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3 years ago

2. Find f(2) for the function below. f(x) = 1/8•5^x

Mathematics

1 answer:

SOVA2 [1]3 years ago

6 0

Answer:

f(2) = $\frac{25}{8}$

Step-by-step explanation:

To evaluate f(2) substitute x = 2 into f(x) , that is

f(2) = $\frac{1}{8}$ × 5² = $\frac{1}{8}$ × 25 = $\frac{25}{8}$

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Shtirlitz [24]

<h3><u>Explanation</u></h3>

Given Inequality

$12 - 13x \geqslant 38$

Solve the Inequality for x-term by making x as the subject.

Solving Inequality is almost the same as solving the equation.

$- 13x \geqslant 38 - 12 \\ - 13x \geqslant 26$

The problem is here. Some people might forget that when we move the negative coefficient to another side, we have to flip/swap or change the sign to opposite. That means we have to change from >= to <=

$x \leqslant \frac{26}{ - 13} \\ x \leqslant - 2$

Answer Check by substituting x = -2 in the Inequality.

$12 - 13( - 2) \geqslant 38 \\ 12 + 26 \geqslant 38 \\ 38 \geqslant 38$

The Inequality is true for x = -2 and that means it is also true when x is lesser than - 2.

Substitute x = -3

$12 - 13( - 3) \geqslant 38 \\ 12 + 39 \geqslant 38 \\ 51 \geqslant 38$

Notice that if we substitute the number that are lesser or equal to -2, the Inequality will be true.

<h3><u>Answer</u></h3>

<u> $\large \boxed{x \leqslant - 2}$ </u>

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3 years ago

3. Trapezoid JKLM is shown on the coordinate plane below.

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3 years ago

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3 years ago

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Solve for x; x: 6 = 54: 162 A. 1 B. 2 C. 3 D. 4<br>find x

Gemiola [76]

Answer:

x = 2

Step-by-step explanation:

x:6 = 54:162

What is 54 to 162?

162/54 = 3.

So x times 3 should equal 6.

6/3 = 2.

x = 2

Let's confirm,

2:6 = 54:162

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2 years ago

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