1. What is the vertex for the following quadratic function, y = 2x^2 - 4x + 5?
A). (1,3)
B). (3, 1)
C) (0,5)
D). (2,5)

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = 2x² - 4x + 5 ← is in standard form

with a = 2 and b = - 4 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{-4}{4}[/tex] = 1

Substitute x = 1 into the equation for corresponding value of y

y = 2(1)² - 4(1) + 5 = 2 - 4 + 5 = 3

vertex = (1, 3 ) → A


Related Questions


Find the missing angle measurement in each set of supplementary angles.

Answers

Supplementary angles sum up to 180°. Take the missing angle as 'x'.

148 + x = 180

x = 180 - 148

x = 32°

=》 Angle ABD = 32°

_________

Hope it helps!

RainbowSalt2222 ☔

Answer:

32 degrees

Step-by-step explanation:

Hi there!

Angle ABC measures 180 degrees since it's a straight line.

To find angle ABD, we simply subtract the given angle that measures 148 degrees from 180:

180-148 = 32

Therefore, angle ABD measures 32 degrees.

I hope this helps!

please help asap…………

Answers

Step-by-step explanation:

the most common form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

so, in our case, the slope is 2, the y-intercept is -3.

the y-intercept gives you the first point : (0, -3)

using the slope of 2 we know that for every unit x increases, y increases by 2.

so, you can pick a next point e.g. x = 2, which makes y = -3 + 2×2 = -3 + 4 = 1

that gives us (2, 1)

mark both points on the chart and then draw a straight line through both points.

can 22.75 be rounded off to 23.5?
(im not smart pfft)​

Answers

Answer:

No

Step-by-step explanation:

22.75 can be rounded to:

22.8

23

20

Answer:

no only 22.8

Step-by-step explanation:

Which expression can be placed on the right side of the equals sign to form an equation? 6+24= 7+3⋅5 4⋅103+96 3⋅10+2 7²

hurry please im timed whoever gets the correct answer ill give brainliest

Answers

Answer:

the answer is 7 + 3 . 5

Step-by-step explanation:

help me please i’ll give you a brain list thingy thank youu

Answers

Answer:

Are the triangles similar?

1) Both triangles are congruent by SAS ( Side Angle Side ) Postulate

2) SAS Postulate

3) congruent by ASA Postulate

4) SSS Postulate

5) congruent by AAS Postulate

6) SAS Postulate

Isosceles and Equilateral Triangles

1)  by isosceles something triangle theorem

if two angles of opposite sides are congruent the sides opposite of those are congruent.

4x-12=20

x=8

2) Triangle Sum Theorem - all angles add up to 180.

with Isosceles triangle theorem.

x= 70 degrees

y= 40 degrees

3)  2x-14 = x+17 ( I think )

x=34

4) The picture is cut out.

Step-by-step explanation:

Ann made a scale drawing of a theater. The scale she used was 1 inch : 7 feet. The stage is
28 feet wide in real life. How wide is the stage in the drawing?
inches

Answers

Answer:

4 in

Step-by-step explanation:

Use ratios and solve:

1 in ÷ 7 ft = x in ÷ 28 ftx = 28/7 inx = 4 in

Cindy made a scale drawing of a game room. The pool table, which is 8 feet long in real life,
is 4 inches long in the drawing. What is the scale of the drawing?
1 inch:
feet

Answers

Answer:

1 inch = 2 feet

Step-by-step explanation:

Answer:

1 inch ÷ 2 feet

Step-by-step explanation:

According to given:

8 feet → 4 in

Divide both by 4 to get the scale of drawing:

8/4 feet → 4/4 in2 feet → 1 in

need help with pre-cal please

Answers

Answer:

x = n² ± n√(n² + 8)

Step-by-step explanation:

x ≠ 0, n ≠ 04/x² + 1/x = 1/(2n²)(x + 4)/x² = 1/(2n²)2n²(x + 4) = x²x² - 2n²x - 8n² = 0D = (-2n²)² - 4(-8n²) = 4n⁴ + 32n² = 4n²(n² + 8)x = (2n² ± 2n√(n² + 8))/2x = n² ± n√(n² + 8)

What is an equation in point-slope form of the line shown in the graph, using the point (1, 5)?

