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3 years ago

12

Factor -1/4 out of -1/2-5/4y

1 answer:

In-s [12.5K]3 years ago

3 0

When we factor out something, we divide the factor by the equation. For example if we were to factor 3 out of 6, It will be 3(2). We got this answer by dividing 3 and 6. Using this concept:

$\frac{-1}{4}[( \frac{-1}{2} / \frac{-1}{4}) - ( \frac{5}{4} y / \frac{-1}{4})]$

Simplifying:

$\frac{-1}{4}(2 + 5y)$

Hope this helps!

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If a toy rocket is launched vertically upward from ground level with an initial velocity of 120 feet per second, then its height

german

Answer:

$Time = 7.5\ seconds$

Step-by-step explanation:

Given

$Equation:\ h(t) = -16t^2 + 120t$

$Initial\ Velocity = 160ft/s$

Required:

Determine the time taken to return to the ground

From the equation given; height (h) is a function of time (t)

When the rocket returns to the ground level, h(t) = 0

Substitute 0 for h(t) in the given equation

$h(t) = -16t^2 + 120t$

becomes

$0 = -16t^2 + 120t$

Solve for t in the above equation

$-16t^2 + 120t = 0$

Factorize the above expression

$-4t(4t - 30) = 0$

Split the expression to 2

$-4t = 0\ or\ 4t - 30 = 0$

Solving the first expression

$-4t = 0$

Divide both sides by -4

$\frac{-4t}{-4} = \frac{0}{-4}$

$t = \frac{0}{-4}$

$t =0$

Solving the second expression

$4t - 30 = 0$

Add 30 to both sides

$4t - 30+30 = 0+30$

$4t = 30$

Divide both sides by 4

$\frac{4t}{4} = \frac{30}{4}$

$t = \frac{30}{4}$

$t = 7.5$

Hence, the values of t are:

$t =0$ and $t = 7.5$

$t =0$ shows the time before the launching the rocket

while

$t = 7.5$ shows the time after the rocket returns to the floor

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3 years ago

4.) A concert charges $24.50 per daily adult ticket and $13.75 per child's ticket. A group of 90 people paid $1560.00 for ticket

riadik2000 [5.3K]

Do 25y + 65x= the answer

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3 years ago

Which table contains only values that satisfy the equation y = -x +7?

a_sh-v [17]

Answer:

the question you typed is wrong but that on the picture is correct and the correct table which satisfied the equation y =1/4x + 7 is table C

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2 years ago

Is this survey biased? why our why not?

Leviafan [203]

It is biased because they surveyed people who were at a park, therefore they enjoy parks and would want more in the area

5 0

3 years ago

Read 2 more answers

general admission tickets to the fair cost $3.50 per person rides pass cost an additional $5 and fifty per person parking cost $

horrorfan [7]

Total people x,

then, 3.5x + 5.5x + 6 = 51

simplify, 9x +6 = 51

subtract 6 on both sides, 9x= 45

divide by 9 on both sides, x= 5

therefore, total 5 people in the family.

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3 years ago