Put the equation below into vertex form.

y=(x+9)(x+25)

Answers

Answer 1
Answer: (-17,-24)
Explanation: y= x^2+34x+225
a=1, b=34
X= - 34/2+1
x = -17
Y= (x+9)(x+25), x=-17
Y=-64
So vertex is (-17,-64)
Answer 2
If you put the equation into standard form and use point of symmetry formula to find the vertex you can answer the problem.

standard form:
y = ax^2 + bx + c
y = x^2 + 34x + 225
a=1 b=34 c=225

point of symmetry formula:
x = -b/2a
x = -34/2
x = -14

plug in x to find the vertex

y = (-14+9)(-14+25)
y = (-5)(11)
y = -55

vertex = (-14,-55)

vertex form
y = a(x-h)^2 + k [where (h,k) is the vertex]

so your answer is:

y = 1(x-(-14))^2 + (-55)

or

y = (x+14)^2 - 55


I hope this helps and is the BRAINLIEST!!

Good luck with your studies!

Related Questions

if y=5x-3, find the value of y when x=0

Answers

Answer: [tex]Y=-3[/tex]

Step-by-step explanation:

[tex]Y=5x-3[/tex]

[tex]Y=5 * (x) -3[/tex]

Then replace x by 0

[tex]Y=5 * (0) -3[/tex] or [tex]Y= 5(0) -3[/tex]

[tex]Y=0 -3[/tex]

[tex]Y=-3[/tex]

NEED HELP WITH NUMBER 4! GIVING BRAINLIEST AND 20 POINTS TO BEST ANSWER. GIVE MODELS IF U CAN! THANKS! YOU CAN DO IT! :D

Answers

Answer:

10/21

Step-by-step explanation:

5

7

+

2

3

=  

5 × 3

7 × 3

+

2 × 7

3 × 7

=  

15

21

+

14

21

=  

15 + 14

21

=  

29

21

=  

1 8

21

[tex]Hello[/tex] [tex]There![/tex]

Let's do this step-by-step explanantion!

[tex]\frac{5}7}[/tex] × [tex]\frac{2}{3}[/tex]

Apply the fraction rule:

[tex]\frac{5x2}{7 x 3}[/tex]

Multiply the numbers: [tex]5[/tex] × [tex]2=10[/tex]

[tex]=\frac{10}{7 x 3}[/tex]

Again, Multiply the numbers: [tex]7[/tex] × [tex]3=21[/tex]

[tex]=\frac{10}{21}[/tex]

Answer:

[tex]\frac{10}{21}[/tex]

Also, sorry. I wasn't able to give you a model.

Hopefully, this helps you!!

[tex]OwoSokka[/tex]

A rectangular prism has a base area of 23 cm² and a height of 6 centimeters. What is the volume of the prism?


Enter your answer in the box.



cm³

Answers

Answer:

Answer is 138

Step-by-step explanation:

I took the test and it was 138

a)0.76×0.004

b)0.078÷0.5

c)0.834+0.79

d)0.0034-0.0078

Answers

.00304
.156
1.624
-.0044

PLEASE HELP!! 100 POINTS
Consider this dilation.
(a) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
(b)What is the scale factor? Explain and show your work.

Answers

The red figure is the original and the green the dilation. We know this because the dilated points are marked with '.

Therefore, we can see that the dilation is a reduction of the original figure. The figure got smaller in size after the dilation.

To find the scale factor, we'll need to look at a few of the points before and after the dilation.

A = (-4, 4)

A' = (-2, 2)

C = (0, 4)

C' = (0, 2)

---The scale factor will be the same on all the points, which is why I have selected only 2 sets of points to look at.

Now, we can figure out the scale factor by thinking about how -4 got to -2, how 4 got to 2. In this case, it is simply dividing by 2. The scale factor must be in multiplication, so we cannot use division in reporting the scale factor, it must be a fraction.

2 / 4 = 1 / 2

The scale factor, therefore, is 1/2.

Hope this helps!

Answer:

a) A reduction.

b) 0.5 or 1/2

Step-by-step explanation:

a) The new points are indicated by the ' next to the letters. By observing the graph, we can see that new points have lessened, and therefore shrank the dialtion, so it is a reduction.

b) On each point, it is reducted by 0.5.

Point A went down from 4 to 2, which is half of 4.

Point B went down from -2 to -1, which is half of -2.

Point C went down from 4 to 2, which is half of 4.

Point D went down from 8 to 4, which is half of 8.

hope this helps!

What is the product of 1.0 x 102 and 1.8 x 103 expressed in scientific notation?

Answers

Answer:

[tex]1.8 \text{ x } 10^5[/tex]

Step-by-step explanation:

Hello!

