help is super appreciated this should probably be fast
2. Determine the y – intercept, zeros, the equation of the axis of symmetry and vertex of each quadratic
relation.
y = (x − 3)(x+3)

Answers

Answer 1

[tex]\\ \rm\rightarrowtail y=(x-3)(x+3)=x^2-9[/tex]

Zeros are x intercepts

(3,0) U(-3,0)

#2

Y intercept=-9

#3

Axis of symmetry=x=0

#4

Vertex=(0,-9)
Help Is Super Appreciated This Should Probably Be Fast2. Determine The Y Intercept, Zeros, The Equation
Answer 2

Answer:

Given quadratic equation:  y = (x - 3)(x + 3)

Zeros (x-intercepts)

The zeros of a quadratic equation are the points where the graph of the quadratic equation crosses the x-axis.  So the x-intercepts (zeros) are when y = 0

⇒ (x - 3)(x + 3) = 0

⇒ (x - 3) = 0  so  x = 3

⇒ (x + 3) = 0  so  x = -3

Therefore, the x-intercepts are at (3, 0) and (-3, 0).

y-intercept

The y-intercept is the point where the graph crosses the y-axis.  So the y-intercept is when x = 0

⇒ (0 - 3)(0 + 3) = -9

Therefore, the y-intercept is at (0, -9)

Vertex

Expand the equation so that it is in standard form y = ax² + bx + c:  

⇒ y = x² - 9

x-value of vertex is -b / 2a ⇒ -0 / 2 = 0

substitute the found value of x into the equation to find y:

⇒ y = (0)² - 9 = -9

Therefore, the vertex is (0, -9)

Axis of symmetry

Axis symmetry of a quadratic equation is x = a where a is the x-value of the vertex.

Therefore, the axis of symmetry is x = 0


Related Questions

Help help help help help hel

Answers

Answer:

12

Step-by-step explanation:

P = 8

Q = 16

The value of PQ = 16 - 8 = 8

Since M is the midpoint of PQ,

PM = MQ

PM + MQ = PQ

PM + PM = PQ

2 PM = 8

PM = 8 / 2

PM = 4

The value of M

= 8 + 4

= 12

Answer:

M = 12

Step-by-step explanation:

If you want to find the midpoint between the numbers 8 and 16, follow the simple steps below.

First, add the two numbers: 8 + 16 = 24

Secondly, divide the total by 2: 24/2 = 12

The midpoint between 8 and 16 is 12.

hope this helps!! p.s. i really need brainliest :)

Eric bought 8 pounds of flour for $5. How many pounds of flour did he get per dollar? If necessary, round your answer to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

8 pounds of flour = 5 dollars

1 pound of flour = x

Cross multiply

8x = 1*5              Divide by 8

8x/8 = 5/8

5/8 = 0.625

Therefore x = 0.625 dollars will buy 1 pound of flour.

Rounded x = 0.63

how many feet is the answer?

Answers

Answer:

1023 feet

Step-by-step explanation:

Sally planted 3/8 rows of beans and 1/8 rows of Tyrion’s in a garden. In total how many rows of vegetables did sally plant?

Answers

Answer:

4/8 or 1/2 rows

Step-by-step explanation:

Hope this helps! ^^

I’m stuck pls help me

Answers

Answer:

B and E

Step-by-step explanation:

I think it’s E and B

Given g(x)
-2 – 2, find g(-3).
Answer:

Answers

The calculation of the function given shows that since g(x) = -2x² - 9, the value of g(3) will be -27.

How to calculate the function?

From the complete function, it should be noted that the value of g(x) = -2x² - 9.

Therefore, the value of g(3) will be calculated thus:

= -2(3)² - 9

= -2(9) - 9.

= -18 - 9

= -27

In conclusion, g(3) is -27.

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When a constant force acts
upon an object, the acceleration of the object varies Inversely with Its mass. When a certain constant force acts upon an object witt
mass 5 kg, the acceleration of the object Is 15 m/s-
If the same force acts upon another object whose mass is 3 kg, what is this object's acceleration?

Answers

Answer:

25

Step-by-step explanation:

First expression: A= k/M

when A = 15 and M = 5, k = A×M = 75

therefore, when M = 4, A = 75/3 = 25

Look at this square. Find the value of t.

