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2 years ago

PLEASE HELP ME!!! It’s due before 7pm

Mathematics

1 answer:

Grace [21]2 years ago

5 0

Step-by-step explanation:

Solution:Total length of the board=95 cm

:One piece must longer 13 cm than other piece

Equation:95cm=X+X+13cm

:95cm-13cm=2x

:82cm=2x

:X=41 cm-Length of the smaller piece

:X=41cm +13cm=54cm-Length of the larger piece

Therefore the length of the smaller piece is 41cm and the length of the larger piece is 54cm.

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Question 1 (1 point) Which equation can be represented by a graph with a vertex at (1,3)?

madam [21]

Answer:

See explanation

Step-by-step explanation:

You have not provided the options to help us give you a specific answer.

If a quadratic function is written in the form

$f(x) = a {(x - h)}^{2} + k$

Then (h,k) is the vertex, and 'a' is a constant.

For instance

$f(x) = 5 {(x - 1)}^{2} + 3$

has vertex at (2,3).

Also, an absolute function in the form

$g(x) = a |x - h| + k$

has vertex at (h,k).

This means

$g(x) = |x - 1| + 3$

also has vertex at (1,3).

I hope this explanation is helpful.

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=Simplify%3A%20%5Cfrac%7B%205%C3%97%2825%29%5E%7Bn%2B1%7D%20-%2025%20%C3%97%20%285%29%5E%7B2n%7

Katen [24]

$\green{\large\underline{\sf{Solution-}}}$

Given expression is 

$\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} }$

can be rewritten as

$\rm \: = \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} }$

We know,

$\purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\$

And

$\purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\$

So, using this identity, we

$\rm \: = \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} }$

$\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} }$

can be further rewritten as

$\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} }$

$\rm \: = \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)}$

$\rm \: = \: \dfrac{4}{25 - 1}$

$\rm \: = \: \dfrac{4}{24}$

$\rm \: = \: \dfrac{1}{6}$

Hence, 

$\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}$

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3 years ago

Researchers once surveyed students on which superpower they would most like to have. The following two-way table displays data f

lorasvet [3.4K]

Answer:

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Step-by-step explanation:

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3 years ago

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Tiffany buys a basket of watermelons on sale for \$9$9 before tax. The sales tax is 9\%9%. What is the total price Tiffany pays

meriva

Answer: $9.81

Step-by-step explanation:

Here, Tiffany buys a basket of watermelons on sale for $9 before tax.

Therefore, Initial cost of a basket of watermelons = $9

And, he sales tax is 9%.

Therefore tax on a basket of watermelons,

9% of 9 = $\frac{9\times 9}{100} = 0.81$

But, The total cost of a basket of watermelons = initial cost + tax

= 9+0.81=9.81

Therefore, Tiffany pays $9.81 for the basket of watermelons.

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3 years ago

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What is the answer to this?

yKpoI14uk [10]

Answer:

I think it is 24 but I don't know the rest sorry 乁( •_• )ㄏ

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3 years ago

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