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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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Answer:

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3 years ago
How do I graph quadratic equations: y=(x+2)^2-1
Fudgin [204]
Easiest way is if you have a graphing calculator, but if not. Simply plug in values for x, starting at -2 for this equation, and then find the corresponding y values. Then plot.
6 0
3 years ago
Can somebody please help me with this question and provide an explanation?
SSSSS [86.1K]

Answer:

first of all the formula

y = mx+c

where m is slope and c is y-intercept.

now substitute the values-

y = 2x - 5

(for the slope here is 2 and the part where the line intercepts y axis is -5

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7 0
3 years ago
Read 2 more answers
Find the equation of the line through (6,8) which is parallel to the line y=4x−6.
Ratling [72]

Answer:

y=4x-16

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope of the line and b is the y-intercept (the value of y when x is 0)
  • Parallel lines always have the same slope

<u>1) Determine the slope (m)</u>

<u />y=4x-6<u />

4 is in the place of m, making it the slope. Because parallel lines have the same slope, the slope of the line is therefore 4. Plug this into y=mx+b:

y=4x+b

<u>2) Determine the y-intercept (b)</u>

y=4x+b

Plug in the given point (6,8) and solve for b

8=4(6)+b\\8=24+b

Subtract 24 from both sides to isolate b

8-24=24+b-24\\-16=b

Therefore, the y-intercept of the line is -16. Plug this back into y=4x+b:

y=4x-16

I hope this helps!

3 0
3 years ago
Jane is having difficulty deciding whether to put her savings in the Mystic Bank or in the Four Rivers Bank. Mystic offers a 12%
Ad libitum [116K]
The answer to this question would be <span>B. Mystic
</span><span>

Since the rate should be constant, option C and D wouldn't be true.</span>
If the Four Rivers bank gives 12% per year and Mystic Bank gives 14% per year, it will be 3% per quarter year for Four Rivers Bank and 7% semiannually for Mystic Bank. 
The total rate would become:
Four rivers 103%^4= 1.125
Mystic : 107%^2= 1.145

5 0
3 years ago
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