Which of these linear equations best describes the given model? Choose 1 answer: Choose 1 answer: (Choice A) A \hat y=10x+20 y ^ =10x+20y, with, hat, on top, equals, 10, x, plus, 20 (Choice B, Checked) B \hat y=20x+20 y ^ =20x+20y, with, hat, on top, equals, 20, x, plus, 20 (Choice C) C \hat y=-20x+20 y ^ =−20x+20y, with, hat, on top, equals, minus, 20, x, plus, 20 Based on this equation, estimate the score for a student that spent 3.83.83, point, 8 hours studying.
Answers
Question:
Which of these linear equations best describes the given model? Choose 1 answer:
Choose 1 answer:
A [tex]\hat y=10x+20[/tex]
B [tex]\hat y=20x+20[/tex]
C [tex]\hat y=-20x+20[/tex]
Based on this equation, estimate the score for a student that spent 3.8 hours studying.
Answer:
[tex]\hat y = 20x +20[/tex]
Score of 96 for studying 3.8 hours
Step-by-step explanation:
Given
See attachment for graph
From the straight line of trend, we have:
[tex](x_1,y_1) = (0,20)[/tex]
[tex](x_2,y_2) = (2,60)[/tex]
The slope (m) is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{60 - 20}{2 - 0}[/tex]
[tex]m = \frac{40}{2}[/tex]
[tex]m = 20[/tex]
The equation is calculated using:
[tex]\hat y = m(x - x_1) + y_1[/tex]
This gives:
[tex]\hat y = 20(x - 0) +20[/tex]
[tex]\hat y = 20(x ) +20[/tex]
[tex]\hat y = 20x +20[/tex]
Solving (b): When study hours is 3.8
This means that [tex]x= 3.8[/tex]
So:
[tex]\hat y = 20x +20[/tex]
[tex]\hat y = 20 * 3.8 + 20[/tex]
[tex]\hat y = 96[/tex]
Related Questions
Find all zeros f(x) =x^4-x
Answers
Answer:
0 and 1
Step-by-step explanation:
Answer:x=−4,x=0,x=5
Step-by-step explanation:
take out a common factor of
x
2
f
(
x
)
=
x
2
(
x
2
−
x
−
20
)
the factors of - 20 which sum to - 1 are - 5 and + 4
⇒
f
(
x
)
=
x
2
(
x
−
5
)
(
x
+
4
)
to find zeros set
f
(
x
)
=
0
⇒
x
2
(
x
−
5
)
(
x
+
4
)
=
0
equate each factor to zero and solve for x
x
2
=
0
⇒
x
=
0
with multiplicity 2
x
−
5
=
0
⇒
x
=
5
x
+
4
=
0
⇒
x
=
−
4take out a common factor of
x
2
f
(
x
)
=
x
2
(
x
2
−
x
−
20
)
the factors of - 20 which sum to - 1 are - 5 and + 4
⇒
f
(
x
)
=
x
2
(
x
−
5
)
(
x
+
4
)
to find zeros set
f
(
x
)
=
0
⇒
x
2
(
x
−
5
)
(
x
+
4
)
=
0
equate each factor to zero and solve for x
x
2
=
0
⇒
x
=
0
with multiplicity 2
x
−
5
=
0
⇒
x
=
5
x
+
4
=
0
⇒
x
=
−
4
Look at the triangles shown below.
с
xlam
А
3 D
6
E
Which statement is true?
(x + y)
O Since AAEC ~ ADB according to the side-angle-side similarity postulate, then
2 6
x (x + y)
O Since AAEC ~ AADB according to the side-angle-side similarity postulate, then
2 Z
9 3
O Since AAEC - AADB according to the angle-angle similarity postulate, then
x
6 3
O Since AAEC ~ AADB according to the angle-angle similarity postulate, then
(x + y)
(x + y)
x
Answers
Answer:
I believe it is:
Since △AEC~△ADB according to the angle-angle similarity postulate, then 9(x+y)=3x9(x+y)=3x.
Step-by-step explanation:
what is this question called?
Answers
Answer:
It should be Ratio and Proportions .
Answer:
Step-by-step explanation:
a proportion. Both ratios are the same thing. If you divide 15000 by 30 you get 500
If you divide 210 by 30, you get 7
It is always true that a proportion will have equal equal ratios on either side of the equal sign.
The dot plots below show the distributions of scores on a current events quiz for two classes of 24 students. Write a description of the standard deviation of the scores in each of the classes. Based on the spread of the data, which class performed better on the quiz.
Answers
Answer:
5
Step-by-step explanation:
5
-6x²-11x-4 which equatin is equivalent
Answers
It’s just a guess??
Solve for x: 6x + 1 = -23
Answers
6x=-24
divide both sides by 6
X=-4
Answer:6x=-23 - 1
6x=-24
X=-4
Step-by-step explanation:
14. An engineer is designing a circular base for a
plastic cup holder that will go in a new
car. The base of the cup holder has a
radius of 5 centimeters,
Which measurement is closest to the
circumference of the base in
centimeters?
