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3 years ago

Which equation describes a line having a slope of -3/4 and a y-intercept of 5/2?

Mathematics

2 answers:

Dmitry_Shevchenko [17]3 years ago

5 0

Answer:

the answer is c most likely

Step-by-step explanation:

Marina CMI [18]3 years ago

5 0

Answer:

C. 3x + 4y = 10

Step-by-step explanation:

We shall change all the equation to the slope-intercept form, to get their slope and intercept.

To do the above, we will change it to the form y=mx + c

option A

4x + 3y = -10

subtract 4x from both-side of the equation

4x-4x + 3y = -4x - 10

3y = -4x - 10

Divide through the equation by 3

y = -4/3 x - 10/3

comparing the above equation with y=mx + c

The slope(m) is -4/3 and the intercept(c) is -10/3

OPTION B

4x + 3y = 10

Its almost the same with option A, except with the fact that the 10 is having a positive sign. This implies that its slope m = -4/3 and intercept(c) =10/3

OPTION C

3x + 4y = 10

Subtract 3x frrom both-side of the equation

3x - 3x + 4y =-3x + 10

4y = -3x + 10

Divide through the equation by 4

4y/4 = -3x /4 + 10/4

y = -3/4x + 5/2

Comparing the above equation by y=mx + c

The slope (m) =-3/4 and the intercept(c) =5/2

Therefore the equation which describe a line having a slope of -3/4 and y-intercept 5/2 is 3x + 4y = 10

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Can someone help with my homework?

Len [333]

Answer:

1a) $-\frac{15}{4}$

1b) $\frac{95}{33}$

2a) $-84$

2b) 1

3a) $\frac{171}{550}$

3b) $4\frac{2}{7}$

Step-by-step explanation:

For the first equation, let's use $\frac{-a}{b} =\frac{a}{-b} =-\frac{a}{b}$ to right a new fraction.

Step 1- Reduce the fraction with 4.

$-\frac{\frac{12/4}{4/4} }{\frac{4}{5} } = -\frac{3}{\frac{4}{5} }$

Step 2- Simplify the complex fraction(LCD or Least Common Denominator).

$-\frac{3}{\frac{4}{5} } = -\frac{15}{4}$

An alternative form for this fraction is $-3\frac{3}{4} or -3.75$ .

For the second equation..

Step 1- Convert the mixed number to an improper fraction.

$\frac{6\frac{3}{9} }{\frac{11}{5} } = \frac{\frac{57}{9} }{\frac{11}{5} }$

Step 2- Simplify the complex fraction.

$\frac{\frac{57}{9} }{\frac{11}{5} } = \frac{95}{33}$

An alternative form for this fraction is $2\frac{29}{33} or 2.87$ .

For the third equation use $\frac{-a}{b} =\frac{a}{-b} =-\frac{a}{b}$ ...

Step 1- Simplify the complex fraction(LCD).

$-\frac{7}{\frac{1}{12} } = -84$

For the fourth equation...

Write the fraction as a division.

$\frac{12}{8}$ ÷ $\frac{3}{2}$

To divide a fraction, multiply by the reciprocal of that fraction.

$\frac{12}{8} *\frac{2}{3} = \frac{12*2}{8*3}$

Reduce the fraction with 3.

$\frac{4*2}{8}= \frac{4}{4} = 1$

For the fifth equation...

Convert the mixed number to an improper fraction.

$\frac{-1\frac{8}{11} }{-5\frac{5}{9} } = \frac{-\frac{19}{11} }{-\frac{50}{9} }$

Reduce the fraction with -1, this eliminates the negative sign.

Simplify the complex fraction.

$\frac{\frac{19}{11} }{\frac{50}{9} } = \frac{171}{550}$

An alternative form for this fraction is 0.3109.

For the sixth equation..

Write the fraction as a division.

$\frac{3}{7}$ ÷ $\frac{1}{10}$

To divide by a fraction, multiply by the reciprocal of that fraction.

$\frac{3}{7}$ ×10= $\frac{3*10}{7}$

Multiply the numbers.

$\frac{3*10}{7} = \frac{30}{7}$

Alternative form of this fraction is $4\frac{2}{7}$ or 4.285714.

Hope this helps! :)

8 0

3 years ago

How do I solve this ?

erica [24]

4x+3y=10
You want to isolate the y so subtract 4x from each side

3y=-4x+10
You want to isolate the y so divide everything by 3

y=-(4/3)x+(10/3)
That’s what y is

3 0

3 years ago

A store sells 1 dozen donuts for $6.00. How much does it cost for one donut?

marin [14]

Answer:

666

Step-by-step explanation:

666

3 0

3 years ago

Read 2 more answers

Plz help answer <br> y=2x-3 x+y=18

hram777 [196]

Y = 2x-3
x + y = 18
Since you already know what y is equal to, we can plug that in into the second equation.
x + (2x-3) = 18
x + 2x -3 = 18
3x -3 = 18
Add 3 to both sides of the equation. (By doing this, we can isolate the 3x on the left side by getting rid of the -3)
3x = 21
Divide 3 on both sides
x = 7

4 0

4 years ago

58.6790691589 to the nearest hundred thousand

Maurinko [17]

Answer:

58.67907

Step-by-step explanation:

-7 is the hundredth

-9 is the thousandth

0 is the ten thousandth

And 6 is the hundred-thousandth however since the digit following 6 is greater than 5 you round the 6 up to 7.

8 0

3 years ago