Which of the following are possible equations of a parabola that has no real solutions and opens downward?

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

Answers

Answer 1

Answer:

[tex]y = - {(x - 4)}^{2} - 2[/tex]

[tex]y = - {(x + 4)}^{2} - 2[/tex]

[tex]y = - {x}^{2} - 2[/tex]

Step-by-step explanation:

A vertex form equation of a parabola is of the form

[tex]y = a(x - h)^{2} + k[/tex]

with vertex at (h,k).

If a parabola opens downwards, then a<0.

If the vertex of such parabola is below the x-axis, then it has no real solution, because it will not intersect the x-axis.

[tex]y = - {(x + 4)}^{2} - 2[/tex]

has vertex at (-4,-2), which is below x-axis.

[tex]y = - {(x - 4)}^{2} + 2[/tex]

has vertex at (-4,2)--->above x-axis

[tex]y = - {(x - 4)}^{2} - 2[/tex]

vertex at (4,-2) ---> below x-axis

[tex]y = - {x }^{2} - 2[/tex]

(0,-2)----> below x-axis


Related Questions

What is the value of the discriminant of the quadratic equation -2x^2=-8x+8, and what does its value mean about the
number of real number solutions the equation has?

Answers

Answer:

B: The discriminant is equal to zero which means it has one real number solution

Step-by-step explanation:

Answer:

b

on edge 100%

Step-by-step explanation:

Unit test
Which expression is the result of factoring the expression below by taking out its greatest common
factor?
12x2 + 8 = ?

Answers

Answer : 32
Solution: none

What is the correct answer?

Answers

It’s 4cm i think try it see if it’s right!!

Consider the figure below. What is the perimeter of the figure?

A. 73.4 units

B. 71.6 units

C. 69.1 units

D. 40.3 units

Answers

Answer:

73.4

Step-by-step explanation:

23-14=9

22.7-9=13.7

13.7+14=27.7

27.7+22.7+23=73.4

It costs $7.00 to purchase a
pair of goggles. then marks
the goggles up by 75%. How
much does Sam charge for a pair
of goggles ?

Answers

Answer:

12.25 U.S. dollars

Step-by-step explanation:

Answer:

$12.25

Step-by-step explanation:

We can solve this by first finding 75% of $7. To do this, we can do $7.00 x 0.75. The product of those is 5.25. Knowing that $5.25 is 75% of $7, we are able to add up $7 and $5.25, which gives us $12.25.

Hope this helped!

Mrs. Golub wants to share $7.20 equally among her three grandchildren. How much money should each grandchild get?

Answers

Answer: $2.40

Step-by-step explanation:

$7.20 divided by 3.

Answer:

They will get $2.4 each

Step-by-step explanation:

Mrs Golub haas $7.20 to share between 3 grandchildren

To share it equally, she should divide the amount by 3, which is

$7.20/3 = $2.4

Mr. Price flew 4,908 miles from New York to Hawaii. He then flew 3,525 miles from
Hawaii to Texas. How much farther was Mr. Price's trip from New York to Hawaii than
his trip from Hawaii to Texas?

Answers

The difference between the distances from New York to Hawaii than his trip from Hawaii to Texas is 1383 miles.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Mr. Price flew 4,908 miles from New York to Hawaii. He then flew 3,525 miles from Hawaii to Texas.

Therefore, The difference between the distances from New York to Hawaii than his trip from Hawaii to Texas is,

= (4908 - 3525)  miles.

= 1383 miles.

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Mr. Price's trip from New York to Hawaii was 1,383 miles longer than his trip from Hawaii to Texas.

Calculating the Distance Difference :

To find out how much farther Mr. Price's trip from New York to Hawaii was compared to his trip from Hawaii to Texas, we need to subtract the distance from Hawaii to Texas from the distance from New York to Hawaii.

