. Which expression has a value of 6? *

Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total on 7 shirts, how many of ea

Alexandra [31]

5 plain shirts and 2 fancy shirts

5 0

3 years ago

1. Amanda tells you that because a variable is in the denominator, the equation three over x plus one over three equals five ove

Hunter-Best [27]

Answer: x = 6

Step-by-step explanation:

$\dfrac{3}{x}+\dfrac{1}{3}=\dfrac{5}{6}$

$(6x)\dfrac{3}{x}+(6x)\dfrac{1}{3}=(6x)\dfrac{5}{6}$ multiplied by common denominator

18 + 2x = 5x

-2x -2x

18 = 3x

÷3 ÷3

6 = x

Since "x" is in the denominator, the restriction is that x ≠ 0. If the solution was x = 0, then the solution would not be valid and would be eliminated as an answer.

Remember that "x" is just an unknown value. It is possible to add two fractions together and have their sum be a fraction.

For example: $\dfrac{1}{5} + \dfrac{2}{5} = \dfrac{3}{5}$ could be written as $\dfrac{1}{5} + \dfrac{2}{x} = \dfrac{3}{5}$ . When we solve it, we will get x = 5.

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Answer: Edward

Step-by-step explanation:

$f(x)=\dfrac{(x-1)(x+2)(x+4)}{(x+1)(x-2)(x-4)}$

The denominator cannot equal zero, so:

x + 1 ≠ 0 → x ≠ -1
x - 2 ≠ 0 → x ≠ 2
x - 4 ≠ 0 → x ≠ 4

Those x-values are the asymptotes, which is where the function is undefined.

4 0

4 years ago

Giovanni justifies whether the expression -4x-8 is equivalent to -2(x+1)-2(x+3) by letting x=3 in both expressions. What is the

Lorico [155]

Answer:

The value of each expression when x=3 will be -20 and -20.

Step-by-step explanation:

Given the expression

-4x-8

setting x=3

= -4(3)-8

=-12-8

=-20

Given the expression

-2(x+1)-2(x+3)

setting x=3

=-2(3+1)-2(3+3)

=-2(4)-2(6)

=-8-12

=-20

so we conclude that the value of both the expressions was -20 when we substituted the value x=3.

Therefore, the value of each expression when x=3 will be -20 and -20.

3 0

3 years ago

ANSWER I ADDED EXTRA POINTS BUT ANSWER RIGHT AND EXPLAIN YOUR ANSWER!!!! 2 QUESTIONS...

Sophie [7]

Answer:

24) D

25) D

Step-by-step explanation:

24) D

We want to find the equation of a line (in slope-intercept form) that passes through (2, -2) and is perpendicular to $y=\frac{2}{5}x+2$ .

First, let's find the slope of our new line.

Remember that perpendicular slopes are negative reciprocals of each other.

Therefore, to find the slope of our new line, we will flip our old slope and add a negative.

Therefore, the slope of our new line is -5/2.

Now, we can use the point-slope form:

$y-y_1=m(x-x_1)$

Where m is the slope and (x₁, y₁) is a point.

So, let's substitute -5/2 for our slope and (2, -2) for our point (x₁, y₁). This yields:

$y-(-2)=-\frac{5}{2}(x-2)$

Simplify:

$y+2=-\frac{5}{2}(x-2)$

Let's convert this to slope-intercept form. Distribute the right:

$y+2=-\frac{5}{2}x+5$

Subtract 2 from both sides. So, our equation is:

$y=-\frac{5}{2}x+3$

Our answer is D.

25)

We know that the cost for buying x items is given by the function:

$C(x)=6x$

We also know that the items are sold in packages of 10 only. And no one can buy more than 5 packages. In other words, we can buy 0, 1, 2, 3, 4, or 5 packages.

So, let's see how much it will be if we buy 0 packages. This will just be:

$C(0)=6(0)=\$0$

If we buy 1 package, there will be 10 items in them. So:

$C(10)=6(10)=\$60$

If we do this for 2 packages (20 items), 3 packages (30 items), and so on, we will get:

$C(20)=6(20)=\$120\\C(30)=6(30)=\$180\\C(40)=6(40)=\$240\\C(50)=6(50)=\$300$

So, our range is:

$\{0, 60, 120, 180, 240, 300\}$

The correct answer is D.

And we're done!

4 0

3 years ago

Solve for x ... please help

Mrac [35]

Answer:

$7x + 49 \degree = 2x + 94\degree \\ 7x - 2x = 94\degree - 49 \degree \\ 5x = 45\degree \\ x = \frac{45}{5} \\ x = 9 \\ check \\ 7(9) + 49 = 112\degree \\ 2(9) + 94 = 112\degree$

5 0

3 years ago