MATHEMATICS HIGH SCHOOL

Which of the following is an equivalent form of the compound inequality -22 > -5x - 7 ≥ -3? -5x - 7 < -22 and -5x - 7 ≥ -3

-5x - 7 > -22 and -5x - 7 ≥ -3

-5x > -22 and -7 ≥ -3

-5x - 7 < -22 and -5x - 7 ≤-3

Answers

Answer 1

Answer: -22 > -5x - 7 ≥ -3
-5x - 7 < -22 and -5x - 7 ≥ -3

Answer 2

Answer:

Answer:

The Answer is D. −5x − 7 < −22 and −5x − 7 ≤ −3

Hope This Helps!

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Question:In the equation P = 2x + 7, P represents the price, in dollars, of tickets to a concert x hours after they go on sale. When will the price exceed $20.00?1. Describe in words how the equation can be used to solve the problem.2. Draw a graphical representation of the price equation, and illustrate how a solution could be found that way.

An instructional video is 1.8 minutes long. How long is the video in seconds? How long is it in hours?

Answers

Answer:

108 seconds and 0.03 hours

A telephone company offers two plans with per-minute charges. Plan A involves a monthly rental of $12, and call charges at 7¢ per minute. Plan B involves a monthly rental of $15, and call charges at 5¢ per minute.Write an inequality in terms of the number of minutes which shows when Plan A is less expensive than Plan B. Solve the inequality, showing the steps in your work.

Answers

Answer:

$12+0.07x< 15+0.05x$

Step-by-step explanation:

Let x be the no. of minutes

Plan A

Monthly rental = $12

Call charges for 1 minute = 7¢

1 cents = 0.01 dollars

So, Call charges for 1 minute = $0.07

Call charges for x minutes = 0.07 x

Total cost of Plan A = 12+0.07x

Plan B

Monthly rental = $15

Call charges for 1 minute = 5¢

1 cents = 0.01 dollars

So, Call charges for 1 minute = $0.05

Call charges for x minutes = 0.05 x

Total cost of Plan B = 15+0.05x

An inequality in terms of the number of minutes which shows when Plan A is less expensive than Plan B= $12+0.07x< 15+0.05x$

Solving the inequality :

$0.07x-0.05x< 15-12$

$0.02x< 3$

$x<(3)/(0.02)$

$x<150$

So, the no. of minutes must be less than 150 for Plan A to be less expensive than Plan B

Hence an inequality in terms of the number of minutes which shows when Plan A is less expensive than Plan B is $12+0.07x< 15+0.05x$

7m+12<5m+15
7m-5m+12<5m-5m+15
2m+12<15
2m+12-12<15-12
2m<3
2m/2<3/2
m<3/2

Arrange the graphs in descending order (from highest to lowest) based on the values of their correlation coefficients. -graph A
-graph B
-graph C
-graph D

___>___>___>___

Answers

basically, the closer they fit to the imaginary line of best fit, the higher they are

the closer the dots are to the imaginary line, te higher the number

D looks the closest together so that is first
A is a little farther apart
C is farther
B is farthers

DACB is order

Answer:

D,A,C,B

Step-by-step explanation:

So I need a little help here... I just learn this and I'm horrible at math :( Please state each steps clearly and explain them too (if you can, if not it's ok) Thanks!

Answers

$y = \sqrt{ (5x+3)/(x-5) }$
$y^(2) = (5x+3)/(x-5)$
Transpose the equation to eliminate any fractions:
$y^(2)(x-5) = 5x+3$
Expand the brackets:
$x y^(2) - 5 y^(2) = 5x+3$
Put x terms on one side and the others on the other side:
$xy^(2) - 5x = 5y^(2)+3$
Factorise to take x out of the terms:
$x(y^(2) - 5) = 5 y^(2) +3$
Transpose to leave only x on the left hand side of the equation:
∴ $x = (5 y^(2) + 3 )/( y^(2) -5 )$

PLSSS!!!!! HELP ME!!!! I WILL MARK U!!! MATH!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Step 1: Define

bc² - b

b = 2

c = -5

Step 2: Substitute and Evaluate

Substitute: 2(-5)² - 2
Exponents: 2(25) - 2
Multiply: 50 - 2
Subtract: 48

Answer:

Step-by-step explanation:

Hello,

$bc^2-b=b(c^2-1)\n \n\text{So for b = 2 and c = -5} \n\n2* ((-5)^2-1)=2* (25-1)=2* 24 = 48$

Thanks

Graph 4x^2 + y^2 = 9. What are its lines of symmetry?

Answers

4 x² + y² = 9 / : 9
x² / (9/4) + y² / 9 = 1
This is an ellipse. Equation is: x²/a² + y²/b² = 1
a² = 9/4 ⇒ a = 3/2
b² = 9 ⇒ b = 3
The axis of symmetry are the x and y axis, or the lines: y = 0 and x = 0.
Graph is in the attachment.

The lines of symmetry for the graph of equation 4x² + y² = 9 are the x-axis and the y-axis.

To determine the lines of symmetry of the graph of equation 4x² + y² = 9, we need to analyze the form of the equation.

The given equation represents an ellipse, as it contains terms for both x² and y².

Comparing this with the given equation 4x² + y² = 9, we can rewrite it as:

(2x)²/3² + y²/3² = 1

By comparing the equations, we can deduce that a² = 3² and b² = 3². This means that the major axis has a length of 2a = 2(3) = 6 and the minor axis has a length of 2b = 2(3) = 6.

Since the ellipse is symmetric with respect to both the x-axis and the y-axis, there are two lines of symmetry.

Learn more about ellipses here:

brainly.com/question/9448628

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