Answer:
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3
Step-by-step explanation:
The recursive formula lets us find a term in the sequence by adding the common difference d to the previous term.
Here d = a₂ - a₁ = - 9 - (- 6) = - 9 + 6 = - 3 , thus
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3 with a₁ = - 6
11. One taxi company charges $10 plus $0.10 per mile for a fare to the airport. Another taxi
company charges $5.50 plus $0.35 per mile for the same fare. For how many miles will the two
companies charge the same amount?
Step-by-step explanation:
this answer will be 15 I think
A square root function has a domain of x > 5 and a range of y > 7. What is the range of its inverse?
Answer: C
Step-by-step explanation: just did the quiz
Using function concepts, it is found that the range of the inverse function is:
[tex]y \geq 5[/tex]
The range of a function is the data-set that contains all possible values the function can assume, that is, the values of y.In the inverse function, the inputs and outputs are exchanged, that is, the values of x on the function are the values of y on the inverse, and the values of y on the original function are the values of x on the inverse function, thus, the domain and range are also exchanged.In the original function, x assumes values in the interval [tex]x \geq 5[/tex], hence, in the inverse function, the values assumed by y, which is the range, is [tex]y = \geq 5[/tex]
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please help me please
Answer:
6x-3
Step-by-step explanation:
Let f(x) = x, and x=f(x) .
Re arrange to find formula. I.e
[tex] x = \frac{f(x) + 3}{6} \\ 6x = f(x) + 3 \\ f(x) = 6x - 3[/tex]
Which equation best models the data shown in the scatter plot?
In the graph of scatter plot, the range of the x axis is minus four to four by increment of one and the range of the y axis is minus seven to one by increment of one. On the x axis minus four, minus two, two, and four are labeled. On the y axis minus six, minus four, and minus two are labeled. On the graph, there are points at (-0.5, -7), (0, -5), (0.5, -4), (1, -3), (1, -1), and (2, 1).
A. y = x − 3
B. y = x − 5
C. y = 3x − 3
D. y = 3x − 5
Answer:
The correct option is;
D. y = 3·x - 5
Step-by-step explanation:
From the graph of the scatter plot created with Microsoft Excel, we have that the first and the last point describe a line of best fit, (with trend line equation included) therefore, we have;
The slope = (1 - (-7))/(2 - (-0.5)) = 3.2
Taking the slope of the line of best fit as approximately equal to 3, we have;
3.2 ≈ 3
The equation of the line in point and slope form is therefore;
y - 1 = 3 × (x - 2)
y = 3·x - 6 + 1
∴ y = 3·x - 5
Answer:
D
Step-by-step explanation:
18.
The perimeter of a rectangle is 42 inches. The length of the rectangle can be represented by x + 4 and its width can be represented by 2x minus 7. What is the width of the rectangle in inches?
8
9
12
10.3
p=2(l+b) =2(3x-3) =6x=48=x=8
Answer: It’s 8
Step-by-step explanation:
The distances traveled by car A car Afx x hours. are. represented by the graph and table below.
Answer: b
Step-by-step explanation:
The speed of car B is twice the speed of car A.
What is proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal. Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
For car A,
Time= 5 hours
Distance = 200 miles.
speed= 200/5
speed= 40 mph
and, In car B
Time= 6 hours
Distance= 480 miles
speed= 480/6
speed= 80 mph
Hence, the speed of car B is twice the speed of car A.
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Which expression is equivalent to 2cos2(StartFraction x Over 2 EndFraction) minus cosine (x)?
0
1
1 – 2cos(x)
1 + 2cos(x)
The expression is equivalent to 1
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given:
2cos²(x/2) - cos(x)
We know
cos x= 2cos²(x/2) + 1
2cos²(x/2) = cos x +1
Then,
2cos²(x/2) - cos(x)
= cos x +1 - cos x
=1
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Answer: B.1
Step-by-step explanation:
I did it on edge
Find the equation of the axis of symmetry of the following parabola algebraically.
y=-3x^2-6
y=−3x
2
−6
What is the product of:
200 x 32.6.
Answer:
6,520
Step-by-step explanation:
Because that is the answer when you multiply them together.
Answer:
6,520
Hope this helps!
