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elena-14-01-66 [18.8K]
3 years ago
10

The functions f (x) = 1/2x-3 and g(x) = -2x+ 2 intersect at x = -2. True or false?

Mathematics
1 answer:
Norma-Jean [14]3 years ago
4 0

9514 1404 393

Answer:

  False

Step-by-step explanation:

f(-2) = (1/2)(-2) -3 = -1 -3 = -4

g(-2) = -2(-2) +2 = 4 +2 = 6

The function values are not the same at x=-2, so the graphs do not intersect there.

__

The graphs intersect at x=2.

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Find f(-2) if f(x) = 4x + 8
zzz [600]

Answer:

0

Step-by-step explanation:

Use the hint lol
Step 1: Plug in -2 into the equation.
f(-2) = 4(-2) + 8


Step 2: Multiply
f(-2) = -8 + 8

Step 3: Add

f(-2) = 0

5 0
1 year ago
Read 2 more answers
PLEASE PLEASE I SUCK AT MATH AND ITS ALL DUE FRIDAY PLEASE 10 piont !!! Select all the correct systems of equations.
alekssr [168]

Answer:

2x + y = 17

-6x = 3y - 51

Step-by-step explanation:

You get an infinite number of solutions when two equations are really just the same. This means you can convert one into the other simply by multiplying one to get the other.

In the above answer, if you multiply the above by -3 you get:

-6x -3y = -51

which is of course -6x = 3y - 51

So that is an example of a pair that has infinite solutions.

To find all of them, you'd carefully have to compare each 2 and see if there is a multiplier to convert one into the other. You can do that!

4 0
2 years ago
I NEED HELP ASAP
DIA [1.3K]

Answer:

y = \frac{3}{2} x + 13

Step-by-step explanation:

1) Use point-slope formula y-y_1 = m (x-x_1) to find the slope-intercept form (or y = mx + b form) of the equation. m represents the slope, and x_1 and y_1 represent the x and y values of a point the line intersects. So, substitute \frac{3}{2} for m, -4 for x_1, and 7 for y_1. Then, simplify and isolate y on the left side like so:

y-(7) = \frac{3}{2} (x - (-4)) \\y -7 = \frac{3}{2} (x + 4) \\y - 7 = \frac{3}{2} x + 6\\y = \frac{3}{2} x + 13

3 0
2 years ago
Help please (will chose brainliest).
lara [203]
Answers with Explanation.


i. If we raise a number to an exponent of 1, we get the same number.

{10}^{1}  = 10

ii. If we raise 10 to an exponent of 2, it means we multiply 10 by itself two times.

{10}^{2}  = 10 \times 10 = 100

iii. If we raise 10 to an exponent of 3, it means we multiply 10 by itself three times.



{10}^{3}  = 10 \times  {10}^{2}  = 10 \times 100 = 1000

iv. If we raise 10 to an exponent of 4, it means we multiply 10 by itself four times.


{10}^{4}  =  10 \times {10}^{3} = 10 \times 1000 =  10000

v. If we raise 10 to an exponent of 5, it means we multiply 10 by itself five times.



{10}^{5}  = 10 \times  {10}^{4}  = 10 \times 10000 = 100000

{10}^{5}  = 100000

vi. Recall that,

{a}^{ - m}  =  \frac{1}{ {a}^{m} }
We apply this law of exponents to obtain,

{10}^{ - 2}  =  \frac{1}{{10}^{2} }  =  \frac{1}{100}

vii. We apply
{a}^{ - m}  =  \frac{1}{ {a}^{m} }
again to obtain,


{10}^{ - 3}  =  \frac{1}{ {10}^{3} }  =  \frac{1}{1000}





5 0
3 years ago
The slope of the graph is equal to
elena-s [515]

Answer:

what slope and graph? sorry!

8 0
3 years ago
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