To multiply terms, we multiply the like terms.

Like terms:

Like terms are terms with the same degree or base. In this example, 1 and 1.8 are like terms by degree, and 10² and 10³ are like by base.

Multiply:

(1 x 10²)(1.8 x 10³)(1 x 1.8)(10² x 10³)   --> exponeent rule: a^b * a^c = a^(b+c)1.8 x 10^5

That's your solution! 1.8 x 10^5

please help with the word problem

Answers

Answer:

10 mins

Step-by-step explanation:

i hope this helps

Answer:

10 minutes.

Step-by-step explanation:

10 x 3 is 30.

Find the area of a triangle

Answers

Answer:

240 feet

Step-by-step explanation:

The formula for finding the area of a triangle is: [tex]\frac{1}{2}bh[/tex], where [tex]b[/tex] stands for the base and [tex]h[/tex] stands for the height.

In this case, 20 is our height, and 24 is our base. Let's plug that into the formula.

[tex]1/2(20)(24)\\1/2(480)\\240[/tex]

Therefore, the area of the triangle is 240 feet.

#LearnWithBrainly

Use the image below to find the missing side lengths.

Answers

Answer:

Step-by-step explanation:

The principle quantum number value for the valance electron in the element n

Answers

Quantum numbers describe the states of electrons in their respective orbitals in an atom.

What is a Quantum number?

Quantum numbers are mathematical descriptions that show the possible states of an electron.

There are four types of quantum number

principal quantum number (n)

angular momentum quantum number (l)

magnetic quantum number (ml)

spin quantum number (ms)

The values for the principal quantum number (n) are integers greater than zero.

The values for the angular momentum quantum number (l) are integers from 0 to n - 1.

The values for the magnetic quantum number (ml) are integers from -l to l.

The values for the spin quantum number (ms) are -1/2 and 1/2.

Learn more about quantum numbers:

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Which of the following represents 5 + 10? Mark all that apply.​

Answers

ANSWER: E, C
this is because 5 divided by 10 is a half, 5/10 and the simplified version is also 1/2
Answer:

C and E i think

Step by step explanation:

A is 15,8

B is 0,25

C is 0,5

D is 0,4

E is 0,5


Is .26 greater than or less than 20/75

Answers

Answer:

20/75 is lesser than 26

Step-by-step explanation:

Hope this helps U

Answer:

Less than

Step-by-step explanation:

Simply convert 20/75 and compare the two:

0.26 O .266666666666666666666666

0.26 < .2666666666666666666666666

Therefore, 0.26 is less than 20/75

helllllppp!!!!!!!!!!!!11 marking brainliest!

Answers

Hello!

Let the unknown number be x.

Subtract 5:

x-5

Double the result: (multiply the result times 2):

2(x-5)

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)

Which function is a quadratic function? u(x) = –x 3x2 – 8 v(x) = 2x2 8x3 9x y(x) = x2 3x5 4 z(x) = 7x2 2x3 – 3.

Answers

The function [tex]u(x)=-x+3x^{2} -8[/tex] is a quadratic function due to the highest exponent being 2.

Given functions are:

[tex]u(x)=-x+3x^{2} -8[/tex]

[tex]v(x)=2x^{2} +8x^3+9x[/tex]

[tex]y(x)=x^{2} +3x^5+4[/tex]

[tex]z(x) =7x^{2} +2x^3-3[/tex]

What is a quadratic function?

A function of the form [tex]f(x)=ax^{2} +bx+c[/tex] with [tex]a\neq 0[/tex] is called a quadratic function means the highest exponent of polynomial should be 2.

Let us check one by one.

[tex]u(x)=-x+3x^{2} -8[/tex]

Highest exponent =2

The function is also of form [tex]f(x)=ax^{2} +bx+c[/tex] so u(x) is a quadratic function.

The functions v(x), y(x), and z(x) are having highest exponents as 3,5, and 3 respectively so they are not quadratic functions.

Hence, the function [tex]u(x)=-x+3x^{2} -8[/tex] is a quadratic function due to the highest exponent being 2.

To get more about quadratic functions visit:

https://brainly.com/question/1214333

I WILL GIVE BRAINLEIST(I NEED THIS RIGHT OR I HAVE TO START OVER)

Answers

Answer:

It’s irrational hope this is correct

Step-by-step explanation:

Answer:

rational

Step-by-step explanation:

Convert both to decimals

[tex]\\ \rm\Rrightarrow x=0.147147\dots [/tex]

[tex]\\ \rm\Rrightarrow 1000x=147.147..[/tex]

Hence..

