Answer:
(4x + 3)(4x - 3)
Step-by-step explanation:
I am going to assume by 16x2 -9 you mean 16x² - 9
The factorization means the factors are "broken" up. If you multiply them together, we will reach 16x² - 9 again.
First, we can look at factors of 9. This gives us 1, 3, and 9. We will use 3. Since the nine is negative, one will be + 3 and one will be - 3 since a negative times a positive is a negative.
( + 3)( - 3)
Last we can factor the 16x² portion. I know that 4 times 4 is 16, and 4x times 4x is 16x².
(4x + 3)(4x - 3)
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
A field is a rectangle with a perimeter of 960 feet. The length is 400 feet more than the width. Find the width and length of the rectangular field.
I'm almost absolutely positive the width is 40 and the length is 440
URGENT PLEASE HELP
Assume the graph of a function of the form y = acos(k(x-b)) is given below.
Which of the following are possible values for a, k, and b?
-4
F3
-
he
T
이
3x
4
4
2.
-1
12
O A. a = 4, k= 2, and b = -
4
O B. a = 2, k = 4, and b = ?
4
O c. a = 4, k = 2, and b =
4
O D. a = 4, k = 2, and b = ?
4
The possible values of for a, k, and b from the graph of the function will be D. a=4, k=2, b= pi/4.
What is a function?A function simply means a relation between the set of inputs and the outputs.
A function from set X to set Y assigns each element of X to Y. In this case, the set X is the domain while the set Y is the codomain.
From the graph attached, it can be seen that the values of for a, k, and b from the graph of the function will be a=4, k=2, b= pi/4.
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Using the unpaid balance method, find the current months finance charge on a credit card account having the following transactions.
Last month’s balance: $385
Last payment: $250
Annual interest rate: 21%
Purchases: $303
Returns: $158
(It would be great if you could tell me how to use the formula I=Prt where previous months balance + finance charge + purchases made - returns - payments)
Answer:
$5.02
Step-by-step explanation:
The unpaid balance method is a common method used by credit card companies to calculate finance charges. It determines the finance charge based on a portion of the previous balance you have not yet paid.
Equations to use:
[tex]\boxed{\begin{minipage}{9.7cm}\phantom{w}\\Periodic (monthly) rate = annual interest rate $\div$ 12\\\\Finance Charge = previous balance $\times$ periodic rate\\\\Unpaid Balance = previous balance + finance charge +\\\phantom{wwwwwwwwwww} new purchases - returns - payments\\\end{minipage}}[/tex]
The periodic rate is the interest rate charged over a certain number of time periods. The interest on a credit card is usually calculated monthly, so if the annual interest rate is 21%, then the periodic (monthly) rate is:
[tex]\text{Periodic Rate}=\dfrac{21\%}{12}=1.75\%=0.0175[/tex]
The unpaid balance is "last month's balance", which is $385.
Calculate the finance change by multiplying the previous balance (last month's balance) by the periodic rate:
[tex]\begin{aligned}\text{Finance change} &=\rm previous\; balance \times periodic\;rate \\&=\$385 \times 0.0175 \\&= \$6.7375\end{aligned}[/tex]
Calculate the unpaid balance by subtracting the returns and payments from the sum of the previous balance, finance charge and new purchases:
[tex]\begin{aligned}\rm Unpaid \; Balance &= \rm previous\; balance + finance\;charge +new \;purchases\\&\phantom{=w}\rm - returns - payments\\&= \$385 + \$6.7375 + \$303 - \$158 - \$250 \\&= \$286.7375\end{aligned}[/tex]
Finally, to calculate the current month's finance charge, multiply the unpaid balance by the periodic rate:
[tex]\begin{aligned}\text{Current month's finance charge}&=\rm unpaid \;balance\times periodic \;rate\\&=\$286.7375 \times 0.0175 \\&= \$5.02\; \text{(nearest cent)}\end{aligned}[/tex]
Therefore, the current month's finance charge is $5.02 to the nearest cent.
Evaluate each expression.
Answer:
Evaluate each expression:
Answer:
5 = 10
6 = 13
7 = 5
8 = 17
Step-by-step explanation:
5.
1: simplify
[tex]\sqrt{8^2+6^2}[/tex]
2: take both to power
[tex]\sqrt{64+36}[/tex]
3: sqrt
[tex]\sqrt{100} = 10[/tex]
6.
