Which is true for the following equation?
f(x) = −4x2 + 6x − 7
A) The graph opens up and the vertex is a maximum.
B) The graph opens up and the vertex is a minimum.
C) The graph opens down and the vertex is a maximum.
D) The graph opens down and the vertex is a minimum.

Answers

Answer 1

Answer:

C) The graph opens down and the vertex is a maximum.

Step-by-step explanation:

Just took the quiz on K12, good luck! :)

Answer 2

Option (C) will be the correct option.

Properties of a quadratic equation: If a quadratic function has been given as,

         f(x) = ax² + bx + c

         Vertex of the parabola is represented by [tex][-\frac{b}{2a}, f(\frac{b}{2a})][/tex]

         And the sign of the leading coefficient decides the opening of the

         parabola.

         For positive sign of 'a' → Parabola will open upwards

         For negative sign of 'a' → Parabola opens downwards

Quadratic function given in the question is,

f(x) = -4x²+ 6x - 7

Leading coefficient → (-4)

Negative sign represents the opening of the parabola downwards.

And the vertex will be a maximum.

           Therefore, Option (C) will be the correct option.

Learn more about the quadratic function here,

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Related Questions

Which lizard is growing at a constant rate?
A.Chuck
B.Betty
C.
Snapper
D.Rocky

Answers

Rocky, because after each year he grows 3cm, making it a constant rate/pattern
Your question answer is D (rocky )
Hope this help full to you !

A basketball player made 90 baskets (whole) in a season. Of these, 10% were three-point shots. How many three-point shots did the player make?

Answers

Answer:

9

Step-by-step explanation:

He made 9 three-point shots, 10% of 90 is 9.

Hope this helps!! :)

I need helppp pleaseeeeeeeeeeee

Answers

Answer:

what do you need help with        

Step-by-step explanation:

What number is represented by the point plotted on the number line? A horizontal number line from negative 2 to 2, with arrows at each end. Major tick marks are at every 1 unit and the units are labeled below the number line. There are 5 evenly spaced minor tick marks between every 2 major tick marks. Point X is plotted on the third minor tick mark to the right of 1. 12 112 123 212

Answers

it’s a because the number line on the plot equals that

Answer:

-7/8

Step-by-step explanation:

The point is located between -1 minus, 1 and 0.

Let's zoom in on this piece of the number line. Each whole is split into eight equal parts, or eighths.

The point is located -7/8.

12,10,12,13,9,11,8 mean median and mode

Answers

Answer:

Mean: 10.7

Median: 11

Mode: 12

Hope you find this helpfull:)

If x + 15 = 30, what is the value of 2(x – 5)?

PLEASE ANSWER TODAY!!!

Answers

Answer:

Answer is 20

Step-by-step explanation:

X+15=30

30-15= 15 so that means 15+15=30

2(x-5) X is 15 so 15-5=10 then multiply by 2.

The required value of 2(x – 5) is 20 when the equation is x + 15 = 30.

What is an equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question, as follows

x + 15 = 30

First, we can solve for x by subtracting 15 from both sides of the equation:

x + 15 - 15 = 30 - 15

x = 15

Next, we can substitute this value of x into 2(x – 5):

2(x – 5) = 2(15 – 5)

2(x – 5) = 2(10)

2(x – 5) = 20

Therefore, the value of 2(x – 5) is 20.

Learn more about the equation here:

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Please help #12.....

Answers

Answer:

DE = 7

Step-by-step explanation:

I don't have a great way of explaining so stay with me.

Both of these triangle are supposedly congruent since you can find DE.

You have to rotate CDE to line up correctly with FGH.

C and F are the same. D and G are the same. E and H are the same.

So after you match them up you can see the CD and FG are are on the same line.

If you do 13[tex]\frac{1}{3}[/tex] divided by 8 (or FG divided by CD) you get 1[tex]\frac{2}{3}[/tex]

After you match them up you can also see that CE and FH are on the same line.

If you do 10 divided by 6 (or FH divided by CE) you also get 1[tex]\frac{2}{3}[/tex]

With this pattern you should be able to figure  out that if you divide 11[tex]\frac{2}{3}[/tex] by 1[tex]\frac{2}{3}[/tex] that you will find DE.

