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3 years ago

PLZ HELP ME! Solve for f h=4f

Mathematics

1 answer:

Mrrafil [7]3 years ago

8 0

The answer is f = h/4
you take the 4 and divide it by h then you get h/4 = f switch it around and you get f = h/4

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If f(x)=x^3-12x^2+35x-24f(x)=x 3 −12x 2 +35x−24 and f(8)=0f(8)=0, then find all of the zeros of f(x)f(x) algebraically.

Neporo4naja [7]

Answer:

The zeros of f(x) are: (x - 1), (x - 3) and (x - 8)

Step-by-step explanation:

Given

$f(x)=x^3-12x^2+35x-24$

$f(8) = 0$

Required

Find all zeros of the f(x)

If $f(8) = 0$ then:

$x = 8$

And $x - 8$ is a factor

Divide f(x) by x - 8

$\frac{f(x)}{x - 8} = \frac{x^3-12x^2+35x-24}{x - 8}$

Expand the numerator

$\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 -8x^2 + 3x + 32x - 24}{x - 8}$

Rewrite as:

$\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 + 3x - 8x^2 +32x - 24}{x - 8}$

Factorize

$\frac{f(x)}{x - 8} = \frac{(x^2 - 4x + 3)(x - 8)}{x - 8}$

Expand

$\frac{f(x)}{x - 8} = \frac{(x^2 -x - 3x + 3)(x - 8)}{x - 8}$

Factorize

$\frac{f(x)}{x - 8} = \frac{(x - 1)(x - 3)(x - 8)}{x - 8}$

$\frac{f(x)}{x - 8} = (x - 1)(x - 3)$

Multiply both sides by x - 8

$f(x) = (x - 1)(x - 3)(x - 8)$

Hence, the zeros of f(x) are: (x - 1), (x - 3) and (x - 8)

7 0

2 years ago

Which statement is true about the given information ?

solniwko [45]

Yes!! the line AED is cut with a perpendicular line. The rule for perpendicular lines is that the angles made =90.

-This can also be proven by the fact that lines =180, 90+90=180

7 0

3 years ago

PLEASE ANSWER FAST! you dont have to explain but im trusting on u have a good day

JulsSmile [24]

Answer:

126 square inches

Step-by-step explanation:

The area of the figure = area of the parallelogram + area of the square + area of the rectangle

✔️Area of the parallelogram = b*h

b = 10 in.

h = 3.5 in.

Area = 10*3.5

Area = 35 in.²

✔️Area of the square = s²

s = 4 in.

Area = 4²

Area = 16 in.²

✔️Area of the rectangle = L*W

L = 12.5 in.

W = 6 in.

Area = 12.5*6

Area = 75 in.²

✅Area of the figure = 35 + 16 + 75

= 126 in.²

8 0

2 years ago

Which symbol correctly compares the two angle measures?

Vlad [161]

I think the answer is b

7 0

3 years ago

A group of students volunteered to finish a task in 25 days .1 Q of students did not come n the work could b completed in 35 day

SpyIntel [72]

Answer:

p=7Q/2

Step-by-step explanation:

Original number of students:

p students to do 1 job in 25 days.

Let r= the rate for 1 student.

pr*25=1

pr*25=1 is the work rate equation for p students.

Lesser number of students:

p-Q students came to do the job and time required was 35 days.

(P-Q)*r*35=1.

The unknowns are p, Q and r

Equate the original number of students and the lesser number of students

pr*25=(P-Q)*r*35

25rp=35rp - 35Qr

Collect like terms

25rp-35rp = -35Qr

Divide both sides by -5

-5rp+7rp=- 7rp

It can be re written as

7rp-5rp=-7Qr

2rp=7Qr

Make p the subject of the formula

p=7Qr/2r

p=7Q/2

p=7Q/2 is the original number of students

-10rp = -35Qr

The system of these two equations can be solved for p. See the THREE unknown

variables, p, r, and Q. You might assume that either r or Q would be a constant.

5 0

2 years ago