If the parent graph f(x) = x² is changed to f(x) = 2x², the vertex of the parabola will still remain (0, 0) because whenever the equation of a parabola is in the form y = ax², the vertex will always be (0, 0).
Now if a is a big number, the parabola will become narrower.
So it will stretch vertically and become narrower.
Brandon and Denny are playing a video game. Brandon has 3 times as many points as Denny l. Brandon has 12 points. How many points does Denny have?
Answer:
it is 4
Step-by-step explanation:
12 ÷ 3 = 4
3 x 4 = 12
4 x 3 = 12
Drag the tiles to the correct boxes to complete the pairs.
Consider the functions below.
Match the expressions to the correct function combinations.
Answer:
Step-by-step explanation:
i took the test on plato
For (x+3) → (f/g)(x), for x^3-15x^2+27x+243 → (f.g)(x), for x^2-5x-36 → (f+g)(x), for x^2-7x -18 → (f-g)(x) represents correct combination.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
[tex]\rm f(x) = x^2-6x-27[/tex] and
[tex]\rm g(x) = x-9[/tex]
[tex]\rm (f+g)x = x^2-6x-27+x-9\\\\(f+g)x = x^2-5x-36[/tex]
[tex]\rm \dfrac{f}{g}(x) = \dfrac{x^2-6x-27}{x-9}\\\\\\rm \dfrac{f}{g}(x) = \dfrac{(x+3)(x-9)}{x-9}\\\\\rm \dfrac{f}{g}(x) = x+3[/tex]
[tex]\rm (f\times g)(x) = (x^2-6x-27)(x-9)\\\\\rm (f\times g)(x) =x^3-15x^2+27x+243[/tex]
[tex]\rm (f-g) = x^2-6x-27-(x-9)\\\\\rm (f-g) =x^2-7x -18[/tex]
Thus, for (x+3) → (f/g)(x), for x^3-15x^2+27x+243 → (f.g)(x), for x^2-5x-36 → (f+g)(x), for x^2-7x -18 → (f-g)(x) represents correct combination.
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miguel is selling candy bars for a school fundraiser. if all candy bars habe the same cost and 2 candy bars costs $5 complete the ratio
Answer:
if 2 candies cost $5;
then 1 candy will cost $2.5
therefore, the ratio is 1:2
FIFTY POINTS AND ILL GIVE BRAINLIEST TO THE RIGHT ANSWER!
Find the sum, difference, product, and quotient of 6 x 10^-4 and 1.5 x 10^
-4. Write your answers in scientific notation.
The sum is__
The difference is__
The product is__
The quotient is__
Answer:
The sum is
6 × 10⁻⁴ + 1.5 × 10⁻⁴ = 7.5 × 10⁻⁴The difference is
6 × 10⁻⁴ - 1.5 × 10⁻⁴ = 4.5 × 10⁻⁴The product is
6 × 10⁻⁴ × 1.5 × 10⁻⁴ = 9 × 10⁻⁸The quotient is
6 × 10⁻⁴ ÷ 1.5 × 10⁻⁴ = 4Delonte has 1,350 followers on social media. Each week, the number of followers increases by 2%. Which function represents his number of followers for w weeks?
Answer:
1350(1.02)^w
Step-by-step explanation:
hope this helped
James has 21 cups of flour. He will pour the flour equally into 4 containers. How many cups of flour will be in each container?
Answer:
5.25 cups of flour
Step-by-step explanation:
4 containers - 21 cups of flour
1 container - 21 cups of flour ÷ 4 = 5.25 cups of flour
Answer: 5 1/4 cups of flour will be in each container
Step-by-step explanation:
21 ÷ 4= 5.25
5.25= 5 1/4
hope this helps i have no idea why i am typing in bold letters
Find x
(2x + 50)
(3x - 10°)
final answer needs to equal 90°!!!! Please help ??
The perimeter of rectangle ABCD is 72. The ratio of the lengths of the sides
is 1:2. What are the lengths of the sides?
a. 12 and 18
b. 12 and 24
c. 4.5 and 9
d. 6 and 12
Answer:
Step-by-step explanation:
The two lengths of the rectangle ABCD will be 12 and 24
What will be the length of the rectangle?It is given that
The perimeter of the rectangle
P=72 units
The ratio of the length
[tex]\dfrac{a}{b}=\dfrac{1}{2}[/tex]
Now from the formula of the perimeter of the rectangle
[tex]P= 2(a+b)[/tex]
[tex]\dfrac{a}{b}=\dfrac{1}{2}[/tex]
[tex]b=2a[/tex]
[tex]2(a+2a)=72[/tex]
[tex]6a=72[/tex]
[tex]a=12[/tex]
[tex]b=2\times 12=24[/tex]
Thus the two lengths of the rectangle ABCD will be 12 and 24
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Dots sells a total of 290 T-shirts ($2) and shorts ($4) . In April, total sales were $678. How many T-shirts and shorts did Dots sell?
