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3 years ago

384/84 = iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Mathematics

1 answer:

Verizon [17]3 years ago

3 0

Answer:

32/7, 4 4/7 or 4.57

Step-by-step explanation:

(384/84) ÷ (12/12) = (32/7)

to mixed number: 4 4/7

to decimal: 4.571429

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Can u help me ASAP. i need to know how to do it step by step

12345 [234]

Answer:

Step-by-step explanation:

$f(x) =4x^3-8x^2+ax+b$ has a factor $2x-1$ and

when divided by $x+2$ , remainder is 20.

To find:Remainder when divided by (x-1) ?

Solution:

$2x-1$ is a factor

$2x - 1 = 0 \Rightarrow x = \frac{1}{2}$ when we put this value of x to the function, it will become 0.

i.e.

$\Rightarrow f(\dfrac{1}{2}) =0 =4\times (\dfrac{1}2)^3-8(\dfrac{1}2)^2+\dfrac{a}{2}+b=0\\\Rightarrow \dfrac{1}{2}-2+\dfrac{a}{2}+b=0\\\Rightarrow 1-4+a+2b=0\\\Rightarrow a +2b=3 ......(1)$

Remainder is 20 when f(x) is divided by $x+2$

i.e.

$f(-2) =20$

$\Rightarrow f(-2) =20 =4\times (-2)^3-8(-2)^2-2a+b=20\\\Rightarrow -32-32-2a+b=20\\\Rightarrow -2a+b=84 ...... (2)$

Solving (1) and (2), Multiply equation (1) by 2 and adding to (2):

$5b=6+84\\\Rightarrow b = \dfrac{90}{5} = \bold{18}$

By equation (1):

$a+2(18) = 3\\\Rightarrow a = -33$

So, the equation becomes:

$f(x) =4x^3-8x^2-33x+18$

$\Rightarrow f(1) = 4(1) -8 (1) -33(1) +18 = \bold{19}$

So, when divided by (x-1), remainder will be <em>19</em>.

4 0

3 years ago

Lupe’s Construction is building a rectangular house that is 16 feet longer than it is wide. They will be putting a 3-foot wide s

mr Goodwill [35]

Answer:

The length of the four pieces of protective strip is 96 feet

Step-by-step explanation:

Let the w be the width of the rectangular house and L is length. Since L = w + 16, its perimeter P = 2(w + L)

= 2(w + w + 16)

= 2(2w + 16)

Since the perimeter of the house P = 136 feet,

136 = 2(2w + 16)

dividing through by 2, we have

136/2 = (2w + 16)

68 = (2w + 16)

collecting like terms, we have

68 - 16 = 2w

52 = 2w

dividing through by 2, we have

w = 52/2

w = 26 feet.

Now, since the side walk is 3 foot wide all around, the width of the house plus sidewalk = w + 3 and the length of the house plus sidewalk = L + 3 = w + 16 + 3 = w + 19.

So, the perimeter of the house plus sidewalk which is the perimeter of the four pieces of protective strip is P' = 2(w + 3 + w + 19)

= 2(w + 22)

= 2(26 + 22)

= 2(48)

= 96 feet

So, the length of the four pieces of protective strip is 96 feet.

5 0

4 years ago

Bailee had a gross income of $2358.33 during each pay period in 2009. If she got paid monthly, how much of her pay was deducted

wariber [46]

FICA is 6.2% of your gross compensation. To calculate the amount deducted for FICA, determine the gross compensation in 2009. In this problem, Bailee's gross income per month is $2358.33.

Yearly income:

$2358.33 * 12 months = $28,299.96

Thus, the FICA deduction is $1754.60

8 0

3 years ago

Read 2 more answers

A right triangle's height is 3 times the length of its base. if the area of the triangle is 486, what is the height?

Irina-Kira [14]

The formula of the area of a triangle:
$A_\Delta=\dfrac{bh}{2}$
b - the bash - the height
We have:
b - the base3b - the height486 - the area

Substitute:
$\dfrac{3b\cdot b}{2}=486\ \ \ |\cdot2\\\\3b^2=972\ \ \ |:3\\\\b^2=324\to b=\sqrt{324}\\\\b=16\to h=3b=3\cdot18=54$
Answer: The length of the height is equal 54 units.

4 0

3 years ago

What are the zeros of the quadratic function?

Xelga [282]

The zeroes are -3 and -4

3 0

3 years ago