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2 years ago

For the function below, give the ordered pair if x = 2 f(x)=-3(x+2)2+9

Mathematics

1 answer:

Kay [80]2 years ago

8 0

Answer:

(2, -39)

Step-by-step explanation:

f(x)=-3(x+2)^2+9

f(2)=-3(2+2)^2+9

f(2)=-3(4)^2+9

f(2)=-3(4)(4)+9

f(2)=-3(16)+9

f(2)=-48+9

f(2)=-39

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Two trains arrived at a station at 2:55 P.M., with one arriving on Track A, and the other arriving on Track B. Trains arrive on

My name is Ann [436]

Answer:

B) 5:19 P.M.

Step-by-step explanation:

Given that two trains arrived at a station at 2:55 P.M., with one arriving on Track A, and the other arriving on Track B. Trains arrive on Track A every 16 minutes, and they arrive on Track B every 18 minutes.

Now we need to find about at what time will trains next arrive at the same time on both tracks.

Then next time trains arrive at the same time on both tracks. can be found by taking least common multiple of 16 and 18 minutes.

Multiples of 16 and 18 are

16 32 48 64 80 96 112 128 144 160

18 36 54 72 90 108 126 144 162 180

Least common multiple of both is 144

Hence both trains will arrive at the same time after 144 minutes

or at (2:55 PM+144 minutes)

= (2 hours 55 min)+(144 min) PM

= (2 hours 55 min)+(2 hours 24 min) PM

= 5 hours 19 minutes

Hence correct choice is B) 5:19 P.M.

7 0

3 years ago

V150<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B150%20%7D%20%20%5C%5C%20" id="TexFormula1" title=" \sqrt{150 } \\ " alt=

Anuta_ua [19.1K]

Answer: 12.2474487139

Step-by-step explanation:

(I think what you wrote is just the square root of 150? if I read this wrong please let me know so I can correct my answer.)

*If you plug in the square root of 150 into a calculator, you get 12.2474487139

6 0

3 years ago

Use the long division method to find the result when x^3+7x^2+12x+6x 3 +7x 2 +12x+6 is divided by x+1x+1. If there is a remainde

Aliun [14]

Answer:

By long division (x³ + 7·x² + 12·x + 6) ÷ (x + 1) gives the expression;

$x^2 + 5 \cdot x + 7 - \dfrac{1}{(x + 1)}$

Step-by-step explanation:

The polynomial that is to be divided by long division is x³ + 7·x² + 12·x + 6

The polynomial that divides the given polynomial is x + 1

Therefore, we have;

$\ \ \ \ \ \ \ \ \ \ \ \ x^2 + 5\cdot x + 7\\ (x + 1) \sqrt{x^3 + 7\cdot x^2 +12\cdot x + 6} \\\ {} \ {} \ {} \ \ {} \ {} \ {} \ {} \ {} \ {} \ {} \ \ x^3 + 2 \cdot x^2 \\\ \ \ \ {} \ \ {} \ {} \ {} \ \ {} \ {} \ \ \ {} \ {} \ {} \ \ {} \ {} \ {} \ \ 5 \cdot x^2 + 12\cdot x + 6\\ \ {} \ {} \ {} \ {} \ {} \ {} \ \ {} \ {} 5 \cdot x^2 + 5\cdot x\\\ 7\cdot x+6\\7\cdot x+7\\-1$

(x³ + 7·x² + 12·x + 6) ÷ (x + 1) = x² + 5·x + 7 Remainder -1

Expressing the result in the form $q(x) + \dfrac{r(x)}{b(x)}$ , we have;

$(x^3 + 7\cdot x^2 + 12 \cdot x + 6)\div (x + 1) = x^2 + 5 \cdot x + 7 - \dfrac{1}{(x + 1)}$

4 0

2 years ago

-x+4y=5 find an ordered pair that is a solution to the equation

Vikki [24]

Answer:

There can be more than one ordered pair that can be a solution:

- (0, 5/4)

- (1, 3/2)

- (2, 7/4)

Hope this helps ;)

3 0

3 years ago

Mr. Klimek made his wife a rectangular vegetable garden. The width is 5 3/4 ft, and the length is 9 4/5 ft. What is the area of

pav-90 [236]

Answer: 56 7/20 ft²

Step-by-step explanation: Let's transform the width and the lenght in improper fractions:

w = 5 3/4 ft, = 4*5+3/4 = 23/4 ft

l = 9 4/5 ft = 5*9+4/5 = 49/5 ft

Area = w * l

A = 23/4 * 49/5 = 1127/20 ft²

1127/20 ⇒ 56 7/20 ft²

4 0

2 years ago