Answers

Answer:

t = 2

Step-by-step explanation:

The perimiter is the lenth of the out side of the square. Sense we know its a square we know that the side lenth are all the same and sense we have 4 sides we would have to devide 8 by 4

8/4

which equals

t=2

Answer:

Step-by-step explanation:

Perimeter of square:

Perimeter = 4*side

[tex]\boxed{Side =\dfrac{Perimeter}{4}}[/tex]

[tex]t=\dfrac{8}{4}[/tex]

t = 2 yards

Find x on the triangle geometry please help

Answers

Answer:

[tex]\sf x=7\sqrt{6}[/tex]

Step-by-step explanation:

As the base angles of the triangle are the same, then the legs of the right triangle are also equal.  Therefore, we can use Pythagoras' Theorem to calculate x.

Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse of the right triangle)

Given:

a = 7√3b = 7√3c = x

Substituting the given values into the formula:

[tex]\sf \implies (7\sqrt{3})^2+(7\sqrt{3})^2=x^2[/tex]

[tex]\sf \implies147+147=x^2[/tex]

[tex]\sf \implies x^2=294[/tex]

[tex]\sf \implies x=\sqrt{294}[/tex]

[tex]\sf \implies x=\sqrt{49 \cdot 6}[/tex]

[tex]\sf \implies x=\sqrt{49}\sqrt{6}[/tex]

[tex]\sf \implies x=7\sqrt{6}[/tex]

[tex]\\ \rm\Rrightarrow cos\theta=\dfrac{Base}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow cos45=\dfrac{7\sqrt{3}}{x}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1}{\sqrt{2}}=\dfrac{7\sqrt{3}}{x}[/tex]

[tex]\\ \rm\Rrightarrow x=7\sqrt{3}\sqrt{2}[/tex]

[tex]\\ \rm\Rrightarrow x=7\sqrt{6}[/tex]

Complete the table below with the amounts of raspberry juice, apple
juice and soda needed to make the different quantities of Fruit Fizz.
mixture must taste exactly the same each time.

Answers

So this is science. I would pick raspberry juice instead of apple because it’s right

Hope this helps!!

Solve the equation for y.

2x + 5y = 5


y=25x+1

y=−10x+25

y=−25x+1

y=25x+5

Answers

Answer: C

Step-by-step explanation:

[tex]2x+5y=5[/tex]

[tex]\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}[/tex]

[tex]2x+5y-2x=5-2x[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]5y=5-2x[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}5[/tex]

[tex]\frac{5y}{5}=\frac{5}{5}-\frac{2x}{5}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\bf{y=-\frac{2}{5}x + 1}[/tex]

please help i'm asking to help the second time hope someone sees this I'll give 10 points and brainliest I promise​

Answers

2. i) 1/2 × x

x/2

ii) 1/5 × x

x/5

iii)1-(1/2+1/5)

1- (5/10+2/10)

10/10- 7/10

3/10

3/10×x

3x/10

3. i)15× $p

15p

ii) cost for 4 bananas= $g

cost for 1 banana = $g÷4

cost for 16 bananas = $g/4 ×16

=$g×4

=4g

iii)

Cost for an orange= $p

Cost for 5 oranges = 5×$p

Cost for 1 banana= $g÷4

Cost for 2 bananas = 2× ($g÷4)

Add both of the expressions to get the total cost for 2 bananas and 5 oranges.

(2×$g÷4)+(5×$p)

($g×2/4)+(5×$p)

2/4 can be simplified as 1/2

g×1/2+5p

(g/2)+5p

Hope this helps!

3x²+5xy=–4
xy–2x=—3
[tex]solve simultinously[/tex]

Answers

[tex]xy - 2x = - 3[/tex]

[tex]xy = 2x - 3[/tex]

____________________________________________

[tex]3 {x}^{2} + 5xy + 4 = 0[/tex]

[tex]3 {x}^{2} + 5(2x - 3) + 4 = 0[/tex]

[tex]3 {x}^{2} + 10x - 15 + 4 = 0[/tex]

[tex]3 {x}^{2} + 10x - 11 = 0[/tex]

[tex]delta = {10}^{2} - 4(3)( - 11)[/tex]

[tex]delta = 100 + 132[/tex]

[tex]delta = 232[/tex]

Thus;

[tex]x = \frac{ - 10 + \sqrt{232} }{6} \: \: or \: \: x \frac{ - 10 - \sqrt{232} }{6} \\ [/tex]

