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ozzi
1 year ago
10

Can someone help please 3x-y=13 A. (6,5) B.(3,-4) C. (6,5) and (3,-4) D. neither

Mathematics
2 answers:
Katen [24]1 year ago
8 0

Answer: c

Step-by-step explanation:

lol

gavmur [86]1 year ago
6 0

Answer:

C. (6, 5) and (3, -4)

Step-by-step explanation:

Given the equation 3x - y = 13, we need to figure out which points satisfy it. In order for an ordered pair to satisfy an equation, when we plug the x-coordinate in for x and the y-coordinate in for y, the equation should hold true.

Let's try with (6, 5):

3x - y = 13

3 * 6 - 5 =? 13

18 - 5 =? 13

13 = 13

Since this is true, we know that (6, 5) is indeed a solution.

Now let's try with (3, -4):

3x - y = 13

3 * (3) - (-4) =? 13

9 + 4 =?13

13 = 13

Again, since this is true, then (3, -4) must be a solution.

Thus, the answer is C.

<em>~ an aesthetics lover</em>

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Find the x- and y-intercepts of the graph of the linear equation.<br> 2x+3y=12
Arisa [49]

Answer:

y intercept: (0, 4); x intercept: (6, 0)

Step-by-step explanation:

to find the x and y intercepts of the line we can plug numbers in

we can turn x into 0 to find the y intercept

2(0) + 3y = 12

0 + 3y = 12

y = 4

this means that your y intercept is (0, 4)

then we can turn y into 0 to find the x intercept

2x + 3(0) = 12

2x + 0 = 12

x = 6

this means that your x intercept is (6, 0)

4 0
1 year ago
Sean earns $8.50 per hour and made a total of $80.75 today. How many hours did he work?
Vesnalui [34]

Answer: 9.5 hours

In order to solve this, you must divide his total (80.75) by his hourly wage (8.50) When you do that, you get 9.5, so he worked 9.5 hours

Step-by-step explanation:

3 0
2 years ago
Which equation is the inverse of y = 9x2 - 4?
m_a_m_a [10]

Answer:

The inverse will be:

y' = \frac{\sqrt{x+4}}{3}

Step-by-step explanation:

In order to find the inverse of the equation, we do a variable change, since we are finding the inverse, :

f(x)  = 9x^{2} - 4

y = 9x^{2} - 4

x = 9y' ^{2} - 4

Now solve for y'.

First add 4 in both sides of the equation and change to the left y'.

x + 4= 9y'^{2} - 4+4

9y'^{2} = x + 4

Second divide by 9

9y'^{2}/9 = (x + 4)/9

y'^{2} = (x + 4)/9

Now you will have to clear y, with the square root.

[tex]y'^{\frac{2}{2}} = \sqrt{x + 4}  / \sqrt{9}[/tex] =

Simplifying terms

y' = \frac{\sqrt{x+4}}{3}

f^{-1}(x)  = \frac{\sqrt{x+4}}{3}

You can check the answer by doing the evaluation of the following equation:

(f o f^{-1} ) (x)

substitute the equation for y' or inverse function f^{-1}

f(\frac{\sqrt{x+4} }{3})

Now substitue the value into f(x)

You will have

= 9(\frac{\sqrt{x+4} }{3}} )^{2}  - 4\\\\Solving\\\\9(\frac{{x+4} }{9}} )  - 4

=x

5 0
2 years ago
A bowling alley has a fixed base cost and charges a variable per game rate. It costs $20.50 for five games and 28.50 for nine ga
lbvjy [14]


As ordered pairs ( g , C ) where g is the number of games and C is the cost

( 5, 20.50) and ( 9, 28.50)

the slope M = ( 28.50 - 20.50 ) / (9-5)

= 8/4

= 2

So the slope M=$2 per game

Using (5, 20.50)
The intercept B = y - m* g
= 20.50 - 2 * 5
= 20.50 - 10
= 10.50

So the fixed base cost, or FLAT RATE is $10.50.
That is if they played ZER0 games, they still have
to pay $10.50 just to get in.

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8 0
2 years ago
Complete a piecewise function that describes the graph.
trapecia [35]

Answer:

y=\left \{ \begin{array}{l}-x^2-4x-1,\ x

Step-by-step explanation:

Left part of the graph is the graph of the parabola passing through the points (-2,3), (-3,2) and (-4,-1). If the equation of the parabola is y=ax^2+bx+c, then

3=a\cdot (-2)^2+b\cdot (-2)+c\Rightarrow 3=4a-2b+c\\ \\2=a\cdot (-3)^2+b\cdot (-3)+c\Rightarrow 2=9a-3b+c\\ \\-1=a\cdot (-4)^2+b\cdot (-4)+c\Rightarrow -1=16a-4b+c

Subtract first two equations  and last two equations:

-1=5a-b\\ \\-3=7a-b

Suybtract these two equations:

-2=2a\Rightarrow a=-1

So -1=5\cdot (-1)-b\Rightarrow b=-5+1=-4

Substitute into the first equation:

3=4\cdot (-1)-2\cdot (-4)+c\Rightarrow c=3+4-8=-1

The equation of the parabola is y=-x^2-4x-1

The right part of the graph is translated 1 unit to the right and 1 unit down graph of the function y=\dfrac{1}{2}|x|, so it has the equation y=\dfrac{1}{2}|x-1|-1

Hence, the piece-wise function is

y=\left \{ \begin{array}{l}-x^2-4x-1,\ x

6 0
2 years ago
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