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siniylev [52]
3 years ago
13

Perform the operation. (4x^2 + 6x + 7) - (-8x^2 – 2x + 6)

Mathematics
1 answer:
LenaWriter [7]3 years ago
8 0

12 {x}^{2}  + 8x + 1

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

(4 {x}^{2}  + 6x + 7) - ( - 8 {x}^{2}  - 2x + 6) \\  = 4 {x}^{2}  + 6x + 7 + 8 {x}^{2}  + 2x - 6 \\  = 4 {x}^{2}  + 8 {x}^{2}  + 6x + 2x + 7 - 6 \\  = 12 {x}^{2}  + 8x + 1

\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘

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The cost of a High Definition television now averages $700, but the cost is decreasing about 15% per year. In how many years wil
Roman55 [17]

Answer: 7.7 years

Step-by-step explanation:

Given

The cost of HD TV is $700 and it is decreasing at the rate of 15% per year

After one year it becomes

\Rightarrow 700-700\times 15\%\\\Rightarrow 700(1-0.15)

after 2 year it becomes

\Rightarrow 700(1-0.15)-700(1-0.15)\times 15\%\\\Rightarrow 700(1-0.15)(1-0.15)\\\Rightarrow 700(1-0.15)^2

Suppose, after x years it becomes $200

\Rightarrow 200=700(1-0.15)^x\\\\\Rightarrow \dfrac{2}{7}=0.85^x\\\\\text{Taking log both sides}\\\\\Rightarrow x=\dfrac{\ln (\frac{2}{7})}{\ln (0.85)}\\\\\Rightarrow x=7.7\ \text{years}

Thus, it takes 7.7 years for the cost to come under $200.

3 0
3 years ago
5 a. 32% of 881
ira [324]

Answer:

Hope these helps

Step-by-step explanation:

5 a. 32% of 881 = 281.92

5 b. 39% of 719 = 280.41

6 a. 35% of 441 = 154.35

6 b. 67% of 429 = 287.43

7 a. 21% of 358 = 75.18

7 b. 47% of 6 =2.82

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8 b.

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4 0
3 years ago
PLEASE HELP ME ASAP THIS IS A EXAM
Alexxx [7]

Answer:

Can't help if its an exam, check the honor code.

5 0
3 years ago
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Alona [7]
Answer:
3x^2 (y^5)^1/4 which is the first choice

Explanation:
The fourth root means that the bracket under has the root has a power of 1/4.
So, the given expression is:
(81 * x^8 * y^5)^1/4
Now, we will distribute the power as follows:
(81 * x^8 * y^5)^1/4 = (81)^1/4 * (x^8)^1/4 * (y^5)^1/4
                               = 3 * x^2 * y^5/4
This expression is equivalent to:
3x^2 (y^5)^1/4 which is the first choice

Hope this helps :)

8 0
4 years ago
Point B is on line segment AC. If AB = x + 6, BC = x + 8 and AC = 10, then find the value of x.
kumpel [21]

Step-by-step explanation:

this simply means that the sum of both short segments must be the same as the length of the whole line.

so,

x + 6 + x + 8 = 10

2x + 14 = 10

x + 7 = 5

x = 5 - 7 = -2

7 0
2 years ago
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