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3 years ago

The equation y = 2x + 1 is changed to y = 2x - 1. How does this change the graph of the line?

2 answers:

7 0

Y = 2x + 1
y = 2x - 1

so the 1st one has a y int of 1 and the second one has a y int of -1...so the original line will shift down 2 units

Mademuasel [1]3 years ago

7 0

Answer:

D) The original line will shift down 2 units.

Step-by-step explanation:

The rate of changes [slopes] remain the same [2], so all you need to do is figure out how much far $\displaystyle [0, 1]$ is from $\displaystyle [0, -1],$ and that would be two units:

$\displaystyle -1 + 2 = 1$

I am joyous to assist you anytime.

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Gemiola [76]

Answer:

X = 13

Step-by-step explanation:

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2 years ago

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The sum of two numbers is 21. The larger number is 6 less than twice the smaller number. Find the two numbers.

Vesnalui [34]

Hey there! :D

21= 2x-6+x

21=3x-6

27=3x

x=9

The smaller number is 9.

The larger number is:

9*2= 18 18-6= 12

The larger number is 12.

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3 years ago

Is this correct please explain

uysha [10]

Answer:

79°

Step-by-step explanation:

since this figure goes around completely, the sum would be 360°

1 and 3 are equal, so you would multiply 101 by 2

101 × 2 = 202

subtract 202 from 360

360 - 202 = 158

4 and 2 are equal, so divide 158 by 2

158 ÷ 2 = 79

so angle 4 = 79°

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2 years ago

A.) f(x)=3x^2-18x+27.

Alona [7]

A)
Vertex:(3,0)
x-intercepts: (3,0)
y-intercepts: (0,27)

B)
Vertex:(0,-9)
x-intercepts:none
y-intercepts: (0,-9)

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3 years ago

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An instructor who taught two sections of engineering statistics last term, the first with 20 students and the second with 30, de

Lelechka [254]

Answer:

(a) $P(X=10) = 0.2070$

(b) $P(X\geq 10) = 0.3798$

Step-by-step explanation:

Note that in this problem we have an initial population N = 50, of which 30 fulfill a certain characteristic "m" (belong to the second section). Then, from the population N, a sample of size n = 15 is selected and it is desired to know how many comply with the desired characteristic (second section).

Let X be the number of projects in the second section, then X is a discrete random variable that can be modeled by a hypergeometric distribution.

(a)

Therefore, to answer question (a) we use the following equation presented in the attached image:

Where:

$N = 50\\m = 30\\n = 15\\X = 10$