We will see that the axis of symmetry is x = 3, so the correct option is c.
How to find the axis of symmetry of a quadratic function?
The axis of symmetry is a line of the form x = a, such that it divides the parabola in two halves.
Particularly, the axis of symmetry passes through the vertex, so the x-value of the vertex is equal to the value of the axis.
Then we only need to find the x-value of the vertex, remember that for a quadratic:
[tex]y = a*x^2 + b*x + c[/tex]
The vertex is at:
[tex]x = -b/2a[/tex]
Then in our case, the vertex is at:
[tex]x = -12/(2*-2) = -12/-4 = 3[/tex]
So the axis of symmetry is x = 3, then the correct option is C.
If you want to learn more about quadratic equations:
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You estimate that your new business's revenue will grow at a compounded rate of 30% each month for the first 6 months. If your third month's revenue is estimated at $5,000, what is your second month's revenue? (Round to the nearest dollar.)
a) $2,945
b) $3,846
c) $4,012
d) $4,333
Answer:
b
Step-by-step explanation:
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years
let a = second month's revenue
5000 = a(1.3)
a = 5000 / 1.3 = 3846
Math question!!!!!!!!!!!!!
Answer:
the correct answer for that would be identity property
Answer:
first one
Step-by-step explanation:
- A school is using 12 passenger vans to transport
students on a field trip. Write an expression
represent the number of vans needed for (s)
students
Answer: s/12 = v
Step-by-step explanation:
What is the volume of this figure?
Answer:
1920
Step-by-step explanation:
I'm just doing it my way because it feels easier, but multiply 14 x 20 x 8 to get the volume of the entire figure.
Then we subtract that box of air which is 10 x 4 x 8.
So 14 x 20 = 280
280 x 8 = 2240
Then we find the volume of the missing part which is
10 x 4 = 40
40 x 8 = 320.
We get 2240 - 320 = 1920
Remember kids, wear your masks!
Can someone help me plzz!! no links tho
Answer:
A
Step-by-step explanation:
Which of the x-values are solutions to the following inequality?
x <100
Choose all answers that apply:
Answer:
x=54
x=89
Step-by-step explanation:
I think it is the answer
It took each student 30 minutes to set up the puppet show and twice as long to put everything away. The show was open for 3 hours. How much time did each student spend on this event?
Answer:
4 and 1/2 hours or 270 minutes
Step-by-step explanation:
Each student spend 30 minutes to set up the puppet show.
+30
They spent twice as long to put everything away.
+30 +30
Current total: 90 minutes
The show was open for three hours
+180 (60 minutes in an hour x 3 hours)
Current total: 270
Total: 270 minutes
OR
Divide 270 by 60 minutes in an hour, which would be 4.5 hours.
Answer: 1 hour and 30
Step-by-step explanation:
First, you multiply 30 minutes x2 and get 60. 60 minutes is an hour so now you have an hour. Then you add 30 minutes to that and get 1 hour and 30 minutes. Then, you subtract 3 hours minus 1 hour, and 30 minutes and get 1 hour and 30 minutes.
plz help me plz plz plz plz plz
Answer:
38
Step-by-step explanation:
The area of a kite is equal to half the product of the diagonals
To find the area we must first find the measures of the diagonals
short diagonal = 2 + 2 = 4
longer diagonal = 8 + 11 = 19
We then calculate the area by multiplying the two diagonals together and then dividing that by 2
A = 19 * 4 = 76
76 / 2 = 38
Hence, the area of the kite is 38m²
38m².
Answer:
Solution given;
diagonal 1=8+11=19m
diagonal 2=2+2=4m
the area of a kite =½*diagonal 1*diagonal 2
=½*4*19=38m²
The area of kite is 38m².
When Mayerlin goes bowling, her scores are normally distributed with a mean of 175 and a standard deviation of 13. Using the empirical rule, what percentage of the games that Mayerlin bowls does she score between 162 and 188?
Answer:
68%
Step-by-step explanation:
The Empirical rule formula is given as:
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .
Where
μ is the population mean
σ is the population standard deviation.
Step 1
Find the number of standard deviations from the mean
μ - xσ and μ + xσ
μ = 175
σ = 13
For 162
175 - 13x = 162
175 - 162 = 13x
13 = 13x
x = 13/13
x = 1
For 188
175 + 13x = 188
13x = 188 - 175
13x = 13
x = 13/13
x = 1
Hence, the data falls with 1 standard deviation of the mean
Therefore, percentage of the games that Mayerlin bowls does she score between 162 and 188 is 68%
Answer:
The answer is 68%
Step-by-step explanation:
A toy company is packaging its toy to be shipped. Each small toy is placed inside a cube- shaped box with side lengths of 1/8 in. These smaller boxes are then placed into a larger box with dimensions of 12in. X 4 1/2in. X 3 1/2 in.
