Answer:
72
Step-by-step explanation:
Given that 2x + 3y = 12 , then
(2x + 3y)² = 12² = 144 ← distribute left side using FOIL
4x² + 12xy + 9y² = 144 ( subtract 12xy from both sides )
4x² + 9y² = 144 - 12xy = 144 - 12(6) = 144 - 72 = 72
Write the explicit rule.
-21, -51, -81, -111, -141
Answer:
aₙ = - 30n + 9
Step-by-step explanation:
You can tell this is an arithmetic sequence, as there is a difference of 30 between each value. Therefore the equation we will use here is aₙ = a₁ + (n - 1)d.
aₙ = a₁ + (n - 1)d
= - 21 + (n - 1) * - 30
= - 21 - 30n + 30
= - 30n + 9
Your solution would be option d. aₙ = - 30n + 9
From 60 to 36% in phones
-9x - 33 + 17 - 19x simplify
Answer:
-28x -16 is the simplified answer.
Step-by-step explanation:
You have to move your constants towards your constants. So -9x and -19x are constants because their variable is the same. SO -9x plus -19x is -28x. And -33 and 17 are constant because they have the same variable so -33 plus 17 is -16. You can recheck my math to make sure.
Hello! :)
First, we will simplify
−9x + − 33 + 17 + −19x
Combine like terms
-9x + -33 + 17 + -19x
(-9x + -19x) + (-33 + 17)
-28x + -16
Hope this helped you!
THEDIPER
Simplify the expression by combining like terms
-7x + 2 + 4x – 1
hope that helps and plss tell me if you have any questions :))
Answer:
[tex]\boxed{-3x + 1}[/tex]
Step-by-step explanation:
[tex]-7x + 2 + 4x - 1[/tex]
[tex]= -7x + 2 +4x + -1[/tex]
Combine Like Terms:
[tex]= -7x + 2 + 4x + -1[/tex]
[tex]= (-7x + 4x) + (2 + -1)[/tex]
[tex]= -3x + 1[/tex]
Hope this helped you!
Graph the line y = 3x +3 (on Desmos) and the line perpendicular to
it that passes through (-3, 2). Then write the equation of the
perpendicular line.
Maybe help PLZZZZZZZ
Answer:
[tex] \sqrt{5} [/tex]
(Please comment if you want explanation)
IM having a bad day help pleaseeeee
Diana usually drives at average rate of 30 mph.
e
If Diana drives with the average rate x mph, how long would it take her to get to Tony's house?
Answer:
"i forgot"
Step-by-step explanation:
the perimeter of a rectangle is at most 24 cm. Two opposite sides are both 4cm long. What are the possible lengths of the other two sides
Answer: The "possible" lengths are 8' .
Answer:
The posible length for the other 2 sides is 8cm
List the terms of the expression 9x + 4y - 2
9,4
9, 4,-2
9x, 4y
9x, 4y, -2
Answer:
9x, 4y, -2
Step-by-step explanation:
The terms are the constants or products that make up the sum that is the polynomial. They are ...
9x, 4y, -2
How to write 3/4 of a cup as a percent?
Answer:
3/4 of a cup in percentage is 75% of a cup.
Explanation:
3/4 is 0.75, and usually 1 is 100%. Therefore 0.75 would be equal to 75%.
plzzzzzzzzzzzzzzz help
Answer: I think it’s a
Step-by-step explanation:
Answer: Choice C) [tex]-6 \le x \le 2[/tex]
The domain is the set of possible x values or allowed inputs. The left-most point has x = -6 as the smallest allowed x value, while the right-most point has x = 2 as the largest allowed x value.
The domain is the set of numbers between -6 and 2, including both endpoints. So we write [tex]-6 \le x \le 2[/tex]
If you want the domain written in interval notation, then you would have [-6, 2]. The square brackets tell the reader "include the endpoint".
Eddy's yard is 12 feet wide and 20 feet long. It is covered with grass.
Answer:
The answer is 32
Step-by-step explanation:
12 plus 20
complementary angles
If G= (6x-15)° and H= (3x+6)° find the x value and H
Answer:
x = 11 and H = 39°
Step-by-step explanation:
Complementary angles add up to 90 degrees, so angles G and H will add up to 90 degrees.
Create an equation by adding the expressions together and setting it equal to 90.
