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3 years ago

A driver wants to gauge the fuel efficiency of

Mathematics

2 answers:

WITCHER [35]3 years ago

6 0

Answer: Y = -2X + 105

Step-by-step explanation: let speed = x and mpg = y

Using linear equation

Y = MX +c

M = dy/dt = (15 - 25)/( 40 - 45) =

-10/5 = -2

When y = 15 , x = 45

15 = -2(45) + c

15 = -90 + c

C = 105

The model linear equation will be

Y = -2X + 105

makkiz [27]3 years ago

6 0

Answer:

m = -2s + 105 for s > 30

Step-by-step explanation:

To get the gas mileage (m) as a function of average speed (s) mph. If m is for the fuel efficiency and s is for the average speed, it can be represented by the equation of a straight line.

(s₁, m₁) = (40, 25) and (s₂, m₂) = (45, 15)

The equation is given by:

$\frac{m-m_1}{s-s_1} =\frac{m_2-m_1}{s_2-s_1}$

Substituting values:

$\frac{m-25}{s-40} =\frac{15-25}{45-40}$

$\frac{m-25}{s-40} =-2$

$m-25 =-2(s-40)\\m-25=-2s+80\\m = -2s+105$

m = -2s + 105 for s > 30

m is in mpg and s is in mph

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quadrilateral ABCD is dilated by a scale factor of 2 centered around (2,2). Which statement is true about the dilation?

Setler [38]

Answer:

The vertices of the image will have the coordinates

A(-5, 1) → A'(2x-2, 2y-2) → A'(-12, 0)

B(-4, 3) → B'(2x-2, 2y-2) → B'(-10, 4)

C(1, 2) → C'(2x-2, 2y-2) → C'(0, 2)

D(-3, 0) → D'(2x-2, 2y-2) → D'(-8, -2)

Step-by-step explanation:

<em>Note: You missed to mention the vertices of a quadrilateral ABCD. So, I am assuming the following vertices. It would anyways clear your concept.</em>

<em />

Let us suppose

A(-5, 1)

B(-4, 3)

C(1, 2)

D(-3, 0)

We know that the rule of the dilation with the center of dilation at (2,2) by a scale factor of 2 is:

(x, y) → (2x-2, 2y-2)

Therefore, the vertices of the image will have the coordinates

A(-5, 1) → A'(2x-2, 2y-2) → A'(-12, 0)

B(-4, 3) → B'(2x-2, 2y-2) → B'(-10, 4)

C(1, 2) → C'(2x-2, 2y-2) → C'(0, 2)

D(-3, 0) → D'(2x-2, 2y-2) → D'(-8, -2)

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2 years ago

Will give brainliest to good answer

kakasveta [241]

Here are some notes i have from some sources i hope these notes will be able to help you achieve the grade you wanted to good luck!

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These notes are from sources found online not mine If you want the sites just comment and ill give you them!

8 0

3 years ago

Simplify the rational expression. State any restrictions on the variable.

ExtremeBDS [4]

we are given

$\frac{(n^4-10n^2+24)}{(n^4-9n^2+18)}$

Firstly, we will factor numerators and denominators

$\frac{(n^4-10n^2+24)}{(n^4-9n^2+18)}=\frac{(n^2-6)(n^2-4)}{(n^2-3)(n^2-6)}$

we can see that

n^2 -6 is factor on both numerator and denominator

so, it will get cancelled

and n^2 -6 can not be equal to 0

so, one of restriction is

$n^2-6\neq 0$

$n\neq -+ \sqrt{6}$

we can simplify it

$\frac{(n^4-10n^2+24)}{(n^4-9n^2+18)}=\frac{(n^2-4)}{(n^2-3)}$

we know that denominator can not be zero

$n^2-3\neq 0$

$n\neq -+ \sqrt{3}$

so, option-B.......Answer

3 0

3 years ago

Jill has to go to the post office before she drops her 3 children off at the elementary school. She is going straight home after

Fantom [35]

Answer:

D i think

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

An art studio charges a start-up fee to cover art supplies, plus an additional fee per class. The graph shows the total cost for

Studentka2010 [4]

Answer/Step-by-step explanation:

✔️The rate of change can be calculated using the coordinates of any two points on the graph. Let's use (2, 60) and (3, 75):

$rate of change = \frac{y_2 - y_1}{x_2 - x_1} = \frac{75 - 60}{1} = \frac{15}{1} = 15$

Rate of change (m) = 15

✅In the context of this situation, the rate of change can be interpreted to be the additional fee per class. Thus, an additional fee per class cost $15.

✔️Initial value is the same as the y-intercept.

To find the y-intercept (b), substitute m = 15, x = 2, and y = 60 into y = mx + b.

Thus:

60 = 15(2) + b

60 = 30 + b

60 - 30 = b

30 = b

b = 30

The initial value/y-intercept = $30

✅In this context, $30 is the start-up fee to cover art supplies.

5 0

2 years ago