Answer:
1512
189 in³
Step-by-step explanation:
Here is the complete question
A toy company is packaging its toys to be shipped. Each small toy is placed inside a cube-shaped box with side lengths of 1/2 in. These smaller boxes are then placed into a larger box with dimensions of 12 in. × 4 1/2 in. × 3 1/2 in.
a. What is the greatest number of small toy boxes that can be packed into the larger box for shipping?
b. Use the number of small toy boxes that can be shipped in the larger box to help determine the volume of the shipping box
A. greatest number of small toy boxes that can be packed into the larger box for shipping = volume of larger box / volume of smaller box
volume of larger box = length x width x height = 12 in. × 4 1/2 in. × 3 1/2 in = 189 in³
volume of smaller box = volume of a cube = side length³ = [tex]\frac{1}{2}[/tex]³ = 1/8 in³
189 ÷[tex]\frac{1}{8}[/tex] = 189 x = 1512
b. 1/8 x 1512 = 189 in^3
w(x) = −3x− 4; Find w(7)
True or False?
When rainfall increases, the water level in the lake goes up. Rainfall is the independent variable in this situation. (4 points)
Answer:True
Step-by-step explanation: I did a quiz on it
Answer:
it is true am I right of this question
Here are the last questions from my previous post!
Answer:
1 - C (38 cm)
2 - A (13)
3 - C (4x + 44 = 180)
Step-by-step explanation:
Decide if each sentence uses assonance or consonance. Then, drag each answer to the correct box.
Answer:
Assonance, Assonance, Consonance, Assonance - Last box can be seen as consonance because of -ea repetition but there is a constant repetition of the vowel -e.
Step-by-step explanation:
Answer:
The foam rolls across the lonely ocean. : Consonance
I can't forget the letter that you sent last night: Consonance
In the hills, we stroll until nightfall, when the bells ring from the town hall. : Assonance
I went east, where the green beach trees lean against each other. : Assonance
Step-by-step explanation:
Hope this helps :D
Find the area and circumference of the circle.
B
4. Area =
5. Circumference
Answer:
Area: 200.96
Circumference: 50.24
Step-by-step explanation:
We know r (radius)=8
A=πr^2
A=π8^2
A=64π or 200.96
C=2πr
C=2π(8)
C=16π or 50.24
A triangular pyramid has lateral faces with bases of 8 meters and heights of 10
meters. The area of the base of the pyramid is 27.7 square meters.
What is the surface area of the pyramid?
The surface area of the pyramid is
square meters.
Answer:
147.7 m²
Step-by-step explanation:
Area of the triangular faces = 1/2 × base × height
A triangular pyramid has lateral faces with bases of 8 meters and heights of 10 meters.
Hence: 1/2 × 8 × 10 = 40 m²
A triangle has 3 faces, hence, area of the 3 faces = 3 × 40 m²
= 120m²
The area of the base of the pyramid is 27.7 square meters.
Hence, the surface area of the pyramid is calculated as:
Area of the 3 lateral faces of the pyramid + Base area
= 120m² + 27.7 m²
= 147.7 m²
The surface area of the pyramid is 147.7 square meters.
Differentiate 2x-4x^4
Answer:
2-16x^3
Step-by-step explanation:
Please help! Free 100 points because why not lol
Answer:
Hello there :)
to find your cordinates simply set everything according to 0 and solve the equation with -b +- square rooted by b ac over b (im sorry i forgot what this equation is called). using +, that is your x point, and solving for - that is your y point.
Step-by-step explanation:
Hope this helps you!
Have a terrific week :)
Answer: Thanks!!
Step-by-step explanation:
What is the quotient of 15,048 and 76
Answer:
If you mean 15,048 ÷ 76, the quotient is 198.
If you mean 76 ÷ 15,048, the answer is 0.00505050505. But I doubt that’s what you mean.
The quotient for the given problem is 198.
What is division?
Division is a simple operation in which a number is divided. The splitting of a large group into smaller groups such that every group will have an equal number of items.
By using division concept, we can find the quotient when the divisor is divided by the dividend.
The divisor is 15048
The dividend is 76
Division is performed by using the division operator ÷
⇒ [tex]15048[/tex] ÷ [tex]76[/tex]
⇒ [tex]198[/tex]
Hence the quotient for the given problem is 198.
Learn more about division here
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!!!!NEED HELP ASAP!!!! NO LINKS OR REPORT
Answer:
Step-by-step explanation:
Infinitely many solutions means that one side of the equals sign is exactly the same as the other side. We can achieve that easily by multiplying through the parenthesis and then combining like terms.
2(6x + 4) - 5x is 12x + 8 - 5x which simplifies down to 7x + 8. That is what goes on the right side of your equation.
The area of a circular plate is 625 pi square inches. If the radius of the circle is tripled, what is the area of the new circle?
