Which of the following equations represents a function (15 points)
Find the midpoint of the segment with the following endpoints (4,2 ) and (1,8)
Answer:
2.5, 5
Step-by-step explanation:
294 is equal to the quotient of f and 373
Write the sentence as an equation
Answer:
f/373 = 294
Step-by-step explanation:
Find the sum of integers from 33 to 47:
Answer:
Step-by-step explanation:There are formulas to work this out, but you can also suss out an answer by a liberal application of critical thinking.
Okay, you want to add 51 + 52 + 53 + … + 99 + 100, right? (The … represents all the numbers in between, in case you were wondering.)
Well, that’s a total of 50 numbers. And if you know anything about addition, you know that it doesn’t matter what order you add them.
So you could also say 51 + 100 + 52 + 99 + 53 + 98 + … and so on.
Let’s see what happens. 51 + 100 = 151. So far so good.
Then, 52 + 99 also equals 151. And 53 + 98 also equals 151. Since there are 50 numbers, that’s 25 pairs that are going to add up to 151.
151 + 151 + 151 + 151 + … (21 more instances of 151).
So we can simplify our workload a bit. Instead of adding up all the numbers by hand, we can just multiply 151 by 25.
151 x 25 = 3775
From that, we can work out a generic formula that will allow you to add any sequence of numbers…without actually adding.
Let a be the first number in the sequence, and let n be the last number in the sequence. The number of numbers is (n - a) + 1. (You have to add 1, because if you just subtract, it’s like you’re losing the lowest number in the sequence).
So…you get the sum by adding the first and last number in the sequence, and then multiplying that result by half of the total number of numbers.
(a+n)((n−a)+12)
an−a2+a+n2−an+n2
−a2+a+n2+n2
−a(a−1)+n(n+1)2
Let’s check to see if it works!
−51(51–1)+100(100+1)2
−51(50)+100(101)2
−2550+10,1002
75502
3775
Note that if the starting number were 1, the formula would simplify to n(n+1)2
Following are the calculation to the sum of integers:
Given:
33 to 47
To find:
Sum of integers=?
Solution:
Given numbers:
33 to 47
[tex]\to \bold{33,34,35,36,37,38,39,40,41,42,43,44,45,46,47}[/tex]
Using formula:
[tex]\bold{S = \frac{n(a + l)}{2}}[/tex]
[tex]n=15\\\\a=33\\\\l=47 \\\\ \bold{S = \frac{15(33 + 47)}{2}}\\\\[/tex]
[tex]\bold{= \frac{15(80)}{2}}\\\\\bold{= \frac{1200}{2}}\\\\\bold{= 600}[/tex]
Therefore, the sum of the integers "600".
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PLEASE HELP I NEED TO PASS!
Which table has a constant of proportionality between y and x of 2?
A
B
C
HELP!
Answer:
Its B
Step-by-step explanation:
Multiply x by 2 to get your answer
If a stock falls from $14.89 to $6.47, then what is its percentage of change?
Answer:
2.30139104 US dollar
i think
Step-by-step explanation:
NEED HELP ASAP WILL GIVE 100 points to who anwsers! Celia simplified the expression Negative 4 x (1 minus 3) minus (2 x + 2). She checked her work by letting x = 5 in both expressions. Her work for the original expression is shown below. Negative 4 x (1 minus 3) minus (2 x + 2) = negative 4 (5) (1 minus 3) minus (2 (5) + 2) = negative 20 (negative 2) minus 12 = 40 minus 12 = 28. Celia knows that the simplified expression should also equal 28 when x = 5. Which shows Celia’s simpllifed expression? –6x – 1 –6x + 2 6x + 1 6x – 2
Answer:
6x-2
Step-by-step explanation:
Celia’s simplified expression:
6x - 2.
The last option is correct.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given Phrase:
Celia simplified the expression Negative 4 x (1 minus 3) minus (2 x + 2).
That means,
-4x(1 -3) - (2x +2).
She checked her work by letting x = 5 in both expressions.
That means,
-4(5)(1 -3) - (2(5) +2).
= 40 - 12
= 28.
To find the simplified expression:
-4x(1 -3) - (2x +2),
= 6x - 2.
Therefore, the required expression is 6x - 2.
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X^2+(2)b+(-35) then the factored form is?
Answer:
2b+2x-35
Step-by-step explanation:
let me know if wrong
Find the M_ABC in the diagram below.
A
B
(16y-12)
(12y + 8)
E
Answer:
where is the diagram
Step-by-step explanation:
One store was selling a box of baseball cards for $20. You have to pay 9% sales tax on the item.
