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2 years ago

F(x)=4x^2+2x-6.find the range of function f(x).

Mathematics

1 answer:

Triss [41]2 years ago

4 0

Answer:

y ≥ 6.25

Step-by-step explanation:

f(x)=4x²+2x-6

positive (4) leading coefficient, curve is left up and right up

x coordinate of vertex: x = - b/2a = - 2/2*4 = - 1/4 (-0.25)

y = 4*(-1/4)² + 2*(-1/4) - 6 = -6 1/4 (-6.25) ... extreme

range: y ≥ - 6.25 [-6.25,∞)

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A bottle contains 30 fluid ounces of orange juice and 18 fluid ounces of pineapple juice. Which graph has a slope that best repr

mojhsa [17]

Answer:

option B. G

Step-by-step explanation:

Let

y ---->ounces of orange juice

x ---> ounces of pineapple juice

we know that

The ratio of orange juice to pineapple juice is equal to

$ratio=\frac{y}{x}$

substitute the given values

$ratio=\frac{30}{18}$

simplify

$ratio=\frac{5}{3}=1.67$

Verify each graph

Remember that the formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

we have

$ratio=\frac{5}{3}$

that means

5 ounces of orange juice per 3 ounces of pineapple juice

Graph F

The slope is

$m=\frac{4}{6}=\frac{2}{3}=0.67$

Graph G

The slope is

$m=\frac{4}{2}=\frac{2}{1}=2$

Graph H

The slope is

$m=\frac{70}{6}=\frac{35}{3}=11.67$

Graph J

The slope is

$m=\frac{12}{10}=\frac{6}{5}=1.2$

The value of 2 is the value closest to 1.67

therefore

The graph that has a slope that best represents the ratio of orange juice to pineapple juice is Graph G

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3 years ago

Yes hbc7)7/67), Z a mf s

Masja [62]

Answer:

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