Answers
Answer:
The fraction of all shapes are circle is 3/4 (18/24)
Step-by-step explanation:
* Lets explain how to solve the problem
- There are white and black circles
- There are white and black squares
- The ratio of the number of white shapes to the number of black
shapes is 5/1
∴ The total of the ratio of the all shapes is 5 + 1 = 6
∴ The ratio of the number of the white shapes to the number of all
shapes is 5/6
∴ The ratio of the number of the black shapes to the number of all
shapes is 1/6
- The ratio of the number of white circles to the number of white
squares is 3/1
∴ The total of the ratio of the white shapes is 3 + 1 = 4
∴ The ratio of the number of the white circles to the number of white
shapes is 3/4
∵ The ratio of the number of the white shapes to the number of all
shapes is 5/6
∴ The ratio of the number of the white circles to the number of the all
shapes = 3/4 × 5/6 = 15/24
- The ratio of the number of black circles to the number of black
squares is 3/1
∴ The total of the ratio of the black shapes is 3 + 1 = 4
∴ The ratio of the number of the black circles to the number of black
shapes is 3/4
∵ The ratio of the number of the black shapes to the number of all
shapes is 1/6
∴ The ratio of the number of the black circles to the number of the all
shapes = 3/4 × 1/6 = 3/24
- The ratio of the number of the circles to the number of the all shapes
is equal to the sum of the ratio of the white and the black circles to
the number of all shapes
∴ The ratio of the number of the circle to the number of all shapes is
15/24 + 3/24 = 18/24 ⇒ divide up and down by 6
∴ The fraction of all shapes are circle is 3/4
Related Questions
If p(x)=2x^2 -4 and q(x)=x-3, what is (p*q)(x)
Answers
Answer:
2x^3 - 6x^2 - 4x + 12.
Step-by-step explanation:
(p*q) (x) = (2x^2 - 4)(x - 3)
= 2x^3 - 6x^2 - 4x + 12.
For this case we have the following functions:
[tex]p (x) = 2x ^ 2-4\\q (x) = x-3[/tex]
We must find [tex](p * q) (x).[/tex] For definition, we have to:
[tex](p * q) (x) = p (x) * q (x)[/tex]
So:
[tex](p * q) (x) = (2x ^ 2-4) (x-3)[/tex]
We apply distributive property:
[tex](p * q) (x) = 2x ^ 3-6x ^ 2-4x + 12[/tex]
Answer:
[tex](p * q) (x) = 2x ^ 3-6x ^ 2-4x + 12[/tex]
Which of the following are solutions to the equation below. Check all that apply
Answers
Answer:
B. -2√2 - 5
C. 2√2 - 5
Step-by-step explanation:
The left side of the equation is already a perfect square.
Let us factorize it first.
x²+10x+25=8
x(x+5)+x(x+5)=8
(x+5)²=8
Let us take the square roots of both sides.
x+5=±√8
But √8=±2√2
Therefore in surd form, the two solutions become:
x+5=2√2 or x+5=-2√2
Therefore x= 2√2-5 and -2√2+-5
Brayden starts out riding his bike for 5 kilometers. He stops and takes a turn and rides his bike
14 more kilometers. After resting, he takes another road that will lead him back toward his starting
point. He is only on that road for 8 kilometers. Is it possible that he made it back to his starting point
Explain your answer and include a sketch to support your argument.
Part I: Sketch the route that represents Brayden's route. Label the distance traveled for each
portion of his ride.
Part ll: Is it possible that he made it back to his starting point?
Answers
Answer:
it is not possible that Brayden made it back to his starting point.
Step-by-step explanation:
Part 1: Step 1: Define the map scale
REAL:MAP
1 km : 1 cm
5 km : 5 cm
14 km : 14 cm
8 km : 8 cm
Step 2: Sketch the map according to the scale.
Shown on the map in the picture attached.
Part 2: As shown on the map, it is not possible that Brayden made it back to his starting point.
!!
for a baseball team the ratio of wins and ties and losses is 4:3:1 if the team has won 12 games how many games have they lost
Answers
Answer: 3 losses
Step-by-step explanation: The win to loss ratio is 4:1. Their losses are 1/4 of their wins. Multiply 12, their number of wins, by 1/4.
12 x 1/4 = 3
They have lost 3 games.
