Answer:
x³ + x² - 60x + 18
General Formulas and Concepts:
Combining like termsStep-by-step explanation:
Step 1: Define expression
(x³ + x² - 61x + 25) + (x - 7)
Step 2: Simplify
Combine like terms (x): x³ + x² - 60x + 25 - 7Combine like terms (constants): x³ + x² - 60x + 18A prime number is an integer greater than 1 with exactly two different positive factors, 1 and the number itself. There are three children in a family. Each of their ages is a prime number. The sum of their ages is 41 and at least two of the children have ages that differ by 16. Determine all possibilities for the ages of the children.
Answer:
Hence,
a=19,b=19,c=3
a=11,b=7,c=23
Step-by-step explanation:
[tex]Let\ their\ ages\ be\ a,b\ and\ c\ respectively, where\ a,b,c\ are\ primes\\Hence,\\a+b+c=41\\b-c=16\\Listing\ out\ all\ the\ primes\ from\ 0\ to\ 41\ we\ get:\\2,3,5,7,11,13,17,19,23,29,31,37,\\Hence,\\Lets\ seperate\ out\ the\ primes\ who\ differ\ by\ 16 :\\3\ and\ 19, 7\ and\ 23\ ,[/tex]
Hence,
[tex]Lets\ consider\ this\ set\ as\ b,c:\\Hence,\\To\ find\ a \\a=41-(b+c)\\Hence, By\ doing\ this\ indiviually\ we\ get:\\[/tex]
[tex]a=41-(19+3)\\a=41-22\\a=19\\Hence, a=19,b=19,c=3[/tex]
[tex]a=41-(23+7)\\a=41-30\\a=11\\Hence, a=11,b=7,c=23[/tex]
If z = 13 - 71, what is the value of z?
BE
O 6
O 2/30
218
O 20
Answer:
z=-58 bc 13-71= -58
Step-by-step explanation:
This week, 957 people went to the beach. Last week, 1,207 people went to the beach. The number of people who went to the beach fell by what percent? Use pencil and paper. Explain how you know whether the answer is greater than or less than 25%
Answer:
Less than 25%
Step-by-step explanation:
1. Find the difference of the two numbers: 1,207 - 957 = 250
decrease = original number - new number
2. Then, divide the decrease by the original number
250/1,207 = 0.207
3. Multiply the answer by 100 to get the percentage
0.207 x 100 = 20.7%
Therefore, the number of people fell by 20.7%
Hence, the answer is less than 25%
Step-by-step explanation:
Which figure shows a single ray
there are no figures shown.
Plsss help mee :,) ill give brainlist
Answer:
3/5, 1, 8/5, 8
Step-by-step explanation:
Answer:
0, 35, 8/5, 8. I think
Step-by-step explanation:
hope this helps :3
im sorry if im wrong
The sum of two numbers is 100, The difference between the two numbers is 95
workout the two numbers
Answer:
Let the numbers be x and y
x+y=100
x-y=95
taking x-y=95
x=95+y
x+y=100
95 + y +y = 100
2y=100-95
y=5/2
y=2.5
x=95+y
x=95+2.5
x= 97.5
Hope it helps...............
The two numbers are 97.5 and 2.5.
What is Addition and Subtraction?Subtraction is the process of taking out certain value from a given amount of number.
The process of subtraction can also be termed as finding difference.
Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.
The process of doing addition is also called as finding the sum.
Let x and y be the two numbers.
The sum is 100 and the difference is 95.
x + y = 100 ⇒ x = 100 - y
x - y = 95
Substituting x = 100 - y in the second equation,
100 - y - y = 95
100 - 2y = 95
2y = 100 - 95
2y = 5
y = 5/2 = 2.5
x = 100 - y = 100 - 2.5 = 97.5
Hence the numbers are 97.5 and 2.5.
Learn more about Addition and Subtraction here :
https://brainly.com/question/29464370
#SPJ2
Question 1 of 5 Convert 48 inches to feet. There are 12 inches in a foot. O A. 480 feet O B. 576 feet O C. 4 feet O D. 8 feet
Answer:
C
Step-by-step explanation:
If you divide 48 by 12 you will get 4 and 4 is your answer
I need help please help
Answer:
3/4
Step-by-step explanation:
6/8 = 3/4
evaluate 68 x 71 mentally.
Answer:
4828 = 68 x 71
Step-by-step explanation:
how I looking at it all I did was multiply
Answer:
4828
Step-by-step explanation:
68x71=4828
16) tan Ø
7C
6
Y
3
A)
B) -2
3
C)
داد
D)1
2
Answer:
:O
Step-by-step explanation:
Simplify the given expression below: (2 points) 2 divided by the quantity of 2 plus 5i
Answer: The given expression "2 divided by the quantity of 2 plus 5i" can be translated as 2/(2+5i). Simplifying expressions aim is to simplify it into its simplest form. Since i = √-1 substitute it into the expression.
2/(2+5√-1)
then multiply it by 2-5√-1 on the numerator and denominator and we have
[2(2 - 5√-1)] / [4 - 25(1)]
(4-10√-1)/(-21)
Answer:7
Step-by-step explanation:
PLZZZZ HELPPPP THIS IS A TIMED TESTTT!!
