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2 years ago

The sum of three times the square of a number and -7

Mathematics

1 answer:

Ganezh [65]2 years ago

3 0

Answer:

3x² - 7

Step-by-step explanation:

3 times (number squared) and sum with (-7)

3 times x² and add (-7)

3x² + (-7)

3x² - 7

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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

lyudmila [28]

Answer:

$-\frac{21}{2}$

Step-by-step explanation:

We can solve this system just by summing each side of the equation:

So, both left sides will be sum, and both right sides too.

The resulting expression will be:

$(3-y)+(3-y) = 6+21$

Ordering and solving both sides:

$6-2y=27\\-2y=27-6\\y=\frac{21}{-2}$

Hence, the value to the system is $-\frac{21}{2}$

It's important to combine both equation, because the exercise is asking for the solution of the system.

8 0

3 years ago

The Fosters bought a car in 2003 for $38,799. In 2012 they decided they wanted to sell the car. If the value of the car is decre

SashulF [63]

$38799 \times 0.85^{9}$
$8,986.51

6 0

2 years ago

e. Translate the word problem below into an equation; then solve. It only takes Vera 2 hours to sew 1 dress, but it takes Ivy 4

Daniel [21]

Using the together rate, it is found that it would take them 16 hours to sew 12 dresses.

<h3>What is the together rate?</h3>

The together rate is the <u>sum of each separate rate</u>.

In this problem, we have that:

Vera's rate is of 1/2.

Ivy's rate is of 1/4.

Hence, the together rate is the time it would take them to produce one dress working together, and is given by:

$\frac{1}{x} = \frac{1}{2} + \frac{1}{4}$

$\frac{1}{x} = \frac{2 + 1}{4}$

$3x = 4$

$x = \frac{4}{3}$

Then one dress takes $\frac{4}{3}$ of an hour, and the time for twelve dresses is:

$t = 12 \times \frac{4}{3} = 4(4) = 16$

It would take them 16 hours to sew 12 dresses.

To learn more about the together rate, you can take a look at brainly.com/question/25159431

6 0

2 years ago

The weight in pounds of a baby in the first six months of life can be modeled by the

gavmur [86]

Answer:

14.5

Step-by-step explanation:

You would plug 5 into the equation for m and have w = 1.5 (5) + 7

Then you would multiply 1.5 and 5 and get 7.5 and then add 7 and get 14.5

6 0

3 years ago

Calls from a call box are charged per minute at one rate for the five minutes, then a different rate for each additional minute.

nirvana33 [79]

Answer:

c. $0.75 per minute at one rate for the first 5 minutes and $0.25 per minute thereafter

Step-by-step explanation:

The last 5 minutes of the 12-minute call cost ...

$5.50 -4.25 = $1.25

so the per-minute rate at that time is ...

$1.25/(5 min) = $0.25/min . . . . . . . . matches choice C only

You know the answer at this point, but if you want to check the rate for the first 5 minutes, you can subtract 2 minutes from the 7-minute call to find that ...

The first 5 minutes cost $4.25 - 2·0.25 = $3.75, so are charged at ...

$3.75/(5 min) = $0.75/min . . . . . . . matches choice C

5 0

2 years ago