Answers
Answer:
c=2(3.14)r
r= 5inches
c=2•3.14•5
c=31.4 inches
A teacher wants to determine how to sit 30 students in a classroom.
What simulation can be used determine where the students sit?
A
A coin is used and assigned for every two students.
B
A six-sided number cube and every 6 students are assigned
a side.
С
A random number generator where each student is assigned a number.
D
A standard deck of cards is used and students are assigned to the cards.
Answers
Answer:
I think C. because that will be easier and less chaotic
Which equation has infinitely many solutions?
5(2x + 4) = 10x – 12
5(2x + 4) = 10(x + 2)
5(2x + 4) = 12x
5(2x + 10) = 20(x + 1)
Answers
Answer:
5(2x + 4) = 10(x + 2)
Step-by-step explanation:
answer is 0 so it has infinite solutions
Explanation: Equals 0 because once distributed both equations are equal.
(A method to help you know without having to solve it.)
Hope this helps!
PLZ HELP!!!! solve for x
Answers
Answer:
64 degrees
Step-by-step explanation:
Combining the 90 degrees, x degrees, and 26 degrees creates a flat angle or 180 degrees
so first, combine 90 and 26 degrees
90+26= 116
then subtract 116 from 180
180-116= 64 degrees
Total amount = P (1 + i)t Alisha has a five–year car loan of $15,000 with an interest rate of 6 percent. If the interest is compounded annually, how much will she pay in total for her car?
Answers
Answer:
$20070
Step-by-step explanation:
Given data
Time= 5 years
Principal= $15,000
Rate= 6%
Total amount= P (1 + i)^t
substitute
Total amount= 15000(1 + 0.06)^5
Total amount= 15000 (1.06)^5
Total amount= 15000*1.338
Total amount= $20070
Hence the total amount will be $20070
⅚–⅓ what is the answer to this fraction
Answers
Answer:
5×3-6×1/6×3=15-6/18=9/18=9
Answer:
5/6-1/3
taking LCM
(5-2)/6=3/6=1/2 is your answer
Leo is 13 3 4 years old. Sheila is 1 1 2 years older than Leo and Jane is 1 1 5 years older than Sheila. How old is Jane?
Answers
Answer:
16 9/20 years old
Step-by-step explanation:
Leo is 13 3/ 4 years old.
Step 1
Sheila is 1 1 /2 years older than Leo
Sheila = 13 3/4 years + 1 1/2 years
13 + 1 + ( 3/4 + 1/2)
Lowest common denominator 4
14 + ( 3 + 2/4)
14 + 5/4
= 14 + 1 1/4
= 15 1/4 years old
Jane is 1 1/ 5 years older than Sheila.
Jane's age = 15 1/4 years old + 1 1/5 years
15 + 1 + (1/4 + 1/5)
Lowest common denominator = 20
16 + (5 + 4/20)
16 9/20 years old
Therefore, Jane is 16 9/20 years old
HURRY PLEASE Which function is the inverse of f(x) = -5x – 4?
4
5
F(x) = -**-
o f'(x) =
-3x+
4
-
Of(x) = -4x + 5
og(x) 4x+4
Answers
Answer:
f^-1(x)= -x/5 - 4/5
Step-by-step explanation:
Sophia determined that the expression Negative (4 x minus 5) + 2 (x minus 3) is equivalent to –2x – 5 by using the steps below.
Which explains whether Sophia is correct?
She is correct because the value of the two expressions are the same in Step 3.
She is correct because she substituted opposite values in Step 1.
She is not correct because she did not substitute the same number in both expressions in Step 1.
She is not correct because she did not perform the correct order of operations in Step 3.
Answers
Answer:
3
Step-by-step explanation:
slope intercept form of points (0,4) and (1,3
Answers
Answer:
y = -x+4
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= ( 4-3)/(0-1)
= 1 /-1
= -1
The y intercept is (0,4) or 4
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -x+4
hi im confused with this one question its about properties and exponents on math i really need help:(
Answers
A shop has a slae that offers 20% off all prices On the final day they reduce all the sale prices by 25% Linz buys a radio on the final day Work out the overall percentage reduction on the price of the radio
Answers
Answer:
40%
Step-by-step explanation:
We would use an example
assume the price of the radio is 100
After the initial price reduction, it would be worth (100 - 20%) 80% of the price
0.8 x 100 = 80
After second price reduction it would be worth (100 - 25% ) 75% of the price
0.75 x 80 = 60
Price change = (new price after all the discounts / original price) - 1
(60/100) - 1 = -0.4
PLSSSSSS HELPPPPP ASAPPPP
Answers
Answer:
I believe its C
Step-by-step explanation:
If you take the coordinates of each point then you will realize all of them went 1 unit up and 9 units to the left.
pls help asap no wrong answer pls
Answers
Answer:
answer is in the picture.
