Can someone please explain this to me!
For the sequence an = 3 + 6 · (n − 1),
its first term is :
its second term is:
its third term is:
its fourth term is:
its fifth term is:
its common difference d=
[tex]a_n[/tex] is the n-th term in the sequence. So
• the first term (n = 1) is a₁ = 3 + 6•(1 - 1) = 3
• the second term (n = 2) is a₂ = 3 + 6•(2 - 1) = 9
• the third term (n = 3) is a₃ = 3 + 6•(3 - 1) = 15
• the fourth term (n = 4) is a₄ = 3 + 6•(4 - 1) = 21
• the fifth term (n = 5) is a₅ = 3 + 6•(5 - 1) = 27
The common difference between terms is what you get from subtracting consecutive terms in the sequence, or the number [tex]a_n-a_{n-1}[/tex]. Just by taking any two consecutive numbers from above, you have d = 6, since
9 - 3 = 6
15 - 9 = 6
and so on. More generally,
[tex]a_n-a_{n-1}=(3+6\cdot(n-1)) - (3+6\cdot(n-2))=6\cdot((n-1)-(n-2))=6[/tex]
The ratio of boys to girl in a school is 5:7 if there are 600 students, how many girls are there
Answer:
350 girls
Step-by-step explanation:
So,
The secret to solving problems with ratios is to find the value of one unit.
5:7 = 12 units total
To find one unit, divide the total number of students by the total number of units.
600/12 = a
Simplify
50/1 = a
50 = a
The value of each unit is 50.
Now, multiply the units by the numbers in the ratio.
50(5) = b
250 = boys
50(7) = x
350 = x
There are 350 girls.
Aunt Maggie’s car broke down on Interstate 10. Sam’s Towing charges a $57 hook up fee and $2.00 per mile towed. Regina’s Towing charges a $45 hook up fee and $2.50 per mile towed .Write a system of equations to represent the charges for the two towing companies. When will they charge the same amount?
Answer:
a and b
Step-by-step explanation:
yes
The various categories that are being graphed on a circle graph usually indicate what?
a. patterns
c. percentages
b. the title of the graph
d. a pie graph
The categories that are graphed on a circle usually represent the percentage. Option C is correct.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
A circle graph represents the percentage fraction, and a pie chart is the form of a circle graph, Where a whole circle represents the 100% composition of the entities and data set.
Thus, the categories that are graphed on a circle usually represent the percentage. Option C is correct.
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Isaiah learned a total of 12 appetizer recipes over the course of 4 weeks 1 point
of culinary school. After 6 weeks of culinary school, how many total
appetizer recipes will Isaiah know?
Which line appears to have an x-intercept of -3 and a intercept of 5?
The first graph shows the x-intercept of -3 and y - intercept of 5.
Option A is true.
What is Intercepts?
The points in which the graph crosses the two axis ( x and y axis) are called Intercepts.
Given that;
The x - intercepts = -3
And, The y - intercepts = 5
Since,
The x - intercepts = -3
That's mean the line cross at the point - 3 on x - axis.
And, The y - intercepts = 5
That's mean the line cross at the point 5 on y - axis.
Clearly, In graph first;
The graph of the line is crosses at the point on x - axis at the point -3 and y - axis at the point 5.
Therefore,
The first graph shows the x-intercept of -3 and y - intercept of 5.
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In the input/output rule: y = -2x - 5 What
would be the output of an input of -1? Write
only the number.
Answer:
-3
Step-by-step explanation:
(-2)*(-1) - 5
2 - 5 = -3
What value of x is in the solution set of 2x-3 > 11 - 5x?
OOOO
4
Mark this and return
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Answer:
x>2
Step-by-step explanation:
2x -3>11-5x
=2x+5x>11+3
=7x>14
=7x÷7>14÷7
=x>2
Reflect (4, -5) over the x axis
Answer: (4,5)
The answer is (4,5)
your welcome
Answer
4,5
Step-by-step explanation:
is your awnser......
Christie has a total of 15 pieces of fruit are bananas and apples worth $1.59 bananas are $.13 each and apples are seven cents each how many bananas and how many apples does she have
Answer:
a = apple
b = banana
a + b = 15 so a = 15 - b
0.07a + 0.13b = 1.59
substitute a = 15 - b into 0.07a + 0.13b = 1.59
0.07a + 0.13b = 1.59
0.07(15 - b) + 0.13b = 1.59
1.05 - 0.07b + 0.13b = 1.59
0.06b = 0.54
b = 0.54/0.06
b = 9
a = 15 - b
a = 15 - 9
a = 6
answer: 6 apples and 9 bananas
Step-by-step explanation:
solve the following quadratic equation by completing the square
Step-by-step explanation:
x=-14 plus/minus squared root of 1394 over 7
Describe how you know that (8 + 9) + 3 is
equivalent to 8 + (9 + 3). What is the benefit
to using this property?
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
(8 + 9) + 3 is equivalent to 8 + (9 + 3) using the property of associative.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
(8 + 9) + 3 = 17 + 3 = 20
8 + (9 + 3) = 8 + 12 = 20
This is the property of associative.
Thus,
(8 + 9) + 3 is equivalent to 8 + (9 + 3) using the property of associative.
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PLEASE ANSWERR CORRECTLY!!!!!!!!
