3 years ago

Which equation has a solution of x = -17

Mathematics

1 answer:

Agata [3.3K]3 years ago

8 0

Answer is (d) -4x = 68

Solving it we get :

-4x = 68

x = -68/4 = -17

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Use the quadratic formula to solve the equation.<br><br> 4x^2−10x+5=0

finlep [7]

Quadratic formula:

$x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}$

What do we have:

a=4

b=-10

c=5

Substitude:

$x=\frac{10±\sqrt{b^{2}-4(4)(5)}}{2(a)}$

Solve:

$x=\frac{10±\sqrt{(-10)^{2}-4(4)(5)}}{2(4)}\\\\x=\frac{10±\sqrt{100-4(20)}}{8}\\\\x=\frac{10±\sqrt{100-4(20)}}{8}\\\\x=\frac{10±\sqrt{100-80}}{8}\\\\x=\frac{10±\sqrt{20}}{8}\\\\x=\frac{10±2\sqrt{5 }}{8}\\\\x=\frac{2(±5\sqrt{5) }}{2(4)}$

Cancel the common terms:

$x=\frac{5±\sqrt{5} }{4}$

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3 years ago

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Y = x/3 because I searched it up

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Find the ratio of the perimeter of the first figure to the perimeter of the second.

ololo11 [35]

Answer:

2:1

Step-by-step explanation:

The perimeter of the first is twice as large as the 2nd

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The graph shows the 2005 median income of some year-round workers and the number of years of school. Estimate the median income

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Answer:20??

Step-by-step explanation:

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3 years ago

A player shoots a basketball from a height of 6 feet. The equation, h = -16t^2 + 25t + 6, gives the height, h , of the basketbal

noname [10]

Answer:

$\boxed {\boxed {\sf 7.5 \ feet}}$

Step-by-step explanation:

We are given this function for the height (h) after t seconds:

$h=-16t^2+25t+6$

Seconds is t and we want to find the height after 1.5 seconds. Plug 1.5 in for t.

$h= -16(1.5)^2+25(1.5)+6$

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Solve the exponent first.

(1.5)²= 1.5*1.5=2.25

$h= -16(2.25)+25(1.5)+6$

Multiply.

$h= -36+25(1.5)+6$

$h= -36+37.5+6$

Add.

$h=1.5+6=7.5$

This is already rounded to the nearest tenth, so it is the answer.

After 1.5 seconds, the basketball is at a height of 7.5 feet.

6 0

3 years ago