Given the ratio of 4:3:1 for wins, ties, and losses, and the information that the team has won 12 games, you calculate that '1 part' of the ratio equals 3 games by dividing 12 by 4. As losses are represented by '1 part' in the ratio, the team has lost 3 games.
Explanation:In this baseball team scenario, the ratio of wins to ties to losses is 4:3:1 respectively. You know that the team has won 12 games. In a ratio, every part represents something equivalent, so we need to find what '1 part' is. Since '4 parts' represents 12 wins, you divide 12 by 4 to get '1 part', which is 3 games. Therefore, since losses represent '1 part' of your ratio, the team has lost 3 games.
Learn more about Ratio here:https://brainly.com/question/32531170
#SPJ11
HELPP MEEEEEEEE pleaasssssssseeeeee
Answers
Answer: Not sure if I’m correct but I’m pretty sure
x = 90
Step-by-step explanation:
Total figure = 360 degrees
107+72+91=270
360-270=90
Answer:
x=90 degrees
Step-by-step explanation:
The sum of the 4 angles of a quadrilateral add to 360 degrees
Add the 4 angles
72+107+x+91 = 360
Combining like terms
270 +x = 360
Subtract 270 from each side
270+x-270 = 360-270
x = 90
The unknown angle is 90
What is the slope of the line?
y+5=2(x+1)
A. 1/5
B. 2/5
C. 2
D. 1/2
Answers
Rewrite the equation in slope-intercept form:
y+5=2(x+1)
Use the distributive property:
y+5 = 2x +2
Subtract 5 from each side:
y = 2x -3
The slope is the value with the X
The slope = 2
Answer:
2.5
Step-by-step explanation:
2(x+1)=y+5
2x+1=y+5
y+5=6
in addtion y can be add
so we have now...
2x+1=6
minus 1 from 6 and get 5
2x=5
5 divide by 2 = 2/5
Hope it helps
A bag has 4 yellow, 6 red, 2 green, and 8 purple marbles. What is the probability of picking a purple marble, not replacing it, and then picking another purple marble?
A.12/95
B.1/190
C.14/95
D.2/25
Answers
Answer:
Step-by-step explanation:
Add all 8/20 marbles multiply Times 5 40/100 = 40%
Answer =40%
Find the distance between -18 and 8 using the ruler postulate
Answers
[tex]\bf \underset{\textit{\Large 18 + 8 = 26 units}}{\stackrel{\textit{18 units}}{\boxed{-18}\rule[0.35em]{10em}{0.25pt}}0\stackrel{\textit{8 units}}{\rule[0.35em]{5em}{0.25pt}\boxed{8}}}[/tex]
Answer:
26Step-by-step explanation:
The ruler Postulate:
the distance between number A and number B
AB = |B - A|
We have A = -18 and B = 8. Substitute:
|8 - (-18)| = |8 + 18| = |26| = 26
Convert the improper fraction into a mixed number. 6 1/8 divided by 1 3/4
Answers
Answer:
4 19/32
Step-by-step explanation:
convert into improper fractions
6 1/8= 49/8
1 x 3/4= 3/4
49/8 x 3/4 = 147/32
reduce into mixed number
4 19/32
To convert the mixed numbers 6 1/8 and 1 3/4 to improper fractions, resulting in 49/8 and 7/4, respectively. Then, perform the division as multiplication with the reciprocal of the second fraction, which yields 3 1/2.
Explanation:Firstly, it's essential to convert the mixed numbers into improper fractions. The given mixed numbers are 6 1/8 and 1 3/4. We can convert 6 1/8 to an improper fraction by multiplying 6 (the whole number) by 8 (the denominator) and then adding 1 (the numerator) to get 49/8. With 1 3/4, we multiply 1 (the whole number) by 4 (the denominator), then add 3 (the numerator), which gives us 7/4.
Now, the division 49/8 ÷ 7/4 can be performed. To divide fractions, we multiply the first fraction by the reciprocal of the second. Therefore, we will multiply 49/8 by 4/7. The result is 196/56. This simplifies to 3 1/2 when converted back to a mixed number.
Learn more about Fraction Division here:https://brainly.com/question/17205173
#SPJ3
what will be the circumference of a circle if the area is 64cm
Answers
Given that area of circle is 64cm we can assume we will need to first find radius and then calculate circumference.