WILL MARK BRAINLIEST FOR CORRECT ANSWER!!!!!!!!
At the beginning of the week, Naveen has 87 trading cards. On Monday, he gets 9 more. On Tuesday, he gives 16 away. On Wednesday, he is given 3 by a friend. On Thursday, he sells all of his cards to a collector. The collector pays him a rate of c for every card that Naveen has. If Naveen earns $124.50 from the sale, what is c, the rate that the collector pays for each card?
A) $1.08
B) $1.50
C) $41.50
D) $83.00
PLEASE ANSWER CORRECTLY!!!!!!!!
HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B) $1..50
Step-by-step explanation:
First, how many trading cards did Naveen have?
87 + 9 - 16 + 3 = 83
$124.50 / 83 = $1.50
Calculate the sum of the INTERIOR angles of a 16-gon.
Can someone please help me
Answer:
It's 78.50 or either 78.54
Step-by-step explanation:
Find the intercept of the y axis for 6x + 4y – 12z = 36. will give brainlest
(6, 4,-12)
(0, 0, -3)
(6, 0, 0)
(0, 9, 0)
Answer: ( 0, 9, 0)
Step-by-step explanation: They both equal 36 but i think (0, 9, 0) is the better fit out of (0, 9, 0), and (6, 0, 0)
Hope this helps :)
Find the measure of the missing angle
Answer:
154
Step-by-step explanation:
180-26=154
Find the missing side of this right triangle
Answer:
x ≈ 14.7
Step-by-step explanation:
use pythagorean therorem
a^2 + b^2 = c^2
c is hypotenuse and we know the hypotenuse is 21
a^2 + b^2 = c^2
x^2 + 15^2 = 21^2
x^2 + 225 = 441
x^2 = 216
x = √216
x ≈ 14.7
how do you solve graphs and make an equation from a line on a graph?
Always start on the y-axis.
rise/run
First things first, you have to know your positives, negatives, zeros, and undefined.
To make an equation from the graph you have to know your formula.
y=mx+b
You do the rise first. The rise on the graph is 3. The run is 2. So, that'll make it 3/2. m=slope.
b=y-axis. b=1.
y=3/2x+1 (Example from the image)
As a reward for winning a math competition, 26 students in the 7th grade visited a theme park. On one ride, 3 equal groups of students could be seated and 2 students were left over. Write and solve an equation to find how many students could be seated in each group.
Answer: in each group, there are 8 students.
Step-by-step explanation:
We have a total of 26 students.
If we separate them into 3 equal groups (suppose that each group has X students) and leave 2 students left, we will have the relation:
3*X + 2 = 26
This means that 3 times the number of students in each group, plus the two students leftover must be equal to the initial number of students.
Now we can solve this for X.
3*X + 2 = 26
3*X = 26 - 2 = 24
X = 24/3 = 8
X = 8
This means that in each group there are 8 students.
pls help. polynomials solving equations
Answer:
+9or -9 is the answer ☺️ you
Answer:
y will be equal to 0, 9, or 1
(y=0, 9, 1)
How many inches are in 1 2/5 groups of 1 2/3
2 and 4/15
2 and 4/8
2 and 1/3
2 and 2/3
Answer:
2 and 1/3
Step-by-step explanation:
1 2/5 = 7/5
1 2/3 = 5/3
(7/5) * (5/3) = 7/3
7/3 = 2 1/3
ection 1
If Frances can paint of a wall in 20 minutes, how long will it take her to paint a room with 4 walls?
60 minutes
100 minutes
400 minutes
500 minutes
Help me with these problems ASAP please! *look at attached images
Kailey and Justin both hire tutors for math and pay them per hour. After tutoring 8.5 hours, Justin pays his
tutor $242.25. The table below shows how much Kailey paid her tutor.
Which person paid more for tutoring and by how much?
Answer:
(A) kailey paid $3.50 more per hour
Answer:
kailey paid $3.50 more per hour
Step-by-step explanation:
Find the Average Rate of Change between the points given below.
(3, -7) and (5, 20)
Your answer:
PLEASEEE HELPPPP!!!!!
Answer:
the answer is 9.85
Step-by-step explanation:
the answer is 9.85 because the area is 19.7 so all you have to do is divide it by 2
2(x -1) + 1/2 (4x + 6)=5
X: -4. Y: -3
Step-by-step explanation:
PLEASE PLEASE HELP!!! urgently
f(x)=-2x+3
g(x)=3x+3
find f(1-x) + g(1-x)
Answer:
-5x + 11
Step-by-step explanation:
All you're doing is substituting.
f(x)=-2x+3
f(1-x) = 2(1-x)+3
= 2 - 2x +3
= -2x + 5
g(x)=3x+3
g(1-x) = 3(1-x)+3
= 3 - 3x + 3
= -3x + 6
Now add them together and combine like terms:
f(1-x) + g(1-x)
-2x + 5 + -3x + 6
= -5x + 11
WILL MARK BRAINLIEST DUE NOW!!!
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used,
Match each linear model to its inverse.
+2
y = -10 + 2
y = -x +
y =
- 2
Linear Model
Inverse
32 - 4y = 6
4x + 3y - 6
3x + 4y =-
42 - 3y -
Answer:
Min nikaribû bixwîne biborîne
Step-by-step explanation: