Rewrite the function f(x)=2(x-2)^2+6 in the form f(x)=ax^2+bx+c.
Answer:
To write a polynomial in standard form, simplify and then arrange the terms in descending order.
f(x)=ax²+bx+c
Simplify each term.
f(x)=2x²−8x+8+6
Add 8 and 6.
f(x)=2x²−8x+14
Step-by-step explanation:
please help school is literally about to end
Answer:
192 is the answer
Step-by-step explanation:
Answer:
SA = 272 sq in
Step-by-step explanation:
SA = 2(8 x 2) + 2(8 x 12) + 2(2 x 12)
= 2(16) + 2(96) + 2(24)
= 32 + 192 + 48
= 272 sq in
Nolan plots the y-intercept of a line at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line
through the two points. Which equation represents Nolan's line?
O y = 2x + 1
O y = 2x +3
O y = ax + 2
O y = 3x + 5
Answer:
O y = 2x + 3
Step-by-step explanation:
what is quartile 1 and 3
Answer:
Q1 = 2
Q3 = 3
I think that's the answer
Hope this helps! (°◡°♡).:。
Answer:
Q1 is 2 Q2 is 3
Just cut the list of number into quarters
Philip deposited $50 in a savings account earning 10% interest, compounded annually.
To the nearest cent, how much will he have in 3 years?
Answer:
He will have $66.55 in 3 years.
Step-by-step explanation:
Given that,
Principal, P = $50
Rate of interest, R = 10%
We need to find the amount earned by him in 3 years. We know that, the final amount is given by :
[tex]A=P(1+\dfrac{r}{100})^T[/tex]
Put all the values,
[tex]A=50(1+\dfrac{10}{100})^3\\\\=50\times (\dfrac{11}{10})^3\\\\=\$66.55[/tex]
So, he will have $66.55 in 3 years.
-2,6,-18,54 find the 12th term
Answer:
354294
Step-by-step explanation:
-2,6,-18,54,-162,486,-1458,4374,-13122,39366,-118098,354294
multiply each number by -3
I need help finding the intercept , slope and equation please help!
Answer:
Step-by-step explanation:
if they are saying approximately then y = 3 for the y intercept, and
the slope, m , is 3/4 ( rise / run)
then the equation for this line is
y = [tex]\frac{3}{4}[/tex] * x + 3
y = 3x/4 + 3
how do you find the answer?5y+8=-6
Answer:
Step-by-step explanation:
5y+8=-6
-8
5y=-14/5
y=-2.8
Answer:
y = - 2.8
[tex]y=-2\frac{4}{5}[/tex]
Step-by-step explanation:
5y + 8 = - 6
5y + 8 - 8 = - 6 - 8
5y = - 14
5y ÷ 5 = - 14 ÷ 5
y = - 2.8
Unit 3: Parallel & Perpendicular Lines Homework 5: Linear Equations Slope-Intercept & Standard Form
Directions: Determine if the equations are parallel, perpendicular, or neither.
11. y = -3x + 6 and y = 1/3 x -8
12. y = 5/4 x + 1 and y = 5/4 x - 7
13. 3x + 2y = 6 and y = -3/2 x + 5
14. 3y = 4x + 15 and 9x + 12y = 12
15. 10x - 2y = 16 and x + 5y = -20
16. 5x + 3y = 3 and 3x + 5y = -25
17. -9y = -3x + 18 and 2x -6y = 30
18. x-y = 5 and x + y = -10
11. y = -3x + 6 and y = 1/3 x -8 (perpendicular)
12. y = 5/4 x + 1 and y = 5/4 x - 7 (parallel)
13. 3x + 2y = 6 and y = -3/2 x + 5 (parallel)
14. 3y = 4x + 15 and 9x + 12y = 12 (perpendicular)
15. 10x - 2y = 16 and x + 5y = -20 (perpendicular)
For two equations to be parallel, the slope has to be the same
For two equations to be perpendicular, the product of their slopes must be equal to -1
The equation of a line is the slope-intercept form is:
y = mx + c
where m is the slope and c is the intercept
11) y = -3x + 6 and y = 1/3 x -8
The equations are perpendicular because -3 x 1/3 = -1
12) y = 5/4 x + 1 and y = 5/4 x - 7
The two lines are parallel because they both have a slope of 5/4
13) 3x + 2y = 6 and y = -3/2 x + 5
The equation 3x + 2y = 6 can be re-written as y = -3/2 x + 3
Therefore, the two equations are parallel since they have the same slope of -3/2
14) 3y = 4x + 15 and 9x + 12y = 12
3y = 4x + 15 can be re-written as y = 4/3 x + 5
9x + 12y = 12 can be re-written as y = -3/4 x + 1
The two lines are perpendicular because -3/4 x 4/3 = -1
15) 10x - 2y = 16 and x + 5y = -20
10x - 2y = 16 can be re-written as y = 5x - 8
x + 5y = -20 can be re-written as y = -1/5 x - 4
Both equations are perpendicular since -1/5 x 5 = -1
Learn more here: https://brainly.com/question/11482954
Answer:
Step-by-step explanation:
I-Ready Surface area of composed figures what is the surface area of this design
Answer: 512
Step-by-step explanation:
Hello, I hope the answer is correct if not let me know and i will work step by step on it with you. Your welcome and Happy to help.
The surface area of the design is 384 inches².
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
The given design is a cube.
All the sides are of the length 8 inches.
The formula to find the surface area of a cube is,
Surface area = 6a², where "a" is the length of a side of the cube.
Given, a = 8 inches
Surface area of the design = 6 × 8²
= 6 × 64
= 384 inches²
Hence the given design has the surface area of 384 inches².
Learn more about Surface Area here :
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each pack of sugar free gum at a store cost $0.89 including tax if Evan pays $10.00 and receives $0.21 in change how many packs of gum did he buy
Answer:
12
Step-by-step explanation:
if f (x)=x^2+1 and g(x) =x-4 which value is equivalent to f x g
Answer:
A value of [tex]x^3 - 4x^2 + x - 4[/tex] is equivalent to [tex]f \times g[/tex]
Step-by-step explanation:
We are given the following functions:
[tex]f(x) = x^2 + 1[/tex]
[tex]g(x) = x - 4[/tex]
Which value is equivalent to f x g?
We multiply these functions, applying the distributive property. So
[tex]f \times g = (x^2+1)(x-4) = x^3 - 4x^2 + x - 4[/tex]
A value of [tex]x^3 - 4x^2 + x - 4[/tex] is equivalent to [tex]f \times g[/tex]
Can someone help me please
Answer:
It's 2/15
Step-by-step explanation:
What is the median of this list of grades: 78,55,98,86,92,70,60 ?
Answer:
the median of this list is 78
3353 8. A survey showed that 1/3 of the students in the class liked blue 1/4 of the remainder liked red. The remaining 24 students liked yellow. How many students were in the class?
Answer: there are 48 students in the class
Step-by-step explanation:
let x = the total number of students in the class
1 - 1/3 = 2/3
1/4 * 2/3 = 2/12 = 1/6
1/3x + 1/6x + 24 = x
2/6x + 1/6x + 24 = x
3/6x + 24 = x
1/2x + 24 = x
24 = x - 1/2x
24 = 1/2x
24 * 2 = x
x = 48
there are 48 students in the class
IVE BEEN ASKING FOR AN HOUR PLEASE HELP!! PLEASE ANYONE!! solve for x
Answer:
[tex]\sqrt{3}[/tex] sqrt(3)
Step-by-step explanation:
Pythagroean theorem shows that x^2+sqrt(2)^2=sqrt(5)^2
In other words,
x^2+2=5
x^2=3
x=sqrt(3)
An equation is modeled. What value of x makes the equation true? Explain.
A) x = 7
B) x = -1
C) x = 1
D) x = -5
Answer:
B: x=-1
Step-by-step explanation:
5x+6=1
5x+6-6=1-6
simplify
divide by 5 on both sides
x=-1
plz plz plz plz help me plz it is due in 1 hour and no links plz
Answer:
It is:
B.Divide the area of the triangle by the base and multiply the result by 2.
How many total possible outcomes are there on a standard 6 sided die?
