Answer:
His balance is $3778.28
If k(x) = x2 and p(x) = k(x) + n, what is the value of n?
Answer: Value of n is -6
Step-by-step explanation:
If the function f(x) is translated k units up, then its image is g(x) = f(x) + k
If the function f(x) is translated k units down, then its image is g(x) = f(x) - k
The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex
The value of n is 1 when the expression k(x) = x² and p(x) = k(x) + n.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can start by substituting the function k(x) into the expression for p(x):
p(x) = k(x) + n
p(x) = x^2 + n
We don't have enough information to determine the value of n, but we can set up an equation using some other given information. If we know that p(2) = 5, we can substitute x = 2 and solve for n:
p(2) = 2² + n = 4 + n = 5
n = 5 - 4
n = 1
Therefore,
The value of n is 1 when the expression k(x) = x² and p(x) = k(x) + n.
Learn more about expressions here:
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a square was altered so that one side is increased by 9 inches and the other side is decreased by 2 inches. the area of the resulting rectangle is 60 square inches. What was the are f the original square.
Answer:
36 square inches.
Step-by-step explanation:
Since the original figure was a square, all four side lengths are equivalent. The area for the square will be:
[tex]A=s^2[/tex]
Where s is the length of one side.
One side is increased by nine inches and the other side was decreased by two inches. The area of the resulting rectangle is 60 square inches.
So, one of the new sides is (s + 9).
And the other is (s - 2).
The area with these dimensions is 60. Thus:
[tex]60=(s-2)(s+9)[/tex]
Solve for s. Distribute:
[tex]60=s^2+7s-18[/tex]
Isolate the variables:
[tex]s^2+7s-78=0[/tex]
Factor:
[tex](s+13)(s-6)=0[/tex]
Zero Product Property:
[tex]s+13=0\text{ or } s-6=0[/tex]
Solve for each case:
[tex]s=-13\text{ or } s=6[/tex]
A side length cannot be negative. So, our only solution is:
[tex]s=6\text{ inches}[/tex]
Since each side of the square measures six inches, the area of the original square will be 36 square inches.
A can in the shape of a cylinder has a diameter of 6 centimeters and a height of
10 centimeters. Which measurement is closest to the total surface area of the can in
square centimeters?
F 603.19 cm?
G 245.04 cm?
H 376.99 cm?
188.50 cm?
Answer:
I don't know the answer please
PLEASE HELP WILL GIVE BRAIN Which could be the function of the following graph?
f(x) = (x + 5)^3(x + 1)^2(x - 2)^2 f(x)=(x+5)3(x+1)2(x−2)2
f(x) = (x + 5)^2(x + 1)(x - 2)^3 f(x)=(x+5)2(x+1)(x−2)3
f(x) = (x + 5)^3(x + 1)^2(x - 2)^2(x - 5) f(x)=(x+5)3(x+1)2(x−2)2(x−5)
f(x) = (x + 5)(x + 1)^3(x - 2)^2
Answer:
Close options are B and D but no matching functionStep-by-step explanation:
The graphed function has:
Even degree because overall U-shapedThree x-intercepts (-5, -1, 2) There is one y-intercept (-5)The answer options:
f(x) = (x + 5)^3(x + 1)^2(x - 2)^2
Has degree of (3 + 2 + 2) = 7 - incorrectf(x) = (x + 5)^2(x + 1)(x - 2)^3
Has degree of (2 + 1 + 3) = 6 - correctx- intercepts are (-5, -1, 2) - correcty- intercept is (-200) - incorrectf(x) = (x + 5)^3(x + 1)^2(x - 2)^2(x - 5)
Has degree of (3 + 2 + 2 + 1) = 8 - correctx- intercepts are (-5, -1, 2, 5) - incorrectf(x) = (x + 5)(x + 1)^3(x - 2)^2
Has degree of (1 + 3 + 2) = 6 - correctx- intercepts are (-5, -1, 2) - correcty- intercept is (24) - incorrectAnswer:
C
Step-by-step explanation:
Find the area of the shaded region. Round your answer to the nearest tenth if needed.
I need help ASAP !!!!!!!!!!
Answer:
the first one
Step-by-step explanation:
-.8x + 4.8y + 16
hope this helps
Pls answer this question for ill give brainliest
Quadrilateral ABCD is a rectangle. BE=2x+1 and AC=6x−12 . What is BE ?
Answer:
BE=15
Step-by-step explanation:
Since E is the center, BE=2x+1
And AC is 6x-12 with E being a midpoint.
