Answer:
Distributive Property
Step-by-step explanation:
a(b + c) = ab + ac
Answer:
Commutative property
Step-by-step explanation:
plz give brainliest lol
The sum of the first three terms of a sequence is 6 and the fourth term is 16
Answer:
a₁ = -5, d = 7, a₂ = 2, a₃ = 9, a₄ = 16
equation of sequence: [tex]\boxed{\bold{a_n=7n-12}}[/tex]
Step-by-step explanation:
a₁ + a₂ + a₃ = 6
a₁ + a₁ + d + a₁ + 2d = 6
3a₁ + 3d = 6
a₁ + d= 2 ⇒ a₁ = 2 - d
a₄ = 16
a₁ + 3d = 16
2 - r + 3d = 16
2d = 14
d = 7
a₁ = 2-7 = -5
a₁ = -5, d = 7 ⇒ a₂ = -5+7 = 2, a₃ = 2+7 = 9, a₄ = 9+7 = 16
equation of arithmetic sequence:
[tex]a_n=a_1+d(n-1)\\\\a_n=-5+7(n-1)\\\\\underline{a_n=7n-12}[/tex]
State whether the function is a polynomial function. Give the zeros of each function, if they exist.
1. f(x) = 17 - 3x
-I already know that the answer is 17/3, but I just need someone to show me the work out so I can understand how to do the basics of Pre-Calc since I'm a month late in the class. Thank you!-
Pleaseee helppp mmeeee!
Answer:
They are both 45 degrees
Step-by-step explanation:
The square in the middle means a right angle (90) and 5 and 6 are equal too so they both equal 45
Tarush is a landscape architect. For his first public project he is asked to create a small scale drawing of a garden to be placed in the corner of a city park the garden to be placed in the corner of a city park. The garden is a right triangle with base 10m and height 15m. Draw the garden such that 1 unit on the grid below represents 2 m
Given:
The garden is a right triangle with base 10m and height 15m.
To draw:
The garden such that 1 unit on the grid below represents 2 m.
Solution:
We have,
1 unit = 2 m
So,
1 m = 0.5 units
Using this conversion, we get
10 m = 5 units
15 m = 7.5 units
Therefore, the base garden on the grid is 5 units and height is 7.5 units as shown below.
what can you erase with a eraser and your finger answer this correctly and you get 25 points and brainly
My will to live.
..................................................
(f + h)(x)
given f(x)= 3x-2x+4, g(x)= 8x-2, h(x)= 3x +2
Answer:
To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.
(f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(
g
f
)(x)=
g(x)
f(x)
= \small{\dfrac{3x+2}{4-5x}}=
4−5x
3x+2
My answer is the neat listing of each of my results, clearly labelled as to which is which.
( f + g ) (x) = –2x + 6
( f – g ) (x) = 8x – 2
( f × g ) (x) = –15x2 + 2x + 8
\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}(
g
f
)(x)=
4−5x
3x+2
Step-by-step explanation:
− 9/ 5 v = 10 plz hurrryryryryryryryryry
Answer: v=559
Step-by-step explanation:Solve for V
by simplifying both sides of the equation, then isolating the variable.
Exact Form:
V=−509
Decimal Form:
V=−5.¯5
Mixed Number Form:
V=−559
Hope this helps!!!!!!
how do i add 3=5 jejekfewnfkwnwewkjfnw
Answer:
You can't it is a false statement.
Step-by-step explanation:
You probably made an error.
3 + 5 is 8 unless you wanted this 3 + 2 = 5
A bird leaves its nest and travels 15 miles per hour downwind for x hours. On the return trip, the bird travels 3 miles per hour slower and has 2 miles left after x hours.
a. What is the distance of the entire trip?
miles
b. How long does the entire trip take?
_hours
_minutes and
_seconds
Answer:
A)
10 miles.
B)
0 hours, 40 minutes, and 0 seconds.
Step-by-step explanation:
Remember that distance is given by the formula:
[tex]d=st[/tex]
Where d is the distance, s is the speed, and t is the time.
