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3 years ago

Factor the trinomial: -2x²-16x-24

Mathematics

1 answer:

Liula [17]3 years ago

8 0

$-2x^2-16x-24

$
<u /> $-2x^2-12x-4x-24$
$-2x(x+6)-4(x+6)$
$(-2x-4)(x+6)$
-2(x+2)(x+6)

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How does the graph of g(x)=x+4 compares with the graph of the parent function, f(x)=x?

irakobra [83]

The graph of g(x) is shifted 4 units up ⇒ answer a

Step-by-step explanation:

Let us revise the translation

If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k

∵ The parent function f(x) = x

∵ g (x) = x + 4

- Substitute x in g(x) by f(x)

∴ g(x) = f(x) + 4

- g(x) is f(x) add by 4

- by using the rule of translation above

∵ g(x) = f(x) + k

∵ k = 4

∴ g(x) is the image of f(x) after translation 4 units up

∴ The graph of g(x) is 4 units above the graph of f(x)

The graph of g(x) is shifted 4 units up

Learn more:

You can learn more about translation in brainly.com/question/2451812

#LearnwithBrainly

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3 years ago

What digits can be in the ones place of a number that has five as a factor?

choli [55]

There can be 0s and 5s

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3 years ago

Can somebody pls answer these three questions pls!!!!ASAP

Y_Kistochka [10]

Answer:

1) x=1

2) x=6

3) x=3

Step-by-step explanation:

i just did them :) good luck

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3 years ago

Lostsunrise [7]

Using the law of sines, it is found that the distance between the kite and the dog is of 284.77 meters.

<h3>What is the law of sines?</h3>

Suppose we have a triangle in which:

The length of the side opposite to angle A is a.

The length of the side opposite to angle B is b.

The length of the side opposite to angle C is c.

The lengths and the sine of the angles are related as follows:

$\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}$

For the situation described, we have that:

The height is opposite to the angle of 42º.

The 425 meters are opposite to the angle of 87º.

Hence:

$\frac{\sin{42^\circ}}{h} = \frac{\sin{87^\circ}}{425}$

Applying cross multiplication:

$h = 425\frac{\sin{42^\circ}}{\sin{87^\circ}}$

h = 284.77 meters.

More can be learned about the law of sines at brainly.com/question/25535771

#SPJ1

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2 years ago

4. Tests are performed to determine the Tool Life of a high speed steel single edge cutting tool. At a cutting speeds (v) of 180

podryga [215]

Answer:(a) n=0.233

Step-by-step explanation:

Given

We Know according to Taylor tool life

$VT^n=c$

V=cutting speed

T=tool life

n=tool life exponent

c=constant

$180\times \left ( 4.25\right )^n=110\times \left ( 35\right )^n$

$\frac{180}{110}=\left ( \frac{35}{4.25}\right )^n$

$1.636=\left ( 8.235\right )^n$

taking log both side

$\ln \left ( 1.636\right )=n\ln \left ( 8.235\right )$

n=0.233

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3 years ago