Expand using identities:
(i) (2x- 5y)²
(ii) (11a + 2) (11a – 2)
(iii) (7m + 3) (7m + 3)
Answer:
Step-by-step explanation:
(2x-5y)^2
(2x-5y)(2x-5y)
4x^2-10xy-10xy+25y^2
4x^2-20xy+25y^2
------------------------------
(11a+2)(11a-2)
121a^2+22a-22a-4
121a^2-4
------------------------------
(7m+3)(7m+3)
49m^2+21m+21m+9
49m^2+42m+9
Please help solve this
Answer:
LCD= x²- 81
Step-by-step explanation:
x²-81 is difference of two squares
a²-b²= (a+b)(a-b)
x²- 81= (x+9)(x-9)
denominators, (x-9) and (x+9)(x-9)
x-9 is common in both denominators
x-9|(x-9)|(x+9)(x-9)
x+9| 1 | x+9
| 1 | 1
therefore the LCD= (x-9)(x+9)
simplifying= x²- 81
If sinA=1/7, sinB=1/3.
Prove: cos2A=sin4A
Answer:
Question!! What is the relationship between A and B?
Step-by-step explanation:
A 6pint bucket of paint costs $28.44 what is the price per cup
Answer:
I think there answer is 4.74
Step-by-step explanation:
so you divide
[tex]6 \div 28.44 \: and \: you \: get \: answer[/tex]
This one is the one I need help on plz
Answer:
p=5/2 q=3/4
Step-by-step explanation:
-4p+7q=-19/4
-12p+35q=-15/4
get rid of the value p
(-3)(-4p+7q=-19/4)
-12p+35q=-15/4 =
12p-21q=57/4
-12p+35q=-15/4 =
14q=21/2
q= 21/2 /14
q=3/4
substitute q=3/4 into an equation 1 to find p
-4p+7q=-19/4
-4p+7(3/4)=-19/4
-4p+21/4=-19/4
-4p=-19/4-21/4
-4p=-10
p=-10/-4
p=5/2
Pls look at photos I’ll give 30 points
A company has two large computers. The slower computer can send all the company’s email in 50 minutes. The faster computer can complete the same job in 30 minutes. If both computers are working together, how long will it take them to do the job?
Answer:
18 minutes and 45 seconds
Step-by-step explanation:
[tex]\frac{1}{50}[/tex] + [tex]\frac{1}{30}[/tex] = [tex]\frac{3+5}{150}[/tex] = [tex]\frac{4}{75}[/tex]
1 ÷ [tex]\frac{4}{75}[/tex] = [tex]\frac{75}{4}[/tex] = 18' 45''
Answer:
18.75 minutes If A and B work together
Pls help! The question is: You are riding a bike up Elm Trail towards Deer trail. You plan to make a left turn on to Deer trail. What is the angle measure of the turn?
Answer:
110
Step-by-step explanation:
there is a angle of 70 in the other side is there is a total of 180 and subtract 70 you get 110
Answer:
110
Step-by-step explanation:
Write an equation in point-stope form for the line through the given point with the given slope.
Answer:
y-3=6(x-8)
Step-by-step explanation:
given that the slope is 6 and the line passes through (8,3), we can use the formula y-y1=m(x-x1), where (x1, y1) is the ordered pair and m is the slope. we can plug the given values in from there. m=6, x1=8, and y1=3. hope this helps!
Kanica wants to earn at least $750 this week in commission. What is the minimum amount she needs to sell in order to earn $750 if she earns a 7.5% commission on everything she sells? Round your answer to the nearest dollar if necessary.
Answer:
Total earning Kanica wants to make is at least $750
The commission she gets is 7.5 % Therefore to find the sales she should make we use :
(Total earnings * 100% )/ Commission
= (100 * 750) / 7.5
=75000/7.5
= $ 10,000
The minimum amount she needs to sell in order to earn $750 if she earns a 7.5% commission on everything she sells is $10,000.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
Kanica wants to earn at least $750 this week in commission.
Let x be the minimum amount she needs to sell in order to earn $750 if she earns a 7.5% commission on everything she sells.
The value of x can be found as follows:
x = 750/(7.5%)
x = (750/7.5)x100
x = $10,000
Thus, the minimum amount she needs to sell in order to earn $750 if she earns a 7.5% commission on everything she sells is $10,000.
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Andrew and Kate have $30 to spend on dinner, tax, and gratuity at Mo’s Restaurant. Tax is 6%, and they will give a 15% tip on the total bill after taxes. Their dinner costs $21.00. Which statement correctly explains whether Andrew and Kate have enough money to pay their bill?
Yes. They have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
No. They do not have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
No. They do not have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
Answer:
ANSWER: Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
Step-by-step explanation:
convert all % to decimals
0.06 x 21 = $1.26 tax
0.15 x 21 = $3.15 tip
1.26 + 3.15 = $4.41 added payment
4.41 + 21 = = $25.41 total bill
(yes i am aware i did the method differently since i learned it another way but the answer should till be correct.)
Answer:
Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents. Otherwise B.
Find the least common denominator for these fractions.
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
I need help solving this problem
Solve for X
Answer:
x = -7
Step-by-step explanation:
The 2 horizontal lines are parallel as given ion the problem.