1: simplify
[tex]\sqrt{5^2+12^2}[/tex]
2: take both to power
[tex]\sqrt{25+144}[/tex]
3: sqrt
[tex]\sqrt{169} = 13[/tex]
7.
1: simplify
[tex]\sqrt{4^2+3^2}[/tex]
2: take both to power
[tex]\sqrt{16+9}[/tex]
3: sqrt
[tex]\sqrt{25} = 5[/tex]
8.
1: simplify
[tex]\sqrt{15^2+8^2}[/tex]
2: take both to power
[tex]\sqrt{225+64}[/tex]
3: sqrt
[tex]\sqrt{289} = 17[/tex]
please help me with rhis question
Answer:
He is correct!
Step-by-step explanation:
one quarter of 9 is 2.25 cause if u divide 9 by 2, you get 4.50 which is one half, so if you divide 4.50 by 2 you get 2.25 which is one quarter of 9
Two right triangles are proportional. The shortest leg of the small triangle is 4 in and the hypotenuse is 12 in. The shortest
leg of the large triangle 8 in. Find the length of the hypotenuse of the large triangle.
A.12
B.21
C.20
D.24
Answer:
D) 24
Step-by-step explanation:
scale factor is 2
since 4 x 2 is 8 then 12 x 2 is 24
can I have help pls
Answer:
1. b
2. a
3. a
Step-by-step explanation:
1. the answer is x=7
2 and 3 answer is x = R which isn't really a real solution
Answer: it is right same exact test i did
Find amount when principal is 7150 and rate is 5% time is 2.5 years
Answer:interest =p×r×t ÷100
Time = 21/2 -5/2
Interest = 7150×5×5/100×2
answer =1787.5
Amount = P-I
7150-17875/10
Answer = 5362.5
Step-by-step explanation:
sophia has 7m of ribbon to help decorate a room. she will cut pieces of ribbon that are each r inches long. (1in.=2.54cm) which expression can help find the number of pieces of ribbon that she will have
Step-by-step explanation:
1 m (meter) is 100 cm (centimeters).
so, 7 m is 700 cm.
each piece is r × 2.54 cm long (as every inch is 2.54 cm).
so,
number of pieces = 700 / (r × 2.54)
The number of species can find by expression is
700 / (r × 2.54)
We have given that
Sophia has 7 m of ribbon
she will cut pieces of ribbon that are each r inches long.
We have to calculate the number of pieces of ribbon that she will have
What is the value of 1 meter in cementer?
1 (meter) =100 (centimetres).........(1)
multiply both side by 7
7 m is 700 cm.
each piece is
r × 2.54 cm long ..................(as 1 inch is 2.54 cm).
so,
[tex]number of pieces = 700 / (2.54r)[/tex]
Therefore the number of species can find by expression is
700 / (r × 2.54)
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A 6 inch by 10 inch rectangle is dilated by a factor of 3. What is the area of the dilated
rectangle?
Answer:
Step-by-step explanation:
Dilated by a factor of three means that the two dimensions needed for the are are multiplied by 3.
width = 6*3 = 18
Length = 10 * 3 = 30
Area of dilated rectangle = 18*30 = 540 inches ^2
I really really need help pls
Answer:
(c) r units right
Step-by-step explanation:
The translation transformations are ...
g(x) = f(x -h) +k . . . . . . . shifts h units right and k units up
Your transformation has h=r and k=0, so the graph is shifted r units right and no units vertically.
_____
Additional comment
This in not terribly mysterious. Suppose you have f(1) = 6. This means the point (1, 6) is on the graph.
Now, suppose you transform this to ...
g(x) = f(x -2)
When the value of x is 3, the value of g(x) is f(3-2) = f(1) = 6. That means the point (3, 6) is on the graph of g(x).
It is the same as the point (1, 6) on the graph of f(x), but shifted 2 units to the right.
__
You can shift a function r units right by replacing x with (x-r), as we just discussed. You can shift a function u units up by replacing y with (y-u). When we write equations in "functional form", the "u" gets "moved."
y-u = f(x) . . . . . graph of f(x) shifted u units up
y = f(x) +u . . . . graph of f(x) shifted u units up. (u added to both sides of the above equation)
The function y = 2 • 1.5n models the value of a certain stock after n years. What is the recursive formula that models the situation?
Answer:
aₙ= 1.5aₙ₋₁ with a₁= 3
Step-by-step explanation:
recursive formula is represented by aₙ=b· aₙ₋₁
Simplify each and write it as a mix number
12/14
27/90
Step-by-step explanation:
Divide 12/14 by 2:
[tex]\frac{12 \div 2}{14 \div 2} =\frac{6}{7}[/tex]
Simplified. Can't be a mixed number, less than 1.