1. How much would the tax be?
2. What would be the total cost of the baseball cards?
Answer: 1. $1.80
2. $21.80
Step-by-step explanation:
You apply sales tax to 20 which is 9% or 0.09 so you p multiply 20 by 0.09 which is 1.8. That’s the tax then add that to 20 and get 21.80
Mark the brainliest it would be aprreciated
slope=-2 y intercept=0
Answer:
Step-by-step explanation:
I am assuming you want an equation
y=mx + b
m is the slope, and b is the y intercept, so just fill in the info
y=-2x + 0
because it is just + 0, you can simply write:
y=-2x
Note: I'm not completely sure of what you're asking, but I hope this helps in some way, shape, or form!! If not, feel free to tell me what you need, and I will edit my response.
Six friends arrive at a party their arrival increases the number of people at the party by 20% in total how many people are now at the party
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Suppose that the number of the people in the party is :
[tex]x[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
20 % of x equals :
[tex] \frac{20}{100} \times x = 0.2x \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Thus ;
[tex]0.2x = 6[/tex]
[tex] \frac{2}{10}x = 6 \\ [/tex]
Multiply sides by 10
[tex]10 \times \frac{2}{10} x = 10 \times 6 \\ [/tex]
[tex]2x = 60[/tex]
Divided sides by 2
[tex] \frac{2}{2} x = \frac{60}{2} \\ [/tex]
[tex]x = 30[/tex]
There were 30 people in the party.
Thus there are ;
[tex]30 + 6 = 36[/tex]
People at the party now.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The given table of values represents a linear equation. What is the slope?
A. 4
B. 5
C. 3
D. 6
Answer:
C. 3
Step-by-step explanation:
Formula for slope is given as [tex] m = {y_2 - y_1}{x_2 - x_1} [/tex]
The coordinates of any two points can be used in this formula. Let's use, (1, 5) and (2, 8).
Let,
[tex] (1, 5) = (x_1, y_1) [/tex]
[tex] (2, 8) = (x_2, y_2) [/tex]
Plug the values into the formula:
[tex] m = {8 - 5}{2 - 1} [/tex]
[tex] m = {3}{1} [/tex]
[tex] m = 3 [/tex]
Michael deposits $8000 into an account that pays simple interest at a rate of 6%per year. How much interest will he be paid in the first 6 years?
Mr. Carter is building a circular fire pit in his backyard. The diameter of the fire pit is 6 feet and he will fill the interior with gravel covering 5/6 of the area. How much gravel will he need?
A. 23.55 sq. ft.
B. 28.26 sq. ft.
C. 94.2 sq. ft.
D. 113.04 sq. ft.
Answer:
23.55
Step-by-step explanation:
To calculate the area I did the following equation
area = 3.14 (r) (r)
area = 3.14 (3) (3)
area = 28.26
The area is 28.26 but the question is asking how much gravel would be needed to fill 5/6 of the area.
The equation for 5/6 out of 28.26 is
28.26 (5/6) = 23.55
So the final answer is (a.) 23.55 sq. ft.
I’m so sorry when I asked my question before the picture didn’t load so here is what I needed help with. So sorry
Answer: 3.75
Step-by-step explanation:
Hope this helps
On a coordinate plane, a triangle is shown. It has points A prime (4, 2), B prime (8, negative 8), and C prime (4, negative 8).
What is the pre-image of vertex A' if the rule that created the image is ry-axis(x, y) → (–x, y)?
A(–4, 2)
A(–2, –4)
A(2, 4)
A(4, –2)
Answer:
The answer for this question would be A(-4,2) because the preimage of 4,2 would be A(-4,2).
Answer:
The answer would be option a) A(–4, 2)!
Step-by-step explanation:
Just got it right on Edge. - hope this helps :D
SOH CAH TOA
Find the missing side.
Round to the nearest tenth.
Answer:
1- 50
2-49
3-22
Step-by-step explanation:
just add the sides that you have and then subtract the sum by 90 becasue theu are right triangles
Gina's family goes to a theme park. The family pays a $12 fee to park their car and buys admission tickets for all 5 family members. Her family pays a total of $132 . Which equation can be used to solve for t , the price of one admission ticket?
A.
5(12+t)=132
B.
5t+12=132
C.
5(12)+t=132
D.
5+12+t=132
Answer:
B
Step-by-step explanation:
5t + 12 = 132
We know the price of parking and we know what they paid in total. There are 5 members with the unknown price.
