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Anna11 [10]
3 years ago
5

PLEASE HELP!

Mathematics
1 answer:
____ [38]3 years ago
7 0
<h3>Answer:</h3>
  • A. x = -2
  • B. (-2, -3), (-3, -1)
  • C. x = 0
<h3>Step-by-step explanation:</h3>

Part A. The solution is represented by the point at which the graphs intersect: (-2, -3). The x-value that makes p(x) = f(x) is x = -2.

___

Part B. The point found in Part A is one solution to f(x). The graph shows the line has a slope of -2, so another point will be 1 to the left and 2 up: (-3, -1). So, two solutions are ...

... (-2, -3) and (-3, -1)

___

Part C. The graphs of p(x) and g(x) intersect at the point (0, 2). This means

... p(0) = g(0) = 2

So, x = 0 is the solution to the equation p(x) = g(x).

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onah’s sister is 10 years old. Jonah is 8 years younger than twice his sister’s age. Write an expression for Jonah’s age.
Serga [27]

Answer:

Step-by-step explanation:

Jonah sister is 10 years old. Jonah is 8 years younger than twice hos sister age

j = 2s - 8

this is the equation.

You can solve it by substituting in 10 for s, because sister is 10 years old.

5 0
2 years ago
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When creating a scatterplot, if the points are too close together to see the relationship, how could you adjust your graph?
Radda [10]
The correct answer for this question is this one: "B. increase your scale values"

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Hope this helps answer your question and have a nice day ahead.
5 0
3 years ago
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A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of t
Makovka662 [10]

Answer:

132.233 ft2

Step-by-step explanation:

Let's call the width of the rectangle 'w' and the length 'x'. So the area of the semicircle is:

A_1 = \pi*radius^2/2

A_1 = \pi*(w/2)^2/2

A_1 = \pi/8*w^2

And the area of the rectangle is:

A_2 = w*x

If the perimeter of the window is 41 feet, we have:

Perimeter = length + 2*width + \pi*radius

41 = x + 2*w + \pi*w/2

x = 41 - w(2 + \pi/2)

Now, the equation for the total area of the window is:

A = A_1 + A_2 = \pi/8*w^2 + w*x

A = \pi/8*w^2 + w*(41 - w(2 + \pi/2))

A = (\pi/8-2 - \pi/2)*w^2 + 41w = -3.1781w^2 + 41w

To find the maximum area, we can find the x-coordinate of the vertex of the quadratic equation:

x\_vertex = -b / 2a = -41 / (-3.1781*2) = 6.45

So the width that gives us the maximum area of the window is 6.45 feet, and the area will be:

A = -3.1781w^2 + 41w = -3.1781*(6.45)^2 + 41*6.45 = 132.233\ ft^2

3 0
3 years ago
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Leokris [45]

<u>Picture 1:</u>

To figure this out, notice the pattern happening on x. It's simply counting to four, so the first blank is 1 and the next is 2.

The y coordinates seem to be going up by 9. 27 plus 9 is 36, so the answer to the fourth box is 36.

Another way to see how this is correct is to notice that the x is multiplying by 9 to get y. It works out as you look at it and plug it in!

<u>Picture 2:</u>

Yes, this is a proportional relationship. Since Dennis is adding 3 logs every hour, it is keeping a consistent pattern.

<u>Picture 3:</u>

If Jane is driving 60 miles per hour, the first hour she would've gone 60 miles. After a second hour, she would've gone 120 miles. Multiply 60 to your x coordinates to figure this out. You should get 60, 120, 180, and 240 for each box.

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3 years ago
A rectangle has coordinates A(-4,3). B(0,0), C(6,8) and D(2,11)
Andre45 [30]

Answer:

what is the question

Step-by-step explanation:

3 0
3 years ago
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