First we know that area of a circle is [tex]A=\pi r^2[/tex] hence [tex]r=\sqrt{\dfrac{A}{\pi}}[/tex]
We can now put in our area,
[tex]r=\sqrt{\dfrac{64}{\pi}}\approx20.37[/tex]
Then we use the formula for circumference,
[tex]C=2\pi r\Longrightarrow C=2\pi\cdot20.37\approx\boxed{128\mathbf{cm}}[/tex]
Hope this helps.
r3t40
3y2+5y-(4y2+5)-8y2-(-7-3y2)
Answers
Answer:
[tex]-6y^2+5y+2[/tex]
Step-by-step explanation:
I'm assuming you want to simplify:
[tex]3y^2+5y-(4y^2+5)-8y^2-(-7-3y^2)[/tex]
Distribute to get rid of the ( ):
[tex]3y^2+5y-4y^2-5-8y^2+7+3y^2[/tex]
Put like terms together:
[tex]3y^2-4y^2-8y^2+3y^2+5y-5+7[/tex]
Combine the like terms:
[tex]-6y^2+5y+2[/tex]
PLEASE HUREY IXL QUESTION
Answers
Answer:
5 12/24 -> -0.5 -> -5 6/20
Step-by-step explanation:
Negatives are lasts and positive goes first! Since the order is greatest to least.
-5 6/20 is less than -0.5 because *think of a number line -5 6/20 will be all the way to the left because it large in negative value
Simplity
[tex]( \sqrt{5} )( \sqrt[3]{5} )[/tex]
A.
[tex] 5\frac{5}{6} [/tex]
B.
[tex]5 \frac{1}{6} [/tex]
C.
[tex]5 \frac{2}{3} [/tex]
D.
[tex]5 \frac{7}{6} [/tex]
Answers
Answer:
A.
5 ^ (5/6)
Step-by-step explanation:
5 ^ (1/2) * 5 ^ (1/3)
We know that a^b * a^ c = a ^ (b+c)
5 ^ (1/2 + 1/3)
5^ (3/6+2/6)
5^ (5/6)
Answer:
5^(5/6)
Step-by-step explanation:
5^(1/2)*5^(1/3)=5^(1/2+1/3)=5^(5/6)
When multiplying numbers with same base you add the exponents.
Subtract 15mn - 22m +2n from 14mn - 12m +7n.
Answers
Answer:
[tex]\large\boxed{-mn+10m+5n}[/tex]
Step-by-step explanation:
[tex](14mn - 12m +7n)-(15mn - 22m +2n)\\\\=14mn-12m+7n-15mn-(-22m)-2n\\\\=14mn-12m+7n-15mn+22m-2n\qquad\text{combine like terms}\\\\=(14mn-15mn)+(-12m+22m)+(7n-2n)\\\\=-mn+10m+5n[/tex]
A music store owner noted that CD sales had dropped 29% from one quarter to the next. If the owner sold 570 units in the first quarter, how many did she sell in the next quarter?
Answers
Answer:
About 405
Step-by-step explanation:
570 CDs were sold the first quarter.
The second quarter CDs had dropped 29% from the first quarter (570).
Dropped, you should think you are subtracting.
So we need to
simplify 570-.29(570):
570(1-.29)
570(.71)
404.7
404.7 --> 405 (when rounded)
Step-by-step explanation:In order to find the answer to your question, we would need to find how much of 570 is 29%, and subtract that number to 570.
The reason why we would do this is because in the question, it says that the sales dropped 29% for one quarter to the next. This means that the next quarter would drop 29%.
We know that they sold 570 units, so we would use 570 in our calculations.
We know that the sales decrease by 29%, so we would multiply 570 by 0.29 to find how much of 570 is 29%.
[tex]570*0.29=165.3[/tex]
29% of 570 is 165.3
What we would do now is subtract 570 by 165.3 in order to fin how much sales they made in the next quarter.
[tex]570-165.3=404.7[/tex]
Once you're done solving, you would get the answer of 404.7
This means that they sold 404.7 (405 when rounded) CDs in the next quarter.
I hope this helps you out.Good luck on your academics.Have a fantastic day!What is the solution set for x-4>2?
Answers
Answer:
(6,∞)
x > 6
Step-by-step explanation:
Solve by adding 4 to both sides.
