9x²-24xy+16y²
(3x)²-2.(3x)(4y) +(4y)²
(3x-4y)²
(3x-4y)(3x-4y)
Answer:
[tex](3x -4y)^2[/tex]
Step-by-step explanation:
[tex]9x^2 - 24xy + 16y^2 = (3x)^2 - 24xy + (4y)^2[/tex]
[tex]=(3x)^2 -2(3x \times 4y) + (4y)^2\\[/tex]
a = 3x , b = 4y . The expression [tex]a^2 - 2ab + b^2 = (a-b)(a-b) =(a-b)^2[/tex]
[tex]=(3x -4y)(3x - 4y)[/tex]
[tex]9x^2 - 24xy + 16y^2 = (3x -4y)^2[/tex]
Question 5 of 30
What is the period of the graph of y
5cos(4x – 1) + 3?
Answer:
Period is [tex]\frac{\pi}{2}[/tex]
Step-by-step explanation:
For the function [tex]y=acos(bx-c)+d[/tex], the period is [tex]\frac{2\pi}{|b|}[/tex].
Therefore, the period of the function is [tex]\frac{2\pi}{|b|}=\frac{2\pi}{|4|}=\frac{2\pi}{4}=\frac{\pi}{2}[/tex].
What this means is that the function's wave cycle will repeat every [tex]\frac{\pi}{2}[/tex] units.
8) what is the side ratio?. 9) what is the perimeter of RST?
Jacob cuts 4 meters of a ribbon into 3 pieces, the length of the first piece is 1.28 meters.The length of the second one is 1.65 meters. Work out the length of the 3rd piece.
Answer:
1.07meters
Step-by-step explanation:
Given data
Lenght of ribbon= 4 meters
Number of pieces= 3 pieces
Length of first piece= 1.28meters
Length of second piece= 1.65meters
Let the length of the third piece be x meters
Hence
1.28+1.65+x= 4
2.93+x=4
x= 4-2.93
x=1.07meters
Hence, the length of the third piece is 1.07meters
What is the x-intercept of the line shown below? Enter your answer as a coordinate pair.
Answer:
(1,0)
Step-by-step explanation:
Vasha pays $64.32 for 12 pairs of gloves for the fall. At this rate, how much will she pay for 5 pairs of gloves?
12 pair=64.32
5 pair=?
first calculate for one pair
one pair= 64.32/12= $5.36
5 pair then would be = $5.36 x 5= $26.8
hope it helps
Answer:
28.6
Step-by-step explanation:
64/12=5.36
5.36x5=28.6
Let me know if I'm wrong.
I need help solving these
Waylon played defense in 12 soccer games. This was 60% of the total number of games he played. How many games did Waylon play?
Answer:
Waylon played 20 games
Step-by-step explanation:
Have a great summer :)
Answer:
20 games
Step-by-step explanation:
DON'T UNDERSTAND SOMEONE CAN YOU HELP PLEASE
MY TEACHER IS ANNOYING ME TO DO THIS SUM
it is the linear equation
Question and choices are in the photo please explain the answer
Answer: The correct option is B.
Step-by-step explanation:
(x+5)(2x-1)=3(x+5)
Multiply the parentheses
2x^2 - x + 10x - 5 = 3x + 15
Collect like terms
2x^2 + 9x - 5 = 3x + 15
Move the expression to the left hand side and change its sign, then equate it to 0
2x^2 + 9x - 5 - 3x -15 = 0
Collect like terms
2x^2 + 6x - 20 = 0
Divide each term of the equation by 2
x^2 + 3x - 10 = 0
Rewrite the expression in factorized form
x^2 + 5x - 2x - 10 = 0
Factor the expression
x(x + 5) - 2(x + 5) = 0
(x + 5) (x - 2) = 0
Separate into possible cases but when the product of factors equals 0, at least one factor is 0.
x + 5 = 0———equation (1)
x - 2 = 0———-equation (2)
Solve the equations
x + 5 = 0———equation (1)
Make x the subject
x = 0 - 5
x = -5
x - 2 = 0———equation (2)
Make x the subject
x = 0 + 2
x = 2
Hence, the possible values of x are -5 and 2.
Ethan invests $3000 in a mutual fund that earns 6% interest per year compounded monthly. After 10 years, the investment is worth $5,458.19. How much interest did he earn?
Answer:
[tex]A = P(1 +\frac{r}{n} )^{nt}[/tex]
A = 3000(1 + .06/12)^120
strange the question did not want you to calculate the amount
that was given....
the interest is 5,458.19 - 3000 = 2,458.19
Step-by-step explanation:
Which is the best approximation for the value of 102−−−√?
