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Fudgin [204]
3 years ago
11

Which of the following points are on the line given by the equation y = 5x?

Mathematics
1 answer:
ivanzaharov [21]3 years ago
3 0

Answer:

C and E

Step-by-step explanation:

To answer this question, we plug in the X values of the coordinates into the equation to see if they'll give us the corresponding Y value.

(X, Y)

Example:

Y = 5X

6 != 5 * 3

We do this for every coordinate point. If the problem doesn't make sense, it doesn't fall on the line. Let's test every one of these.

B. (0, 1)

1 != 5 * 0

C. (3, 15)

15 = 5 * 3

D. (4, 2)

2 != 5 * 4

E. (-1, -5)

-5 = 5 * -1

F. (-1, 5)

5 != 5 * -1

* For those who don't know, the !=  is how to say "not equal to" in computer science.

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F(x)=2x^2-x-10 part a: what are the X intercepts of the graph of f(x)? Show your work
Genrish500 [490]
A. x intercepts are where the graph hits the x axis or where f(x)=0
0=2x^2-x-10
solve
hmm
we can use the ac method
multiply 2 and -10 to get -20
what 2 numbers muliply to get -20 and add to get -1 (the coefint of the x term)
-5 and 4
split the midd into that
0=2x^2+4x-5x-10
group
0=(2x^2+4x)+(-5x-10)
factor
0=2x(x+2)-5(x+2)
undistribute
0=(x+2)(2x-5)
set each to 0
0=x+2
0=-2

0=2x-5
5=2x
5/2=x

x intercepts are at x=-2 and 5/2 or the points (-2,0) and (5/2,0)


B. ok, so for f(x)=ax^2+bx+c
if a>0, then the parabola opens up and the vertex is a minimum
if a<0 then the parabola opens down and the vertex is a max

f(x)=2x^2-x-10
2>0
opoens up
vertex is minimum

ok, the vertex

the x value of  the vertex in f(x)=ax^2+bx+c= is -b/(2a)
the y value of the vertex is f(-b/(2a)) so
given
f(x)=2x^2-x-10
a=2
b=-1
-b/2a=-(-1)/(2*2)=1/4
f(1/4)=2(1/4)^2-(1/4)-10
f(1/4)=2(1/16)-1/4-10
f(1/4)=1/8-1/4-10
f(1/4)=1/8-2/8-80/8
f(1/4)=-81/8
so the vertex is (1/4,-81/8) or (0.25,-10.125)


C. graph the x intercepts and the vertex
the vertex is min and the graph goes through the x intercepts
4 0
3 years ago
If a man making $22 an hour gets a 20% raise, she will make an additional 1/10 of her salary an hour.
MariettaO [177]

Answer:

True

Step-by-step explanation:

If this is a true or false question it is true.

22 x 20% = 2.2

22 ÷ 10 = 2.2

Hope this helps!

3 0
2 years ago
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kifflom [539]

0 cookies. but siri was nice enough to give you a cookie.

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Pleaseeeee help me!!!!! i’ll appreciate it so much!
Shtirlitz [24]

Answer:

Step-by-step explanation:

∠Y = ∠P, so AY = AP

Perimeter = AY + AP + 13 = 43

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∠Y = ∠P, so AY = AP

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