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3 years ago

Question 2*

Mathematics

1 answer:

lilavasa [31]3 years ago

3 0

Answer:

The average rate of change between these times is 68 miles per hour

Step-by-step explanation:

Here, we are to determine the average rate of change between hour 2 and hour 7

The distance traveled at hour 2 is 140 miles

The distance traveled at hour 7 is 480 miles

So we can say we have two points and we want to know the rate of change between these points

Mathematically, we can represent the rate of change as Δ

Thus, between the two different times, we have;

Δ = (D7-D2)/(T7-T2)

where (T7,D7) = (7,480) and (T2,D2) = (2,140) represents the time and distance at hour 2 and hour 7 respectively

Now inputing the values into the equation, we have;

Δ = (480-140)/(7-2) = 340/5 = 68 miles/hour

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I don’t really understand what to do on these questions and could you tell me the ratio to solve the rest?

SVEN [57.7K]

Step-by-step explanation:

Assuming 10 cups of lemon-lime soda and 5 cups of orange soda make 15 cups of punch, we can write proportions for each problem.

x / 130 cups punch = 10 cups lemon-lime / 15 cups punch

x = 86.67 cups lemon-lime soda

y / 130 cups punch = 5 cups orange soda / 15 cups punch

y = 43.33 cups orange soda

x / 65 cups punch = 10 cups lemon-lime / 15 cups punch

x = 43.33 cups lemon-lime soda

y / 65 cups punch = 5 cups orange soda / 15 cups punch

y = 21.67 cups orange soda

x / 195 cups punch = 10 cups lemon-lime / 15 cups punch

x = 130 cups lemon-lime soda

y / 195 cups punch = 5 cups orange soda / 15 cups punch

y = 65 cups orange soda

8 0

3 years ago

Alina spent no more than $45 on gas for a road trip. The first gas station she used charged $3.50 per gallon and the second gas

Paraphin [41]

Answer: 3.50x + 4.00y ≤ 45

0 < y < 11.25

<u>Step-by-step explanation:</u>

$3.50x + 4.00y \leq 45\\\\\\\text{Subtract 3.50x from both sides:}\\4.00y\leq -3.50x+45\\\\\\\text{Divide everything by 4.00 (to isolate y):}\\\dfrac{4.00y}{4.00}\leq \dfrac{-3.50x}{4.00}+\dfrac{45}{4.00}\\\\\\y\leq-0.875x+11.25\\\\\\\text{Both x and y must be greater than zero, so:}\\0$

8 0

3 years ago

Read 2 more answers

PLS HELP ILL GIVE BRAINLIEST

inysia [295]

<h3>Answer: 14x - 8</h3>

=======================================================

Explanation:

I'll use the quadratic formula to find the roots or x intercepts. This slight detour allows us to factor without having to use guess-and-check methods.

The equation is of the form ax^2+bx+c = 0

a = 12
b = -11
c = -5

This leads to...

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-11)\pm\sqrt{(-11)^2-4(12)(-5)}}{2(12)}\\\\x = \frac{11\pm\sqrt{361}}{24}\\\\x = \frac{11\pm19}{24}\\\\x = \frac{11+19}{24} \ \text{ or } \ x = \frac{11-19}{24}\\\\x = \frac{30}{24} \ \text{ or } \ x = \frac{-8}{24}\\\\x = \frac{5}{4} \ \text{ or } \ x = -\frac{1}{3}$

Now use those roots to form these steps

$x = \frac{5}{4} \ \text{ or } \ x = -\frac{1}{3}\\\\4x = 5 \ \text{ or } \ 3x = -1\\\\4x - 5 =0 \ \text{ or } \ 3x+1 = 0\\\\(4x-5)(3x+1) = 0$

Refer to the zero product property for more info.

Therefore, the original expression factors fully to (4x-5)(3x+1)

Use the FOIL rule to expand it out and you should get 12x^2-11x-5 again.

----------------------------------------------

We did that factoring so we could find the side lengths of the rectangle.

I'm using the fact that area = length*width

L = length = 4x-5
W = width = 3x+1

The order of length and width doesn't matter.

From here, we can then compute the perimeter of the rectangle

P = 2(L+W)

P = 2(4x-5+3x+1)

P = 2(7x-4)

P = 14x - 8

6 0

2 years ago

The set {3, 5, ?} could not be the sides of a triangle.<br><br> 2<br> 7<br> 3<br> 5

tresset_1 [31]

7 and 2 cannot be the lengths as on a triangle they're two equal side so two 3s or two 5s

6 0

3 years ago

Read 2 more answers

Due 4/29/22. add explanation to please if you can, so that i can understand better

vagabundo [1.1K]

Answer:

240 ÷ 5 = 48

Please Mark Brainliest If This Helped!

8 0

2 years ago