If f(x) = 3x + 2 and g(x) = x^2 - x, find the value of g(-6).

Answers

Answer 1

Answer:

Answer:

g(x)=(-6)2-(-6)=42

by substitute -6 in g(x) we get 42

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If the total area of a dartboard is 30,000 mm2 and the area of the bull's-eye is 1000 mm2, what is the probability of getting a bull's-eye?A. 6%
B. 3%
C. 33%
D. 25%

Answers

Answer:

The correct option is B.

Step-by-step explanation:

It is given that the total area of a dartboard is 30,000 mm² and the area of the bull's-eye is 1000 mm².

The probability of getting a bull's-eye is

$\text{Probability of getting a bull's-eye}=\frac{\text{Area of the bull's-eye}}{\text{Total area}}$

$\text{Probability of getting a bull's-eye}=(1000)/(30000)$

$\text{Probability of getting a bull's-eye}=(1)/(30)$

$\text{Probability of getting a bull's-eye}=0.0333\approx 3\%$

Therefore the correct option is B.

chances of hitting bull's-eye is $(1000)/(30,000)$ that = $(1)/(30)$ 1-:30= 0.03= 3%

Sofia needs to order some new supplies for the restaurant where she works. The restaurant needs at least 566 glasses. There are currently 371 glasses. If each set on sale contains 18 glasses, which inequality can be used to determine xx, the minimum number of sets of glasses Sofia should buy?

Answers

Answer:

371 + 18x ≥ 566

Step-by-step explanation:

We know:

current # of glasses= 371

glasses per set= 18

glasses needed= 566

# of sets= x

At least means she can also have more than 566 glasses, so we will use the ≥ ("greater than or equal to") symbol:

glasses per set⋅# of sets+current # of glasses≥glasses needed

18x+371 ≥ 566

or, by the commutative property of addition,

371+18x ≥ 566

Inequality #2

We could also switch the two sides of the inequality, but we have to be careful which symbol we use. At least means the number of glasses needed should always be less than or equal to the glasses the restaurant has, including the glasses they already had, plus the sets Sofia bought.

Inequality #3

566 ≤ 18x+371

566≤ 371+18x

Inequality #4

Final answer:

To determine the minimum number of sets of glasses Sofia should buy, an inequality can be used. Subtract the current number of glasses from the desired number of glasses and divide by the number of glasses in each set to find the minimum number of sets needed.

Explanation:

To determine the minimum number of sets of glasses Sofia should buy, we need to find the difference between the desired number of glasses and the current number of glasses. The desired number of glasses is given as at least 566 and the current number of glasses is 371. So the inequality we can use is: 566 - 371 ≥ 18x, where x is the number of sets of glasses Sofia should buy.

We subtract 371 from 566 to get 195 and then divide by 18 to find the minimum number of sets of glasses Sofia should buy. Therefore, the minimum number of sets of glasses = 195 ÷ 18 = 10.83. Since we can't have a fraction of a set, Sofia should buy at least 11 sets of glasses.

Learn more about Inequality here:

brainly.com/question/32625151

#SPJ11

Find a quadratic model for the set of values: (-2, -20), (0, -4), (4,-20) Show your work

Answers

For this case, the quadratic function in its generic form is given by:

We must find the values of the coefficients.

For this, we evaluate the given points.

For (0, -4):

For (-2, -20):

For (4, -20):

Therefore, for the values of a and b we have the following system of equations:

Resolving graphically (see attached image) we have:

Then, the quadratic model is:

Answer:

a quadratic model for the set of values is:

$y = -2x ^ 2 + 4x - 4$

A quadratic function:
$y=ax^2+bx+c$

First, take the point (0,-4) and plug the values (x,y) into the equation:
$-4=a * 0^2+b * 0 +c \n-4=c$

So the equation is $y=ax^2+bx-4$ .

Now plug the values of the other two points into the equation and set up a system of equation:
$-20=a * (-2)^2+b * (-2)-4 \n-20=a * 4^2+b * 4-4 \n \n-20+4=4a-2b \n-20+4=16a+4b \n \n-16=4a-2b \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ | / 2 \n-16=16a+4b \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 4 \n \n-8=2a-b \n\underline{-4=4a+b} \n-12=6a \n(-12)/(6)=a \na=-2 \n \n-8=2a-b \n-8=2 * (-2)-b \n-8=-4-b \n-8+4=-b \n-4=-b \nb=4$

The function is:
$\boxed{y=-2x^2+4x-4}$

What is the center of the circle x² + y2 - 16 = 0?

Answers

Answer:

(0,0)

Step-by-step explanation:

x^2+y^2=4^2

center: (0,0)

radius=4

PLEASE HELP !!!!!!!!!

Answers

Answer: bottom one I think

Step-by-step explanation:

Which of the following is a factor of 3x3 + 18x2 + 27x?9x

x3

x + 3

x - 3

Answers

Hello,

Answer C

3x^3+18x²+27x= 3x(x²+6x+9)=3x(x+3)²

Answer:

x + 3

Step-by-step explanation:

when you factor the expression, the answer is 3x(x+3)^2

not 9x (because of 3x^3)

not x^3 (b/c of 27x)

not x - 3

have a wonderful day!!!!!

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