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4 years ago

What's 6 3/4 × 3 4/5

Mathematics

2 answers:

tankabanditka [31]4 years ago

6 0

$6 \frac{3}{4} *3 \frac{4}{5}$ is equal to 25.65 or $25 \frac{13}{20}$ or even $\frac{513}{20}$

dlinn [17]4 years ago

4 0

The easier way to multiply mixed numbers is to turn them into improper fractions. 6 3/4 as an improper fraction is 27/4, and 3 4/5 as an improper fraction is 20/5. 27/4 x 20/5. There is some cancelling that can be done here, so you divided 20 from 20/5 and 4 from 27/4, which leaves it at 20/1 x 5/5 = 135/5.
Now you're left with a big improper fraction, and this can be simplified. Divide 135 by 5, which is 27. And there you have it. The answer is a whole number. Hope this helps! :)

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Part b) The function’s equation written in factored form is equal to

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Step-by-step explanation:

Part a) What is the function’s equation written in vertex form?

we know that

The equation of a vertical parabola written in vertex form is equal to

$f(x)=a(x-h)^2+k$

where

a is a coefficient

(h,k) is the vertex

Looking at the graph

The vertex is the point (2,-8)

substitute

$f(x)=a(x-2)^2-8$

Find the value of the coefficient a

take one point from the graph

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substitute in the equation

$0=a(0-2)^2-8\\0=4a-8\\4a=8\\a=2$

therefore

The function’s equation written in vertex form is

$f(x)=2(x-2)^2-8$

Part b) What is the function’s equation written in factored form?

we know that

The equation of a vertical parabola written in factored form is equal to

$f(x)=a(x-x_1)(x-x_2)$

where

a is a coefficient

x_1 and x_2 are the zeros or x-intercepts of the function

Remember that the x-intercept is the value of x when the value of the function is equal to zero

Looking at the graph

The zeros or x-intercepts of the function are

x=0 and x=4

$f(x)=a(x-0)(x-4)$

$f(x)=ax(x-4)$

Find the value of the coefficient a

take one point from the graph

(2,-8)

substitute

$-8=a(2)(2-4)\\-8=-4a\\a=2$

therefore

The function’s equation written in factored form is equal to

$f(x)=2x(x-4)$

4 0

4 years ago

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mr Goodwill [35]

Answer:

The perimeter of the new rectangle in simplified expression can be given as:

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Step-by-step explanation:

The question is incomplete.

The actual question should be:

A rug maker is using a patter that is a rectangle with a length of 96 inches and a width of 60 inches. The rug maker wants to increase each dimension by a different amount. Let l and w be the increases in inches of the length and width. write and simplify an expression for the perimeter of the new pattern.

Solution:

Original length of the rectangular pattern = 96 inches

Original width of the rectangular pattern = 60 inches

Let increase in length be = $l$ inches