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3 years ago

8x + 4 = 3 ( x - 1 ) + 7 : solve

Mathematics

2 answers:

VMariaS [17]3 years ago

4 0

Answer:

x=0

Step-by-step explanation:

8x + 4 = 3 ( x - 1 ) + 7

Distribute

8x +4 = 3x-3 +7

Combine like terms

8x+4 = 3x +4

Subtract 4 from each side

8x = 3x

Subtract 3x from each side

5x =0

x=0

Reil [10]3 years ago

3 0

Answer:

$\boxed{x=0}$

Step-by-step explanation:

$8x+4=3(x-1)+7$

Expand brackets.

$8x+4=3x-3+7$

$8x+4=3x+4$

Subtract both sides by 4.

$8x=3x$

Subtract 3x on both sides.

$8x-3x=0$

$5x=0$

Divide both sides by 5.

$x=0$

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Write the converse form of: If an angle measures 180 degrees, then it is a straight angle.

Flura [38]

Answer:

yes tht is correct 180 degrees is a straight line

Step-by-step explanation:

3 0

3 years ago

A company has to buy computers and printers. Each computer, x, costs $585 and each printer, y, costs $385. If the company spends

Luden [163]

The company bought 9 computers and 6 printers

Solution:

Let "x" be the number of computers bought

Let "y" be the number of printers bought

cost of 1 computer = $ 585

cost of 1 printer = $ 385

The company buys a total of 15 machines

Therefore, we can frame a equation as:

number of computers bought + number of printers bought = 15

x + y = 15 ------ eqn 1

The company spends $7,575

Therefore, we can frame a equation as:

number of computers bought x cost of 1 computer + number of printers bought x cost of 1 printer = 7575

$x \times 585 + y \times 385 = 7575$

585x + 385y = 7575 ------ eqn 1

Let us solve eqn 1 and eqn 2

From eqn 1,

x = 15 - y --------- eqn 3

Substitute eqn 3 in eqn 2

585(15 - y) + 385y = 7575

8775 - 585y + 385y = 7575

-200y = 7575 - 8775

-200y = -1200

y = 6

Substitute y = 6 in eqn 3

x = 15 - 6

x = 9

Thus the company bought 9 computers and 6 printers

6 0

3 years ago

What is the inverse of the function y=3x+4

almond37 [142]

$f^{-1} (x)=- \frac{4}{3} + \frac{x}{3}$

6 0

3 years ago

A farmer estimates that he has 9,000 bees producing honey on his farm. The farmer becomes concerned when he realizes the populat

djverab [1.8K]

Answer:

The function f(x) = 9,000(0.95)^x represents the situation.
After 2 years, the farmer can estimate that there will be about 8,120 bees remaining.
The range values, in the context of the situation, are limited to whole number

Step-by-step explanation:

The "growth" rate is -5%, so the growth factor, the base in the exponential equation, is 1.00-5% =0.95.

Using x=2, we find the population in 2 years is expected to be about ...

f(2) = 9000·0.95^2 ≈ 8123 . . . . about 8120

Using x=4, we find the population in 4 years is expected to be about ...

f(4) = 9000·0.95^4 ≈ 7331 . . . . about 7330

Since population is whole numbers of bees, the range of the function is limited to whole numbers.

The domain of the function is numbers of years. Years can be divided into fractions as small as you want, so the domain is not limited to whole numbers.

The choices listed above are applicable to the situation described.

7 0

3 years ago

You and your friends decide to go to the movies. Each movie, m, costs $10. If each movie costs $10. What is the total cost for a

alexira [117]

Answer:

6x10=60

Step-by-step explanation

each person is giving $10 to see a movie, you multiple it

4 0

3 years ago