999x=147x=147/99

On similar way we can get second one

So if

p/q and r/s [tex]\in [/tex]Q

Then

pr/qs also rational

What is the value of x? E Enter your answer in the box.​

Answers

Step-by-step explanation:

Right away i notice the 45° angle and the 90° angle in triangle RTQ, this means that the remaining angle must be 180-(90+45)=45°.

If it isn't obvious yet, triangle RTQ is a right isosceles triangle where RT=RQ=x.

Now looking at my other triangle RST

I know that RT=x, RS=23 and ST is unknown.

So i cannot apply my Pythagorean theorm.

HOWEVER i do notice 60 degree angle and the 90 degree angle, which means that the last angle must be 180-(90+60)=30° and this triangle (RST) must be a half equilateral triangle;,

Now i can use the relation which describes the relation between the hypotenuse(x) and the side opposite or facing the 60° angle (RS=23).

RS=x√3/2

2RS=x√3

2×23=x√3

43=x√3

43/3=x

x=4 :P

What is the following product?
3V24•3V45 3V69 4(3V6) 6(3V5) 6(3V10)

Answers

Answer:

option 3

Step-by-step explanation:

6(3√5)

Order of operations 5-2(5-27)+5

Answers

The answer to your question would be 54

Work Shown:

5-2(5-27+5

Calculate with parenthesis (5-27): -22

5-2(-22)+5

Multiply and divide (left to right) 2(-22): -44

5-(-44)+5

Add and subtract (left to right) 5-(-44)+5

54

A video game map had a total area of 16 square meters. What are two numbers that could represent the length and the width of the map?

Answers

Answer:

4 and 4

Step-by-step explanation:

4 times 4 is 16 which would equal the area.

You are ordering sweatshirts for your baseball team. The bar graph shows how many of each size you will need. Which choice below is NOT true?

Answers

Answer:

- more people need extra large sweatshirts than large sweatshirts

Answer: C

Step-by-step explanation:

More people need extra large sweatshirts than large sweatshirts.

Congruent vs. Similar Triangles
I really need an explanation on how to do this

Answers

Answer:

Cross multiply

Step-by-step explanation:

Please help with this​

Answers

For the hole in the above triangular, the area that we need is the area of the rectangular hole i.e length times breadth that is 3 × 2 = 6

Hence, 6 sq. ft. carpet will be needed

your dog weighs 18 kilograms. the medication dosage is 1 milliliter per every 10 pounds. rounded to the nearest milliliter, how many milliliters of medication should you give your dog? 1 kilogram = 2.2 pounds
A) 2mL
B) 3mL
C) 4mL
D) 5mL

Answers

Answer:4mL

Step-by-step explanation: if you multiply 18 by 2.2 you would get 39.6, you would divide by 10 to get 3.96, then you would round to the nearest whole number so you’d get 4.

By using a change of units, we will see that the dog needs 4 mL of medication.

How many milliliters of medication should you give your dog?

Here we need to see how many pounds are in 18 kilograms, using the relation:

1kg = 2.2lb

We get:

18 kg = 18*(2.2lb) = 39.6 lb

Now, for each 10 lb, we add 1mL of medication, then we need to divide the mass of the dog by 10lb, we get:

M = (39.6 lb)/(10 lb) = 3.96

Rounding to the next whole number we get 4, so the dog needs 4 mL of medication.

If you want to learn more about changes of units:

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Can someone please help with this? I'll give brainliest. I don't understand this... or the explanation it gives... the page before was just teaching how to solve simple problems to put on graphs what's an asymptote?

Answers

Step-by-step explanation:

Hello!
I'd love to help you learn.
I see the formula attached is [tex]4*(\frac{1}{2})^{x} =-2^{x}-1\\[/tex]

This problem is explaining you to graph, since algebraically it's a little more harder to try and find the solution.

Since they're both equal to each other, we can assign a variable like y, so we can make them into two individual lines.

You can use your scientific calculator to graph lines like this, or otherwise there are online sources (Desmos helps alot!) which can graph two equations as so.

Now that we have the corresponding system of equations, we can graph both.

[tex]y=4*(\frac{1}{2})^x\\ y=-2^x-1[/tex]
Let's graph them on Desmos on the same plane. The answers are attached. Red is the first equation, blue is the second.

What determines the solutions of a system of equations?

-No solution: the two lines will never intersect/does not intersect ever, which means that there are no set point where it satisfies both equations.

-One solution: the two lines intersect once and only once, meaning that there is that one set point where the x and y values both satisfy both equations.

-Multiple solutions: the two lines will intersect each other multiple times, meaning there are multiple set points where the x and y values satisfy both equations. You usually will not have to worry about these problem sets.

