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3 years ago

What is f(−3) for the function f(a)=−2a2−5a+4?

Mathematics

1 answer:

andriy [413]3 years ago

4 0

Answer:

i believe the answer is 1

Step-by-step explanation:

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Solve the equations for all values of x by completing the square x^2+62=-16x

lorasvet [3.4K]

Answer:

$x = \sqrt{2} - 8\\x = -\sqrt{2} - 8$

Step-by-step explanation:

To complete the square, we first have to get our equation into $ax^2 + bx = c$ form.

First we add 16x to both sides:

$x^2 + 16x + 62 = 0$

And now we subtract 62 from both sides.

$x^2 + 16x = -62$

We now have to add $(\frac{b}{2})^2$ to both sides of the equation. b is 16, so this value becomes $(16\div2)^2 = 8^2 = 64$ .

$x^2 + 16x + 64 = -62+64$

We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because $8\cdot8=64$ and $8+8=16$ .

$(x+8)^2 = -62 + 64$

We can now take the square root of both sides.

$x+8 = \sqrt{-62+64}\\\\ x+8 = \pm \sqrt{2}$

We can now isolate x on one side by subtracting 8 from both sides.

$x = \pm\sqrt{2} - 8$

So our solutions are

$x = \sqrt{2} - 8\\x = -\sqrt{2} - 8$

Hope this helped!

4 0

3 years ago

you are running a fuel economy study. One of the cars you find is blue. It can travel 31 1/2 miles on 1 1/4 gallons of gasoline.

SIZIF [17.4K]

Answer:

Step-by-step explanation:

Blue Car: (31 1/2 miles)/(1 1/4 gallons)

(63/2) miles / (5/4) gallons

(63/2)*(4/5) = 25.2 miles/gallon.

Red Car: (27 1/5 miles)/(4/5 gallon)

= 34 miles/gallon.

The Red Car will travel the furthest.

7 0

3 years ago

A painter leans a 13ft ladder against a house. The base of the ladder is 5ft from the house. How high on the house does the ladd

lakkis [162]

Answer:

13,92838827718412‬ft

Step-by-step explanation:

a² + b² = c²

a = 13ft

b = 5ft

169 + 25 = 194

c = √194

c = 13,92838827718412‬ft

6 0

4 years ago

What is 2+2*56*89/5+69

Natalija [7]

Answer:

2064.6 is the answer

Step-by-step explanation:

3 0

3 years ago

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Hey do y’all know Micah gray?

Vikki [24]

Answer:

the warehouse leader at the legacy of cabinet company?

Step-by-step explanation:

6 0

2 years ago