Distance from New York to Hawaii: 4,908 milesDistance from Hawaii to Texas: 3,525 miles

Now, let's subtract the two distances:
4,908 miles - 3,525 miles = 1,383 miles

Therefore, Mr. Price's trip from New York to Hawaii was 1,383 miles longer than his trip from Hawaii to Texas.

Please answer I will mark branlest if you are right and I won't you all to be safe
Love you all

Answers

Answer:

3. x=21

4. x=28

5. x=35

Step-by-step explanation:

I did ths step by step on my whiteboard and I know my answers are right. Sorry if that sounds cocky.

Can I get brainliest?

Which equation results from adding the equations in this system?

Negative 6 x + 4 y = negative 8. 6 x minus 12 y = 14.
(A) Negative 16 y = 6
(B) Negative 8 y = 6
(C) Negative 8 y = negative 22
(D) Negative 16 y = negative 22

Answers

Answer: Negative 8y = 6

Step-by-step explanation:

[tex]-6x+4y = -8\\6x-12y = 14[/tex]

--------------------------

[tex]- 8y = 6[/tex]

Answer:

B

Step-by-step explanation:

just did test

Jon and Becky measured the circle-shaped part of a sun they drew on the sidewalk.
The diameter of the circle is 62 centimeters. What is the approximate area of the circle? (Use 3.14 for
.)
A.
3,017.54 cm?
B. 12,070.16 cm?
C. 194.68 cm2
D. 754.385 cm?

Answers

The approximate area of the circle is A

What is the volume of the cylinder with a diameter of 5 inches and a height of 8 inches? Nearest hundredth

Answers

Answer:

V= 307.72 cubic inches

Step-by-step explanation:

Cylinder Formula- Pi x Radius squared x the height. Multiply this and you get 307.72 cubic inches.

Which angle is adjacent to Angle D F E?

Line A F E is horizontal. Lines B, C, and D come out of point F.

Angle A F B

Angle A F C

Angle B F D

Angle B F C

Answers

Answer:

I think its <afb

Step-by-step explanation:

The required, adjacent angle to DFE is angle BFC. Option D is correct.

What is the angle?

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Angle BFC is next to angle DFE, and they share a common side, which is line segment EF. Therefore, we can stretch this statement as follows:

"When looking at the angle DFE and moving clockwise around the vertex F, the next angle encountered is angle BFC, which is adjacent to angle DFE and shares the side EF with it."

This restatement clarifies the location and relationship of angle BFC with respect to angle DFE.

Thus, the required, adjacent angle DFE is angle BFC. Option D is correct.

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Since all circles are similar, a proportion can be set up using the circumference and diameter of each circle. Substitute the values d1 = 1, C1 = π, and d2 = 2r into the proportion.

StartFraction C 1 Over d 1 EndFraction = StartFraction C 2 Over d 2 EndFraction

Which shows how to correctly solve for C2, the circumference of any circle with radius r?

A. Because StartFraction pi Over 1 EndFraction = StartFraction C 2 Over 2 r EndFraction , C 2 = 2 r pi

B. Because StartFraction 1 Over pi EndFraction = StartFraction C 2 Over 2 r EndFraction ,
2 = StartFraction 2 r Over pi EndFraction

C. Because StartFraction pi Over 2 r EndFraction = StartFraction C 2 Over 1 EndFraction , C 2 = StartFraction pi Over 2 r EndFraction

D. Because StartFraction pi Over 1 EndFraction = StartFraction C 2 Over 4 r EndFraction , C 2 = 4 r pi

Answers

Answer: A

Step-by-step explanation:I got it right

Answer:

The answer is A on Edge 2020

Step-by-step explanation:

I did the Quiz

Help plz worth 20 points

Answers

Answer:

y=1/4x-4

Step-by-step explanation:

Answer:

y=x+3

Step-by-step explanation:

Use the relationships between the angles to solve for x

x = _____ degrees

Answers

Answer:

x = 100

Step-by-step explanation:

Answer:

x = 100

Step-by-step explanation:

The sum of the opposite interior angles of a triangle is equal to the exterior angle

x+15 = 115

Subtract 15 from each side

x+15-15 = 115-15

x = 100

What is the slope of the line between the points (-2,1)and(1,3)?

