Find the vertex of the quadratic function
f(x) = 2x^2 - 6x + 7

A.) (0, 7)
B.) (1, 2)
C.) (-1.5, 2.5)
D.) (1.5, 2.5)

Answers

Answer 1

Answer:

(1.5,2.5)

Step-by-step explanation:

f(x) = 2x^2 - 6x + 7

Take the first derivative and set it equal to 0 (the slope is 0 at the vertex)

f'(x) = 4x -6

0 = 4x - 6

4x = 6

x = 3/2 or 1.5

If x = (3/2), then y = 2(3/2)^2 - 6(3/2) + 7

y = 2(9/4) - 18/2 + 7

y = (9/2) - 2

y = 2.5

See attached graph.

Find The Vertex Of The Quadratic Function F(x) = 2x^2 - 6x + 7A.) (0, 7)B.) (1, 2)C.) (-1.5, 2.5)D.)

Related Questions

Solve by substitution (show work pls)
y= 2x-2
-3x+4y=-23

Answers

Answer:

x = -3 y = -8 (-3,-8)

Step-by-step explanation:

first you would subsitute the y with (2x-2) in -3x+4y=-23 as y=2x-2

giving you-3x+4(2x-2)=-23

next you distribute the 4 to (2x-2) leaving you with -3x+8x-8=-23

then add -3x+8x to get 5x, having 5x-8=-23

add 8 to both sides canceling out 8 on one side and adding 8 to the other leaving you with 5x=-15 then you divide 5 from 5x to both sides leaving you with x = -3

next is y since you have x you would substitute the x in y=2x-2 with -3 getting y=2(-3)-2 then you multiply the 2 and -3 so you have y=-6-2 then you subtract those getting y = -8

PLEASE HELP RHEEHSH

Answers

Step-by-step explanation:

just multiply.

you apply a fraction to a quantity by multiplying the fraction with the quantity.

a.

2/3 of 3/4 = 2/3 × 3/4 = 6/12 = 1/2

b.

2/5 of 3/4 = 2/5 × 3/4 = 6/20 = 3/10

c.

2/5 of 4/5 = 2/5 × 4/5 = 8/25

d.

4/5 of 3/4 = 4/5 × 3/4 = 12/20 = 3/5

Study the triangle. What can you conclude about the angle measures?

The angle measures are 30°, 60°, and 90°.

The angle measures are 45°, 45°, and 90°.

The triangle has a 90° angle, but the other angle measures cannot be determined.
Triangle A B C is shown. Angle A B C is a right angle. The length of A B is 4, the length of C B is 4 StartRoot 3 EndRoot, and the length of hypotenuse C A is 8.

Answers

Answer:

A

Step-by-step explanation:

For a right triangle, one of tha angles must be 90degrees. For the given right angles, the measure of its acute angles are 30, 60 and 90degrees respectively

Types of triangles

Triangle is a 2-D shape that has 3 sides and angles. Some of the types of triangle include:

Right triangleObtuse triangleScalene triangleEquilateral triangle

For a right triangle, one of tha angles must be 90degrees. For the given right angles, the measure of its acute angles are 30, 60 and 90degrees respectively

Learn more on right angles here: https://brainly.com/question/24323420

#SPJ2

Are you clever enough????
What is the answer on the graph?
Thnx

Answers

Hey, I’m not that sure but here it is:

30. The school choir is qetting ready for their spring concert. There are 48 members in the choir and each choir member expects to have ten people in the audience. How many rows of chairs will need to be set up if each row has
30 chairs in it?

Answers

Answer:

16 rows

Step-by-step explanation

48x10=480, then divide 480 by 30. 480÷30=16. So, there will be 16 rows.

I'm a lesbian who wants to ask this girl to be my Valentine, but I'm not sure it's a good idea:(

Answers

Answer:

Man up and ask her

Step-by-step explanation:

shoot ur shottttttt <3

HELP NEEDED!! 30 POINTS! BRAINLY TO BEST

Answers

Answer:

18

Step-by-step explanation:

By similar triangles law:-

[tex]\frac{24}{2x} =\frac{30}{x+6}[/tex]

[tex]24(x+6)=30(2x)[/tex]

[tex]24x+24(6)=60x[/tex]

[tex]24x+144=60x[/tex]

[tex]\frac{36x}{36x} =\frac{144}{36}[/tex]

[tex]x=4[/tex]

Since AB=x+6+2x

[tex]AB=3x+6[/tex]

Substitute value of x

[tex]AB=3(4)+6[/tex]

[tex]AB=12+6[/tex]

[tex]AB=18[/tex]

Therefore, the third side of ΔABC is 18.

~

Hope this helps!

