Sandra wrote p(x) = 30x + 5x2 in vertex form. Her work is below. 1. p(x) = 5x2 + 30x 2. p(x) = 5(x2 + 6x) 3. (six-halves) squared = 9; 4. p(x) = 5(x2 + 6x + 9) – 5(9) 5. p(x) = 5(x + 3)2 – 45 Describe Sandra’s function. What is the vertex of this function? Is it a maximum or a minimum? What is the axis of symmetry of this function?

Answers

Answer 1

Answer: 1st question• (-3, -45)

2nd question• x= -3

Step-by-step explanation:

just did it on edge

Answer 2

The vertex of the function p(x) = 30x^2 + 5x^2 is (-3,-45), and it is a minimum

The description of the function

The function is given as:

p(x) = 30x^2 + 5x^2

The description of the function is that the function is a quadratic function

The vertex

From the question, we have:

p(x) = 5(x + 3)^2 – 45

A quadratic function represented as: p(x) = a(x - h)^2 + h has the vertex (h,k)

This means that the vertex is (-3,-45), and it is a minimum because a is positive i.e. a = 5

The axis of symmetry

This is the x-coordinate of the vertex.

Hence, the axis of symmetry is x = -3

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Related Questions

Which of the following best describes the function shown below?
a.Linear
b.Quadratic
c.Exponential Growth
d.Exponential Decay

Answers

Answer: I need to see the picture of the work first to tell u

Step-by-step explanation:

Quadratic because I feels what I feels

rt - 2n = y solve for t

Answers

Answer:

[tex]t=\frac{y+2n}{r}[/tex]

General Formulas and Concepts:

Pre-Alg

Equality Properties

Step-by-step explanation:

Step 1: Define equation

rt - 2n = y

Step 2: Solve for t

Add 2n to both sides:                    rt = y + 2nDivide both sides by r:                   t = (y + 2n)/r

Just answer correctly to get brainleist and 10 pts! :)

Answers

Answer:

a.

Step-by-step explanation:

(2, 10) and (4, 10) have the same y value so it's not a function etc. etc.

Answer:

D. The relation represents y as a function of x, because each value of x is associated with a single value of y

Step-by-step explanation:

As long as no one x-value has two solutions, it can be considered a function. The x-values are {0, 2, 4, 6, 8}. Since there isn't any repetition, this can be considered as a function. The fact that 10 is repeated in the y-values doesn't affect that it is a function.

Which answer choice shows 12.444 rounded to the nearest half?
A. 11
B. 11.5
C. 12
D. 12.5

Answers

Answer:

C. 12

Step-by-step explanation:

Remember 0 to 4 turn it back

5 or above give it a shove.

Since 12.444 is around 0 to 4.

We can round that to 12.

Answer:

C.12

Step-by-step explanation:

Rounding a number involves replacing the number with an approximation of the number that results in a shorter, simpler, or more explicit representation of said number based on specific rounding definitions. For example, if rounding the number 2.7 to the nearest integer, 2.7 would be rounded to 3.

I participated in a math competition but I did not do very good. Does anybody have some tips?

Answers

Study 5 times on the subject you are focusing on.

what is y= (5x+7) (-2x+3) in standard form

Answers

Answer:

y = 10x^2 + x +21

Step-by-step explanation:

For which equations is the solution for x the same number?
i. 15 - X = -3
ii. x/2 + 6 = 15
iii. -1/3x - 5.7 = 0.3
O A. i and ii
O B. i and iii
O C. ii and iii
O D. i, ii and iii
O E. none of the questions

Answers

Answer:

A. i and ii

Step-by-step explanation:

i) 15 - x = -3

x=18

ii) x/2 + 6 = 15

x/2 = 9

x= 18

iii) -1/3x -5.7 = 0.3

-1/3x = 6

x = -18

A chemical company makes up batches of copper sulfate solution by adding 250 kg of copper sulfate powder to 1000 liters of water. A laboratory chemist wants to make a solution of identical concentration, but only needs 350 mL (0.35 liters) of solution.

How much copper sulfate powder should the chemist add to the water? Enter your answer in the box below in decimal format.

The mass of copper sulfate that the chemist should add is______
kg.
help me please

Answers

Answer:

0.07 kg

Step-by-step explanation:

Assuming copper sulfate has same density as water

Chemical to water ratio as per given is:

250 kg : 1000 liter = 1 kg : 4 liter

Lab solution is 350 ml

Converting to same ratio as above:

350/(1 + 4) = 70 ml

70 ml : 280 ml = 70 g : 180 ml = 0.07 kg : 180 ml

Answer is 0.07 kg

5) y=-2
4x – 3y = 18
This

Answers

Answer:

x=3

Step-by-step explanation:

if y is -2, 3*-2 =-6, 4x-(-6) = 4x+6=18

18-6=12

12/4=3

x=3 I hope you learned something

HELPPPPPPP ASAPPPPPP PLEASEEEE

Answers

I believe the answer is 70. Just ask if you want an explanation

70

f(-4)=5(2-3(-4)

f(-4)=10+60

f(-4)=70

Graph the linear equation x=4.