Answers

Answer:

The point-slope form is  

y

+

6

=

1

5

(

x

4

)

or  

y

+

5

=

1

5

(

x

9

)

, depending on which point you use. If you solve for  

y

to get the slope-intercept form, both equations will convert to  

y

=

1

5

x

34

5

Step-by-step explanation:

y-5=[whatever slope is](x-1)

A researcher wants to study the effect of weather on college students' study habits. On a sunny day, the researcher sits in the quad and records the number of minutes of study per student. Identify the crucial element missing in this design.

Answers

In this experiment design, the missing element is the control group.

In most experiments, the researcher will need to have a control group and an experimental group.

The control group is the one that is not given a treatment, for example, if you are testing an antibiotic, then the control group is the individuals that do not receive the medicine.

This group is important because it acts as a reference to measure the real effect in the experimental group or those receiving the treatment.

The control group is missing in this experiment because the research will need to measure the hours students spend studying on a regular cloudy day, in this way, he can later determine if there is a real difference between the number of hours on a sunny day vs the number of hours on a day that is not sunny.

Learn more in: https://brainly.com/question/17475243

If Lucy runs 1 mile in 6
minutes, how many miles
will she run in 23 minutes?

Answers

3 and 1/8 of a mile

Guided Practice

Type your answer and then click or tap Done.

What is the vertex of the parabola with the equation y=15x^2+2x−8?

Answers

Answer:

(Fill in the blank text field 1

-5

, Fill in the blank text field 2

-13

)

Step-by-step explanation:

(Fill in the blank text field 1

-5

, Fill in the blank text field 2

-13

)

Done

The vertex of the parabola is (−5, −13).

Rewrite in vertex form and use this form to find the vertex  

(

h

,

k

)

.

(

1

/15

,

121

/15

)

Find the vertex form.

y

=

15

(

x

+

1

/15

)

2

121

/15

the base of a triangle is eight less than twice it’s height, if the area of the triangle is 5cm^2 find the length of the base

Answers

Answer:

the height = 5cm

the base = 2cm  

Step-by-step explanation:

PLS HELP WILL MARK BRAINLIEST, PLS HURRY

Answers

Answer:

B

Step-by-step explanation:

Would appreciate your help a lot!

Answers

Answer:

None of those answers are right. It should be

[tex] - \frac{23}{24} [/tex]

Step-by-step explanation:

You have to find common denominators first. Multiply -5/6 by 4/4 to get -20/24. Multiply 1/8 by 3/3 to get 3/24.

[tex] - \frac{20}{24} = z + \frac{3}{24} [/tex]

Subtract 3/24 from both sides since it is being added.

[tex] - \frac{20}{24} = z + \frac{3}{24} \\ - \frac{3}{24} \: \: \: \: \: \: \: \: \: \: - \frac{3}{24} [/tex]

Since there are two negatives on the left, add the fractions together and keep the negative sign.

[tex] - \frac{23}{24} = z[/tex]

You cannot reduce this fraction.

In a raffle, 100 tickets are sold and 10 of the tickets, selected at random, win a $5 prize. A participant buys one ticket. What is the standard deviation of the amount won?

Answers

I think the answer is 260

Find the slope of each line of the graphs to the right. Which graph has the greater​ slope? Use pencil and paper. Explain how you know which graph has the greater slope without doing any calculations.

Answers

Answer:

Line 2

Step-by-step explanation:

line one's slope is one and line 2 is 3

Answer:

Line 2/Depending on the steepness of the line and which way it faces, we can easily determine which line has a larger slope - Any line that goes left to right is negative, and the steeper a line is, the more the farther negative/positive slope it has.

Step-by-step explanation:

Depending on the steepness of the line and which way it faces, we can easily determine which line has a larger slope - Any line that goes left to right is negative, and the steeper a line is, the more the farther negative/positive slope it has. The slope of line one is determined from rise over run. When we take the 2 points marked, we can count rise (4) and run (4), so we have 4/4, which is one. For line 2, we can do the same and get 3. Therefore, Line 2 has a greater slope

b
– 2 =
7
8

Write your answer as a fraction or as a whole or mixed number.

b =

Answers

Answer:80

Step-by-step explanation:

Identify the solution for the system of equations graphed here.