Answers

Answer:

2/3

Step-by-step explanation:

The slope is found by

m = (y2-y1)/(x2-x1)

    = (3-1)(1--2)

     = (3-1)/(1+2)

     =2/3

We can use the points (-2, 1) and (1, 3) to solve.

Slope formula: y2-y1/x2-x1

= 3-1/1-(-2)

= 2/3

Best of Luck!

English
TIME REMAINING
56:59
A piece of carpet is 8 feet wide and 12 feet long. The carpet needs to be reduced by a scale factor so that the reduced carpet
is 2 feet wide. What is the area of the reduced carpet?
O 6 square feet
O 12 square feet
O 24 square feet
O 48 square feet
Save and Exit
Submit
Next
Mark this and return

Answers

Answer:

6 square feet

Step-by-step explanation:

Carpet has w= 8 ft and l = 12 ft

Reduced carpet has w' = 2 ft

Reduction factor is

8/2 = 4

Then

l' = l/4 = 12/4 = 3 ft

Area of small carpet

S = 2*3 = 6 ft²

What is the relationship between genes and chromosomes?


Genes contain one or more chromosomes.


Chromosomes use DNA code to manufacture genes.


Genes use DNA code to manufacture proteins for chromosomes.


Chromosomes contain one or more genes.

Answers

Answer:

D. Chromosomes contain one or more genes (really, they contain thousands.)

Step-by-step explanation:

The definition of a chromosome is a segment of DNA that contains a certain gene, which then codes for a protein.

Why not A: Chromosomes contain genes.Why not B: Genes contain the code to manufacture proteins. Chromosomes don't manufacture genes.Why not C: Genes do use DNA to code for proteins, but not "for chromosomes." Chromosomes are basically the pieces of DNA that contain genes, which code for specific functions in the body and specific proteins.

Answer:

D. chromosomes contain one or more genes.

Step-by-step explanation:

ik im like a year late and ur prolly done with the quiz by noowww but this is for other ppl who need it

cube


cylinder


hexagonal prism


square pyramid

Answers

The answer is cube I think

8 cm
10 cm
3 cm
What is the volume of the right rectangular prism?​

Answers

Answer:

240 cubic centimetres

Step-by-step explanation:

volume of the right rectangular prism

[tex] = 8 \times 10 \times 3 \\ = 240 \: {cm}^{3} [/tex]

Which equations represent the line that is perpendicular to the line 5x – 2y = -6 and passes through the point
(5,-4)? Select three options.
y=-x-2
2x + 5y = -10
2x - 5y = -10
y+ 4 = (x - 5)
y-4 = {(x+5)
Save and Exit
Nexi
Submit
Mark this and return

Answers

Answer:

Step-by-step explanation:

hello :

given the line  :  5x – 2y = -6

the answer is : 2x + 5y = -10  because :

1) this line passes through then point (5 ,-4) : 2(5)+5(-4)=-10....right

2)  the slope of   the given line is: 5/2   because 5x-2y=-6  equivalent to ;

2y =5x+6   so : y = (5/2)x+3

On the other hand :  2x + 5y = -10 equivalent to : 5y =-2x-10

y = (-2/5)-2  when the slope is : -2/5

the condition for the perpendicularity is : product two slope is : - 1

(5/2)(-2/5) =-1

−6x−3(x−2)
PLEASE HELP

Answers

Answer:

-9x + 6

Step-by-step explanation:

-6x−3(x−2)

Solution:

-6x−3(x−2)

-6x−3x+6

-9x + 6

A restaurant uses 4.375 pounds of cheese for every pizzas. At this rate, how many pounds of cheese are used per pizza?

Answers

Final answer:

To determine the amount of cheese used per pizza, divide the total amount of cheese (4.375 pounds) by the number of pizzas (50), which equals 0.0875 pounds of cheese per pizza.

Explanation:

To find out how many pounds of cheese are used per pizza, we calculate the cheese usage rate by dividing the total pounds of cheese by the number of pizzas. The given information tells us that 4.375 pounds of cheese are used for every 50 pizzas. To find the amount of cheese used per pizza, we divide 4.375 pounds by 50.

4.375 pounds ÷ 50 pizzas = 0.0875 pounds per pizza

Thus, the restaurant uses 0.0875 pounds of cheese for each pizza made.

Let y = safe load in pounds and x = depth in inches for a certain type of rectangular horizontal beam. A constant of
proportionality exists such that y = kx2.
Determine the constant k for a beam with y = 1,000 pounds and x = 5 inches.
What is a safe load if the depth of the beam is 10 inches?
800 pounds
4,000 pounds
10,000 pounds

Answers

I believe that it’s 4000

Answer: 40

Step-by-step explanation: I got it right :)

Which expression represents the volume of the cone

In the derivation of the formula for the volume of a cone,

the volume of the cone is calculated to be 4 times the

ne

volume of the pyramid that it fits inside

that is 4 times the volume of the pyramid that it fits

inside?

Answers

Answer:

Pi/4(4r²/3)

Step-by-step explanation:

D is the correct option.

Answer:

D. [tex]\frac{\pi}{4} (\frac{4r^{2}h }{3} )[/tex]

Step-by-step explanation:

Edge 2021

Please Help me. Will name brainliest

Answers

Answer:

least = 315 grams

great = 324 grams

Step-by-step explanation:

31.5 grams nearest gram is 32 grams

so 31.5 x 10 packets is 315 grams

also, 32.4 grams nearest gram is 32 grams

so 32.4 x 10 packets is 324 grams

hope it helps :D

Answer:

The least and the greatest weights are 315 grams and 325 grams

Step-by-step explanation:

Good luck!

Can someone please answer part A and B for me plz

Answers

Answer:

A. 25 miles per gallon

B. 225 miles

Step-by-step explanation:

Part A is asking for an average - how many miles does the car get out of each gallon. This can be found by dividing the total change in miles by the total change in gallons.

In this case, the changes in each are:

250 miles

10 gallons

250/10 is 25. Thus there are 25 miles per gallon.

Part B is asking for how much can you get with 9 gallons, meaning how many miles corresponds to 9 on the graph. The graph is at 225 miles at the x=9 mark, and thus the answer for part be is 225.

A square pyramid has a base area of 25 square inches, and a volume of
150 cubic inches. What is the height of the pyramid in inches? *

Answers

Answer: 18 in

Step-by-step explanation:

AB=a2

V=a2h

3

Solving forh

h=3V

AB=3·150

25=18in

Suive the equation.
3(k - 6) = 15

Answers

Answer:

k=11

Step-by-step explanation:

3(k - 6) = 15

Divide each side by 3

3/3(k - 6) = 15/3

k - 6 = 5

Add 6 to each side

k-6+6 = 5+6

k = 11

Answer:

k=11

Step-by-step explanation:

3(k-6) = 15

k-6 = 15/3

k-6=5

k=5+6

k=11

What is the value of the expression when x = -2?

Answers

Final answer:

When x is substituted with -2 in the given expression, the value of the expression is 1.

Explanation:

Given the expression and the value of x, we can substitute x with -2 and evaluate the expression.  For example, if the expression is x² + 2x - 3 and you want to find the value when x = -2, then you'd substitute x = -2 into the expression giving (-2)² + 2*(-2) - 3 = 4 - 4 - 3 = -3. Substituting values in, simplifying, and solving is the general process to follow when coming across this kind of problem in quadratic equations or other areas of Algebra.

Let's say the expression is 2x + 5. Substituting x with -2, we get:

2*(-2) + 5 = -4 + 5 = 1

Therefore, the value of the expression when x = -2 is 1.

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