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spayn [35]
3 years ago
8

Complete the square to solve the equation below.

Mathematics
1 answer:
IceJOKER [234]3 years ago
7 0
I believe it’s D. X=2
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What is the common denominator of 1/a + 1/b in the complex fraction 1/a - 1/b over 1/a+1/b?
9966 [12]

Answer:

For this case we have the following fraction:

To find the common denominator, what we must do is rewrite the fraction.

For this, we subtract fractions in the numerator and the sum of fractions in the denominator.

We have then:

We observe that the common denominator is given by the product:

Answer:

the common denominator is:

D)ab

Step-by-step explanation:

4 0
2 years ago
Is this answer right?
lubasha [3.4K]

Solve using the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction)

REMEMBER: IF NOT APPLICABLE TO THE EQUATION YOU MAY SKIP THAT STEP IN PEMDAS .

3(8 - 2) + 4 = 22

Parentheses...

(15 - 6)² ÷ 3 - 3³

15 - 6 = 9

(9)² ÷ 3 - 3³

Exponent....

9² ÷ 3 - 3³

In this case you have two exponents. Always apply the steps from left to right

9² ÷ 3 - 3³

9² = 81

81 ÷ 3 - 3³

3³ = 27

81 ÷ 3 - 27

Division...

81 ÷ 3 - 27

81 ÷ 3 = 27

27 - 27

Subtraction...

27 - 27 = 0

0

<u>Your mistake: </u>

You subtracted 3 - 27 before dividing 81 by 3. Remember that according to the rules of PEMDAS division must come before subtraction

Hope this helped!

~Just a girl in love with Shawn Mendes

5 0
3 years ago
Read 2 more answers
How many ounces of pure gold and a 16 carry the old change and it weighs 2.5 ounces
sladkih [1.3K]
Make sure the question is stated clearly
5 0
3 years ago
If f(x)=4x-7 and g(x)=2x+4 evalvate f(x)+g(x) for x=-3
galben [10]

Answer:

-21

Step-by-step explanation:

We are told to find f(x) + g(x) for x= -3. Therefore, we must evaluate f(-3) and g(-3), then add them together.

First, evaluate f(-3).

f(x)=4x-7

To find f(-3), we need to substitute -3 in for x.

f(-3)= 4(-3)-7

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction First, multiply 4 and -3.

f(-3)= -12-7

Next, subtract 7 from -12

f(-3)= -19

Next, find g(-3).

g(x)=2x+4

To find g(-3), substitute -3 in for x.

g(-3)= 2(-3)+4

Solve according to PEMDAS. First, multiply 2 and -3.

g(-3)= -6+4

Next, add -6 and 4

g(-3)= -2

Now, we can add f(-3) and g(-3) together.

f(-3) + g(-3)

f(-3)= -19

g(-3)= -2

-19 + -2

Add

-21

7 0
3 years ago
Read 2 more answers
The diameter of steel rods manufactured on two different extrusion machines is being investigated. Two random samples of sizes
devlian [24]

Answer:

(a) There is no evidence to support the claim that the two machines produce rods with different mean diameters.

P-value is 0.818

(b) 95% confidence interval for the difference in mean rod diameter is (-0.17, 0.27).

This interval shows that the difference in mean is between -0.17 and 0.27.

Step-by-step explanation:

(a) Null hypothesis: The two machines produce rods with the same mean diameter.

Alternate hypothesis: The two machines produce rods with different mean diameter.

Machine 1

mean = 8.73

variance = 0.35

n1 = 15

Machine 2

mean = 8.68

variance = 0.4

n2 = 17

pooled variance = [(15-1)0.35 + (17-1)0.4] ÷ (15+17-2) = 11.3 ÷ 30 = 0.38

Test statistic (t) = (8.73 - 8.68) ÷ sqrt[0.38(1/15 + 1/17)] = 0.05 ÷ 0.218 = 0.23

degree of freedom = n1+n2-2 = 15+17-2 = 30

Significance level = 0.05 = 5%

Critical values corresponding to 30 degrees of freedom and 5% significance level are -2.042 and 2.042.

Conclusion:

Fail to reject the null hypothesis because the test statistic 0.23 falls within the region bounded by the critical values -2.042 and 2.042.

There is no evidence to support the claim that the two machines produce rods with different mean diameters.

Cumulative area of test statistic is 0.5910

The test is a two-tailed test.

P-value = 2(1 - 0.5910) = 2×0.409 = 0.818

(b) Difference in mean = 8.73 - 8.68 = 0.05

pooled sd = sqrt(pooled variance) = sqrt(0.38) = 0.62

Critical value (t) = 2.042

E = t×pooled sd/√n1+n2 = 2.042×0.62/√15+17 = 0.22

Lower limit of difference in mean = 0.05 - 0.22 = -0.17

Upper limit of difference in mean = 0.05 + 0.22 = 0.27

95% confidence interval for the difference in mean rod diameter is between a lower limit of -0.17 and an upper limit of 0.27.

3 0
4 years ago
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