Answer:
9x² + 16y² - 24xy
Step-by-step explanation:
(3x - 4y)²
⇒ (3x)² + (4y)² - 2 (3x) (4y) {(a - b)² = a² + b² - 2ab}
⇒ 3²x² + 4²y² - 2 (12xy)
⇒ 9x² + 16y² - 24xy
Find the value of a3 + 3b2 when a = 2 and b = -2
Given:
a = 2 and b = -2.
To find:
The value of [tex]a^3+3b^2[/tex].
Solution:
We need to find the value of expression [tex]a^3+3b^2[/tex] at a = 2 and b = -2.
Substituting a = 2 and b=-2 in [tex]a^3+3b^2[/tex], we get
[tex](2)^3+3(-2)^2[/tex]
[tex]=8+3(4)[/tex]
[tex]=8+12[/tex]
[tex]=20[/tex]
Therefore, the value of expression [tex]a^3+3b^2[/tex] at a = 2 and b = -2 is 20.
In one week the price of gasoline rose from $1.71 to $2.15 at BJs. What is the percent of change?
Answer:
25.731% increase
Step-by-step explanation:
(V2−V1)|V1|×100
=(2.15−1.71)|1.71|×100
=0.441.71×100
=0.25731×100
=25.731%change
=25.731%increase
Answer:
.44=44%
Step-by-step explanation:
just subtract both numbers and you get how much they added but then again it depends so my answer my not be right but give it a try if you like
Help I need answers plzplzplz
Answer:
(2,0) , (4,-20) and (-1,-1)
Step-by-step explanation:
Mrs. Johnson borrows $1400 with an interest rate of 5.5%. How much interest does she pay if she pays off the debt in 8 months?
Answer:
$616 in debt
Step-by-step explanation:
5.5% is equal to 0.055 so you multiply that by $1400 to get $77.
$77 is the interest rate.
You then multiply $77 by 8 months.
2(x + 14) = 40
Can you please do all the steps of solving this?
Ex:
8(7+1)3=192
8 x (7+1) x 3
8
8x8=64
64x3=192
total=192
Given:
The equation is
[tex]2(x+14)=40[/tex]
To find:
The solution of the given equation.
Solution:
We have,
[tex]2(x+14)=40[/tex]
Using distributive property, we get
[tex]2(x)+2(14)=40[/tex]
[tex]2x+28=40[/tex]
Subtracting 28 from both sides.
[tex]2x=40-28[/tex]
[tex]2x=12[/tex]
On dividing both sides by 2, we get
[tex]x=6[/tex]
Therefore, the solution of the given equation is x = 6.
question;
3^n-3^n-1 ÷3^n+1+3^n
plz full explaination !if I got answer then brainleast if I get nonsense answers I will report !
plz fast!!!!!
Answer:
okay so I am assuming we are dividing okay so here is how we will do it
here are the top and bottom values written more easily
3^n -3^n-1
3^n+1 +3^n
so first we can cancel out the 3^n values then get left with this
3^n-1
3^n+1
now it depends on the instructions but you can leave it like this or you can subtract their powers to get
3^n-2
Step-by-step explanation:
Evaluate the expression 2n - 6 if n = 16.
Answer:
[tex]26[/tex]
Step-by-step explanation:
[tex]2n-6[/tex]
Given that:
[tex]n=16[/tex]
To evaluate the expression, we must simply substitute the given value of [tex]n[/tex], which is [tex]16[/tex], for [tex]n[/tex]:
[tex]2(16)-6[/tex]
Multiply:
[tex]32-6[/tex]
Subtract:
[tex]26[/tex]
-
To check your work, simply set the given expression equal to our solution, [tex]26[/tex]:
[tex]2n-6=26[/tex]
Add [tex]6[/tex] to both sides of the equation:
[tex]2n=32[/tex]
Divide both sides of the equation by the coefficient of [tex]n[/tex], which is [tex]2[/tex]:
[tex]n=16[/tex]
Since it matches the given value of [tex]n[/tex], our solution is correct!
Answer:
26
Step-by-step explanation:
This is the answer because:
1) First, we have to substitue the value that stand for n into the equation:
2(16) - 6
2) Next, we have to follow the order of operations in order to find the answer:
1. 2 x 16 = 32
2. 32 - 6 = 26
Therefore, the answer is 26.
Hope this helps! :D
a $320 dollar suit is marked down by 30%, find the sales price
Answer:
$224
Step-by-step explanation:
320(0.3) =96
320-96 = 224
Answer:
The answer is $96.
