with a scale factor of 4 is:
[tex]P^{\prime}=15\cdot4\Rightarrow P^{\prime}=60[/tex]Therefore, the new perimeter will be 60 units.
I need an explanation on how I can subtract Scientific Notation
To perform the required calculation, we need to transform the first term into a scientific notation, or the second one in normal number, then we perform the calculation.
Transforming the first one into scientific notation, we have the following:
[tex]0.00045=4.5*10^{-4}=45*10^{-5}[/tex]To solve the present problem, we will use the same order for the number 10. This will allow us to make the following:
[tex]\begin{gathered} 45*10^{-5}-2.5*10^{-5}=\left(45-2.5\right?*10^{-5} \\ =42.5*10^{-5} \end{gathered}[/tex]now, we need to transform it in such a way that the number is between 1 and 10, as follows:
[tex]42.5*10^{-5}=4.25*10^{-4}[/tex]From the solution developed above, we are able to conclude that the answer to the proposed problem is:
[tex]4.25*10^{-4}[/tex]Draw the histogram for these data.43, 26, 25, 31, 36, 33, 32, 24, 22, 37, 42, 39, 35, 38, 40, 27, 41Here are the shopping times (in minutes) of a sample of 17 shoppers at a local clothing store.
Explanation:
To draw the histogram, we need to identify the frequency for each interval, so we need to count the number of values on each interval
22 - 27: 5
28 - 33: 3
34 - 39: 5
40 - 45: 4
Answer:
Then, the histogram is
i need and answer: a number of students were asked which indoor activity in when they became bored snd the results were recorded in the table.what is the ratio of students who talk on the phone when they are bored to the total population surveyed? Choices:1/13 13/5713/4444/57
Given:
Number of students talk on the phone is, n(p) = 13.
Total number of students is, N = 57.
The objective is to find the ratio of students who talk on the phone