MATHEMATICS HIGH SCHOOL

-(4x - 7) + 1 = 2 (5 - 2x) solve for x

Answers

Answer 1

Answer:

Answer:

No solution

Step-by-step explanation:

-(4x - 7) + 1 = 2(5 - 2x)

-4x + 7 + 1 = 10 - 4x

-4x + 8 = 10 - 4x

-4x + 8 ≠ -4x + 10

No solution

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What are the slope and y-intercept of the line of best fit on this scatterplot

Answers

Answer:

A. The y-intercept is 8 and the slope is $-(4)/(3)$

Step-by-step explanation:

The point where line meets y-axis is called the y-intercept.

So, y-intercept = (0, 8)

Slope is the direction of line and it is calculated as,

$Slope = (y_(2)-y_(1))/(x_(2)-x_(1))$

where (x₁, y₁) and ( x₂, y₂) are any two points on the line.

Let (x₁, y₁) = (0, 8) and (x₂, y₂) = (6, 0)

∴ $Slope = (0-8)/(6-0)$

⇒ $Slope = -(4)/(3)$

Hence, Option (A) is correct.

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PLEASE AND THANK YOU

Answers

Answer:

Step-by-step explanation:

If Sonya buys four pairs of shoes, each on a buy one get one 50% off, that means that we can find the value if she bought ONE deal of buy one get 50% off one, then multiply that by 2 (as if you do the deal, you are paying for two.)

The shoe costs $35, and if we have a 50% discount on it:

$35\cdot0.5=17.5$

So the cost of the shoe ON DISCOUNT is 17.50, however the first pair still stays the same.

So the cost of two pairs of shoes using the discount is $35+17.5 = 52.5$

So four pairs cost $52.5\cdot2 = 105$

However, there is a tax of 6.5%

So we can multiply 105 by 1.065 to get the cost after tax.

$105\cdot1.065=111.825$

This simplifies down to 111.83.

Hope this helped!

In the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-point shots. In the second half, the player scored the same number of 3-point shots as the number of 2-point shots scored in the first half. Which expression represents the total number of points the player scored in the game?2x + 3x + 9
2x + 3 + 9
2x + 3x + 9x
2 + 3x + 9

Answers

Answer:

$2x+3x+9$

Step-by-step explanation:

In first half,

Let number of 2-point shots=x

Points scored on free throws=9

Point scored in x number of 2-point shots=2x

In second half,

Number of 3-point shots=number of 2-point shots in first half=x

Point scored in x number of 3-point shots=3x

Therefore, the player scored total number of points in the game is given by

$2x+3x+9$

Hence, the expression which represents the total number of points scored by player in the game is given by

$2x+3x+9$

Answer:A

Step-by-step explanation:

2x + 3x + 9

Write an equation of a line with the given slope and y-intercept. m = –2, b = 4

Answers

Answer:

$y=-2x+4$

Step-by-step explanation:

The given data is

$m=-2$

$b=4$

Where $m$ is the slope of the line and $b$ is the y-intercept. So, basically this line has a slope of -2 and y-intercept at 4.

To find its equation, we use the slope-interception form

$y=mx+b$

Then, we replace each given value

$y=-2x+4$

Therefore, the equation for the given line is

$y=-2x+4$

y= -2x+4 m represents the x value and b the y intercept

The first five batters on a softball team’s lineup have the following numbers of hits for the season: 83, 71, 68, 62, 61. What is the mean number of hits for these five players?