Answer:
y = 6(x + 8)² + 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Using the method of completing the square.
y = 6x² + 96x + 388
The coefficient of the x² term must be 1, so
factor out 6 from 6x² + 96x
y = 6(x² + 16x ) + 388
To complete the square
add/subtract (half the coefficient of the x- term)² to x² + 16x
y = 6(x² + 2(8)x + 64 - 64) + 388
= 6(x + 8)² - 384 + 388
y = 6(x + 8)² + 4 ← in vertex form
I need help with this please. :)
Answer:
64x³+4
-------------
2x-1
Step-by-step explanation:
I hope this helps. :)
Jeremy wants to determine the number of solutions for the equation below without actually solving the equation. Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3 Which method should Jeremy use?
Options :
Determine whether the equation has the form a = a, and if it does, the equation has infinitely many solutions. Determine whether the equation has the form a = b, and if it does, the equation has no solution. Determine whether the equation has the form x = a, and if it does, the equation has one solution. Determine whether the equation has the form x = 0, and if it does, the equation has no solution.
Answer:
Determine whether the equation has the form x = a
Step-by-step explanation:
Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3
-3(x + 1) + 3x = - 3(x - 1) + 3
If the equation has the form x =a, where a is the unknown and a is the value of the unknown 'x'
Expanding :
-3x - 3 + 3x = - 3x + 3 + 3
-3x + 3x -3 = - 3x + 6
-3 = - 3x + 6
-3 - 6 = - 3x
-9 = - 3x
x = 9/3
x = 3
Billy bought 2 sweatshirts and 3 t-shirts. His friend Jordan bout 3 sweatshirts and 3 t-shirts. Billy's bill was $35 and Jordan's bill was $45. What is the price of one t-shirt and what is the price of one sweatshirt?
x-15/5=4
what is x in this equation?
Answer: is 7 an answer choice ?
Step-by-step explanation:
Answer:
x=7
Step-by-step explanation:
x-15/5=4
x-3=4
x=4+3
x=7
Paul opens a savings account with $350. He saves $150 per month. Assume that he does not withdraw money or make any additional deposits
a. write a linear model that represents the total amount of money Paul deposits in his account after m months
b after how many months will Paul have more than 2,000?
Answer:
below explained
Step-by-step explanation:
the measure of one interior angle of a regular 90-sided polygon.
9514 1404 393
Answer:
176°
Step-by-step explanation:
The total of exterior angles is 360°, so one of those for the regular polygon will be 360°/90 = 4°. The adjacent interior angle is the supplement of this.
The interior angles measure 180° -4° = 176°.
Find the product: 42.6 × 15.
Answer:
The answer is 639.
Step-by-step explanation:
42.6 × 15
639
Answer: 639
Step-by-step explanation:
42.6 x 15 =639
What is f 2/9 + 9 1/9?
Answer:
28/3 or 9.3333
Step-by-step explanation:
2/9 + 82/9= 28/3
Byron and Cari are best friends. Byron wants to give a collage photo frame to Cari on her birthday. He measures the photo frame at 12 inches by 18 inches. He wants to cover the photo frame with a golden cloth at a cost of $7 per square inch. How much will it cost for Byron to cover his photo frame?
Answer:
The answer is $1512.
Step-by-step explanation:
First, multiply 12 by 18, you get 216. Then multiply that by 7, you get 1512. Bryon will need $1512 to cover his photo frame.
Jada and Noah wanted to find the total volume of a cube and a rectangular prism. They know that the prisms volume is 20 cubic units, and they know that the cube has side lengths of 10 units. Jada says the total volume is 27,000 cubic units. Noah says it is 1,020 cubic units. Do you agree with either of them?
Answer:
Noah answer is the correct answer
Step-by-step explanation:
The solution to the above question is given as:
Total Volume = Volume of the prism + Volume of the cube
Volume of the prism = 20 cubic units
Volume of a cube = (Side length)³
= 10³ = 1000 cubic units
Hence: The total volume =
20 cubic units + 1000 cubic units
= 1,020 cubic units
Therefore, I agree with Noah's answer.
Did I get it correct?
Answer:
No they are proprotional.
