Answers
Answer:
7, 4, 1, and -2.
Step-by-step explanation:
Our recursive rule is:
[tex]f(1)=7\!, f(n)=f(n-1)-3[/tex]
Where n is the nth term.
So, our first term will be f(1). As defined, this is 7.
Our second term will be f(2). We will use the recursive formula. Substituting 2 for n yields:
[tex]f(2)=f(2-1)-3[/tex]
Subtract:
[tex]f(2)=f(1)-3[/tex]
We know that f(1) is 7. Substitute:
[tex]f(2)=7-3=4[/tex]
Hence, the second term is 4.
We will do the same thing for the third term. Substitute 3 for n:
[tex]f(3)=f(3-1)-3[/tex]
Subtracting yields:
[tex]f(3)=f(2)-3[/tex]
We know that f(2) is 4. So:
[tex]f(3)=4-3=1[/tex]
Hence, the third term is 1.
Finally, we will do the same thing. Substitute 4 for n to find the fourth term:
[tex]\begin{aligned} f(4)&=f(4-1)-3 \\ f(4)&=f(3)-3 \\ f(4)&=1-3 \\ f(4)&=-2\end{aligned}[/tex]
Hence, the fourth term is -2.
Therefore, our first four terms are 7, 4, 1, and -2.
Related Questions
⬚︎ - 5 = 6. what is the value of the square
Answers
11 is the value of the square
A polynomial identity is shown, where p stands for a polynomial.
x3+y3=p(x2−xy+y2)
ON TIMED ASSESMENT PLEASE HELP ASAP
Answers
Answer:
p=x+y
Step-by-step explanation:
Answer:
p=x+y
Step-by-step explanation:
that is the answer
What is the y-intercept of the line that passes through the points (2, -1) and
(-3, 9)?
Answers
Answer:
the y intercept is (0, 3)
Step-by-step explanation:
y = mx + c
where m is the slope and c is the y-intercept
[tex]m = \frac{y_2 - y_1}{x_2 - x_1 }[/tex]
[tex]m = \frac{9 - -1}{-3 - 2 }[/tex]
[tex]m = \frac{10}{-5}[/tex]
[tex]m = -2[/tex]
hence, y = -2x + c
input a pair of values, in this case i will use (2, -1)
-1 = -2(2) + c
-1 = -4 + c
-1 + 4 = c
3 = c
What is the y-intercept of the function f()=4-5x?
Answers
Answer:
Step-by-step explanation:
4
Solve for x.
(1/9)^x=27^x/9^2x-1
Answers
Answer:
x=-2
Step-by-step explanation:
Xiaoming is making cookies. Each batch of cookies uses3 eggs. If Xiaoming has 20 eggs, and assuming he has enough of the other ingredients to make the cookies what is the greatest number of batches that he can make ?
Answers
Answer:
6
Step-by-step explanation:
3(1)=3 3(2)=6 3(3)=9 3(4)=12 3(5)=15
3(6)=18 3(7)=21 3(8)=24
----------------------------------------------------
3(6)=18 is closest to 20
so the greatest number of batches Xiaoming can make is 6.
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $7 and each adult ticket sells for $9.50. There was a total of $883.50 in revenue from all ticket sales and the drama club sold 27 more adult tickets than student tickets. Determine the number of student tickets sold and the number of adult tickets sold.
Answers
Answer:
Student tickets 38 and adult tickets 65
Step-by-step explanation:
38x7= $266
65x9.5= $617.50
$266+$617.50=$883.50
Solve for x and then find the measure of angle, A.
Answers
Answer:
x = 25 ; m∠A = 148°
Step-by-step explanation:
∠A ≅ ∠B (alternate exterior angles)
(6x - 2)° = (4x + 48)°
2x = 50
x = 25
m∠A = 6(25) - 2 = 148°
Solve for c.
a (b – c) = d
a) c= d - ab/a
b) c= ab – d/b
c) c= ab – d/a
d) c= ab + d/а
Answers
Answer:
[tex]c=\frac{ab-d}{a}[/tex]
Therefore, the option 'c' is true
Step-by-step explanation:
Given the expression
[tex]a (b - c) = d[/tex]
Let's solve for c
[tex]a (b - c) = d[/tex]
Step 1: Add -ab to both sides
[tex]ab-ac+\left(-ab\right)=d+\left(-ab\right)[/tex]
[tex]-ac=-ab+d[/tex]
Step 2: Divide both sides by -a
[tex]\frac{-ac}{-a}=\frac{-ab+d}{-a}[/tex]
[tex]c=\frac{ab-d}{a}[/tex]
Hence, we conclude that:
[tex]c=\frac{ab-d}{a}[/tex]
Therefore, the option 'c' is true
Answer:
C) c=ad-d/a
Step-by-step explanation:
just took the test
your bill is $9.99. you leave a 10% tip. what is the final price of your meal?
