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2 years ago

Given that f(x) = x^2 - 5x - 24 and g(x) = x - 8, find (f-g)(x) and express the result in standard form

Mathematics

1 answer:

maxonik [38]2 years ago

6 0

Answer: x^2 - 6x - 18

Step-by-step explanation:

(f-g)(x)=f(x)-g(x)=(x^2 - 5x - 24)-(x-8) = x^2 - 5x - 24 - x + 8 = x^2 - 6x - 18

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19. A cross section of a water trough is in the shape of trapezoid with bases measuring 4 m and 12 m. what is the length of the

ludmilkaskok [199]

Given:

The bases of trapezoid measuring 4 m and 12 m.

To find:

The median of the trapezoid.

Solution:

The median of the trapezoid is the average of its bases.

$\text{Median}=\dfrac{\text{Upper base + Lower base}}{2}$

The bases of trapezoid measuring 4 m and 12 m. So, the median of the trapezoid is:

$\text{Median}=\dfrac{4+12}{2}$

$\text{Median}=\dfrac{16}{2}$

$\text{Median}=8$

Therefore, the correct option is C.

5 0

3 years ago

The sum of 2 numbers is 38. one number is 10 more than the other.

son4ous [18]

Answer:

24, 14

Step-by-step explanation:

x + y = 38

x = 10 + y

You can substitute (10+y) into the top equation where the x is.

10 + y + y = 38

10 + 2y = 38

2y = 28

y = 14

Now plug 14 in for y in either equation to get x

x = 10 + 14

x = 24

8 0

3 years ago

12. Cr

Zigmanuir [339]

The converted the percentage to a decimal the wrong way.

Move the decimal point 2 places to the left.

6.5% as a decimal is 0.065

525.05 x 0.065 = 34.13

X = 34.13

4 0

3 years ago

Please answer this correctly

rewona [7]

Answer:

2/3

Step-by-step explanation:

There are 2 numbers out of 3 that fit the rule, 1 and 3. There is a 2/3 chance picking one of them.

3 0

3 years ago

Read 2 more answers

A bag of chips is 24 ounces. A serving size is 3/4 ounce. How many servings are in the bag of chips?

marysya [2.9K]

Answer:

The correct answer to the following question will be "32 servings".

Step-by-step explanation:

The given values are,

A bag of chips = 24 ounces

Serving size = 3/4 ounces

Servings = ?

Now,

On dividing "24 ounces" by "3/4 ounce", we get

⇒ $\frac{24}{\frac{3}{4}}$

⇒ $24\times \frac{4}{3}$

⇒ $8\times 4$

⇒ $32$

Thus, the bag of chips contains "32" servings.

4 0

3 years ago