Answer:
Step-by-step explanation:
We are given the sequence
[tex]15, 29, 49, 75, 107\\15->29 = 14\\29 -> 49 = 20\\49->75 = 26\\75 -> 107 = 32\\14, 20, 26, 32\\14 -> 20= 6\\20 -> 26 = 6\\26 -> 32 = 6\\\\6, 6, 6\\6->6 = 0[/tex]
Since we had to find the differences twice, it is a second degree polynomial
[tex]y = an^2 + bn + c\\plugging \: in \: n = 1, 2, 3...\\the \: sequence \: is \\a+b+c, 4a + 2b + c, 9a + 3b + c...\\the \: diff \: under \: is \\3a + b, 5a + b, 7a + b...\\the \: diff \: under \: is \\2a, 2a, 2a...\\so, \\2a = 6\\a = 3\\3(3) + b = 14\\b = 5\\\\a +b + c = 15\\3 + 5 + c = 15\\c = 7\\[/tex]
so,
[tex]y = 3n^2 + 5n + 7[/tex]
Write an equation of the line that passes through the points ( 4, 2), (0, -6) *
9514 1404 393
Answer:
y = 2x -6
Step-by-step explanation:
One form you can use for this purpose is ...
(x2 -x1)(y -y1) = (y2 -y1)(x -x1)
Filling in the given point values, this is ...
(0 -4)(y -2) = (-6 -2)(x -4)
-4y +8 = -8x +32
Generally, we like the equation to have coefficients with no common factors. All of these coefficients can be divided by -4.
y -2 = 2x -8
This can be rearranged to any form you may like--or left as is.
y = 2x -6 . . . . . slope-intercept form
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
12 m to 20 m
HELP ME ILL MARK YOU !!
Answer:
3/5
Step-by-step explanation:
use the graph below to determine how many cakes mary sells after 4 hours
Answer:
8
Step-by-step explanation:
follow the graph
Answer:
D. 8
Step-by-step explanation:
Look for 4 the x axis and go up until you see the dot. Whatever is on the y-axis is your answer(8)
Which number is greater .
35 or 61
Answer:
61
Step-by-step explanation:
Because you need to use the Greater than or less than shortcut
how to graph y=-4x+2
find the ratio of 500 paise to rs.20
We know that 100paise=1 rupee
=>500 paise = 5 rs
ratio =5/20=1/4=1:4
hope it helps :)
plz mark as brainliest
Which ones are functions and which ones aren't?
Answer:
1. A is function.
2. A, is function
3. B is function.
Step-by-step explanation:
Hope it helps.
Answer:
1) B
2) A
3) B
Step-by-step explanation:
In a function... no value can be repeated in the domain
This is especially easy to discern in graphs because of the Horizontal Line Test
A student traded four pieces of chocolate pour seven pieces of hard candy at this rate how many pieces of chocolate could be treated for 35 pieces of hard candy
Answer: 20 pieces of chocolate could be treated for 35 pieces of hard candy.
Step-by-step explanation:
Equation of direct proportion between two quantities x and y :
[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
Put [tex]x_1=4,\ y_1=7,\ y_2=35, x_2=x[/tex]
[tex]\dfrac{4}{7}=\dfrac{x}{35}\\\\\Rightarrow\ x=\dfrac{35\times4}{7}\\\\\Rightarrow\ x=20[/tex]
Hence, 20 pieces of chocolate could be treated for 35 pieces of hard candy.
For Emily’s birthday, her father treated her and five friends to a dinner at a restaurant at the mall. Emily and her friends ordered three pizza dinners at $6.25 each and three chicken baskets at $7.50 each. All six people ordered soft drinks costing $1.25 each. The sales tax on the meal was 4.5%, and the tip was 15%. What was the total cost of the meal, including the sales tax and the tip?
Answer:
58.25
Step-by-step explanation:
C is the total cost of the meal, fifty-eight dollars and twenty-five cents.
First, find the cost of the meal, which is forty-eight dollars and seventy-five cents.
