Answer:
[tex]-a^2+ab[/tex]
Step-by-step explanation:
So the sentence can be written like this:
[tex]((a^2-b^2)+(a^2+ab+3b^2))-((a^2-2ab+b^2)+(2a^2+2ab+b^2))[/tex]
Now you can combine like terms in the first part of the equation and the second part:
[tex]((a^2+a^2)+ab+(-b^2+3b^2))-((a^2+2a^2)+(-2ab+2ab)+(b^2+b^2))[/tex]
Which leaves you with:
[tex](2a^2+ab+2b^2)-(3a^2+2b^2)[/tex]
Now distribute the negative to the second part of the equation:
[tex]2a^2 + ab + 2b^2-3a^2-2b^2[/tex]
Combine like terms again:
[tex](2a^2-3a^2)+ab+(2b^2-2b^2)[/tex]
Which becomes:
[tex]-a^2+ab[/tex]
Answer:
- a² + ab
Step-by-step explanation:
summing the first 2 expressions
a² - 2ab + b² + 2a² + 2ab + b² ← collect like terms
= 3a² + 2b² → (1)
summing the next 2 expressions
a² - b² + a² + ab + 3b² ← collect like terms
= 2a² + ab + 2b² → (2)
Subtracting (1) from (2)
2a² + ab + 2b² - (3a² + 2b²) ← distribute parenthesis by - 1
= 2a² + ab + 2b² - 3a² - 2b² ← collect like terms
= - a² + ab
An alternating current i in amperes in a certain circuit can be found after t seconds using i= 3 (sin 150)t , where 150 is a degree measure. Rewrite the formula in terms of sum of two angle measures.
Group of answer choices
a 3[sin (130 + 15)] t
b 3[sin (45 + 45)] t
c 3[sin (180 - 45)] t
d 3[sin (90 + 60)] t
The formula in terms of sum of two angle measures is c 3[sin(90 + 60)]t
Since the alternating current i in amperes after t seconds is i = 3(sin150)t.
We want to write 150 as the sum of two angles measures.
So, 150 = 90 + 60.
So, the current i = 3(sin150)t
i = 3[sin(90 + 60)]t
So, the formula in terms of sum of two angle measures is c 3[sin(90 + 60)]t
Learn more about sum of two angles here:
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helppp please needed before tomorrow!!!!!!!!!!
Answer:
The function is 200+50t (t= # of months)
Step-by-step explanation:
The best way to do this is to look at the question, and see no matter what, we have to pay 200 dollars to start. After which, they charge 50 bucks a month. Knowing this, we can make a function using f(x). Let C(t)= cost. Included is that graph. So for these questions, we need to see that there is an independent and a dependent variable, and we need to see that cost is affected by time. Hope this helps.
How to solve y=4x+1 y=- x=-2
Christian buys a two-gallon bottle of juice for $18.16.
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 fluid ounce
How many fluid ounces of juice did Christian buy?
Answer:
256 fluid ounces
Step-by-step explanation:
2 gallons = 8 quarts
8 quarts = 16 pints
16 pints = 32 cups
32 cups = 256 fluid ounces
Help: Justify why one relation is a function and why the other is not. Relation 1:
(1,2) (2,4) (3,6) (4,8)
Relation 2: (1, 3), (4, 2), (7, 1), (4,
Relation 1 is a function because we don't have any repeated x values. Each input goes to exactly one output.
On the other hand, relation 2 is not a function because x = 4 repeats itself. The input x = 4 leads to more than one output.
5(2x-2)=8x: what is the value of x?
Answer:
5
Step-by-step explanation:
First, you multiply the 5 by 2x to get 10x, then multiply the 5 by -2 to get -10. After that, you should get:
10x-10=8x
And here’s how you find x:
10x-10=8x
-10x -10x
-10x=-2x
/-2x /-2x
x=5
Write the equation of the line in fully simplifipe-intercept form.
