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3 years ago

The output of a function is 7 more than 2 times the input. Write and solve an equation to find the input when the output is 15

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

7 0

Answer:

f(x) = 2x + 7

f(15) = 2(15) + 7 = 30 + 7 = 37

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Int he figure below find AC

Ahat [919]

Given :-

Two triangles with their two angles equal .

To Find :-

Measure of AC .

Answer :-

Here in ∆ABC and ∆EDC ,

$\angle$ CAB = $\angle$ CED (given )
$\angle$ CBA = $\angle$ CDE (given)

Therefore by AA similarity criterion , we can say that ∆ABC ~ ∆EDC . Also we know that corresponding sides of similar triangles are proportional . So ,

→ AC/EC = BC/DC

→ AC/9 = 8/12

→ AC = 8/12 * 9

→ AC = 6

Hence the measure of side AC is 6 .

I hope this helps.

7 0

3 years ago

What is the difference? startfraction 2 x 5 over x squared minus 3 x endfraction minus startfraction 3 x 5 over x cubed minus 9

weeeeeb [17]

The difference of the expression $\frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x}$ is $\frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}$

<h3>How to determine the difference?</h3>

The expression is given as:

$\frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x}$

Factor the denominators of the expressions:

$\frac{2x^5}{x(x - 3)} - \frac{3x^5}{x(x^2 - 9)}$

Apply the difference of two squares to x² - 9

$\frac{2x^5}{x(x - 3)} - \frac{3x^5}{x(x - 3)(x + 3)}$

Take LCM

$\frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}$

Hence, the difference of the expression $\frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x}$ is $\frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}$

Read more about expressions at:

brainly.com/question/723406

#SPJ4

6 0

2 years ago

Identify the vertex, the axis of syn

34kurt

Good evening ,

Answer:

Vertex (-4 , 0)

axis x = -4

It’s a parabola.

Min = 0

Step-by-step explanation:

x2 + 8x + 16 = (x + 4)².

3 0

3 years ago

Predict the next three numbers in the pattern.

bekas [8.4K]

The pattern is dividing by 2 every time so the next 3 numbers will be 1/8, 1/16, 1/32

4 0

3 years ago

The two triangles below are similar. Solve for x:

Nataliya [291]

Answer:

Explanation:

given the two triangles are similar

x = 5(27/9)

x = 135/9

x = 15

3 0

3 years ago