DE is 7

Please help..Thank you❤️

Answers

Answer:

answer b <3

Step-by-step explanation:

Answer: 48

Step-by-step explanation:

280*(17/100) = 47.6

what are some equations

Answers

Answer:

It requires of two equations

Step-by-step explanation:

example:

2x +7y = 12

On Monday, a local hamburger shop sold a combined total of 270
hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Monday?

Answers

I’m doing it for the points

help me please !!!will give brainliest

Answers

Answer:

1. C

2. B

3. B

4. A

Answer:

1)c 2)b 3)b 4)a

Step-by-step explanation:

ez

Help please with this lol.

Answers

answer:

the value is $3.02

Answer:

$ 3:20

Step-by-step explanation:

also WHAT THE HECK THIS IS LIKE FIRST GRADE STUFF!!

I need help with this ​

Answers

Answer:

it looses 200 in value for the first year

Step-by-step explanation:

I am in middle school first year.I have no idea how to solve this but i hope it helps

The ratio of chairs to tables in the conference room is 6 to 1. For every able, there are
there are 3 tables, there will be
chairs

Answers

ANSWER: 18

SOLUTION: if the ratio of chairs to tables is 6 to 1 and there are 3 tables in the room you just times 3 by six to get the amount of chairs.

The ratio of chairs to tables in the conference room is 6 to 1. For every table, there are 3 tables, then, the amount of chairs is 18.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

The ratio of chairs to tables in the conference room is 6 to 1.

For every table, there are 3 tables,

if the ratio of chairs to tables is 6 : 1 and there are 3 tables in the room  

Then, the amount of chairs = 6 x 3

                                             = 18

Learn more about the unitary method;

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PLEASE HELP
The graph shows two lines, A and B.

A graph is shown with x- and y-axes labeled from 0 to 6 at increments of 1. A straight line labeled A joins the ordered pair 2, 6 with the ordered pair 6, 2. Another straight line labeled B joins the ordered pair 0, 3 with the ordered pair 4.5, 6.


Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer.


Part B: What is the solution to the equations of lines A and B? Explain your answer

Answers

Answer:

C(2, 2) is the solution to both lines A and B.

Step-by-step explanation:

Line A is given as:

A straight line labeled A joins the ordered pair 3, 0 and the ordered pair 0, 6.

We know that the equation of a line passing through (a,b) and (c,d) is calculated as:

Hence, the equation of line is:

Hence, equation of line A is:

Similarly B is a line passing through (0,0) and (5,5).

Hence, the equation of line B is:

So, from the graph we observe that, the point of intersection of the two lines is (2,2).

Thus, option C is correct.

can someone help i beg

Answers

Answer:0.45 L

Step-by-step explanation:

Given

The following equation shows the work of Dylan

[tex]\Rightarrow 1.65-0.2+x=1.9[/tex]

Solving it

[tex]\Rightarrow 1.45+x=1.9\\\\\text{Subtract 1.45 from both sides}\\\Rightarrow x=1.9-1.45=0.45[/tex]

Dylan adds 0.45 L of sparkling water

is 14/7 a repeating decimal?​

Answers

Answer:

No.

Step-by-step explanation:

14/7 = 2

2 is not a repeating decimal.

Hope that helps!

Answer:

No, 14/7 is two

Step-by-step explanation:

This is because 2 times 7 is 14, so we can simplify it to 2/1 or 2

Mario baked cookies for the class party.

The students ate
3
4
of what Mario brought.
The students on his bus ate
1
3
of what was left.
Mario had 6 when he got home.
How many cookies did Mario bake?

Answers

Answer:

He made 53 cookies

what is the explanation to x^2 = -5x

Answers

*Answer*

x=0 or x=−5

Step-by-step explanation:

Let's solve your equation step-by-step.

x2=−5x

Step 1: Subtract -5x from both sides.

x2−−5x=−5x−−5x

x2+5x=0

Step 2: Factor left side of equation.

x(x+5)=0

Step 3: Set factors equal to 0.

x=0 or x+5=0

x=0 or x=−5

what is the GCF? 5x^2+20x

Answers

Answer:

it's 5X

Step-by-step explanation:

GCF is the greatest common factor

Answer:

5x GCP

Step-by-step explanation:

PLEASE HELP!!!!!!!!!!!!!
You have 4 ice cubes in your cup of lemonade. Each ice cube has a length of 7 3/4 cm, a width of 4 5/8 cm and a height of 2 4/5 cm. What is the total volume of all of the ice cubes? Explain how you used math to come to your decision.

