For each parabola, a) Write the equation of the function; b) Give the minimum or maximum value of the function; c) Find the domain and range.

Answers

Answer 1

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

For question 5:

For point a:

[tex]\to y=x^2[/tex]

For point b:

[tex]Maximum (0,0)[/tex]

For point c:

[tex]Domain: (-\infty,+ \infty)\\\\Range: (-\infty, 0)[/tex]

For question 6:

For point a:

[tex]\to y=-x^2[/tex]   (the negative sign is used to change the direction of the parabola)

For point b:

[tex]Maximum (0,0)[/tex]

For point c:

[tex]Domain: (-\infty,+ \infty)\\\\Range: (0,+\infty)[/tex]

For Each Parabola, A) Write The Equation Of The Function; B) Give The Minimum Or Maximum Value Of The

Related Questions

24. A bookshelf has n fiction books and six non-fiction books. If there are 150 ways to choose two
books of each type, how many fiction books are on the bookshelf?

Answers

Answer:

por no esudiar

The area of cross section of the large piston in a hydraulic machine is 1m² and that of small piston is 0.5m².calculate the force that must be applied on the small piston to lift a load of 1000N on the large piston

Answers

Answer:

The force that must be applied on the small piston has a magnitude of 500 newtons.

Step-by-step explanation:

By Pascal's Principle, we know that pressure within any point of a closed hydraulic system is the same. Hence, the hydraulic machine can be described by the following model:

[tex]\frac{F_{1}}{A_{1}} = \frac{F_{2}}{A_{2}}[/tex] (1)

Where:

[tex]F_{1}, F_{2}[/tex] - Forces applied on the small and large pistons, in newtons.

[tex]A_{1}, A_{2}[/tex] - Areas of the small and large pistons, in square meters.

If we know that [tex]A_{1} = 0.5\,m^{2}[/tex], [tex]A_{2} = 1\,m^{2}[/tex] and [tex]F_{2} = 1000\,N[/tex], then the force to be applied on the small piston is:

[tex]F_{1} = \left(\frac{A_{1}}{A_{2}} \right)\cdot F_{2}[/tex]

[tex]F_{1} = \left(\frac{0.5\,m^{2}}{1\,m^{2}} \right)\cdot (1000\,N)[/tex]

[tex]F_{1} = 500\,N[/tex]

The force that must be applied on the small piston has a magnitude of 500 newtons.

How many different 5-letter codes can you make from the letters in the word "company"?

Answers

Answer:

any, camp,man,and,pan

Answer:

21 codes

Step-by-step explanation:

The word "company" has 7 letters.

Combination of 5-letter codes:

7C5 = 7!/5!2! = 7*6/2 = 21 codes

i will mark brainest if you can tell me what x+l cubed it

Answers

Answer: XLCubed (XLCubed Ltd) is a business intelligence software and consulting services company. ... XLCubed software is used by business end users to create dynamic reports, dashboards, and planning solutions which are then deployed either via Microsoft Excel or the Web.

Step-by-step explanation:

Θ 100%
Katie has a bag of multicolored candies. She notices that
of the candies are red.
What percent of the candies are red?
A. 2%
B. 5%
C. 20%
D. 50%
O

Answers

I think it’s b or c mostly b
The answer would be c

A gas pump filled a 27 gallon tank in 6 minutes.How many minutes will it take to fill an 18 gallon tank?

Answers

Answer:

4 minutes

Step-by-step explanation:

27  gallon -> 6 min

1 min -> 27 ÷ 6

             = 4.5 gallon

18 ÷ 4.5 = 4 min

Examine the diagram of circle O, where JW⎯⎯⎯⎯⎯⎯⎯⎯ and JV⎯⎯⎯⎯⎯⎯⎯ are tangent to circle O at points W and V, respectively. The diagram as described in the problem. © 2016 StrongMind. Created using GeoGebra. If JW=x8+4 and JV=x4+2, what is the length of JW?
a. 2
b. 6
c. 16
d. 10

Answers

Answer:

6

Step-by-step explanation:

Just got it right.

