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3 years ago

6

1. The table shows values of a function . What is the average rate of change of over the interval from x = 5 to x = 10? Show you

r work.

1 answer:

Rom4ik [11]3 years ago

8 0

Answer:

increases by 1 each time

Step-by-step explanation:

3, 4, 5

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(Algebra II) The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the triangl

qwelly [4]

A) 22.5 cm, 30 cm, and 37.5 cm

Divide 90 by 12 and multiply by three to check if any triplet has the answer in it. In this case only A

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4 years ago

Please help! Will give brainliest!

const2013 [10]

<h3>1.</h3>

The equation in point-slope form: y - y₁ = m(x - x₁)

slope: m = -2

point: (4, -5) ⇒ x₁ = 4, y₁ = -5

Therefore, the equation of the line in point-slope form:

<h3>y + 5 = -2(x - 4)</h3>

<h3>2.</h3>

The equation in slope-intercept form: y = mx + b

Parallel lines has the same slope, so:

y = 4x + 2 ⇒ a = 4

If a line passes through the point <em>(x₁, y₁) </em>then the equation y<em>₁</em> = mx<em>₁</em> + b is true.

(4, 6) ⇒ x₁ = 4, y₁ = 6

So: 6 = 4·4 + b ⇒ b = -10

Therefore the equation:

<h3>y = 4x - 10</h3>

<h3>3.</h3>

a = 3

(-1, 1) ⇒ x₁ = -1, y₁ = 1

So: 1 = 3·(-1) + b ⇒ b = 4

The equation:

<h3>y = 3x + 4</h3>

<h3>4. </h3>

The product of slopes of perpendicular lines is -1.

2x - 7y = 1 ⇒ 7y = -2x + 1 ⇒ y = -²/₇x + ¹/₇

-²/₇×m = -1 ⇒ m = ⁷/₂

(0, -4) ⇒ x₁ = 0, y₁ = -4

-4 = ⁷/₂·0 + b ⇒ b = -4

The equation:

<h3>y = ⁷/₂x - 4</h3>

8 0

3 years ago

SOLVE y = 3x – 2 x – y = 4 BY USING SUBSTITUTION!! SHOW ALL WORK! HELPPP!

Setler79 [48]

Answer:

(-1,-5)

Step-by-step explanation:

So we have the system:

y=3x-2

x-y=4.

We are asked to use substitution. Luckily, it is already setup for this because one of the equations has one of the variables solved for, namely the y=3x-2 equation. We are going to insert y=3x-2 into x-y=4 and solve for x.

x-y=4 (with y=(3x-2) ):

x-(3x-2)=4

Distribute:

x-3x+2=4

Combine like terms:

-2x+2=4

Subtract 2 on both sides:

-2x =2

Divide both sides by -2:

x =-1

Now if y=3x-2 and x=-1, then y=3(-1)-2=-3-2=-5.

So the solution is (-1,-5).

3 0

3 years ago

Amplitude and range of the function<br>f(x)=(x-2)³+2?

givi [52]

Answer:Here's the answer,I couldn't find too much details but here's what I found

7 0

3 years ago

BlackZzzverrR [31]

Answer:

Question 1)

Cristina is traveling 11 miles per hour and Kori is traveling 20 miles per hour.

Question 2)

Four hours.

Question 3)

Paige spent two hours biking and six hours walking.

Step-by-step explanation:

Question 1)

Let Cristina's speed be <em>x</em>.

Kori travels 9 miles per hour faster than Cristina. So, Kori's speed is (<em>x</em> + 9).

After six hours, Cristina would have traveled 6<em>x</em> miles and Kori would have traveled 6(<em>x</em> + 9) miles.

Since Kori traveled in the opposite direction, we can place a negative to represent this. So, after six hours, Kori is -6(<em>x</em> + 9) miles away from the restaurant while Cristina is 6<em>x</em> miles away from the restaurant.

Since the distance between them is 186 miles, the difference of the two expressions is 186. Hence:

$(6x)-(-6(x+9))=186$

Distribute:

$6x-(-6x-54)=186$

Distribute:

$6x+6x+54=186$

Simplify:

$12x=132$

Hence:

$x=11$

Cristina's speed is 11 miles per hour. Thus, Kori's speed is 20 miles per hour.

Question 2)

Let <em>h</em> represent the amount of time that has passed in hours.

Carrie left the restaurant traveling 12 miles per hour.

Four hours later, Leah left traveling in the same direction at 24 miles per hour.

After four hours, Carrie would have traveled 12(4) = 48 miles.

Carrie would still be traveling at 12 miles per hour. So, her distance from the restaurant is given by:

$12h+48$

Since Leah just left and is traveling at a rate of 24 miles per hour, her distance from the restaurant is given by:

$24h$

Leah will catch up when the two expressions are equivalent. Hence:

$12h+48=24h$

Solve for <em>h: </em>

<em /> $12h=48\Rightarrow h=4$ <em />

Leah will catch up with Carrie in four hours.

Question 3)

Let <em>x</em> represent the amount of hours spent biking and <em>y</em> represent the amount of hours spent walking.

The total trip to the mall took eight hours. Hence:

$x+y=8$

The mall is a total of 46 miles away. Since Paige bikes at a rate of 8 miles per hour and walks at a rate of five miles per hour:

$8x+5y=46$

Solve the system. We can use elimination. Multiply the first equation by -5:

$-5x-5y=-40$

We can add this to the second equation:

$3x=6$

Hence:

$x=2$

Using the first equation again:

$(2)+y=8\Rightarrow y=6$

So, Paige spent two hours biking and six hours walking.

4 0

3 years ago