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Brums [2.3K]
3 years ago
12

"10 \frac{1}{2} \div 1 \frac{1}{4} " alt="10 \frac{1}{2} \div 1 \frac{1}{4} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
MrRissso [65]3 years ago
7 0
10 1/2 divided by 1 1/4 is 8 4/10
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Solutions of x2 + 13x + 30 = 0 by factoring.
VMariaS [17]

Answer:

x = -10 or x = -3

Step-by-step explanation:

Here, the given equation is

x^{2}  + 13x + 30 = 0

The given equation can be solved by the method of SPLITTING THE MIDDLE TERM

Split 13 in such a way that sum of the terms = 13

and product of the terms = 30

So, the given equation becomes x^{2}  + 10x + 3x + 30 = 0

Here, 10x+ 3x = 13x and 10 x 3 = 30

Now, simplifying the equation,

x(x+10) + 3(x + 10) = 0 \\(x+3) (x+10) =0

⇒ either (x+ 10) = 0 ,or (x+ 3) = 0

⇒ x = -10 or x = -3

4 0
3 years ago
2 Examine the graph shown below. 1 2 1 3 2 Enter the slope of the line.​
exis [7]

Answer:

4/5 or 0.8

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Solve by inspection: X+4=15
amid [387]

x + 4 = 15

- 4        -4

x = 11

You would subtract 4 because you need to isolate the x to get the value of x. You would subtract it to both sides because whatever you do on one side, you have to do it to the other side.

7 0
4 years ago
Read 2 more answers
Betty sets up a lemonade stand and charges $1 per glass. It cost her $50 to set up the stand. Which function gives the profit, p
Maksim231197 [3]
If you would like to find the function that gives the profit Betty makes by selling a number of glasses of lemonade, you can find this using the following steps:

p ... profit
g ... glasses of lemonade

f(g) = p = g * $1 - $50

The correct result would be f(g)<span> = g * $1 - $50.</span>
5 0
3 years ago
Read 2 more answers
The average income, I, in dollars, of a lawyer with an age of x years is modeled with the following function:
Alinara [238K]
The answer is 37 years old.

I = -425x² + 45500x -650000
I = 450000

-425x² + 45500x -650000 = 450000
-425x² + 45500x - 650000 - 450000 = 0
-425x² + 45500x - 1100000 = 0

Divide all factors by 25:
- 17x² + 1820x - 44000 = 0

This is quadratic equation (ax² + bx + c = 0)
x_{1,2} = \frac{-b+/- \sqrt{ b^{2}-4ac } }{2a} = \frac{-1820+/- \sqrt{ 1820^{2}-4*(-17)*(-44000) } }{2*(-17)} = \\  \\ = \frac{-1820+/- \sqrt{3312400-2992000 } }{-34} = \frac{-1820+/- \sqrt{320400} }{-34} =\frac{-1820+/- 566}{-34}  \\  \\ &#10;x_1= \frac{-1820+ 566}{-34}= -37 \\  \\ &#10;x_2 = \frac{-1820- 566}{-34}=70

Since, the youngest age is needed, the correct answer is x = 37
3 0
3 years ago
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