Find the range of the function. f(x) =10-x^2

Answers

Answer 1

Answer: ( - ∞ , 10 ] , { y| y ≤ 10 }

Step-by-step explanation: You have to find the domain by finding where the function is defined. The range is the set of the values that correspond with the domain.

Answer 2

The range of the function f(x) = 10 - x^2 is all real numbers less than or equal to 10.

To find the range of the function f(x) = 10 - x^2, we need to consider the maximum and minimum values that f(x) can take. The parabola opens downwards since the coefficient of x^2 is negative, which means it has a maximum value and no minimum value. The vertex of this parabola occurs at x = 0, which gives us the maximum value of f(0) = 10. Therefore, the range of f(x) is all real numbers less than or equal to 10, which can be expressed as f(x) ≤ 10 or in interval notation, \\[10, -∞).


Related Questions

The last square of the chessboard is square 64.
How many pennies are on square 64?

Answers

Answer: C. 2^63

second part: greater than

Step-by-step explanation:

The number of pennies on square 64 is 2^63

What is a square?

A square is a quadrilateral, that have its four sides to be equal, and all its angles to be right-angles

From the question, the number of pennies on a square is:

[tex]T_n = 2^{n-1[/tex]

So, we have:

[tex]T_{64} = 2^{64 - 1}[/tex]

Evaluate the difference

[tex]T_{64} = 2^{63[/tex]

Hence, the number of pennies on square 64 is 2^63

Read more about patterns at:

brainly.com/question/15590116

Simplify this expression.
4m
10(m + n)

Answers

Answer:

4m+10mn

Step-by-step explanation:

because we can't simplify any further, we can just multiply 10 by m AND n when you do this, its like multipling 2 variblies, like bxh = bh.

Lines a and b are parallel. What is the value of x? (I will mark brainliest) (please hurry)
A. 5
B. 10
C. 35
D. 55

Answers

Answer:

A.5

Step-by-step explanation:

11x+7x+90=180

11x and the unlabeled angle in the triangle are alt. interior and are equal

18x=90

divide both sides by 18

x=5

help please this is due in a few hours !!

Answers

Answer:

31.48 square feet

Step-by-step explanation:

We can find the area of half the figure first.

Half the figure can be split up into the triangle and the semicircle.

Area of triangle:

1/2bh

Plug values in.

1/2(4)(3)

1/2(12)

6

Area of semicircle:

πr^2/2

Radius is half of Diameter.

Radius is 2.5. (5/2)

Plug values in.

π2.5^2/2

6.25π/2

9.7389372262

Round.

9.74

Add the area of triangle to area of semicircle to find area of half the figure.

6+9.74=15.74

Multiply by 2 to find area of whole figure.

15.74*2=31.48

Can someone please answer this math problems thank you

Answers

Answer:

The three answers are B,C,F

b c f ... i believe ?

NEED HELP NOW \large{\dfrac{2}{3} \div 5 =} 3 2÷5=start fraction, 2, divided by, 3, end fraction, divided by, 5, equals?

Answers

Answer:

no clue

Step-by-step explanation:

Out of 2,000 students in a high school, 800 of them were randomly selected and asked if they want the school’s mascot to change. Out of those surveyed, 250 want it to change.

With a desired confidence level of 99% and a corresponding z*-score of 2.58, what is the margin of error for this sample survey?

Answers

Answer:800

0.31

0.69

4.2

Step-by-step explanation:

Answer:

800

0.31

0.69 (nice)

4.2

Step-by-step explanation:

edgu 2020

5 liters at $15.25
x liters at $33.55

Answers

Answer:

x=2

Step-by-step explanation:

shdhvejsjheuhchsjcyhejc7738

Answer:

11

Step-by-step explanation:

divide 5 and 15.25

then multiply by 33.55

Please helpppppp!!!!

Answers

Answer:

A. -34.5>x

Step-by-step explanation:

The area is shaded below -34.5, so we know that x has to be less

There's 6,954 cases filed with Surpreme court only 82 were chosen by Surpreme court. what percentage was decided by the court ?

