Mathematics High School

Convert into vertex form. Give the vertex.
y = 3x² – 24x + 46

Answers

Answer 1
Here you go! Hope this helps!!!
Convert Into Vertex Form. Give The Vertex.y = 3x 24x + 46
Answer 2

Answer:

Vertex form: [tex]y = 3(x - 4)^2 - 2[/tex]

Vertex: (4, -2)

Step-by-step explanation:

Hello!

We have to complete the square, and then simplify.

Solve:[tex]y = 3x^2 - 24x + 46[/tex][tex]y = 3(x^2 - 8x) + 46[/tex]
Take the coefficient of the second term, divide it by 2, and square it.[tex]y = 3(x^2 - 8x + 16) + 46 - 3(16)[/tex]
Balance your equation by subtracting what you added. Simplify.[tex]y = 3(x - 4)^2 - 2[/tex]

The equation in vertex form is [tex]y = 3(x - 4)^2 - 2[/tex]

The vertex is (4,-2)

Vertex form

Vertex form is f(x) = a(x - h)² + k, where (h, k) is the vertex.

Related Questions

The price p of pizza is $7.25 plus $0.70 for each t topping on the pizza write a function rule that represents the situation

Answers

The answer is

p=7.25+0.70t

The graph of y = f(x) is graphed below. What is the end behavior of f(x)?

Answers

9514 1404 393

Answer:

  (b) signs of the infinities are opposite

Step-by-step explanation:

The graph shows a trend toward +∞ as x gets more negative, and toward -∞ as x gets more positive. That is, the sign of the end behavior of y is opposite that of x. This is expressed by the second choice.

What are the coordinates for E?

Answers

Answer:

(-6,0)

Step-by-step explanation:

It's on the x-axis which would be -6 and yet it's at the 0 of the y-axis.

Answer:

(-6,0)

Step-by-step explanation:

due its on left side

y – 11 = 3(x – 2)
in standard form

Answers

Answer:

3x + y = -5

General Formulas and Concepts:

Pre-Algebra

Distributive PropertyEquality Properties

Algebra I

Standard Form: Ax + By = C

Point-Slope Form: y - y₁ = m(x - x₁)  

x₁ - x coordinate y₁ - y coordinate m - slope

Step-by-step explanation:

Step 1: Define

[PS]   y - 11 = 3(x - 2)

Step 2: Rewrite

Find Standard Form

Distribute 3:                                  y - 11 = 3x - 6Subtract 3x on both sides:          -3x - y - 11 = -6Add 11 to both sides:                    -3x - y = 5Factor -1:                                       -1(3x + y) = 5Divide -1 on both sides:                3x + y = -5

here is a semicircle of radius x.

Answers

Answer:

a) C

b)

3.142x + 2x = 25.71

5.142x = 25.71

x = 5

Step-by-step explanation:

Expression for Semicircle perimeter: xπ + 2x. (C)

Therefore x(π + 2) = 25.71 and x = 25.71 / (π + 2) = 5.

what conclusions can you draw about the roots of the equation x^3+x^2-2x+12=0​

Answers

Answer:

x=-3

Step-by-step explanation:

If x=-3, then

x³+x²-2x+12=-27+9+6+12=-27+27=0

If this is true, then x+3 is a factor. So:

x³+x²-2x+12/x+3=x²-2x+4

So the factors of x³+x²-2x+12 are:

(x+3)(x²-2x+4)

((x²-2x+4) has no real roots)........

Solve for b
5/b=45/36
B=

Answers

X=4 is the correct answer
5/b=45/36

*cross multiply*

180=45b

180/45 = 45b/45

4 = b

b=4

Which set or sub set does \large \frac{24}{8} belong?

a
Integers only
b
Rational numbers only
c
Integers and Rational numbers only
d
Whole numbers, Integers, and Rational numbers

Answers

Answer:

rational numbers

Step-by-step explanation:

The ratio of scrambled eggs to hard-boiled eggs served at a restaurant is 6: 2. Find the number of hard-boiled eggs when the restaurant serves 15 scrambled eggs.

