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3 years ago

What is the slope of the line represented by 9x - 14y = 28?

Mathematics

1 answer:

Soloha48 [4]3 years ago

4 0

Answer:

The slope of the line is $\displaystyle \frac{9}{14}$ .

Step-by-step explanation:

We are given the line in standard form:

$9x - 14y = 28$

We need to get this into slope-intercept form in order to determine the slope of the line.

Slope-intercept form is $y = mx + b$ , where m is our slope and b is the y-intercept.

Therefore, we need to get:

$9x - 14y = 28$

converted to:

$y = mx +b$ .

$\displaystyle 9x - 14y = 28\\\\-14y = -9x + 28\\\\\frac{-14y}{-14}=\frac{-9x+28}{-14}\\\\y = \frac{9}{14}x-2$

Therefore, by solving the equation in slope-intercept form, we see that m equals 9/14, so our slope is $\displaystyle \frac{9}{14}$ .

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1 4/8 in a improper fraction?

stiv31 [10]

<h2>Answer: $\frac{3}{2}$ </h2>

Step-by-step explanation:

Step 1: Multiply the whole number part (1) by the denominator (8).

1 × 8 = 8

Step 2: Add the product from Step 1 (8) to the numerator (4).

8 + 4 = 12

Step 3: Write that result (12) above the denominator. So,

$\frac4{8}{1}$

Step 4: The fraction $\frac{12}{8}$

Can be reduced by dividing both numerator and denominator by the GCD(12,8) = 4. Thus,

$\frac1{4}{8} =\frac{3}{2}$

8 0

3 years ago

How many ml of a 20% acid mixture and a 80% acid mixture should be mixed to get 120ml of a 35% acid mixture?

shutvik [7]

Answer:

Volume of Mixture A =90 ml

Volume of Mixture B =30 ml

Step-by-step explanation:

Let say, Mixture A + Mixture B = Mixture C

Volume of Mixture A is x

Volume of Mixture B is y

So, Volume of Mixture C is x+y = 120 ml

Now, Acid contain in Mixture A is 20% =0.2x

Acid contain in Mixture B is 80% =0.8y

Also, Acid contain in Mixture C is 35% =(0.35)(x+y) = 0.35×120=42

Now, we know that,

Acid contain of Mixture A + Acid contain of Mixture B=Acid contain of Mixture C

∴ 0.2x+0.8y=42

∴ 2x+8y=420

We get two linear equations

2x+8y=420 and x+y = 120

Solving above equation...

∴ x=120-y

Replacing x value in 2x+8y=420

∴ 2(120-y)+8y=420

∴ 240-2y+8y=420

∴ 6y=180

∴ y=30

Replacing y value in any equation

∴ x=120-y=120-30=90

∴ x=90

Thus,

Volume of Mixture A is x=90 ml

Volume of Mixture B is y=30 ml

3 0

3 years ago

Find the value of x. A. (2x-17)" С

lora16 [44]

The answer would be X=34

8 0

2 years ago

Find (f -9)x). f(x) = -3x + 2 g(x)= x2

algol13

Answer:

29 and -18

Step-by-step explanation:

f(x)= -3x+12

f(-9)= -3(-9)+2

f(-9)= 27+2

f(-9)= 29

g(x)= x2

g(-9)= -9(2)

g(-9)= -18

7 0

3 years ago

Can anyone help me?

suter [353]

Answer:

0.8

Step-by-step explanation:

3(5x+2)+10=4

=15x+6+10=4

After this step you subtract 6 from each side and then subtract 10 from each side and then after that you divide 15x on each side which will give you 0.8.

8 0

3 years ago