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3 years ago

7

Solve x2 + 8x = 33 by completing the square. Which is the solution set of the equation?

2 answers:

MAVERICK [17]3 years ago

8 0

Answer:

x= 33/10

Step-by-step explanation:

andrezito [222]3 years ago

6 0

Answer:

{-11,3}

Step-by-step explanation:

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Given the rule: an=7(1/2)n-1 identify the first term

Shkiper50 [21]

Answer:

using the rule given: 2.5
using an exponential rule: 7

Step-by-step explanation:

Evaluating the linear rule given, for n = 1, we have ...

a1 = 7(1/2)(1) -1 = 7/2 -1 = 5/2 = 2.5

_____

We suspect you may intend the exponential function ...

an = 7(1/2)^(n-1)

Then, for n = 1, we have ...

a1 = 7(1/2)^(1 -1) = 7(1) = 7 . . . . the first term is 7

_____

When writing an exponential expression in plain text, it requires the exponential operator, a caret (^). If the exponent contains any arithmetic, as this one does, it must be enclosed in parentheses.

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4 years ago

David can paint a fence in ten hours. Alex can paint the same fence in eight hours. If

xxTIMURxx [149]

Answer:

40/9

Step-by-step explanation:

Use the work formula, $\frac{1}{A}$ + $\frac{1}{B}$ = $\frac{1}{T}$ , where A is the amount of time it takes one person, B is the amount of time it takes another person, and T is the time it takes for them to work together.

Plug in the times for David and Alex alone:

$\frac{1}{10}$ + $\frac{1}{8}$ = $\frac{1}{T}$

Find the least common denominator, which is 40.

$\frac{4}{40}$ + $\frac{5}{40}$ = $\frac{1}{T}$

$\frac{9}{40}$ = $\frac{1}{T}$

Cross multiply and solve for T:

9T = 40

T = 40/9

So, if they worked together, it would take them 40/9 hours

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3 years ago

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neonofarm [45]

Answer:

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*or not :)

Step-by-step explanation:

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3 years ago

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If you drove 60 miles in two hours, how many miles per hour did you drive?<br><br> 30 miles per hour

soldi70 [24.7K]

Answer:

30 mph

Step-by-step explanation:

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3 years ago

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A Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer; a sample

8090 [49]

Answer:

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given first random sample size n₁ = 500</em>

Given Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer.

<em>First sample proportion </em>

<em> </em> $p^{-} _{1} = \frac{65}{500} = 0.13$

<em>Given second sample size n₂ = 700</em>

<em>Given a sample of 700 men (unrelated to the women) ages 18-29 found that 133 men said that they had the most say when purchasing a computer.</em>

<em>second sample proportion </em>

<em> </em> $p^{-} _{2} = \frac{133}{700} = 0.19$

<em>Level of significance = α = 0.05</em>

<em>critical value = 1.96</em>

<u><em>Step(ii)</em></u><em>:-</em>

<em>Null hypothesis : H₀: There is no significance difference between these proportions</em>

<em>Alternative Hypothesis :H₁: There is significance difference between these proportions</em>

<em>Test statistic </em>

<em></em> $Z = \frac{p_{1} ^{-}-p^{-} _{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }$ <em></em>

<em>where </em>

<em> </em> $P = \frac{n_{1} p^{-} _{1}+n_{2} p^{-} _{2} }{n_{1}+ n_{2} } = \frac{500 X 0.13+700 X0.19 }{500 + 700 } = 0.165$ <em></em>

<em> Q = 1 - P = 1 - 0.165 = 0.835</em>

<em></em> $Z = \frac{0.13-0.19 }{\sqrt{0.165 X0.835(\frac{1}{500 } +\frac{1}{700 } )} }$ <em></em>

<em>Z = -2.76</em>

<em>|Z| = |-2.76| = 2.76 > 1.96 at 0.05 level of significance</em>

<em>Null hypothesis is rejected at 0.05 level of significance</em>

<em>Alternative hypothesis is accepted at 0.05 level of significance</em>

<u><em>Conclusion:</em></u><em>-</em>

<em>There is there is a difference between these proportions at α = 0.05</em>

3 0

3 years ago