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2 years ago

Find (f(x+h)-f(x))/(h) for the given function. f (x) = 5x2 - 6x + 4

Mathematics

1 answer:

Tema [17]2 years ago

6 0

Answer: 5h + 10x -6

Step-by-step explanation:

if we plug f(x) into the equation we get:

$\frac{[5(x+h)^2 - 6(x+h) + 4] - [5x^2 - 6x + 4]}{h}$

now from here we can simplify:

$\frac{5x^2 + 5h^2 + 10xh - 6x - 6h + 4 - 5x^2 + 6x - 4}{h}$

now add liked terms

$\frac{5h^2 + 10xh - 6h}{h}$

cancel what we can:

5h + 10x - 6

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Semenov [28]

Answer:

3/13(shade in 3)

Step-by-step explanation:

Make 52 denominators because it's of all cards. Next, find how many face cards there are for the numerator(3x4 since there are 3 face cards for each set and there are 4 sets) this gives you 12 and your fraction is now 12/24

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8 0

2 years ago

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Write a function g whose graph is a horizontal shrink by a factor of 1/3

mote1985 [20]

Answer:

g(x) = 6|x + 1| - 2

-----------------------------------------

Given:

Function f(x) = 2|x + 3| - 2

Find a function g which is a horizontal shrink by a factor of 1/3 of f(x).

Horizontal shrink by a factor of k is:

g(x) = f(x/k)

Apply this to the given function:

g(x) = f(x : 1/3) = f(3x) = 2|3x + 3| - 2 = 6|x + 1| - 2

7 0

7 months ago

Find the perimeter of a quadrilateral with vertices at C (−2, 1), D (2, 4), E (5, 0), and F (1, −3).

antoniya [11.8K]

The perimeter of the quadrilateral with vertices at C (−2, 1), D (2, 4), E (5, 0), and F (1, −3) is 20units.

Option C) is the correct answer.

<h3>What a quadrilateral?</h3>

A quadrilateral is simply a polygon with four sides, four angles, and four vertices.

To get the perimeter, we simply add the values of the four side.

Given that;

The vertices are at C (−2, 1), D (2, 4), E (5, 0), and F (1, −3).

To get the dimension between the given coordinates, we use;

d = √((x2 -x1)² +(y2 - y1)²)

For length CD, DE, EF and FC

CD = √((2 - (-2))² + (4 - 1)²) = √( 16+9) = √25 = 5

DE = √((5 - 2)² + (0 - 4)²) = √( 9+16) = √25 = 5

EF = √((1 - 5)² + (-3 - 0)²) = √( 16+9) = √25 = 5

FC = √((-2 - 1)² + ( 1 - (-3))²) = √( 9+16) = √25 = 5

Perimeter of the quadrilateral = CD + DE + EF + FC

Perimeter of the quadrilateral = 5 + 5 + 5 + 5

Perimeter of the quadrilateral = 20units

Therefore, the perimeter of the quadrilateral with vertices at C (−2, 1), D (2, 4), E (5, 0), and F (1, −3) is 20units.

Option C) is the correct answer.

Learn more about area of rectangle here: brainly.com/question/27612962

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1 year ago

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(Apex 2.2.4 math 8)

Gennadij [26K]

Answer: D

Step-by-step explanation: slope = "rise over run" = 1.5/18 = 3/36 = 1/12 for the 1st section to the landing

slope is the change in height, the vertical change, divided by the change in horizontal distance

2nd section has slope 1/18 and covers 9 feet. That means it rises 1/2 foot

slope = 1/18 = (1/2)/9

the door is 2 feet higher than the ground level, 1.5 + .5 = 2 feet change vertically

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2 years ago

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In a classroom 12 students are wearing glasses, while 6 are not. What percent of the students are wearing glasses? Explainnn

ASHA 777 [7]

Answer:

66,666666666666666666666666666666666667% :))

Step-by-step explanation:

total number of students in 1 class: 12 + 6 = 18 students

percentage of student wearing glasses are:

$\frac{12}{18} \times 100 = 66.666666667\%$

Done :))

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2 years ago