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2 years ago

16. Hamster Heaven charges an annual fee of $20 plus $2.50 for each day of hamster

Mathematics

1 answer:

Ludmilka [50]2 years ago

8 0

Answer:

hamster heaven

y=20+2.5x

hamster fun world

y=35+x

Step-by-step explanation:

by solving we get

x=10

y=45

by comparing the graph hamster fun world 8s cheaper on the long run

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Find the equation of the line that passes through the following two points: (3, -7) and (7, 2)

Wittaler [7]

Answer:

$y=\frac{9}{4}x-\frac{55}{4}$

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: $\frac{y2-y1}{x2-x1}$

Given points: (3, -7), (7, 2)

(3, -7) = (x1, y1)

(7, 2) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:

$\frac{2-(-7)}{7-3}$

Simplify:

2 - (-7) = 2 + 7 = 9

7 - 3 = 4

$\frac{9}{4}$

The slope is $\frac{9}{4}$ .

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (7, 2)) into the equation and solve for b:

$2=\frac{9}{4}(7)+b$

$2=\frac{63}{4}+b$

$-\frac{55}{4} =b$

The y-intercept is $-\frac{55}{4}$ .

Now that we know the slope and the y-intercept, we can write the equation:

$y=\frac{9}{4}x-\frac{55}{4}$

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3 years ago

Evaluate 2^−4/4^0. Write your answer as a fraction in simplest form.<br> Can you help me pls?

tia_tia [17]

Answer:

1/16 or 0.0625

Step-by-step explanation:

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2 years ago

X squared plus 8 squared equals 9<br> What is X?

BabaBlast [244]

Answer:

x = $i\sqrt{55} , -i\sqrt{55}$

Step-by-step explanation:

x^2 + 8^2 = 9

Simplify the 8^2

x^2 + 64 = 9

Subtract 64 from both sides

x^2 = -55

Take the square root from both sides

x = +/- $\sqrt{-55}$

Simplify

x = $i\sqrt{55} , -i\sqrt{55}$

Hope this helps!

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2 years ago

4 times a number plus 4 is twice the number

nekit [7.7K]

Answer:

idk go back to 5th grade you might learn how to add but for ur answer is 8

Step-by-step explanation:

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3 years ago

On a piece of paper use a protractor and ruler can instruct two equilateral triangles one with a side of length of 3 inches and

frosja888 [35]

Answer:

yes

Step-by-step explanation:

1. put the compass at 3 inches

2. draw the arch mark at each end of the base line

4. put a dot were both arch marks intersect

5. draw a line connecting the triangle

6.repeat the following steps for the 4 inch triangle

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3 years ago