Answers
Step-by-step explanation:
what is a square ? or is a number or term/expression for which the square root creates a clean result without any endless positions after the decimal point or non-integer exponents.
for the first problem a is already the right answer.
14b⁴ is not a square term, although b⁴ itself is one (= b²×b²), because 14 is not a square (its square root is an endless number).
1 is actually a square (= 1×1).
b² and y⁴ are squares (b×b and y²×y²).
16b² and 49 are squares (4b×4b and 7×7).
(b+1)⁴ and 4b⁶ are squares ((b+1)²×(b+1)² and 2b³×2b³).
factors of x² + 5x - 6
you know how generic factor multiplication works ?
(x + a)(x + b) = x² + ax + bx + ab
so by comparing, we see that
ax + bx is 5x
therefore
a + b = 5
and
ab = -6
now we could solve this ultimately quadratic problem or (much simpler) use the answer options and see which one fits.
and the right answer is c :
-1 + 6 = 5 (that fits)
-1×6 = -6 (that fits too, so this answer is correct).
Related Questions
10a) Beatrice has an income of
$40 000 in one year.
She pays no tax on the first
$10 000 of her income;
10% tax on the next $10 000 of her income;
25% tax on the rest of her income.
Calculate:
a) the total amount of tax Beatrice pays,
b)the total amount of tax as a percentage of the $40 000.
10b) Beatrice pays a yearly rent of $10 800.
After she has paid her tax, rent and bills, she has $12 000.
Calculate how much Beatrice spends on bills.
Answers
Answer:
a) $6000 tax
b) 15%
c) $11,200 for bills
Step-by-step explanation:
a)Beatrice pays 10% on the second $10,000 of her income, which is ...
0.10×$10,000 = $1000
and she pays 25% on the amount over $20,000, which tax is ...
0.25×($40,000 -20,000) = $5000
The total amount of tax Beatrice pays on her $40,000 income is ...
$1000 +5000 = $6000 . . . . tax on $40,000
__
b)The tax as a percentage of $40,000 is ...
$6,000/$40,000 × 100% = 15% . . . . percentage of income paid in tax
__
c)The amount left after tax, rent, and bills is ...
$40,000 -tax -rent -bills = $12,000
bills = $28,000 -tax -rent
bills = $28,000 -6,000 -10,800 = $11,200
Beatrice spends $11,200 on bills.
1/2(12w+8)-1/8(10w-5) This confuses me very much pls help
Answers
Answer:
3 8 + 3 7 divided by 8
Step-by-step explanation:
You have already traveled 25 miles. If you continue driving at the same speed, x miles per hour, for 5 more hours, you will travel y total miles. Which equation shows how x and y are related?
A. 5x + 25 = y B. 25 – y = 5x
C. 25x + 5 = y D. 25 – 5x = y
Answers
25 miles is the constant. x is the changing factor. x miles per hour for 5 hours is 5x. y is the total amount. This means that our formula is going to be A) 5x + 25 = y.
All of the other options are incorrect.
I hope this helps! :)
please help I will give 30 points but I need this answer please.
Answers
whats the question???
also it says 5 points-
Write an equation of the line that passes through each point with the given slope.
(9,-8), m=
4
book
y = -43 - 44.
y = 4x - 44
y = 40 - 27
y = 4.1 +44
Question 6
1 pts
Answers
Answer:
Step-by-step explanation:
In a group of dogs and their owners, there are exactly 20 heads and 64 legs. How many dogs are in the group
Answers
Answer:
If we assume that everyone in the group is an owner, we would have
[tex]20*2=40[/tex] legs.
[tex]64-40=24[/tex] legs
Therefore, we need 24 more legs.
These 24 additional legs can be made from the difference of legs between the owners and dogs.
In this case, dogs have [tex]4-2=2[/tex] more legs than an owner.
24 ÷ 2 = 12.
There are 12 dogs in the group.
A high school drama club is selling tickets for the spring production. One day the president sold 12 adult tickets and 5 child tickets for a total of $169. The next day the president sold 22 adult tickets and 10 child tickets for a total of $314. Let a represent the cost of one adult ticket. Let c represent the cost of one child ticket. Which system of equations will solve for a and c? 12 a 5 c = 314. 22 a 10 c = 169. 12 a 5 c = 169. 22 a 10 c = 314. 5 a 12 c = 314. 22 a 10 c = 169. 22 a 5 c = 169. 12 a 10 c = 314.
Answers
Answer:
12a + 5c = 169
22a + 10c = 314
Step-by-step explanation:
if a = adult tickets and c = children's tickets
12 adult tickets and 5 children's tickets costs 169 dollars
12a + 5c = 169
Also, 22 adult tickets and 10 children's tickets cost 314 dollars
22a + 10c = 314
Answer:
Its D :)
Step-by-step explanation:
Have a good day.
hospital in California is keeping track of the weight of a newborn baby. A newborn baby gains an average of 1.5 ounces per day. One baby currently weighs 72 ounces. Write an algebraic equation that describes the relationship between the number of days (d) and the total weight of the baby (w).
