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
Dennis_Churaev [7]
3 years ago
15

Rewrite the equation y=x^2−5x−6 in factored form and find the zeros of the equation. Then use the zeros to find the line of symm

etry of the parabola represented by the equation.
What is the equation for the line of symmetry of the parabola represented by the equation y=x^2−5x−6?

x=−2.5
x=2.5
x=0.5
x=−3.5
x=3.5
x=−0.5
Mathematics
1 answer:
AURORKA [14]3 years ago
8 0

Hi there!

\large\boxed{x = 2.5}

y = x² - 5x - 6

Rewrite into factored form by finding two numbers that sum up to -5 and multiply into -6. We can use the numbers -6 and 1:

y = (x - 6)(x + 1) is the equation in factored form.

There are zeroes at:

0 = x - 6

x = 6

0 = x + 1

x = -1

Find the x-value exactly half-way between the two zeroes to find the axis of symmetry:

(-1 + 6) / 2 = 5 / 2 = 2.5

Therefore, the equation for the line of symmetry is:

x = 2.5

You might be interested in
Q4.
Levart [38]

Probabilities are used to determine the chances of an event

  • The probability of choosing a black counter is 0.6
  • The probability that both counters are white is 0.16

<h3>(a) Probability of selecting two blacks</h3>

The probability is given as:

P(Black\ n\ Black)=0.36

Apply probability formula

P(Black) \times P(Black)=0.36

Express as squares

P(Black)^2=0.36

Take the square root of both sides

P(Black)=0.6

Hence, the probability of choosing a black counter is 0.6

<h3>(b) Probability of selecting two white counters</h3>

In (a), we have:

P(Black)=0.6

Using the complement rule, we have:

P(White) = 1 - P(Black)

So, we have:

P(White) = 1 -0.6

Evaluate

P(White) = 0.4

The probability that both counters are white is then calculated as:

P(White\ and\ White) = P(White) \times P(White)

So, we have:

P(White\ and\ White) =0.4 \times 0.4

P(White\ and\ White) =0.16

Hence, the probability that both counters are white is 0.16

Read more about probabilities at:

brainly.com/question/15858152

6 0
2 years ago
Find x.<br> 20 cm<br> 12 cm<br> Х<br> X =<br> cm
frez [133]
Use pythagorean therom, so A^2 would be 12 since it’s the same lengths the square sides, and C^2 is 20. X= 16
6 0
3 years ago
If a person weighs 240 pounds on Earth, what would be the difference in weight of the same person on Mars and on the Moon
vlada-n [284]
Because weight = mass x surface gravity, multiplying your weight on Earth by the numbers above will give you your weight on the surface of each planet. If you weigh 150 pounds (68 kg.) on Earth, you would weigh 351 lbs. (159 kg.) on Jupiter, 57 lbs. (26 kg.) on Mars and a mere 9 lbs. (4 kg.)
3 0
3 years ago
Read 2 more answers
Lorenzo and his sister, Mariana, are decorating gingerbread houses. They want to make grass, so they turn their icing green by m
Alexandra [31]

Answer:

lorenzo

Step-by-step explanation:

because he has added more blue shade which will make the icing darker , Mariana's icing will be lighter as she added less blue shade :)

8 0
3 years ago
a food truck sells salads for 6.50 each and drinks for 2.00 each. The food truck's revenue from selling a total of 209 salads an
kati45 [8]
S+d=209
d=209-s
6.5s+2d=836.5
6.5s+2(209-s)=836.5
6.5s+418-2s=836.5
4.5s+418=836.5
4.5s=418.5
s=93

There were 93 salads sold that day.
4 0
3 years ago
Other questions:
  • Help ASAP with this question.
    15·1 answer
  • What is the value of x?
    8·1 answer
  • Y = 2x + 3<br> y = 3x - 1
    6·1 answer
  • There are 30 blue cubes in the box.<br> What is the total number of cubes in the box
    10·1 answer
  • What are the 2 \ 3 parts of a right angle in a whole wheel?​
    5·1 answer
  • Find the measure of<br> А<br> E<br> 103°<br> 270<br> 50°<br> 35°<br> D<br> B<br> C
    9·1 answer
  • What is the equation of the line that passes through the point ( -1, 1) and is perpendicular to 2x + 4y = 16?
    15·1 answer
  • A rectangle has a length of 38 meters less than 8 times its width. If the area of the rectangle is 4050 square meters, find the
    9·1 answer
  • Given that 10 cm is approximately equal to 4 inches, which of the following expressions models a way to find out approximately h
    9·1 answer
  • Solve the problem below and show your work
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!