DEFG has been dilated to D’E’F’G’. Use a pair of corresponding sides to determine the scale factor.
Answer:
2/3
Step-by-step explanation:
DEFG ~ D'E'F'G'
[tex]\frac{D'G'}{DG}[/tex] = [tex]\frac{2}{3}[/tex]
pls help me in this
[tex]A=\frac{3\sqrt{3}}{2}(8)^2=\boxed{96\sqrt{3} \text{ cm}^2}[/tex]
HELP ASAPPP!!! !!!! PLEASE
Answer:
B.
Step-by-step explanation:
for decimals, you start with tenths, so it would be thousandths
Consider f(x)=2|x|
What is the rate of change over the interval 0≤x≤4?
How is the rate of change over this interval related to the form of the function?
Answer:
Please check the explanation.
Step-by-step explanation:
As we know that the average rate of change of f(x) in the closed
interval [a, b] is
[tex]\frac{f\left(b\right)-f\left(a\right)}{b-a}[/tex]
Given the interval [a, b] = [0, 4]
as
[tex]f(x)=2|x|[/tex]
[tex]f(b)=f(2)=2\cdot \:4[/tex] ∵ [tex]\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0[/tex]
[tex]= 8[/tex]
[tex]f(x)=2|x|[/tex]
[tex]f(a)=f(0)=2\cdot \:0[/tex] ∵ [tex]\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0[/tex]
[tex]= 0[/tex]
so the average rate of change :
[tex]\frac{f\left(b\right)-f\left(a\right)}{b-a}=\frac{8-0}{4-0}[/tex]
[tex]=\frac{8}{4}[/tex]
[tex]= 2[/tex]
We know that a rate of change basically indicates how an output quantity changes relative to the change in the input quantity. Here, it is clear the value of y increase with the increase of input.
You start at (-3, 0). You move right 3 units and down 5 units. Where do you end?
Answer:
(0,-5)
Step-by-step explanation:
Help please!! If you can't see the photo well just let me know <3
Answer: The second one and fourth one.
Step-by-step explanation: did this already and got it right :)
What does m represent in the equation y= mx + b?
none of these
the slope of the graph of
y = mx + b
the y-intercept of the
graph of y = mx + b
the run in the ratio
rise
run
[tex]y=mx+b[/tex]
where m is slope
and b is y-intercept
30 points!!
Find the missing term to make each statement true
1. 18e + __ = 12e
2. __ - (-21x) = 21x
3. 90z + __ = 80z
Answer:
1. 18e + (-6e) = 12e
2. 0x - (-21x) = 21x
3. 90z + (-10z) = 80z
1. 18e + (-6e) = 12e
2. 0x - (-21x) = 21x
3. 90z + (-10z) = 80z
Find three consecutive integers where the sum of the first and the twice second is 5.
Answer:
1,2, and 3
Step-by-step explanation:
1+ (2*2) is equal to 5, so it has to be 1 and 2, and you can figure out that 3 goes after that.
Use inverse operations to solve: x + 3.2 = 7
Answer:
x=3.8
Step-by-step explanation:
You would use the inverse operation by subtracting 3.2 from both sides of the equation, leaving you with x=3.8
Please help me with this question please
Answer:
A
Step-by-step explanation:
6x + 21y = 103
-6x + 23y = 51
-x + y = 2
3х – 5у = -4
solve the system of linear equation by substitution
If TRAP is an isosceles trapezoid, what is the value of x?
(5x +9)"
R
A. 9
B. 25
C. 18
D. 23
E. 19
F. Cannot be determined
Answer: 19, I had to get the question wrong :/
The value of x is 19
How to determine the value of x?From the question we understand that TRAP is an isosceles trapezoid
This means that the adjacent angles add up to 180 degrees.
So, we have:
5x + 9 + 4x = 180
Evaluate the like terms
9x = 171
Divide both sides by 9
x = 19
Hence, the value of x is 19
Read more about isosceles triangles at:
https://brainly.com/question/24371813
how to rewrite 7(3 + 3 + 3) + 1 =
Answer:
=64
Step-by-step explanation:
7(3+3+3)+1
=7(6+3)+1
=(7)(9)+1
=63+1
=64
Wich of the following lines is parellel to x=8
A submarine is at a depth of 100 feet below sea level. Then it starts to dive at a rate of 50 feet per minute. What is the slope? I will give brainliest and help you ☻
Answer:
Independent variable: Time in minutes
Dependent variable: The elevation in feet
Slope: -50
Y-Intercept: -100
Step-by-step explanation:
Just did the assignment
Please help me with this question
Answer:
Step-by-step explanation:
(a). SR = 15√2 km ≈ 21.2 km
R is 21.2 km due South-East of S
(b). RQ² = 35² + 15² ⇒ RQ = 5√14 km ≈ 38.1 km
R is 38.1 km due South-West of Q
HELP I DONT UNDERSTAND. I WILL GIVE BRAINLIEST (foolish answers will be reported)
Answer:
A
Step-by-step explanation: