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3 years ago

Given the equation –2x + 3y = 18, what are the x-intercept and y-intercepts of the graph?

2 answers:

5 0

Y-intercept happens at x=0. Plug that into the equation. you'll get the y-intercept happens at (0,6). Then, to find the x-intercept y=0. Plug that into the equation. You'ff find that the x-intercept happens at (-9,0)

Aleksandr-060686 [28]3 years ago

4 0

the answer is C or your 3rd choice. i learned that u take the x first, so i took the x and got -2x=18 and got x by its self and do the same for y and then you get your x and y intercepts.

hope this helped<3

You might be interested in

65% of what number is 39 then write an equation

Volgvan

Answer:

Step-by-step explanation:

65% = .65, so

60 × .65 = 39

or the equation could be

60/.65 = x

Hope this helps, if not please let me know and i will do my best to correct my mistake.

6 0

3 years ago

What is the solution to the following system?

leva [86]

Answer:

(4,3,2)

Step-by-step explanation:

We can solve this via matrices, so the equations given can be written in matrix form as:

$\left[\begin{array}{cccc}3&2&1&20\\1&-4&-1&-10\\2&1&2&15\end{array}\right]$

Now I will shift rows to make my pivot point (top left) a 1 and so:

$\left[\begin{array}{cccc}1&-4&-1&-10\\2&1&2&15\\3&2&1&20\end{array}\right]$

Next I will come up with algorithms that can cancel out numbers where R1 means row 1, R2 means row 2 and R3 means row three therefore,

-2R1+R2=R2 , -3R1+R3=R3

$\left[\begin{array}{cccc}1&-4&-1&-10\\0&9&4&35\\0&14&4&50\end{array}\right]$

$\frac{R_2}{9}=R_2$

$\left[\begin{array}{cccc}1&-4&-1&-10\\0&1&\frac{4}{9}&\frac{35}{9}\\0&14&4&50\end{array}\right]$

4R2+R1=R1 , -14R2+R3=R3

$\left[\begin{array}{cccc}1&0&\frac{7}{9}&\frac{50}{9}\\0&1&\frac{4}{9}&\frac{35}{9}\\0&0&-\frac{20}{9}&-\frac{40}{9}\end{array}\right]$

$-\frac{9}{20}R_3=R_3$

$\left[\begin{array}{cccc}1&0&\frac{7}{9}&\frac{50}{9}\\0&1&\frac{4}{9}&\frac{35}{9}\\0&0&1&2\end{array}\right]$

$-\frac{4}{9}R_3+R_2=R2$ , $-\frac{7}{9}R_3+R_1=R_1$

$\left[\begin{array}{cccc}1&0&0&4\\0&1&0&3\\0&0&1&2\end{array}\right]$

Therefore the solution to the system of equations are (x,y,z) = (4,3,2)

Note: If answer choices are given, plug them in and see if you get what is "equal to". Meaning plug in 4 for x, 3 for y and 2 for z in the first equation and you should get 20, second equation -10 and third 15.

7 0

3 years ago

Write the equation of a circle with a center at (6, 7) and a diameter of 4.

posledela

Answer:

(x - 6)² + (y - 7)² = 4

Step-by-step explanation:

Equation of circle: (x - h)² + (y - k)² = r²

Given center(h,k) = (6,7)

h = 6

k = 7

Dimeter = 4 --

radius, r = $\frac{4}{2}$ = 2

(x - h)² + (y - k)² = r²

(x - 6)² + (y - 7)² = 2²

(x - 6)² + (y - 7)² = 4

8 0

3 years ago

The distance from earth to the sun is thought to be 1.496 × 108 kilometers. What is this distance when in standard notation?

just olya [345]

Answer:

I think it is 149,600,000.

Step-by-step explanation:

If the 8 is supposed to be the exponent. Then you move the decimal 8 times to the right.

4 0

3 years ago

What happens to the minimum point of f(x) = x2 + 5x + 2, when it is changed to f(x) = 5x2 + 5x + 2?

Aleonysh [2.5K]

The answer is B) it shifts up and to the right

6 0

3 years ago