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3 years ago

Solve the equation below:

Mathematics

2 answers:

Agata [3.3K]3 years ago

6 0

$\sqrt[3]{x^2-8}=2 \\ x^2-8=2^3=8 \\ x^2=16 \\ \\ \boxed{x=4 \ or \ -4}$

vagabundo [1.1K]3 years ago

3 0

Both x=4 and x=-4 satisfy the given equation. So, the correct answer is (c).

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A triangle has a perimeter of 91 centimeters. Each of the two longer sides of the triangle is three times as long as the shortes

Mkey [24]

9514 1404 393

Answer:

13 cm, 39 cm, 39 cm

Step-by-step explanation:

If x is the short side, then the other two sides are 3x and 3x. The perimeter is the sum of side lengths:

x +3x +3x = 91

x = 91/7 = 13

3x = 3(13) = 39

The length of the short side is 13 cm; the other two sides are 39 cm.

4 0

2 years ago

Answer for brainlist and extra points ☀️

tia_tia [17]

Answer:x+2y-12=0

Step-by-step explanation:

3x+6y=36

-36. -36

3x+6y-36=0

Divide by 3 to get

X+2x-12=0

8 0

3 years ago

Joe's annual income has been increasing each year by the same dollar amount. The first year his income was $17 comma 90017,900

Vedmedyk [2.9K]

Answer:

In 17th year, his income was $30,700.

Step-by-step explanation:

It is given that the income has been increasing each year by the same dollar amount. It means it is linear function.

Income in first year = $17,900

Income in 4th year = $20,300

Let y be the income at x year.

It means the line passes through the point (1,17900) and (4,20300).

If a line passes through two points $(x_1,y_1)$ and $(x_2,y_2)$ , then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The equation of line is

$y-17900=\frac{20300-17900}{4-1}(x-1)$

$y-17900=\frac{2400}{3}(x-1)$

$y-17900=800(x-1)$

$y-17900=800x-800$

Add 17900 on both sides.

$y=800x-800+17900$

$y=800x+17100$

The income equation is y=800x+17100.

Substitute y=30,700 in the above equation.

$30700=800x+17100$

Subtract 17100 from both sides.

$30700-17100=800x$

$13600=800x$

Divide both sides by 800.

$\frac{13600}{800}=x$

$17=x$

Therefore, in 17th year his income was $30,700.

5 0

3 years ago

Given f(x)=4x^2-9 and g(x)=2x+3 find each function or value<br> (f-g)(4)

yulyashka [42]

(f-g)(x) = 4x²-2x-12 which,evaluated at x=4, gives 64-8-12=44

4 0

4 years ago

SOMEONE PLEASE HELP ASAPP I NEED HELP

fenix001 [56]

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A diagonal connects a vertex to another vertex without being a side of the polygon. There are 14 vertices in a 14-gon. This leaves 13 vertices left to connect to (since we cannot connect the vertex to itself). However, two of these vertices will form the sides of the 14-gon. This leaves us with 11 possible diagonals we can draw.

6 0

1 year ago

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