-Infinite solutions: the two lines are both the same line, which means every x and y value will satisfy both equations.

Looking at the solution attached, we can see that there are no places where a system of equations intersect, therefore ruling it that they have no solution.

And to answer your last question, an asymptote is a imaginary line in which a equation can approach closely and closely, but will never touch that imaginary line. Think of a line at y=[tex]\frac{1}{x}[/tex]. When you graph it, you can see that the two lines never ever EVER intersect the y-axis, or x=0; giving that x=0 as a vertical asymptote.

The charge of an atom is the sum of the charges of its protons, neutrons, and electrons.

• Each proton has a charge of e.
• Each neutron has a charge of 0.
Each electron has a charge of -e.

An atom consists of 6 protons, 10 neutrons, and 4 electrons.
How many electrons would need to be added to make the charge of the atom 0?

Answers

Answer:

2 electrons

Step-by-step explanation:

2 electrons is the answer

If u need explanation do mention in comments

Answer:

*2 electrons more*

Explanation:

In an atom the number of electron and protons must be same.

Otherwise, it will have charge and form ions.   [ ignore the neutrons ]

Here,

protons: 6electrons: 4

The electron and proton is unbalanced, In order to make them same.

2 more electrons need to be added to make total 6 electrons.

(systems of equations word problem)

ms. arrington has been raising money to take her classroom to the zoo. she has raised $580. the zoo has allowed all the adults to enter the zoo at a flat rate of $75 for all. if each student ticket costs $8.50, what is the maximum number of students allowed to attend the field trip?

a 59 students
b 60 students
c 58. students
d 61 students

Answers

Answer:

C

Step-by-step explanation:

All you have to do is divide 580 by 8.50 to easily distribute the money to each student equally.

Write an expression for the cost per person if five friends share the cost of a dinner equally.

Answers

Answer:

Let c=cost of dinner, 5=the # of people, and P=the cost of person

P=C/5

b. P = (1000)/5

P = 200

Step-by-step explanation:

A researcher collated data on Americans’ leisure time activities. She found the mean number of hours spent watching television each weekday to be 2. 7 hours with a standard deviation of 0. 4 hours. Jonathan believes that his football team buddies watch less television than the average American. He gathered data from 15 football teammates and found the mean to be 2. 3. Which of the following shows the correct z-statistic for this situation? -3. 87 -0. 26 3. 23 5. 22.

Answers

The value of the z statistic for the considered data is given by: Option A: -3.87 approximately.

How to find the z score (z statistic) for the sample mean?

If we're given that:

Sample mean = [tex]\overline{x}[/tex] Sample size = n Population mean = [tex]\mu[/tex] Sample standard deviation = s

Then, we get:

[tex]z = \dfrac{\overline{x} - \mu}{s}[/tex]

If the sample standard deviation is not  given, then we can estimate it(in some cases) by:

[tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]

where [tex]\sigma[/tex]population standard deviation

For this case, we're specified that:

Sample mean = [tex]\overline{x}[/tex] = 2.3Sample size = n = 15Population mean = [tex]\mu[/tex]  = 2.7Population standard deviation = [tex]\sigma[/tex] = 0.4

Thus, the value of the z-statistic is evaluated as:

[tex]z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{2.3- 2.7}{0.4/\sqrt{15}} \approx -3.87[/tex]

Thus, the value of the z statistic for the considered data is given by: Option A: -3.87 approximately.

Learn more about z statistic here:

https://brainly.com/question/27003351

please help me write quadratic equation given the roots and the leading coefficient

Answers

Answer:

Example Question: f(x) = 2x^2 + 2x - 1


If the leading coefficient is positive, the graph will be opening up (U) if the leading coefficient is negative, the graph will be opening down (n)


Roots are the x-intercepts that help find the axis of symmetry (add the two roots together and divide the result by 2 to get the axis of symmetry)


To find the vertex, simply imput the axis of symmetry into the given equation.


And that’s about it.

Step-by-step explanation:

I don’t know what you’re asking for??

HELP PLEASEE, ILL BRAINLIST!!

Answers

Answer:

(a) To find the missing angle, we would do inverse tan.

[tex]angle =tan^{-1}\frac{opp}{adj}[/tex]

[tex]angle = tan^{-1}\frac{17}{21}[/tex]

angle= 39.0 degrees or 0.7 radians

(b) To find the missing angle, we would do inverse sin.

[tex]angle= sin^{-1}\frac{opp}{hyp}[/tex]

[tex]angle= sin^{-1}\frac{12.7}{22.1}[/tex]

angle= 35.1 degrees or 0.6 radians

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