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3 years ago

If x = −4 is a zero of the polynomial function f(x) = 2x3 + 13x2 + 23x + 12, which of the following is another zero of f(x)

1 answer:

7 0

Your answer is B, X = -1

A “zero” is the number x has to be for the equation to equal 0. So, looking at the equation, x HAS to be negative, because the whole equation has +’s, which will never amount to 0 unless X is a negative number.

You can also plug -1 in for X as so:
2(-1)3 + 13(-1)2 + 23(-1) + 12

Which simplifies:
-2 +13 - 23 + 12

Which equals 0

I hope this Helps!

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pentagon [3]

Answer:

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Step-by-step explanation:

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3 years ago

A jacket is on sale for 20% off the regular price. The sale price ism$50.00. What is the regular price of the jacket?

Delicious77 [7]

Lets solve for x.

0.8x = 50. - Remember that the jacket was 80% of the original price.

Thus, divide by x.

x = 50 / 0.8
x = 62.5

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3 years ago

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The results of an experiment are in the table below. Which statement is true?

timurjin [86]

Answer:

answer is D

Step-by-step explanation:

because to even it out, you would need ore ones to have rolled to make an average

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2 years ago

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A cone and a triangular pyramid have a height of 9.3 m

Otrada [13]

Answer:

$x=17.1\ in$

Step-by-step explanation:

The complete question is

A cone and a triangular pyramid have a height of 9.3 m and their cross-sectional areas are equal at every level parallel to their respective bases. The radius of the base of the cone is 3 in and the other leg (not x) of the triangle base of the triangular pyramid is 3.3 in

What is the height, x, of the triangle base of the pyramid? Round to the nearest tenth

The picture of the question in the attached figure

we know that

If their cross-sectional areas are equal at every level parallel to their respective bases and the height is the same, then their volumes are equal

Equate the volume of the cone and the volume of the triangular pyramid

$\frac{1}{3}\pi r^{2}H=\frac{1}{3}[\frac{1}{2}(b)(h)H]$

simplify

$\pi r^{2}=\frac{1}{2}(b)(h)$

we have

$r=3\ in\\b=3.3\ in\\h=x\ in\\pi=3.14$

substitute the given values

$(3.14)(3)^{2}=\frac{1}{2}(3.3)(x)$

solve for x

$28.26=\frac{1}{2}(3.3)(x)$

$x=28.26(2)/3.3\\x=17.1\ in$

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3 years ago

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Plsss help no one answered the other times I put this question

svetlana [45]

Answer:

a) The equation (10s + 8w) represents the calories Bridget ate on Monday and the equation (20s + w) represents the calories she ate the next day.

b) The number of calories in each strawberry is 4 and the number of calories in each vanilla wafer cookie is 19. The solution is s= 4 and w = 19.

Step-by-step explanation:

For part A, Bridget ate 10 strawberries and 8 vanilla wafer cookies on Monday. Since the the number of calories in a strawberry is s and the number of calories in a vanilla wafer cookie is w , the number of calories Bridget ate on Monday is 10s + 8w. The next day, Bridget ate 20 strawberries and 1 vanilla wafer cookie. Hence, the number of calories Bridget ate on the next day is 20s + w.

For part B,

we will create two different simultaneous equations.

Equation 1: 10s + 8w = 192

Equation 2: 20s + w = 99

We need to find one of the terms first to solve the other term. For this case, I will solve for w first.

Multiply the first equation by 2.

Equation 3: 20s + 16w = 192*2 = 384.

Now, subtract equation 2 from this new equation.

Equation 4:

(20s + 16w) - (20s + w) = 384 - 99

20s + 16w - 20s - w = 285

15w = 285

This leaves only w left and we can solve w.

w = 285 / 15 = 19

Now, we can solve for s using equation 2.

20s + 19 = 99

20s = 99-19 = 80

Hence,

s = 80/20 = 4

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3 years ago