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Leni [432]
3 years ago
8

Solve for the inequality ?

Mathematics
1 answer:
iren2701 [21]3 years ago
4 0
|x|\leq3\\
x\leq 3 \wedge x\geq-3\\
x\in[-3,3]
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A rectangle has a length that is 9 feet less than four times its width. Its area is 90 square feet
kramer

Answer:

The length of rectangle is 15\ ft

The width of rectangle is 6\ ft

Step-by-step explanation:

Let

x-----> the length of rectangle

y----> the width of rectangle

we know that

The area of rectangle is equal to

A=xy

A=90\ ft^{2}

so

90=xy -----> equation A

x=4y-9 -----> equation B

substitute equation B in equation A and solve for y

90=(4y-9)y

4y^{2}-9y-90=0

using a graphing calculator

The solution is

y=6\ ft

Find the value of x

x=4y-9  -----> x=4(6)-9=15\ ft

5 0
4 years ago
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
MissTica

A number line ranges from minus 5 to 5 with increment of 1 unit. Left, Point F is plotted on the number line at minus 3. Right, point G is plotted on the number line at 1.50, then the distance between F and G is 4.50.

Calculating the Distance between F and G:

It is given that, on a number line,

Point F is located at -3

Point G is at 1.50

Since, 1.5 > (-3) and each number is at a 1 unit difference form the adjacent number on the number line,

The difference between F and G = 1.50 - ( -3 )

This implies that the distance between F and G = 1.50 + 3

= 4.50 units

The numbers lying between the points F and G on the number line are: -2, -1, 0, and 1

Learn more about a number line here:

brainly.com/question/13189025

#SPJ1

3 0
2 years ago
HELP!! NEED TODAY!!<br><br> Find the value of x in each case.
Juliette [100K]

Answer:

x = 14

Step-by-step explanation:

∠ DCA and ∠ BCF are adjacent angles and sum to 180° , then

∠ DCA = 180° - 124° = 56°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

6x is an exterior angle , then

6x = 2x + 56 ( subtract 2x from both sides )

4x = 56 ( divide both sides by 4 )

x = 14

7 0
3 years ago
Write the equation of the line parallel to x = -16 and passes through the point (9, -10).
nekit [7.7K]
Parallel lines has equal slopes.
Line x = -16 is a vertical line.
Equation of vertical line is given by x = x1

Required equation is x = 9
3 0
3 years ago
Write an equivalent expression for 1/y1/4 using positive exponents
Evgen [1.6K]

Answer:

y^¼

Step-by-step explanation:

when exponents are negative, it becomes a fraction with the positive exponent, thus having this answer

7 0
3 years ago
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