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Oliga [24]
3 years ago
13

What are the roots of the equation? x2−x−42=0 Enter your answers in the boxes.

Mathematics
1 answer:
Levart [38]3 years ago
8 0

Answer:

x = 7  x = -6

Step-by-step explanation:

x^2−x−42=0

Factor

What two numbers multiply to -42 and add to -1

-7*6 = -42

-7+6 = -1

(x-7) (x+6) =0

Using the zero product property

x-7 =0   x+6 =0

x = 7  x = -6

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2 years ago
A number increased by 4 is the same as 19 minus 2 times the number
ElenaW [278]

Hello from MrBillDoesMath!

Answer:

n = 5


Discussion:

Let the original number be "n"  Translating the problem  statement to mathematical symbolism:

n + 4 = 19 - 2n                   =>  add 2n to both sides

n + 2n + 4 = 19 - 2n + 2n  =>  combine like terms

3n + 4 = 19                        => subtract 4 from both sides

3n = 19 -4  = 15                 => divide both sides by 3

n = 15/3 =5


Check: Does 5 +4 = 19 - 2(5)? Does 9 = 9? Yes. so the value for n is confirmed correct.


Thank you,

MrB

6 0
3 years ago
Draw the graph of linear equation 2x - 3y + 7 - 0) and hence find the coordinates of the point when the
kow [346]

Answer:

The line crosses the x-axis at the point (-3.5,0).

8 0
2 years ago
Suppose that your net income for the month is $1,500 and that your total expenses are $2,500
Aleks [24]

Answer:

You will need to double your net income in order to make a profit.

Step-by-step explanation:

1500 x 2 = 3000 - 2500 = 500 which is 500 dollars profit

6 0
3 years ago
The endpoints of a side of rectangle ABCD in the coordinate plane are at A(1,4) and
andrew-mc [135]

Answer:

<em>y = - x + 5 </em>

Step-by-step explanation:

A(1, 4)

B(4, 1)

m_{AB} = \frac{1-4}{4-1} = - 1

y - 1 = - 1 ( x - 4 )

<em>y = - x + 5</em>

6 0
3 years ago
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