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3 years ago

Please help asap 20 pts

Mathematics

1 answer:

makkiz [27]3 years ago

3 0

Answer:

Step-by-step explanation:

For it to be parallel, the lines must have the same slope. So A and C are out. Basic math reveals that if you plug in (1, 8) for (x, y) you find B to be true.

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PLEASE ANSWER! Given the functions f(x) = x2 + 6x - 1, g(x) = -x2 + 2, and h(x) = 2x2 - 4x + 3, rank them from least to greatest

Ratling [72]

Answer:

he rank from least to great based on their axis of symmetry:

0, 1, -3 ⇒ g(x), h(x), f(x)

So, option C is correct.

Step-by-step explanation:

A quadratic equation is given by:

$ax^2+bx+c =0$

Here, a, b and c are termed as coefficients and x being the variable.

Axis of symmetry can be obtained using the formula

$x = \frac{-b}{2a}$

Identification of a, b and c in f(x), g(x) and h(x) can be obtained as follows:

$f(x) = x^2 + 6x - 1$

⇒ a = 1, b = 6 and c = -1

$g(x) = -x^2 + 2$

⇒ a = -1, b = 0 and c = 2

$h(x) = 2^2 - 4x + 3$

⇒ a = 2, b = -4 and c = 3

So, axis of symmetry in $f(x) = x^2 + 6x - 1$ will be:

$x = \frac{-b}{2a}$

x = -6/2(1) = -3

and axis of symmetry in $g(x) = -x^2 + 2$ will be:

$x = \frac{-b}{2a}$

x = -(0)/2(-1) = 0

and axis of symmetry in $h(x) = 2^2 - 4x + 3$ will be:

$x = \frac{-b}{2a}$

x = -(-4)/2(2) = 1

So, the rank from least to great based on their axis of symmetry:

0, 1, -3 ⇒ g(x), h(x), f(x)

So, option C is correct.

Keywords: axis of symmetry, functions

Learn more about axis of symmetry from brainly.com/question/11800108

#learnwithBrainly

7 0

3 years ago

Find the 62nd term of the arithmetic sequence -27, -21, -15, ...

kaheart [24]

Answer:

a = -27

d = -21 - ( -27) => 6

a62 => a + 61 (d) +=> -27 + 61(6)

=> -27 + 366

=> 339

5 0

3 years ago

I need to know how to find the value of x

anzhelika [568]

x = 15°

The angle of a straight line is 180°.

37 + 9x + 8 = 180
9x + 45 = 180
9x = 135
x = 15°

8 0

4 years ago

Please help asap. Thank you!

oksian1 [2.3K]

Answer:

8^3.

Step-by-step explanation:

= [ (6^3)^6*1/2] / [9^9]^1/2

= 6^9 / 9^9/2

= 6^9 / (3^2)^9/2

= 6^9 /3^9

= 512

= 8^3.

5 0

3 years ago

In most acceptance sampling plans, when a lot is rejected, the entire lot is inspected and all defective items are replaced. Whe

photoshop1234 [79]

Answer:

When using this technique, the AOQ:

improves (AOQ becomes a smaller fraction).

Step-by-step explanation:

AOQ simply means Average Outgoing Quality, which improves with inspection. It is a part of an organization's Acceptance Sampling Plan, usually designed to meet product quality and risk level targets. The plan draws samples from a population of items. Then it tests the samples. It only accepts the entire population if the sample is considered good enough. It also rejects the population when the sample is poor enough. In the plan, information about sample size and critical acceptance or rejection numbers are clearly indicated. Acceptance sampling is common in most business environments because it has been found to be more economical than doing 100% inspection of incoming production input and output.

4 0

3 years ago