Step-by-step explanation:
Use friendly precnents and do 320/10=32 then you do 20/10 3 times and then you add them together and you get the answer.
Which shape has four congruent sides and two sets of parallel sides?
quadrilateral
rectangle
parallelogram
rhombus
Answer:
The other prson is right. Its parallelogram
Step-by-step explanation:
Is (3, 1) a solution to the equation y = 3x?
Answer:
no
Step-by-step explanation:
it does not fall on the line
Ariana has a dimes and y nickels. She has at most 12 coins worth a minimum of
$0.85 combined. Solve this system of inequalities graphically and determine one
possible solution.
PLEASE HELP
Answer:
Solution graph is attached in the answer area.
And one possible solution is (9, 2).
9 number of dimes and 2 number of nickels.
Step-by-step explanation:
Given that:
Number of dimes = [tex]a[/tex]
Number of nickels = [tex]y[/tex]
Total number of coins are at most 12 OR total number of coins are lesser than or equal to 12.
i.e. the inequality can be written as:
[tex]a+y \leq 12[/tex] ...... (1)
One dime is worth 10 cents or $0.10.
[tex]a[/tex] number of dimes are worth $0.10[tex]a[/tex].
One nickel is worth 5 cents or $0.05.
[tex]y[/tex] number of nickels are worth $0.05[tex]y[/tex].
Second inequality can be written as:
[tex]0.10a + 0.05 \ge 0.85[/tex]
OR
[tex]2a+y\ge17[/tex] ...... (2)
[tex]a \ge 0, y \ge 0[/tex] ...... (3)
When we graphically represent the inequalities, the graph attached in the answer area represents the answer.
One solution is (9, 2).
9 number of dimes and 2 number of nickels.
40 is what percent of 160?
Answer:
25
Step-by-step explanation:
percentage calculator 40 is what percent of 160=25;)
Answer:
40/100×160
Step-by-step explanation:
2/5×160
320/5
64
Which point on the graph represents they-intercept
Answer: W is the correct answer just for clarification.
Step-by-step explanation:
ahh help A, B, and C please
Answer:
a= -11
b= -1/5
c= 3 1/8
Step-by-step explanation:
a- a negative plus a negative always equal a negative
Answer:
a. -11
b. -1/5
c. -25/8
Step-by-step explanation:
a. -5 - 6
= -11
b. 2/5 - 3/5
= 1/5
c. -4(1/4) - ( 1(1/8))
= -17/4 - 9/8
= -34/8 - 9/8
= -25/8
Slope of a line with one point at (2,1) and another at (5,3)
Answer:
Step by step in image below. Hope this helps
Step-by-step explanation:
Write an expression for the area of this rectangle, multiplying out your answer
(x+3) x (x+2)
Step-by-step explanation:
it should be *(x+3) x (x+2)* because area of rectangle = length x breadth
ANYONE can help me out pleaseee
The number is scientific notation is written as a decimal. Click on the position of the decimal?
9.04 x 10 ^1
00009040000
Answer:
.00009494949
Step-by-step explanation:
this may be wrong
How do I find out what f(x) is if the graph defines h(x)
Answer:
f(x) = [tex]\frac{-h(x) + 7}{4}[/tex]
Step-by-step explanation:
h(x) is defined by the formula,
h(x) = -4f(x) + 7
If the graph attached is of the function 'h' and we have to find the function 'f',
h(x) - 7 = -4f(x)
4.f(x) = -h(x) + 7
f(x) = [tex]\frac{-h(x) + 7}{4}[/tex]
Therefore, function 'f' will be defined by,
f(x) = [tex]\frac{-h(x) + 7}{4}[/tex]
Best answer gets brainliest hurry ASAP
Answer:x=18
Step-by-step explanation:
x=\frac{36}{2}
what was the scale factor? Show how you found your answer.
A(0,0) A’ (1.4)
B (4,0) B’ (9.4)
C (0.3) C’ (1.10)
PLEASE HELP
Answer:
2
Step-by-step explanation:
The scale factor is two since it's 2 times bigger than the actual figure.
Proof:
A to B = 4 units
A' to B' = 8 units
A to C = 3 units
A' to C' = 6 units
See how it keeps multiplying by 2.
4 x 2 = 8
3 x 2 = 6.
Ace Carlos
How does the percent equation relate proportional quantities?