(6x - 15) + (3x + 6) = 90
Solve for x by adding like terms first:
9x - 9 = 90
Isolate x and solve:
9x = 99
x = 11
Then, find H by plugging in 11 as x into the expression:
3x + 6
3(11) + 6
33 + 6
= 39
So, x = 11 and H = 39°
The value of x is 11 and the value of H is 39.
Given,
G= (6x-15)°
H= (3x+6)° are complementary angles.
We need to find the value of x and H
What are complementary angles?
If the sum of two angles is 90 degrees the angles are called complementary angles.
We have,
G= (6x-15)°
H= (3x+6)° are complementary angles.
We can write it as,
(6x-15)° + (3x+6)° = 90°
6x - 15 + 3x + 6 = 90
9x - 9 = 90
9x = 90 + 9
9x = 99
x = 99/9
x = 11
Find the value of x and H.
x = 11.
H = 3x + 6
= 3 x 11 + 6
= 33 + 6
= 39
H = 39
Thus the value of x is 11 and the value of H is 39.
Learn more about complementary angles here:
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Can someone help me with this two step equation?
8-1/3x=16
Answer and work down below. Let me know if you have questions
Positive numbers are located to the right of zero on the number line.
True False
Answer: True, because the negative numbers are located to the left of zero on the number line.
Answer:
True
Step-by-step explanation:
-2,-1,0,1,2
Negative—|—Positive
Jimmy invests $4,000 in an account that pays 2% annual interest, compounded semi-annually. What is his balance, to the nearest cent, at the end of 10 years?
Answer:
$4,880.80
Step-by-step explanation:
A = P(1 + r/n)^nt
Where,
A = future value
P = principal = $4,000
r = interest rate = 2% = 0.02
n = number of periods = 2
t = time = 10
A = P(1 + r/n)^nt
= 4000( 1 + 0.02/2)^2*10
= 4000(1 + 0.01)^20
= 4000( 1.01 )^20
= 4000(1.2202)
= 4,880.8
A = $4,880.80 to the nearest cents
Jimmy's balance after 10 years will be $ 4880.8
Jimmy invests $4,000 in an account compounded semi annually according to the given conditions
Given
Principal = $4000
Annual Internet Rate = 2% =0.02
Let the amount be Amount = A
Compounding frequency = 2
Time = 10 years
Equation for amount of compound interest is given by the equation (1)
[tex]A = P\times (1 + \dfrac{r}{n} ) ^{nt}.....(1) \\A = 4000 ( 1 + \dfrac{0.02}{2} )^{ 2\times10}\\A = 4000 (1+ 0.01 )^{20} \\A = 4880.8[/tex]
So his balance after 10 years will be $ 4880.8
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Which expression does the graphic represent?
8 positive tiles. 1 tile is crossed out.
7 minus 1
7 minus (negative 1)
8 minus 1
8 minus (negative 1)
I'll give brainliest
Answer:
the answer is 8-1
Step-by-step
Need help with this
Answer:
[tex](-\frac{2}{5})^3[/tex]
Step-by-step explanation:
Consider the expression (x 6) – 3x
What is the value of the expression evaluated for x = 12?
a) –26
b) –25
c) 12
d) 46
Answer:
-26
Step-by-step explanation:
I just did it and I got it right
the smaller triangle was dilated to form the larger triangle what is the value of x
Answer:
i think c which is 14
Which numbers are rational?
I. 2.2222222...
II. 2.20220222...
III.2.345
Answer:
2.345
Step-by-step explanation:
Given the definitions of f(x) and g(x) below, find the value of f(g(5)).
f(x) = 3x^2– 3x + 2
g(x) = 2x – 8
Answer:-26
Step-by-step explanation:
Determine the range of the following graph
Answer: [-4,4]
Step-by-step explanation: Range is the set of y-values that are outputted by function f(x).
From the graph we see that our y-values span from -4 to 4. Since both are closed dot, they are included in the range:[-4, 4] or -4≤ y ≤ 4
if 2 out of the 5 registered voters will cast a ballot in an election and there are 450,000 registered voters,how many people will cast a ballot?