Answer:
B
Step-by-step explanation:
You're trying to find how much a ticket, which is t. you need 5 tickets for the family, plus the twelve dollar fee which is there anyways for the car, and it add up to 132. subtract 12 from 132 and you get 120. 120 divided by 5 is 24. so 24 dollars for a ticket, but the equation you would need is 5t+12=132
Ben and Sam are driving in a lake.at 14 feet below the surface, ben spots sam 9 feet directly below him.find smash deprh
Sam's depth is 25 feet as 14 + 9 = 25
8s+15-4s=7s +6 solve for s
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
[tex]1.)~Combine~8s~and~-4s:[/tex]
[tex]\bold{8s+(-4s)=4s}[/tex][tex]2.)~Subtract~7s~from~both~sides:[/tex]
[tex]\bold{7s-7s=Cancels~out}[/tex][tex]\bold{4s-7s=-3s}[/tex][tex]3.)~Subtract~15~from~both~sides:[/tex]
[tex]\bold{15-15=Cancels~out}[/tex][tex]\bold{6-15=-9}[/tex][tex]4.)~Divide~both~sides~by~-3:[/tex]
[tex]\bold{-3s}[/tex] ÷ [tex]\bold{-3s=Cancels~out}[/tex][tex]\bold{-9}[/tex] ÷ [tex]\bold{-3=3}[/tex][tex]\bold{When~there~is~2~negatives~being~divided,~the~quotient~is~always~positive.}[/tex]______________________________
[tex]\bold{Answer:}[/tex]
[tex]\boxed{s=3.}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~~-TotallyNotTrillex}[/tex]
The length of a rectangle is eight centimeters less than twice its width. If the perimeter of
the rectangle is 20 centimeters, find its dimensions.
Answer:
width of given rectangle = 6 cm
length of given rectangle = 4 cm
Step-by-step explanation:
Let the breadth be x cm
given that
The length of a rectangle is eight centimeters less than twice its width
length of rectangle in terms of x = 2(breadth ) - 8 = 2x - 8
we know perimeter of rectangle is given = 2(l + b)
thus, perimeter of given rectangle is = 2 ( x + 2x - 8) = 6x - 16
also given perimeter of the rectangle is 20 centimeters
thus,
6x - 16 = 20
6x = 20 + 16 = 36
x = 36/6 = 6
Thus,
width of given rectangle = 6 cm
length of given rectangle = 2*6 - 8 = 4 cm
your hair is 5/16
inch long. Write this length as a decimal.
Answer:
0.3125
Step-by-step explanation:
in decimal form. Use our fraction to decimal calculator to convert any fraction to a decimal and to know if it is a terminating or a recurring (repeating) decimal.
Answer:
0.3125
Step-by-step explanation:
9. If m ABZ = m_ZBC Then Ray BZ is called А Z B с MLABZ + m_ZBC = M LABC O Adjacent Congruent Midpoint Angle Bisector Oline segment BZ Clear selec
Is the function f(x) = x even, odd or neither?
Answer:
odd
Step-by-step explanation:
Please answer showing work on paper if you can.
Simplify: 9-4x + 2x² + 8x' +1+ 6x2
A
4x + 3x² +15
B 4x3 + 8x2 + 10
C 5x + 8x2 +9
D 5x + 10x² + 7
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
combine like terms
solve -3/5y=-9
What does y=?
Answer:
Step-by-step explanation:
3/5
express 52/9 as a decimial
Hey there!
In order for you to convert/ express a fraction as a decimal you SHOULD:
DIVIDE the numerator (the TOP number) from the denominator (the BOTTOM number)
Now that we have that guide/side note we can answer your question, shall we?
52/ 9 = 5.777778
If you’re rounding to your Answer, then it’ll be: 5.78
Overall answer is: 5.777778 ✅
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Write the income equation for a small business that
begins with $150 and grows by 20% each year. When
will the company's income be $300?
Answer:
in 4 years
Step-by-step explanation:
because you should find the 20% of 150
150×20=3000
3000÷100= 30
so 20% of 150 is 30
then you keep adding 30 to the results till you reach 300
The equation is 150+30x=300 and it takes 3 years for the company to earn $300.
Given that, a small business begins with $150 and grows by 20% each year.
We need to find when will the company's income by $300.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Now, 20% of 150=30
Let x be the number of years.
So, f(x)=150+30x
⇒150+30x=300
⇒30x=150
⇒x=3
The equation is 150+30x=300 and it takes 3 years for the company to earn $300.
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