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
lys-0071 [83]
1 year ago
15

Re-write the quadratic function below in Standard Form y=-5(x+1)²+7

Mathematics
2 answers:
Arturiano [62]1 year ago
7 0

Answer:

y = - 5x² - 10x + 2

Step-by-step explanation:

y = - 5(x + 1)² + 7 ← expand (x + 1)² using FOIL

  = - 5(x² + 2x + 1) + 7 ← distribute parenthesis by - 5

 = - 5x² - 10x - 5 + 7 ← collect like terms

 = -5x² - 10x + 2 ← in standard form

julsineya [31]1 year ago
3 0

Answer: y = -5x² - 10x + 2

Step-by-step explanation:

<u>Given quadratic function</u>

y = -5 (x + 1)² + 7

<u>Given requirement</u>

Quadratic Standard Form: y = ax² + bx + c

<u>Simplify the exponents</u>

y = -5 (x + 1) (x + 1) + 7

y = -5 (x² + x + x + 1) + 7

y = -5 (x² + 2x + 1) + 7

<u>Expand the parenthesis by distributive property</u>

y = (-5) · x² + (-5) · 2x + (-5) · 1 + 7

y = -5x² + (-10x) + (-5) + 7

y = -5x² - 10x - 5 + 7

<u>Combine like terms</u>

\Large\boxed{y=-5x^2-10x+2}

Hope this helps!! :)

Please let me know if you have any questions

You might be interested in
What is the value of p in the question below. 10x9/2x4= px 5
ycow [4]

Answer:

p = 5

Step-by-step explanation:

We have that:

\frac{x^{a}}{x^{b}} = x^{a-b}

So

\frac{x^{9}}{x^{4}} = x^{9-4} = x^{5}

10/2 = 5

Then

\frac{10x^{9}}{2x^{4}} = 5x^{9-4} = 5x^{5}

Finding p:

5x^{5} = px^{5}

p = \frac{5x^{5}}{x^{5}}

p = 5

7 0
3 years ago
I NEED HELP WITH NUMBER 4​
weeeeeb [17]

Answer:

4.5 inches

Step-by-step explanation:

To find the height in inches of the model, you need to change the ration into a fraction:

\frac{1}{50}

Then try to figure out the value of the denominator in terms of the ratio:

\frac{1}{50} =\frac{x}{725}

In this equation we need to figure out how much the denominator of the fraction is changing by, by dividing 725 by 50. Then, multiply that by one:

4.5

8 0
3 years ago
10^5 =<br><br>easy question​
Gennadij [26K]

Answer:

10^5 = 100000

Step-by-step explanation:

✌️❤️✌️

....

4 0
3 years ago
Read 2 more answers
What is the slope for the following equation 9x + 2y = 9
MArishka [77]

Slope of the equation is -9/2

Step-by-step explanation:

  • Step 1: Write the equation in slope-intercept form y = mx + b

9x + 2y = 9

2y = -9x + 9

y = -9/2 x + 9/2

⇒ Slope, m = -9/2

7 0
3 years ago
NO LINKS OR ANSWERING WHAT YOU DON'T KNOW?
Rom4ik [11]

Answer:

4,a

5.d

6.c

plz mark me as brainliest

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Two numbers differ by 9. the large number is 20 greater than half of the smaller number. find the two numbers
    5·2 answers
  • The cost of a ticket to the circus is $19.00 for
    12·1 answer
  • The sum of the first 1 million primes is N. Without knowing N's value, one can determine that the ones'digit of N cannot be
    11·1 answer
  • Seventeen people have been exposed to a particular disease. Each one independently has a 40% chance of contracting the disease.
    7·1 answer
  • Slove 1/4 divide by 3/5 using multiplication show your work
    14·1 answer
  • Sam rented a truck for one day. There was a base fee of $15.99, and there was an additional charge of 97 cents for each mile dri
    9·1 answer
  • My bad i forgot to put the pic
    12·1 answer
  • What is greater than 4.026
    15·2 answers
  • Find the area of the two composite figures.
    8·1 answer
  • Put the following equation of a line into slope-intercept form, simplifying all fractions. 2x-10y=-20
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!