Answers

Here is your answer ⬇️

A linear equation has only more than one additional, that may be expressed as [tex]\bold{ax + by = c}[/tex], and the further discussion can be defined as follows:

In this, No factor has been raised the power which is greater than one or utilized as the denominator of a fraction.  When we discover pairs of values that satisfy a linear model and plot them on a coordinate grid, all the points fall on the same line.

Please find the attached file of the graph.

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There are 28 red pens and 84 black pens in a bag.
Write down the ratio of the number of red pens to the number of black pens.
Give your ratio in its simplest form.

Answers

Answer:

1/3

Step-by-step explanation:

The ratio can be written as a fraction. This would be 28/84. You simplify ratios just like how you simplify a fraction. 28x3 is actually 84, so the answer in simplest form is 1/3.

Hope this helps and have a great day!! []~(^▽^)~*

The ratio of the number of red pens to the number of black pens in simplest form is, 1 : 3.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

We have to given that;

There are 28 red pens and 84 black pens in a bag.

Here, Number of red pens = 28

And, Number of black pens = 84

Hence, The ratio of the number of red pens to the number of black pens is,

⇒ Number of red pens : Number of black pens

⇒ 28 : 84

⇒ 28/84

⇒ 14 / 42

⇒ 1 / 3

⇒ 1 : 3

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PLEASEEEE HELPPPPPP WIll add extra pointtss

Answers

Answer is x = 4
Explanation :-

As B is midpoint of SR :- SB = BR and if. SR = 6x then SB = 3x
AC parallel SR ( MID POINT THEOREM )
Hence AC parallel SB
Similarly , AB parallel CS (MID POINT THEOREM)
So ABCS is a parallelogram
And we know that in parallelogram opposite sides are equal so AC = SB
So now we have AC = 5x - 8 and SB = 3x
So, 5x - 8 = 3x
5x - 3x = 8
2x = 8
x = 4

Find f(4) if f(x)=−3x2+11x+37

Answers

Hi there!

[tex]\large\boxed{f(4) = 33}[/tex]

f(x) = -3x² + 11x + 37

Substitute in 4 for x to find f(4):

f(4) = -3(4)² + 11(4) + 37

f(4) = -3(16) + 44 + 37

f(4) = -48 + 44 + 37

f(4) = 33

f(4) = -3(4)^2 + 11(4) + 37
-3(16) + 44 + 37 = -48 + 44 + 37
f(4) = 33

HELP PLEASE
in order!!!

Answers

Answer:

m<6=54 m<4=126

Step-by-step explanation:

5 to the 2 power
help

Answers

Answer:

25

Step-by-step explanation:

5²=25

Answer:

25

Step-by-step explanation:

it is like 5 times 5

Games with this rating contain content which the ESRB believes is generally suitable for those aged 17 years and older.
Question 4 options:

A T Teen

B eC Early Childhood

C M Mature

D E Everyone

Answers

Answer:

C. Mature 17+

Step-by-step explanation:

These games are usually not recommended at all for anyone below the age of 17 because these pieces of content include:

Violence

Smoking

References To Smoking

Blood

Language

Sexual Content

These are just a few of the topics these types of games may include.

807 x 491


AND THEM ESTIMATE THE ANSWER

Answers

Answer:

396237 / Estimation would be 396000 I believe.

Step-by-step explanation

Answer:

396000

Step-by-step explanation:

Solve the inequality.
5(w - 3) < 5w + 20

Answers

Answer:

-15 < 20

Step-by-step explanation:

5(w - 3) < 5w + 20

Distribute;

5w - 15 < 5w + 20

Subtract 5w from both sides;

-15 < 20

Answer:

w<5

Step-by-step explanation:

(5*w-3*5)<5w+20

5w-15<5w+20

5w-5w<20-15

w<5

What is the Zero of f ?

Answers

Answer:

(-1, 0)

Step-by-step explanation:

Is 6.755 a rational number

Answers

Answer:

no.....

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

it is not an ongoing repeated number

1. 1.01 x 1.1 *
2.11
11.111
1.1
1.011

Answers

Answer: 1.1

1.01 x 1.1 = 1.111

I hope this is good enough:

HELP PLEASEEEEEEE ASP!!
WILL GIVE BRAINLIEST ❤️

Find the slope of the line passing through the given
points using the slope formula. Describe the slope as
positive, negative, zero, or undefined.
(-7, -18) and (-7,-4)

Answers

Answer:

Step-by-step explanation:

Slope formula= rise over run, or y2-y1 over x2-x1

y2=-4 y1=-18 x2=-7 x1=-7

-4-(-18)/-7-(7)

-22/-14 negative

Answer:

7/11

Step-by-step explanation:

the slope is positive. tell me what happens

is my answer correct??

