1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Misha Larkins [42]
3 years ago
5

Write a quadratic equation to represent a function with the vertex (-4, 1)

Mathematics
1 answer:
pishuonlain [190]3 years ago
6 0

Answer:

y=a(x+4)^2 +1, for a real number a hat is different of 0.

Step-by-step explanation:

If we know only the vertex, there are many quandratic equations.

* Result: Vertex (m,n), the quadratic equation is y= a(x-m)^2 + n for a real number a that is different of 0.

Here, the vertex (-4,1), we have the equation: y=a(x+4)^2 +1, for a real number a hat is different of 0.

Hope you understand.

You might be interested in
Steve spent a total of $43.78 to buy some school supplies that would be needed for the year. He spent $27.86 for a backpack, and
Nataly_w [17]

You can multiply the price of the journals with the answer choices and add that amount with how much his backpack cost and that'll give you your final cost.


<h2>Answer: C. 4 notebooks</h2>
5 0
3 years ago
Find the value of x if the measures of the interior angles of a pentagon are 5x®, 10X, 10X°, 10x°, and 10X°.
fomenos

Answer:

is 1 i think

Step-by-step explanation:

8 0
3 years ago
you deposited $1275.00 in your savings account . your simple interest rate is 3.75% annually. How much will your total account b
Lera25 [3.4K]

Answer:

$1,322.81

Step-by-step explanation:

6 0
2 years ago
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
Find the surface area of the rectangular and triangular prisms
harina [27]
Is there a picture to this????

if your just asking how to find  the area of something all you need to do is multiply all the numbers together and the total is the area.
For example if its 8cm,3cm,2cm all you need to do is multiply them together
8x3x2=48  so your area is 48cm
7 0
3 years ago
Other questions:
  • What two numbers add up to -14 and multiply out to -240
    10·2 answers
  • Which equation has the same solution as x^2-6x-13=0?
    5·1 answer
  • What is the value of this expression <br><br><br> 3^2*2-4(3-1)
    14·1 answer
  • Lisa lit a candle with a height of 8 inches. When lit, this candle loses 10% of its original
    5·1 answer
  • A sheet of paper 90 cm-by-66 cm is made into an open box (i.e. there's no top), by cutting x-cm squares out of each corner and f
    8·1 answer
  • L what is 67000 rounded to the nearest ten thousand
    11·2 answers
  • Use a calculator to find angle theta for which tan theta = 2. Round to the nearest hundredth.
    9·1 answer
  • Which is more 2 over 5 or 3 over 10?
    9·1 answer
  • Can anyone help with this please
    14·1 answer
  • In the first year of production
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!