[tex]x-4>2\\x>6[/tex]
To put this in interval notation for your solution set, consider your sign.
You have a greater than sign, which means that 6 is not a solution. In interval notation, that means that you should use parentheses " ( " instead of brackets " [ ".
Your solution set goes on infinitely, and infinity also uses parentheses rather than brackets.
You can write your solution set in interval notation as follows:
(6, ∞)
What is(y^4/3 x y^2/3)^-1/2
Answers
[tex]\bf \left( y^{\frac{4}{3}}xy^{\frac{2}{3}} \right)^{-\frac{1}{2}}\implies \left( y^{\frac{4}{3}}y^{\frac{2}{3}}x \right)^{-\frac{1}{2}}\implies \left( y^{\frac{4}{3}+\frac{2}{3}}x \right)^{-\frac{1}{2}}\implies \left( y^{\frac{6}{3}}x \right)^{-\frac{1}{2}} \\\\\\ (y^2x^1)^{-\frac{1}{2}}\implies \left( y^{-\frac{1}{2}\cdot 2}x^{-\frac{1}{2}\cdot 1} \right)\implies y^{-1}x^{-\frac{1}{2}}\implies \cfrac{1}{y}\cdot \cfrac{1}{x^{\frac{1}{2}}}\implies \cfrac{1}{y\sqrt{x}}[/tex]
Step-by-step explanation:
[tex]\text{Use}\\\\a^n\cdot a^m=a^{n+m}\\\\(a^n)^m=a^{nm}\\\\a^{-1}=\dfrac{1}{a}\\============================\\\\\bigg(y^\frac{4}{3}\cdot y^\frac{2}{3}\bigg)^{-\frac{1}{2}}=\bigg(y^{\frac{4}{3}+\frac{2}{3}}\bigg)^{-\frac{1}{2}}=\bigg(y^{\frac{4+2}{3}}\bigg)^{-\frac{1}{2}}\\\\=\bigg(y^{\frac{6}{3}}\bigg)^{-\frac{1}{2}}=\bigg(y^2\bigg)^{-\frac{1}{2}}=y^{(2)\left(-\frac{1}{2}\right)}=y^{-1}=\dfrac{1}{y}[/tex]
write the equation of the direct variation that includes the given point (-6,5)
Answers
[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (\stackrel{x}{-6},\stackrel{y}{5})~~ \begin{cases} x=-6\\ y=5 \end{cases}\implies 5=k(-6)\implies \cfrac{5}{-6}=k~\hfill \boxed{y=-\cfrac{5}{6}x}[/tex]
Find the measure of C in the picture please
Answers
Answer:
Option A. The measure of angle C is 140°
Step-by-step explanation:
see the attached figure with letters to better understand the problem
we know that
The triangle OAB is an isosceles triangle
Because
OA=OB=radius
m∠BAO=m∠ABO=20°
Find the measure of angle C
Remember that the sum of the interior angles of a triangle must be equal to 180 degrees
so
m∠BAO+m∠ABO+m∠C=180°
substitute the given values
20°+20°+m∠C=180°
m∠C=180°-40°=140°
What is the area of the sector having ....
Answers
Answer:
D) 160π/3 units²
Step-by-step explanation:
Step 1: Write the formula for area of sector
Area of sector = 1/2 x r² x angle in radians
Step 2: Substitute values in the formula
Area of sector = 1/2 x 8² x 5π/3
Step 3: Solve to find the value of area of sector
Area of sector = 160π/3 units²
Therefore, the correct option is D
!!
Simplify the expression and then evaluate it for the given value of the variable:
12+7x−(1−3) for x=−1.7
Answers
Answer:
25.9
Step-by-step explanation:
12+7x−(1−3) (evaluate parentheses first)
= 12+ 7x - (-2)
= 12+ 7x + 2
= 14+ 7x
When x = 1.7, equation becomes
14+ 7(1.7)
= 14 + 11.9
= 25.9
A student was given the following diagram and asked to prove that 21 4 22.
What would be the reason for the third step in the proof?
Given: Line A and line Bare parallel.
Prove: 21 22
Answers
Answer: vertical angles are congruent.
Step-by-step explanation:
Answer: Vertical angles are congruent.
Step-by-step explanation:
Given : Line A and line Bare parallel.
To prove : ∠1≅∠2
We know that when two lines crosses each other, they make vertically opposite angles.
