3.
For each expression, combine like terms and write an equivalent expression with fewer terms.
a.
4x + 3x
b.
3x + 5x – 1
C.
5 + 2x + 7 + 4x
d.
4 - 2x + 5x
e.
10x – 5 + 3x – 2
The like terms combined and equivalent expressions are given below.
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.
Given are the following expressions -
a. 4x + 3x
b. 3x + 5x – 1
c. 5 + 2x + 7 + 4x
d. 4 - 2x + 5x
e. 10x – 5 + 3x – 2
We have -
[A] -
4x + 3x
4x + 3x = 7x
[B] -
3x + 5x – 1
3x + 5x – 1 = 8x - 1
[C] -
5 + 2x + 7 + 4x
5 + 2x + 7 + 4x = 6x + 12 = 6(x + 2)
[D] -
4 - 2x + 5x
4 - 2x + 5x = 3x + 4
[E] -
10x – 5 + 3x – 2
10x – 5 + 3x – 2 = 13x - 7
Therefore, the like terms combined and equivalent expressions are given above.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
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Andrew is descending 57 feet underwater while scuba diving. If he descends at a rate of 3 feet per second, how many seconds will it take Andrew to descend the full distance?
Answer: 19 seconds
Step-by-step explanation:
From the question, we are informed that Andrew is descending 57 feet underwater while scuba diving and that he descends at a rate of 3 feet per second.
The number of seconds that it will take Andrew to descend the full distance will be 57 divided by 3. This will be:
= 57/3
= 19 seconds
It'll take Andrew 19 seconds to descend the full distance
You plan to invest $100 per month for the next 10 years into an account that pays 8% with daily compounding. How much will you have in the account in 10 years?
Answer:
FV= $18,213.18
Step-by-step explanation:
First, we need to calculate the monthly real interest rate:
Daily interest rate= 0.08/360= 0.00022
Monthly interest rate= (1.00022^30) - 1
Monthly interest rate= 0.0066
Assuming a year of 360 days, and months of 30 days.
Now, we can determine the future value of the investment:
Monthly deposit= $100
Number of periods= 10*12= 120
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
FV= {100*[(1.0066^120) - 1]} / 0.0066
FV= $18,213.18
plz frist to answer will be brainliest
Answer:
D
Step-by-step explanation:
p^2
Does anyone know this ?
Answer:
if im not mistaken AACB
Step-by-step explanation:
An object was dropped off the top of a building. The function
f
(
x
)
=
−
16
x
2
+
256
f(x)=−16x
2
+256 represents the height of the object above the ground, in feet,
x
x seconds after being dropped. Find and interpret the given function values and determine an appropriate domain for the function.
f(−1)= , meaning that seconds after the object was dropped, the object was feet above the ground. This interpretation in the context of the problem.
f
(
1.5
)
=
f(1.5)= , meaning that seconds after the object was dropped, the object was feet above the ground. This interpretation in the context of the problem.
f
(
6
)
=
f(6)= , meaning that seconds after the object was dropped, the object was feet above the ground. This interpretation in the context of the problem.
Based on the observations above, it is clear that an appropriate domain for the function is .
Answer:
What is the equation, it’s hard to understand
Step-by-step explanation:
Manuel has already sold $20 worth of tickets to the school play. He has 4 tickets left to sell at $2.50 per ticket. Write a function for the total amount collected from ticket sales
Answer:
The function is C(t)=20 + $2.50X
Total amount is $30
Step-by-step explanation:
Manuel has already sold $20 worth of tickets to the school play, He has 4 tickets left to sell at $2.50 per ticket
It means he sell 1 ticket for $2.50
Then he sold the $20 worth of tickets to the school play at $2.50 per ticket i.e $20/2.50= 8 tickets which means he sold 8 tickets for $20.