Answers

Answer:

60.7

Step-by-step explanation:

multiply 7 3/4 by 4, then multiply 4 5/8 by 4, then 2 4/5 by 4, then add it all together to get your answer.

54 ft = ____ yd 9. 11 L ≈ ____ qt 10. 80 g = ____ kg

i need help with this

Answers

Answer:

54 ft = 18 yd 9. 11 L ≈ 11.6236 qt 10. 80 g = 0.08 kg

Step-by-step explanation:

PLEASE HELP!

what is the distance between points A and B shown in the graph below?


choices:
A: square root of 2
B: square root of 98
C: 10
D: 14

Answers

The answer your looking for is A

the ratios of the sides of a triangle are 3:2:4. if the shortest side is 26cm, what is the length of the longest side?

Answers

Answer: 52

Divide 26/2 and you get 13, and then multiply 13 by 4. Think of it as a proportion.

are 6x - 12 and 6x - 6 equivalent expressions

Answers

Answer:

Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Tell whether the angles are adjacent or vertical. Then find the value of x.

Answers

Answer:

  x = 63°

Step-by-step explanation:

~ They are adjacent angles because they have a common (one) vertex.

~ To find the value of x we must make an equation.

Angles on a straight line add up to 180°.

  117 + x = 180

  x = 180 - 117

  x = 63°

Answer:

63

Step-by-step explanation:

63 is the answer

Work out the ratio of AREA of Rectangle A to Rectangle B in the simplest form.
Multiple choice :
A.) 5 : 3
B.) 3 : 4
C.) 4 : 9
D.) 4 : 11

Answers

Answer:

C.) 4:9

Step-by-step explanation:

[tex]10*16=160\\24*15=360\\160:360=4:9[/tex]

Answer:

C

Step-by-step explanation:

Given ratio of sides = a : b , then

ratio of areas = a² : b²

Here

ratio of sides = 16 : 24 = 2 : 3 , then

ratio of area = 2² : 3² = 4 : 9 → C

What is the 3rd term of a geometric sequence with a common ratio of 1/3 and a first term of 90

Answers

See below hope it helps

Answer: 90,30,10

What is the area of the figure?

Answers

Answer:

33

Step-by-step explanation:

the triangles are 12 and the square is 21 and yea

Calcula 2 números tales que la suma del primero más el triple del segundo sea 85 y la diferencia entre el cuadruple del primero y el doble del segundo sea 102...

Answers

Calcula dos números tales que la suma del primero mas el triple del segundo sea 85 y que la diferencia entre el cuádruple del primero y el doble del segundo sea 102

Sea el primer número = T
Sea el segundo número = U

Las ecuaciones según el enunciado son:
1) T + 3U = 85
2) 4T - 2U = 102

Resolvemos por el MÉTODO DE IGUALACIÓN.
-Despejamos T en las dos ecuaciones.
T + 3U = 85 4T - 2U = 102
T = 85 - 3U 4T = 102 + 2U
T = (85 - 3U)/1 T = (102 + 2U)/4

Igualamos las dos ecuaciones entre sí.
(85 - 3U)/1 = (102 + 2U)/4

Multiplicamos las ecuaciones en cruz.
4 (85 - 3u) = 1 (102 + 2U)
340 - 12U = 102 + 2U
- 12U - 2U = 102 - 340
- 14U = - 238
U = - 238/-14
U = 17

El valor de U lo reemplazamos en uno de los despeje de T para hallar el valor de la misma.
T = (85 - 3U)/1
T = (85 - 3 (17)/1
T = (85 - 51)/1
T = 34/1
T = 34

Rpt. Los números son: 34 y 17



COMPROBAMOS LA SOLUCIÓN.
T + 3U = 85
34 + 3 (17) = 85
34 + 51 = 85
85 = 85



4T - 2U = 102
4 (34) - 2 (17) = 102
136 - 34 = 102
102 = 102

LISTO!
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