What is the equation for this graph
FREUUUUUU POINTS +brainlest
Answer:
:P
Step-by-step explanation:
Write the equation for the following:
m = 6.5; (0, 3) (Write in the form of y=mx+b with NO spaces!)
EQUATION:
Answer:
y= 6.5x+3 is the equation
Tyler's brother earns $12 per hour. The store offers him a raise - a 5% increase per hour. After the raise, how much will Tyler's brother make per hour?
Answer: $12*0.05=$0.60. Then, add this amount to his current hourly rate. So he now makes $12.60.
Maeve has 40 cups of apple juice. She uses 5/8 of the juice to make punch. She then uses the remaining juice to pour single servings that are 1/5 cup each. How many single servings does Mandy pour?
Answer:
75 single servings
Step-by-step explanation:
First multiply
40*5/8
You’ll get 25
now 40-25=15
Using 15
15 divided by 1/5
15÷1/5
keep change flip
15*5
75
Answer:
75 servings
Step-by-step explanation:
1. Form an equation
As per the given information;
- starts with 40 cups of juice
- uses 5/8 of the juice
-Splits the remaining serving amongst people, giving each person (1/5) of a cup
Hence the equation is;
(40 - [tex]\frac{5}{8}[/tex](40)) ÷ [tex]\frac{1}{5}[/tex]
2. Solve the equation
(40 - [tex]\frac{5}{8}[/tex](40)) ÷ [tex]\frac{1}{5}[/tex]
Simplify;
(40 - 25) ÷ [tex]\frac{1}{5}[/tex]
Dividing by a fraction is the same as multiplying by the fraction's reciprocal;
(40 - 25) * 5
Follow the order of operations, remember the order of operations are;
1. parenthesis
2. exponents
3. multiplication, division
4. addition, subtraction
Parenthsis first
(40 - 25) * 5
15 * 5
Multiply next
15 * 5
75
Lin’s uncle is opening a bakery. On the bakery’s grand opening day, he plans to give away prizes to the first 50 customers that enter the shop. Every fifth customer will get a free bagel. Every ninth customer will get a free blueberry muffin. Every 12th customer will get a free slice of carrot cake.
Diego is waiting in line and is the 23rd customer. He thinks that he should get farther back in line in order to get a prize. Is he right? If so, how far back should he go to get at least one prize? Explain your reasoning.
Answer:
Diego is correct, he should move back one space.
Step-by-step explanation:
If every 5th customer gets a free bagel then you should be able to count up by 5s to figure out which people get the bagel. (5, 10, 15, etc.)
It would be the same for 9 and 12 (9, 18, 27, etc.) (12, 24, 36, etc.).
However, 23 is not divisible by 5, 9, or 12 (I moved on to division because it's the fast way to check)
But if you look at the multiples of 12 then you'll see that the 24th person would get a prize.
So, Diego should go back one space in order to get a prize because 23 is not a multiple of 5, 9, or 12. However, 24 is a multiple of 12.
Hope this helps and makes sense.
The amount of money you earn varies directly to the number of pizzas you sell. If you earn $44 for selling 8 pizzas, How many pizzas do you need to sell to earn $132?
1: Set up an equation
2:Solve the problem.
Answer:
You would need to sell 24 pizzas
Step-by-step explanation
132/44= 3
Take the 3 and times it by 8
3 x 8 = 24
You would need to make 24 pizzas
Each pizza is 5.50$
So an equation for this could be
5.50x P = C
P = Pizza
and C is the cash you earned
I hope this helps
vector u has initial point at (6,8) and terminal point at (3,-2). Vector v has initial point at (-4,-3) and terminal point at (1,-7). What is u-v in component form?
a.(-8,-6)
b.(-2,-6)
c.(8,6)
d.(12,16)
Answer:
Edg: A - (-8,-6)
Step-by-step explanation:
Using vector concepts, it is found that the component form of u - v is (-8,-6), option a.