Answer:
241 t-shirt and 49 short
Step-by-step explanation:
lets call shorts x and tshirts y
x+y=290 (first equation)
4x+2y=678 (second equation) { we multiply the price of short with the short so we can get the pieces sold and also with the t-shirt to get the pieces sold)
x=290-y
and substitute it with x in the second equation
4(290-y)+2y=678 then till u get to y=241 (the pieces sold)
290-241=49 (pieces sold)
so as proof 49+241=290 pieces sold
as proof also 4*49=196 price of all shorts sold
2*241=482 price of all t-shirts sold then add them together and u will get 196+482=678$
Terrell has $2,700 in his checking account and $1500 in his savings account. He
uses his checking account to pay bills, which are $240 each month.
a) In how many months will his checking account balance equal his savings account
balance?
b) If Terrell deposited an additional $720 in his savings account, in how many
months will his balances be the same?
Answer:
1.8 month and they wouldnt
Step-by-step explanation:
brainalist
The number of months when both accounts have the same balance is 5 months. If $720 is deposited each month in the saving account, then the number of months when both accounts have the same balance is 1.25 months.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Terrell has $2,700 in his financial records and $1500 in his bank account. He utilizes his financial records to take care of bills, which are $240 every month.
Let 'x' be the number of months. Then the equation is given as,
1500 = 2700 - 240 x
240 x = 1200
x = 5 months
Assuming Terrell kept an extra $720 in his bank account. Then the equation is given as,
1500 + 720 x = 2700 - 240 x
960x = 1200
x = 1.25 months
The quantity of months when the two records have a similar equilibrium is 5 months. On the off chance that $720 is kept every month in the saving record, the number of months when the two records have a similar equilibrium is 1.25 months.
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need help ASAP !!!
[tex] \sqrt{2563 \times 2563} [/tex]
Answer:
√{2563×2563}=√2563²=±2563
determine the length of a chord whose central angle is 75° in the circle with the radius of 12 inches.
Answer:
Step-by-step explanation:
other two sides joining center to the ends of chord=radius of circle=12 in
using cosine formula
[tex]cos A=\frac{b^2+c^2-a^2}{2bc} \\2bc cos~A=b^2+c^2-a^2\\\angle A=75^\circ\\b=c=r=12~in\\2*12*12~cos~75=12^2+12^2-a^2\\a^2=2*12^2-2*12^2 cos ~75\\a^2=2*12^2(1-cos 75)\\a=12\sqrt{2(1-cos~75)} \approx 14.6~inches[/tex]
What is the value of this expression?
-18/3
If the mean of 5 numbers is 36 , what is the 5 th number if four of the numbers are 27 , 42, 43, and 35
Answer:
33
Step-by-step explanation:
To find the mean of 5 numbers, you add the 5 numbers and divide by 5.
Let the unknown number = x.
(27 + 42 + 43 + 35 + x)/5 = 36
(x + 147)/5 = 36
x + 147 = 180
x = 33
Answer: 33
The coordinate plane shown below shows the locations of the library and park in the town where Rasheed lives. Which expression represents the distance from the library to the park as modeled on the coordinate grid?
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Write the quadratic equation in standard form:
4x-7= -5x^2
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
5x^2 + 4x - 7 = 0
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Without solving determine the number of real solutions for each quadratic equation
b^2-4b+3=0
2n^2 + 7 = -4n + 5
x - 3x^2 = 5+ 2x - x^2
Answer:
Step-by-step explanation:
Answer:
b^2-4b+3=0
b²-3x-b+3=0
b(b-3)-1(b-3)=0
(b-3)(b-1)=0
either
b=3 or b=1
.
2n^2 + 7 = -4n + 5
2n²+4n+7-5=0
2n²+4n+2=0
2(n²+2n+1)=0
(n+1)²=0/2
:.n=-1
.
x - 3x^2 = 5+ 2x - x^2
0=5+ 2x - x^2-x +3x^2
0=5+x+2x²
2x²+x+5=0
comparing above equation with ax²+bx +c we get
a=2
b=1
c=5
x={-b±√(b²-4ac)}/2a ={-1±√(1²-4×2×5)}/2×1
={-1±√-39}/2
Solve for x. I need help please
Answer:
The answer is 1 & 7/8 or the middle option
PLZZZZZZZZ HELPPPPPPPP WILL MARK BRAINLIEST
Answer:
b≤−16
Step-by-step explanation:
Answer:
b = -16
Step-by-step explanation:
(1/2)b + 2 ≤ -6
-2 -2
(1/2)b ≤ -8
x2 x2
b ≤ -16
Plug in b as -16
(1/2)-16 + 2 ≤ -6
-8 + 2 ≤ -6
-6 ≤ -6
hello, last question about this assignment. please answer asap if you can and show work. thanks
Answer:
52 in^2
Step-by-step explanation:
If the diameter = 3 in, then the radius = 1.5 in.