To calculate the amount of the sales tax, use the proportion, amount of sales tax divided by cost of meal equals sales tax rate divided by one hundred.
Substitute the known values. Amount of sales tax divided by forty-eight dollars and seventy-five cents equals four point five divided by one hundred.
Cross multiply. One hundred times amount of the sales tax equals forty-eight dollars and seventy-five cents times four point five.
Divide both sides by one hundred to find that the sales tax equals two dollars and nineteen cents.
Then, to calculate the amount of the tip, use the proportion, amount of tip divided by cost of meal equals tip percent rate divided by one hundred.
Again, substitute the known values into the proportion, amount of tip divided by forty-eight dollars and seventy-five cents equals fifteen divided by one hundred.
Then, cross multiply. One hundred times amount of tip equals forty-eight dollars and seventy-five cents times fifteen.
And, divide both sides by one hundred to find that the tip equals seven dollars and thirty-one cents.
Finally, add the amounts together to find the total cost of the meal was fifty-eight dollars and twenty-five cents.
Answer: 56.25
Step-by-step explanation:
An amount P at 6% for 5 years compounded monthly increased to $15000.00. What is P? (Round answer to cents)
Simplify square root of 5 multiplied by the cube root of 5 . (10 point)
Group of answer choices
5 to the power of 7 over 6
5 to the power of 2 over 3
5 to the power of 5 over 6
5 to the power of 1 over 6
[tex] \sqrt{5} \times \sqrt[3]{5} [/tex]
[tex] {5}^{ \frac{1}{2} } \times {5}^{ \frac{1}{3} } [/tex]
[tex] {5}^{ \frac{1}{2} + \frac{1}{3} } [/tex]
[tex] {5}^{ \frac{3}{6} + \frac{2}{6} } [/tex]
[tex] {5}^{ \frac{5}{6} } [/tex]
[tex] \sqrt[6]{ {5}^{5} } [/tex]
Quadratic – vertical compression by a factor of 1/3, vertical shift up 5 units
Answer:
Step-by-step explanation:
I used a site it won't let me mention... for this graph
This is if "vertical compression by a factor of 1/3, vertical shift up 5 units" translates to...
[tex]f(x)=\frac{1}{3} (x^2+5)[/tex]
The equation that has vertical compression by a factor of 1/3, vertical shift up 5 units will be y = (1/3)x² + 5.
What is the parabola?It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
The equation of a quadratic function, of vertex (h, k), is given by:
y = a(x – h)² + k
where a is the leading coefficient.
The vertical compression by a factor of 1/3, vertical shift up 5 units.
a = 3
(h, k) = (0, 5)
Then the equation will be
y = 1/3(x – 0)² + 5
y = (1/3)x² + 5
More about the parabola link is given below.
https://brainly.com/question/8495504
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Write a function g whose graph represents a reflection in the y-axis of the graph of f(x)=|2x−1|+3.
Answer:
1) y = -f(x) (This is the reflection about the x-axis of the graph y = f(x).) That is for every point (x, y) there is a point (x, -y). Look at the example graphs below of y = x2 and y = -x2. Notice the green graph is simply the same as the blue graph folded down
C. Solve for each quotient:
8÷5/8
I Mark brainlies
Answer:
12.8
Step-by-step explanation:
8÷5/8 is also the same as:
8 x 1/5 x 8
Proof:
For the function f(x)
Find f(4)
Answer:
12
Step-by-step explanation:
f(x) = 3x
f(4) = 3(4) = 12
just need to sub in the x value :)
Topic: Functions
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Answer:
12
Step-by-step explanation:
3x x=4
4x3=12
..
.
.
.
.
.
Help me please i don’t wanna fail
Answer:
B
Step-by-step explanation:
Evaluate each value expression for the given value of x : 4x/3, x=9
FAST PLSSS!!!!!!!!!!!!!
Answer:
5x
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
A pack of four bags of coffee cost $39.96. How much would 16 bags of coffee cost.