In picture , we have ∠2 and ∠3 are vertical angles.
And it is known that the vertical angles are congruent.
Therefore, ∠2 ≅ ∠3
So the correct reason to the statement "∠2 ≅ ∠3" is "Vertical angles are congruent."
A coffee distributor needs to mix a(n) Organic Free Trade coffee blend that normally sells for $8.30 per pound with a Rift Valley coffee blend that normally sells for $13.90 per pound to create 80 pounds of a coffee that can sell for $10.82 per pound. How many pounds of each kind of coffee should they mix?
Answer: They must mix
_____ pounds of the Organic Free Trade Blend
______ pounds of the Rift Valley Blend.
Round your answers to the nearest whole number of pounds.
Answers
Answer:
They must mix
_44_ pounds of the Organic Free Trade Blend
_36__ pounds of the Rift Valley Blend.
Round your answers to the nearest whole number of pounds.
Step-by-step explanation:
The formula you are using is:
Total price * total amount= Organic price * amount organic + Rift price * amount rift
First we will simplify it by calculating it for each pound of final mix.
So this is 10.82 * 1 = 8.30 * x + 13.90 * y.
Since the total amount should be 1 pound, you could say that x+y = 1, or that y = 1-x.
If you fill this in you get
10.82 * 1 = 8.30 * x + 13.90 * (1-x)
Which you can solve as follows.
10.82 * 1 = 8.30 * x + 13.90 - 13.90x
10.82 = 13.90 - 5.6x
-5.6x = -3.08
x = -3.08/-5.6 = 0.55
So you will need 0.55 of Organic coffee for each pound of the final mix.
So in total you will need 0.55 * 80 = 44 pounds of Organic coffee.
So you need 80 - 44 = 36 pounds of Rift Valley Coffee.
To produce the desired coffee blend, the coffee distributor needs to mix approximately 51 pounds of Organic Free Trade Blend with 29 pounds of Rift Valley Blend.
Explanation:This problem falls under a category of Mathematics known as Algebra. We'll start by defining two variables: x, representing the weight of the Organic Free Trade Blend, and y, representing the weight of the Rift Valley Blend.
From the total weight of the mix, we get our first equation: x + y = 80
Then, by weighing the cost of each part against the total, we get our second equation: 8.3x + 13.9y = 10.82 * 80.
Solving these two equations simultaneously, we find that approximately 51 pounds of Organic Free Trade and 29 pounds of Rift Valley blend are needed to create the desired mixture.
Learn more about Simultaneous Equations here:https://brainly.com/question/31913520
#SPJ3
A population of 1,000 bacteria is treated with a medicine and begins to die 5% each hour. How can the bacteria population be determined after a number of hours, ℎ?
a. (ℎ)=0.95(ℎ+1,000)
b. (ℎ)=1,000·ℎ^0.95
c. (ℎ)=0.95ℎ+1,000
d. (ℎ)=1,000·0.95^ℎ
Answers
Answer:
[tex]1000(.95)^h[/tex]
Step-by-step explanation:
[tex]h(t)=A \cdot B^t[/tex] is an exponential equation where A is the beginning amount and B is the rate that the population grows or dies.
So we start with 1000 bacteria, they are giving us A.
The bacteria population is decreasing because they are dying 5% each hour.
So that is after the first hour we have 1000-.05(1000) or 1000(1)-1000(.05)=1000(1-.05)=1000(.95).
We will keep multiplying by .95 per hour. 0.95 is the repeated factor.
That is the function is [tex]1000(.95)^h[/tex].
If you let h=0 which means 0 hours has happened, you will see the bacteria is 1000 as desired. 1000(.95)^0=1000(1)=1000.
The bacteria population can be determined using the formula (ℎ)=1,000·0.95^ℎ, which represents exponential decay at a rate of 5% each hour. therefore, option D is correct
Explanation:To determine the bacteria population after a number of hours, we need to use the formula (ℎ)=1,000·0.95^ℎ. This formula represents the exponential decay of the bacteria population at a rate of 5% per hour. The initial population is 1,000, and each hour the population decreases by 5% (or 0.95).
For example, after 1 hour, the population can be calculated as (1,000)·(0.95)^1 = 950 bacteria. After 2 hours, the population would be (1,000)·(0.95)^2 = 902.5 bacteria, and so on.
