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3 years ago

10

PLEASE ANSWER FAST AND CORRECTLY, WORTH 74 POINTS!!!! An architect built a scale model of a sports stadium using a scale in whic

h 3 inches represents 45 feet. The height of the sports stadium is 180 feet. What is the height of the scale model in inches?

1 answer:

Marina86 [1]3 years ago

3 0

It is 12 inches long

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Use interval notation to express the set of real numbers x that satisfies the inequality (x+2)(x-5) < 0.

azamat

The interval notation to express the set of real numbers <u>x</u> that satisfies the given inequality is -2<x<5. You also can represent it as (-2,5)

<h3>Inequality</h3>

It is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).

The solutions for inequalities can be given by: a graph in a number line or numbers.

For solving this exercise, it is necessary to find a number solution for the given inequality.

First, you should find the critical points of the inequality.

x+2=0

x = -2

and

x-5=0

x=5

Write, the intervals in between critical points. Therefore, -2<x<5.

Read more about inequalities here.

brainly.com/question/25275758

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8 0

2 years ago

A high school will graduate 100 students. of these, 52 students plan to attend college.

marishachu [46]

A total of 48 students will not go to college

8 0

4 years ago

What is the greatest common factor of 9x^{2}y9x 2 y and 5x^{4}y^{2}5x 4 y 2 ?

Musya8 [376]

ANSWER

The greatest common factor is
${x}^{2} y$

EXPLANATION

We want to find the greatest common factor of

$9 {x}^{2} y$

and

$5 {x}^{4} {y}^{2}$

The prime factorizations are;

$9 {x}^{2} y = {3}^{2} \times {x}^{2} \times y$

and

$5 {x}^{4} {y}^{2} = 5 \times {x}^{4} \times {y}^{2}$

The product of the least powers of the common factors is the greatest common factor.

$= {x}^{2} y$

7 0

4 years ago

A landscaper has enough cement to make a patio with an area of 150 Sq ft. The homeowner wants the length of the patio to be 6 ft

Natasha_Volkova [10]

$A=lw=150\\l=w+6\\(w+6)w=150\\w^2+6w=150\\w^2+6w-150=0\\w=\frac{-b+-\sqrt{b^2-4ac}}{2a}\\w=\frac{-(6)+-\sqrt{(6)^2-4(1)(-150)}}{2(1)}\\w=\frac{-6+-\sqrt{36+600}}{2}\\w=\frac{-6+-\sqrt{636}}{2}\\w=\frac{-6+-2\sqrt{159}}{2}\\w=-3+-\sqrt{159}>0\\w=-3+\sqrt{159}\\\\l=(-3+\sqrt{159})+6\\l=3+\sqrt{159}$

Width = -3 + sqrt(159)
Length = 3 + sqrt(159)

4 0

3 years ago

What is the domain and range of y+3=2^x

Bad White [126]

Answer: y>-3 and x is all real numbers

5 0

3 years ago