I'm really lost . can somebody plz help ​

Answers

Answer:

7.5

Step-by-step explanation:

Median = middle number in terms of value

To make it easier to identify the middle number lets list the number from least to greatest

1, 4, 4, 7, 8, 8, 10, 15

Now we can simply find the middle number

We notice that there are two middle numbers as there is an even amount of numbers

Those two numbers being 7 and 8

When finding the median, if there are two middle numbers, you simply add the two numbers together and divide the sum by two to get the median.

So median = 8 + 7 = 15 / 2 = 7.5

Answer:

7.5

Step-by-step explanation:

The median of a set of numbers is the middle number, so we have to order them first from least to greatest. The order would be 1, 4, 4, 7, 8, 8, 10, 15. You can see that there are an even number of numbers, so if we take the two numbers in the middle of the order (7 and 8) and add them to get 15 and divide 15 by two, we get an answer of 7.5.

I hope this helped you!

-8x+4=-26x+1

please help me out​

Answers

Answer:

0

Step-by-step explanation:

I did it in standard form but this is the equation 18x + 3 = 0

Answer:

x = -1/6

Step-by-step explanation:

-8x+4=-26x+1

4-1 = -26x+8x

3 = -18x

3/-18 = x

x = -1/6

Which equation represents an inverse variation?
O y = 2x
Oy-
O yo
X
O y = -5x

Answers

O y = 2x is the answer

Jenna sells apples and pears. If 20 apples and 60 pears re sold every hour, there will be 80 pears when all the apples are sold. If 60 apples and 20 pears are sold every hour, there will be 400 pears when all the apples are sold. How many pears are there at the stall?

Answers

Answer:

There are 1,360 pears.

Step-by-step explanation:

Suppose that there are P pears and A apples.

We know that:

"If 20 apples and 60 pears are sold every hour, there will be 80 pears when all the apples are sold."

Suppose that all of these are sold after N hours, then:

20*N = A

80*N = P - 80

We also know that:

"if 60 apples and 20 pears are sold every hour, there will be 400 pears when all the apples are sold."

60*N = A

20*N = P - 400

Then we have four equations:

20*N = A

80*N = P - 80

60*N = A

20*N = P - 400

From the first one and the second one, we get:

20*N = A = 20*N = P - 400

A = P - 400

Now we have 3 equations:

80*N = P - 80

60*N = A

A = P - 400

Now we can just replace the third equation into the second one, then we get:

60*N = A = P - 400

Now we have two equations:

80*N = P - 80

60*N = P - 400

Now, remember that we want to find the number of pears, so we want to find the value of P.

To do it, we can take the quotient of the two equations, so we get:

(80*N)/(60*N) = (P - 80)/(P - 400)

8/6 = (P - 80)/(P - 400)

Now we can solve this for P

(8/6)*(P - 400) = P - 80

(8/6)*P - (8/6)*400 = P - 80

(8/6)*P - P = (8/6)*400 - 80

(2/6)*P = (8/6)*400 - 80

P = (6/2)*( (8/6)*400 - 80 )

P = 3*( (8/6)*400 - 80 ) = 1,360

There are 1,360 pears.

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

the formula is C=2√πA

so simplifying that would give us c=2(4π)

simplify again and we get c=8π

What is the area of this figure? Enter enter in the box ___units2

Answers

Answer:

Step-by-step explanation:

U still in school

Answer:

42 square units

Step-by-step explanation:

We can divide the figure in two triangles and one rectangle

the two triangles are congruent

base  = |-5-2| = 7

height = 2

Total area of the two triangles = (7 *2)/2 * 2 = 14 square units

the rectangle have the length that is equal to the base of the triangles

height = |-2-2| = 4

Area = 7 *4 = 28 square units

Final area = 14+ 28 = 42 square units

For each part below use the figure to fill in the blank if necessary you may learn what the markings on a figure indicate PLZ HELP I WILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

j=the money used in south Africa is is called the rand . the estrange rate 7 rand for $1. Find how many dollars you would receive if you estrange 21 rand.

