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
Nana76 [90]
2 years ago
9

Rewrite the function by completing the square (vertex form) f(x)=x^2+16x-46

Mathematics
1 answer:
insens350 [35]2 years ago
5 0

Answer:

\large\boxed{f(x)=(x+8)^2-110}

Step-by-step explanation:

\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\\text{We have the equation:}\\f(x)=x^2+16x-46=x^2+2(x)(8)-46=x^2+2(x)(8)+8^2-8^2-46\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\to x^2+2(x)(8)+8^2=(x+8)^2\\\\f(x)=(x+8)^2-64-46=(x+8)^2-110

You might be interested in
Three less than the product of 6 and a number is 45. What is the number?
strojnjashka [21]

Answer: 8

Step-by-step explanation:

6x-3=45

6x=48

x=8

5 0
2 years ago
What is the mean median and mode of 99, 69, 96, 69, 78. Round to the nearest tenth if necessary
KiRa [710]
A median is the middle number of a data set.
To find it put the numbers in order.
78, 69, 69, 96, 99
Then find the middle number
78, 69, *69,* 96, 99

The median is 69

A mode is the number that appears the most in a set of numbers.
78, *69, 69,* 96, 99

The mode is 69

To find the mean or average of a set of numbers, add all the numbers together then divide by the number of numbers there are.
99+69+96+69+78 = 411
411/5 = 82.2

The mean is 82.2

Hope this helped! If you have anymore questions or don't understand, please comment on my profile or DM me. :)
6 0
3 years ago
2/3*x+3/4=8 what is x
matrenka [14]

Answer: x=10 7/8

Step-by-step explanation:

Subtract 3/4 from both sides. Multiply both sides by 3. Divide both sides by 2 (basically just isolate x on one side of the equal sign).

7 0
3 years ago
Solve the given system of equations2y=x+93x-6y=-15
attashe74 [19]

Answer:

No solutions

Explanation:

The given system of equations is

2y = x + 9

3x - 6y = -15

To solve the system, we first need to solve the first equation for x, so

2y = x + 9

2y - 9 = x + 9 - 9

2y - 9 = x

Then, replace x = 2y - 9 on the second equation

3x - 6y = -15

3(2y - 9) - 6y = -15

3(2y) + 3(-9) - 6y = -15

6y - 27 - 6y = -15

-27 = -15

Since -27 is not equal to -15, we get that this system of equation doesn't have solutions.

5 0
9 months ago
Which multiplication expression is eqeul to 3/5 ÷ 1/2
eduard

Answer:

Lets solve = 3/5 ÷ 1/2

3/5 ÷ 1/2

= 3/5 × 2/1

= 3 × 2/5 × 1

= 6/5

In mixed fraction its

1 \frac{1}{5}

____________________

Now lets solve "a" option

3/5 × 2

= 3 × 2/5 × 1

= 6/5

In mixed fraction

1 \frac{1}{5}

So option a = 3/5 x 2/1 is ur answer

8 0
2 years ago
Read 2 more answers
Other questions:
  • Using intervals of width 10, how many intervals
    15·1 answer
  • Find the length of a line segment with endpoints of 19 and –39. A. –58 B. –20 C. 20 D. 58
    12·2 answers
  • Which is the best estimate for the quotient of 198.32 ÷ 9.001?
    10·2 answers
  • If hexagon JGHFKI is equal to hexagon SRTQUV, which pair of angles must be congruent?
    9·2 answers
  • The sides of a square garden are 8 feet long.
    15·1 answer
  • If 270°<θ<360°, and tan⁡ θ= - 1/2, what is the value of tan⁡(−θ)?
    9·1 answer
  • 1.Which system of linear inequalities is graphed? <br>​
    5·2 answers
  • Two number cubes are rolled.
    8·2 answers
  • WHICH IS AN IRRATIONAL NUMBER?<br> BRAINLYIST!!
    12·2 answers
  • . Darlene is making punch. She pours 4 quarts 2 cups of apple juice into a bowl. Then she pours 3 quarts 1 cup of grape juice in
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!