If He has 4 tickets left to sell at $2.50 per ticket
Then he will sell at ($2.50×4)=$10
Then total tickets sold= $10+$20= $30
LET US WRITE THE FUNCTION NOW
The function for the total amount collected from ticket sales can be written as
C(t)=20 + $2.50X
Where X is the number of tickets to be sold
C(t) = total amount
$20= initial sold
If He has 4 tickets left to sell then
C(t)=20 + $2.50(4)
C(t)= 20+10= $30
What is the y-intercept of f(x)
= (3/5)^x?
Answer:
(0,1)
Step-by-step explanation:
its right
slope from two points
Answer:
- 5/7
Step-by-step explanation:
y2 - y1 / x2 - x1
(-3 - 2) / (3 + 4)
- 5/ 7
Jen waked 1/4 of a mie in 1/3 of an hour. At this rate, how long will it take her to wak 2 miles to the park?
A. 2 hours
B. 2 1/3 hours
C. 2 2/3 hours
D. 3 hours
E. 3 1/3 hours
To include the personal assets and transactions of a business's owner in the records and reports of the business would be in conflict with the
Answer:
Khgiqjdbdnekjfjwjehsio
round 6.24159 to the nearest hundredths
Answer:
6.24
you look at the number behind the hundredth place which is 1
Are u confused, depressed, and need help with homework?
Too bad, so am i
it's ok.
Answer:
true, i feel ya.
an equation of the line with a slope of 2 and y-intercept of 9
Answer:
y = 2x + 9
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 2
y-intercept b = 9
Step 2: Write linear equation
Slope-Intercept Form: y = 2x + 9
The focus of a parabola is [tex](0, 2)[/tex], and its directrix is the vertical line [tex]x=-6[/tex]. Identify the axis of symmetry, the vertex, and the direction the parabola opens.
Answer:
[tex]\huge\boxed{\text{Axis of Symmetry: } y = 2}[/tex]
[tex]\huge\boxed{\text{Vertex: } (-3, 2)}[/tex]
The parabola opens to the right (horizontally)Step-by-step explanation:
We need to note a few basic rules about focuses and directrix’s of a parabola.
1. The directrix never touches the parabola, however it is perpendicular to the axis of symmetry
2. The focus never touches the parabola, however it lies on the axis of symmetry of the parabola
3. The directrix is always the same distance away from the vertex as the focus
If we know that the focus of the parabola is (0, 2) and the directrix lies on x=-6. that means these points are 6 units apart as we can assume the line x = -6 crosses the point (-6, 2), making these points 6 units apart (since |-6 - 0| = 6)
These are 6 points apart horizontally, via the x-axis, meaning that this is a horizontally facing parabola, and it opens to the right. We know it can’t open to the left because then the directrix (x = -6) would touch the parabola and then it wouldn’t be a directrix!
The vertex of the parabola will be the same distance away from the focus and the directrix. Since these are 6 units apart, that means the focus will lie [tex]6 \div 2 = 3[/tex] units away from either one.
Halfway between 0 and -6 is -3, so we know the vertex lies on x-coordinate -3. We also know that the focus is on y-value 2, meaning that the vertex will also be on y = 2, since the focus is always on the axis of symmetry.
So our vertex is at [tex](-3, 2)[/tex].
We know that this is a horizontally facing parabola, meaning that our axis of symmetry is going to lay on a y coordinate. The axis of symmetry always contains the vertex, so that means that we can just take the y value of the vertex and use that as the axis of symmetry. The vertex lies at y value 2, meaning that the axis of symmetry is [tex]y=2[/tex]
In conclusion
The vertex is at [tex](-3, 2)[/tex] The axis of symmetry is at [tex]y=2[/tex] The parabola opens to the right (horizontally)Hope this helped!
Multiply 986 and 19 together. Round to the nearest hundredth when necessary.
Answer:
18734
Step-by-step explanation:
mark brainliest please:)
If bill gates gave everyone in the world his money EQUALLY how much would each person have?