Answers

Answer:

1.2%

Step-by-step explanation:

Since only 82 were chosen by supreme Court,

The total is 6954

To calculate the percentage of the case decided by the court

82/6954 ×100

8200/6954

1.179~1.2

So the final answer is 1.2%

Final answer:

The percentage of cases decided by the Supreme Court compared to those filed is approximately 1.18%.

Explanation:

To calculate the percentage of cases decided by the Supreme Court out of the total number of cases filed, we use the formula for finding a percentage: (Number of cases decided / Total cases filed) × 100. In this scenario, the Supreme Court decided 82 cases out of 6,954 cases filed.

So, the calculation would look like this:

(82 / 6,954) × 100 = (0.01179) × 100 ≈ 1.18%

Therefore, approximately 1.18% of the cases filed with the Supreme Court were decided by the court.

Points A, B, and C are midpoints of the sides of right
triangle DEF
Which statements are true? Select three options. (The
formula for the area of a triangle is A = bh.)
BC = 6 cm
AC = 5 cm
BA = 4 cm
DE = 10 cm
FD = 6 cm
FE = 8 cm
The perimeter of triangle ABC = 12 cm.
The area of triangle ABC is
the area of triangle DEF.​

Answers

The correct statements of the triangle are; AC = 5 cm; BA = 4 cm; The perimeter of triangle ABC is 12 cm.

What are the correct statements of the Triangles?

As we know that a, b, and c are midpoints of the sides of right triangle that means midpoint divide the side in equal parts.

Now we have to calculate the sides of triangle ABC by using Pythagoras theorem.

Using Pythagoras theorem in ΔACF :

AC² = FA² + CF²

Thus;

AC² = 3² + 4²

AC = √25

AC = 5

Using Pythagoras theorem in ΔDAB, we have;

BA = √(5² - 3²)

BA = 4 cm

Using Pythagoras Theorem, we have;

CB = √(5² - 4²)

CB = 3 cm

Perimeter of ΔABC = Side AB + Side CB+ Side AC

Perimeter of ΔABC = 4 + 3 + 5

Perimeter of ΔABC = 12 cm

Area of ΔABC = (1/2) * 4 * 3 = 6 cm²

Area of ΔDEF = (1/2) * 8 * 6 = 24 cm²

Area of ΔABC =  (6/24) * Area of ΔDEF

Area of ΔABC = (1/4) * Area of ΔDEF

Read more about Correct Triangle Statements at; https://brainly.com/question/12852445

#SPJ5

Final answer:

Given the information provided, we can determine the lengths of the sides of triangle ABC and its perimeter and area.

Explanation:

Given that points A, B, and C are midpoints of the sides of right triangle DEF, we can determine the lengths of the sides using the information provided.

BC = 6 cmAC = 5 cmBA = 4 cmDE = 10 cmFD = 6 cmFE = 8 cm

To find the perimeter of triangle ABC, we sum the lengths of all three sides: AB + BC + CA. Substituting the given lengths, AB = BA = 4 cm, BC = 6 cm, and CA = AC = 5 cm, the perimeter is 4 cm + 6 cm + 5 cm = 15 cm.

The area of triangle ABC can be determined using the formula A = bh, where b is the base and h is the height. Triangle ABC and triangle DEF are similar triangles, so their areas are proportional. Since point A is the midpoint of DE, half the base of triangle DEF is equal to the base of triangle ABC. Substituting the given length of DE = 10 cm, the base of triangle ABC is 10 cm / 2 = 5 cm. The height of triangle ABC is equal to the length of AC = 5 cm. Therefore, the area of triangle ABC is A = 5 cm * 5 cm = 25 cm².

Consider the equation: 3(–4n – 9) = 21

Use the distributive property and properties of equality to solve for n.

n = ???

Answers

3(-4b - 9) = 21

3 * -4 = -12 3 * -9 = -27

-12b - 27 = 21
+27 +27

-12b = 48 “Divide both sides by 12b”


n = -4

Answer:

-4

B

The second one.

Step-by-step explanation:

Work out the equation of the line which passes through the point (1,-2)and is parallel to the point y=x+4

Answers

Answer:

y = x - 3

Step-by-step explanation:

Basically, if the lines are parallel, they have the same slope, right? So that part is already complete

And to get the rest of the equation, plug in the points -2 and 1 into the equation for the x values. Then set the equation to solve for b

After you do that you should get b = -3

The slope is 1 and the y-int is -3

Thank me later ;)

Factor as the product of two binomials.
X^2 – 10x + 21

Answers

You can use the butterfly method. Two numbers that equal A times C must also add up to B. A=1 B=-10 C=21. A times C is 21 and B is -10. Two numbers that multiply to 21 and add to -10 are -7 and -3. Factored form: ( x - 7 )( x - 3 ).

The requried expression of the given expression which is a product of two binomials is (x - 3)(x - 7).

What is a polynomial function?

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial, and trinomial, etc. ax+b is a polynomial.

Here,
Given expression,
x² - 10x + 21 = 0

In order to factor the above expression in two binomial expressions, split the 10x in two where the multiplication of two numbers produces 21 and their difference produces -10x,
So,
y = x² -7x -3x + 21
y= x(x - 7) - 3 (x - 7)
y = (x - 3)(x - 7)

Thus, the requried expression of the given expression which is a product of two binomials is (x - 3)(x - 7).

Learn more about polynomial functions here:

https://brainly.com/question/12976257
#SPJ5

which equation best fits the graft data

Answers

Answer:

I think it's C

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

A graph can only be curved when it has an exponential. B and C are slopes so it cannot be that.

Janell has a 10 inch by 12 inch photograph. She wants to scan the photograph

Answers

Complete Question:

Janeel has a 10 inch by 12 inch photograph. She wants to scan the photograph, then reduce the results by the same amount in each dimension to post on her Web site. Janeel wants the area of the image to be one eight of the original photograph. Write an equation to represent the area of the reduced image. Find the dimensions of the reduced image.

Correct Answer:

A) [tex](10-x)(12-x)=15[/tex]

B) Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

Step-by-step explanation:

a. Write an equation to represent the area of the reduced image.

Let the reduced dimensions is by x , So the new dimensions are

[tex]length=10-x\\breadth=12-x[/tex]

According to question , Area of new image is :

⇒ [tex]Area = \frac{1}{8}Length(breadth)[/tex]

⇒ [tex]Area = \frac{1}{8}(10)(12)[/tex]

⇒ [tex]Area = 15[/tex]

So the equation will be :

⇒ [tex](10-x)(12-x)=15[/tex]

b. Find the dimensions of the reduced image

Let's solve :  [tex](10-x)(12-x)=15[/tex]

⇒ [tex]120-10x-12x+x^2=15[/tex]

⇒ [tex]120-22x+x^2=15[/tex]

⇒ [tex]x^2-22x+105=0[/tex]

By Quadratic formula :

[tex]x = \frac{-b \pm \sqrt{b^2-4ac} }{2a}[/tex]

⇒ [tex]x = \frac{22 \pm8 }{2}[/tex]

⇒ [tex]x = \frac{22 +8 }{2} , x = \frac{22 -8 }{2}[/tex]

⇒ [tex]x = 15 , x =7[/tex]

x = 15 is rejected ! as 15 > 10 ! Side can't be negative

⇒ [tex]x =7[/tex]

Therefore, Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

The Northwestern huskies had a
record of 25 wins and 45 losses.
What was the ratio of wins to
losses?

Answers

Answer:

5:9 | 5/9 | 5 to 9

Step-by-step explanation:

you can choose any form

Answer:

25:45 or simplified 5:9

Step-by-step explanation:

to simplify find a common factor and divide both by that number to simplify.

A=[3 2 0-1] B= [2 .6 8 3] what is matrix A + matrix B?