[tex]x = \frac{ - 10 + 15.23}{6} \: \: or \: \: x = \frac{ - 10 - 15.23}{6} \\ [/tex]

[tex]x = \frac{5.23}{6} \: \: or \: \: x = \frac{ - 25.23}{6} \\ [/tex]

[tex]x = 0.8716 \: \: or \: \: x = - 4.205[/tex]

____________________________________________

If x = 0.8716 then :

[tex]0.8716 \: y = 2(0.8716) - 3[/tex]

[tex]0.8716 \: y = 1.7432 - 3[/tex]

[tex]0.8716 y= - 1.2568[/tex]

[tex]y = \frac{ - 1.2568}{0.8716} \\ [/tex]

[tex]y = - 1.4419[/tex]

And if x = - 4.205 then :

[tex] - 4.205 \: y = 2( - 4.205) - 3[/tex]

[tex] - 4.205 \: y = - 8.410 - 3[/tex]

[tex] - 4.205 \: y = - 11.410[/tex]

[tex]y = \frac{ - 11.410}{ - 4.205} \\ [/tex]

[tex]y = 2.7134[/tex]

And we're done

Have a great day ♡


The debate team has 2 members. Each member sold c coupon books as a fundraiser. Write
an expression that shows the number of coupon books the club sold.

Answers

The equation is y = 2c

Let y=6 and z=2. Translate “z less than y” into an algebraic expression and solve it

Answers

Answer:

y - z; 6 - 2; 4

Step-by-step explanation:

z less than y means subtract z from y

y - z

Substitute the given values.

6 - 2

4

what is equivalent to 2
x
2

7
x

3
=
0

Answers

Answer:

I'm confused with this, I dont understand what you are asking.

Step-by-step explanation:

2 is equivalent with a lot of things,

1+1

3-1

92-90

7×7-47

4÷2

the list goes on...

Question
Which expression is equivalent to 5x2 – 18x + 9?
O (5x - 1)(x – 9)
O (5x – 9)(x + 1)
O (5x – 3)(x - 3)
O (5x + 3)(x - 3)

Answers

Answer:

(5x – 3)(x - 3)

Step-by-step explanation:

Break the expression into groups

[tex]=\left(5x^2-3x\right)+\left(-15x+9\right)[/tex]

Factor out

[tex]=x\left(5x-3\right)-3\left(5x-3\right)[/tex]

Factor out common terms

[tex]=\left(5x-3\right)\left(x-3\right)[/tex]

Hence, Answer is (5x-3)(x-3)

~Lenvy~

The expression which is equivalent to 5x² - 18x + 9 is (5x – 3)(x - 3).

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is,

5x² - 18x + 9

We have to find the equivalent expression of this.

We have to factor this.

Using quadratic formula,

x = -(-18) ± √[(-18)² - (4 × 5 × 9)] / (2 × 5)

  = (18 ± √144) / 10

  = (18 ± 12) / 10

x = 3 and x = 3/5

So the expression can be factored as

(x - 3)(x - 3/5) = 0

(x - 3)(5x - 3) = 0

Hence the correct option is (5x – 3)(x - 3).

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Donte is making brownies. For one batch, the recipe requires 1 5/6 cups of chocolate chips, and 1/6 cup of sugar. What is the combined amount, in cups, of chocolate chips and sugar that is used in one batch of brownies?​

Answers

Answer:

2

Step-by-step explanation:

1 ⅚ + ⅙ = 1 6/6, also known as, 2

The answer would be 2 cups, because
1 5/6 +1/6 = 1 6/6 or 2

One of the legs of a right triangle measures 2 cm and the other leg measures 17 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

Answer:

17.1

Step-by-step explanation

a^2+b^2=c^2

2^2 + 17^2 = c^2

4 + 289 = c^2

293 = c^2

square root of 293 or 17.1

This practice contains 15 questions. If you get 3 incorrect, what will your percent grade be? Hint: Grades are based on correct questions/total questions.

A. 30%
B. 0.8%
C. 20%
D. 80%

Answers

Answer:

D. 80%

Step-by-step explanation:

15-3 = 12

12/15 = 4/5 = .8

80%

What table represents the relationship “A video game designer makes $35 per hour”? A 2-column table with 3 rows. Column 1 is labeled hours with entries 35, 70, 105. Column 2 is labeled Dollars with entries 1, 2, 3. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled Dollars with entries 35, 40, 45. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled Dollars with entries 36, 37, 38. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled Dollars with entries 35, 70, 105.

