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Over [174]
3 years ago
12

Which of the following represents 3x-5y+10=0 written in slope-intercept form?

Mathematics
1 answer:
taurus [48]3 years ago
5 0

For this case we have that by definition, the equation of a line in the slope-intercept form is given by:

y = mx + b

Where:

m: Is the slope

b: Is the cut-off point with the y axis

We have the following equation:

3x-5y + 10 = 0

We manipulate algebraically:

We subtract 10 from both sides of the equation:

3x-5y = -10

We subtract 3x from both sides of the equation:

-5y = -3x-10

We multiply by -1 on both sides of the equation:

5y = 3x + 10

We divide between 5 on both sides of the equation:

y = \frac {3} {5} x + \frac {10} {5}\\y = \frac {3} {5} x + 2

Thus, the equation in the slope-intercept form is y = \frac {3} {5} x + 2

Answer:

y = \frac {3} {5} x + 2

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Vinvika [58]

Answer:

x = -15/2

Step-by-step explanation:

For this problem, we will simply use equation properties to solve for x.

2x - 5 = -20

2x - 5 + 5 = -20 + 5

2x = -15  ( Add positive 5 to both sides )

2x * (1/2) = -15 * (1/2)

x = -15/2  ( Multiply both sides by 1/2)

Hence, the solution to x is -15 / 2.

Cheers.

4 0
2 years ago
Read 2 more answers
A box of oat cereal costs $3.90 for 15 ounces. A box of rice of cereal costs $3.30 for 11 ounces. Which box of cereal costs less
Firlakuza [10]

Answer:

The cost of per ounce of oat cereal is $0.04 less than per ounce cost of rice.

Step-by-step explanation:

Given:

Cost of 15 ounces of oat cereal box = $3.90

Cost of 11 ounces of rice box = $3.30

To compare the unit prices of the the boxes.

Solution:

Using unitary method to find the unit prices:

If 15 ounce of oat box cost =$3.90

∴ 1 ounce of oat cereal would cost = \$\frac{3.90}{15}=\$0.26

∴ Per ounce cost of oat cereal = $0.26

If 11 ounce of rice box cost =$3.30

∴ 1 ounce of rice would cost = \$\frac{3.30}{11}=\$0.3

∴ Per ounce cost of rice = $0.3

Difference in unit costs of oat and rice = \$0.3-\$0.26=\$0.04

On comparing the the unit costs of oats and rice, we find out that the cost of per ounce of oat cereal is $0.04 less than per ounce cost of rice.

3 0
3 years ago
Find the surface area of the composite solid below. (2 ft, 2 ft, 2 ft, 3 ft)
elixir [45]

Answer:

44 sq. ft

Step-by-step explanation:

5(2^2) = 20

4(3x2) = 24

20+24 = 44

3 0
3 years ago
The total monthly earnings, t, equals $18 times the number of hours worked, h.
Nimfa-mama [501]
c. t = 18h

is the appropriate expression for t equals 18 times h.
4 0
3 years ago
Read 2 more answers
Mr. Rodriguez works in a store. He wants to arrange 12 toys in a display shaped like a rectangular prism. The toys are in cube-s
Vilka [71]
To find the different ways to display the boxes, you will find all the different ways you can make an array of 12.

12 x 1 and 1 x 12
2 x 6 and 6 x 2
3 x 4 and 4 x 3

There are 6 possibilities.
4 0
3 years ago
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