I bisects segment GH. If IH] = x2

f(x) is a quadratic function with x-intercepts at (−1, 0) and (−3, 0). If the range of f(x) is [−4, [infinity]) and g(x) = 2x^2

iren2701 [21]

Answer with Step-by-step explanation:

We are given that function f(x) which is quadratic function.

x -intercept of function f(x) at (-1,0) and (-3,0)

x-Intercept of f means zeroes of f

x=-1 and x=-3

Range of f =[-4, $\infty$ )

g(x)= $2x^2+8x+6=2(x^2+4x+3)$

$g(x)=0$

$2(x^2+4x+3)=0$

$x^2+4x+3=0$

$x^2+3x+x+3=0$

$x(x+3)+1(x+3)=0$

$(x+1)(x+3)=0$

$x+1=0\implies x=-1$

$x+3=0\implies x=-3$

Therefore, x-intercept of g(x) at (-1,0) and (-3,0).

Substitute x=-2

$g(-2)=2(-2)^2+8(-2)+6=8-16+6=-2$

$g(x)=2(x^2+4x)+6$

$g(x)=2(x^2+2\times x\times 2+4-4)+6=2(x^2+2\times x\times 2+4)-8+6$

$g(x)=2(x+2)^2-2$

By comparing with the equation of parabola

$y=a(x-h)^2+k$

Where vertex=(h,k)

We get vertex of g(x)=(-2,-2)

Range of g(x)=[-2, $\infty$ )

Zeroes of f and g are same .

But range of f and g are different.

Range of f contains -3 and -4 but range of g does not contain -3 and -4.

f and g are both quadratic functions.

3 0

3 years ago

Oliver has a bag that contains pineapple chews, lemon chews, and peach chews. He performs an experiment. Oliver randomly removes

Shtirlitz [24]

The probability that the next chew Oliver removes from the bag will be peach chew as a percent to the nearest whole number will be 13%.

<h3>What is probability?</h3>

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Oliver has a bag that contains pineapple chews, lemon chews, and peach chews.

He performs an experiment.

Oliver randomly removes a chew from the bag, records the result, and returns the chew to the bag.

Oliver performs the experiment 23 times.

The results are shown below:

A pineapple chew was selected 17 times.

A lemon chew was selected 4 times.

A peach chew was selected 2 times.

Then the probability that the next chew Oliver removes from the bag will be peach chew as a percent to the nearest whole number will be

Total event = 24 times

Favorable event = 3 times

Then we have

P = 3 / 24 x 100

P = 0.125 x 100

P = 12.5%

P ≅ 13%

More about the probability link is given below.

brainly.com/question/795909

#SPJ1

8 0

2 years ago

Solve y = x + 6 for x.

elena-s [515]

Answer:

C

Step-by-step explanation:

move the x over

-x+y=6

move the y over

-x = -y+6

times each number by a -

x=y-6

4 0

2 years ago

Read 2 more answers

(2p + 4) + 5 (p-1) - (p+7)

svetoff [14.1K]

<em>Your answer will be, </em><em>"6p - 8"</em>

Thanks,

<em>Deku ❤</em>

4 0

2 years ago

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Can anyone explain how you get the answer?

AnnyKZ [126]

Answer:

G) -12

Step-by-step explanation:

x is increasing by 2

y is decreasing by 24

-24 / 2 = -12

4 0

2 years ago

Read 2 more answers