Fill in the blank for
w =
Answers
On average, a newborn drinks about 1.5-3 ounces (45-90 milliliters) every 2-3 hours
What multiple of five is also a factor of five
Answers
Hello, hope you are having a remarkable day. :)
These are the multiples of 5:
5, 10, 15, 20, 25, 30, 35...
These are the factors of 5:
1, 5
As we can see, the number 5 is both a multiple of 5 and a factor of 5.
Hope it helps. Ask me if you have any queries.
~An emotional teen who helps others with joy
Good luck.
Lines m and n are parallel. Find the following angle pairs in the diagram. if you cant find any, write none.
Answers
Answer:
1. Alternate exterior: None
2. Corresponding angles: None
3. Same side exterior angles: <1 and <5
4. Alternate interior: <3 and <4
5. Same side interior: <2 and <4
Step-by-step explanation:
find the degree of the following polynomial and determine whether it is a monomial, trinomial, or none of these.
2x+1
Answers
None, it is a binomial because it has 2 terms. The degree is 1.
Hope this helps friend~ ^^
15 POINTS, to lazy please help.
Answers
Answer:
(2, - 1 )
Step-by-step explanation:
The solution to the system is at the point of intersection of the 2 lines.
They intersect at (2, - 1 ) ← solution
Answer:
1427832.087y4441x6.7
1. The diameter of each tire on a model car is 10.668 mm. The actual diameter of a car's tire is 5.29 X 102 mm. About how many times larger is the actual diameter of a car tire than the diameter of the tire on the model car? A 5 times B 50 times +90 100 times D 500 times
Answers
The number of times the actual diameter is larger than the model is 50 times.
A tire has the shape of a circle. The diameter is line that goes through the center of a circle and divides the circle into two.
In order to determine how many times larger the actual diameter is greater than the model, the actual diameter would be divided by the diameter of the model.
5.29 x 10² ÷ 10.668
529 ÷ 10.668
= 49.6
= 50 times
Please find attached an image of a circle. To learn more, please check: https://brainly.com/question/13590859
Use the ALEKS calculator to write9/16
as a decimal rounded to the nearest hundredth.
Answers
Rounding to the nearest hundredth, the answer is .56
What is the value of C that will make the expression a perfect square trinomial? x2−10/3x+C
Answers
Answer:
C = 25/9
Step-by-step explanation:
Consider the perfect square trinomial ...
(x -a)² = x² -2ax +a²
The constant (a²) is the square of half the x-coefficient.
For your trinomial, the square of half the x-coefficient is ...
C = ((-10/3)(1/2))² = (5/3)² = 25/9
Evaluate the expression for a = -13.
Answers
Answer: -4
Step-by-step explanation: (9)+(-13) 9+−13 9−13 −4
A chartered vacation will cost eva $1,250 plus $45 per day for food. If Eva wants to spend less than $1,700, how many days can she travel?
Answers
Answer:
She can travel for 10 days
Step-by-step explanation:
first you do 1,250 divided by 1,250 will equal 0. Then you do the other side 1,700- 1,250 =450. Then you do 450 divided by 45 and you will get 10
Hope this helps you out!
Find the greatest common factor of 21 and 46.
Answers
Answer:
1
Step-by-step explanation:
Hope this helps! Have a great day ahead. Tell me if I'm wrong :) Stay Safe <3
Answer:
1
Step-by-step explanation:
they are both co-prime (numbers that have a common factor of only 1)
Heyy , help me do this please and thank you?:
Answers
Answer: 18 fliers
Step-by-step explanation:
1/3 of 63 is 21. Thus, the remaining fliers are 42.
4/7 of 42 is 24. Thus, the remaining fliers are now 18.
Hope it helps :)
sally has 10 cups of oatmeal. she needs 1/4 cup of oatmeal to make 1 batch of cookies. how many batches of cookies can sally make
Answers
10/.25 =40 .25 is equal to 1/4 . therefore she can make 40 batches of cookies
what is the gcf of 56 and 92
Answers
Answer:
im pretty sure its 4!
Step-by-step explanation:
56/4=14
92/4= 23
and i dont think there are any greater numbers that factor into both 56 and 92
hope this helps!
Answer:
4
Step-by-step explanation:
1) Draw factor trees - split numbers into smaller numbers, circle any prime numbers
2) Draw a venn diagram
3) Any circled prime numbers that are the same go in the middle column.
4) Any remaining numbers go in the left or right circle.
5) GCF = multiply everything in middle column.
