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olga2289 [7]
3 years ago
14

Can you guys help me with this?

Mathematics
1 answer:
Ghella [55]3 years ago
7 0
F(x)=2x^2-x-6
Factoring:
f(x)=2(2x^2-x-6)/2=(2^2x^2-2x-12)/2=[(2x)^2-(2x)-12]/2
f(x)=(2x-4)(2x+3)/2=(2x/2-4/2)(2x+3)→f(x)=(x-2)(2x+3)

g(x)=x^2-4
Factoring
g(x)=[sqrt(x^2)-sqrt(4)][sqrt(x^2)+sqrt(4)]
g(x)=(x-2)(x+2)

f(x)/g(x)=[(x-2)(2x+3)] / [(x-2)(x+2)
Simplifying:
f(x)/g(x)=(2x+3)/(x+2)

Answer: Third Option (2x+3)/(x+2)
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3. Write the equation of a line that is perpendicular to the given line and that passes through the given point.
prohojiy [21]
To find the perpendicular line a y- 2 = 7/3 (x + 5) you must first observe that the slope is m = 7/3, therefore, the slope of the perpendicular line put of the reciprocal, that is, m = - 3/7. So the possible options are A or C, but since the point (-4, 9) must go through the line, we find that the equation that satisfies that is option C.Therefore the perpendicular line that passes through the point (-4, 9) is C. y - 9 = -3/7 (x + 4)
3 0
3 years ago
If onelb of shrimp is 1 5/8 and it costs 16.99 how much do you need to get 5 lb of shrimp
lyudmila [28]

Answer:

If one is 1 5/8 and its cost is 16.99 and you need 5lb.

Step-by-step explanation:Than first you will take the 16.99 x 5 =84.95 dollars. Take that 1 5/8 x 5 =  8  1/8

So it would take 8 1/8 and 84.95$


7 0
3 years ago
Please help me if you are good at math!
Zanzabum
Answers:
1, 6, 36, 216: Geometric
12, 4, -4, -12: Arithmetic
1, 2, 8, 64: Neither
-216, -72, -24, -8: Geometric

Explanations:
Arithmetic Sequence: Every number in the sequence is either added or subtracted by the same number. We know that 12, 4, -4, -12 is arithmetic because each number in the sequence is subtracted by 8.

Geometric Sequence: Every number in the sequence is either multiplied or divided by the same number. We know that 1, 6, 36, 216 is geometric because each number in the sequence is multiplied by 6. We also know that -216, -72, -24, -8 is geometric because each number in the sequence is being divided by 3.

Neither: 1, 2, 8, 64 is neither because it is not being added, subtracted, multiplied, or divided by the same number.

I hope this helped!
4 0
3 years ago
Write the equation is logarithmic form 33 = 27
irinina [24]
6 is the answerI equations
3 0
3 years ago
Ming throws a stone off a bridge into a river below. The stone's height (in meters above the water), xxx seconds after Ming thre
Kitty [74]

Answer:

45 m

Step-by-step explanation:

<h3>Given</h3>

<u>Function to produce the stone's height</u>

  • h(x)= -5(x-1)^2+45

Maximum value the given function can get is at (x - 1) = 0 ⇒ x = 1

because the  -5(x - 1)² can get maximum  value of zero as the square of any number is zero or positive

<u>So maximum height is </u>

  • h(-1) = 45 m
4 0
3 years ago
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