12
11
10
9
8
7
6
5
4
3
2
1
-12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1 2 3 4 7 8 9 10 11 12
-2
-3
-4
-5
-6
-7
-O
-9
-10
-11
-12
Answer: Y = Z!
Step-by-step explanation: Hopes This Helps!
solve: -4(-6x-3)+4x=3
Answer:
x=-9/28
Step-by-step explanation:
-4(-6x-3)+4x=3
24x+12+4x=3
28x+12=3
28x=-9
x=-9/28
Answer:
x = -9/28
Step-by-step explanation:
-4(-6x - 3) + 4x = 3=> 24x + 12 + 4x = 3=> 28x + 12 = 3=> 28x = 3 - 12=> 28x = -9=> x = -9/28Therefore, the solution is 'x = -9/28'.
Hoped this helped.
Shira’s Shoes sold 875,000 pairs of sandals in June, which was 70% of the total number of shoes sold. How many shoes did the company sell in June? Analyze Emily’s calculations. What error did she make? StartFraction part Over whole EndFraction = StartFraction 70 times 8,750 Over 100 times 8,750 EndFraction = StartFraction 612,500 Over 875,000 EndFraction.
Answer:
1,250,000
Step-by-step explanation:
875,000 sandals account for 70% of the total pairs sold.
875,000/7 = 125,000
125,000 accounts for 10%.
125,000 * 10 = 1,250,000.
1,250,000 accounts for 100%.
The company sells pairs of shoes in June is 612,500
In Emily's calculation the error she makes in the second last steps she forgets to write the term 70.
Given that,
Shiras Shoes sold 875,000 pairs of sandals in June, which was 70% of the total number of shoes sold.
We have to determine,
How many shoes did the company sell in June? Analyze Emily's calculations. What error did she make?
According to the question,
Shiras Shoes sold 875,000 pairs of sandals in June, which was 70% of the total number of shoes sold.
Then,
The shoes did the company sell in June is,
[tex]= \dfrac{70} {100}\times 875,000\\\\=8750 \times 70 \\\\= 612,500[/tex]
Hence, The company's sells pair of shoes in June is 612,500.
For more details refer to the link given below.
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Jodie made a New Year's resolution to learn how to play the violin. She bought an
Introduction to Violin class pack from the Noble Notes music shop, which covers the cost of
12 violin lessons. She also paid $25 to rent a violin. In all, Jodie paid $385. How much does
each violin lesson cost?
Answer:
$30
Step-by-step explanation:
If x is the cost of a lesson, the total cost of Jodie's purchase is ...
cost of lessons + rental cost = total cost
12x + 25 = 385
12x = 360 . . . . . . . subtract 25
x = 30 . . . . . . . . . . divide by 12
Each violin lesson costs $30.
1. 18 is 30% off what number
2. 10 is 25% of _______
3. 54 is 9% of _______
4. 45 is 75% of _______
Lorinda can walk 1.8 miles in 30 minutes.
Which proportion can be used to find how many miles she can walk in 45 minutes?
Answer:
B. (1.8)/(30) = (x)/(45)
The diameter of a circle is 14 in. Find its area in terms of
π
π.
Answer:
49π in²
Step-by-step explanation:
Step 1: Find the radius.
To find radius given diameter, just divide the diameter by 2: [tex]\frac{14}{2}[/tex] 14/2 = 7, so the radius is 7.Step 2: Apply area of circle formula.
The formula to find the area of a circle is πr², where r = radius.Now, plug in the value of r: π(11)².Step 3: Simplify.
π(11)²π(121)121πSince we're finding the area in terms of pi, we don't have to multiply 121 by pi, so the answer is 49π in².
