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3 years ago

What is the x intercept in the equation y equals 2x + 10 -10 0-55

Mathematics

1 answer:

Bingel [31]3 years ago

5 0

x intercept = -5

C or #3 will be your answer

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Suppose the population of a town is 127,000 in 2014. The population increases at a rate of 5.2 percent every year. What will the

Dmitry [639]

Answer:

172,146

Step-by-step explanation:

you can use the exponential growth formula and get y=127000(1.052)^6. after that, you can just solve (make sure you use PEMDAS) and get 172,146.

8 0

3 years ago

Amelia launched her science fair rocket, and then backed away. The path of the rocket is given by the equation below, where y is

Mamont248 [21]

Answer:

1)The rocket hit the ground at $x = \frac{5}{4}$

2)The maximum height of the rocket = 12.468 feet

Step-by-step explanation:

Step(i):-

Given equation

y = -2 x² + 5 x + 7 ...(i)

Differentiating equation (i) with respective to 'x' , we get

$\frac{dy}{dx} = -2( 2x) +5(1) = -4x +5$

Equating zero

$\frac{dy}{dx} = 0$

⇒ -4 x +5 =0

⇒ -4 x = -5

⇒ $x = \frac{5}{4}$

The rocket hit the ground at $x = \frac{5}{4}$

Step(ii):-

$\frac{dy}{dx} = -4x +5$ ...(ii)

Again differentiating equation (ii) with respective to 'x' , we get

$\frac{d^{2} y}{dx^{2} } = - 4(1)$

The maximum height at x = $\frac{-5}{4}$

y = -2 x² + 5 x + 7

$y = -2 (\frac{5}{4})^{2} + 5 (\frac{5}{4} ) + 7$

$y = \frac{-2(25)+ 25 (16)+7(64)}{64}$

$y = \frac{798}{64} = 12.468 feet$

The maximum height of the rocket = 12.468 feet

4 0

3 years ago

Micheal has saved 27 quarters from washing cars. How many cents does Michael have?

igomit [66]

Micheal has saved 27 quarters from washing cars. Micheal has 675 cents

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4 years ago

Read 2 more answers

Darpana solved the equation s = StartFraction a + b + c Over 3 EndFraction for a. Her steps are shown below: 1. Multiply by 3: s

Harman [31]

Answer:

Option (c) is correct.

Step-by-step explanation:

Given equation is :

$s=\dfrac{a+b+c}{3}$

The equation can be solved for a as follows :

Step 1.

Cross multiply the given equation

$3s=a+b+c$

Step 2.

Now subtract b on both sides

3s-b = a+b+c-b

3s-b = a+c

Step 3.

Subtract c on both sides

3s-b-c=a+c-c

⇒ a=3s-b-c

The statement that is true for Darpana is " In step 3, she needed to subtract c rather than divide".

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3 years ago

Read 2 more answers

12 POINTS PLEASE HELP

Elina [12.6K]

Answer: Supplementary angles have a sum of 180 degrees so you would subtract 79 from 180 to determine the value of its supplement which would be 101 degrees

While complementary angles have a sum of 80 degrees. So you would subtract 59 from 80 and that leaves you with 21, so the complement angle is equal to 21 degrees

Step-by-step explanation:

8 0

4 years ago

What is the x intercept in the equation y equals 2x + 10 -10 0-55 ​

What is the x intercept in the equation y equals 2x + 10 -10 0-55