Answers

Answer:

d

Step-by-step explanation:

If EF || DG, and S and T are midpoints, then DG= ? Ef=13 ST=19

Answers

Answer: 25

Step-by-step explanation:

How much will the storage container
hold?
7 ft.
5 ft.
10 ft.
10 ft.
3 ft.
1 ft.
4 ft.
4 ft.

Answers

Answer:

The container will hold 190 ft^3 of volume of substance.

if the question means it.

Sandy brought 6 1/4 dozen cookies to the bake sale. Alejandro brought 1 3/4 fewer cookies than Sandy brought. Pierre brought 2 3/4 dozen fewer cookies than Alejandro brought. How many dozen cookies did Pierre bring? ​

Answers

Answer: 4 1/2 doezen cookies

Step-by-step explanation: just subtract. Hope this helps.

5h-2g=26
2h + 2g 2
find h and g​

Answers

Answer:

g = -3, h = 4.

Step-by-step explanation:

5h - 2g = 26

2h + 2g = 2      Adding the 2 equations:

7h = 28

h = 4.

Substituting for h in the first equation:

5(4) - 2g = 26

-2g = 26 -20 = 6

g = -3.

A test requires two hours to attend five questions if a candidate spent 80 minutes on the first two question what fraction of the time did he spend on the remaining three question​

Answers

Answer:

He spent ⅓ of the time on the remaining three questions.

Step-by-step explanation:

Let's first figure out what the question gives us, and what we need to find.

Given:

Test - 2 hours, 5 questions

Candidate - 80 minutes, 2 questions

Find:

Fraction of time he spent on remaining three questions

Start by finding the fraction of time that he spent on the first two questions.

Set up an unit converter to convert two hours to minutes.

[tex]2$ hours($\frac{60\text{ minutes}}{1 \text{ hour}})=2\cdot 60\text{ minutes}=120$ minutes[/tex]

Let "x" represent the fraction of time the candidate spent on the first two questions...

[tex]x=\frac{\text{Amount of Time spent on First Two Questions}}{\text{Total Time}}\\x=\frac{80\text{ minutes}}{120\text{ minutes}}[/tex]

[tex]x=\frac{80}{120}[/tex]

[tex]x=\frac{8}{12}[/tex]

[tex]x=\frac{2}{3}[/tex]

Let "y" represent the fraction of time the candidate spent on the remaining three questions...

[tex]y=1-\text{Fraction of Time spent on First Two Questions}\\y=1-\frac{2}{3}\\[/tex]

[tex]y=\frac{3}{3}-\frac{2}{3}\\[/tex]

[tex]y=\frac{1}{3}[/tex]

He spent ⅓ of the time on the remaining three questions.

2) Jose bought a magazine for $10 and some erasers for $2 per eraser. He spent a total of $26. How many erasers
he buy?

I can solve it i just need to know the equation with X

Answers

I think it’s 13 bc of you spent 26 in total you could do 26 divided by 2 and that will give you 13. I hope this helps
The eq is
1 magazine for 10$ + x times eraser for 2$= $26

Let w = width and 4 + w = length. Which equation represents the situation?

Answers

Answer:

Depends on whether you're looking for area or perimeter. Follow the equations below

Step-by-step explanation:

This depends on whether you're being asked to find perimeter of area

Perimeter is equal to 2(length) + 2(width)

In which case perimeter would be 2(4 + w) + 2(w)

Which can be simplified to 8 + 2w + 2w = 4w + 8

However, Area is equal to length times width

Which would be (4 + w) * w = 4w + w^2

Answer:

Step-by-step explanation:

✔ w(4 +w) = 60

Please help! These data show the number of miles each of the 9 members of a track team ran for the week.

11 11.5 10.5 17 14.5 14.5 18 17 19

What is the IQR (interquartile range) for these data?


6.25

7.00

14.50

17.50

Answers

Answer:

14.50

Step-by-step explanation:

i took the quiz on k12 truse me i wish luck

The IQR for these data is 6.25.

Answer choice A is correct.

What is the interquartile range?

An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.

W can find the values of the upper and lower quartile and median from a box plot.

The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.

The formula used is Upper quartile - Lower quartile.

We have,

To find the IQR, we first need to find the first and third quartiles.