Answer:
10
Step-by-step explanation:
it is because when you use a scientific calculator you get 10.09950494
which would be round to 10 because after the decimal the number is 0 below 5 so 10 stays as 10
hope this helps
The best approximation for the value of √102 is: 10.
Approximation for √102The square root of 102 is:
√102
=10.09950494
Now if we approximate 10.09950494 it would give us:
Approximation= 10.09950494
Approximation= 10 (Approximately)
Therefore The best approximation for the value of √102 is: 10.
Learn more about approximation here:https://brainly.com/question/1980606
ASAP I HAVE A MATH FINAL PLEASE
<2 and <6 -----> Neither
<1 and <4 ------> vertical
Hope it helps you...
which of the following is an experiment,? A. Rolling a pair die. B.Rolling two pair dice twice. C.Tossing a coin. D.None of these
Step-by-step explanation:
Hint : we will check for each option whether it is an experiment or not by using the concepts of probability first we will check then if a coin is tossed then it is an experiment or not ? then we will check that if a dice is rolled is it an experiment or not and then we will repeat the same process for choosing a marble from a jar
complete step by step answer and event is a set of outcomes of an experiment to which probability is assigned as take an example when we and I the possibility of 5 appearing on the die is an event if for tossing a coin we do not know the result when a coin is tossed in can give any result whether it will be a head or tails so this is an example for a random experiment if a six-sided dice will be rolled then we do not know what is about to come there result can be anything from 126 so it is also an example for random experiment choosing a marble from a jar is also an experiment because we are choosing one marble from the jar and experiment is a work in which a result can be anything hence option d is the correct option not probability is how likely something is about to happen when a coin is tossed there are two possibility outcomes heads or tails show the probability of an outcome 1
( number of ways it can happen )÷
( total number of outcomes)
so when a coin is tossed the total number of outcomes are to solve the probability of a current head is 1/2
Let k ( x ) = 2 x + 3 and m ( x ) = 3 x 2 + 7 x − 10 . Find the indicated value. M ( k ( − 4 ) ) =
Answer: [tex]30[/tex]
Step-by-step explanation:
Given
[tex]k(x)=2x+3[/tex]
[tex]M(x)=3x^2+7x-10[/tex]
[tex]M\left(k(x)\right)[/tex] is given by replacing the [tex]x[/tex] by [tex]k(x)[/tex] from the [tex]M(x)[/tex]
[tex]\Rightarrow M\left(k(x)\right)=3(2x+3)^2+7(2x+3)-10\\\Rightarrow M\left(k(x)\right)=3(4x^2+9+12x)+14x+21-10\\\Rightarrow M\left(k(x)\right)=12x^2+50x+38[/tex]
Now, [tex]M\left(k(-4)\right)[/tex] is
[tex]\Rightarrow M\left(k(-4)\right)=12(-4)^2+50(-4)+38\\\Rightarrow M\left(k(-4)\right)=192-200+38\\\Rightarrow M\left(k(-4)\right)=30[/tex]
An art student is mixing blue paint with yellow paint to create a special color. For every 6 gallons of blue paint, they need 4 gallons of yellow paint.
How much yellow paint will they need if they use 30 gallons of blue paint?
Answer:
The answer is 20 gallons of yellow paint
Answer:
20 gallons of yellow paint.
Step-by-step explanation:
4/6 = x/30 is the equation.
4 represents yellow paint.
6 represents blue paint.
We know 30 gallon of blue paints was used.
But we dont know x , the amount of yellow paint.
Criss cross bottom to top
6× X = 4×30
6x= 120
x=20
Write an equation of the line that passes through the points (2, -3) and (1,4).
Find the measure of angle 1
Answer:
<1 is 45○
Step-by-step explanation:
180-90 = 90
90 / 2 = 45
Answer:
Each angle=60°
m∠1=180-(60+60)180- (120)=60°--------------------------hope it helps...have a great day!!Which of the following expressions can be used to calculate the area of a square with side lengths 5 inches?
- 5 + 4
- 5 x 4
- 5 x 5
- 5 + 5
Step-by-step explanation:
5x5
because 5^2 equals the area
Maria thinks of a number double it and add 5 answer is 21 write as an equation in X and solve it to find Maria's number
Answer:
The number is 8
Step-by-step explanation:
2x +5 =21
2x= 21-5
2x=16
2x/2=16/2
x=8
To check
8×2=16
16+5=21
Graph inequality y< -3/2x -6
Answer:
Hope this helps...have a nice day/night!!Answer:
Step-by-step explanation:
You graph it
Need help ASAP DUE SOON PLEASE AND SHOW WORK ?!!!
