All categories

2 years ago

Write 2y+7=3(x+5) in slope intercept form. WILL MARK THE BRAINLIEST

Mathematics

2 answers:

Zina [86]2 years ago

8 0

Answer:

y=(3/2)x+4

Step-by-step explanation:

SCORPION-xisa [38]2 years ago

5 0

Solution:

We know that:

Slope intercept form: y = mx + b
Given equation: 2y + 7 = 3(x + 5)

Simplify the distributive property.

2y + 7 = 3(x + 5)
=> 2y + 7 = 3x + 15

According to the slope intercept form formula, all the constants should be on the RHS side. Let's do the same with this equation.

Subtract 7 both sides

2y + 7 - 7 = 3x + 15 - 7
=> 2y = 3x + 8

Since 2y = 3x + 8 must be in y = mx + b form, we need to isolate the coefficient of y. To isolate the coefficient of y, divide both sides by 2.

Divide 2 both sides.

2y/2 = 3x/2 + 8/2
y = 1.5x + 4

The slope intercept form of 2y+7=3(x+5) is y = 1.5x + 4.

You might be interested in

If S_6=922.32 and r = 4/5, what is the value of a₁?

il63 [147K]

Answer:

a₁ = 250

Step-by-step explanation:

Use the given values in the formula for the sum of a geometric series, and solve for the unknown.

S₆ = a₁×(1 -r⁶)/(1 -r) . . . . sum of 6 terms of a geometric series

922.32 = a₁×(1 -(4/5)⁶)/(1 -4/5) = a₁×5×(1 -4096/15625) = a₁×11529/3125

922.32×3125/11529 = a₁ = 250 . . . . divide by the coefficient of a₁

3 0

2 years ago

If you know that 84 is 70% of the whole, explain how you can use proportional reasoning to determine the whole. Use the drop-dow

Akimi4 [234]

Answer: The value of whole is 120.

Step-by-step explanation:

Since we have given that

84 is 70% of the whole.

Let the whole be 'x'.

According to question, it becomes,

$84=\dfrac{70}{100}\times x\\\\84=0.7\times x\\\\\dfrac{84}{0.7}=x\\\\120=x$

So, we have use the proportion i.e. $\dfrac{84}{70\%}=\dfrac{84}{0.7}$ to determine the value of whole.

Hence, the value of whole is 120.

8 0

3 years ago

Two quantities are related, as shown in the table below:

notka56 [123]

A. Y=1/2x + 2

Y=1/2 times 2 + 2 = 3
Y=1/2 times 4 + 2 = 4
Y=1/2 times 6 + 2 = 5
Y=1/2 times 8 + 2 = 6

7 0

3 years ago

Read 2 more answers

3 parentheses 2 minus 2 parentheses 3 parentheses 20 minus 2 parentheses

Monica [59]

Answer:

3(2-2) * 3(20-2)

3(0) * 3(18)

0 * 54 = 0

Step-by-step explanation:

3(2-2) * 3(20-2)

3(0) * 3(18)

0 * 54 = 0

5 0

3 years ago

Complete the table below to show the differences bettween algebraic expression and equation

bonufazy [111]

Complete the table below to show the differences between algebraic

expression and equation.

Describe each to show their differences.

Give 3 examples of each.

Answer:

Explained below with examples

Step-by-step explanation:

1. Algebraic expression in mathematics are basically expressions that are formed from variables, integer constants, and also algebraic operations.

Examples include;

>> 2x² − xy

>> 3ab + 2b²

>> x² + y²

2. An algebraic equation is a phrase where the two sides of the equation which are the left and right hand sides are connected by the equal to sign (=).

Examples are;

>> 3y - y² = 2y² + 2

>> 3x - 4y = x + 2

>> 5a + 3b = 2b - 1

6 0

3 years ago