Answer:
f(x) = 2x² + 12x + 12; y-intercept is 12
Step-by-step explanation:
f(x) = 2(x + 3)² - 6
This equation is in point slope form. We want to put it in standard form.
According to PEMDAS (parentheses/exponents | multiplication/division | addition/ subtraction), we should solve the exponent first. (the expression in the parentheses is as simplified as possible).
(x + 3)² → (x +3)(x + 3)
To solve this, we need to FOIL (first | outer | inner | last)
F: x²
O: 3x
I: 3x
L: 9
Combine these terms.
x² + 3x + 3x + 9
x² + 6x + 9
Plug this expression back into your original equation.
f(x) = 2(x + 3)² – 6 → f(x) = 2(x² + 6x + 9) - 6
Next, we will distribute the 2 across the parentheses.
f(x) = 2x² + 12x + 18 - 6
Then, combine like terms. (18 & 6)
f(x) = 2x² + 12x + 12
This is your equation in standard form.
Now we want to find the y-intercept. The y-intercept is the y-value when x = 0. Therefore, we need to plug in x = 0 to the equation.
f(x) = 2x² + 12x + 12
f(x) = 2(0)² + 12(0) + 12
Follow PEMDAS again.
[exponents] → f(x) = 2(0) + 12(0) + 12
[multiplication] → f(x) = 0 + 0 + 12
[addition] → f(x) = 12
Your y-intercept is 12.
Hope this helps!
how to solve this one
5. A rectangle with length 8 cm and width 5 cm is dilated by a scale factor of 3. What are the perimeter and area of the image?
Answer:
The area is 120
The perimeter is 78
Step-by-step explanation:
To find area you have to multiply length x width.
(8x5)
To find perimeter you have to find the length of all the sides and add them
together. To find perimeter of a shape you do length x2 + width x2
(8x2 + 5x2)
Then you need to find the scale factor.
A scale factor of 3 is 3x the size of the original shape
Remember to press Thanks
look at the graph of a line and write its equation
Only hash channel catfish typically was about 0.06 g during the first six weeks of life at weight increase about 10% each day right a exponential model for the weight how much will the catfish gain weight after six weeks
Answer:
3.225 gram
Step-by-step explanation:
Given that :
Initial weight = 0.06g
Rate of increase, r = 10% = 0.1 per day
Weight gain after 6 weeks
For an exponential model. f(x)
f(x) = a(1 + r)^x
Where ; a = initial amount ; r = growth rate ; x = period
Our model becomes :
f(x) : 0.06(1 + 0.1)^x
f(x) = 0.06(1.1)^x
Number of days in 6 weeks = 6*7 = 42 = x
f(42) : 0.06(1.1)^42
= 3.285 gram
Hence, weight gain after 6 weeks :
(3.285 - 0.06) g = 3.225 gram
factor out the GCF from the terms of the polynomial 2x^3-10x^2+21
Answer:
The greatest common factor is one
Step-by-step explanation:
anyone know the answer?
Answer:
C. 3x + 5
Step-by-step explanation:
Go to m a t h w a y . c o m (with no spaces, wont let me post without) trust me, this will save u in math
The slope-intercept form of a linear equation
is y = mx + b, where x and y are coordinates of an
ordered pair, m is the slope of the line, and b is where
the line crosses the y-axis.
Which is an equivalent equation solved for the slope,
m?
m= yx +b
m= b
x
O m=-b
O m=y-
Answer:
The second option m=y-b/x
Step-by-step explanation:
Hope this helps :)
Answer:
B
Step-by-step explanation:
I have super human powers that tell me the correct answer
Find the Nth term of the sequence 5, 9, 13, 17, 21Required to answer. Single choice.
3(s +1) = 33
What is the value of s?
Answer: the value would be 3
Step-by-step explanation:
I did the worksheet for math!
Answer: s = 10
Step-by-step explanation:
3(s + 1) = 33
I 3 x s = 3s I 3 x 1 = 3 I
3s + 3 = 33
- 3 - 3
__________
3s = 30
/3 /3
s = 10
Circle O has a radius of 5 centimeters and central angle AOB with a measure of 60°. Describe in complete sentences how to find the length, in terms of a radian measure, of AB.
Answer:
We can use the formula for finding arc length given ccx central angle and radius.(insert formula below) We then substitute 5 in for r and and 60 for x. We multiply 2 pi times 5 which gives us 10. We then reduce the fraction of 60/360 to 1/6. We multiply 10 pi by 1/6 and that gives us
10 pi/6 or 5 pi/3
Step-by-step explanation:
We can use the formula
[tex]2\pi \times r( \frac{x}{360} )[/tex]
to find the arc length where r is the radius.
and x is the arc measure.
Plug it in for the numbers
[tex]2\pi \times 5( \frac{60}{360} )[/tex]
Multiply 2 pi times 5=10 pi
[tex]10\pi( \frac{60}{360} )[/tex]
Simplify 60/360 to 1/6
[tex]10\pi \times \frac{1}{6} = \frac{10\pi}{6} [/tex]
Reduce it to
[tex] \frac{5\pi}{3} [/tex]
Anyone know this answer? Will give brainliest if correct
Answer:
use photomath
Step-by-step explanation:
If triangle DEF is dilated by a scale factor of 1/2 with center of dilation at the origin
(0,0), what is the x-coordinate of E'?
