In the function f(x) = 5(x2 − 4x + ____) + 15, what number belongs in the blank to complete the square

Answers

Answer 1

Answer: The number that would make the expression in the parentheses a perfect square is obtained by dividing the absolute value of the second term by 2 and the numerical coefficient of the first term then square the obtained number. In the given, the numerical coefficient of the first term is 1. Dividing the 4 by 1 and 2 will give 2. Squaring 2 will give four. Thus, the missing number is 4.

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I really need help!! this is for the end of year assessment and i have to get this last one right so i don't have an F in math.Sierra and Alek each have five cousins. Their ages are listed below.

Sierra’s cousins: 2, 11, 12, 13, 15
Alek’s cousins: 9, 11, 11, 12, 13

Which of the following statements is true?
A.For both sets of data, the median is equal to the mean.
B.The ages of Sierra's cousins are more spread out than those of Alek's cousins.
C.The mean age of Sierra's cousins is greater than that of Alek's cousins.
D.There are no outliers.

Answers

Answer: B: The ages of Sierra's cousins are more spread out than those of Alek's cousin.

Can y’all please help

Answers

Given: f(x) = 2x^2 +5sqrt(x-2)

Evaluate this for x=6:

f(6) = 2(6)^2 + 5sqrt(6-2) = 72 + 5(2) = 72 + 10 = 82 (answer)

1. Find x, the missing
side length in the right
triangle.
36
77

Answers

Answer:

x=41

Step-by-step explanation:

Final answer:

To find the missing side length in a right triangle, use the Pythagorean theorem. In this case, the missing side length is approximately 74.92.

Explanation:

To find the missing side length in a right triangle, you can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, we have one side length given as 36 and another side length given as 77. Let's label the missing side length as 'x'. Using the Pythagorean theorem, we can write the equation:

x^2 = 77^2 - 36^2

Solving this equation, we get x ≈ 74.92 (rounded to two decimal places).

Learn more about Pythagorean theorem here:

brainly.com/question/19649203

#SPJ2

Write another way to group the factors then find the product (3×2×4

Answers

Another way to group the factors can be like this:

6 x 4
8 x 3
12 x 2

The product regardless would be 24.

What is (-8)(-8)(-1)?

Answers

-64, using the negative times negative equals positive and negative times anything else = negative rule, you get -64

by multiplying -8 (-8) you get 64. then 64 (-1) equals -64

The mass of a tiger at a zoo is 135 kilograms. Randy's cat has a mass of 5,000 grams. How many times greater is the mass of the tiger than the mass of Randy's cat?

Answers

27
convert 135 kilograms into grams and you get 135,000 and then divide that number by 5,000 and get 27

the answer is 100 times greater i guess idk that other person will tell you

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