Answers

Answer:

$3

Step-by-step explanation:

21 rand /7

please help me solve

please show how you got the answer

Answers

Answer:

Based on the linear relation shown above, when the y coordinate is 3, the x coordinate is 8.

Step-by-step explanation:

This is because every time you add an input of 2, you subtract an output of 4.

Basically in the x value you add 2 while in the why value you subtract 4.

(2, 13) (4, 9) (6, 5) (8, 1)

Answer:

8

Step-by-step explanation:

A regular octagon has a perimeter of 30 centimeters. Find the length of each side.

Answers

Step-by-step explanation:

Perimeter=8l

30cm=8l

l=30/8=3.75cm

Answer and Step-by-step explanation:

An octagon has 8 sides in total. The perimeter of a shape is the sum of all sides added together.

To find the length of each side, we divide the perimeter by the amount of sides.

30 ÷ 8 = 3.75

The answer is 3.75 centimeters.

#teamtrees #PAW (Plant And Water)

5(2x + 1) = 35 solve

Answers

Answer:

3

Step-by-step explanation:

5(2x + 1) = 35

10x + 5 = 35

10x = 30

x = 3

Determine the length of side CB.
A)
5
B)
5V
5V
D)
10

Answers

Answer:  [tex]5\sqrt{3}[/tex]  which is choice C

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

Explanation:

This is a 30-60-90 triangle. The short leg is 5, as it's opposite the smallest angle. The long leg is [tex]\sqrt{3}[/tex] times that of the short leg.

Which side lengths form a right triangle?​

Answers

Answer:

[tex]\text{B. }1.5, 2, 2.5,\\\text{C. }4, 4, \sqrt{32}[/tex]

Step-by-step explanation:

All right triangles must follow the Pythagorean Theorem [tex]a^2+b^2=c^2[/tex] where [tex]c[/tex] is the hypotenuse of the triangle.

Verify:

[tex]1.5^2+2^2=2.5^2\checkmark,\\4^2+4^2=\sqrt{32}^2\checkmark[/tex]

Select the correct answer from each drop-down menu.
AB - CD Point Pis the midpoint of AB. Point Q is the midpoint of CD. Point Ris the midpoint of AP. Point Sis the midpoint of QD
is an invalid relation.
Because point Ris the midpoint of AP and point Sis the midpoint of QD
we can conclude that

Answers

Answer:

The invalid statement is 4) Segment AP is congruent to segment PQ.

We conclude that          2) Segment RB is congruent to segment CS.

Step-by-step explanation:

Hope this Helps Have an good day!!

Given, line segment AB & CD

Here, P is the midpoint of AB ⇒ AP=PB

&       Q is the midpoint of CD ⇒ CQ=QD

It is given that P is point on AB not on CD ∴ there is no relation of point P with line segment CQ.

Hence, the invalid statement is

Segment AP is congruent to segment PQ.

Now, given that R is the midpoint of AP ⇒ AR=RP

& S is the midpoint of QD ⇒ QS=SD

AB≅CD     (Given)

 ≅  

PB ≅ CQ       (∵from midpoint statements)

∵ PA=QD ⇒ PR=QS

Because    PB≅CQ  

           PB+PR≅CQ+QS

⇒               RB≅CS

Therefore, Segment RB is congruent to segment CS

Answer:

Segment AP is congruent to segment PQ

Segment RB is congruent to segment CS

Step-by-step explanation:

15. What is the average low temperature forecasted
for the five days?

Monday: (Low F) 42 (High F) 55

Tuesday (Low F) 44 (High F) 57

Wednesday (Low F) 45 (High F) 60

Thursday (Low F) 34 (High F) 45

Friday (Low F) 40 (High F) 50

Answers

answer:
41 degrees
step-by-step explanation:
find the mean
42 + 44 + 45 + 34 + 40
205/5
41

What is the sign of -x/-y when x > 0 and y > 0?

Answers

Answer:

pretty sure its positive

Step-by-step explanation:

hope this helps, have  a great day!

