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
Cloud [144]
2 years ago
11

Which way will the parabola open? Explain.

Mathematics
2 answers:
Marizza181 [45]2 years ago
8 0
Our parabola open downward and therefore a is negative.

Explanation:
As value of a changes from positive to negative or from negative to positive, the direction of opening changes. For negative values of a we got negative parabolas that open downward. As the original formula y = x^2 we see that x^2 will always be positive because when you square a number it always gives positive value. Therefore the direction for which it will open, depends on value of a.
xeze [42]2 years ago
8 0

Answer:

The parabola is vertical (opens up or down).

Step-by-step explanation:

If the x is squared or if a is positive, the parabola opens up or to the right. If it is negative, it opens down or to the left. The vertex is at (h, k).

- Hope this helps!

You might be interested in
a rectangle has a length of 8m and a width of 4.5m. A parallelogram has a length of 6 m. The area of the parallelogram is twice
Tcecarenko [31]

Answer:

12m

Step-by-step explanation:

work out the area of the rectangle then times it by 2 because the parallelogram is twice the area of the rectangle. 8 × 4.5m = 36m². 36 ×2 = 72cm². Now you do 72 ÷ 6 = 12 . the answer is 12m.

6 0
3 years ago
Consider the figure below. Abraham cut regular pentagon ABCDE into quadrilateral BEGC. Which of the following statements is true
Genrish500 [490]

Let 'n' be the number of side of a regular polygon each angle are equal and sum of  each angle equal to (n-2)×180. \\∴For a regular pentagon have five equal side, n=5\\ ∴ sum of each angle = (n-2)×180=3×180 = 540. and ecah angle = 540÷5=108°. Therefore ∠BCG = 108° and ∠ABC =108° \\ Here BE is one of the diagonal of regular pentagon ABCDE. BE divide ∠ABC in 1:2 ratio \\ Therefore ∠ABE : ∠CBE = 36: 72\\∴ ∠GCB + ∠CBE = 108° +72°=180°

5 0
3 years ago
Read 2 more answers
 Jamal works at a sporting goods store on the weekends. Suppose last weekend he worked
rusak2 [61]

Answer:

$8.8 per hour

Step-by-step explanation:

Well, the equation is simple.

Time (hours) * Money (per hour) = Total

We know the time he worked for and the total amount he earned, so just replace in this equation and find the unknown number

12.5 * money = 110

To find the money he earns per hour we should just simply divide the total amount he earned by the hours he spent working

money = 110/12.5

money = 8.8$

You can also check it out to make sure it's correct.

If he earns 8.8$ per hour and worked for 12.5 hours how much he'll earn? Let's find out

8.8 * 12.5 =?

8.8 * 12.5 = 110, the same total amount so our solution must be correct.

3 0
2 years ago
The altitude above sea level of an airplane just after taking off from an airport on a high plateau is given by the linear funct
Zolol [24]

Answer:

Slope, m = 1100

y-intercept,c = 2491                                                            

Step-by-step explanation:

We are given the following in the question:

y(x) = 1100x + 2491

The above gives the altitude of the airplane above the sea level in feet(y) after x minutes since the take off.

Comparing the above equation, to a general linear equation, we have,

y = mx + c

where m is the slope and c is the y-intercept.

Comparing we get,

Slope, m = 1100

y-intercept,c = 2491

Interpretation:

  • The slope of equation tells us about the rate of change of function with unit increase in value of x. Thus, the altitude of airplane increases 1100 feet when the time increases by 1 minute.
  • The y-intercept is the value of y when x is 0. Thus, the altitude of airplane is 2491 feet when the airplane has not taken off.

6 0
3 years ago
If f(x) = 2x6 + 3x5 – 1, then what is the remainder when f(x) is divided by<br> x + 1?
Alchen [17]
<h3>Answer:   -2</h3>

===============================================

Explanation:

We use the remainder theorem. This is the idea where if we divide P(x) over (x-k), then the remainder is P(k).

Comparing x+1 to x-k shows that k = -1

It might help to rewrite x+1 as x-(-1) to get it into the form x-k better.

Plug this k value into the function

f(x) = 2x^6 + 3x^5 - 1

f(-1) = 2(-1)^2 + 3(-1)^5 - 1

f(-1) = 2(1) + 3(-1) - 1

f(-1) = 2 - 3 - 1

f(-1) = -1 - 1

f(-1) =-2

The remainder is -2

We can confirm this through synthetic division or polynomial long division.

5 0
3 years ago
Other questions:
  • What has two fewer sides than a heptagon
    7·1 answer
  • What is 22/11 when simplified and how did you solve that?
    5·2 answers
  • The system of equations is coincident. What are the missing values?
    8·1 answer
  • Physiological response of organisms to their environment is called behaviour ecology​
    9·2 answers
  • HELP ME YOULL GET BRAINLYIEST
    12·1 answer
  • 2х – у = 7<br>3х + y = 3​
    5·2 answers
  • Why did the feudal system rely on a high degree of local independence?
    7·1 answer
  • How do you know when a number is divisible by 6?
    5·1 answer
  • +3=17
    13·1 answer
  • The function g is defined by the following rule.<br> g(x) = -5x-4<br> Complete the function table.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!