Answer:
6 (may change if multiple number cubes are used; 2 dice = 6^2, 3=6^3, so on)
ANSWERRRRRRRRRRRRRRRRRRRR PLZZZZZZZZZZZZZZzz
Answer:
-1/3
Step-by-step explanation:
Find two points on the line (0,2) and (3,1)
Using the slope formula
m = (y2-y1)/(x2-x1)
= (1-2)/(3-0)
= -1/3
Answer:
A
Step-by-step explanation:
1) take two points of the line
A(0,2) ; B(3,1)
2) use this formula for find the slope
(y2-y1)/(x2-x1)
(1-2)/(3-0)
slope = -1/3
3x + 5y = 7;( -1 , 2) write an eqautian thats perpidicaluar to the given line that passes through the given point
Answer:
5x -3y + 11 = 0 .
Step-by-step explanation:
Firstly let's find the slope of the line by converting the equation into slope intercept form as ,
=> 3x +5y = 7
=> 5y = 7 - 3x
=> y = (7-3x)/5
=> y = -3/5x + 7/5
On comparing this equation to the slope intercept form y = mx + c ,=> m = -⅗
Now the slope of the line perpendicular to this line will be , say m'
=> m' =- 1/m
=> m' = -1/-⅗
=> m = 5/3
Now the line passes through (-1,2 ) . so on using point slope form , we get ,=> ( x - x1) m = ( y - y1)
=> ( x - (-1)) × 5/3 = y - 2
=> ( x +1)×5 = 3( y -2)
=> 5x + 5 = 3y -6
=> 5x - 3y +5 +6=0
=> 5x -3y +11 = 0
• Hence the equation of line perpendicular to the given line is 5x -3y + 11 = 0 .The density of a solid bar is 25 pounds per cubic foot. If the bar has a volume of 5.2 cubic feet, what is the weight of the bar?
NO LINKS PLSSSS
Answer:
the weight of the bar is 130 pounds
Answer: realsies
Step-by-step explanation: w manz
The U.S. federal government conducts a survey of high school seniors concerning their plans for future education and employment. One question asks whether they are planning to attend a four-year college or university in the following year. Fifty percent answer yes to this question; that fifty percent is a: Question 2 options: parameter statistic variable data
Answer:
statistic
Step-by-step explanation:
Rice weighing 33/4 pounds was divided equally and placed in 4 containers. How many ounces of rice were in each?
Answer:
The answer is 15 ounces
Step-by-step explanation:
33/4 ÷ 4 pounds.
(4 × 3 + 3)/4 ÷ 4 pounds.
15/4 ÷ 4 pounds.
15/4 × 1/4 pounds.
15/16 pounds.
Now we know that, 1 pound = 16 ounces.
So, 15/16 pounds = 15/16 × 16 ounces = 15 ounces.
Thus, The answer is 15 ounces
I can believe my teachers think i can do this
Answer:
Is that actually your hw-?
Step-by-step explanation:
Answer:
Well dang
Step-by-step explanation:
Find the 14th term of the arithmetic sequence x-4, 7x-9, 13x-14, ...
Answer:
14x-9
Step-by-step explanation:
17 students said they enjoy summer the most.
4 of the girls said they enjoy winter.
The ratio between boys and girls is 8 : 11.
The probability of picking a student at random who enjoys Summer is 38
Twice as many of the girls chose summer over spring.
7 boys chose summer.
Autumn was chosen by 3 more boys than girls.
The probability of picking a boy at random who chose spring is 18.75%
Answer:
Step-by-step explanation:
17 students chose summer, 7 boys
Girls that chose summer= 17-7=10
Twice Girls chose summer over spring= 10÷2 =5
5 Girls chose spring, 4 Girls enjoy winter
Is this correct? the question is asking if the triangle would have a right, acute, or obtuse angle.
Answer:
Acute
Step-by-step explanation:
All triangles have to have a acute or it would be to big
Answer:
yes it is because its a triangle and its acute
1+2+3+4+5+6+7+8+9+10=
im bor*ed...pls ch*at with me???
The relative values of the mean and median for the original data set are typical of data that have a significant skew to the right. What are the relative values of the mean and median for the original data set
Answer: Your question has some missing data attached below is the missing data
Answer : Mean value is Greater
Step-by-step explanation:
The relative value of the mean for original data set is greater
Relative value of median for original data set is lesser
This is simply because the The distribution is generally skewed to the right ( Right skewed )