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
il63 [147K]
3 years ago
15

Find the x-intercepts of the parabola with vertex (-5,80) and y-intercept (0,-45). Write your answer in this form (x of 1 , y of

1), (x of 2, y of 2). If necessary round to the nearest hundereth
Mathematics
1 answer:
Ivan3 years ago
7 0
A parabola is a quadratic function, and a quadratic can be expressed in vertex form, which is:

y=a(x-h)^2+k, where (h,k) is the vertex (absolute maximum or minimum point of the quadratic)

In this case we are given that (h,k) is (-5,80) so we have so far:

y=a(x--5)^2+80

y=a(x+5)^2+80, we are also told that it passes through the point (0,-45) so:

-45=a(0+5)^2+80

-45=25a+80  subtract 80 from both sides

-125=25a  divide both sides by 25

-5=a, so now we know the complete vertex form is:

y=-5(x+5)^2+80

The x-intercepts occur when y=0 so:

0=-5(x+5)^2+80  add 5(x+5)^2 to both sides

5(x+5)^2=80  divide both sides by 5

(x+5)^2=16  take the square root of both sides

x+5=±√16  which is

x+5=±4  subtract 5 from both sides

x=-5±4 so the x-intercepts are:

x=-1 and -9


You might be interested in
Hi i just want to be <br>Friends with I am from Philippines ​
grin007 [14]

Answer:

HI HI from the UK,

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Choose the correct comparison for the numbers below.
Alexandra [31]

Answer:

A

Step-by-step explanation:

In order to compare all three numbers, you must change them all to have the same form, either all decimal form, all fraction, or all percentages.

The easiest ways to compare are decimal and percentage, as they're practically the same thing. For simplicities sake, though, let's turn all the numbers into decimal.

Since 0.85 is already in decimal form, leave it as it is.

3/4 can be turned into a decimal by putting it into a calculator, but intuitively you should know that it's 0.75. If you don't know a fraction intuitively, you just need to make the fraction into a multiple of denominator 100 and take the numerator. For example:

\frac{3}{4} * \frac{25}{25} = \frac{75}{100}

Numerator is 75.0, now simply move the decimal place up to to get the decimal form 0.75.

91% can be changed into a decimal by moving the decimal place left 2 places. 91.0% turns into 0.91.

Now that you can see the numbers, just rearrange them from least to greatest

0.75<0.85<0.91

equal to A

5 0
3 years ago
I need help ASAP could someone help with this?
Varvara68 [4.7K]

=)       sorry. but i do not know this. i hope  somebody helps you out> =)

4 0
3 years ago
Plz answer this correctly.....plzzzzz quickly......:)<br>&lt;3.....​
kramer

Answer:

31.01, 180.8, 0.2, 15501

Step-by-step explanation:

Puzzle 1:

The first rule takes out 301

The second rule has to have a 1 in the units place so that takes out 3.1, 3.101, and 30.1

The 3rd rule takes out 1.01, and 1.03

Rule 4, is self explanatory, so it takes out 31.3

and the last rule takes out 31.1 bc there is no hundredths column

That leaves you with 31.01

Puzzle 2:

Rule 1 takes out 18180

Rule 2, self explanatory, takes out 180

Rule 3 takes out numbers less than 18 so 1.81 and 0.18

Rule 4 takes out  18.01, 1800, 188, and 18.8

That leaves you with 180.8

Puzzle 3:

Rule 1 takes out 0.24, 0.5, and 2.02

Rule 2 takes out 0.15

Rule 3 takes out 0.02, 0.01 and 0.1 (bc it just says greater than and not equal to so it takes this one out)

Rule 4 takes out 0.12

That leaves you with 0.2

Puzzle 4:

Rule 1 takes out 45000

Rule 2 takes out 5401, 5444, and 4544

Rule 3 takes out 5454

Rule 4 does not take out any because all the remaining numbers ( 14500, 15501, 14534, and 10500) have 5 hundreds

Rule 5 takes out 14500, 14534, and 10500

That leaves you with 15501

Hope this helped :)

5 0
2 years ago
Please help me with this is important and I’ll give you a brainless if the answer is right
weqwewe [10]

Answer:

She subtracted 5 and got 6 instead of subtracting -5 which is 16

Step-by-step explanation:

11 - (-5)

Subtracting a negative is like adding

11 +5

16

She subtracted 5 and got 6 instead of subtracting -5 which is 16

5 0
3 years ago
Read 2 more answers
Other questions:
  • 11% of what number is 22
    5·2 answers
  • Help asap please info in pic
    11·1 answer
  • N.) Evaluate the expression (xy)? + 8, when x = 2 and y = 4.
    8·2 answers
  • What is the value of angle x°?
    7·1 answer
  • Which two ratios represent quantities that are proportional
    9·2 answers
  • Are the expressions -0.5(3x + 5) and -1.5x + 2.5 equivalent? Explain why or why not
    15·2 answers
  • Caleb cut a rope into 4 pieces. The lengths of the pieces of rope are 5 2 8 inches, 7 7 8 inches, 4 1 8 inches, and 3 3 8 inches
    13·1 answer
  • Help Pls......... ".... - - . -
    10·1 answer
  • Find the perimeter of ABCD
    12·1 answer
  • Find the area of the circle. round your answer to the nearest hundredth<br> radius= 2cm
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!