-----------------------------------
The component form of a vector is given by its terminal point subtracted by its initial point.The subtraction of vectors is the subtraction of its components.-----------------------------------
Vector u has initial point at (6,8).Vector u has terminal point at (3,-2).Thus, the component form of vector u is:
[tex]u = (3,-2) - (6,8) = (3-6, -2-8) = (-3,-10)[/tex]
-----------------------------------
Vector v has initial point at (-4,-3).Vector v has terminal point at (1,-7).Thus, the component form of vector v is:
[tex]v = (1,-7) - (-4,-3) = (1 - (-4), -7 - (-3)) = (1 + 4, -7 + 3) = (5,-4)[/tex]
-----------------------------------
The subtraction of vectors u and v is the subtraction of it's components, thus:
[tex]u - v = (-3,-10) - (5, -4) = (-3 - 5, -10 - (-4)) = (-8, -10 + 4) = (-8,-6)[/tex]
The component form of u - v is (-8,-6), option a.
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it is given that x+4 is a factor of p(x)=2x³+3x²+ax-12.When p (x) is divided by x-1 the remainder is b.Show that a=-23 and find the value of the constant b
Answer:
Thanks for the points
Help emnenenememmeemmenenedudhshs
MS. Candos has 90 invitations to hand out. she will hand out 42 of them the rest will be handed out by 6 students how many got handed out an equal number if invitations
what is (-4) + 3 + (-5)
Answer:
-6
Step-by-step explanation:
-4 + 3 = -1
Add -1 to -5
-6
Hope this helps :)
Answer:
-6
Step-by-step explanation:
its addition so u can move them around due to (addition property)
so i took (-4) plus (-5) and got (-9)
then took (-9)+3 and got (-6)
PLEASE ANSWERRRR!!!!!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST!!
The scatterplot for a set of data points is shown. Choose the BEST estimate for R, the correlation coefficient.
Have a good day!!
I would say (1.7, 2.5) would be best for R (im pretty sure its where the blank is at lol)
btw I like your pfp :D
Brainliest if correct please help
Answer:
it is F
Step-by-step explanation:
carrots and beans combined is 11 and corn is 11
find the solution to the following system using substitution or elimination:
y = 3x + 2
y = -2x - 8
A. (-2, -4).
B. (-3/5, -34/5).
C. (-6/5, -8/5).
D. (1, 6)
Answer: A
Explanation:
Just use substitution because it's more efficient. Plug -2x-8 into y to make -2x-8=3x+2. Add 8 to both sides to get -2x=3x+10. Subtract 3x to both sides to get -5x=10. Divide -5 to both sides to get x=-2. Now, plug in x=-2 to one of the equations, let's use y=3x+2. The equation would be y=3(-2)+2. Multiply 3 and -2 to get -6. Add -6 to 2 and you'll result with y=-4.
C
L 6.1.3 Quiz: Exponents
Question 4 of 10
Which of the following is equal to divide 9•4
Answer:
36 ÷ 9= 4
Step-by-step explanation:
9 x 4= 36
The division equation for this is 36 ÷ 9= 4
The product of the expression 9 and 4 is 36.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Give that we have to multiply 9 with 4.
This means that 9 has to be added repeatedly up to 4 times or 4 has to be added repeatedly up to 9 times.
In both cases, the product must be the same.
9 multiplied by 4 = 9 + 9 + 9 + 9
Which is also equal to,
4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4
= 36
Hence the product is 36.
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Convert standard form 4x-2y=6
Answer:
4x(-2)x(-2)=6
yall help im drowning in work. 19 = 4a − 12
Answer:
a=7.75
Step-by-step explanation:
19 = 4a − 12. 19+12=31. 31/4=7.75
Answer:
7.75
Step-by-step explanation:
19 = 4a - 12
add 12 to both sides
31 = 4a
divide by 4 to isolate the variable
7.75 = a
Effie is selling candles to raise money for new soccer league equipment. A small candle sells for $8 and a large candle sells for $12. The number of large candles Effie sells must be greater than or equal to 2 times the number of small candles she sells. She has at most 48 candles to sell.
The number of small candles sold is represented by x and the number of large candles sold is represented by y.
What is the maximum revenue she can make?
$448
$512
$576
$588
Answer:
The answer is 576
Answer: 512
Step-by-step explanation:
what is 3 divided by 1/6?
Answer:
18
Step-by-step explanation:
Answer:
The correct answer is 18
Step-by-step explanation:
HAVE A GOOD DAY!
Use inductive reasoning to find the next two terms in the sequence:
400, 200, 100, 50, ______, ______