Order the expressions
Answer:
1. 3^4 x 3^3 < 3^12
2. 3^3 x 4^3 < 12^4
3. 3^4 x 4^3 > 12^3
Please help me solve this problem ASAP
In your own words, describe how to find the GCF for a set of numbers. Use the numbers 24 and 32 as an example. (PLS HELP ILL GIVE 100 points and brainlest also no links please, thanks)
Answer:
8Step-by-step explanation:
You need to factorize each number in the set:
24 = 2*2*2*332 = 2*2*2*2*2Common factors of both numbers are:
2*2*2 = 8GCF(24, 32) = 8
Trisha is saving $25 a week to go on a vacation. She determines that she will need $350 for the vacation,but she also wants to have over $100 left in her bank account after the trip. How many weeks should Trisha save?
What is the percent of change from 90 to 18?
I think it decreases 5%
Answer:
80%
Step-by-step explanation:
Nine would equal ten percent, so we double that to get twenty percent, so 18 is twenty percent. Therefore we can determine that it is a 80% decrease.
undefined slope through (74, 25)
slope-intercept form:
y=25
piont-slope form:
y-25 =0×(x-74)
The formula is:
y-y1=m9(x-x1)
2.
If you were to flip a coin 20 times, what is the probability
you would get at most 13 heads?
a) .9423
b) .1316
c) .0577
d) .0739
Answer:
A) .9423
Step-by-step explanation:
The chance of getting at most 13 heads is 0.9423
TACOS Orlando spent $18 at a taco truck. He ordered 4 tacos. Write and solve an equation to
find the cost of each taco.
Answer:
$4.5 for one taco
Step-by-step explanation:
18 divided by 4
The division is a process of splitting a specific amount into equal parts.
The equation to find the cost of each taco truck is 4x = 18.
The cost of each taco truck is $4.5.
What is division?The division is a process of splitting a specific amount into equal parts.
Example:
5 apples cost $60.
Cost of each apple = 60/5 = $12.
We have,
Total amount spend = $18
Number of taco trucks where $18 was spent = 4
Let the cost of each taco truck = x
The equation to find the cost of each taco truck can be written as:
4x = 18
We need to find x.
x = 18/4
x = $4.5
Thus the cost of each taco truck is $4.5.
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#SPJ5
my Christmas present to you
Answer:
thankss
Step-by-step explanation:
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
A
Step-by-step explanation:
For every additional goodie bag, you're adding the original number to itself and so on...
Example:
1 Goodie bag = Candy: 2 Toys: 3
2 Goodie bags = Candy: 4 Toys: 6
3 Goodie bag = Candy: 6 Toys: 9
plsssssssss answer it
Answer:
Answer is -7
Step-by-step explanation:
coz if -2 equal only
- answer so answer is
-7
solve one step equation
-8 + x = 10
Answer:
x=18
Step-by-step explanation:
10-(-8)=18
Pls help im am struggling i will give brainliest !!!!!!!!!
They are extremely similar but a(x) has a greater y-intercept!
If you look at the y axis, a(x) simply intercept it higher than b(x)
Hope this helps!
Answer:
a(x)
because the greater is a(x)
is this correct ? if not what’s the correct answer?
Answer:
correct
Step-by-step explanation:
Corresponding vertices are listed in the same order. In BCDE, segment DE is listed last. In OPQR, the segment listed last is QR. If the figures are congruent, then ...
DE ≅ QR
which expression shows the correct way of solve for the length of GH
explain why 256 + 4 is equivalent to (200 + 4) + (40+4) + (164)
The expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.
Given the expression 256 + 4. This can be solved using the partial sum expressed as:
256 + 4
256 + 4
= (200 + 40 + 16) + 4
According to the commutative property, A+B = B+A
The arrangement does not affect the result. Hence;
(200 + 40 + 16) + 4 = 4 + (200 + 40 + 16)Using the distributive law;
4 +(200 + 40 + 16) = (200 + 4) + (40 + 4) + (16 + 4)
Hence the expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.
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Lillian read 43 pages in 1 1/3 hours. At what rate, in pages per hour, did she read?
Answer:
hi
Step-by-step explanation:
Answer:
She reads one page in 1.40