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2 years ago

Given that g(x)=3x - 12, what is the value of x when g(x)=-27?

Mathematics

2 answers:

anyanavicka [17]2 years ago

5 0

Answer:-93

Step-by-step explanation:

g(x)=3x-12

g(x)=3(-27)-12 - Substitute

g(x)=-81-12 - Multipy

g(x)= -93 - Add

Lorico [155]2 years ago

4 0

Answer:

x = -5

Step-by-step explanation:

If g(x)= 3x - 12, and g(x)= -27 then -27 = 3x -12

Solve for x

-27 = 3x -12, add 12 to both sides

-27+12 = 3x, add -27+12

-15 = 3x, divide both sides by 3

-5 = x

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A spinner is divided into 8 section of equal size. The sections are numbered 1 through 8. Use this information to determine the

olga_2 [115]

1) 1/8

2) 1/2

Step-by-step explanation:

First of all, we notice that the spinner is divided into 8 sections of equal size.

So the number of sections is

n = 8

Secondly, we note that each section has the same size: this means that the probability of the spinner landing on each section is the same.

The probabilty of a certain event A to occur is given by

$p(A)=\frac{a}{n}$

where

a is the number of successfull outcomes (in which A occurs)

n is the total number of possible outcomes

Here we want to find

$p(7)$ = probability that the spinner lands on section 7

Here we have:

$a=1$ (only 1 outcome is successfull: the one in which the spinner lands on section 7)

$n=8$

Therefore, the probability is

$p(7)=\frac{1}{8}$

Here we want to find the probability that the spinner lands on an even numbered section.

As before, the total number of possible outcomes his:

$n=8$

which corresponds to: 1, 2, 3, 4, 5, 6, 7, 8

The even-numbered sections are:

2, 4, 6, 8

So, the number of successfull outcomes is

$a=4$

Because there are only 4 even-numbered sections.

Therefore, the probability that the spinner lands on an even numbered section is:

$p(e)=\frac{a}{n}=\frac{4}{8}=\frac{1}{2}$

8 0

2 years ago

Farmer Smith enclosed his rectangular pasture with fence that cost him $1.50 per linear meter. If his pasture is twice as long a

maria [59]

Answer:

$2,700

Step-by-step explanation:

Let the width of the pasture be x, this means that the length of the pasture will be 2x

The area of a rectangle is L * B

Hence,

x * 2x = 18,000

2x^2 = 180,000

x^2 = 90000

x = 300 meters

This means the length is 600 metres

Now, to get the length of the fence, we need to know the actual perimeter which is 2(L + B)

= 2 ( 300 + 600)

2 * 900 = 1,800 metres

The cost is thus 1,800 * $1.50 = $2,700

6 0

2 years ago

You pay $228.50 in taxes at a rate of 10.25% to buy a new TV. How much did the tv cost original? Round your number to the hundre

Allisa [31]

Answer:

$2229.27

Step-by-step explanation:

tax rate: 10.25%

tax amount: $228.50

price before tax: x

10.25% of x = $228.50

0.1025x = 228.5

x = 228.5/0.1025

x = 2229.27

Answer: $2229.27

5 0

2 years ago

Which figure accurately represents the Pythagorean theorem?

Elena-2011 [213]

Figure B is the answer!

The formula for the Pythagorean theorem is

A^2+B^2=C^2

In figure B the units are squared. Making it your answer.

-Seth

8 0

3 years ago

If x and (19x+30) are the measures of complementary angles, what is the measure of each angle?

Alisiya [41]

Answer:

3° and 87°

Step-by-step explanation:

here's your solution

=>  we know that measure of complementary angle is 90°

=>. one angle is. = x

=> other angle is .= (19x + 30)

=> so, x + 19x + 30° = 90°

=> 20x + 30° = 90°

=> 20x = 60°

=> x = 60/20

=> x = 3°

hence one angle is 3° and other is 87°

hope it helps

7 0

3 years ago