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
Liula [17]
4 years ago
9

What is the range of the function y = -x2 + 1?

Mathematics
1 answer:
likoan [24]4 years ago
4 0
To solve this problem you must apply the proccedure shown below:

 1- You have the following function given in the problem above:

 y=-x²<span> + 1
</span>
 2- If you graph the function, you will obtain the parabola shown in the figure attached. As you can see, the vertex is ( the maximum value of y is y coordinate of the vertex is (0,1) and the parabola opens down. Therefore the range is:

 Range: {y∈R:y≤1}

 Therefore, the answer is: {y∈R:y≤1}
 

You might be interested in
Graysen has a red number cube and a white number cube. The faces of the cubes are numbered 1 through 6. Graysen will roll each c
TEA [102]

i think

Step-by-step explanation:

4 0
2 years ago
PLEASE HELP ITS MATH
faltersainse [42]

Answer:

y = 4x + 3

Step-by-step explanation:

as the line is parallel to the given equation, the gradient (4x) must stay the same, and as it must pass through the point (-2, -5), we can solve for the y intercept:

to calculate for the y intercept, it is best to express the equation in slope intercept form:

y = mx + b

in this equation, mx stands for the gradient, which ive already highlighted remains 4x, and b stands for the y intercept (which we don't know yet).

y = 4x + b

what we have been given instead is the coordinates for the point this line crosses through (-2,-5) meaning when x = -2, y = -5.

Using this information, we can replace x and y in the equation:

-5 = 4(-2) + b

with consideration to the order of operations, it is important to solve the brackets first

-5 = -8 + b

now to get b by itself add 8 to both sides of the equation:

-5 + 8 = -8 + 8 + b

3 = b

now we remember from the slope intercept equation, b = the y intercept, so we can now solve the equation.

y = 4x + b  

replace b with the number we solved for (3).

y = 4x + 3

this is the equation of the line that is parallel to y = 4x + 1, and passes through the point (-2, -5)

hope this helps :)

3 0
1 year ago
Which number is a factor of 20,but not a multiple of 10​
Aleks04 [339]

Answer: 4

Step-by-step explanation:

The number 10 is not divisible by 4 neither can you multiply a number from the factors of 20 by 4 to give you 10.

8 0
4 years ago
A certain stock starts the day at $273/8 per share. If it drops $21/2 during the day, what is its closing value? A. $247/8 B. $2
Elza [17]

Answer:

A. $ 24 7/8

Step-by-step explanation:

GIVEN: A stock starts the day at $27 3/8 per share.

             Share drops $2 1/2 during the day.

To Find : Closing value

Solution : first we need to find how many 1/8 are there in 1/2

So, \frac{\frac{1}{2} }{\frac{1}{8} } =4

when share drops by $2 then  share will be :

$27 - $2 =$25


and \frac{3}{8} - 4(\frac{1}{8})


⇒\frac{3}{8} - \frac{4}{8}


⇒\frac{-1}{8}


So, 25-\frac{1}{8}


⇒24\frac{7}{8}

So, its closing value is 24\frac{7}{8}.

7 0
4 years ago
The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a standard deviation of 8.3 cm.
Gre4nikov [31]

a. Find the probability that an individual distance is greater than 214.30 cm

We find for the value of z score using the formula:

z = (x – u) / s

z = (214.30 – 205) / 8.3

z = 1.12

Since we are looking for x > 214.30 cm, we use the right tailed test to find for P at z = 1.12 from the tables:

P = 0.1314

 

b. Find the probability that the mean for 20 randomly selected distances is greater than 202.80 cm

We find for the value of z score using the formula:

z = (x – u) / s

z = (202.80 – 205) / 8.3

z = -0.265

Since we are looking for x > 202.80 cm, we use the right tailed test to find for P at z = -0.265 from the tables:

P = 0.6045

 

c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

I believe this is because we are given the population standard deviation sigma rather than the sample standard deviation. So we can use the z test.

7 0
3 years ago
Other questions:
  • A recent study by Ohio State University reported at Science Daily suggests that students with cell phones may take more risks th
    7·1 answer
  • 13. HELP PLEASE ASAP!!!!!!!
    7·2 answers
  • Which graph has a negative rate of change for the interval 0 to 2 on the x-axis?
    10·2 answers
  • Which of the following is equivalent
    12·1 answer
  • Speed test cost $5 each and large one-topping pizzas cost $6 each write an equation that represents the total cost t of c large
    15·1 answer
  • Karen has 16$ to spend on games.if she only spent 14$ what percent of her money did she spend
    14·1 answer
  • Use the order of operations to simplify -5 + 3(7.2 - 3.2)
    13·1 answer
  • Please help I’ll give brainliest
    13·2 answers
  • Factorise: <br>What is the answer for 3x²+ 11xy + 6y²​
    12·1 answer
  • A
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!