First, we need to order the data from smallest to largest:

10.5, 11, 11.5, 14.5, 14.5, 17, 17, 18, 19

Next, we find the median (middle value) of the data set.

Since we have an odd number of data points, the median is the middle number, which is 14.5.

To find the first quartile (Q1), we need to find the median of the lower half of the data set.

That is, we need to find the median of 10.5, 11, 11.5, and 14.5.

The median of this subset is (11 + 11.5) / 2 = 11.25.

To find the third quartile (Q3), we need to find the median of the upper half of the data set.

That is, we need to find the median of 17, 17, 18, and 19.

The median of this subset is (17 + 18) / 2 = 17.5.

Now we have the first quartile (Q1) = 11.25 and the third quartile (Q3) = 17.5. The IQR is the difference between Q3 and Q1:

IQR = Q3 - Q1

= 17.5 - 11.25

= 6.25

Therefore,

The IQR for these data is 6.25.

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Brand 1 Brand 2 Brand 3 Store 1 Store 2 Store 3 Laptop Comparison Chart Criteria for laptop search: Laptop specifications: • At least 3GB of memory • At least 250 GB hard drive • At least 14” Screen • Weigh at most 7 pounds • At least a 1 year manufacturer warranty • Built-in wireless router • Must be new, not used of refurbished Spending Limit: $800 • Includes laptop, sales tax, and shipping • For the purpose of this project, use 7.5% sales tax

Answers

The total amount that will be paid for the products with a sales tax of 7.5% will be $1290.

How to compute the amount from the sales tax?

Your information isn't complete as the table denoting the appropriate values aren't given.

Let's assume that the price of a product A is given as $800 ane product B is $400. If the sales tax is 7.5%, the total amount that will be paid will be:

= ($800 + $400) + (7.5% × $1200)

= $1200 + $90

= $1290

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You are given two offers for a monthly wage. Option A is to be paid one cent on the first day of the month, with your wages doubling each day (2 cents on day 2, 4 cents on day 3, 8 cents on day 4, etc.) for the rest of this 30 day month. Option B is to be paid $1 on the first day of the month, with your wages increasing $100 each day ($101 on day 2, $201 on day 3, $301 on day 4, etc.). Which option will give you more money by the end of the month? Make sure to support your answer. Also remember to find the equations for the exponential function and the linear function. Substitute 30 in for x and simplify. Joan displays anxiety, irritability, inability to concentrate, and apathy. She also reexperiences a disastrous event through nightmares and vivid memories. Joan is experiencing To solve this equation for x, we must get x by itself. How would we do this?X + 4 = 7A. Add 4 to both sides.B.Subtract 4 from both sides. what is the measure of the space occupied by a solid. (Measured in cubic units) Thermal energy circulates through the atmosphere and oceans by the process of convection. Which source of energy drives convection?a.nuclear energyb.electromagnetic energyc.gravitational potential energyd.solar energy The sleepy hungry infant cried out for his mother's attention. What is the best way to rewrite this sentence? A. The sleepy hungry, infant cried out for his mother's attention. B. The sleepy, hungry infant cried out for his mother's attention. C. The sleepy, hungry, infant cried out for his mother's attention. D. The sleepy hungry, infant, cried out for his mother's attention. find the total surface area of the net below. This i-ready lesson is hurting my brain, anyway I need help on this one Which of these best explains why transfer RNA is often considered a "bridge" molecule?A. It "connects" the strands of RNA to form a double helix. B. It "connects" all of the ribosomal RNA bases together. C. It "connects" ribosomes with the correct amino acid. D. It "connects" RNA to DNA please answer these quickly i need this If the government removes a binding price ceiling from a market, then the price paid by buyers will. pt 2 to my last question Given h(r) = 5r-5,find h(2) One of the most careless things a personcould do is to...A) operate a motor vehicle while underthe influence of alcohol or otherdrugs.B) chew gum while driving.C) activate a vehicle's turn signal.D) make use of a one-way street. What changes did Von Moltke put in place? Why do you think he made these changes? Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated. How to solve 4 divided by 5 3 3/5 + 1 1/6 answer as a fraction $350 saved at 4.3 interest for 5 years Review the map that shows earthquake zones as yellow lines and active volcanoes as red dots. what pattern can you determine about the focation of the volcanoes and the earthquake zones? also explain why the earthquake zones are long lines on the globe. write 3 to 5 sentences.