Answers

Answer:

[5 2.6 8 2]

Step-by-step explanation:

For this we simply add the digits

A+ B

[3+2 2+.6 0+8 -1+3]

[ 5 2.6 8 2]

There are 18 offensive players on the hockey team. How many ways can the coach choose a left wing, center, and right wing to start the game?

Answers

Answer:

4896 ways

Step-by-step explanation:

We have a total of 18 players, and we want to form groups of three, where the order matters, because there are different roles for each player, so this is a permutation problem.

We solve this problem calculating a permutation of 18 choose 3:

P(18,3) = 18! / (18-3)! = 18! / 15! = 18 * 17 * 16 = 4896

So the coach has 4896 ways to choose the left wing, center and right wing.

Answer: There are 4,896 possible ways

Step-by-step explanation: If there are 18 offensive players on the hockey team, and there is a need to make a selection of three players for three different positions, that means each time you choose one player there is an 18 times 17 (18 x 17) other possibilities for the remaining players. If you choose the next player, there would now be a  17 times 16 (17 x 16) other possibilities for the remaining players, hence we need a formula for the arrangement of 3 players to be chosen from a total of 18.

From the first explanation, if we were to make an arrangement to choose all 18 players the permutation would be given as;

P = 18! (18 factorial)

Which is 18 x 17 x 16 x 15 x 14 x... x 1

However the permutation for selecting just 3 out of the 18 players is given as;

P = 18! ÷ 15!

And this results in;

P = 18 x 17 x 16

P= 4896

Therefore there are 4,896 possible ways

**Note that 18! divided by 15! leaves you with the possible arrangement for 3 persons which is explained as 18 x 17 x 16**

A chef buys a 1-gallon jug of milk for a cookie recipe. He first uses 1/4 of the milk. Then he uses 2/3 of the remaining milk. How much milk is left in the jug?

Answers

Answer:

1/12 of a jug is what is left

Henry wants to double his cake recipe that uses 2 cup 10tbsp of flour. How much flower will he need?

Answers

Answer:

5 cups and 4 tbsp

Step-by-step explanation:

4 cups and 20 tbsp of flour

There are 16 tablespoons in 1 cup

5 cups and 4 tbsp

5 cups and 4tbsp because I looked at the top answer lol

BRAINLIEST!!!!
5. Graph the given relation or equation and find the domain and range. Then determine whether the relation or equation is a function.
(3.9, 5.9), (–1.1, 5.9), (–4.1, 3.9), (–4.1, –2.1)

Answers

Given:

Given that the coordinates are (3.9, 5.9), (–1.1, 5.9), (–4.1, 3.9), (–4.1, –2.1)

We need to determine domain and range and also find whether the relation is a function.

Domain:

The domain is the set of all independent x - values.

Thus, we have;

[tex]Domain=\{3.9,-1.1,-4.1\}[/tex]

Thus, the domain is {3.9,-1.1,-4.1}

Range:

The range is the set of all dependent y - values.

Thus, we have;

[tex]Range=\{5.9,3.9,-2.1\}[/tex]

Thus, the range is {5.9,3.9,-2.1}

Function:

We need to determine whether the given relation is a function.

For a relation is said to be a function, if every value of x has only one image in the y - coordinate.

After plotting the graph, it is obvious that the x - value -4.1 has two images 3.9 and 2.1

Hence, the given relation is not a function.

Cameron was shooting basketballs during recess. he made 30 baskets and missed 10. based on this information,how many baskets will cameron miss if he shoots a total of 8 times

Answers

Answer:

He will miss 2 shots.

Step-by-step explanation:

40 Total Shots

He missed [tex]\frac{10}{40}[/tex]

[tex]\frac{10}{40} = \frac{x}{8} \\40x = 80\\x=2[/tex]

Wilson is 6 years older than Mary. Wilson's age is 10 years less than five times Mary's age. The equations below model the relationship between Wilson's age (w) and Mary's age (m):
w = m + 6
w = 5m - 10
Which is a possible correct method to find Wilson's and Mary's ages?
Solve W + 6 = 5w - 10 to find the value of w.
Write the points where the graphs of the equations intersect the x axis.
Solve m + 6 = 5m - 10 to find the value of m.
Write the points where the graphs of the equations intersect the y axis.