We know that the bird leaves its nest and travels 15 miles per hour for x hours. So, let's substitute 15 for s and x for t:
[tex]d=15x[/tex]
On the return trip, the bird travels 3 miles per hour slower and has 2 miles left after x hours.
Since this is the return trip, the distance d remains the same. We know that the bird travels 3 miles per hour slower, so it's speed is 15-3 or 12 miles per hour.
However, after x hours, it still has 2 miles left until reaching the destination. So, we will subtract 2 from d. This gives us the equation:
[tex]d-2=12x[/tex]
We can solve this using substitution. Since we already know that d is 15x. Substitute:
[tex]15x-2=12x[/tex]
Solve for x. Subtract 12x from both sides:
[tex]3x-2=0[/tex]
Add 2 to both sides:
[tex]3x=2[/tex]
Divide both sides by 3:
[tex]x=2/3[/tex]
Therefore, the bird traveled for a total of 2/3 hours or 40 minutes.
And the distance the bird traveled is:
[tex]d=15x[/tex]
Substitute 2/3 for x to get:
[tex]d=15(2/3)=30/3=10\text{ miles}[/tex]
And we're done!
Paul was going to sell all of his stamp collection (s) to buy a video game. After selling half of them he changed his mind. He then bought ten more. How many did he start with if he now has 22?
Answer:
Paul had 24
Step-by-step explanation:
He has 22 now. Subtract the 10 he just bought for 12, which was half of his original collection.
22-10=12
12×2=24
Translate the sentence into an equation.
Twice the difference of a number and 5 equals 3.
Use the variable x for the unknown number.
Answer:
I believe it's 2(x-5)=3
The temperature dropped 24 degrees in 4 hours. Which integer represents the change per hour?
6
-6
20
-20
Answer:
-6
Step-by-step explanation:
24/4 is 6 but the tempature decreased due to that we put a negative symbol in front.
A car dealer paid $21,000 for a car and marked it up by 1/3 of the price he paid.How much did he sell the car for?
Answer:
$28000Step-by-step explanation:
Cost of the car = $21000
Mark up = 1/3*21000 = $7000
Sale price = 21000 + 7000 = $28000
Which of the following equations have no solution? Check all that apply.
6x + 1 = 3(2x – 4)
2 – 5x = 7x – 12
4(3 – x) = 2(6 – 2x)
5(x + 2) = 2(x – 4)
–4(x + 3) = 4(–x – 1)
Answer:
–4(x + 3) = 4(–x – 1) and 6x + 1 = 3(2x – 4)
Step-by-step explanation:
Answer:
1 ans 5
Step-by-step explanation:
no solution –––
6x + 1 = 3(2x - 4)
6x + 1 = 6x - 4
6x - 6x + 1 = 6x - 6x - 4
1 ≠ -4
one solution
2 - 5x = 7x - 12
2 -5x + 5x = 7x + 5x - 12
2 = 12x - 12
2 + 12 = 12x - 12 + 12
14 = 12x
x = 14/12
infinite solutions
4(3 - x) = 2(6 - 2x)
12 - 4x = 12 - 4x
12 - 12 - 4x + 4x = 12 - 12 - 4x + 4x
0 + 0 = 0 + 0
0 = 0
one solution
5(x + 2) = 2(x - 4)
5x + 10 = 2x - 8
5x - 5x + 10 + 8 = 2x - 5x - 8 + 8
18 = -3x
x = -6
no solution –––
-4(x + 3) = 4(-x - 1)
-4x + 4x - 12 = -4x + 4x - 4
-12 ≠ -4
Please help I’ll give brainiest!!
Please help!
Jill's father is a pilot. The airplane he flies can carry 396 passengers. If each passenger is allowed to take 60 pounds of luggage, how many total pounds can the plane carry in luggage?
Answer:
23760 pounds
Step-by-step explanation:
396 passengers
60 pounds for each passenger
total pounds plane can carry=passengers × pounds
= 396×60
= 23760 pounds
....
If y varies inversely as x and y = 8 when x = 3, find the value of x when y = 12
Answer:
x = 7
Step-by-step explanation:
................Hi.....................
n/n-5 = 4/6
please help
Answer:
4/11
Step-by-step explanation:
Write the equation of the line in slope-intercept form that is parallel to 2x + 5y = 35 and passing through the point (-10, 12 ).
Answer:
y=- 2/5x+7
Step-by-step explanation:
A farmer has 48 feet of fence with which to make a corral. If he arranges it into a rectangle that is twice as
long as it is wide, what are the dimensions?
The shorter side is ?
feet while the longer side is ?
feet.
Answer:
The shorter side is 8 feet
the longer side is 16 feet
Step-by-step explanation:
lets call the shorter side x.
let's call the longer side 2x (because it's twice as long as the shorter side)
you know that the perimeter is 48 feet.
the perimeter would be 2(short side) + 2(long side)
using this, you can make the following equation:
2(x) + 2(2x) = 48
open the parenthesis.
2x + 4x = 48
6x = 48
x = 8
2x = 16
Given the equation 9x - 3y - 27 in standard form. Show how you would
convert the equation into slope-intercept form - y = mx + b. You must
show your work to receive full credit. (3 points)
A standard form equation is when it is set up
Ax + By = C.
6x + 2y = 4
A slope-intercept form equation is when it is set up y=mx+b.
Y = - 3x + 2
In order to go from one form to another, all you have to do is change the order of the given numbers. First you want to move the Ax to the opposite side of the equation, by either adding or subtracting it. At this point your equation will be set up By = -Ax + C. Then you want to divide the B from the By and the rest of the equation. Therefore you will have y = - Ax/B + C/B. This is the same thing as the slope-intercept form, just a few of the letters are different.
Example 1:
Change from standard to slope form
8x + 4y = 16
8x + 4y = 16 first subtract 8x
4y = -8x + 16 then divide all by 4
y = -2x + 4 slope form
Example 2:
6x + 3y = 21
6x + 3y = 21 subtract 6x
3y = -6x + 21 then divide all by 3
y = -2x + 7 slope form
pls mark brainest
What is the prime factorization of 150?
2 × 3 × 5
22 × 3 × 5
2 × 32 × 5
2 × 3 × 52
Answer:
2x3x5x5
Step-by-step explanation:
150=2,75,5,15,3,5
2,3,5,5
Answer:
2 x 3 x 5 x 5
Step-by-step explanation:
다.
1
Is it a function?
HELP PLEASE PLEASE 10 PONITS PLEASE ASAP
Answer:
S = { }
Step-by-step explanation:
The set S has no members
Help please! I was absent the day we talked about this and im super confused.
Answer: It may be 25 or 101
Step-by-step explanation:
Use the figure to the right to find the value of PT. T is the midpoint of PQ.
PT= 3x + 7 and TQ = 6x-5
PT=N(Simplify your answer.)
Answer:
30 units
Step-by-step explanation:
PT=TQ
3x+9=5x-5
3x-5x=-5-9
-2x=-14
x=7
Putting value of x in PT above
PT=3x+9=3x7+9
PT=30 units
What is 3 3/8+ 5/12=_____.Plz tell me!
Answer:
3 19/24
Step-by-step explanation:
I need help plz
I am back at my times so could you helpp
3 x 7
9 x 8
12 x 9
Thank you UwU
Answer:
1731996
Step-by-step explanation:
i think thats the answer if not sorry hopefully i helped <3
Answer:
I can help you!
Step-by-step explanation:
3x7 you should add #7 3 times. That would be 21
9x8 you should add #8 9 times. That would be 72
12x9 you should add #9 12 times. That would be 108
Hope it helped
4.8 is 10 times as much as _____?
Answer:
0.48
Step-by-step explanation:
4.8 / 10 = 0.48
2/3 divided by 5 please help me I'm bad at math (it needs to be a fraction)
Answer:
The answer is 4
Step-by-step explanation: I did the work and it works out like that I hope this helps