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Romashka [77]
2 years ago
8

Help me out please!! will give out brainliest to first *correct answer!

Mathematics
1 answer:
Mkey [24]2 years ago
4 0

Answer:

1

Step-by-step explanation:

go to -4 on the x axis. it corresponds with 1 on the y axis.

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What is the following product? <br>(4x square root 5x^2 + 2^2 square root 6)^2​
tangare [24]

The product is 104 x^{4}+16 \sqrt{30} x^{4}

Explanation:

The given expression is \left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}

We need to determine the product of the given expression.

First, we shall simplify the given expression.

Thus, we have,

\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x \sqrt{5} x+2 x^{2} \sqrt{6}\right)^2

\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)^2

Expanding the expression, we have,

\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)

Now, we shall apply FOIL, we get,

\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}\right)^{2}+2 ( 2 x^{2} \sqrt{6})(4 x^{2} \sqrt{5})+\left(2 x^{2} \sqrt{6}\right)^{2}

Simplifying the terms, we have,

\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=16 \cdot 5 x^{4}+16 \sqrt{30} x^{4}+4 \cdot 6 x^{4}

Multiplying, we get,

\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=80 x^{4}+16 \sqrt{30} x^{4}+24 x^{4}

Adding the like terms, we get,

\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=104 x^{4}+16 \sqrt{30} x^{4}

Thus, the product of the given expression is 104 x^{4}+16 \sqrt{30} x^{4}

7 0
3 years ago
Answer this question pls!! (Will give Brainliest)
aev [14]

Answer:

first blank is 90/100

second blank is 145/100

Step-by-step explanation:

4 0
3 years ago
Gary deposits $1,500 into each of two savings accounts. Account I earns 5% annual simple interest. Account II earns 5% interest
hodyreva [135]

Answer:

  • $3623.26

Step-by-step explanation:

<u>Given</u>

  • Each deposit = $1500
  • Interest rate= 5%
  • Time = 4 years
  • Compound number = annual

<u>Simple interest account</u>

  • B = 1500*(1 + 4*0.05) = 1500*1.2 = $1800

<u>Compound interest account</u>

  • B = 1500*(1 + 0.05)^4 = $1823.26

<u>Total balance</u>

  • $1800 + $1823.26 = $3623.26

7 0
3 years ago
15 players two coaches and 21 parents attend this year sports banquet the cost of each meal was $12 +5% sales tax what was the t
Artist 52 [7]

Answer:

$478.80

Step-by-step explanation:

We have been given that 15 players two coaches and 21 parents attend this year sports banquet the cost of each meal was $12 plus 5% sales tax.

First of all, we will find cost of each meal with tax as:

\text{Cost of each meal with tax}=\$12+\$12\times \frac{5}{100}

\text{Cost of each meal with tax}=\$12+\$12\times 0.05

\text{Cost of each meal with tax}=\$12+\$0.6

\text{Cost of each meal with tax}=\$12.6

Now, we will find total persons at the sport banquet as:

\text{Total persons at banquet}=15+2+21

\text{Total persons at banquet}=38

To find the total cost of food for the banquet, we will multiply cost of food for each person by 38.

\text{Total cost of food for the banquet}=\$12.6\times 38

\text{Total cost of food for the banquet}=\$478.8

Therefore, the total cost of food for the banquet is $478.80.

5 0
3 years ago
Is the following shape a right triangle? How do you know?
Gwar [14]

Answer:

D. Yes, two sides are perpendicular, and the side lengths fit the

Pythagorean theorem.

4 0
3 years ago
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