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Yakvenalex [24]
3 years ago
13

If g(x) = 3x is graphed on a coordinate plane, what is the y-intercept of the graph? 0

Mathematics
2 answers:
madam [21]3 years ago
5 0
You have to solve 3x = 0, which is at x=0. The y intercept is the point (0,0), also known as the origin.
kvv77 [185]3 years ago
5 0

Answer:

(0,0)

Step-by-step explanation:

To find the y-intercept of a graph, you need to make x = 0 and then solve the equation for y.

In this case we have g(x) = 3x. This can also be written as y = 3x

So we're going to make x = 0 and solve for y:

y=3x\\y=3(0)\\y=0

Thus, the y-intercept of the graph is (0,0)

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Graph the equation to solve the system. y=2x+7 1/2y=x+7/2
vlabodo [156]

Given equation is y=2x+7 and \frac{1}{2}y=x+\frac{7}{2}

Let's simplify the 2nd equation \frac{1}{2}y=x+\frac{7}{2} before we can start graph so that calculation will be easy

\frac{1}{2}y=x+\frac{7}{2}

multiply both sides by 2 to cancel out fractions

2*\frac{1}{2}y=2*x+2*\frac{7}{2}

y=2x+7

which is exactly same as the first equatoin so graph of both will be exactly same and solution will be infinitely many solutions.

y=2x+7 has y-intercept 7 so first point will be (0,7). Slope is 2 so rise 2 unit up then 1 right and graph the new point.


3 0
3 years ago
-2(x + y)2 for for x =-3, y = 2 with steps
svlad2 [7]

Step-by-step explanation:

-2(-3+2)2

(-2×-3)+(-2×2)2

(6-4)2

2(6-4)

(2×6)+(2×-4)

12-8=4

6 0
3 years ago
FIRST CORRECT ANSWER GETS BRAINLIEST AND 50 POINTS.
AnnyKZ [126]

Answer:

A) 5^3*5^{-4}=5^{3-4}=5^{-1}=\frac{1}{5} (Yes. It has a value between zero and one.)

B) \frac{3^5}{3^{-6}}=3^{5-\left(-6\right)}=3^{5+6}=3^{11}=177147 (No. It does not have a value between zero and one.)

C) \left(\frac{1}{4}\right)^3* \left(\frac{1}{4}\right)^2=\left(\frac{1}{4}\right)^{3+2}=\left(\frac{1}{4}\right)^5=\frac{1^5}{4^5}=\frac{1}{1024}. (Yes. It has a value between zero and one.)

D) \frac{\left(-7\right)^5}{\left(-7\right)^7}=\left(-7\right)^{5-7}=\left(-7\right)^{-2}=\frac{1}{\left(-7\right)^2}=\frac{1}{49} (Yes. It has a value between zero and one.)

4 0
3 years ago
Read 2 more answers
The graph of the function P(x) = −0.52x2 + 23x + 92 is shown. The function models the profits, P, in thousands of dollars for a
elena-14-01-66 [18.8K]

Answer:

6.84 ≤ x ≤ 37.39

Step-by-step explanation:

we have

P(x)=-0.5x^2+23x+92 -----> equation A

we know that

The company wants to keep its profits at or above $225,000,

so

PXx)\geq 225 -----> inequality B

Remember that P(x) is in thousands of dollars

Solve the system by graphing

using a graphing tool

The solution is the interval [6.78,39.22]

see the attached figure

therefore

A reasonable constraint for the model is

6.84 ≤ x ≤ 37.39

4 0
3 years ago
-2m(m+n-4)+5(-2m+2n)+n(m+4n-5)
charle [14.2K]
Hello! And thank you for your question!

First we are going to expand the equation:

<span>−2<span>m^<span><span>​2</span><span>​​</span></span></span>−2mn+8m−10m+10n+nm+4<span>n<span><span>​^2</span><span>​​</span></span></span>−5n

Then we are going to combine like terms:

</span><span><span>−2<span>m<span><span>​^2</span><span>​​</span></span></span>+(−2mn+mn)+(8m−10m)+(10n−5n)+4<span>n<span><span>​^2</span><span>​​</span></span></span></span>
</span>
Then finally, simplify:

−2<span>m<span><span>​^2</span><span>​​</span></span></span>−mn−2m+5n+4<span>n<span>​^<span>2

Final Answer:
</span></span></span>
−2m​^2​​−mn−2m+5n+4n​^2
8 0
3 years ago
Read 2 more answers
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