Answers
please give brainliest as i’m trying to get to the next rank.
thanks!!
Decrease 10kg by 10%
Answers
Answer:
if you decrease 10 kg by 10% you get 9 kg
The value after the decrease in 10% is 9 kg
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total amount be A = 10 kg
Now , the percentage decrease in value = 10 %
So , the equation will be
The amount after decrease =
Total amount - ( percentage decrease in value x total amount )
And , the equation is
The amount after decrease = 10 - ( 10/100 ) x 10
= 10 - 0.1 x 10
= 10 - 1
The amount after decrease = 9 kg
Therefore , the value is 9 kg after decrease in 10 %
Hence , The value after the decrease in 10% is 9 kg
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Charlotte makes crepes using 5/8 cup of milk for every 1/2 cup of flour. She wants to know the amount of milk uses per cup of flour.
Answers
Answer:
1 1/4
Step-by-step explanation:
I got it right.
The milk uses per cup of flour will be 5/4 cups of milk per cup of flour.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
Charlotte makes crepes using 5/8 cups of milk for every 1/2 cup of flour.
She wants to know the amount of milk used per cup of flour. Then we have
⇒ (5/8) ÷ (1/2)
⇒ (5 / 8) x (2 / 1)
⇒ 5 / 4 cups of milk per cup of flour
The milk uses per cup of flour will be 5/4 cups of milk per cup of flour.
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12. In New Mexico, the state sales tax rate is 5.125%. If the price of a digital
camera sold in New Mexico is $294.35 including sales tax, what was the list price
of the digital camera? *
Help me lol I don’t wanna fail .
Answers
Answer:
15.08 if u round but it's really 15.079
-3/8(-4y+z) what is the answer to this? By simplifying.
Answers
Answer:
3y/2 - 3z/8 is the answer
Answer:
Step-by-step explanation:
PLEASE HELP AS SOON AS POSSIBLE (THANK YOU VERY MUCH IF YOU DO)
Answers
Answer:In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).
Step-by-step explanation:
Determine how (if possible) the triangles can be proved similar.
Answers
Answer:
It's not similar :)
hope this helps<3
The triangles are not similar because the sides are not proportional.
What are Similar Triangles?Similar triangles are those triangles which has the same shape but different size.
The length of sides and angles are proportional in similar triangles.
So we know that length of sides are proportional.
If we find the ratio of corresponding sides of the two triangles, then they must be equal to a common value.
We have only the length of two sides of each triangle.
If those sides are proportional, we must have an angle of each triangle to be equal.
Here, the angles formed by the intersecting lines are vertical angles and are thus equal.
Let's look if the sides are proportional.
20 / 36 = 5/9
24 / 42 = 4/7
Sides are not proportional.
Hence the given triangles are not similar.
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PLEASE HELP ASAP!!! Normal people- me- I WILL MARK FIRST ANSWER BRAINLIEST BUT IT HAS TO BE AN ACTUAL ANSWER (the question is in the image)
Answers
Answer:
It would be B
Step-by-step explanation:
We are planning a reception for our daughter. The hall that we are renting charges a $90 cleanup fee. In addition to the cleanup fee, they charge $29 per guest for food and drinks.
If we have $3,100.00 available, what is the maximum number of guest we can invite without going over our budget?
Answers
Answer:
The equation is y = 29x + 90. So, if you plug in 3,100.00 for y.
3,100.00 = 29x + 90
3,100.00 - 90 = 29x
3,010.00 = 29x
3,010.00/29 = 29x/29
x = 103 guests
Line a is parallel to line b. If the measure of <2 is 78°, what is the measure of <5?
Answers
Answer:
The measure of angle 5 is 102°
Corey, Laura, Paige and Jacob are baking a pumpkin pie. Each of them brings a different ingredient. When the pie is finished, 1/4 of the cinnamon that was brought is left, 1/3 of the nutmeg, 1/2 of the ginger, and 5/8 of the pumpkin remains. Corey's ingredient was used the most. Laura's ingredient was used the least. More of Paige's ingredient was used than Jacob's. Who brought the ginger?
Answers
1/4 cinnamon was left, so 3/4 was used.
1/3 nutmeg was left, so 2/3 was used
1/2 of ginger was left so 1/2 was left
5/8 of pumpkin was left so 3/8 was used.
Corey's was used the most, 3/4 is the largest used, so Corey had the cinnamon.
Laura's was used least, 3/8 is the smallest amount so Laura had the pumpkin.
2/3 is more then 1/2, so there was more ginger used than nutmeg.
