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2 years ago

Determine the number of shaded sections for each model

Mathematics

1 answer:

xxTIMURxx [149]2 years ago

5 0

Answer: I can't view the model.

Step-by-step explanation:

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Mark wants to be the best football on his team. So he hits the weight room. He started lifting at 135lbs for his bench and every

balu736 [363]

Answer:

One week and around two days.

Step-by-step explanation:

7 0

2 years ago

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ASAPPP!!!! HELP I WILL GIVE 100POINTS AND BRAINLIST Question 9 (Essay Worth 10 points)

Luda [366]

Answer:

Part A)

The x-intercepts are (-1/4, 0) and (4, 0).

Part B)

The vertex is a maximum because the leading coefficient is negative.

The vertex is (1.875, 72.25).

Part C)

We can plot the zeros and the vertex, and connect them with a curve.

Step-by-step explanation:

The function given is:

$f(x)=-16x^2+60x+16$

Part A)

To find the x-intercepts of the function, set the function equal to 0 and solve for x:

$0=-16x^2+60x+16$

We can divide both sides by negative four:

$0=4x^2-15x-4$

Factor:

$0=(4x+1)(x-4)$

Zero Product Property:

$x-4=0\text{ or } 4x+1=0$

Solve for each case:

$\displaystyle x=-\frac{1}{4}\text{ or }x=4$

Hence, our zeros are:

$\displaystyle \left(-\frac{1}{4}, 0\right)\text{ and } \left(4, 0\right)$

Part B)

Note that the leading coefficient of our function is negative.

So, our function will be concave down.

Hence, our vertex will be the maximum.

The vertex is given by:

$\displaystyle \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)$

In this case, a = -16, b = 60, and c = 16.

Find the x-coordinate of the vertex:

$\displaystyle x=-\frac{(60)}{2(-16)}=\frac{15}{8}=1.875$

Substitute this back into the function to find the y-coordinate:

$f(1.875)=-16(1.875)^2+60(1.875)+16=72.25$

Hence, our vertex is:

$(1.875, 72.25)$

Part C)

Since we already determined the zeros and the vertex, we can plot the two zeros and the vertex and draw a curve between the three points.

The graph is shown below. Again, to do this by hand, simply plot the three points and connect them with a parabola. If necessary, we can also find the y-intercept.

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2 years ago

One of the factors of 4x^2-9 is (1)x+3 (2)2x+3 (3)4x-3 (4)x-3

slava [35]

Answer:

$2x+3$

Step-by-step explanation:

$4x^2-9=(2x)^2 -3^2=(2x-3)(2x+3)$

8 0

2 years ago

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A= 5,000 (1+.002*10)

Aneli [31]

I think The answer is 5100

3 0

2 years ago

Based on the data in the two-way table, what is the probability that a person weighs 120 pounds, given that he or she consumes 2

sdas [7]

In the question "Based on the data in the two-way table, what is the probability that a person weighs 120 pounds, given that he or she consumes 2,000 to 2,500 calories per day?" The probability of an event, say A given another event, say B is given by n(A and B) / n(B). Thus the probability that a person weighs 120 pounds, given that he or she consumes 2,000 to 2,500 calories per day is given by number of persons that weigh 120 pounds and consume 2,000 to 2,500 calories per day / number of persons that consume 2,000 to 2,500 calories per day. From the table, the number of persons that weigh 120 pounds and consume 2,000 to 2,500 calories per day is 10 while the number of persons that consume 2,000 to 2,500 calories per day is 110. Therefore, the required probability is 10 / 110 = 1 / 11

3 0

3 years ago

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