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GenaCL600 [577]
3 years ago
9

Simplify 4√16 + 8√16

Mathematics
1 answer:
Mumz [18]3 years ago
4 0

4\sqrt{16} + 8\sqrt{16}:

Since \sqrt{1} =1, we get:

4\cdot \:1\cdot \:6+8\cdot \:1\cdot \:6=24+48=72

-----------------------------------------------------------------------------------

7\sqrt{4} *3\sqrt{8}

We have \sqrt{4}=2

simplify \sqrt{8} = \sqrt{2^3} = \sqrt{2^2*2}

then the radical rule is used: \quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}

⇒ \sqrt{2^2*2} = \sqrt{2^2} \sqrt{2}= \sqrt{4}\sqrt{2} =2\sqrt{2}

Now we have \sqrt{4}=2 and \sqrt{8}=2 \sqrt{2}

7\sqrt{4} *3\sqrt{8} = 7*2*3*2\sqrt{2} = 84 \sqrt{2}

-----------------------------------------------------------------------------------

2\sqrt{4}+5 \sqrt{9}

2\sqrt{4} =2*2= 4 and 5\sqrt{9} =5*3= 15

2\sqrt{4}+5 \sqrt{9} = 4+15 = 19

-----------------------------------------------------------------------------------

4\sqrt{5} -2\sqrt{5} = 2\sqrt{5}

since 2\sqrt{5} is the half of 4\sqrt{5}

-----------------------------------------------------------------------------------

-4\sqrt{2}\:+\:5\sqrt{2} =1 \sqrt{2} = \sqrt{2}\\    <em>(-4+5=1)</em>

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3 folders cost $2.91 which equation would help determine the cost of 2 folders
eimsori [14]

Answer:

The equation that will determine the cost of two folders is;  3x = 2× $2.91

and  the cost of  the 2 folders is $1.94

Step-by-step explanation:

To solve this problem, we will follow the steps below;

Using proportion;

Let x be the cost of 2 folders

3 folders = $2.91

2 folders  =  x

Cross-multiply

3x = 2× $2.91

The equation that will determine the cost of two folders is

3x = 2× $2.91

We can go ahead and solve

3x = $5.82

Divide both-side of the equation by 3

\frac{3x}{3}  =  \frac{5.82}{3}

x = $ 1.94

The cost of 2 folders is $1.94

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3 years ago
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The archway of the main entrance of a university is modeled by the quadratic equation
Scilla [17]

Answer:

B. (1,5) and (5.25, 3.94)

Step-by-step explanation:

The answer is where the 2 equations intersect.

We need to solve the following system of equations:

y = -x^2 + 6x

4y = 21 - x

From the second equation:

x = 21 - 4y

Plug this into the first equation:

y = -(21 - 4y)^2 + 6(21 - 4y)

y = -(441 - 168y + 16y^2)+  126 - 24y

y = -441 + 168y - 16y^2 +  126 - 24y

16y^2 + y - 168y + 24y + 441 - 126 = 0

16y^2 - 143y + 315 = 0

y = [-(-143) +/- sqrt ((-143)^2 - 4 * 16 * 315)]/ (2*16)

y = 5, 3.938

When y = 5:

x = 21 - 4(5) = 1

When y = 3.938

x = 21 - 4(3.938) = 5.25.

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3 years ago
2x-7y=12 for y answer please​
Marat540 [252]

Answer: If you want mx + b= y form and you want the y intercept, then the answer would be 2x/7 - 12/7 = y. The y intercept is b, so it is 12/7.

Step-by-step explanation: 2x - 7y = 12

Move -7y to the other side: 2x= 12 + 7y

Subtract 12 to the left side: 2x - 12 = 7y

Then divide 7 into everything: 2x/7 - 12/7 = 7y/7

The 7s in the right side cancel out, so the equation is now: 2x/7 - 12/7 = y

The y intercept is b, which is the second term in the equation, so the

Y Equals : 12/7

I hope this is what you are looking for!  

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Hoochie [10]

Answer:

$55+$9x≥$199

You must work for at least 16 hours to be able to buy the bicycle.

Step-by-step explanation:

Let x represent the number of hours you need to work to buy the bicycle.

You already have $55.

⇒$55+ −−−−−≥ −−−−−

You also earn $9 per hour.

Algebraically, this can be written as 9x.

⇒$55+$9x≥ −−−−−

You need to earn at least $199 to buy the bicycle.

⇒$55+$9x≥$199

The ≥ sign is used because the left-hand side of the inequality must be "greater than or equal to" $199.

Let's find out how many hours you need to work to buy the bicycle.

Subtracting $55 from both sides of the inequality:

⇒$55−$55+9x≥$199−$55

⇒$9x≥$144

Dividing both sides by $9:

⇒$9x$9$=$144$9

∴x≥16

Therefore, you need to work at least 16 hours to afford the bicycle.

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