Answers

Answer:

no

Step-by-step explanation:

Answer:

you are correct!!

Step-by-step explanation:

Please help me I will really appreciate it!!!

Answers

The answer is D

U would subtract a^2 then square both sides to isolate the variable

Question 1 of 10
Which of Saturn's moons has an atmosphere that is most like Earth's?
O A. Pandora
B. Atlas
Ο Ο
C. Titan
O
D. Europa
SUBMIT

Answers

I’m pretty sure it’s C. Titan

Answer:

The answer is Titan

Step-by-step explanation: the atmosphere of Titan is similar to earth's atmosphere because Titan's atmosphere is mostly made up of nitrogen and so is Earth's atmosphere.

Solve the following inequality for g. Write your answer in simplest form.
-5-3(5g-4)≥2g+6-10

Answers

Answer:

[tex]g\leq \frac{11}{17}[/tex]

Step-by-step explanation:

[tex]-5-3(5g-4)\geq 2g+6-10\\-5+(-15g+12)\geq 2g-4\\-5+(-15g)+12\geq 2g-4\\7-15g\geq 2g-4\\7\geq 17g-4\\3\geq 17g\\\frac{11}{17} \geq g\\g\leq \frac{11}{17}[/tex]

The value of g in the given inequality -5-3(5g-4) ≥ 2g+6-10 is equal to or less than 11/17, g ≤ 11 / 17

What is an inequality?

A relationship between two expressions or values that are not equal to each other is called inequality.

Given is an inequality -5-3(5g-4) ≥ 2g+6-10

Solving for g,

-5-3(5g-4) ≥ 2g+6-10

-5-15g+12 ≥ 2g+6-10

-15g+7 ≥ 2g-4

7 ≥  17g -4

11  ≥ 17g

11 / 17  ≥ g

g ≤ 11 / 17

Hence, the value of g is equal to or less than 11/17, g ≤ 11 / 17

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If f(1)=7f(1)=7 and f(n)=f(n-1)+2f(n)=f(n−1)+2 then find the value of f(4)f(4).

Answers

Answer:

Step-by-step explanation: f1 =7

f2 = 5(7) + 2 = 37

f3 = 5(37) + 2 = 27

f4 = 5(9) + 2 = 47____

The value of f(4)f(4) f(1) = 7f(1) = 7 and f(n) = f(n-1) + 2f(n) = f(n−1) + 2 is,

121.

What is a function?

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, f(1) = 7f(1) = 7 and f(n) = f(n-1) + 2f(n) = f(n−1) + 2.

By this pattern,

f(4)f(4) = [f(4 - 1) + 2f(4)][f(4 - 1) + 2f(4)].

f(4)f(4) =  [f(3) + 2f(4)][f(3) + 2f(4)].

f(4)f(4) =  [f(3) + 2(4)][f(3) + 2(4)].

f(4)f(4) =  [3 + 8][3 + 8].

f(4)f(4) =  [11][11].

f(4)f(4) =  121.

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Last month, Juan ate 6 apples, 7 bananas, 4 peaches, and
5 oranges. Write the ratio of Peaches to the total number
of pieces of fruit Juan ate last month as a fraction in
simplest form.

Answers

Answer:

4/18

Step-by-step explanation:

Which of the equations below can be solved by square roots? How would you solve the other equation? Explain your reasoning. Give the solutions to both equations. Equation A: x? - 9x = 0 Equation B : x2-9=0​

Answers

Answer:

Equation A is factoring, x=9 and x=0

Equation B is the square root, x=3

The equation A:  x² - 9 = 0 can be solved by square root method

The equation B: x²  -  9x = 0 can only be solved by factoring

The given equations are:

Equation A:    x²  -  9x = 0

Equation B:    x²  -  9 = 0

The equation x² - 9 can be rewritten as:

x²  -  3² = 0

This is a difference of two squares which can be further expressed as:

(x  -  3)(x + 3) = 0

x  - 3  =  0

x  =  3

x  +  3  = 0

x  =  -3

This shows that the equation x² - 9 = 0 has two roots x = -3 and x = 3

Also, from x² - 9 = 0

[tex]x = \pm\sqrt{9} \\\\x = \pm3[/tex]

For the equation x²  -  9x = 0

This can be factored as x(x - 9) = 0

x  = 0,  x = 9

This is not solved by the square root method.

Therefore, the equation x² - 9 = 0 can be solved by square root method

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