A).1090 π in²
B).1270 π in²
C).6715 π in²
D).5625 π in²
Answer:
D.) 5625 pi inches squared
Step-by-step explanation:
square root of 625 = 25
25 x 3 = 75
A= pi r(squared)
A= 75squared pi
A= 5625 pi inches squared
Answer: D
Step-by-step explanation:
Events A and B are independent. Find the missing probability.
A.9/20
B.3/4
C.1/2
D.3/40
Answer:
B
Step-by-step explanation:
11. What is the volume of the composite solid? (Hint: The height of the cone is 42 ft.)
12. A cylindrical can of cat food has a diameter of 3.5 inches and a height of 1.25 inches. A second brand of
cat food is packaged in a cylindrical can with a radius of 1.2 inches and a height of 1.25 inches.
a) What is the volume of the first can of cat food? Show your work
b) What is the volume of the second brand of cat food? Show your work
c) What is the difference between the volumes of the cans?
Extra credit: Two cylinders have equal diameters. Are their volumes also equal? Is the same true for cones and
spheres? Explain your reasoning
Answer:
c
Step-by-step explanation:
If 40% of x + 20% of x + 1/10 = 75% of x, then find the value of x. Please give answers with steps
Answer:
x = 13/12
Step-by-step explanation:
explain on image
Gabrielle's age is three times Mikhail's age. The sum of their ages is 80. What is Mikhail's age?
Answer:
Mikhail is 20 years old
Step-by-step explanation:
80 = Mikhail + Gabrielle
Gabrielle is 60 years old
Mikhail is 20 years old
20 * 3 = 60
20 + 60 = 80
yo did i do this right, no links pls
Answer:
yea you did it right
Step-by-step explanation:
What are the first three terms of the sequence defined by the recursive function an = an-1-(an-2-4), when a5 =-2 and a6 = 0?
-14, 14,- 4
6, 10,8
-2 0,2
2, 8, 10
Answer:
6, 10 and 8
Step-by-step explanation:
Given the recursive function an = an-1-(an-2 - 4), when a5 =-2 and a6 = 0?
a6 = a5 - (a4 - 4)
0 = -2 - (14 - 4)
2 = - (a4 - 4)
-2 = a4 - 4
a4 = -2 + 4
a4 = 2
a5 = a4 - (a3 - 4)
-2 = 2 - (a3 - 4)
-2-2 = - (a3 - 4)
-4 = -(a3 - 4)
4 = a3 - 4
a3 = 4+4
a3 = 8
Also
a4 = a3 - (a2 - 4)
2 = 8 - (a2 - 4)
2-8 = - (a2 - 4)
-6 = -(a2 - 4)
6 = a2 - 4
a2 = 6+4
a2 = 10
a3 = a2 - (a1 - 4)
8 = 10 - (a1 - 4)
8-10 = - (a1 - 4)
-2 = -(a1 - 4)
2 = a1 - 4
a1 = 2+4
a1 = 6
Hence the first 3 terms are 6, 10 and 8
Answer:
C. 6, 10, 8
Step-by-step explanation:
i took the test
Can someone help me with this problem please thank youu how do you do it ?
Answer:
A) x = 6 y = 6√3
Step-by-step explanation:
30-60-90 Triangle rule states that the hypothesis is 2x, the short leg is x, and the long leg is x√3. So, the short leg is 12/2 = 6, and the long leg is 6√3.
Binomial Coefficients (30pts) 1. Write (a + b)^2 as a polynomial in standard form. Show work (FOIL/distributive property).
Answer:
[tex]a^2 + 2ab + b^2[/tex]
Step-by-step explanation:
Given
[tex](a + b)^2[/tex]
Required
Express as a standard polynomial
We have:
[tex](a + b)^2[/tex]
Rewrite as:
[tex](a + b)(a + b)[/tex]
Open bracket
[tex]a^2 + ab + ab + b^2[/tex]
Add like terms
[tex]a^2 + 2ab + b^2[/tex]
Which linear function has a y-intercept of -5?
2x+y=-10
x-y=-5
x-3y=15
-x+4y=20
Answer:
It could be =15 or =0
Step-by-step explanation:Multiplying each side of −3x+4y=20
by 2 gives −6x+8y=40
. Adding each side of −6x + 8y = 40 to the corresponding side of 6x+3y=15
gives 11y=55,ory=5
. Finally, substituting 5 for y in 6x+3y=15
gives 6x+3(5)=15,orx=0
.
Answer:
x-3y=15 has a y-intercept of -5
Step-by-step explanation:
A y-intercept occurs when x = 0. So, when x = 0, which function has a y-value of -5?
Plug in 0 for all the values of x and solve for y.
1. 2(0)+y=-10; y=-10
2. (0)-y=-5; y = 5
3. (0)-3y=15; y = -5
4. -(0)+4y=20; y= 5