Answers

Final answer:

The correct method to find Wilson's and Mary's ages with the given equations is to solve the equation m + 6 = 5m - 10 by substitution, which will give you the value of Mary's age (m). After finding m, you can then solve for Wilson's age (w).

Explanation:

Among the provided methods to find Wilson's and Mary's ages based on the given equations w = m + 6 and w = 5m - 10, the correct approach is to solve m + 6 = 5m - 10 to find the value of m, Mary's age. This is due to the fact that by substituting the expression for w from the first equation into the second, we isolate m and solve for it directly. Here is how you'd solve it step by step:

First, substitute w from the first equation into the second equation, resulting in m + 6 = 5m - 10.

Next, rearrange the terms to get all the m terms on one side: 5m - m = 10 + 6.

Then, simplify to find that 4m = 16.

Last, divide both sides by 4 to get m = 4.

Once you have m, substitute it back into either of the original equations to find w. In this case, w = 4 + 6 = 10.

Graphical solutions involving the x or y axis do not apply directly to solving the system of equations and are therefore not correct methods for this particular problem.

Y is equal to 6 less than the product of x and -1.if the output is -15 what is the input

Answers

Given:
y = (x)(-1) -6
y = -15


Plug values in and solve for x:
-15 = -x - 6
-9 = -x
x = 9

The angle of elevation from L to K measures 24°. If KL = 19, find JL. Round your answer to the nearest tenth.

Answers

Answer:

jl = 19cos24 = 17.4.   jk = 19sin24 = 7.7.

Step-by-step explanation:

We have a rt. triangle; the hyp is kl

and the hor side is jl. The angle between the hor side and hyp = 24 deg.

The value of JL rounding up to the nearest tenth will be 17.36.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

Angle is the measurement of rotation motion for example if you want to measure the length in rotation geometry then it is helpful.

Given that the KL = 19 units, the angle LJK = 24°

Now by a trigonometric function

cos24° = Jl/19

JL = 19 × cos24°

JL = 17.36 hence, the correct answer or the length of the JL is 17.36 units.

For more about the angle

brainly.com/question/13954458

#SPJ5

Twice one number added to another
number is 18. If the second number is equal
to 12 less than 4 times the first number, find
the two numbers.
First complete the equations below, where x stands for
the first number and y stands for the second number.
2x + y = 18; y = [?]x-[]

Answers

Answer:

The Answer is: The first number is 5 and the second one is 8.

please give me brainliest!! :)

Step-by-step explanation:

Let f = first number and s = second number

Twice the first number added to the second number is 18:

2f + s = 18

The second number is equal to 4 times the first number minus 12:

s = 4f - 12

Substitute:

2f + (4f - 12) = 18

6f - 12 = 18

6f = 18 + 12

6f = 30

f = 5, is the first number.

Solve for the 2nd number:

s = 4(5) - 12 = 20 - 12 = 8, is the second number.

Proof:

2f + s = 18

2(5) + 8 = 18

18 = 18

Hope this helps! Have an Awesome Day! :-)

Answer:

y = 8

x = 5

Step-by-step explanation:

This is a system of equations problem

Set up your two conditions:

2x + y = 18

y = 4x - 12

rearrange them to match

y = -2x + 18

y =   4x - 12

combine them by subtracting one equation from the other in such a way that it eliminates one variable. In this case I choose to subtract each value from the second equation from the first one

0 = -6x + 30

solve

6x = 30

x = 5

plug in the x value to solve for y

2(5) + y = 18

10 + y = 18

y = 8

How do you find the square root of a decimal?

How do you find the square root of a fraction?

Answers

Answer:

To find the square root of a fraction you first have to find the square root of the numerator and the denominator if your denominator has a square root that is irrational then you multiply the numerator and the denominator by that irrational number.

To find the square root of a decimal you have would have to divide two numbers like 64 and 8

Step-by-step explanation:

Final answer:

To find the square root of a decimal, use a calculator. Convert the fraction to a decimal first and then use the same process.