Answer:
1/2
Step-by-step explanation:
In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=71°, and RS = 2.5 feet. Find the length of SQ to the nearest tenth of a foot
Answers
Answer:
Answer is in the picture
Answer: 0.9
tan71=
x
2.5
x\tan 71=2.5
xtan71=2.5
\frac{x\tan 71}{\tan 71}=\frac{2.5}{\tan 71}
tan71
xtan71
=
tan71
2.5
x=\frac{2.5}{\tan 71}=0.8608\approx 0.9\text{ feet}
x=
tan71
2.5
=0.8608≈0.9 feet
Calculate the unknown sides and angles of the triangle ABC given.
Given the final answer correct to three significant figures.
C= 25.7° , b= 3.5cm, a = 6cm
Answers
Step-by-step explanation:
to understand thisyou need to know about:law of sinelaw of cosinePEMDASlet's solve:there are 3 ways to solve SAS triangle
use The Law of Cosines to calculate the unknown side,then use The Law of Sines to find the smaller of the other two anglesand then use the three angles add to 180° to find the last angle.first figure out [tex]\angle C [/tex]
to do so we will use the formula of law of cosine of C angle
[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab.\cos(C) [/tex]
substitute the given values of a,b and [tex]\angle C[/tex]
[tex] \sf{c}^{2} = {6 }^{2} + {3.5}^{2} - 2.6.(3.5). \cos( {25.7}^{ \circ} ) [/tex]
simplify squares:
[tex]c^{2}=36+12.25-42.\cos(25.7^{\circ})[/tex]
simplify addition:
[tex]c^{2}=48.25-42.\cos(25.7^{\circ})[/tex]
square root both sides
[tex] \sf \: \sqrt{ {c}^{2} } = \sqrt{ 48.25-42. \cos(25.7^{\circ})}[/tex]
simplify:
therefore
[tex]\bold{c=3.23}[/tex]
use law of sine to figure out angle A
[tex] \dfrac{6}{\sin( \angle \: A) } = \dfrac{3.23}{\sin(25.7)} [/tex]
therefore
[tex]\bold{\angle A=53.66°}[/tex](use calculater to simplify it)
therefore
[tex]\angle B\: is\: 180^{o}-25.70^{o}-53.66^{o}[/tex]
[tex]\bold{= 100.64}[/tex]
can 4x+35 be factored? yes or no
Answers
Answer:
no it is not able to be factored
A recipe requires teaspoon of ground cinnamon, 1 teaspoon of ground
nutmeg, and teaspoon of ground allspice. Kate wants more flavor in her
dish and has added an extra teaspoon of each of the three spices.
Which is the best estimate of the total number of teaspoons of spices in
Kate's dish?
Answers
Answer:
2 teaspoons of cinnamon 2 teaspoons of nutmeg and 2 teaspoons of allspice. which would be 6
Step-by-step explanation:
PLEEEASE HELP I'M STUCK
Which function is shown in the graph below?
y = (one-half) Superscript x + 3 Baseline minus 1
y = (one-half) Superscript x minus 3 Baseline + 1
y = (one-half) Superscript x minus 1 Baseline + 3
y = (one-half) Superscript x + 1 Baseline minus 3
Answers
Answer:
The function would be y = (one-half) Superscript x minus 3 Baseline + 1
I hope this helps!
Answer:
B. y = (1/2) ^ x-3 Baseline + 1
Step-by-step explanation
Please help me solve this algebraic expression
Answers
Answer:
m^3 + 3m, I simplified.
I would appreciate it if someone helped me:)
Answers
Answer:
24 more chocolotae chip cookies are sold
Step-by-step explanation:
CCC 7(15)+6 105+6=111
SC 6(15)-3 90-3 = 87
111-87 = 24
on a garden plan,two tree are 25metres apart .if the plan has a scale of 1:200,how far are they apart on the plan
Answers
A line has a slope of 11 and passes through the point (2,4). PLSSSS HELPPP
Find the equation of the line.
Answers
Answer:
y=11x-18
Step-by-step explanation:
y=11x+b (b is the unknown y-int)
to find the y-int, substitute in (2, 4), and solve for b *substitute in 2 for x and 4 for y*
y=11x+b
4=11(2)+b
4=22+b
b=-18
the equation of the line:
y=11x-18
A tessellation has 2 pairs of congruent angles around the point of intersection. The measure of each of one pair of congruent angles is 28∘. What is the measure of each one of the other pair of congruent angles? The measure of each one of the other pair of congruent angles is
Answers
9514 1404 393
Answer:
152°
Step-by-step explanation:
If two pairs of congruent angles total 360°, then the different angles must total 180°. The other angle measure is 180° -28° = 152°.
The measure of each angle in the other congruent pair is 152°.