Given:
The function is
[tex]A(x)=(3x-3)(3x+2)[/tex]
To find:
The simplified form of A(x) and value of A(x) at x=1.
Solution:
We have,
[tex]A(x)=(3x-3)(3x+2)[/tex]
[tex]A(x)=(3x)(3x)+(3x)(2)+(-3)(3x)+(-3)(2)[/tex]
[tex]A(x)=9x^2+6x-9x-6[/tex]
[tex]A(x)=9x^2-3x-6[/tex]
Putting x=1, we get
[tex]A(1)=9(1)^2-3(1)-6[/tex]
[tex]A(1)=9-3-6[/tex]
[tex]A(1)=9-9[/tex]
[tex]A(1)=0[/tex]
Therefore, the simplified form of A(x) is [tex]A(x)=9x^2-3x-6[/tex] and the value of A(x) at x=1 in 0.
At the movies, a couple bought 2 medium drinks and a large popcorn for $13.85. At the same theater, a family bought 3 medium drinks and 2 large popcorns for a total of $23.90. What is the cost of a large popcorn?
Select all of the statements that correctly describe the Pythagorean theorem and it’s converse
Answer:
IS there a picture?
Step-by-step explanation:
Answer:
Step-by-step explanation:
there is no choices to choose from only a question so I'm not sure what the answer choices are.
A circle's circumference is approximately 88 cm. Estimate the diameter, rounding to the nearest WHOLE number. (don't forget your units and use 3.14 if you need to use )
Answer:
diameter = 28 cm
Step-by-step explanation:
circumference = 2πr
88 cm = 2 * 3.14.*r. ( π = 3.14 )
r = ( 88)/(3.14*2)
r = 14 cm
diameter = 2 * radius
diameter = 2 * 14 cm
diameter = 28 cm
Answer:
28 cmStep-by-step explanation:
Circumference formula:
C = πdSubstitute values of circumference and the π to find the diameter:
d = C/πd = 88/3.14 = 28 cm (rounded)
The sum of four consecutive odd
integers is – 40.
What is the largest integer?
Answer:
136
Step-by-step explanation:
HELP PLEASE
Which graph best represents the equation y= 2x
Answer:
The answer is H.
Step-by-step explanation:
There is no "b" in this y = mx + b, so it has to go through zero, eliminating the bottom two. If we insert y = 2(1), the point should be at (1, 2), and if when looking at the possible answers, we can go with letter H.
elimination method -2x-7y=13 and 3x+6y=15
Answer:
The answer is (61/3), (-23/3)
Step-by-step explanation:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Hoped this helped!
If a quadrilateral is a rectangle, then it is a parallelogram (True or False)
Why do we use fractions to represent slope?
Answer:
The formula for slope is sometimes referred to as "rise over run", because the fraction onsists of the "rise" (being the change in y, going up or down) divided by the "run" (being the change in x, going from left to the right).
Step-by-step explanation:
Write an equation for the line that passes through the points (0, -2) and (-4, 0).
y = - x - 4
y = -2 x - 4
y = -2 x - 2
y = - x - 2
Answer:
y=-1/2x-2
Step-by-step explanation:
I dont think any of those options are the right one so thats the correct answer
Answer: y = -1/2x - 2
Step-by-step explanation:
To first write the equation, we need to find the slope and the y intercept and write it in the form y=mx +b
To find the slope, we will find the difference between the y coordinates and divide it by the difference between the x coordinates.
The y coordinates of the points are , 0 and -2
The x coordinates of the points are -4 and 0
0 - (-2) = 2
-4 -0 = -4
Slope: 2/-4 = -1/2
Now using the formula y=mx+b, you will input the slope and use one of the given point's coordinates to solve for b the y intercept.
We will use the point (0,-2)
-2 = -1/2(0) + b
-2 = b
This means the equation will be y = -1/2x - 2
what times 60 equals 105
Answer:
1.75
Step-by-step explanation:
To do this you would have to do
105/60=1.75
so that would be the answer
PLEASE HELP ME ASAP!!! I REALLY NEED HELP :(
Answer:
See below
Step-by-step explanation:
GivenR is the midpoint of SQ and PTTo proveΔPQR ≅ ΔTSRSolutionR is the midpoint of SQ
SR = 1/2SQ and RQ = 1/2SQ ⇒ SR ≅ RQR is the midpoint of PT
PR = 1/2PT and RT = 1/2PT ⇒ PR ≅ RTSQ and PT intersect at point R ⇒
∠PRQ ≅ ∠TRS as vertical anglesTriangles PQR and TSR have two sides and the included angle congruent, therefore:
ΔPQR ≅ ΔTSR,as per SAS congruence postulate
If two sides and the included angle in one triangle are congruent to two sides and the included angle in another triangle, then the two triangles are congruentDennis can walk about 2 5/6 miles each hour. About how far can he walk in 3 hours 15 minutes?
Answer:
24 13/34
Step-by-step explanation:
The distance covered by Dennis will be 9.23 miles.
What is speed?Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Speed is a scalar quantity and does not require any direction to represent it.
Given that Dennis can walk about 2(5/6) miles each hour. The distance covered by Dennis in 3 hours 15 minutes will be calculated as:-
Distance = 2 ( 5 / 6) x 3 hour 15 minute
Distance = 2.84 x 3 ( 1 / 4)
Distance = 2.84 x 3.25
Distance = 9.23 miles.
Therefore, the distance covered by Dennis will be 9.23 miles.
To know more about speed follow
https://brainly.com/question/13943409
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Could 8 be a solution? Why or why not?
x2 = 49
Answer:
it cannot be
Step-by-step explanation:
x²=49
x=√49
x=7
Thus answer is 7 and not 8
4a^2b^2,12ab^2,-8a^2b
The radius of a cylinder is increasing at a constant rate of 2 inches per minute. The volume remains a constant 440 cubic inches. At the instant when the radius of the cylinder is 44 inches, what is the rate of change of the height? The volume of a cylinder can be found with the equation V= [tex]\pi r^2h[/tex] Round your answer to three decimal places.
Answer:
The rate of change of the height is approximately [tex]-6.577\times 10^{-3}\,\frac{in}{min}[/tex].
Step-by-step explanation:
From Geometry we know that volume of cylinder ([tex]V[/tex]), measured in cubic inches, is expressed by:
[tex]V = \pi\cdot r^{2}\cdot h[/tex] (1)
Where:
[tex]r[/tex] - Radius, measured in inches.
[tex]h[/tex] - Height, measured in inches.
Given that volume remains constant, the expression for the rate of change of the height ([tex]\dot h[/tex]), measured in inches per minute, is:
[tex]2\pi\cdot r \cdot h \cdot \dot r + \pi \cdot r^{2}\cdot \dot h = 0[/tex]
[tex]2\cdot h\cdot \dot r + r\cdot \dot h = 0[/tex]
[tex]r\cdot \dot h = -2\cdot h \cdot \dot r[/tex]
[tex]\dot h = -\frac{2\cdot h\cdot \dot r}{r}[/tex]
[tex]\dot h = - \left(\frac{2\cdot \dot r}{r}\right)\cdot \left(\frac{V}{\pi\cdot r^{2}} \right)[/tex]
[tex]\dot h = -\frac{2\cdot \dot r \cdot V}{\pi\cdot r^{3}}[/tex] (2)
Where [tex]\dot r[/tex] is the rate of change of the radius, measured in inches per minute.
If we know that [tex]r = 44\,in[/tex], [tex]\dot r = 2\,\frac{in}{min}[/tex] and [tex]V = 440\,in^{3}[/tex], then the rate of change of the height is:
[tex]\dot h = - \frac{2\cdot \left(2\,\frac{in}{min} \right)\cdot \left(440\,in^{3}\right)}{\pi\cdot (44\,in)^{3}}[/tex]
[tex]\dot h \approx -6.577\times 10^{-3}\,\frac{in}{min}[/tex]
The rate of change of the height is approximately [tex]-6.577\times 10^{-3}\,\frac{in}{min}[/tex].
Help - sorry it’s blurry I couldn’t fix it
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Which equation shows how the distributive property can be used to find the number of
Xs in both arrays?
Answer:
here is a simple version
lets make A equal the exponent so (A=^2 or 3 or whatever)
the exponent will be the amount of times you want to repeat the process.
Now lets make x = the first array, so x=3
and lets make y = the second array, y=7
now a simple equation would be (3x)(7y)^A or for this you could say
(3x)(7y)^6
You travel 30 out of 200 miles of the trip. What percent of the trip have you traveled already?
Answer:
15%
Step-by-step explanation:
Answer:
15%
Step-by-step explanation:
30/200 = .15
move the decimal 2 places back and replace it with a %
simplify each expression.
(4 - 2i) - (-3 + i)
Answer:
2i - (-3 + i)
Step-by-step explanation:
I think this is it. Sorry if it's wrong
Answer:
7 -3i
Step-by-step explanation:
Simplify by combining the real and imaginary parts of each expression
What is the sum of 1/8+5/16+3/8
Answer:
i think it's 13/16
Step-by-step explanation:
1/8 times 2 is 2/16 and 3/8 times 2 is 6/16 so add all up to get 13/16
PLS HELP PLS ITS TIMES ILL GIVEBRAINLIEST IF CORRECT HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!
Answer: A
Step-by-step explanation:
Does anyone else play nitro type?
Answer:
I do!
Step-by-step explanation:
Answer:
no sorry but i do know some friends that play..
please helppppppp meee
Answer:
2.73
Step-by-step explanation:
Bc I did this
Which list shows the fractions in order from greatest to least? will mark brainliest !!
pleas help
Answer:
B) 2/3, 1/2, 2/5
what is the absolute value of -6 please help
Answer:
6
Step-by-step explanation:
its 6
What input will result in an output of 12 for the following functions d(x) = 2x -4
Answer:
8
Step-by-step explanation:
12=2x-4
12+4 = 2x
16 = 2x
16/2 =x
x =8
check
d(x) = 2(8)-4
=16-4
=12
What is the exact value of x? 5⋅21^5x=16
Answer:
x= 16 /20420505
Step-by-step explanation:
Let's solve your equation step-by-step.
5(215)x=16
Step 1: Simplify both sides of the equation.
20420505x=16
Step 2: Divide both sides by 20420505.
20420505x /20420505 = 16 /20420505
x= 16 /20420505
Plz help!!
A concession stand sells 3 hot dogs for every 4 hamburgers. Hot dogs come in packages of 8.
How many packages of hot dogs does the owner need to buy if he predicts he will sell 256 hamburgers?
Answer:
The concession stand sold 46 hot dogs and 32 hamburgers.
Step-by-step explanation:
What is the vaule of 5/6 ÷ 3/4
Answer:
0.625
Step-by-step explanation:
5/6 x 3/4 = 0.625 in decimal form.
12x+3y=-9
find y- intercept
Answer:
3
Step-by-step explanation:
subtract 3y from both sides
add 9 to both sides
3y=12x+9
divide everything by 3
y=4x+3
y-intercept is 3