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Shtirlitz [24]
3 years ago
13

Which of the following describes the transformation of the graph y= x2 in graphing y=-x2.5?

Mathematics
1 answer:
Zepler [3.9K]3 years ago
4 0

Answer:

reflect over the x-axis and shift down 5

Step-by-step explanation:

Assuming the transformed graph has equation.

y = -   {x}^{2}  - 5

and the parent function is

y =  {x}^{2}

Then the transformed function is obtained by reflecting the parent function in the x-axis and then shifting it down by 5 units.

The coy option is reflect over the x-axis and shift down 5 units.

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What is one fith times 15
Rus_ich [418]
One fifth is the same as \frac{1}{5} and 15 is the same as \frac{15}{1}

So just times across, \frac{1}{5} × \frac{15}{1}
Resulting in(1 x 15= 15, and 5 x 1= 5), \frac{15}{5}

If you need/want to reduce it, divide both numbers by 5. Leaving you with the simplified answer of \frac{3}{1} or 3. Either answer works. :)

If you have any questions, just comment them down below :)
4 0
3 years ago
Read 2 more answers
What is the factorization of 729^15+1000?
igomit [66]

Answer:

The factorization of 729x^{15} +1000 is (9x^{5} +10)(81x^{10} -90x^{5} +100)

Step-by-step explanation:

This is a case of factorization by <em>sum and difference of cubes</em>, this type of factorization applies only in binomials of the form (a^{3} +b^{3} ) or (a^{3} -b^{3}). It is easy to recognize because the coefficients of the terms are <u><em>perfect cube numbers</em></u> (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).

Let's solve the factorization of 729x^{15} +1000 by using the <em>sum and difference of cubes </em>factorization.

1.) We calculate the cubic root of each term in the equation 729x^{15} +1000, and the exponent of the letter x is divided by 3.

\sqrt[3]{729x^{15}} =9x^{5}

1000=10^{3} then \sqrt[3]{10^{3}} =10

So, we got that

729x^{15} +1000=(9x^{5})^{3} + (10)^{3} which has the form of (a^{3} +b^{3} ) which means is a <em>sum of cubes.</em>

<em>Sum of cubes</em>

(a^{3} +b^{3} )=(a+b)(a^{2} -ab+b^{2})

with a= 9x^{5} y b=10

2.) Solving the sum of cubes.

(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)((9x^{5})^{2}-(9x^{5})(10)+10^{2} )

(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)(81x^{10}-90x^{5}+100)

.

8 0
3 years ago
What is 42 divided by 6?
irakobra [83]
42/6 is 7 because seven 6s go in 42
6 0
3 years ago
Read 2 more answers
I NEED HELP THIS IS MY LASST ONE UNTIL
Gelneren [198K]

Answer:

The answer is 24ft

4 0
3 years ago
Karissa deposits $165 into a new savings account. The account earns 2.75% simple interest per year. Karissa plans on keeping the
enyata [817]

Answer:$382

Step-by-step explanation:

To get The interest for 4 years

Amount*rate*time*duration

165*0.0275*12*4=$217

165+217=$382

3 0
3 years ago
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