All categories

3 years ago

What are the x and y-intercepts of the line described by this equation? -6x+3y=18.9?

1 answer:

5 0

The "x" intercept is found when you plug in "0" for "y"
-6x + 3(0) = 18.9
-6x = 18.9 (Divide both sides by -6)
x = - 3.15
(-3.15, 0) is your x-intercept

Now plug in "0" for the x
-6(0) + 3y = 18.9
3y = 18.9 (Divide both sides by 3)
y = 6.3
(0, 6.3) is your y - intercept

You might be interested in

A tank containing 64 gallons lost 6 1/4% of this through leakage how much is remaining is the tank

jolli1 [7]

if we take 64 to be the 100%, how much is 6¼% off of it?

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 64&100\\ x&6\frac{1}{4} \end{array}\implies \cfrac{64}{x}=\cfrac{100}{6\frac{1}{4}}\implies \cfrac{64}{x}=\cfrac{\frac{100}{1}}{\frac{25}{4}}\implies \cfrac{64}{x}=\cfrac{100}{1}\cdot \cfrac{4}{25} \\\\\\ \cfrac{64}{x}=16\implies 64=16x\implies \cfrac{64}{16}=x\implies 4=x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{it had}}{64}-\stackrel{\textit{leakage}}{4}\implies \stackrel{\textit{remaining}}{60}$

4 0

3 years ago

Read 2 more answers

The width of a rectangle is 5x+3, and the length of the

jok3333 [9.3K]

Answer:

<em>Answer: 1/4</em>

Step-by-step explanation:

<u>Algebraic Operations</u>

The width of a rectangle is given as W=5x+3 and the length of the rectangle is given as L=20x+12.

It's required to determine the ratio of the width to the length, that is:

$\displaystyle \frac{W}{L}=\frac{ 5x+3}{20x+12}$

This fraction can be simplified if we factor the expression in the denominator. The LCF of 20x and 12 is 4, thus:

$\displaystyle \frac{W}{L}=\frac{ 5x+3}{4(5x+3)}$

Now note we have the exact same expression up and down, thus simplifying:

$\displaystyle \frac{W}{L}= \frac{1}{4}$

Answer: 1/4

5 0

3 years ago

If 3^4(81^2) = 3^n, what is n?

Mama L [17]

Answer:

n = 16

Step-by-step explanation:

3^4(81^2) = 3^n

3^4(3^4) = 3^n

3^16 = 3^n

n = 16

8 0

3 years ago

Is it possible for two numbers to have a difference of 5, and a sum of 12?

frozen [14]

Uhhh that doesn’t seem possible but then again i forgot simple math lol

4 0

2 years ago

Read 2 more answers

A line has a slope of 9/4 and a y-intercept of -14.

scoray [572]

The answer correct is C.

We can use the linear equation y=mx+b to help. y is the dependent variable, m is slope, x is the independent variable, and b is the y intercept.

In this case, the values of x and y were not given, so we still have y=mx+b. We can substitute 9/4 for m and -14 for b to get y=9/4x-15, which is C.

6 0

3 years ago