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
[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)
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
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 ♡
2) Jose bought a magazine for $10 and some erasers for $2 per eraser. He spent a total of $26. How many erasers
he buy?
I can solve it i just need to know the equation with X
Answers
1 magazine for 10$ + x times eraser for 2$= $26
If EF || DG, and S and T are midpoints, then DG= ? Ef=13 ST=19
Answers
Answer: 25
Step-by-step explanation:
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).
Learn more about Equivalent Expressions here :
https://brainly.com/question/27911936
#SPJ2
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
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.
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 = xSubstituting 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]
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.
Learn more about function on:
https://brainly.com/question/25638609
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
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.
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!
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:
I’m stuck pls help me
Answers
Answer:
B and E
Step-by-step explanation:
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
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
1 5/6 +1/6 = 1 6/6 or 2
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.
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
Hope this helps!!
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
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...
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! ^^
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
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.
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
Learn more about sales tax on:
https://brainly.com/question/9437038
how many feet is the answer?
Answers
Answer:
1023 feet
Step-by-step explanation:
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.
Learn more about the interquartile range here:
https://brainly.com/question/29204101
#SPJ3
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
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]
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
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 :)