Answer:
Use cross product to determine if the two ratios form a proportion. Here we can see that 2/16 and 5/40 are proportions since their cross products are equal. Percent means hundredths or per hundred and is written with the symbol, %. Percent is a ratio were we compare numbers to 100 which means that 1% is 1/100.
Step-by-step explanation:
Find 30% of 320. Explain all your work
Andre led his baseball league in home runs last year. This year he hit 25% fewer home runs than he did last year.
If y represents the number of home runs Andre hit last year, which two of the following expressions can be used to calculate the number of home runs he hit this year?
Answer:
0.25y
Step-by-step explanation:
Joshua is making spaghetti and meatballs for dinner for his friends. Joshua makes 30 meatballs. If Joshua wants 5 meatballs on each plate of spaghetti, how many plates can Joshua make? Write an equation to represent the scenario, and solve.
Answer:
[tex]x = 6[/tex]
Step-by-step explanation:
Given
Let y represent the number of meatballs in total and x represents the number of plates.
[tex]y = 30[/tex]
[tex]Rate = 5[/tex] per plate
Required
Determine the value of x
To solve for x, we make use of the following expression.
[tex]y = Rate * x[/tex]
Substitute values for y and Rate
[tex]30 = 5 * x[/tex]
[tex]30 = 5 x[/tex]
Divide through by 5
[tex]30/5 = 5 x/5[/tex]
[tex]6 = x[/tex]
[tex]x = 6[/tex]
Hence, number of plates is 6
I need to drag the AB,BC,CA or the numbers to the right place pls help
Answer:
I think option 3 hope it helps
Step-by-step explanation:
I will give you brainlest plzzzz helppp!!!
Answer:
∠GEF = 25
Step-by-step explanation:
Here, we want to find the value of the marked angle
Please check the attachment for the diagrammatic representation of the triangle
Mathematically, the sum of opposite interior angles equals the exterior angle
We can have this sum as follows;
∠EFG + ∠GEF = ∠FGH
Thus;
2x + 1 + x + 19 = 6x + 2
3x + 20 = 6x + 2
6x-3x = 20-2
3x = 18
x = 18/3
x = 6
Now , substitute x into the ∠GEF
That will be;
6 + 19 = 25
Tyler has a baseball bat that weighs 44 ounces Find it’s weight in kilograms
Answer:
1.25 (2 decimal places)
Step-by-step explanation:
Divide the ounces by 35.274
Write an equation of the line in slope-intercept form.
f(3)=-2, f(0)=1
Answer:
The equation of the line in slope-intercept form is y = -x + 1
Step-by-step explanation:
The slope-intercept form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-intercept ⇒ value y at x = 0The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line∵ f(x) = y ⇒ is the function of the set of ordered pairs (x, y)
∴ f(3) = -2 is the point (3, -2)
∴ f(0) = 1 is the point (0, 1)
∴ x1 = 3 and y1 = -2
∴ x2 = 0 and y2 = 1
→ Substitute them in the rule of the slope to find it
∵ m = [tex]\frac{1--2}{0-3}[/tex] = [tex]\frac{1+2}{-3}[/tex] = [tex]\frac{3}{-3}[/tex]
∴ m = -1
→ Substitute it in the form of the equation above
∵ y = -1(x) + b
∴ y = -x + b
∵ b is the value of y at x = 0
∵ at x = 0, y = 1
∴ b = 1
∴ y = -x + 1
∴ The equation of the line in slope-intercept form is y = -x + 1
Alana has 2 1/4 bags of chocolate chips that she wants to use in 3 batches of chocolate chip cookies. How much of the chocolate chips will she use in each batch of cookies?
Answer:
1 1/3 bags of chocolate chips
Step-by-step explanation:
If Alana has 2 1/4 bags of chocolate chips that she wants to use in 3 batches of chocolate chip cookies, then we can say;
2 1/4 bags of cookies = 3 batches of chips
To determine how much of the chocolate chips will she use in each batch of cookies, we can say;
1 bag of cookies = x batches of chips
Equating both expressions
2 1/4 bags of cookies = 3 batches of chips
1 bag of cookies = x batches of chips
Cross multiply
2 1/4 x = 3
9/4 x = 3
9x/4 = 3
9x = 12
x = 12/9
x = 4/3
x = 1 1/3
Hence Alana will need 1 1/3 bags of chocolate chips
which is not true about the solution to the equation? x+2.27=1.53
Answer:
x = - 0.74
Step-by-step explanation: