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3 years ago

7

Please answer this question! 30 points and brainliest!

1 answer:

sasho [114]3 years ago

4 0

Answer:

it should be 14 over 5

Step-by-step explanation:

You might be interested in

Simplify the following polynomial expression. (5x^4 - 9x^3 + 7x - 1) + (-8x^4 + 4x^2 - 3x + 2) - ( -4x^3 + 5x - 1)( 2x - 7)

Lady bird [3.3K]

Answer: $5x^{4}-37x^{3}-6x^{2} +41x-6$

Step-by-step explanation:

1. You must apply the Distributive property. You need to remember the product property of exponents: If you multiply powers with the same base, you must add the exponents. Them you have:

$=5x^{4}-9x^{3}+7x-1-8x^{4}+4x^{2}-3x+2-(8x^{4}+28x^{3}+10x^{2}-35x-2x+7)\\=5x^{4}-9x^{3}+7x-1-8x^{4}+4x^{2}-3x+2-8x^{4}-28x^{3}-10x^{2}+35x+2x-7$

2. Now, you must add the like terms. Then, you obtain the following result:

$=5x^{4}-37x^{3}-6x^{2} +41x-6$

7 0

3 years ago

If a cone-shaped water cup holds 23 cubic inches and has a radius of 1 inch, what is the height of the cup?

schepotkina [342]

23 inches is the answer

7 0

3 years ago

Will mark brainliest, 60 points

Dominik [7]

Answer:

$\boxed{ \bold{ \sf{ \: 1. \: \: \: \: \: 198}}}$

$\boxed{ \bold{ \sf{2. \: \: \: \: \: - 8}}}$

$\boxed{ \bold{ \sf{ 3. \: \: \: \: \: \frac{64}{343} }}}$

Step-by-step explanation:

1. Given, u = 20 , x = 4 , y = 7 , z = 10

$\sf{ \frac{u}{z} + x {y}^{2} }$

⇒ $\sf{ \frac{20}{10} + 4 \times {7}^{2} }$

⇒ $\sf{ \frac{20}{10} + 4 \times 49}$

⇒ $\sf{ \frac{20}{10} + 196}$

⇒ $\sf{ \frac{20 + 196 \times 10}{10} }$

⇒ $\sf{ \frac{20 + 1960}{10} }$

⇒ $\sf{ \frac{1980}{10} }$

⇒ $\sf{198}$

2. $\sf{4( - 2)}$

Multiplying or dividing a positive integer by any negative integer gives a negative integer

= - 8

3. $\sf{( \frac{4}{7} ) ^{3} }$

⇒ $\sf{( \frac{ {4}^{3} }{ {7}^{3} } })$

⇒ $\sf{ \frac{4 \times 4 \times 4 }{7 \times 7 \times 7}}$

⇒ $\sf{ \frac{64}{343} }$

Hope I helped!

Best regards! :D

5 0

4 years ago

Read 2 more answers

A doctor prescribes a 100-mg antibiotic tablet to be taken every eight hours. Just before each tablet is taken, 20% of the drug

zvonat [6]

Answer:

120 mg

Step-by-step explanation:

20% of 100 is 20 so that would be 20mg plus the 100mg they just took

100+20=120mg

i hope this helps you!

7 0

3 years ago

The hypotenuse of a right triangle is 1 centimeter longer than one side and 4 centimeters longer than three times the other side

snow_tiger [21]

Answer:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

Step-by-step explanation:

Represent:

The opposite with a
The adjacent with b
The hypotenuse with c

Given that:

$c = 1 + a$

$c = 4 + 3b$

Required

Solve for a, b and c

$c = c$

So, we have:

$1 + a = 4 + 3b$

Subtract 1 from both sides

$a = 4 -1 + 3b$

$a = 3 + 3b$

Apply Pythagoras Theorem

$c^2 = a^2 + b^2$

Substitute 3 + 3b for a and 4 + 3b for c

$(4 + 3b)^2 = (3 + 3b)^2 + b^2$

Open brackets

$16 + 12b+12b+9b^2 = 9 + 9b+9b+9b^2 +b^2$

$16 + 24b+9b^2 = 9 + 18b+10b^2$

Collect Like Terms

$10b^2 - 9b^2 + 18b - 24b + 9 - 16 = 0$

$b^2 - 6b -7 = 0$

Expand

$b^2 +b-7b-7=0$

Factorize:

$b(b+1)-7(b+1) =0$

$(b-7)(b+1) = 0$

Split:

$b - 7 = 0\ or\ b+1=0$

$b = 7\ or\ b=-1$

But the adjacent of a triangle can't have a negative measurement.

So:

$b = 7$

Recall that:

$c = 4 + 3b$

$a = 3 + 3b$

Substitute 7 for b in the above expressions

$c = 4 + 3 * 7$

$c = 4 + 21$

$c = 25$

$a = 3 + 3 * 7$

$a = 3 + 21$

$a = 24$

Hence, the dimensions of the triangle are:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

5 0

3 years ago