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taurus [48]
3 years ago
11

Which system of equations can be used to solve for the point of intersection of the lines on the graph? A) y = x - 7; y = 2x + 2

B) y = 2x + 7; y = 2x - 2 C) y = 2x + 7; y = 2x + 2 D) y = 2x - 7; y = 2x + 2

Mathematics
1 answer:
ratelena [41]3 years ago
4 0

Answer:

C) y = 2x + 7; y = 2x + 2

Step-by-step explanation:

The two lines are parallel and so will have the same slope.

From the graph, the slope of both lines are two.

Using slope intercept formula, y=mx+c, with m=2, we have y=2x+c

The blue line has a y-intercept of 2 so the equation is

y = 2x + 2

The red line has a y-intercept of -7 so the equation is

y = 2x - 7

Hence the system is

y=2x+2

y=2x-7

The correct answer is C

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What is the value of the function at x=−2?
kogti [31]

So for this problem, the x-axis is the horizontal line in the center.

Go to where -2 is on the x-axis as shown. Use your finger to trace along since that's usually helpful in finding the point.

Move your finger from -2 on the x-axis to where the solid black line is. On the right side of that, you can see that the y-axis holds the number 2 which is what the y equals for this solid line.

Therefore, the answer should be c.) y = 2

8 0
3 years ago
a stack of cards is placed next to a ruler, and the height of stack measured to be 3/4inches. how thick is one card
4vir4ik [10]

Total thickness of the stack of cards = 3/4 inch or 0.75 inch

In a full stack of cards, there are 52 cards.

Hence, the thickness of 52 cards = 0.75 inch.

To find the thickness of one card, we divide the total thickness with the total number of cards.

Thickness of one card = \frac{0.75}{52} = 0.014423 inch

1 inch = 2.54 cm

0.014423 inch is approximately equal to 0.34 cm.

Answer = 0.34 cm

7 0
3 years ago
The number of entrees purchased in a single order at a Noodles & Company restaurant has had an historical average of 1.35 en
trasher [3.6K]

Answer:

a) 0.3571

b) The p-value is 0.362007.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 1.35

Sample mean, \bar{x} = 1.4

Sample size, n = 26

Alpha, α = 0.01

Sample standard deviation, s = 0.7

First, we design the null and the alternate hypothesis

H_{0}: \mu = 1.35\text{ entrees per order}\\H_A: \mu > 1.35\text{ entrees per order}

We use One-tailed t test to perform this hypothesis.

a) Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n-1}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{1.4 - 1.35}{\frac{0.7}{\sqrt{25}} } = 0.3571

b) The p-value at t-statistic 0.3571 and degree of freedom 25 is 0.362007.

4 0
3 years ago
ANSWER PLZ QUICK AND FAST
kotykmax [81]

Hi!

The answer is C. It is a numerical expression because it contains only numbers and operation symbols.

4 0
3 years ago
Find the slope of a line parallel to the line that crosses ( 3 , − 2 ) and the y -intercept is ( 0 , − 3 ) . I finally figured o
mamaluj [8]

Answer:

y = 1/3x - 3

Step-by-step explanation:

We can find the equation of the line, by finding the slope and combine with our y-intercept (-3).

We need to use the slope formula to find the slope.

Thus, we have (-3 - (-2)) / 0 - 3 = -1/-3 = 1/3

So our equation is y = -1/3x - 3

8 0
1 year ago
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