Step-by-step explanation:
the tables eqaution is
y=3x+1
Answer:
Yes. I assume yes they are proportional because you can see a pattern in the y and x's.
What is the value of x in the figure shown below
Answer:
x = 34 degrees
Step-by-step explanation:
if this is a parallelogram then Δ ACB ≅ Δ DCB
which means that ∠A = ∠D
Find the x and y intercept of the line. x = 2 need in 10-15 minutes PLEASE
Answer:
x-intercept: (2,0)
y-intercept: This line doesn't cross the y-axis.
b) Add the following equation:
x/3+4x/3
Answer:
5x/3
Step-by-step explanation:
pls help U WILL BE BRAINLISTED
Answer:
C.)
Step-by-step explanation:
You need at least 6 employees to generate 7,300 dollars in revenue because 7300-5500=1800 and 1800/300=6. Hope this helps
Gail has $5,500 that she wants to put in a new savings account. She is
considering two banks that are very similar. One difference she notices
are the interest rates:
• Neighborhood Bank - 0.65% interest, compounded weekly
Beautiful Day Bank - 0.65% interest, compounded daily
.
Based on interest, which bank would you suggest Gail pick if she plans to
have her money in the account for 15 years?
Answer: Neighborhood Bank - 0.65% interest, compounded weekly
Step-by-step explanation:
The bank she would suggest Gail pick if she plans to have her money in the account for 15 years is Neighborhood Bank - 0.65% interest, compounded weekly.
How to find the compound interest?If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:
[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]
Given that Gail has $5,500 that she wants to put in a new savings account.
Neighborhood Bank - 0.65% interest, compounded weekly
Beautiful Day Bank - 0.65% interest, compounded daily
Thus, $5,500 x 0.65% = $35.75
$35.75 a day times 360 days = $12870
$12870 times 20 = $257,400.
$257,400 times 20 = $514800 (16.2mil)
Hence, The bank she would suggest Gail pick if she plans to have her money in the account for 15 years is Neighborhood Bank - 0.65% interest, compounded weekly.
Learn more about compound interest here:
https://brainly.com/question/1329401
#SPJ2
4 3/8 ÷ 1 3/8 = answer asap
Answer: 35/11 or 3 2/11
Step-by-step explanation:
[tex]4\frac{3}{8} /1\frac{3}{8}\\[/tex]
[tex]\frac{35}{8}/\frac{11}{8}\\[/tex]
[tex]\frac{35}{8} * \frac{8}{11}\\[/tex]
[tex]\frac{35}{11} =3\frac{2}{11}[/tex]
Answer:
[tex]4 \frac{3}{8} \div 1 \frac{3}{8} = \frac{35}{8} \div \frac{11}{8} = \frac{35}{8} \times \frac{8}{11} \\ = \frac{35}{11}= \boxed{3 \frac{2}{11}} [/tex]
please help, can't understand.
Step-by-step explanation:
Angle ACO = 140° - x. (Sum of angles in a triangle is 180°)
Now draw the line OD. The triangles ODC and OBC are congruent via the SSS congruence property. (OD and OB are both the radius of semicircle, common side OC, and side CD = CB is given)
Hence Angle BCO = Angle ACO = 140° - x.
Since triangle OBC is an isosceles triangle with OC = OB, this means that Angle CBO is also 140° - x.
By Exterior Angle theorem,
we have Angle AOC = Angles BCO + CBO
=> x = (140° - x) + (140° - x)
=> 3x = 280°
=> x = 280°/3. (B)
Add (−x + 4) + (3x + 2). I WILL MARK BRAINLIST!
Answer:
2x+6
Step-by-step explanation:
(-x+4)+(3x+2) remove ()
-1x+4+3x+2 combine like terms
2x+6
A triangle with area 50 cm^2 has side lengths 10cm and 22cm. What is the magnitude of the included angle?
Answer:
can we go to bed first
Step-by-step explanation:
then i will check your speed
Answer:
27°
Step-by-step explanation:
A = ab sinC / 2
50 = 10 * 22 * SinC / 2
sin C = (50 * 2) / (10 * 22) = 100 / 220 = 0.455
C = 27°
PLZZ HELP FOR BRAINLIEST
What is the y-intercept of the graph?
