MATHEMATICS HIGH SCHOOL

A textbook company will ship a box of textbooks to college students. The weight of the box in pounds can be determined by the function w(x) = 7.5x + 2, where x is the number of textbooks in the box. The company requires a student to order at least 2 books but not more than 6 books. What is the range of the function for this situation? *A. 2 ≤ x ≤ 6
B. 17 ≤ y ≤ 47
C. {17, 24.5, 32, 39.5, 47}
D. {2, 3, 4, 5, 6}

Answers

Answer 1

Answer:

The range of the function for this situation is 17 ≤ w ≤ 47

An equation is an expression used to show the relationship between two or more variables.

Let x represent the number of textbooks in the box

The company requires a student to order at least 2 books, hence:

x ≥ 2.

w(2) = 7.5(2) + 2 = 17

Also they do not require more than 6 books, hence:

x ≤ 6

w(6) = 7.5(6) + 2 = 47

The range of a function is the set of possible dependent variables.

Hence, the range of the function for this situation is 17 ≤ w ≤ 47

Find out more on range at: brainly.com/question/14145389

Answer 2

Answer:

Answer:

I think its D

Step-by-step explanation:

It's obviously not A, because A has an x instead of y. B makes no sense because the range is 2-6. C makes no sense. D is the only logical answer.

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Step-by-step explanation:

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Answer:

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A landscaper is designing a flower garden in the shape of a trapezoid. She wants the shorter base to be 3 yards greater than the height and the longer base to be 7 yards greater than the height. She wants the area to be 295 square yards. The situation is modeled by the equation h^2 + 5h = 295. Use the Quadratic Formula to find the height that will give the desired area. Round to the nearest hundredth of a yard. A: 17.36 yards
B: 600 yards
C: 14.86 yards
D: 29.71 yards

Answers

Answer:

The height is 14.86 yards ⇒ answer C

Step-by-step explanation:

* Lets explain how to solve the problem

- The flower garden in the shape of a trapezoid

- The shorter base to be 3 yards greater than the height

- The longer base to be 7 yards greater than the height

- The area must be 295 square yards

- The situation is modeled by the equation h² + 5h = 295

- We want to find the height that will give the desired area by using

the quadratic formula

- The quadratic formula is $h=\frac{-b+-\sqrt{b^(2)-4ac}}{2a}$ ,

where a is the coefficient of h² and b is the coefficient of h and c

is the numerical term

- The equation of the area is h² + 5h = 295

∵ h² + 5h = 295

- Subtract 295 from both sides

∴ h² + 5h - 295 = 0

- Lets find the values of a , b and c from the equation

∵ a = 1 , b = 5 , c = -295

∴ $h=\frac{-5+-\sqrt{(5)^(2)-4(1)(-295)}}{2(1)}$

∴ $h=(-5+-√(25+1180))/(2)$

∴ $h=(-5+√(1205))/(2)=14.86$

- OR

∴ $h=(-5-√(1205))/(2)=-19.86$

- The dimensions of any figure must be positive value, then we will

neglect the negative value of h

∴ h = 14.86

* The height is 14.86 yards

Answer:

C: 14.86 yards

Step-by-step explanation:

to solve a quadratic equation we need to make it equal to zero and then use the Quadratic Formula

$x= \frac{-b + \sqrt{b^(2)-4ac}}{2a} / \frac{-b - \sqrt{b^(2)-4ac}}{2a}$

having

$h^(2) +5h-295=0$

we have

a=1

b=5

c=-295

the answers for the formula are

h=14.85 and h=-17.36

as we are looking for a distance we can only take the positive answer, then

h=14.85

Determine the relationship between the two triangles and whether or not they can be proven to be congruent.

Answers

Same Question here answered by me correctly . Visit the link below for your answer

brainly.com/question/25009147?

Simplify the following expression. 4a^-2b

A.) b/4a^2
B.)4b/a^2
C.)1/4a^b2

Answers

ANSWER

The correct answer is B

$\frac{4b}{ {a}^(2) }$

EXPLANATION

The given exponential expression is

$4 {a}^( - 2) b$

We can rewrite this as,

$4b * {a}^( - 2)$

We need to simplify to obtain a positive index, so we apply the following property,

${a}^( - m) = \frac{1}{ {a}^(m) }$

This implies that,

$4b * {a}^( - 2) = 4b * \frac{1}{ {a}^(2) }$

This will finally simplify to,

$4b * {a}^( - 2) =\frac{4b}{ {a}^(2) }$

Therefore the correct answer is B

Answer:

B.)4b/a^2

Step-by-step explanation:

For fun questionfind the formula for how many items are in a 2 deimentional pyramid (each row is 1 more than previous row like in attachment) when you have n number of rows

n=number of rows
n,x means when you have n rows, you have x items in pyramid

n=1, 1
n=2, 3
n=3, 6
n=4, 10
n=5, 15

find the number of items when you have n number of rows
f(n)=something

SHOW ALL WORK AND LOGIC
NO GOOGLING TO FIND ANSWER OR JUST PUTTING THE ANSWER

Answers

We have an arithmetic progression:
an=number of item at row n

an=a₁+(n-1)d

d=common difference=an-a(n-1)=a₂-a₁=2-1=1
n=number of row

In this case:

an=1+(n-1)*1=n

The sum of an arithmetic serie is:
Sn=(a₁+an)n / 2

In this case:
a₁=1 (number of itms in the first row)
an=n (we have to calculate this before)

Sn=(1+n)n /2=(n+n²)/2

Therefore:
f(n)=Sn=number of items when we have n number of rows

f(n)=(n+n²)/2

Answer: f(n)=(n+n²)/2

To chek:

f(1)=(1+1²)/2=1
f(2)=(2+2²)/2=6/2=3
f(3)=(3+3²)/2=(3+9)/2=12/2=6
....

WALine segment WX is the radius of circle X, and line
segment ZY is the radius of circle Y. Points W, X, C, Y, and
Z are all on line segment WZ.
What is the area of circle C, which passes though points W
and Z?
X
O 81 T units?
10
O 164 TT units?
O 324 units?
O 1296 units
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