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vladimir2022 [97]
3 years ago
9

Rounded to nearest tenth

Mathematics
1 answer:
Alex787 [66]3 years ago
3 0

Answer:

92.9

Step-by-step explanation:

  5 15

96.5

- 3.6

-------

92.9

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You have two jobs. one job pays $8 per hour and the other pays $6 per hour. you worked 20 hours total last week and earned $136.
wel
The question being the case, the equation is: 8x + 6y = 136.
Where x is the number of hours spent on job A and y is the number of house spent on job B. Now to solve for both variables.
Notice that if you add x and y, you should get a total of 20 hours so x + y = 20.
To get x, x = 20 - y. Replace the answer on the original equation gives you 8(20-y) + 6y = 136. 
160 - 8y + 6y = 136
160 - 2y = 136
-2y = 136 - 160
-2y = -24
<span>Solve for y by dividing both sides of this equation by -2 to get y:
y = 12
Replace y on the x + y = 20 equation to get x.
x + 12 = 20
x = 20 = 12
x = 8

Therefore:
x = 8 hours on job A
y = 12 hours on job B

Hope this helps!</span>
7 0
3 years ago
2(x-1) greater than -12
Flauer [41]
2(x-1)>-12
/2           /2
x-1>-6
 +1  +1
x>-5
5 0
3 years ago
Read 2 more answers
Paul got a ping pong table for his birthday. It measures 2x − 3 feet by 3x +2 feet. He is looking to purchase a cover. Which of
azamat

Answer:

6x2 − 5x − 6 square feet

6 0
3 years ago
Consider the parabola given by the equation: f(x) = 4x² - 6x - 8 Find the following for this parabola: A) The vertex: Preview B)
jeyben [28]

Answer:

The vertex: (\frac{3}{4},-\frac{41}{4} )

The vertical intercept is: y=-8

The coordinates of the two intercepts of the parabola are (\frac{3+\sqrt{41} }{4} , 0) and (\frac{3-\sqrt{41} }{4} , 0)

Step-by-step explanation:

To find the vertex of the parabola 4x^2-6x-8 you need to:

1. Find the coefficients <em>a</em>, <em>b</em>, and <em>c </em>of the parabola equation

<em>a=4, b=-6, \:and \:c=-8</em>

2. You can apply this formula to find x-coordinate of the vertex

x=-\frac{b}{2a}, so

x=-\frac{-6}{2\cdot 4}\\x=\frac{3}{4}

3. To find the y-coordinate of the vertex you use the parabola equation and x-coordinate of the vertex (f(-\frac{b}{2a})=a(-\frac{b}{2a})^2+b(-\frac{b}{2a})+c)

f(-\frac{b}{2a})=a(-\frac{b}{2a})^2+b(-\frac{b}{2a})+c\\f(\frac{3}{4})=4\cdot (\frac{3}{4})^2-6\cdot (\frac{3}{4})-8\\y=\frac{-41}{4}

To find the vertical intercept you need to evaluate x = 0 into the parabola equation

f(x)=4x^2-6x-8\\f(0)=4(0)^2-6\cdot 0-0\\f(0)=-8

To find the coordinates of the two intercepts of the parabola you need to solve the parabola by completing the square

\mathrm{Add\:}8\mathrm{\:to\:both\:sides}

x^2-6x-8+8=0+8

\mathrm{Simplify}

4x^2-6x=8

\mathrm{Divide\:both\:sides\:by\:}4

\frac{4x^2-6x}{4}=\frac{8}{4}\\x^2-\frac{3x}{2}=2

\mathrm{Write\:equation\:in\:the\:form:\:\:}x^2+2ax+a^2=\left(x+a\right)^2

x^2-\frac{3x}{2}+\left(-\frac{3}{4}\right)^2=2+\left(-\frac{3}{4}\right)^2\\x^2-\frac{3x}{2}+\left(-\frac{3}{4}\right)^2=\frac{41}{16}

\left(x-\frac{3}{4}\right)^2=\frac{41}{16}

\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}

x_1=\frac{\sqrt{41}+3}{4},\:x_2=\frac{-\sqrt{41}+3}{4}

4 0
3 years ago
20 PTS PLEASE HELP ASAP!
gtnhenbr [62]

Answer:

Slope is 1/2

Step-by-step explanation:

Use the slope formula. Say S = the 1st point and T = the 2nd point.

m = 20 - 10                    10                 1

     ------------      =      -----------    =      ---

      20 - 0                     20                2

The equation for slope is also y = mx + b

m is the slope, b is the y-intercept.

Therefore, if you look at the 1st choice, you can see that 1/2 is in the place of m, meaning that 1/2 is the slope of line ST

I dunno how to do the other way

7 0
3 years ago
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