Divide 27/90 by 9:
[tex]\frac{27 \div 9}{90 \div 9} =\frac{3}{10}[/tex]
Simplified. Can't be a mixed number, less than 1.
HELP PLEAS EI GIVE BRAINLISt
Answer:
D
Step-by-step explanation:
40 is in the same place for B and C, 83 is in the same place for A and C, and 57 is in the same place for A and B.
Triangle D is not similar to the other three triangle.
Similar triangle:Similar triangle may have different sizes but the shape. In similar triangles, corresponding sides are always in the same ratio. The corresponding angles are congruent.
Therefore, triangle A, B and C are similar triangle because the corresponding angles are equal. The angles are 40°, 83° and 57°.
The last triangle D has a different angles sizes which are 40°, 67° and 73°.
Therefore, triangle D is not similar to the other three triangle.
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8.91203 to the nearest whole number =
Find the value of (8/125)^-2/3
Answer:
6.25
Step-by-step explanation:
Using the rules of exponents
[tex](\frac{a}{b}) ^{-\frac{m}{n} }[/tex] = [tex](\frac{b}{a}) ^{\frac{m}{n} }[/tex]
[tex]a^{\frac{m}{n} }[/tex] = [tex](\sqrt[n]{a} )^m[/tex]
Given
[tex](\frac{8}{125}) ^{-\frac{2}{3} }[/tex]
= [tex](\frac{125}{8}) ^{\frac{2}{3} }[/tex]
= [tex](\sqrt[3]{125} )^2[/tex] × [tex]\frac{1}{(\sqrt[3]{8})^2 }[/tex]
= 5² × [tex]\frac{1}{2^2}[/tex]
= 25 × [tex]\frac{1}{4}[/tex]
= [tex]\frac{25}{4}[/tex]
= 6.25
Mai got a prepaid debit card with 30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 23 cents per yard. If after that purchase there was 27.01 left on the card, how many yards of ribbon did Mai buy?
Answer:
The answer I got was 13.
Step-by-step explanation:
I first did 30-27.01 to get 2.99.
I then divided 2.99 by 0.23 or 2.99/0.23 to get 13.
Hope this helped any!
Bill's chocolate bar is 69% cocoa. If the weight of the chocolate bar is 83 grams, how many grams of cocoa does it contain? Round your answer to the nearest tenth.
Answer:
Bill's bar has 57.3 grams of cocoa.
Step-by-step explanation:
The math part that your question is asking is: What is 69% of 83?
In order to use the percent 69% in a calculation, you need to change it to a decimal.
69% is 0.69
You move the decimal to the left, two places.
69% is 69.% If you don't see a decimal to start with and it is a whole number, then the decimal is starting on the right.
Move it two places to the left, you get
.69
Now MULTIPLY.
.69 × 83
= 57.27
ROUND your answer to the nearest tenth. That means only one digit to the right of the decimal.
57.27 rounds to 57.3
Bill's bar has 57.3 grams of cocoa.
Which one of the following statements about the projected unit sales volumes per company in the table on p.6 of the Player's Guide is false?
A. The projected unit sales volumes of branded footwear per company in Europe-Africa in Years 11-13 are higher than in North America.
B. Branded footwear sales per company in North America in Years 11-13 are projected to exceed branded footwear sales per company in the other three geographic regions.
C. The unit sales volumes of private-label footwear per company in the Europe-Africa region in Years 11-13 are projected to be the same as in North America.
D. Unit sales volumes per company of branded footwear in Years 11-13 are projected to be higher in the Europe Africa region than in either the Asia-Pacific region or the Latin America region.
E. The unit sales volumes per company in Latin America in Year 13 are projected to be 1,997,000 pairs of branded footwear and 288,000 pairs of private-label footwear
There are factors that makes a statement to be true. The false statement is that the projected unit sales volumes of branded footwear per company in Europe-Africa in Years 11-13 are higher than in North America.
What are the factors in knowing a company's unit sales?The factors to consider in knowing a company's unit sales and market share of products such as branded footwear in a specific geographic region includes;
The expenditures made on advertising.The number of models/styles in the company's product lineThe delivery times to retailers (such as 1,2,3,or 4 weeks)From the study, the market for branded athletic footwear is projected to grow approximately 9-11% annually in Latin America and the Asia-Pacific and 5-7% annually in North America an Europe-Africa during the Year 11-15.
Therefore the above is false since their projected growth is the same percentage.
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Mr.Nadsen buys 12 posters. each poster costs 15$. if mr.nadsen receives a 4$ discount on each poster, what is the total amount of money mr. nadsen spends? write an expression that matches the words.
Answer:
132
Step-by-step explanation:
1 poster = $15
12 poster = $180
$4 discount * 12 posters = $48
180 - 48 = 132
so the answer is 132!
please mark brainliest i need 4 more!
I need help on a question i don't know!
Answer:
20:4
Step-by-step explanation:
got it for u
Select the expressions that are equivalent to 2q + 8q.
q • 10
10q
q +9q
q + q+ 8q
Answer:
10qq +9qq + q+ 8qStep-by-step explanation:
We know that, when combining 2q + 8q we'll get → 10q
1) q • 10 (Nope)
2) 10q (yes, It's equivalent)
3) q +9q (combine) → 10q (yes, It's equivalent)
4) q + q+ 8q (combine) → 10q ( yes, It's equivalent)
So therefore, 10q , q +9q, q + q+ 8q are expressions equivalent to 2q + 8q..
~
Hope this helps!
8. How tall do the people in your immediate
and extended family tend to be?
Answer:
maybe 5,5-6 foot. don't really keep track I just know they are almost as tall as me
If 600 people were surveyed in order to make this pie chart, how many people say they take the bus? 20 points
Answer:
if 600 people were surveyed it means that 10% equals 60 since 60x10=600. Since we now know that 10% is 60, this would mean that 20% is 120. meaning that 120 people took the bus
4. A hiker covers in the first hour of his hike 6 km, in the second hour 9 km and in the third hour 7 km. What was his average speed during the hike
Answer: 7 km per hour
Step-by-step explanation:
shi i may be wrong but im pretty sure thats his average speed
40 POINTS!!!!
ANSWER ASAP PLEASE!
A six-sided number cube is rolled, and then a spinner with 5 equal sections labeled A through E is spun.
What is the probability of rolling a 6 and spinning a vowel?
1/15
1/10
1/3
17/30
Answer:
1/15
Step-by-step explanation:
K-12 quiz
The probability of rolling a 6 and spinning a vowel is 1/15.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
A six-sided number cube is rolled, and then a spinner with 5 equal sections labeled A through E is spun.
Outcome for cube rolled = {1, 2, 3, 4, 5, 6}
Outcome spinner spun = {A, B, C, D, E}
So, the probability of rolling a 6 and spinning a vowel
= 1/6 x 2/5
= 1/15
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3x + 5y = 4 2x + 3y = 4 solve in elimination
Answer:
y=-4, x=8
Step-by-step explanation:
1)3x+5y=4
2)2x+3y=4
Make 1 and 2 have the same co-efficient of x or y (i chose x as it is easier to get to 6 then 15)
Label the 2 new equations as 3 and 4
3)6x+10y=8
4)6x+9y=12
Now we can take away to give
y=-4
Now we substitute this into 1 or 2
I chose 2:
2x+3(-4)=4
2x=4+12
2x=16
x=8
Answer:
x = 8
y = -4
Step-by-step explanation:
Multiply the first equation by 2:
⇒ 3x + 5y = 4 ⇒ 6x + 10y = 8
(we will call this equation 3)
Multiply the second equation by 3:
⇒ 2x + 3y = 4 ⇒ 6x + 9y = 12
(we will call this equation 4)
Subtract equation 3 from equation 4 to eliminate the x variable:
6x + 9y = 12
- 6x + 10y = 8
-y = 4
Therefore, y = -4
Substitute y = -4 into one of the equations and solve for x:
3x + (5 x -4) = 4
⇒ 3x - 20 = 4
⇒ 3x = 24
⇒ x = 8
57 women make up an all female choir in a church.
Two women are chosen to sing together for a duet.
How many possible pairs could be chosen for the duet?
Answer:
there could be 28 possible pairs because 57/2=28.5
Step-by-step explanation:
Can anyone help in this question, thanks
Answer:
Sorry I can only help you in 5a. The answer is 70 degrees because it is a central angle. The measure of an arc and a central angle is the same.
Step-by-step explanation:
What are the coordinates of vertex N after this translation? * Quadrilateral LMNP is translated 4 units up and 2 units right.
Answer:
A
Step-by-step explanation:
because