Not serious question. You dont have to answer it if you dont want to i just wanted to know.
Answer:
It's five hundred thousand each.
Step-by-step explanation:
This is for everyone in the United states so everyone would get five hundred thousand ultimately ending poverty. But The only way top end out is for them to end poverty is people get a job and house and decent car.Plz give Brainliest!!!
Find m angle 1 and m angle 2.
Answer:
1=87°
2=93°
Step-by-step explanation:
angle 1 is the alternate interior angle of 87
angle 1 and angle 2 are supplementary angles
180-87=93
hopefully this helps :)
Why do people pretend they have depression, Depression is not something to joke about
Answer:
they want more attention than they already have,or they think its funny
Step-by-step explanation:
Answer:
It seems like most people joke about depression for attention.
Step-by-step explanation:
∠A and \angle B∠B are complementary angles. If m\angle A=(8x-23)^{\circ}∠A=(8x−23)
∘
and m\angle B=(7x-7)^{\circ}∠B=(7x−7)
∘
, then find the measure of \angle A∠A.
Answer: 41
Step-by-step explanation:
No❤️
A 56 inch of pipe is cut into two pieces. One piece is 8 inches longer than the other. How long is each piece?
Set up an equation (part + part = whole). Solve the equation to find the value of x. 10 + x + x + 20 = 12
Answer:
x is equal to -9 thus it becomes -18 in the whole setup
which expression can be used to find the slope of a line containing the points (-3,7) and (7,-1)
Answer:
y2- y1
x2- x1
which would be,
-1 - 7
7- (-3)
Steps:
(-3, 7) (7, -1)
(x1,y1) (x2,y2)
Answer:
slope is delta y over delta x. In other words change in y over change in x. so if you take -3 (this is x) and 7 (this is also x) and you find the change. in this example it is positive 10. now you set that number aside and work on y now. so you now take 7 (this is y) and -1 (this is also y) and you find the change. It is -8. Finaly, since slope is delta y over delta x your answer is -8/10. -8/10 is your slope.
Hope this helped!
An airplane is descending at a rate of 2500m per minute. How much higher was the
plane 10 minutes ago?
Answer:
25000 Meters high
Step-by-step explanation:
2500 x 10 = 25000
me being dumb ✌️
The number 93 6_2 is divisible by 4. What are the possibilities for the missing digit?
Answer:
3
Step-by-step explanation:
you can do it sequentially and find a potential solution; when you divide the thing, it looks like this
__2_3_4_0_8________________
4 | 936_2
4
_________
13
12
__________
16
16
-________
0
0
________
32
32
_______
0
Answer:
1, 3, 5, 7, 9
{I guess it's just odd numbers}
Happy Thanksgiving!
What is the multiplicative inverse of One half
Answer:
2
Step-by-step explanation:
The multiplicative inverse of 1/2 is 2. To determine the multiplicative inverse of a number, we use the following rule: The multiplicative inverse...
Ms. Fritze can eat 8 apples in 15 minutes. How long does it take her to eat 16 apples at the same rate?
Answer:
30 minutes it’s just the numbers of Apple times 2
Step-by-step explanation:
Can somebody please help me with this algebra assignment thank youu
Answer: you answer is -$150
Step-by-step explanation:
450 minus 200 minus 200 minus 200 and you get -$150
how to change percentage to degree
Answer:
A full circle has 360 degrees, which means that 100% of the circle is 360 degrees. First convert the percentage into a decimal. If you multiply 360 by 0.90, you get the degree measure that corresponds to the percentage, which is 324.
Step-by-step explanation:
3
Mark placed a ladder against a wall. The bottom of the ladder was 5 feet away from the wall. Find the height of the wall.
Ladder
10 feet
Wall
5 feet
Answer:8.66?
Step-by-step explanation:
pythagoras theorum finding the shorter side
A=C²-B²
10²-5²
=√10² - 5²
=8.66