A) (1,1)

B) (-1,1)

C) (1,-1)

D) (-1, -1)​

Answers

Answer:

c) (1,-1)

Step-by-step explanation:

I hope this helps

Joe was looking through a numeric puzzle
book and found the following puzzle. The
sum of two numbers is two. The difference
of the two numbers is also two. What are
the two numbers?

Answers

0 and 2

Step-by-step explanation:

If you subtract 2 by 0 then it will equal 2 and if you add 2 to 0, you also have 2.

and side q has a
In the 30-60-90 triangle below, side s has a length of
length of
30°
g
10
90°
60°
S
A. 5.10.15
B. 10.13.20
C. 105: 105

Answers

Answer:

E

Step-by-step explanation:

Using the cosine and sine ratios in the right triangle and the exact values

cos60° = [tex]\frac{1}{2}[/tex] , sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{s}{10}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2s = 10 ( divide both sides by 2 )

s = 5

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

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{q}{10}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2q = 10[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

q = 5[tex]\sqrt{3}[/tex]

The value of the digit 8 in 1,857 is how many times the value of the digit 8 in 3,083?

Answers

Answer:

10 times

Step-by-step explanation:

The 8 in 1,857 is in the hundreds place and the 8 in 3,083 is in the tens place.

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.

Answers

Answer:

13 ≈ 10 miles

Step-by-step explanation:

Have a nice day

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving So, the straight-line distance from your starting point is 13 miles.

What is Pythagoras' Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving,

[tex]|AC|^2 = |AB|^2 + |BC|^2 \\\\|AC|^2 = |5|^2 + |12|^2 \\ \\|AC|^2 = 25 + 144 \\\\AC = \sqrt{169} \\\\AC = 13[/tex]

Learn more about Pythagoras' theorem here:

https://brainly.com/question/12105522

#SPJ2

How to do the 9 multiplication trick.

Answers

Answer:

0123456789

9876543210

Step-by-step explanation:

09

18

27

36

45

54

63

72

81

90

Answer:

Step-by-step explanation:

for each 9 you add, take away 1 from the first number and add 10, like

81

72

63

52

41

32

23

18

9

integer operations
11. -60
12. 10
13. -9
14. 14
15. 37

Answers

Answer:

[tex]11. - 60 = - 49 \\ 12.10 = 12.1 \\ 13. - 9 = 4 \\ 14.14 = \frac{707}{50} \\ 15.37 = \frac{1537}{100} [/tex]

What equation is graphed in this figure?

· y-4= -1/3(x+2)

· y-3= -1/3(x+1)

· y+2= -3(x-1)

· y-5=3(x-1)​

Answers

Answer:

y-5=3(x-1)

Step-by-step explanation:

I hope it helped

At the produce store you can buy 5 bags of bananas for $23.15 . How much would it cost if you were to buy 6 bags?

Answers

Answer: $26.16

Step-by-step explanation:

23.15 / 5 = 4.63

4.63 x 6 = $26.16

The product of 6 and the sum of a number and 3 is 60

Answers

Answer:

8(x+3) is the answer

Step-by-step explanation:

The equation is 6(x + 3) = 60. Then the solution of the equation is 3.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The product of 6 and the sum of a number and 3 is 60.

Let the number be 'x'. Then the equation is written as,

6(x + 3) = 60

Simplify the equation, then the value of the variable 'x' will be calculated as,

6(x + 3) = 60

x + 3 = 60 / 6

x + 3 = 10

x = 10 - 3

x = 3

The equation is 6(x + 3) = 60. Then the solution of the equation is 3.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

Are repeating decimals like 34.79 rational numbers?

Answers

Answer:

Yes. 34.79 is a rational number because it can be written as a fraction.

Step-by-step explanation:

Hoped this helped.

Help. 7 minutes left. Can’t find answer. Question in the picture, Thank you!

Answers

Step-by-step explanation:

Where's the picture?

Add this first

Answer:

wait we're is the picture?

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