Answers

Answer:

Its 15/2 but something is probably wrong with the question.

Step-by-step explanation:

h is hard boiled eggs. s is scrambled eggs. s/h=6

15/h=6

15=6h

h=15/6=5/2 Something is probably wrong with the question because who would serve 1/2 of a egg.

How do you do this?
Please help x

Answers

Answer:

Step-by-step explanation:

a). Given equation is y = 3x - 4

   Table for the input-output values is,

   x          -1           0          1            2          3

   y          -7          -4         -1           2          5

Now we can plot these points on the graph (graph attached).

b). Equation is y = -2x + 3

   Table for the input-output values will be,

  x       -1          0         1        2       3

  y       5          3         1        -1       -3

help me please i will give brainliest

Answers

Answer:

The forth box for c will be 22

Step-by-step explanation:

If c = 10 , b = 5

If c = 14 , b = 7

If c = 18 , b = 9

If c = 22 , b = 11

If c = 26 , b = 13

Answer:

7

Step-by-step explanation:

What is the surface area of the triangular prism

A.328.1

B.352.5

C.658.1

D.251.5

Answers

Oh i think we’re doing the same assignment i put C as the answer

What are the coordinates of the image of vertex G after a reflection across the line y = x?​

Answers

Answer:

The coordinates of the image of vertex G are (-5, 4)

Step-by-step explanation:

Let us revise some cases of reflection

If the point (x, y) reflected across the x-axis , then its image is (x, -y) If the point (x, y) reflected across the y-axis , then its image is (-x, y) If the point (x, y) reflected across the line y = x , then its image is (y, x) If the point (x, y) reflected across the line y = -x , then its image is (-y, -x)

From the given figure

∵ The line of the reflection is y = x

→ That means we will switch the coordinates of the point to find its image

∵ The coordinates of vertex G are (4, -5)

∴ The x-coordinate = 4 and the y-coordinate = -5

→ Switch the two coordinates

∴ The coordinates of its image G' are (-5, 4)

∴ The coordinates of the image of vertex G are (-5, 4)


Twenty students from Sherman High School were accepted at Wallaby University. Of
those students, eight were offered military scholarships and 12 were not. Mr. Dory
believes Wallaby University may be accepting students with lower SAT scores if they
have a military scholarship. The newly accepted student SAT scores are shown here.
Military scholarship: 850, 925, 980, 1080, 1200, 1220, 1240, 1300
No military scholarship: 820, 850, 980, 1010, 1020, 1080, 1100, 1120, 1120, 1200,
1220, 1330
Part A: Do these data provide convincing evidence of a difference in SAT scores
between students with and without a military scholarship? Carry out an appropriate
test at the a = 0.05 significance level. (5 points)
Part B: Create and interpret a 95% confidence interval for the difference in SAT
scores between students with and without a military scholarship. (5 points) (10
points)

Answers

Answer:

Data provide convincing evidence of a difference in SAT scores  between students with and without a military scholarship is explained below in details.

Step-by-step explanation:

This is a quiz of 2 autonomous groups. The population model differences are not understood. it is a two-tailed examination. Let w be the index for scores of students with army research and o be the index for scores of students without army research.

Therefore, the population means would be μw and μo.

The irregular variable is x w - xo = variation in the sample mean records of students with military accomplishments and students without.

