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3 years ago

Help me with 11 and 12 please

Mathematics

1 answer:

djverab [1.8K]3 years ago

4 0

We can not see the rest of 12

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For what values of x is x2-36=5x true? 0 -9 and 4 04 and 9 4 and -9 09 and 4

ipn [44]

Answer:

x = - 4 and x = 9

Step-by-step explanation:

Given

x² - 36 = 5x ( subtract 5x from both sides )

x² - 5x - 36 = 0

Consider the factors of the constant term (- 36) which sum to give the coefficient of the x- term (- 5)

The factors are - 9 and + 4, since

- 9 × 4 = - 36 and - 9 + 4 = - 5, thus

(x - 9)(x + 4) = 0

Equate each factor to zero and solve for x

x - 9 = 0 ⇒ x = 9

x + 4 = 0 ⇒ x = - 4

6 0

3 years ago

A medical clinic is reducing the number of incoming patients by giving vaccines before flu season. During week 5 of flu season,

8_murik_8 [283]

Answer:

$f(x) = -6x +120$

Step-by-step explanation:

Let's call y the number of patients treated each week

Let's call x the week number.

If the reduction in the number of patients each week is linear then the equation that models this situation will have the following form:

$y = mx + b$

Where m is the slope of the equation and b is the intercept with the x-axis.

If we know two points on the line then we can find the values of m and b.

We know that During week 5 of flu season, the clinic saw 90 patients, then we have the point:

(5, 90)

We know that In week 10 of flu season, the clinic saw 60 patients, then we have the point:

(10, 60).

Then we can find m and b using the followings formulas:

$m=\frac{y_2-y_1}{x_2-x_1}$ and $b=y_1-mx_1$

In this case: $(x_1, y_1) = (5, 90)$ and $(x_2, y_2) = (10, 60)$

Then:

$m=\frac{60-90}{10-5}$

$m=-6$

And

$b=90-(-6)(5)$

$b=120$

Finally the function that shows the number of patients seen each week at the clinic is:

$f(x) = -6x +120$

7 0

3 years ago

Read 2 more answers

Please help if possible due in 20 minutes ❤️❤️ f(x) = x2. What is g(x)?

otez555 [7]

Answer:

c. g(x)=(1/2x^2)

Step-by-step explanation:

3 0

3 years ago

I HAVE 10 MIN LEFT CAN SOMEONE HELP ME WITH A FEW OF THESE OR ALL OF EM?

FinnZ [79.3K]

I will help you but I need to know what you need help with , find the area or volume?

4 0

3 years ago

This data set represents the number of cups of coffee sold in a caf_ between 8 a.m. and 10 a.m. every day for 14 days.

Elis [28]

Put numbers in order: 4,5,6,6,7,8,9,9,10,10,12,12,14,15

Cut the list into two equal parts: 4,5,6,6,7,8,9 and 9,10,10,12,12,14,15

Find middle numbers: 4,5,6,6,7,8,9 and 9,10,10,12,12,14,15

Lower quartile: 6
Upper quartile: 12

The difference of the values of the first and third quartiles of the data set is 12 - 6 = 6

5 0

3 years ago