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3 years ago

Solve this equation 6(4.5y-12)=9

Mathematics

1 answer:

irinina [24]3 years ago

6 0

6(4.5y - 12) = 9

(4.5y - 12) = 9/6

4.5y - 12 = 1.5

4.5y = 1.5 + 12

4.5y = 13.5

y = 13.5/4.5

y = 3

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

12345 [234]

Answer:

19

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 19.

4 0

2 years ago

PLZ HELP!! A baseball has a diameter of 7.4 centimeters. Which of the following is closest to the surface area of the baseball?

Fynjy0 [20]

SA=4pir^2

d/2=r
d=7.4
7.4/2=3.7
SA=4pi3.7^2
SA=4pi13.69
SA=54.76pi
pi=3.14 for this question
SA=171.9464

closest one is B
172 cm^2

B IS ANSWER

6 0

3 years ago

Simplify the expression by combining like terms. 16+8a−3a+6b−9

Svetradugi [14.3K]

7+5a+6b is the answer because 16-9 is 7 and 8-3 is 5.

4 0

3 years ago

Read 2 more answers

the temper ire of chicken soup is 192.7 F as it cools the temperature of the soup decreases 2.3 what is the temperature of the s

ad-work [718]

The temperature of soup after 25 minutes is $135.2^{\circ}\ F$

Solution:

The temperature of chicken soup is 192.7°F

As it cools, the temperature of the soup decreases 2.3°F per minute

Let the initial temperature be $T_0$

Let "t" be the time for rate of decrease

Set up an equation

Temperature = Initial temperature - decrease in temperature

Decrease in temperature = rate of decrease x time

Therefore,

$T = T_0-2.3t$

To find the temperature of soup after 25 minutes, substitute t = 25

$T = 192.7 - 2.3 (25)\\\\T = 192.7 -57.5\\\\T = 135.2$

Thus the temperature of soup after 25 minutes is $135.2^{\circ}\ F$

5 0

2 years ago

A local pizzeria offers 14 toppings for their pizzas and you can choose any 5 of them for one fixed price. How many different ty

Ne4ueva [31]

$C(14,5)=\dfrac{14!}{5!9!}=\dfrac{10\cdot11\cdot12\cdot13\cdot14}{2\cdot3\cdot4\cdot5}=2002$

6 0

2 years ago