Therefore, the correct answer is (d) (ℎ)=1,000·0.95^ℎ.
Learn more about bacteria population here:https://brainly.com/question/41375953
#SPJ3
30m = 6000 Find m
I don't have any answers to choose from, I have to figure this out myself, but i can't, evidently
Answers
Answer:
m = 200
Step-by-step explanation:
30 m = 6000 Divide both sides by 30
30 m / 30 = 6000 / 30
m = 200
Point C is reflected across the y-axis.
Point C is reflected across the y-axis.
Which point represents the reflection?
A. Point D
B. Point E
C. Point G
D. Point M
Answers
hope this helps you :)
Mr. Jones asks his students to generate the next two numbers in the sequence beginning –5.5, 11, ....
Taquan suggests that the sequence is geometric and the next two numbers are –22 and 44. Julia suggests that the sequence is arithmetic and the next two numbers are 27.5 and 44.
Which best explains which student is correct?
Taquan is correct. When the signs change in a sequence, the sequence is geometric. Each successive term is generated by multiplying by –22 .
Julia is correct. When the numbers alternate between decimals and whole numbers, the sequence is arithmetic. Each successive term is generated by adding 16.5.
Both students could be correct about the types of possible sequences. However, one student made a computational error because it is not possible to arrive at a fourth term of 44 in two different ways.
Both students could be correct. Because two numbers are given in the original sequence, it is possible to find a common difference and common ratio between the successive terms.
Answers
Answer:
D
Step-by-step explanation:
Both students could be correct. Because two numbers are given in the original sequence, it is possible to find a common difference and common ratio between the successive terms.
A sequence could either be arithmetic or geometric. The truth statement about the correct student is:
Both students could be correct. Because two numbers are given in the original sequence, it is possible to find a common difference and common ratio between the successive terms.
Given that:
[tex]-5.5, 11, .....[/tex]
If the sequence is arithmetic, then the common difference is
[tex]d = 11 --5.5[/tex]
[tex]d = 16.5[/tex]
So, the next two elements are:
[tex]T_3 = 11 + 16.5 =27.5[/tex]
[tex]T_4 = 27.5 + 16.5 =44[/tex]
If the sequence is geometric, then the common ratio is
[tex]r =\frac{11}{-5.5}[/tex]
[tex]r= -2[/tex]
So, the next two elements are:
[tex]T_3 = 11 \times -2 = -22[/tex]
[tex]T_4 = -22 \times -2 = 44[/tex]
Based on the above computations, both students are correct.
Read more about sequence at:
https://brainly.com/question/3927222
A pair of parallel lines is cut by a transversal, as shown below.
Answers
A (x=y)
By vertical angles, the angle opposite y is equal to y, and x = y because it would transform isometrically onto x (as can be seen by the parallel lines because the transversal can be treated as parallel to itself)
How do you do 6 divided by 11 bus stop method, please explain the steps?
Answers
First, you think about if 11 can go into 6. Since it can’t you move on another digit by adding a decimal after the six and a 0 after the decimal. Also remember to play a decimal above the place where the decimal is in the box. Next, you think about if 11 can go into 60, it can go in 5 times. So the answer is approximately .5. I will attach a picture if it helps.
To describe a specific arith-
metic sequence, Elijah wrote
the recursive formula:
[ f(0) = 30
f(n+1)=f(n)+7
Write a linear equation that
models this sequence
Answers
Answer:
[tex]f(x) = 7x + 30[/tex]
Step-by-step explanation:
We need at least two points to write the equation of a straight line.
The recursive formula that Elijah wrote is:
[tex]f(0) = 30[/tex]
[tex]f(n + 1) = f(n) + 7[/tex]
When we substitute n=0, we get:
[tex]f(0 + 1) = f(0) + 7[/tex]
[tex]f(1) = 30 + 7[/tex]
[tex]f(1) = 37[/tex]
The points (0,30) and (1,37) lies on this line.
The equation of this line is of the form:
[tex]f(x) = mx + b[/tex]
where b =30 is the y-intercept and m=7 is the slope.
We plug in these values to get:
[tex]f(x) = 7x + 30[/tex]
Note that the slope of the line is equal to the common difference of the Arithmetic Sequence.
You could also use the two points to find the slope:
[tex]m = \frac{37 - 30}{1 - 0} = 7[/tex]