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3 years ago

Find (g*f)(3) f(x)=|x+2| g(x)=-x² A -25 B 1 C 4 D -15

Mathematics

1 answer:

gogolik [260]3 years ago

7 0

Answer:

Step-by-step explanation:

(gof)(3) = g(f(3) )

but : f(3) = |3+2| = 5

(gof)(3) = g(f(3) ) = g(5) = -(5)² = -25...answer ; A) -25

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What is the product of 2.4 ⋅ 103 and 1.5 ⋅ 103?

Alenkinab [10]

1) 2.4 · 103 = 247.2

2) 1.5 · 103 = 154.5

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3 years ago

If a certain cannon is fired from a height of 8.8 meters above the ground, at a certain angle, the height of the cannonball ab

Dennis_Churaev [7]

Answer:

It would take approximately 6.50 second for the cannonball to strike the ground.

Step-by-step explanation:

Consider the provided function.

$h(t)=-4.9t^2+30.5t+8.8$

We need to find the time takes for the cannonball to strike the ground.

Substitute h(t) = 0 in above function.

$-4.9t^2+30.5t+8.8=0$

Multiply both sides by 10.

$-49t^2+305t+88=0$

For a quadratic equation of the form $ax^2+bx+c=0$ the solutions are: $x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Substitute a = -49, b = 305 and c=88

$t=\frac{-305+\sqrt{305^2-4\left(-49\right)88}}{2\left(-49\right)}=-\frac{-305+\sqrt{110273}}{98}\\t = \frac{-305-\sqrt{305^2-4\left(-49\right)88}}{2\left(-49\right)}= \frac{305+\sqrt{110273}}{98}$

Ignore the negative value of t as time can't be a negative number.

Thus,

$t=\frac{305+\sqrt{110273}}{98}\approx6.50$

Hence, it would take approximately 6.50 second for the cannonball to strike the ground.

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3 years ago

Whoever answers first gets brainliest

777dan777 [17]

Answer:

Step-by-step explanation:

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3 years ago

What is the scale factor of the dilation?

dusya [7]

Answer:

$\dfrac{1}{2}$

Step-by-step explanation:

It is given that triangle ACB is the preimage and triangle DFE is the image.

We need to find the scale factor of the dilation.

$\text{Scale factor}=\dfrac{\text{Side of image}}{\text{Corresponding side of preimage}}$

In the given triangles, side AC and DF are corresponding sides.

$\text{Scale factor}=\dfrac{DF}{AC}$

$\text{Scale factor}=\dfrac{6}{12}$

$\text{Scale factor}=\dfrac{1}{2}$

Therefore, the scale factor of the dilation is $\dfrac{1}{2}$ .

6 0

3 years ago

ALGEBRA determine the angle measure in the polygon.a. 30°, 150°, 30°, 150°b. 30°,30°,30°,30°c. 45°,225°,45°,255°D. 15°,75°,15°,7

Veseljchak [2.6K]

We know that consecutive angles in a parallelogram are supplementary, as they are consecutive interior angles between parallel lines.

Then, if we add the measure of x° and the measure of 5x° we get 180°. Then, we can write this expression and solve for x:

$\begin{gathered} x+5x=180 \\ 6x=180 \\ x=\frac{180}{6} \\ x=30 \end{gathered}$

Then, the angle x has a measure of 30° and the angle 5x has a measure of 5*30=150°.

Answer: a. 30°, 150°, 30°, 150°

7 0

2 years ago