Answer: 804.25
Step by step explanation:
Find the measure of angle 1
120°
45°
30°
90°
The answer should be 90 degrees
A 1,260-foot tree has grown at a constant rate each year. In the equation below, t is the age of the tree 28t = 1,260 in years.
Answer:
45 years
Step-by-step explanation:
28t = 1,260
Divide both sides by 28
t = 45
Solve the system of equations algebraically by using substitution method:
-3x+3y=9
-x+y=3
Answer:
This system has infinite solutions and it would be much easier to solve it by elimination but substitution it is.
Step-by-step explanation:
-3x+3y=9
-x+y=3
Isolate either x or y in any of the equations. I'll go with the second.
y = 3+x
Now substitute this for y in the first equation.
-3x+3(3+x)=9
Distribute the 3
-3x+9+3x=9
Combine like terms:
9=9
0=0
It's infinite
Reflection: Across the line y = -1
The A’ is your reflected shape. The red line is y=-1, or your line right reflection. To solve, I counted the distance from the red line on the original triangle, and then the same on the opposite side of the red line, and counted the same distance, plotting the points at the final spot.
An aquarium store recommends that the minimum size for a goldfish tank is 5.8 gallons plus an additional 0.6 gallon for each
fish that is added to the tank. Which expression represents the minimum number of gallons needed in a tank for x fish?
Answer: 5.8 +0.6x
Step-by-step explanation:
please help me this is due in 30 minutes
Answer:
a
c
c
a
Step-by-step explanation:
i have absolutely no idea what this answer is i worked on it for 15 minutes could i get some help please
Answer:
40
Step-by-step explanation:
m<1 = (1/2)(50 deg + 30 deg)
m<1 = (1/2)(80 deg)
m<1 = 40 deg
Answer: 40
Fiona grows large pumpkins and wants to estimate the mean weight of the approximately 500 pumpkins in her
harvest. She takes a random sample of 11 of these pumpkins and finds they have a mean weight of 44 kg and a
standard deviation of 6.7 kg. The weights in the sample were roughly symmetric with no outliers.
Answer:
44+-3.169(6.7/root11)
Step-by-step explanation:
The 99% confidence interval for the mean weight in kg of pumpkins grown by Fiona in the harvest for the provided sample is,
[tex]44\pm 3.169\times\dfrac{6.7}{\sqrt{11}}[/tex]
What is mean and standard deviation?The mean of the data is the average value of the given data. The standard deviation of the data is the half of the difference of the highest value and mean of the data set.
Fiona grows large pumpkins and wants to estimate the mean weight of the approximately 500 pumpkins in her harvest.
She takes a random sample of 11 of these pumpkins. Here, the sample size is 11 which is less than 30. Thus, use the formula mentioned below.
[tex]\overline x\pm t\times\dfrac{\sigma}{\sqrt{n}}[/tex]
Here, (n) is the sample size, [tex]\overline x[/tex] is the mean of the sample.
Degree of freedom is,
[tex]DF=11-1=10[/tex]
For this, the value of t from the t table is 3.169 for 99% confidence interval.
The mean weight of 44 kg and a standard deviation of 6.7 kg they find. Put these values in the above formula,
[tex]\overline x\pm t\times\dfrac{\sigma}{\sqrt{n}}=44\pm 3.169\times\dfrac{6.7}{\sqrt{11}}[/tex]
Thus, the 99% confidence interval for the mean weight in kg of pumpkins in the harvest for the provided sample is,
[tex]44\pm 3.169\times\dfrac{6.7}{\sqrt{11}}[/tex]
Learn more about the mean here;
https://brainly.com/question/14532771
The area of a circle is 3.14 square millimeters . What is the circle's radius ?
Answer:
Step-by-step explanation:Circle
Solve for radius
r≈1
A Area
3.14
d
r
r
r
d
d
C
A
Using the formula
A=
π
r
2
Solving forr
r=
A
π
=
3.14
π
≈
0.99975
Answer:
Radius of circle is 1 mm.
Step-by-step explanation:
Area of circle is 3.14 mm ²
Radius of circle
Area of circle = π × ( radius ) ²
substitute the values
3.14 mm² = 3.14 × ( radius )²
divide the values
3.14mm²/ 3.14 = ( radius) ²
1 mm²= ( radius)²
find the square root of 1 mm²
√1mm² = radius
1 mm = radius
Therefore the radius of circle is 1 mm.