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Alekssandra [29.7K]
1 year ago
6

What is the x-coordinate of the vertex of the parabola whose equation is y = 3x² + 9x?

Mathematics
1 answer:
saveliy_v [14]1 year ago
3 0

Answer: -3/2

Step-by-step explanation:

The axis of symmetry, and thus the x-coordinate of the vertex, is given by x=-\frac{b}{2a}

So, the answer is x=-\frac{9}{2(3)}=\boxed{-\frac{3}{2}}

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Given that QT is and altitude of triangle QRS and that m
iris [78.8K]

Hello from MrBillDoesMath!

Answer:

15

Discussion:

Given: measure angle STQ = 7x + 55.  But, as shown, STQ is a right angle so

7x + 55 = 90          => subtract 55 from each side

7x = 90 -55 = 35   => divide each side by 7

x = 35/7 = 5

Since RS = (x+1)    + (2x-1)  where x = 5.

     RS = (5 + 1) + (2*5 -1)

           = 6         + 9

           = 15

I don't know what choice the answer is as your diagram only shows Choice A

Thank you,

MrB

3 0
3 years ago
Read 2 more answers
Write an expression for the sequence of operations described below.
emmasim [6.3K]

Answer:

8x10+m

Step-by-step explanation:

because of PEMDAS you multiply the 8x10 1st then add the product to m

6 0
3 years ago
A car traveled 385 miles in 7 hours.It traveled the same number of miles each hour.If the car continues at the same number of mi
Crazy boy [7]

Answer:

880

Step-by-step explanation:

385/7=55x16=880

3 0
3 years ago
Read 2 more answers
Suppose that the last dollar that Victoria receives as income brings her a marginal utility of 10 utils while the last dollar th
GaryK [48]

Answer: A

Suppose that the last dollar that Victoria receives as income

brings her a marginal utility of 10 utils while the last dollar that

Fredrick receives as income brings him a marginal utility of

15 utils. If our goal is to maximize the combined total utility of

Victoria and Fredrick, we should

a. Redistribute income from Victoria to Frederick

b. Redistribute income from Fredrick to Victoria

c. Not engage in any redistribution because the current situation already maximizes total utility

d. None of the above

Step-by-step explanation:

Marginal utility is the added satisfaction derived from consuming an additional unit of a good or service. In the above question, Fredrick derives more satisfaction from his last dollar than Victoria, and will therefore achieve a higher marginal utility with additional income than Victoria does with her current income. If we want to maximize the combined utility, we should redistribute income from Victoria to Fredrick.

The logic behind this is the diminishing marginal utility. The first unit of a good consumed gives the highest level of satisfaction, marginal utility reduces with additional units consumed.  In the same way, when we spend our income, we purchase the things that give us the maximum satisfaction first.

.

6 0
2 years ago
Sam borrows from the bank $12,000 to buy a car paying in simple interest $ 2,844 per year. Sam paid the loan in 3 years, what is
12345 [234]

Answer:

3,468

Step-by-step explanation:

i multiplied 2,844 by 3 and got 8,532 i then subtracted that from 12,000 and got 3,468

5 0
3 years ago
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