To find the surface area, you need to find the area of the two circle areas (the base and the top of the cylinder) and the "sides" of the cylinder. If you look at the net shape of a cylinder, look at the picture below. That middle region aka the "side" of the cylinder is actually a rectangle. The length of the rectangle is also the circumference of the circle and the width is also the height of the can.
So:
2 * Area of the circle + rectangle = total surface area of the can
= 2(πr^2) + 2πrh
= 2π(1.5^2) + 2π(1.5)(4)
= 2π(2.25) + 12π
= 4.5π + 12π
= 16.5π
≈ 51.8
≈ 52 in^2
Solve using the quadratic formula.
9p2 - 4p - 8 = 0
What do balloon mortgage and ARM have in common?
Answer:
In other respects, a balloon mortgage resembles an adjustable rate mortgage (ARM) with an initial rate period equal to the balloon period. A 7-year balloon, for example, is usually compared to a 7-year ARM. Both have a fixed-rate for 7 years, after which the rate will be adjusted.
Step-by-step explanation:
Answer:
Both are subject to current market rate after the initial rate period.
Step-by-step explanation:
PLEASE PLEASE HELP ME WITH MATH SO I PASS THIS YEAR!
Answer:
Step-by-step explanation:
since ∠PRS is supplemental with ∠VUW , that is the two angles add up to 180 degrees, you know that TV is parallel with QS
then the order of the answer from top to bottom are
1
2
5
6
4
3
PLEASE I NEED HELP- :,)
Answer:
x > 12
Step-by-step explanation:
since it is an open circle on 12 shading to the right we know it will be a greater than symbol on 12 so x > 12
Answer:
x>12
Step-by-step explanation:
It is an open circle so it does not include 12 and all values are greater than 12.
First person to answer both of these will get 10 points and Brainliest. But your answer has to be correct!
Answer:
The correct answer to a is 3 1/2 same answer for the other answer.
Answer:
a. 7/2 OR 3 1/2 Either answer should be acceptable
b. 82/15 OR 5 7/15 Either answer should be acceptable
Step-by-step explanation:
a. 5 3/4 = so first multiply the denominator, 4, by the whole number 5 so 4 x 5 is equal to 20. Add this to your numerator, 3.
20 + 3 = 23 so the new fraction is 23/4
Same thing with 2 1/4 4 x 2 = 8 + 1 = 9 9/4
23/4 - 9/4 = 14/4 simplify this to 7/2
b. Same process here:
7 2/3 3 x 7 = 21 + 2 = 23 23/3
2 1/5 5 x 2 = 10 + 1 = 11 11/5
This time, we need a common denominator
3 x 5 = 15
5 x 3 = 15
23/3 x 5/5 = 115/15
11/5 x 3 = 33/15
115/15 - 33/15 = 82/15
what is 4.5(x - 9)= -13.5
Answer:
6
Step-by-step explanation:
4.5(x-9)=-13.5
((distribute the 4.5 to the x (4.5x) and distribute the 4.5 to the -9 (-40.5)))
4.5x-40.5=-13.5
4.5x=27
x=27/4.5
x=6
Line t intersects line u , as shown below.
What is the value of x
Answer:
54
Step-by-step explanation:
Y=3/2x+1/6 I need help?
Answer:
4/8
Step-by-step explanation:
Answer:
X=4
Step-by-step explanation:
3/2x+1/6=3/12x=4x
A 30 gallon tank is being filled at a rate of 2 gallons per minute. There was 6 gallons of water in the tank to begin. Let y represent the total amount of water in the tank and m represent the number of minutes. Write an equation to model the amount of water in the tank.
The amount of water in the tank represented by the equation as:
y = 2m + 6, where y is the total amount of water in the tank, m is the number of minutes.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
Let y represent the total amount of water in the tank and m represent the number of minutes.
We can model the amount of water in the tank using the equation:
y = 2m + 6
This equation states that the total amount of water in the tank (y) is equal to the rate of filling (2 gallons per minute) multiplied by the number of minutes (m), plus the initial amount of water in the tank (6 gallons).
For example, if we let m = 5, then y = 2 × 5 + 6 = 16, which means that after 5 minutes, the tank will contain 16 gallons of water.
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How many solutions does the system have?
y= -2x - 4
y= 3х + 3
Answer:
One solution
Step-by-step explanation:
The system has one solution and that is (-1.4, -1.2)