Hope this made sense! <3
I would really like help
Answers
3 -25.875
4 -144
5 24
Answer:
[tex] \\ • \: \frac{1}{8} + (2 - 4 \times 7)[/tex]
[tex] \\ = \frac{1}{8} + (2 - 28)[/tex]
[tex] \\ = \frac{1}{8} + ( - 26)[/tex]
[tex] \\ = \frac{1}{8} - 26[/tex]
[tex] \\ = \frac{1 - 208}{8} [/tex]
[tex] \\ = \frac{ - 207}{8} [/tex]
[tex] \\ = - 25 \frac{7}{8} \: \: or \: \: - 25.875[/tex]
[tex] \\• \: 20 \times 3 - 7(8 \times 9)[/tex]
[tex] \\ = 20 \times 3 - 7 \times 72[/tex]
[tex] \\ = 60 - 504[/tex]
[tex] \\ = - 444[/tex]
[tex] \\ • \: 23 - ( \frac{4}{2} ) + 7 - 4[/tex]
[tex] \\ = 23 - 2 + 7 - 4[/tex]
[tex] \\ = 23 + 7 - 2 - 4[/tex]
[tex] \\ = 30 - 6[/tex]
[tex] \\ = 24[/tex]
[tex] \frak {\overbrace{\underbrace{{{hope \: it \: helps}}}}}[/tex]
Find a value c in the interval [0,3] such that f(c) is equal to the average value.
Answers
Answer:
1.5
Step-by-step explanation:
Numbers in the interval are 0, 1, 2 and 3
Average Value = (0+1+2+3)/4=1.5
The average value of the numbers in the interval {0,3} is 1.5.
What is an average?Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.
Mean is defined as the ratio of the sum of the number of data sets to the total number of data.
Given that the value c is in the interval [0,3]. The interval is written {0,1,2,3}.
The average of the numbers is calculated as,
Average Value = (0+1+2+3)/4
Average Value =1.5
Therefore, the average value of the numbers in the interval {0,3} is 1.5
To know more about an average follow
https://brainly.com/question/20118982
#SPJ2
what is 2234x44321=?
Answers
Answer: 99013114
Step-by-step explanation: Due to the solution to your question. 2234x44321= 99013114. This is because we multiply each digit to its own other digit.
Sam, the ranch cook, made sausage and bacon
for breakfast. Each cowboy could choose one
meat, and Sam had just enough. 3 of every 5
cowboys chose bacon. There are 60 cowboys.
How many chose bacon?
Answers
Answer:
36
Step-by-step explanation:
60 × 3 ÷ 5 that's basically it :))
36 out of 60 cowboys ahs chosen bacon over sausages.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, Sam, the ranch cook, made sausage and bacon for breakfast.
Each cowboy could choose one meat, and Sam had just enough.
3 of every 5.
Also given that there are 60 cowboys so no. of meat is also 60 as each cowboy could choose one meat.
If 3 of every 5 cowboys chosen meat then the no. of cowboys chosen meat is,
= (3/5)×60.
= 36 cowboys.
learn more about ratios here :
https://brainly.com/question/13419413
#SPJ2
what is the equation to solve this
Answers
Answer:
p=(180.50-19.50)/23
Step-by-step explanation:
Two pillars of height 8 ft each with four faces of the gate of a stadium have one-one pyramid of height 4 ft each having same base on their tops. The base of each pillar is 6 ft × 6 ft. If the pillars with pyramid are painted at rate of Rs 89 per sq.ft , what will be the total cost? [ Please include figure too]
Help!! ~Thanks in advance! :)
Answers
Answer:
₹ 44856Step-by-step explanation:
There are 2 pillars, two right prisms of dimensions 6x6x8 ft, two right pyramids of dimensions 6x6x4 ft on top of prisms.
There will be 4 faces of each painted.
Area of each prism face:
6*8 = 48 ft²Total area of prism faces:
8*48 = 384 ft²Slant height of pyramid faces:
s = √h²+(a/2)², where h- height of pyramid, a - side of bases = √4²+(6/2)²= √16+9 = √25 = 5 ftArea of each face of pyramid:
A = (1/2)*6*5 = 15 ft²Total area of pyramid faces:
8*15 = 120 ft²Total area to be painted:
384 + 120 = 504 ft²Cost of paint:
504*89 = 44856Total cost painted = 44,856
Answer in the picture.
Please, help me with this question
Answers
Answer:
x=0
Step-by-step explanation:
2.5^2x = 1
2.5^2x=2.5⁰
2 x = 0
x=0
3.5x^3-2.3x^2+1.4x+15.6-1.2x^3+4.5x^2-0.3x-3.2
Answers
Answer: 12.4 + 1.1x + 2.2x^2 + 2.3x^3
Step-by-step explanation:
add the like variables
Solve the system of linear equations below.
6x + 3y = 33
4x + y = 15
A x = 2, y = 7
B. X = -13, y = 7
C x = -2/3, y = 12*2/3
D. x = 5, y = 1
Answers
Answer:
A
Step-by-step explanation:
6x+3y=33 <=> 2x+y=11<=>4x+2y=22 (1)
4x+y=15 (2)
(1)-(2) <=> y=7
Answer:
A x = 2, y = 7
Step-by-step explanation:
6(2)+3(7)= 33
4(2)+(7)=15