For students with military accomplishments,

n = 8

Mean = (850 + 925 + 980 + 1080 + 1200 + 1220 + 1240 + 1300)/8

Mean = 1099.375

Standard deviation = √(summation(x - mean)/n

Summation(x - mean) = (850 - 1099.375)^2 + (925 - 1099.375)^2 + (980 - 1099.375)^2 + (1080 - 1099.375)^2 + (1200 - 1099.375)^2 + (1220 - 1099.375)^2 + (1240 - 1099.375)^2 + (1300 -1099.375)^2 = 191921.875

Standard deviation = √(191921.875/8 = 154.89

For students without military scholarship,

n = 12

Mean = (820 + 850 + 980 + 1010 + 1020 + 1080 + 1100 + 1120 + 1120 + 1200 + 1220 + 1330)/12

Mean = 1073.83

Summation(x - mean) = (820 - 1073.83)^2 + (850 - 1073.83)^2 + (980 - 1073.83)^2 + (1010 - 1073.83)^2 + (1020 - 1073.83)^2 + (1080 - 1073.83)^2 + (1100 - 1073.83)^2 + (1120 - 1073.83)^2 + (1120 - 1073.83)^2 + (1200 - 1073.83)^2 + (1220 - 1073.83)^2 + (1330 - 1073.83)^2 = 238199.4268

Standard deviation = √(238199.4268/12 = 140.89

We would set up the hypothesis.

The null hypothesis is

H0 : μw = μo H0 : μw - μo = 0

The alternative hypothesis is

Ha : μw ≠ μo Ha : μw - μo ≠ 0

Since sample standard deviation is recognized, we would analyis the examination statistic by using the t examination. The formula is

(xw - xo)/√(sw²/nw + so²/no)

From the information given,

xw = 1099.375

xo = 1073.83

sw = 154.89

so = 140.89

nw = 8

no = 12

t = (1099.375 - 1073.83)/√(154.89²/8 + 140.89²/12)

t = 0.37

The formula for determining the degree of freedom is

df = [sw²/nw + so²/no]²/(1/nw - 1)(sw²/nw)² + (1/no - 1)(so²/no)²

df = [154.89²/8 + 140.89²/12]²/(1/8 - 1)(154.89²/8)² + (1/12 - 1)(140.89²/12)² = 21650688.37/1533492.15

df = 14

We would get the probability count from the t test calculator. It becomes

p value = 0.72

Since the level of importance of 0.05 < the p value of 0.72, we would not neglect the null hypothesis.

Therefore, these data do not present an acceptable indication of a difference in SAT scores between students with and without a military scholarship.

Part B

The formula for getting the confidence interval for the difference of two population means is expressed as

z = (xw - xo) ± z ×√(sw²/nw + so²/no)

For a 95% confidence interval, the z score is 1.96

xw - xo = 1099.375 - 1073.83 = 25.55

z√(sw²/nw + so²/no) = 1.96 × √(154.89²/8 + 140.89²/12) = 1.96 × √2998.86 + 1654.17)

= 133.7

The confidence interval is

25.55 ± 133.7

june drove 116 miles and 5.8 hours at this rate how far will she drive in 5 hours​

Answers

first we need to calculate how fast she was going in one hour:
116 / 5.8 = 20

then multiply that by 5 to get how far she will go in 5 hours

20 * 5 = 100

please help me with this step by step

Answers

these two triangles are joined up with one line; they have similarities. their similarity is having the bottom line of the triangle (100ft and 500ft). the scale factor of these two number is 5. the side AB is the same as DE x sf(5) which is 2000ft

Daniel is organizing his rock collection of 18 rocks into equal groups. How many possible ways can Daniel line up his rock collection? 2 possible ways
3 possible ways
5 possible ways
6 possible way

Answers

Answer:

6 possible ways

Step-by-step explanation:

18 divided by 6=3

This means each line will get 3 rocks

Find the mode for the scores 3,850 5,300 8,550, 4.300: 5,350​

Answers

Answer:

No Mode

Step-by-step explanation:

The mode is the answer that occurs most in a set of numbers, but there are no repetitive numbers in your set, so the answer is no mode.

28. The value of 'x' and 'y in the parallelogram ABCD, Where diagonals intersec
at 'O',OA = x - y,
OB = 15, OC = 8 and OD = y-6.