Since AC is 2 segments and BE is only 1 then you multiply 2x+1 by 2 so that
you can find x. You multiply 2x+12 by 2 because E is the midpoint so that means ED is the same value as BE
6x-12=4x+2
BD=AC
6x-4x-12=2
2x=2+12
2x=14
x=7
BE= 2x+1
2(7)=14+1=15
1. Choose the statement that describes the value of the square root of 24.
The value is between 4 and 4.5
The value is between 4.5 and 5
The value is between 5 and 5.5
The value is between 5.5 and 6
Answer:
4.5 and 5
Step-by-step explanation:
The √24 is 4.89879
to one decimal place is 4.9
Approximately 5
Which Superhero has the greater miles to second ratio
------------------------------------------------------------------------------------------
Choices are:
------------------------------------------------------------------------------------------
A) Super-Man
B) Iron-man
C)Neither they are both equivalent
------------------------------------------------------------------------------------------
Answer:
Super Man
Have a great day!
plEASE HELP ME plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
24 people were in the sample !
HI PLEASE HELP IM KINDA CONFUSED WITH KINETIC ENERGY AND POTENTIAL ENERGY ANYONE CAN HELP?
Answer:
P
K
P
K
P
K
Step-by-step explanation:
If it's not moving, it's potential energy
If it's moving, it's kinetic energy
Carol has a collection of 100 stamps the graph below shows the percentage of stamps she has from each country. How many more of Carol's stamps are from Norway than from France?
i need to factor 5n^2-16
Answer:
([tex]\sqrt{5}[/tex] n - 4)([tex]\sqrt{5}[/tex] n + 4)
Step-by-step explanation:
Using the factorising method, difference of 2 squares
a² - b² = (a - b)(a + b) , then
5n² - 16
= ([tex]\sqrt{5}[/tex] n )² - 4²
= ([tex]\sqrt{5}[/tex] n - 4)([tex]\sqrt{5}[/tex] n + 4)
Find the Volume of the shape below.
4 ft
2 ft
2 ft
Answer:
16 ft³
Step-by-step explanation:
4ft x 2ft x 2ft = 4ft x 4ft = 16 ft³
Yo 10 or 22 points I rlly need help pls pls pls help :(
Answer:
Step-by-step explanation:
Solve for x, 3x < -17 - 4 so 3x < -21 so x < -7
Since the x you are looking for is less than -7, draw an open circle on -7 (don't color it in, leave it like a donut) then darken the number line to the left of -7 and draw an arrow at the end
3x 2+ 4x - 20
using grouping or an area model.
Answer:
Is the 3x a power of 2, once I get that info I'll edit my answer
Step-by-step explanation:
I need help on this plz thx
Answer:q=3
Step-by-step explanation:
14 multiplied by 3 equals 42
Answer: q = 3
Step-by-step explanation:
14q/14 = 1q
42/14 = 3
1q = 3
q = 3
please help!! whoever gets right i’ll mark brainlist
Answer:
It's B
Step-by-step explanation:
Because 10 less than 20 mean 20 is not greater so B. ) is correct
HELP!
If the radius of the large pizza is 8 inches, what is its area in square inches?
Answer:
about 200 square inches
Sierra conducted an experiment. She drew a color tile from a bag, recorded the results, and return the tile to the bag. Out of 100 trials she randomly drew a blue tile 46 times, a red tile 38 times, and a green tile 16 times. What is the experimental probability of drawing a red tile?
Option 1: 4/25
Option 2: 23/50
Option 3: 19/50
Option 4: 16/100
Using the information below, write a variable expression for the following:
Brian is x years old.
Brandon is twice as old as Brian.
Billy is 2 years older than Brandon.
Answer:
Step-by-step explanation:
b₁ = x
b₂ = 2b₁
b₃ = b₂+2
Write these numbers in order of size.
Start with the smallest number.
9
-3
2.
-2
Smallest
Answer:
smallest -3,-2,2,9 biggest
Answer:
-3, -2, 2, 9
Step-by-step explanation:
-3 is the smallest (it is below 0), -2 is second because it is closer to 0 than -3 but still below it, 2 follows, and then 9
sovle the equation x^2 + 2x^2 = 6^2
Answer:
3.46 = x
Step-by-step explanation:
6^2= 36
3.46^2 + 2(3.46)^2=36
Help bestiess
7x=5x÷67
Answer:
7x=5x/67
Step-by-step explanation:
I need help finding the rate of change can someone help me
Answer:
rate of change is 4.
Step-by-step explanation:
rate of change is the slope, so, pick any two relations given to us in the table.
(-3, -14) and (-1, -6).
slope = y2 - y1/ x2 - x1
slope = -6 - (-14)/-1-(-3)
slope = 8/2 = 4.
the rate of change is 4.
Write each polynomial in standard form.
Then, give the leading coefficient.
I
7. 12 + 3x2 - X
find the volume of the cylinder
Answer:
hope help you stay happy and safe
A scale on a blue print drawing of a house shows that 10 centimetres represents 22 meters.
What number of actual meters are represented by 18 centimetres on the blue print?
Answer:
39.6
Step-by-step explanation:
if
10=22
18=x
18x22=396/10= 39.6
Pls Help Me With This Question! It's 8th Grade Math!
Answer:
y= 4/3x
Step-by-step explanation:
Answer:
y= 4/3x
Step-by-step explanation:
3y+6-y please help me with algebra it's hard
Answer:
2y+6
Step-by-step explanation:
3y-y = 2y
So therefore...
2y+6