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Tamiku [17]
1 year ago
12

Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three op

tions. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).
Mathematics
1 answer:
iVinArrow [24]1 year ago
8 0

The statement that are true about the function and its graph is "The graph of the function is a parabola " , the correct option is (b) .

In the question ,

it is given that ,

the quadratic function is f(x) = x² – 5x + 12 .

for x = -10 ,

f(-10) = (-10)² – 5(-10) + 12

= 100 + 50 + 12

= 162

option(a) is false .

the graph of the quadratic function is shown below .

form the graph we can see that the graph is a parabola ,

and the function opens upwards ,

the graph does not contain the points (20,-8) and (0,0)

Therefore , The statement that are true about the function and its graph is "The graph of the function is a parabola " , the correct option is (b) .

The given question is incomplete , the complete question is

Consider the quadratic function f(x) = x² – 5x + 12. Which statement is true about the function and its graph?

(a) The value of f(–10) = 82

(b) The graph of the function is a parabola.

(c) The graph of the function opens down.

(d) The graph contains the point (20, –8).

(e) The graph contains the point (0, 0).

Learn more about Functions here

brainly.com/question/13159926

#SPJ1

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Answer

I The Turner family spent at least $100 each week.

A) I only

Step by step explanation

By looking at the graph. We can interpret the following information.

1st week = $145

2nd week = $105

3rd week = $125

4th week = $200

5th week = $150

From the above information.

The Turner family spent at least $100 each week.

The other statements are false.

Therefore, the answer A) I only

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7 0
3 years ago
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Noelle stands at the edge of a cliff and drops a rock. The height of the rock is given by the function f(x)-4.9x2 + 15, where c
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A graphing calculator shows the rocks are at the same height 1.5 seconds after they are released.

That height is 3.975 meters.

_____
f(x) = g(x)
-4.9x^2 +15 = -4.9x^2 +10x
15 = 10x . . . . . . . . . . . . . . . . . . add 4.9x^2
1.5 = x . . . . . . . . . . . . . . . . . . . divide by 10
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3 0
3 years ago
Definition: This is a decimal number which never ends, but whose digits after the decimal point come in a predictable pattern. E
kirill [66]

Answer:

 the answer is repeating

Step-by-step explanation:

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7 0
3 years ago
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An Xത chart with three-sigma limits has parameters as follows: UCL = 104; Center Line = 100; LCL = 96; n = 5 Suppose the process
ruslelena [56]

Answer:

The probability that the control chart would exhibit lack of control by at least the third point plotted is P=0.948.

Step-by-step explanation:

We consider "lack of control by at least the third point plotted" if at least one of the three first points is over the UCL or under the LCL.

The probability of one point of being over UCL=104 is:

z=(X-\mu)/\sigma=(104-98)/8=6/8=0.75\\\\P(X>104)=P(z>0.75)=0.227

The probability of one point of being under LCL=96 is:

z=(X-\mu)/\sigma=(96-98)/8=-2/8=-0.25\\\\P(X

Then, the probability of exhibit lack of control is:

P=P(X>104)+P(X

The probability of having at least one point out of control in the first three points is:

P(x\geq1)=1-P(0)\\\\P(x\geq1)=1- 0.052=0.948\\\\\\P(x=0) = \binom{11}{0} p^{0}q^{3}= 1*1*0.0515=0.0515\\\\

The probability that the control chart would exhibit lack of control by at least the third point plotted is P=0.948.

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3 years ago
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sdas [7]

Answer:

A)

The x- intercepts are (0, 0) and (4, 0)

<u>As per graph negative values of y are in the interval:</u>

  • x = (-∞, 0)∪(4, +∞)

B)

<u>Positive values of y are in the interval:</u>

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