Please help 20 points
Answer:
(4,2)
Step-by-step explanation:
I am not able to see your screen well but these are the points that I saw in the beginning for E. 8,4. Your x value is either left or right and your y value is up and down. I saw 8 units right and 4 u it's up. Now your scale factor is 1/2. Remember if the scale factor is less than one the figure reduces. Our rule for dilations is (x,y) → (kx,ky). The scale factor is represented by K. Since your scale factor is 1/2 we know our triangle will reduce. Let's plug 1/2 in our x and y valued.
So E is (8,4). 8*1/2 is 4 and 4* 1/2 is 2. Are new points are E' (4,2).
The mean average of 4 numbers is 88 what is the fourth number if three of the numbers are 80 95 and 85?
Answer:the fourth number is =97
Step-by-step explanation:
Mean = total number of the given numbers( x1 +x2+ x3....) / numbers given
Let the fourth number be x
given that the mean of 4 numbers = 88 and only 3 numbers are given
such that
Mean = total number of the given numbers( x1 +x2+ x3....) / numbers given becomes
88= (80 +90 + 85 + x ) / 4
88 x 4 =80 +90 + 85 + x
352=255+x
x= 352-255
x=97
you go to the park on a windy day to fly a kite. You have released 40 ft of string. The strings make it angle of 36 degrees with the ground. How high is the kite in the air
Last week, the price of oranges at the farmer’s market was $1.75 per pound. This week, the price has decreased by 20%. What is the price of oranges this week?
Has anyone done this
1. Use the Notes Expand Linear Expression (aka Distributive Property) pg. 237 ex. 4-6 which we covered on the Edpuzzle to complete the assignment.
Assignment pg. 241 9-14
2. Take a clear/readable picture and submit in Schoology
Posted Thu Jan 14, 2021 at 10:20 am
(14 plus 42)divided by 7plus4 to the 2power
Answer:
Given info in numersical form:
(14+42)÷(7+4)²
= 56÷11²
= 56÷(11×11)
= 56÷121
= 0.46
A car was reduced in price by 13% to £17400 what was original price
During a normal sleep, a bears heart beats about 50 times a minute. In its deepest state of hibernation, a bears heart may beat 55 times in 5 minutes. During deep hibernation, how many times would the bear heart beat in 45 minutes
Answer:
495
Step-by-step explanation:
First you would do 45/5=9
Then do 9*55=495
YW!!!!
A tube of toothpaste is marked $3.92 for 8 ounces. What is the price per ounce?
Answer:
$0.49
Step-by-step explanation:
If the tube is 8 ounces and is priced at $3.92, then one ounce would be $3.92/8 =
$0.49
Write the equation of a line (y=mx+b ) that has the following characteristics:
Line passes through (2,− 6) and (3,− 3)
Answer:
y = 3x - 12
Step-by-step explanation:
slope:
(-3 - (-6)) / (3 - 2)
3/1
= 3
y int = 12
Which of these strategies would eliminate a variable in system of equations?
2x+3y=-5
2x-3y=10
A.add the equations.
B.subtract the bottom equation from the bottom equation.
C.multiply the top equation by 2,then add the equations.
Answer: (b) Multiply the top equation by 3, multiply the bottom equation by 2, then add the equations.
Step-by-step explanation: the strat would eliminate a variable in this system
Lowest common denominator of 3 5/7 and 4 4/5
Answer: look at the screenshot
Step-by-step explanation:
it has everything you need
b.
X = 4y + 3
2x - 4y = -10
Answer:
[tex]x = - 13 \: \: and \: \: y = - 4[/tex]
Step-by-step explanation:
[tex]x = 4y + 3......(1) \\ 2x - 4y = - 10.....(2) \\ \\ \\ x - 4y = 3......(1) \\ 2x - 4y = - 10...(2) \\ - x = 13 \\ x = - 13 \\ from(1) \\ x - 4y = 3 \\ - 13 - 4y = 3 \\ - 4y = 16 \\ y = - 4 \\ [/tex]
What form is this written in?
f(x)=(x-3)²+72
standard
intercept
vertex
slope
that should be vertex form
Answer:
C. vertexStep-by-step explanation:
Given function
f(x)=(x-3)²+72This is a vertex form of the quadratic function
Correct option is C
Graph the numbers that are solutions to x+7>9 and 8x≤64.
Answer:
2 to 8 and 8 to -2
Step-by-step explanation:
Solution to these set of inequalities is : 2 < x < 8
Important Information
x + 7 > 9
x > 9 - 7
x > 2
8x < 16
x < 16/2
x < 8
So, numbers that satisfy the conditions that 2 < x < 8 are solutions to this set of inequalities.
To learn about inequalities' equations solving, refer https://brainly.com/question/11897796?referrer=searchResults
how many times bigger is 2.7 than 0.03
If D varies directly with t and D is 105 when t is 3, find D when t is 8.
Answer:
280
Step-by-step explanation:
answer is 280
Answer:
answer is 280
Step-by-step explanation:
d=xt
105=x3
35=x
d=35*8
d=280
Sum1 plsssss help plssss
Answer:
The answer is 2/3 divided by 2/9= 3
Step-by-step explanation:
need help...............
Answer:
f^3 + 5f^2 +12f +8
Step-by-step explanation: