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
ser-zykov [4K]
3 years ago
7

Find the x-intercepts of the parabola with vertex (1,1) and y-intercept (0,-3). 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:
Vikki [24]3 years ago
4 0
Remember that the vertex form of a parabola or quadratic equation is:

y=a(x-h)^2+k, where (h,k) is the "vertex" which is the maximum or minimum point of the parabola  (and a is half the acceleration of the of the function, but that is maybe too much :P)

In this case we are given that the vertex is (1,1) so we have:

y=a(x-1)^2+1, and then we are told that there is a point (0,-3) so we can say:

-3=a(0-1)^2+1

-3=a+1

-4=a so our complete equation in vertex form is:

y=-4(x-1)^2+1

Now you wish to know where the x-intercepts are.  x-intercepts are when the graph touches the x-axis, ie, when y=0 so

0=-4(x-1)^2+1  add 4(x-1)^2 to both sides

4(x-1)^2=1  divide both sides by 4

(x-1)^2=1/4  take the square root of both sides

x-1=±√(1/4)  which is equal to

x-1=±1/2  add 1 to both sides

x=1±1/2

So x=0.5 and 1.5, thus the x-intercept points are:

(0.5, 0) and (1.5, 0)  or if you like fractions:

(1/2, 0) and (3/2, 0) :P
You might be interested in
6. You made cookies for a bake sale. You sold 24 cookies. This was 75% of the cookies you made. How many cookies did you make?​
3241004551 [841]

Answer: 32 cookies

Step-by-step explanation: Divide 24 by 3 to find 25% of the cookies you made. 24 divided by 3 is 8. Multiply 8 by 4, since 25% of your cookies times 4 would give you 100% of your cookies. 8 x 4 = 32 cookies.

8 0
2 years ago
A store charges 5.5 % sales tax on all items. If an item costs d dollars before tax, which expression represents the total cost
Black_prince [1.1K]

Answer: d + 0.055d or 1.055d

Step-by-step explanation:

Cost of item = d

Sales tax percent = 5.5%

Total cost = Cost of item + Sales tax

= d + (5.5% × d)

= d + (5.5/100 × d)

= d + (0.055 × d)

= d + 0.055d

= 1.055d

Therefore, the expression that represents the total cost of the item, in dollars and cents, after tax will be:

d + 0.055d or 1.055d.

7 0
3 years ago
7 plus -2 times 3 square
ruslelena [56]
If 3 squared is 9 then 9 times -2 is -18 plus 7 is -11
6 0
3 years ago
Please help asap! Tysm! I will give brainliest and thanks. :)
dsp73

Answer:

(-2,4)

Step-by-step explanation:

There are multiple answers for this, basically anything with an x-value of: -4, -2, 0, 2, or 4

So, you could have (2,4) , (-4,3) , (0,17), (2, -5), etc.

This is because, to be a function, each x-value can only have one corresponding y-value.  Thus, by giving the x-values (in this case, again, -4,-2,0,2, or 4) another y-value, the relation will not be a function.  

Easy answer: An x-value can only have one y-value

8 0
3 years ago
If 57 is added to a number, it will be 4 times as large as it was originally. Find the number.
Sonja [21]

Answer:

19

Step-by-step explanation:

X will refer to the number.

X+57( the number added to the original.)=4x. (x time 4)

X+57=4x.

Subtract x from both sides to get the variable on one side.

(X+57)-x =(4x)-x

57=3x. You would then divide by 3 on both sides to again get integer isolated.

57/3=3/3x.

57/3=19. 3/3=1.

19=x.

6 0
3 years ago
Other questions:
  • How many different ways can i select 2 of 6 candy bars?
    5·1 answer
  • A 15 ft. telephone pole has a wire that extends from the top of the pole to the ground. The wire and the ground form a 42 angle.
    5·1 answer
  • Which one of the following numbers is a multiple of 8
    10·1 answer
  • A compostion of transformation is
    5·1 answer
  • A researcher wishes to determine whether people with high blood pressure can reduce their blood pressure by following a particul
    6·1 answer
  • Identify the type of conic; then the equation to the standard form for that conic: X^2-2x-16y+33=0
    14·1 answer
  • Please answer this question only if you know it!
    5·1 answer
  • SOMEONE PLZ HELP FAST AND SHOW UR WORK ILL MARK BRAINLIEST IF YOU SHOW UR WORK AND ANSWER CORRECTLY
    7·1 answer
  • Please answer ASAP, thanks!​
    13·1 answer
  • Use the symmetric property of congruence to complete the following statement if
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!