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3 years ago

3.3.4 practice: modeling: factoring ax2+bx+c

Mathematics

1 answer:

deff fn [24]3 years ago

3 0

I think it should be x(ax +b) + c. Not sure though.

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maximize P=9x+9y Subject to 2x+y is less than or equal to 30 x+2y is less than or equal to 24 x, y is greater than 0 What is the

Inga [223]

Find the intersection point between the 2 restraint equations:
$30 - 2x = 12 - \frac{1}{2} x \\ \frac{3}{2} x = 18 \\ x = 12$

Substitute back in to find y-value:
$y = 30 - 2(12) = 6$

P is maximized at point (12,6)
$P = 9(12)+9(6) = 162$

3 0

3 years ago

Is an estimate for the percent of a number always,sometimes or never greater than actual percent of the number

posledela

It would be sometimes because it can be 82.2% but if you round it the closest one would be 80% if it was 84.7% its closer to 85 so it would be 85% I hope I helped you out rate the answer if I got it right thanks!

3 0

3 years ago

birth weights in norway are normally distributed with a mean of 3570 g and a standard deviation of 500g. if the hospital officia

Svetradugi [14.3K]

Answer:

2630 g

Step-by-step explanation:

From the given information:

Given that:

mean (μ) = 3750 g

Standard deviation (σ) = 500

Suppose the hospital officials demand special treatment with a percentage of lightest 3% (0.03) for newborn babies;

Then, the weight of birth that differentiates the babies that needed special treatment from those that do not can be computed as follows;

P(Z < z₁) = 0.03

Using the Excel Formula; =NORMSINV(0.03) = -1.88

z₁ = - 1.88

Using the test statistics z₁ formula:

$z_1 = \dfrac{X-\mu}{\sigma}$

$-1.88 = \dfrac{X-3570}{500}$

By cross multiply, we have:

-1.88 × 500 = X - 3570

-940 = X - 3570

-X = -3570 + 940

-X = -2630

X = 2630 g

Hence, 2630 g is the required weight of birth that differentiates the babies that needed special treatment from those that do not

6 0

3 years ago

26 There is a special offer at the book shop.

Inessa [10]

10.8/12 x 100 = 90%
So he saves 10%
Add the expensive ones that equals 10.80 and then add all them together which gives you £12 you put 10.80 over 12 and multiply by 100 to find the percentage you have and then minus that from 100 which will give you your answer of 10%

6 0

2 years ago

Which math expression represents the phrase?

fiasKO [112]

"The sum of a number and 7"
Sum implies addition.
We would write this part as n + 7.

Then we would write the "9 times" part in like this:
9 · (n + 7)
We can't write just 9 · n + 7 without the parentheses, because then we would be multiplying just 9 and n instead of 9 and the sum of n and 7. (order of operations says we must do multiplication first)

5 0

3 years ago