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scoray [572]
3 years ago
10

Solve the following equation algebraically. Represent your answer in simplest radical form, if necessary.

Mathematics
1 answer:
maria [59]3 years ago
7 0
x^2 + x = 30\\\\x^2 + x - 30=0\\\\x^2+6x-5x-30=0\\\\x(x+6)-5(x+6)=0\\\\(x+6)(x-5)=0\\\\x+6=0\ \ \ \ \ \ or\ \ \ \  \ \ x-5=0\\\\x=-6\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=5
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Which point on the graph is the solution to the system of linear equations? -2x=-y+4 x=-2
Elodia [21]

Answer:

The solution is (-2, 0)

Step-by-step explanation:

Re-write -2x=-y+4 x=-2 in column form:

x=-2

-2x=-y+4

Next, substitute -2 for x in the second equation:

-2(-2) = -y + 4, or:

4 = -y + 4.  Thus, y must be 0.

The solution is (-2, 0)

4 0
3 years ago
The number of measles cases increased 13.6 % to 57 cases this year, what was the number of cases prior to the increase? (Express
ELEN [110]

Answer:

The number of cases prior to the increase is 50.

Step-by-step explanation:

It is given that the number of measles cases increased by 13.6% and the number of cases after increase is 57.

We need to find the number of cases prior to the increase.

Let x be the number of cases prior to the increase.

x + 13.6% of x = 57

x+x\times \frac{13.6}{100}=57

x+0.136x=57

1.136x=57

Divide both the sides by 1.136.

\frac{1.136x}{1.136}=\frac{57}{1.136}

x=50.176

x\approx 50

Therefore the number of cases prior to the increase is 50.

7 0
3 years ago
1) Omar has scored 85, 71, and 77 on the first three exams in his math class. If the standard 70,80,90 scale is used for grades
Rus_ich [418]

Answer:

a. 47

b. 87

c. 127

Step-by-step explanation:

Assume a total of 4 exams ( first 3 plus a final)

Let final score be X,

Hence,  average score = (85 + 71 + 77 + x) / 4 = (233 + x) / 4

a) to get a C, the average score must be 70

70 = (233 + x) / 4

(233 + x) = 70 (4) = 280

x = 280 - 233 = 47 (Ans)

b) to get a B, the average score must be 80

80 = (233 + x) / 4

(233 + x) = 80 (4) = 320

x = 320 - 233 = 87 (Ans)

c) to get a A, the average score must be 90

90 = (233 + x) / 4

(233 + x) = 90 (4) = 360

x = 360 - 233 =  127 (Ans)

6 0
3 years ago
Jenna used a probability simulator to roll a 12-sided number cube 100 times. Her results are shown in the table below:
Setler79 [48]

Answer:

The answer is 89 over 100!

Step-by-step explanation:

I have already said this but i saw it again so decided to help again!

<3

4 0
3 years ago
Please do the equation and cost for 15 people
Lunna [17]

Answer:

24

Step-by-step explanation:

Because the C represents the 4 let 24 represent the answer.

8 0
2 years ago
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