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3 years ago

Select the correct translation for the following function: g(x) = f(x + 8)

Mathematics

2 answers:

Blababa [14]3 years ago

8 0

Answer:

This moves f(x) 8 units to the left

Step-by-step explanation:

g(x) = f(x + 8)

y = f(x + C) C > 0 moves it left

This moves f(x) 8 units to the left

Reptile [31]3 years ago

3 0

Answer: gx = fx+8

Step-by-step explanation:

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Solve Highschool Pre cal

Bezzdna [24]

Option C:

$\ln 64 y^{2}$

Solution:

Given expression: 2 ln 8 + 2 ln y

Applying log rule $a \log b=\log b^{a}$ in the above expression.

⇒ $2 \ln 8+2 \ln y=\ln 8^{2}+\ln y^{2}$

Applying log rule $\log a+\log b=\log (a b)$ in the above expression.

⇒ $\ln 8^{2}+\ln y^{2}=\ln \left(8^{2} y^{2}\right)$

We know that $8^{2}=64$

⇒ $\ln \left(8^{2} y^{2}\right)=\ln 64 y^{2}$

Hence, the expression in single natural logarithm is $\ln 64 y^{2}$ .

6 0

3 years ago

The volume of a rectangular prism can be computed by using the formula V=lwh. Which equation is solved for w? A. w=v/lh B. w=lh/

gtnhenbr [62]

The answer to this is a

3 0

3 years ago

A parallelogram has a base of 4.5 cm and an area of 9.495 cm². Tania wrote the equation 4.5x = 9.495 to represent this situation

Artist 52 [7]

Answer:

The height of the parallelogram is 2.11 cm.

Step-by-step explanation:

Area of the parallelogram is equal to multiplication of base and height.

Given:

Parallelogram has base of 4.5 cm.

Are of the parallelogram is 9.495 cm².

Equation is 4.5x=9.495

Calculation:

(a)

Are of the parallelogram is the product of base length and height of the parallelogram.

Area of the parallelogram is expressed as follow:

A=lh

Substitute 9.495 cm² for A and 4.5 cm for l in above equation as follows:

9.495=4.5h …… (1)

Now relate the equation (1) and given equation. So, here x is nothing but the height of the parallelogram.

(b)

From equation (1), height of the parallelogram is calculated as follows:

9.495=4.5h

$h=\frac{9.495}{4.5}$

h=2.11 cm

Thus, the height of the parallelogram is 2.11 cm.

5 0

3 years ago

How is the 2 in the number 582 similar to and different from the 2 in the number 528

Inessa05 [86]

Well, the 2 in 582 is in the ones place and the 2 in528 is in the tens place so

2 and 20
one is 10 times the other
they are both multiples of 2
one is a prime number and the other is a compsite

6 0

3 years ago

Read 2 more answers

the angle of depression is measured from the top of a 43 ft tower to a reference point on the ground. its value is found to be 6

Dafna1 [17]

An angle of depression is the angle of a slant to the upper horizontal line. The official definition is: <span>the </span>angle<span> formed by the line of sight and the horizontal plane for an object below the horizontal.

Thus, for this problem, we must use trigonometry. The tower is perpendicular to the upper horizontal and the ground, so after we draw a line connecting the points we get 90 - 63 = 27, which is one of the angles in the right triangle.

The other angles are ninety and 63. We wish to find the measure of the bottom of the triangle, so we use tangent which includes both legs.

Therefore, tan(27)=x/43. Plugging this into a calculator, we get roughly 21.9.

Hope this helped! It probably sounds a lot harder than it actually is without a picture.</span>

5 0

3 years ago