The x + 97 angle is congruent to the right angle.
x + 97 = 90
x = -7
Which function results in f(x)=13?
Answer:
The answer is B
Step-by-step explanation:
plug 2 into x to see
A.
x^2 + 8
2^2 + 8
4 + 8 = 12
B.
3x^2 + 1
3(2)^2 + 1
3(4) + 1
12 + 1 = 13
C.
2x^3 + 5
2(2)^3 + 5
2(8) + 5
16 + 5 = 21
D.
x^2 + x
2^2 + 2
4 + 2 = 6
Type the correct answer in each box.
The slope of the line shown in the graph is ___, and the y-intercept of the line is ___.
Answer:
The slope (or gradient) is 0.6 and the y-intercept is 6.
in a bag there are only red counters blue and white counters one is taken from the bag the table shows the probability of getting a red counter red red d 0.35 the number of white is 2:3 what’s probability of getting blue and white counter
The probability of getting blue and white counter is 0.2275
Probability is the likelihood or chance that an event will occur
Probability = n(E)/n(S)
n(E) is the number of eventsn(S) is the sample spaceIf the the probability of getting a red counter red red 0.35, the probability of getting a blue will be 0.65
Pr(getting blue and white counter) = 0.35 * 0.65
Pr(getting blue and white counter) = 0.2275
Hence the probability of getting blue and white counter is 0.2275
Learn more on probability here: https://brainly.com/question/24756209
Pls help stuck on it
Answer:
4,-1
Step-by-step explanation:
Please like!♥
3 poil The ratio of the number of Taylor's CDs to the number of Dave's CDs is 7 to 9. Taylor has 84 CDs. Together how many CD's do they have?
Answer:
192
Step-by-step explanation:
The 7 part of the ratio relates to Taylor's 84 CDs
Divide the amount by 7 to find the value of one part of the ratio.
84 ÷ 7 = 12 ← value of 1 part of the ratio, then
9 parts = 9 × 12 = 108 ← number of CDs Dave has
Total CDs = 84 + 108 = 192
There are 30 cats and 50 dogs at the local animal shelter. Of these animals, 15% were adopted last week. How many animals were adopted?
Need help finding a domain
Answer:
the domains is
[tex] - 10 < x \leqslant 10[/tex]
7/8 = ?/48
A. 1
B. 42
C. 6
D. 13
7/8= B. 42/48
#HOPE THIS HELP
A bakery charges 15 for delivery plus 3 per cupcake. Let C represents the number of cupcakes. Which expression can be used to find the cost of a number of cupcakes, including the delivery?
A. 15c+3
B. 15c
C. 3c+15
D, 12c
Answer:
The answer is A.15c+3
Step-by-step explanation:
Which equation matches the graph?
Answer:
i think 4x+3y = -24 is answer
NO LINKS
A jaguar can run 40 miles per hour while a giraffe can run 32 per mile if they both run for 4 hours how much farther will the jaguar run? Show TWO ways to write the expression or equation and solve
Answer:
(40*4)-(32*4)=32
160-128=32
Step-by-step explanation:
If ∆ ≅ ∆, = 5 − 4 and = 8 − 10, find XZ.
Please show work!
Answer:
6
Step-by-step explanation:
Two triangles are congruent so we can use the similarity ratio to find the length of XZ
8x - 10 = 5x - 4 export like terms to the same side of equation
8x - 5x = 10 - 4
3x = 6 divide both sides by 3
x = 2 and so the length of XZ is 8*2 - 10 = 6
Sam is building a fence around his circular garden with a diameter of 8 ft. How long is the fence?
Answer:
25.13ft
Step-by-step explanation:
The length of the fence will be the circumference.
[tex]C=2*pi*r=2*pi*8/2=8pi=25.13ft[/tex]
Solve it (Easy question) :
[tex]\lim_{x \rightarrow 1} \cfrac{x {}^{2} - 25 }{x {}^{2} - 5 }[/tex]
The solution to the limit expression [tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} [/tex] is 6
The limit expression is given as:
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5}[/tex]
Express 25 as 5^2
[tex] \lim_{x \to 1} \frac{x^2 - 5^2}{x - 5}[/tex]
Express the numerator as the difference of two squares
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = \lim_{x \to 1} \frac{(x - 5)(x +5)}{x - 5}[/tex]
Evaluate the quotient
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = \lim_{x \to 1} (x +5)[/tex]
Remove bracket
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = \lim_{x \to 1} x +5\\ [/tex]
Substitute 1 for x
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = 1 +5[/tex]
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = 6[/tex]
Hence, the solution to the limit expression [tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} [/tex] is 6
Read more about calculus at:
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45
899
769
459
X?
Use the exterior angle sum to find the value of x in the diagram
above.
A.72
B.105
C.108
D.435
Answer:d
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Help help help math math
Answer:
It is an example of a nonlinear function.
Step-by-step explanation:
Use a graphing calculator or graph the points and try to make a line, as it will not work
1 decigram (dg) = ______ grams (g)?
A. 0.01
B. 0.1
C. 0.001
D. 10
Answer:
B) 0.1
Step-by-step explanation:
The prefix "deci-" means "tenth", so a decigram would be one-tenth of a gram (or 0.1 grams). Therefore, option B is correct.