Answer:
180,000 people
Step-by-step explanation:
2/5= 0.4
0.4x450,000=180,000
Answer:
180,000
Step-by-step explanation:
450,000/5 = 90,000
90,000 * 2 = 180,000
Calculate the mass of a liquid with a density of .7892 g/mL and a volume of 121.0 mL.
Answer:
95.49 g
Step-by-step explanation:
D = m/v
Looking for mass so isolate m to form equation format
D × V = m
Plug in numbers
.7892g/mL × 121.0 mL = 95.4932 g
Only g and not g/mL because the mL cancels each other out. It's easier to see if you rewrite it on paper.
Round to sig figs
Both original numbers hold 4 sig figs
95.49 g
what does 5n represent
Answer:
5n is equal to 5 x n.
Step-by-step explanation:
If n = 6 , then 5n would equal 5 x 6 , or 30.
Answer:
5n means 5 × a number
Step-by-step explanation:
say if your problem is 5n=20
20 ÷ 5=4
n=4
5 × 4= 20
hope this helps!
Musical megabytes How much disk space
does your music use? Here are the file sizes (in
megabytes) for 18 randomly selected files on
Gabriel's mp3 player. Identify any outliers in the
distribution.
2.4 2.7 1.6
13
6.2
1.3
5.6
1.1 2.2
1.9
2.1
4.7
3.0
1.9
2.5
7.5
500
Given:
Consider the file sizes (in megabytes) for 18 randomly selected files on Gabriel's mp3 player are shown in the below figure.
To find:
The outliers in the distribution.
Solution:
We have, the given data set
2.4, 2.7, 1.6 , 1.3 , 6.2, 1.3, 5.6, 1.1, 2.2, 1.9, 2.1, 4.4, 4.7, 3.0, 1.9, 2.5, 7.5, 5.0
Arrange the data in ascending order.
1.1, 1.3, 1.3, 1.6, 1.9, 1.9, 2.1, 2.2, 2.4, 2.5, 2.7, 3.0, 4.4, 4.7, 5.0, 5.6, 6.2, 7.5,
Divide the data in 4 equal parts.
(1.1, 1.3, 1.3, 1.6), 1.9, (1.9, 2.1, 2.2, 2.4),( 2.5, 2.7, 3.0, 4.4), 4.7, (5.0,5.6, 6.2, 7.5)
It is clear that,
[tex]Q_1=1.9[/tex]
[tex]Q_3=4.7[/tex]
[tex]IQR=Q_3-Q_1[/tex]
[tex]IQR=4.7-1.9[/tex]
[tex]IQR=2.8[/tex]
Now,
[tex]Interval=[Q_1-1.5IQR,Q_3+1.5IQR][/tex]
[tex]Interval=[1.9-1.5(2.8),4.7+1.5(2.8)][/tex]
[tex]Interval=[-2.3,8.9][/tex]
All the data values lies in the interval [-2.3,8.9]. Therefore, the given data set have no outliers.
PLS HELP ME WITH THIS!
Answer:
second one (b)
Step-by-step explanation:
The nickel (at the bottom) is increasing at a steady pace. We know this because the line is going in a linear motion (meaning in a straight line). And it is increasing by a steady number (the gradient is 5 grams).
Which scenario is modeled by the equation (x) (0.6) = 86 dollars and 46 cents? A picnic table is on sale for 60 percent off. The sale price of the picnic table is x, $144.10. A picnic table is on sale for 40 percent off. The sale price of the picnic table is x, $144.10 A picnic table is on sale for 60 percent off. The original price of the picnic table is x, $144.10. A picnic table is on sale for 40 percent off. The original price of the picnic table is x, $144.10
The equation of scenario is the right response is that the picnic table is worth $144.
What do equations mean in math?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
What exactly is a ratio?
A percentage is a component of a total amount, and the three-step rule is used to relate the measurements.
Using the value provided,
0.6x = 86.46
The price of a picnic table has been reduced by 40%. The picnic table cost x, or $144.10, upon launch.
When a product has a 40% discount applied,
100 - 40% = 60% of the original price x is paid;
as a result,
the price is expressed as: 0.6x.
The formula for this issue is
0.6x = 86.46
x = 86.46/0.6
x = 144.1.
Here, choice D is the best one.
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Its not C! Its d look at the screenshot
What is the percent change from 62 to 9? Round your answer to the nearest tenth.
Answer:
85.48 I think I hope this helps