Explanation:

To find the square root of a decimal, you can use a calculator. Simply enter the decimal number and press the square root button. The calculator will give you the square root as a decimal or a simplified fraction, depending on the value.

For example, to find the square root of 4.45, enter it into the calculator and press the square root button. The calculator will give you the result as approximately 2.107.

To find the square root of a fraction, you can use the same process. Convert the fraction to a decimal by dividing the numerator by the denominator. Then, follow the steps for finding the square root of a decimal using a calculator.

The Sum of The Angles in a Triangle

Answers

Answer:

A=20

Step-by-step explanation:

180-110=70

90+70=160

180-160=20

Answer:

20°

Step-by-step explanation:

We know that the exterior angle of a triangle is equal to the sum of interior opposite angles.

<B + <A = <C

90° + <A = 110°

<A = 110° - 90°

<A = 20°

Mark and his three friends ate out at Applebee’s. Their bill totaled $104.70. If they left the server a 20% tip, how much would each person pay splitting the bill evenly?

Answers

Answer:

$31.41!

Step-by-step explanation:

It’s will be 31.41 dollars
Other Questions
The point A has coordinates A(2, 4). What are the coordinates of A for the dilation D1.5(A)? What is the solution to the equation One-fourth x minus one-eighth = StartFraction 7 Over 8 EndFraction + one-half x? Consider the reaction below.HCIO3 + NH3 NH4+ + CIO3-Which is a base-conjugate acid pair?NH3 and CIO3-NH3 and NH4+HCIO3 and NH3HCIO3 and NH4+ What is 7 divided by 588 How many liters of 1.5 M potassium permanganate could be made if 152 g of the solute are available? Lobe finned fish include the ancestors of 15. A scale drawing of a rectangular field has a length of 4.5 inches and a width of3 inches. If the scale is 0.5 inch : 10 feet, what is the actual width of the field?A. 6 feetB. 15 feetC. 30 feetD. 60 feet Before Xerxes I invaded Greece, what did he first need to do?put down a revolt of Ionian Greeksdefeat revolts in Babylon and Egyptsupport Sparta in the Peloponnesian Warsbuild the Royal Road so his army could reach Greece how do you find the velocity of a wave? Jason got 16 hits in his baseball tournament. Two of his hits were home runs, ten were ground balls and the rest were line drives. If Jason's mom only got to see one game during the tournament, what was the probability that she saw Jason hit a line drive? 40. Using simple math, the Water Utility Fund of Eugene, Oregon has the following subtotals on its December 31, 2019 Statement of Net Position: Total Current and Accrued Assets, $2,000; Total Restricted Assets, $1,050; Net Utility Plant, $10,500; Other Assets, $60; Total Current Liabilities, $800; Liabilities payable from restricted assets, $250; and Long-term Liabilities, $7,900. How much would be the net positionUnrestricted? A. $1,200. B. $1,260. C. $950. D. $2,000. Thomas had a resting metabolism of 1800 calories at age 15. What would his resting metabolism most likely be at age 30? 900 calories 1700 calories 2300 calories 3600 calories 10. A circle has an arc with measure 80 and length 887. What is thediameter of the circle? An AC generator with an output rms voltage of 42.0 V at a frequency of 60.0 Hz is connected across a 20.0-?F capacitor. Find the following. (a) capacitive reactance ? (b) rms current A (c) maximum current in the circuit A (d) Does the capacitor have its maximum charge when the current takes its maximum value? Yes No PLEASE HELP TUME LIMIT IS 10 MINUTES Think about the statement, Business people are moral people. Briefly write yourreaction to the statement...what does this mean? If 3ab = c, then solve for a Help me! Write an equation to describe the relationship in each table. Check out the attachment to see the tables! What is the following quotient? StartFraction StartRoot 120 EndRoot Over StartRoot 30 EndRoot EndFraction 2 4 2 StartRoot 10 EndRoot 3 StartRoot 10 EndRoot 637.2 x 8.49 estimate