Answer:

A is correct

Step-by-step explanation:

if we know that both x and y are positive, they are both going to be negative

and since we know that, -x divided by -y is the same as saying something negative divided by something negative which is ALWAYS positive because negatives cancel out leaving the answer positive something, something

What is the length of Line segment A C?

3 ft
4 ft
18 ft
12 ft

On edge unity pls help

Answers

Answer:

4

Step-by-step explanation:

because its 4

The length of Line segment AC is 12ft.

Similar triangles

The given triangle ABC is similar to triangle BMN

The length of AM = BM = 4ft

The length AB = BM + AM = 4 ft + 4ft = 8ft

The length of Line segment AC is calculated by using similar triangle proportions as follows;

[tex]\frac{AB}{BM} = \frac{AC}{MN} \\\\\frac{8}{4} = \frac{AC}{6} \\\\2 = \frac{AC}{6}\\\\AC = 2(6)\\\\AC = 12 \ ft[/tex]

Learn more about similar triangles here: https://brainly.com/question/11899908

Suppose $p$ and $q$ are inversely proportional. If $p=28$ when $q=7$, find the value of $p$ when $q=49$.

Answers

Answer:$p$ =$4 when $q=49$.

Step-by-step explanation:

If $p$ and $q$ are inversely proportional, then mathematically, they are represented as

$p$ ∝ 1/$q$

So that introducing the constant of proportionality,k becomes

$p$ =k 1/$q$

$p$ =k /$q$

When $p=28$ when $q=7$,K becomes

$p$ =k /$q$

$28=K/ $7

k=$28 x $7 =$196

Now when $q=49$.,  $p$ becomes?

$p$ =k /$q$

$p$ =$196/49$

$p$ =$4

what is the Quotient of 16.29÷100​

Answers

Answer:

~0.16

Step-by-step explanation:

quotient, i believe, is just the answer to a division problem. divide normally and u get 0.1629

Answer:

Maybe the answer is 0.1629

What is the answer to the expression -5x + 1 = 31

Answers

Answer:

x = -6

Step-by-step explanation:

-5x + 1 = 31

Subtract 1 from each side

-5x + 1-1 = 31-1

-5x = 30

Divide by -5

-5x/-5 = 20/-5

x = -6

Answer:

x = - 6

Step-by-step explanation:

- 5 x + 1 = 31

subtract 1 from 31

- 5 x = 31 - 1

- 5 x = 30

Divide 30 by - 5

x = 30 / - 5

x = - 6

a+b=2ab
b+c=3bc
cta=7ca

Answers

Answer:

a+b=2ab

b+c=2bc

c+a=2ca

Help me with area, please.

Answers

Answer:

Num. 2: A = 25, Num. 3 = 63, Num. 4 = 80

Step-by-step explanation:

I'll help with as many as I can, so a few of them I won't be able too answer. You should re-post those later. Good luck, hope this helps.

For number 2:

First, turn the triangle into a rectangle by cutting it in half and attaching it to the other half so it forms a rectangle.

Since you cut the triangle in half, you also have to split 5 in half, so the bottom length is now 2.5.

Now, simply multiply 2.5 by 10, and you have the area for number 2.

The area for number 2 is 25.

For number 3:

This one is much easier. Just think of the shape as a normal square that has been tipped to the side. That means that you would solve for area the same way: 9 x 7, which means that the area for number 3 is 63.

For number 4:

This one is also easy. Simply cut, and paste. Now the right side is 10, and the top side is 8. Multiply, and the area will be 80 m.

Please re-post 1 and 5, as I am not able to solve them. Sorry this answer took so long!

Hi I need help can someone please help

Answers

Answer:

Angles 1 and 2 are 115 degrees. Angles 3 and 4 are 65 degrees.

Step-by-step explanation:

7x - 4 + 3x + 14 = 180 (angles 1 and 3 form a straight line so they add to 180 degrees)

10x + 10 = 180

10x = 170

x = 17

m<1 = 7(17) - 4 = 115

m<3 = 3(17) + 14 = 65

Opposite angles are equivalent so m<2 = 115 and m<4 = 65.

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