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Mandarinka [93]
3 years ago
11

The first three steps for solving the quadratic equation by completing the square are shown. Fill in the missing number in the l

ast step.
9x2 +54x = 7

9(x2 + 6x) = 7

9(x2 + 6x + 9) = 7 +.?
Mathematics
2 answers:
gulaghasi [49]3 years ago
5 0
Completing the square is done as follows:

1. Write the equation in a way that the constants are in the right side while the terms with x are on the left. 
<span>9x2 +54x = 7
</span>
2. Make sure that the coefficient of the x^2 term is 1.
<span>9(x2 + 6x) = 7
</span>
3. Adding a term to both sides that will complete the square in the left side. This is done by dividing the coefficient of the x term by 2 and squaring it. Note: The same amount should be added to the right side to balance the equation.
<span>9(x2 + 6x + 9) = 7 + 81

9(x+3)^2 = 88
</span>
Westkost [7]3 years ago
4 0

Answer:

? = 81

Step-by-step explanation:

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it will be $1.50 (sure yan ah diyan joke)

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The average expenditure on Valentine's Day was expected to be $100.89 (USA Today, February 13, 2006). Do male and female consume
AfilCa [17]

Answer:

Yes. The male and female consumers differ in the amounts they spend.

Step-by-step explanation:

We can express the null and alternative hypothesis as:

H_0: \mu_m=\mu_w\\\\H_1:  \mu_m\neq\mu_w

It is assumed a significance level of 0.05.

The standard deviation of the difference of means is calculated as:

s=\sqrt{\frac{s_m^2}{n_m} +\frac{s_w^2}{n_w} } =\sqrt{\frac{35^2}{40} +\frac{20^2}{30} } =\sqrt{30.625+13.333} =\sqrt{43.958} =6.63

The test statistic is

t=\frac{(M_m-M_w)-0}{s}=\frac{135.67-68.64}{6.63}=10.11

The degrees of freedom are:

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5 0
3 years ago
Can you help me solve this please​
Lostsunrise [7]

9514 1404 393

Answer:

  180 days

Step-by-step explanation:

The formulas for the volume of a cone and a cylinder are ...

  V = πr²h . . . . . volume of a cone

  V = (1/3)πr²h . . . . . volume of a cylinder

Comparing these formulas, you can see that the 6' high cone at the top will have the same volume as a cylinder of the same radius that is 2' high. So, we can simplify the problem to finding the volume of a cylinder that is 66+2 = 68' high.

  V = π(12 ft)²(68 ft) = 9792π ft³ ≈ 30752.5 ft³

When the corn is used at the rate of 170 ft³/day, it will last ...

  (30752.5 ft³)/(170 ft³/day) ≈ 180.96 days

The corn will last 180 days.

_____

<em>Additional comment</em>

In scenarios like this, it is inappropriate to round up. There will be about 162 ft³ of corn left after 180 days, which is not enough for an additional day.

7 0
2 years ago
Find the value of x so that f(x)=7
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Answer:

-3

Step-by-step explanation:

7 0
3 years ago
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