SHOW YOUR WORK
Answer:
$159.84
What we know - 4 bags cost $39.96
What we need to know - How much 16 bags cost
Step-by-step explanation:
We can solve this by simply knowing how many times 4 goes into 16. We can do this by writing the equation 16 ÷ 4 = 4. We now know that 4 goes into 16 4 times. By doing this we can now multiply $39.96 by 4 to get the cost of 16 bags which is $159.84.
Hope this Helps!!! :) Please comment below with some feedback!
How do you prove 2 lines are congruent
Answer:If they have the same length or if their parallel but that’s not always the case.
Step-by-step explanation:
Answer:
If the two lines have the same length and width.
Step-by-step explanation:
Correct me if I am wrong but I am pretty confident that it is the answer by going from logic.
Please I need help with that, I am desperate. Brainliest for someone who gets it right
As a salesclerk, you earn $75 per week plus $2 per sale. You want your weekly
pay to be at least $125. Which inequality is correct?
(a) 2x + 75 < 125 (c) 75 + 2x > 125
(b) 2x + 75 < 125
(d) 75 + 2x > 125
A sandwich is 5 1/2 feet long and divided into 1/2 foot pieces. How many pieces of sandwich are there?
Answer:
11
Step-by-step explanation:
Answer:
11 sandwich pieces
Step-by-step explanation:
In 2010 the continent of South America had a population of 395,280,204. Which of the following is the closest estimate of this number
Round to the nearest power of 10
3 x10^8
4×10^7
4x10^8
4x10^9
Answer:
4 x 10⁸
Step-by-step explanation:
Well 4 x 10⁸ is 400, 000, 000 which is the closest to 395, 280, 204. For future reference, the number of powers the 10 is raised to is the number of zeros it will have.
15.2·0.25−48.51÷14.7/x = ( 13/44 − 2/11 − 5/66 ÷2 1/2 )·1 1/5 / 3.2+0.8·(5 1/2 −3.25)
Plz Answer soon. Need by today
Answer:
x=25
Step-by-step explanation:
Hope it right
Masha’s grandmother lives 250 miles away. How many hours will it take the family to reach grandmother’s house if they are driving at an average speed of 50 miles per hour?
Macy's charges $12 for an item plus a $10 shipping and handling charge for the order. What is the cost of an order of of 5 of those items?
Answer pls idk get it pls
Answer:
$72 is your answer
Step-by-step explanation:
hope this helps ♡
Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children
under the age of 12.
Write and solve a system of equations to represent the given scenario. Use the variables “a” for adults and “c” for children
plzz help
Answer:
Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under the age of 12. Part A: Write a system of equations to represent the given scenario. Use the variable "a" for adults and "c" for children. 1.
Step-by-step explanation:
Hope this helps
Use the figure to find the measure of angle 1. *
Answer: angle 1 = 110 degrees
This is because angle 1 and the red 110 degree angle are corresponding angles.
They correspond to one another due to the fact they are both in the southwest corner of each 4-corner angle configuration (which is the result of crossing two lines)
Corresponding angles are congruent only when we have parallel lines like this.
what is the equivalent expression plzz help
Find m∠BOC in the figure if m∠AOC = 77°.
Question 18 options:
A)
71°
B)
18°
C)
65°
D)
59°
Answer:
Answer of this is... D... 59
According to the figure the value of ∠BOC is 59. So, the correct option is option D.
Given:
∠AOC = 77°
According to the figure ∠AOB = 3X and ∠BOC = 7X + 17
∠AOC = ∠AOB + ∠BOC.
Plugging the values in this equation.
Then we get,
77 = 3X + 7X + 17
Subtract 17 on both sides.
77 - 17 = 3X + 7X + 17 - 17
60 = 3X + 7X
After simplify we get,
60 = 10x.
X = 6
To find the ∠BOC.
∠BOC = 7X + 17.
Plugging the value of X in this equation.
∠BOC = 7 * 6 + 17
∠BOC = 42 + 17
∠BOC = 59.
Therefore, the value of ∠BOC is 59.
Learn more about Angle here:
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