A boy saves 80p a day, How much does it take him to save $40

Answers

Answer:

50 Days

Step-by-step explanation:

I'm not sure what the unit "p" is, but I believe it is pennies so. $40/0.80 gives you 50 which is the amount of days it would take for you to get to $40 if you receive 80 cents a day

Which expression is equivalent to -6.5 - 5.1 + 2.3c - 1.8

Answers

Answer: 2.3c-13.4

Step-by-step explanation:

We can combine the constants and c's separately. We first do -6.5-5.1-1.8 which equals -13.4 and add that to 2.3c to get 2.3c-13.4

Answer:

Step-by-step explanation:

it’s actually-4.2c-69 :)

The graph shows the function f(x) = |x – h| k. What is the value of h? h = –3. 5 h = –1. 5 h = 1. 5 h = 3. 5.

Answers

The function gets shifted towards the left then the value of h must be negative. The correct option is B.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

Given

The function is  f(x) = |x – h| +  k

We know that if we subtract h from the variable the function gets shifted towards the right but in the graph, the function gets shifted towards the left then the value of h must be negative.

We know the coordinate of the vertex is (-1.5, -3.5). Then abscissa will satisfy the |x - h|.

h = -1.5

Thus, option B is correct.

More about the function link is given below.

https://brainly.com/question/5245372

7,002 divided by 53 estimate

Answers

Answer:

132.11

Step-by-step explanation:

7002 ÷ 53 = 132.11

Thus, The answer is 132.11

-TheUnknownScientist 72

answer: 132.11

Explanation: 7002 divided by 53=132.113206547

Round it off
Final answer: 132.11

Suppose f(x) = x3 + 4. Find the graph of
1
f(x).
Click on the correct answer.
graph 1
graph 2

Answers

Answer: its graph 2 becuse it goes through a y intercept of 4 nd isnt negtive. If the formula was negative it would be on the left side/ Correct answer has to be "2"

Step-by-step explanation:

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!!

Answers

Answer:

Angle BOD

Step-by-step explanation:

Supplementary means they add up to 180 degrees and make a straight line :D

Check points A,O ,D are colinear<BOA and <BOD are linear pair angles .Linear pairs have sum 180°Supplementary angles also have sum 180°.

Ao option D is correct

what percent of 30 is 18

Answers

18 is 60 percent of 30. 3 percent is 10 percent of 30 so 3 x 6 equals 18.

Answer: 60

Step-by-step explanation:

x%30 = 18

x = 18 * 100 / 30 = 18 * 10 / 3 = 60

what is the following product? (2V7 +3V6)(5V2+4V3)

Answers

[tex](2\sqrt{7}+3\sqrt{6})(5\sqrt{2}+4\sqrt{3}) \\\\\\ \begin{array}{lllllll} 10\sqrt{14}&+&15\sqrt{12}&+&8\sqrt{21}&+&12\sqrt{18}\\\\ &&15\sqrt{2^2\cdot 3}&&&&12\sqrt{3^2\cdot 2}\\\\ &&15\cdot 2\sqrt{3}&&&&12\cdot 3\sqrt{2}\\\\ &&30\sqrt{3}&&&&36\sqrt{2}\\\\ 10\sqrt{14}&+&30\sqrt{3}&+&8\sqrt{21}&+&36\sqrt{2}\\\\ 10\sqrt{14}&+&8\sqrt{21}&+&30\sqrt{3}&+&36\sqrt{2} \end{array}[/tex]

PLEASE HELP
The graph shown models the speed of a racecar during part of a lap.

Take on the role of a racing announcer and create a story to describe what the graph reveals about the race. Include the following information in your story:

What do the line segments R, S, T, U, and V reveal about the speed of the car?
Include information about the speeds and times when writing your story.

Answers

Answer:

A racer has just completed his first lap at a speed of 198m/s. Now his speed decrease or he decelerateted at 195m/s after 2s of his completion of first lap, as soon as he saw a curve path(line segment R). He then moved at a constant speed of 195m/s for the next 2s(line segment s). Then the race track after 4s of the completion of first lap was straight, so the racer accelerated to 200m/s within 2s( line segment T) and traveled at a constant speed for the next 6s( line segment U). After 12s from the first lap completion, he immediately saw a curve track, so he decelerateted to the speed of 194m/s within 3s( line segment V).

Hope it helped.

please mark brainliest

Simplify 3 sin ² 8t + 5 cos ² 8t

Answers

Answer: 3 sin^2 (8t)+5 cos^2 (8t)

20 divided by 5/3

pls help

Answers

Answer:

the answer is 12.

Step-by-step explanation:

Hope this helps! :)

Answer:

20 ÷ [tex]\frac{5}{3}[/tex] = 12

Step-by-step explanation:

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

20 x 3 divided by 5 = 60\5

Thus, the answer to 20 divided by 5/3 in fraction form is:

[tex]\frac{60}{5} = 12[/tex]

Find the area of the triangle
13
07
5
12
O 65 units?
O 30 units?
O 60 units
O 156 units

Answers

The answer is 30 units

An infinite number of non-congruent triangles can be formed with two angles, A and B. Which of the following is true about the triangles formed? None of the triangles are similar. None of the triangles are similar. Some of the triangles are similar. Some of the triangles are similar. All of the triangles are similar. All of the triangles are similar. No conclusion can be drawn without knowing the measurements of the angles.

Answers

Answer:

  (c)  All of the triangles are similar

Step-by-step explanation:

All of the triangles are similar by the AA similarity postulate.

__

Two angles of one triangle being the same as two angles of another triangle means all angles of the two triangles are the same. (Two angles define the third.) Triangles with congruent corresponding angles are similar.

oml....help me please this doesn't make sense

Answers

To find the percentage of people that play the violin, you first need to find the tots number of students. To do this add up all the students that play the different instruments. 14+12+10+4=40

Now divide the number of violin players by the total number of people in the orchestra. 14/40=0.35

Now multiply 0.35 by 100 to make it an actual percentage. 0.35*100=35

So 35% of the orchestra plays the violin

CONVERT 12-HOUR TO 24-HOUR

1. 3:26 PM
2. 3:26 PM
3. 11:05 AM
4. 9:35 AM

Answers

Answer:

1) 15:26 PM

2) 15:26 PM

3) 11:05 AM

4) 9:35 AM

Step-by-step explanation:

I hope this helps!!

A store had 150 Rams jerseys in stock on Friday. They had 100 jerseys left on Saturday. The amount went down by:
This was a
decrease (2nd response should be an answer with a percent)

Answers

Answer:

50

Step-by-step explanation:



Solve the problem and explain the steps taken.
There are four students working on a project in math class. Miguel has completed 1/8 of the project, Gina has
completed 13% of the project, Jatziry has completed 0.10 of the project, and Kwa has completed 1/9 of the
project Make a list of the students in order from least to greatest by the amount of the project they have
completed

Answers

Answer is 10% , 12.5% , 13 % , 19%

what is the range of 27, 42, 68, 35, 98, 90, 49, 61, 67, 33

Answers

Answer:

71

Step-by-step explanation:

Mean  57

Median 55

Range 71

Answer:

71

Step-by-step explanation:

Because range is biggest number-smallest number

Biggest number=98

Smallest number=27

98-27=71

have a great day :}

ok so hi I need help with this

Answers

Answer:

x=-5, 5

Step-by-step explanation:

Because there is absolute value symbol and is equal to 5.

Unknown Angle Problems (with Algebra)

Answers

Answer:

x = 5

Step-by-step explanation:

8x + 50 = 90

or, 8x = 90-50

or, 8x = 40

so, x = 5

8x²+10x
Greatest Common Factor

Answers

Answer:

gcf:  Since

8

x

2

,

10

x

contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.

Steps to find the GCF for

8

x

2

,

10

x

:

1. Find the GCF for the numerical part

8

,

10

2. Find the GCF for the variable part

x

2

,

x

1

3. Multiply the values together

Find the common factors for the numerical part:

8

,

10

The factors for

8

are

8

,

4

,

2

,

1

,

1

,

2

,

4

,

8

.

Tap for more steps...

8

,

4

,

2

,

1

,

1

,

2

,

4

,

8

The factors for

10

are

10

,

5

,

2

,

1

,

1

,

2

,

5

,

10

.

10

,

5

,

2

,

1

,

1

,

2

,

5

,

10

List all the factors for

8

,

10

to find the common factors.

8

:

8

,

4

,

2

,

1

,

1

,

2

,

4

,

8

10

:

10

,

5

,

2

,

1

,

1

,

2

,

5

,

10

The common factors for

8

,

10

are

2

,

1

,

1

,

2

.

2

,

1

,

1

,

2

The GCF for the numerical part is

2

.

GCF

Numerical

=

2

Next, find the common factors for the variable part:

x

2

,

x

The factors for

x

2

are

x

x

.

x

x

The factor for

x

1

is

x

itself.

x

List all the factors for

x

2

,

x

1

to find the common factors.

x

2

=

x

x

x

1

=

x

The common factor for the variables

x

2

,

x

1

is

x

.

x

The GCF for the variable part is

x

.

GCF

Variable

=

x

Multiply the GCF of the numerical part

2

and the GCF of the variable part

x

.

2

x

Step-by-step explanation:

Answer:

2x

Step-by-step explanation:

math guys

PLEASE HELP 6th GRADE FLVS WORK PLEASE HELP​

Answers

Answer:

the first one is a square and the second is a parallelogram and the third is rectangle,fouth is rhombuse and last one is trapizoid

Step-by-step explanation:

Solve the equation.
e
11
7
e
Stuck? Review related articles/videos or use a hint.

Answers

Answer:

e = 21
Step-by-step explanation:


e/3 = 7
e = 7 * 3
e = 21

Answer:

[tex]\huge\boxed{\sf e =21}[/tex]

Step-by-step explanation:

Given equation:

[tex]\displaystyle \frac{e}{3} = 7\\\\Multiply \ both \ sides \ by \ 3\\\\e = 7 \times 3\\\\e = 21\\\\\rule[225]{224}{2}[/tex]

Hope this helped!

~AH1807
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