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Feliz [49]
3 years ago
6

Find the indicated limit, if it exists. ​

Mathematics
1 answer:
lakkis [162]3 years ago
3 0

Answer:

6

Step-by-step explanation:

As x approaches -10 from the left, f(x) approaches -4 + 10 = 6

As x approaches -10 from the right, f(x) approaches -10 + 16 = 6

f(-10) = 6

Putting that all together, we have a limit of 6

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Write the coordinate of the intercept
Basile [38]

Answer:

m = 2/3

y-intercept: 2

Explanation:

First convert this equation into standard form by distributing the 6y and -4x from the coefficient of 2, and then putting the variables in order.

This equation should be in the form: Ax + By = C (Standard form)

y = -Ax/B + C/B : y = mx + b (Slope intercept form)

2(6y - 4x) = 24 → 12y - 8x = 24

→ -8x + 12y = 24 → -8x = -12y + 24 → 8x = 12y - 24 → <em>8x - 12y = -24</em>

<u>8</u>x <u>- 12</u>y = <u>-24</u>

| | |

A B C

Once you have standard form, you are ready to convert this into slope intercept by isolating the y completely.

8x - 12y = -24

-8x -8x

(First through the subtraction property of equality, remove 8x from both sides so that -12y is by itself on the left)

-12y = -8x - 24

×-1 ×-1 ×-1

(Through the identity property of negative 1, remove the negative sign from all of the numbers because a negative times a negative is a positive)

12y = 8x + 24

(Lastly, through the division property of equality, divide all sides by 12 because it is the coefficient of y, which will solve for the variable)

8 0
3 years ago
19. The areas of corresponding faces of two similar hexagonal prisms are 25 cm² and 121 cm². What is the ratios of the correspon
Pie

ANSWER

I) 5:11

ii) 5:11

iii) 125:1331

EXPLANATION

Let the side lengths be in the ratio:

x:y

This implies that the area will be in the ratio:

\frac{ {x}^{2} }{ {y}^{2} }  =  \frac{25}{121}

Take positive square root.

\frac{x}{y}  =  \sqrt{ \frac{25}{121} }

\frac{x}{y}  =  \frac{5}{11}

Hence the sides are in the ratio:

x:y=5:11

The perimeter of the smaller hexagon is 6×5=30

The perimeter of the larger hexagon is 6×11=66

The ratio of the perimeter is

30:66=5:11

The volume will be in the ratio

5³:11³

125:1331

6 0
3 years ago
A paper company needs to ship paper to a large printing business. The paper will be
Karo-lina-s [1.5K]

Answer:

16 boxes large

Step-by-step explanation:

if the weigth is 1280 wilhich means its 1280÷80 =16

3 0
3 years ago
12 is what percent of 96
AysviL [449]
12.5
12=96x/100
x=(100*12)/96
x=1200/96
x=12.5
5 0
3 years ago
Write a polynomial with 5 terms in standard form.
Jobisdone [24]

Answer:

You'll need to post the polynomial itself. The degree will be the highest exponent, the leading coefficient will be the number in front of the variable of the term with the highest exponent, then count the number of terms separated by + and - signs.

Step-by-step explanation:

4 0
3 years ago
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