Answer:
-5
Step-by-step explanation:
Find the 64th term of the arithmetic sequence 33, 25, 17, 9?
Answer: -467
I sure but not so sure but hoped it helped
Step-by-step explanation:
It’s decrease by 8 so do the formula
an= a + d(n−1).
4.
Which two steps should be used first in solving the system of equations by substitution?
A:Substitute 9 for y in the first equation and then solve the other equation for x.
B:Solve the second equation for y and then substitute this value into the first equation.
C:Subtract the terms in the second equation from the first equation and then solve for y
D:Multiply the first equation by 4 and the second equation by 2.
Answer:
B because that is how you do substitution and all of the other ones do not make sense
What is the equation
Trevor measured the town library and made a scale drawing. In real life, the parking lot is 75 meters long. It is 135 centimeters long in the drawing. What scale did Trevor use? 9 centimeters : meters
Answer: [tex]9\ cm\equiv 5\ m[/tex]
Step-by-step explanation:
Given
The actual length of the parking lot is 75 m
length in the drawing is 135 cm
Here, 75 m is equivalent to 135 cm
Using unitary method
[tex]75\ m\equiv 135\ cm[/tex]
[tex]15\ m\equiv 27\ cm[/tex]
[tex]9\ cm\equiv \frac{15}{3}=5\ \text{m}[/tex]
Is RS perpendicular to DF? Select Yes or No for each statement. R (6, −2), S (−1, 8), D (−1, 11), and F (11 ,4) R (1, 3), S (4,7), D (3, 9), and F (15, 0) R (−5, −5), S (0, 2), D (8, 3), and F (1, 8)
I'll do the first one to get you started.
Find the slope of the line between R (6,-2) and S (-1,8) to get
m = (y2-y1)/(x2-x1)
m = (8-(-2))/(-1-6)
m = (8+2)/(-1-6)
m = 10/(-7)
m = -10/7
The slope of line RS is -10/7
Next, we find the slope of line DF
m = (y2 - y1)/(x2 - x1)
m = (4-11)/(11-(-1))
m = (4-11)/(11+1)
m = -7/12
From here, we multiply the two slope values
(slope of RS)*(slope of DF) = (-10/7)*(-7/12)
(slope of RS)*(slope of DF) = (-10*(-7))/(7*12)
(slope of RS)*(slope of DF) = 10/12
(slope of RS)*(slope of DF) = 5/6
Because the result is not -1, this means we do not have perpendicular lines here. Any pair of perpendicular lines always has their slopes multiply to -1. This is assuming neither line is vertical.
I'll let you do the two other ones. Let me know what you get so I can check your work.
Evaluate y=5x+7, for x=3.
A carousel with a 60-foot diameter makes 3 revolutions per minute. (A) find the angular speed of the carousel in radians per minute. (B) find the linear speed (in feet per minute) of the platform rim of the carousel. What's are the answers?
Answer:
[tex]V=376.9911184feet per minute[/tex]
Step-by-step explanation:
From the question we are told that
60-foot diameter
3 revolutions per minute
a)Generally angular speed can mathematically be given is given as
[tex]W=2\pi f[/tex]
[tex]W=2*\pi*3[/tex]
[tex]W=6*\pi[/tex]
[tex]W=18.84955592[/tex]
b)Generally linear speed is mathematically given as
[tex]V=\omega r[/tex]
[tex]V=6\pi *30[/tex]
[tex]V=120*\pi[/tex]
[tex]V=376.9911184feet per minute[/tex]
I'm taking a test and it's really important that I pass it because I'm already failing the class. Please help me I have no idea how to do it. The test has a time limit, everything has to be submitted by 12:25 at the latest. Please show the work if you can.
Simplify the expressions
1. (1+2i)(5-5i)
2. (1+2i)-(-2-2i)
3. (1+2i)+(2-i)
4. (6i)(-5i)
Answer:
1. 15+5i
2. 3+4i
3. 3+i
4. 30
Step-by-step explanation:
i will breann list yuo
Answer:
D. 4/9 and 0.4 repeated
Step-by-step explanation:
4000/9 is .4 repeated and the 4 in the remainder which would end up as 4/9