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BlackZzzverrR [31]
4 years ago
5

This is a question for my Calc 1 class at ASU.

Mathematics
1 answer:
Trava [24]4 years ago
7 0

The two pieces are continuous for every c \in \mathbb{R}

So, our only concern is to make sure that the pieces "glue" continuously at x=7.

To ensure this, we evaluate both pieces at x=7, and impose that the two values are equal.

The first piece evaluates to

f_1(7)=7^2-c = 49-c

The second piece evaluates to

f_2(7)=7c+1

So, we want

7c+1=49-c

We move all terms involving c to the left hand side, and all the numerical constants on the right hand side:

8c=48 \iff c=6

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Helpp plz..............
solong [7]

Answer:

Ivory is not correct.

Step-by-step explanation:

Ivory is not correct because of the way the first equation is treated. Ivory thinks 2x+2 can be double of what x+1 is. However, x can be anything, even 0. If we replace x with 0 in 2x+2, that would leave 2x = 0, and adding 2 would equal 2. If we look at x+1, we can add 1 to x and would equal 2. So Ivory is not correct, there is many equations other than this one that can equal.

6 0
3 years ago
Which property justifies this statement?
dalvyx [7]
D. <span>Transitive Property of Equality</span>
8 0
3 years ago
Read 2 more answers
The length of a rectangular poster is 9 more inches than half its width. The area of the poster is 72 square inches. Solve for t
Kipish [7]

The dimensions of the rectangle will be 6 inches and 12 inches.

<h3>What is the area of the rectangle?</h3>

Let L be the length and W be the width of the rectangle.

Then the area of the rectangle will be

Area of the rectangle = L × W square units

The length of a rectangular poster is 9 more inches than half its width.

L = W/2 + 9

The area of the poster is 72 square inches. Then we have

72 = L × W

72 = (W/2 + 9) × W

144 = (W + 18) × W

144 = W² + 18W

W² + 18W - 144 = 0

Then the factor of the equation will be

W² + 18W - 144 = 0

W² + 24W - 6W - 144 = 0

W(W + 24) - 6(W + 24) = 0

(W + 24)(W - 6) = 0

W = -24, 6

The width of the rectangle is 6 inches. Then the length of the rectangle will be

L = 6/2 + 9

L = 3 + 9

L = 12 inches

The dimensions of the rectangle will be 6 inches and 12 inches.

More about the area of the rectangle link is given below.

brainly.com/question/20693059

#SPJ1

4 0
2 years ago
The measure of angle is 5. The equivalent measurement in degrees is... ​
balu736 [363]

Answer:

300 degrees

Step-by-step explanation:

pi should be 180 degrees so 5*180/3 = 5*60=300

6 0
2 years ago
you pay in Albany for a $34 pair of pants? 8) At best buy they have a 42" TV that sells for $1250 and is on sale for 15% and sal
Korolek [52]

Answer:

$1,131.56

Step-by-step explanation:

$1250 x (1-15%) = $1,062.50 Discounted Price

$1,062.50 x 6.5% = $69.06 Sales Tax

$1,062.50 + $69.06 = $1,131.56

7 0
3 years ago
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