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max2010maxim [7]
3 years ago
13

2. Solve the quadratic by taking square roots. Write your answer with no spaces as x=a,-a where a and -a are the values you foun

d when solving. Round to the nearest tenth. 2x secondpower - 9 = 121​
Mathematics
1 answer:
natulia [17]3 years ago
6 0

Answer:

x=√65 and x=-√65

Step-by-step explanation:

Givn the expression 2x^2 - 9 = 121

Add 9 to both sides

2x^2 - 9 + 9 = 121 + 9

2x^2 = 130

Divide both sides b 2

2x^2/2 = 130/2

x^2 = 65

x = ±√65

x=√65 and x=-√65

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Noah bought 15 baseball cards for $9.00. Assuming that each baseball card costs the same amount, answer the following questions.
STatiana [176]

Answer:

270 dollars

Step-by-step explanation:

5 0
3 years ago
Four integers are consecutive terms of an arithmetic sequence. The sum of these four numbers is 24 and the product is 945.
Paraphin [41]

9514 1404 393

Answer:

  9

Step-by-step explanation:

The prime factorization of 945 is ...

  945 = 3³·5·7

suggesting the numbers are 3, 5, 7, 9. These have a sum of 24.

The largest of the integers is 9.

6 0
3 years ago
Which is the simplified form of the expression 3(7/5x+4) - 2(3/2 - 5/4x)?
Kruka [31]

Answer:

B. \frac{67}{10} x + 9

Step-by-step explanation:

Simplify the expression. Remember to go by the order of operations, or PEMDAS.

1) First, distribute the numbers outside of the set of parentheses to the terms inside the set of parentheses next to them. Then, simplify the fractions.

3(\frac{7}{5} x + 4) -2 (\frac{3}{2} -\frac{5}{4} x)

\frac{21}{5}x + 12  - \frac{6}{2} + \frac{10}{4} x

\frac{21}{5} x + 12 - 3 + \frac{10}{4} x

2) Finally, combine like terms. (This means to add or subtract constants and to add or subtract terms with the same variables.) You may need to convert terms to the same denominator in order to do so easier. Then, reduce the fraction.

\frac{21}{5} x + 9 + \frac{10}{4}x \\\frac{84}{20}x + \frac{50}{20}x + 9 \\\frac{134}{20}x + 9 \\\frac{67}{10}x + 9

Thus, the answer is \frac{67}{10} x + 9.

8 0
4 years ago
What is the factored form of x^2-x-2? ​
ipn [44]

Answer:

(x+1)(x-2)

Step-by-step explanation:

You can factor this by grouping.

x^2-x-2

\left(x^2+x\right)+\left(-2x-2\right)

x\left(x+1\right)-2\left(x+1\right)

\left(x+1\right)\left(x-2\right)

8 0
3 years ago
What is the general equation of a sine function with an amplitude of 6, a period of StartFraction pi Over 4 EndFraction, and a h
Katen [24]

Answer:

C: y = 6 \sin (8(x-\frac{\pi}{2} ))

Step-by-step explanation:

Amplitude is changed by multiplying the entire trig function by a number, by default the amplitude is 1, so multiplying by 6 is necessary; eliminate A and B

Horizontal shift is going through the x axis, so it must be subtracted from the x value. This is only seen in choice C of the remaining answers.

Calculating the period isn't necessary because we already found the right answer but in case you need it in the future; the period is by default 2pi, to get to pi/4, it had to be 8 times smaller, so multiplying x and translations on x by 8 will get you the correct period.

3 0
3 years ago
Read 2 more answers
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