A) x = 17, y = 9
B) x = 29, y = 21
C) x = 9, y = 21
D) x = 21, y = 17​

Answers

Answer:

B is the answer

x=29 and y=21

Step-by-step explanation:

diagonals of parallelogram bisect each other . so AO will be equal to OC and OB will be equal to OD

Answer:

B.

Step-by-step explanation:

Did it on 3dg3nuity ^.^

PLS HELP WILL GIVE BRANLIEST

Answers

Answer:

A

Step-by-step explanation:

Answer: the answer is B: (3,9)

Step-by-step explanation:

There are 2 pies on the shelf. Each shelf is cut into eighths. How many pieces of pie are there?

Answers

Answer:

16

Step-by-step explanation:

each pie is cut into eighths meaning each pie is cut into 8 pieces now you have two pies in 8 pieces that looks like this 8+8=16    :]

* EASY * how many like terms are in the expression?

14x - 14y +7 - x + z +2x

A. 0

B. 2

C. 3

D. 5

Answers

Answer:

It’s either 2 or 3 but I’m say 2.

14.
A right triangle has an area of
24. If the height of a simillar
triangle is double that of the
original triangle, how much
larger is the area of the
second triangle than the first?
HELP!

Answers

Answer:

u should times 24 by 24 which will make 576

Step-by-step explanation:

Please help plezzzzzzzzz

Answers

Answer:

1,6,8

Step-by-step explanation:

One triangle shown is formed by the tree, its shadow, and a line of sight from the ground to the top of the tree. The other is formed by Manny, his shadow, and a line of sight from the ground to the top of his head.Manny is 512 feet tall, and his shadow is 414 feet long. The shadow of the tree is 17 feet long. How can you determine the height of the tree?

Answers

Answer:

21 feet

Step-by-step explanation:

To solve this question, we would be using the proportion

Shadow /Height

From the question:.

Manny's shadow = 414 feet

Manny's Height = 512 feet

Height of the tree = ? = x

Shadow of the tree = 17 feet

Hence:

414/512 = 17/ x

Cross Multiply

414 × x = 512 × 17

x = 512 × 17/414

x = 21.024154589 feet

x ≈ Approximately = 21 feet

The height of the tree = 21 feet

The height of the tree is 21 feet.

Given that,

Manny is 512 feet tall, and his shadow is 414 feet long. The shadow of the tree is 17 feet long. Here we assume the height be x

Based on the above information, the calculation is as follows:

[tex]414\div 512 = 17\div x\\\\414 \times x = 512 \times 17\\\\x = 512 \times 17\div 414[/tex]

x = 21.02

= 21 feet

Therefore we can conclude that the height of the tree is 21 feet.

Learn more: brainly.com/question/24169758

dont mind the dots already on the graph I was just trying to guess​

Answers

Step-by-step explanation:

i wanna know too tho......

Write the equation in standard form. Identify the vertex, axis of symmetry, and direction of opening of the parabola. show work

y = x ^ 2 + 2x + 2

Answers

here ya go ❤️❤️❤️❤️❤️

Evaluate the following expression:
3 + 2(4 + 7)

Answers

Answer:

25

Step-by-step explanation:

Let's simplify this, while still doing it.

3 + 2(4 + 7)

3 + 2(11)

3 + 22

25.

the answer is 25!!

Answer:

The answer is 25

2(4+7)

8+14 + 3 = 25

Step-by-step explanation:

2/3 ×3 3/5 give your answer in its simplest form.

Answers

Answer:

6/5

Step-by-step explanation:

The answer is 6/5. 1⅕ in mixed number.

Answer:

2/3×3×3/5=2/1×3/5

=6/5

The Ratio of the length of Sam's rope is to that of his friend Ryan's rope is 2 : 7. If Ryan's rope is 42 inches long, how long is Sam's rope ?

Answers

Step-by-step explanation:

Sam's rope = 42 inches * (2/7) = 12 inches.

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