More of Paige's was used, so Paige had the ginger.
a rental car company charges a customer $60 plus $0.32 per mile. write the equation that best describes the relationship between the cost, y, of renting the car and the number of miles, x, the car was driven
Answers
Answer:
0.32x + 60= y
Step-by-step explanation:
HELP ASAP
i need too know these
Answers
I know this lol
Answer:
3. y = 4
4. y = 40
Step-by-step explanation:
3. To find y, input the value of 2 for x in the equation y = 3x - 2.
y = 3(2) - 2
y = 6 - 2
y = 4
y is 4 when x is 2.
4. To find the answer we first have to make an equation in y=mx + b form, where b is the y-intercept and m is the slope. We know that the y-intercept is -5 because the table tells us that when x is zero, y is -5. So, we can use the y-intercept and a point In this example I will use point (6, 13)) to find the slope:
Input the values you know into the equation:
13 = 6m - 5
Add 5 to both sides to isolate the 6m:
18 = 6m
Divide both sides by 6 to isolate the m:
3 = m
Our slope is 3. Now that we know the slope and y-intercept, we can make our equation:
y = 3x - 5
We can use this equation to find y when x is 15:
Input 15 in place of x:
y = 3(15) - 5
Solve:
y = 45 -5
y = 40
When x is 15, y is 40.
Hope this helps :)
a quiz has 25 questions every correct answer scores 3 points Each incorrect answer loses 2 points. A question not answered scored 0 points. a student answers 15 questions 10 are correct how many points does he have?
Answers
Answer:
20
Step-by-step explanation:
10x3=30
5x-2=-10
10x0=0
30-10=20
20 points
Every week, Hector’s 20 hours earns $210.00. He earns a constant amount of money per hour.
Part B
Write an equation that can be used to determine Hector's earnings, in dollars, m, for h hours of work.
Answers
Answer: 20 weeks in 1 week
in 2 weeks 40
Step-by-step explanation:
This proves that the equation is true
i need help with the group 1 and group 2, what do i write in the boxes :((
Answers
Figure PQRS is shown below.
(Figure P Q R S has 4 congruent sides. 2 angles are right angles.)
Which names accurately describe figure PQRS? Select three options.
- parallelogram
- pentagon
- rectangle
- rhombus
- trapezoid
Thanks! Will be awarding brainliest to the person who answers the quickest.
Answers
Answer:
parallelogram, rectangle, rhombus
Step-by-step explanation:
have a wonderful day
Parallelogram, rectangle, rhombus names accurately describe figure PQRS.
What is Quadrilateral?A quadrilateral is a four-sided polygon, having four edges and four corners.
The given figure PQRS is a quadrilateral.
A parallelogram is a two-dimensional geometrical shape whose sides are parallel to each other.
A rectangle is a special case of a parallelogram in which each pair of adjacent sides is perpendicular.
A rhombus is a quadrilateral whose four sides all have the same length.
The figure satisfies the properties of parallelogram, rectangle and rhombus.
Hence, parallelogram, rectangle, rhombus names accurately describe figure PQRS.
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Dwayne and Alisha both correctly graphed a standard normal curve. Which of the following statements is true?
A) Neither the means nor the standard deviations of Dwayne’s and Alisha’s graphs must be the same.
B)The means of Dwayne’s and Alisha’s graphs must be the same but not the standard deviations.
C) The standard deviations of Dwayne’s and Alisha’s graphs must be the same but not the means.
D)Both the means and the standard deviations of Dwayne’s and Alisha’s graphs must be the same.
Answers
Answer:Both the means and the standard deviations of Dwayne’s and Alisha’s graphs must be the same.
Step-by-step explanation:
The solution is, the function y=10+×. is plotted below.
What is a function?A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.
here, we have,
The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.
It is a straight line because the degree of the variable or its maximum power is one.
Put x = 0
y = 10 + 0 = 10, therefore one point (0,10)
Put y = 0
0 = 10 +x
Another point since x = -10. (-10,0)
As shown in the graph below, a straight line should be drawn through both locations.
Any point on the line that does not satisfy the equation is a nonexistent point.
Hence the function y=10+×. is plotted below.
Learn more about the function, by the following link.
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Complete question:
Dwayne graphed the equation y=10+×. Which point does the graph not pass through?
An alloy consists of nickel, zinc, and copper in the ratio 2:7:9. How many pounds of nickel have to be used to create alloy that contains 4.9lb of zinc
Answers
Step-by-step explanation:
please mark me as the brainliest answer and please follow me
Answer:
the first one is wrong.
Step-by-step explanation:
YOU GET CORRECT YOU GET BRAINLIEST!!!!!!!
Answers
Answer: 6
Step-by-step explanation:
Which expression could be used to determine the cost of a $50 video game after a 20 percent discount?
50 dollars (0.20)
50 dollars minus left-bracket (50 dollars) (0.08) right-bracket
50 dollars minus 0.80
50 dollars (0.80). please a b c or d?
Answers
Answer:
d
Step-by-step explanation:
to find a discount you would multiply 50(0.20) whatever amount you get you would subtract that from 50
this is the same as 50(0.80)