the 4th term of an ap is equal to 3 times the first term and the 7th term exceeds twice the third term by 1 find the first term and the common difference
We're given
a₄ = 3a₁
a₇ = 2a₃ + 1
Since these numbers form an arithmetic progression, we have for some fixed constant d
a₂ = a₁ + d
a₃ = a₂ + d = a₁ + 2d
a₄ = a₃ + d = a₁ + 3d
and so on, up to
a₇ = a₁ + 6d
Rewrite the given equations in terms of a₁, then solve for a₁ and d :
a₁ + 3d = 3a₁
a₁ + 6d = 2 (a₁ + 2d) + 1
2a₁ - 3d = 0
a₁ - 2d = -1
(2a₁ - 3d) - 2 (a₁ - 2d) = 0 - 2 (-1)
2a₁ - 3d - 2a₁ + 4d = 0 + 2
d = 2
a₁ + 3d = 3a₁
3 (2) = 2a₁
a₁ = 3
8x+2>34 find the solution set of the inequality
Answer:
x > 4
Step-by-step explanation:
8x+2>34
Move the constant to the right side and change its sign
8x>34-2
subtract the numbers
8x>32
divide both sides by 8
x>4
Answer:
x>4
Step-by-step explanation: Khan Academy
Alexa transports flowers for Rolling Rosie's Garden Center. On her last route, she earned $450.80. If Alexa earned $0.40 for every mile, how far did she drive?
Answer:
1127 miles
Step-by-step explanation:
Since on her last route, she earned $450.80. And she earned $0.4 for every mile.
The amount earned divided by the amount earned per mile would give us the value of distance covered.
Thus,
distance covered = [tex]\frac{450.80}{0.40}[/tex]
= 1127
Thus, the distance covered by Alexa on he last route is 1127 miles.
I am really confused on how to do this.
Step-by-step explanation:
Ok, so in a standard equation, there can’t be any fractions, so you would have to multiply everything by 3, making the equation 3y+3=2(x-8) (p.s. don’t multiply the parentheses, leave the numbers in them alone for now). Then, you would go through with the equation process: 3y+3=2x-16. You move the 3 over to the right to make 3y=2x-19. Move the x to the left, -2x+3y=-19. But, there is a problem. The first term of this equation can’t be negative(yes, in standard form, x has to come first). So, you have to multiply everything by -1, resulting in the answer 2x-3y=19. I hope this helps!(The format for a standard form equation is: Ax+By=C).
4. What is the equation of a line written in slope intercept form? Why is it
called "slope-intercept? *
Answer:
Step-by-step explanation:
That equation is y = mx + b, where m is the slope and b is the y-intercept. You must have the values of both of these to write the equation of a straight line in slope-intercept form.
Ángels paints 55 square feet per 1/2 hour. How many squat feet dose she paint in an hour
Answer:
110
Step-by-step explanation:
just multiply it by 2
Answer:
110
Step-by-step explanation:
if she paints 55 in half an hour then in a hour she will paint 110 because 55+55=110
Andria graphs the two equations below on the same coordinate plane.
y = −2x − 4
y = x + 5
At what point do the graphs of the equations intersect?
A (−3, −2)
B (3, −2)
C (−3, 2)
D (3, 2
Answer:
B (-3 -2)
Step-by-step explanation:
Hope this helps pls mark me brainliest
Find the range of the relation below then to determine whether the relation is a function
Answer:
A.
Step-by-step explanation:
PLEASE HELP 100 POINTS!
BRAINLIEST TO WHOEVER ANWSERS FIRST
I think that the functions would be anything that would function like a math equation! Like K and O
Answer:
.
Step-by-step explanation:
Tristan and two of his friends purchased tickets to a school play. Tristan paid for all the tickets with a $50.00 bill and received $23.00 in change. If Tristan used a coupon for 25% off, what was the original price for one ticket?
Answer:
$12.00
Step-by-step explanation:
The cost of each ticket will be $18.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Tristan and two of his friends purchased tickets to a school play. Tristan paid for all the tickets with a $50.00 bill and received $23.00 in change.
Then the cost of the ticket will be
Cost = ($50 - $23) / 2
Cost = $27
If Tristan used a coupon for 25% off. Then the original price for all tickets will be
Original cost = $27 / 0.75
Original cost = $36
Then the cost of each ticket will be
Cost of each ticket = $36 / 2
Cost of each ticket = $18
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ6
Charlotte owns two entertainment websites. Here are some details about those websites for the one entire month.
1) Charlotte thought of two different ways to define this quality. Identify these two definitions among the following options.
Answer question 1- (choose 2)
Number of new subscribers divided by number of posts.
Number of new subscribers divided by number of words
Answer to question 2- (choose 1)
No.The definition have opposite results.
Answer:
1.) a. revenue divided by number of posts
b. revenue divided by total number of words
2.) c. no.
Step-by-step explanation:
Answer:
1.
a) Revenue divided by number of posts
b) Revenue divided by total number of words
2.
c) No. The definitions have opposite results.
explain what the slope represents in this situation.
Answer:
The slope is 1/4
Step-by-step explanation:
It goes up one unit and runs across 4 units.
Answer:
The slope equals 1/4
Step-by-step explanation:
Which one?
A. B. C. or
D?
Answer: D. 6sqrt3
Step-by-step explanation:
Factor them out
3sqrt3 + 3sqrt3 = 6sqrt3
what is the sum of + and -
Answer:
Step-by-step explanation:
The sum of + and - is -
BRAINLIEST BRAINLIEST ANSWER NUMBER 2 PLEASE
f is a function from (0, 4] to {$7, $14, $21, $28}
the pdf attached has the answers to all the questions on you assignment
Answer:
f(4) = 7x
Step-by-step explanation:
As we are to be writing the function in function notation this simply means in terms of f(x).
With the value of having 4 hours, you would input this number in terms of f(x).
This would then give you the solution of:
f(4) = 7x because he is working for 4 hours and is paid 7 dollars an hour.
Evaluate and simplify
1. -(5x -4)
2. 10 - 2(4x - 6y)
4. 1/2 (-6y + 9z)
5. 2(3a + 9b) - 4(2a - 2)
Answer:
1. -5x +4
Step-by-step explanation:
1. you have to distribute the negative sign to the numbers in the parenthesis. So -(5x)= -5x, and -(-4)= 4. Sk your left with -5x + 4 which you cannot simply bcs those are not equal values, so the answer is -5x + 4.
On a test, Gina got 5/6 of the answers correct and Teddy got 7/8 of the answers correct. Who did better on the test?
The intersection of a line and a plane is
Answer:
The intersection of a line and a plane can be a/an ;
Empty setPointLineStep-by-step explanation:
What is the surface area of the cylinder shown?
8 m
5 m
If the radius is 5 and the height is 8:
[tex]A=2\pi rh+2\pi r2=2*\pi*5*8+2*\pi*5^{2}[/tex] ≈ [tex]408.41 m[/tex]
If the radius is 8 and the height is 5:
[tex]A=2\pi rh+2\pi r2=2*\pi*8*5+2*\pi*8^{2}[/tex] ≈ [tex]653.45m[/tex]
PLEASE HELP...
1.) Solve y = x - 5 if the domain is -3
2.) Solve y = x - 5 if the domain is 5
WHO WANTS A BRAINLIEST !!!!
Answer:
1) y=-8
2) y=0
Step-by-step explanation:
I just plugged it in for the domain (x)
(honestly its been a while since I've done tis so I'm only about 74% sure)
Mr. Wong wants to purchase 12 new smoke detectors for his house. Store A sells each smoke detector
for $17 and Store B sells each smoke detector for $24. If Mr. Wong purchases all his smoke detectors
at Store A, how much less will he spend than if he purchased all the smoke detectors at Store B?
A. $84
B. $120
C. $72
D. $204
Answer:
A-84
Step-by-step explanation:
12*17=204
12*24=288
288-204=84
Answer:
$84?
Step-by-step explanation:
dominique paid $280 to rent the party room at kt escape room for 3 1/2 hours. what would it cost to rent the room for one hour
Answer:
Step-by-step explanation: black lives dont matter
What is the slope of all lines parallel to the line
16x – 20y = -9?
Answer:
[tex]16x - 20y + 9 = 0[/tex]
In a four-year period, about 80,000 acres of coastal wetlands in the US are lost each year. What integer represents the total change in coastal wetlands?
Answer:
-80,000
Step-by-step explanation:
An integer is a whole number , can be positive or negative
Since we are talking about a loss here, then we have something being subtracted
Hence, we are expecting a negative value;
So the integer representing the total change in coastal wetlands will be -80,000
A tree casts a show of 15 meters, while a 2-meter post nearby casts a shadow of 3 meters. How tall is the tree?
Answer:
10 meters tall.
Step-by-step explanation:
If the 2 meter post casts a 3 meter long shadow the ratio
is 3:2 where 3 is the shadow and 2 is the height.
3*5=15
2*5=10
Answer:
The tree is 10 meters tall.
Step-by-step explanation:
The tree's shadow is 5 times longer than the shadow of the post. So the height of the post times 5, which is 10 meters.
15/3=5
5(2)=10
tell me what 1 plus 1 is and u get 100 points and brainliest
Answer:
2
Step-by-step explanation:
thanks for the points
Answer:
2
Step-by-step explanation:
1+1=2
The supplementary angle of 136° is
Answer:
i think it is 44
Step-by-step explanation:
I am sorry if it is wrong
Answer:
a 44 degree angle
Step-by-step explanation:
The supplement of a 136 degree angle would be a 44 degree angle because:
136 + 44 = 180.
136 + x = 180
136 - 136 + x = 180 - 136
x = 44
Answer the last question
10 times less than !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Twice the complement of an angle is 50 less than the angles supplement. Find the measure of the angle
*PLEASE HELP AND ILL DO FACE REVEAL*
Answer:
25
Step-by-step explanation:
1) = -50 - 48?
13) What is the solution to -- 2c + 3(40
(.304 scoot
& - 26 )
the solution to the following inequality 34 - a_6(a - 8)?
Answer:
hold on on minute I'm doing the work right now