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3 years ago

9

Which of the following represents the range if the function g(x) below? G(x) = 5(x - 2) ^ 2 - 7

1 answer:

Savatey [412]3 years ago

3 0

Answer:

[-7,∞)

Step-by-step explanation:

This function is a parabola that has a positive coefficient, so the parabola will open upwards (or make a smile if you want to call it that). The vertex is located at (2,-7) because of the vertex equation, so you know that the y values are greater than or equal to -7.

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Find the next term for the given sequence.52, 45, 38, 31

valkas [14]

The answer is 24. To get to each term, we can see that the value is decreasing by 7. So 31 - 7 = 24

4 0

3 years ago

Find the area of the regular polygon

olasank [31]

$area = 44.0467 \: cm {}^{2}$

<h3>step by step explanation </h3>

● area of regular polygon Formulas ,

⟹ $a = \frac{l^{2}n}{4tan(\frac{\pi }{n)}}$

● now finding the area of regular polygon,

⟹ $\frac{4 {}^{2} \times 8 }{ 4 \: tan \: \binom{180}{5} }$

⟹ $a = \frac{128}{4 \times 0.7265}$

⟹ $a = 44.0467 \: cm {}^{2}$

Hope it's helps you

4 0

3 years ago

A boat traveled 336 miles downstream and back. The trip downstream took 12 hours. The trip upstream took 14 hours. What is the s

Alexeev081 [22]

x - boat speed; y - current speed; Path = 336:2 = 168 miles

1) 12 * (x + y) = 168; -> x + y = 14;

2) 14 * (x - y) = 168; -> x - y = 12;

1) x = 14 - y;

2) (14 - y) - y = 12;

14 - 2y = 12;

2y = 2;

y = 1 mph

x = 14 - 1 = 13 mph

Answer:

Boat speed = 13 mph

Current speed = 1 mph

3 0

3 years ago

A viewfinder has a triangular lens. Some of the measurement of the length are shown below. Which of the following best represent

S_A_V [24]

Answer:

A

Step-by-step explanation:

First, we need to find the unknown angle of the triangle.

40 + 20 = 60

180 - 60 = 120

So the unknown angle is 120.

Then, we can use the law of sines to create a proportion.

sin(120)/8 = sin(40)/a

Then, we can simplify this.

a is about 5.9, or answer choice A.

5 0

3 years ago

Are these lines parallel explain?

nata0808 [166]

Answer: Yes

Step-by-step explanation: hope it helps

6 0

2 years ago

Read 2 more answers