Answer:
The slope is m=0
Explanation:But since the y-coordinates of the points are equal, we can find the slope easier than just by using above formula.
Explanation:But since the y-coordinates of the points are equal, we can find the slope easier than just by using above formula.If y-coordinates are equal and x-coordinates are not equal (as in our case), then the slope equals 00 (the line is horizontal).
Given f(x) = x^3 + kx + 2, and x + 1 is a factor of f(x), then what is the value of
k?
Answer:
k = 1
Step-by-step explanation:
Given that,
[tex]f(x) = x^3 +kx + 2[/tex]
If (x+1) is a factor of (x), we need to find the value of k.
Using remainder theorem to find it.
Put (x+1) = 0
x = -1
Put x = -1 in equation below.
[tex]x^3 + kx + 2=0\\\\(-1)^3+k(-1)+2=0\\\\-1-k+2=0\\\\1-k=0\\\\k=1[/tex]
So, the value of k is 1.
The nth term of a sequence is 2n + 1
The nth term of a different sequence is 3n - 1
Work out the three numbers that are in both sequences and also between 20 and 40
Answer:
The three numbers are 23, 29 and 35.
Step-by-step explanation:
Given: The nth term of a sequence is 2n+1 and the nth term of a different sequence is 3n-1.
To find: The three numbers that are in both sequences and also between 20 and 40.
Consider both the sequences.
Put n = 11 in the nth term 2n+1, we get 23.
So, the 11th term of first sequence is 23.
Now put n = 8 in the nth term 3n-1, we get 23.
So, the 8th term of the second sequence is 23.
Therefore, first number that is in both sequence and lies between 20 and 40 is 23.
Now put n = 14 in the nth term 2n+1, we get 29.
So, the 14th term of first sequence is 29.
Put n = 10 in the nth term 3n-1, we get 29.
So, the 10th term of the second sequence is 29.
Therefore, second number that is in both sequence and lies between 20 and 40 is 29.
If we put n = 17 in the nth term 2n+1, then we get 35.
That is, 17th term of first sequence is 35.
Now we put n = 12 in the nth term 3n-1, then we get 35.
That is, 12th term of second sequence is 35.
So, third number that is in both sequence and lies between 20 and 40 is 35.
Hence, the three numbers that are in both sequences and also between 20 and 40 are 23, 29 and 35.
The circumference of a circle that has a radius of 70 feet is most nearly
A. 220 feet.
B. 440 feet.
C. 660 feet.
D. 690 feet.
Answer:
B 440 feet
Step-by-step explanation:
C = 2(3.14)r
= 2(3.14)70 feet
= 6.28(70 feet)
= 439.6
439.6 is approximate to 440 feet
The area of the parallelogram below is ____ square meters.
Answer:
45 cm2
Step-by-step explanation:
your welcome I guess?
im doing the same test btw
EDIT: i finished my test this answer is wrong. pls do search for a different answer. because mine is wrong.
The population of people in a town increases by 100 each year. Which equation represents the situation? Let p represent the amount the population has increased and t represent the number of years.
Question 22 options:
t = 100 + p
p = 100 + t
p = 100t
t = 100p
Answer: p = 100t
Step-by-step explanation:
Assume that it had been 6 years.
100(6) = p
p = 600
There are 600 people in the town.
Need help #1. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.
Answer:
B
Step-by-step explanation:
We are given that x and y are functions of time t such that x and y is a constant. So, we can write the following equation:
[tex]x(t)+y(t)=k,\text{ where $k$ is some constant}[/tex]
The rate of change of x and the rate of change of y with respect to time t is simply dx/dt and dy/dt, respectively. So, we will differentiate both sides with respect to t:
[tex]\displaystyle \frac{d}{dt}\Big[x(t)+y(t)\Big]=\frac{d}{dt}[k][/tex]
Remember that the derivative of a constant is always 0. Therefore:
[tex]\displaystyle \frac{dx}{dt}+\frac{dy}{dt}=0[/tex]
And by subtracting dy/dt from both sides, we acquire:
[tex]\displaystyle \frac{dx}{dt}=-\frac{dy}{dt}[/tex]
Hence, our answer is B.
Answer:
Let x and y be functions of time t such that the sum of x and y is constant.
(B) is the right answer( -4, 3 ) ; m = 2 Write the equation of the line in point-slope form that passes through the given point with the given slope
[tex] \large \boxed {y - y_1 = m(x - x_1)}[/tex]
Substitute the coordinate point value in the equation[tex]y_1 = 3 \\ x_1 = - 4 \\ m = 2[/tex]
[tex]y - 3 = 2(x - ( - 4)) \\ y - 3 = 2(x + 4)[/tex]
Answer[tex] \large \boxed {y - 3 = 2(x + 4)}[/tex]
Find the 8th term in the following sequence.
32, 16, 8, 4, ..
02
O 114
O 1/2
O 1
✓15
Is this rational or irrational
Answer:
irrational
Step-by-step explanation:
√15 is not a rational number it's a irrational number
:-))
Answer:
Irrational
Step-by-step explanation:
Rational numbers are those that can be written in the form a/b where a and b are both integers with no common factors.
sqrt15 cannot be written in that form, therefore it is irrational.
(3x + 4) (1 - 1)
Evaluate the limit lim
a.-3
b. 3
c. 1
d limit does not exist
Please help! Offering 60 points to the first correct answer.
The table shows the balances of two bank accounts for 3 months. In what month will the balance of Account A be equal to the balance of Account B?
Month 0; Account A $50; Account B $450
Month 1; Account A $85; Account B $465
Month 2; Account A $120; Account B $480
Answer:
funny
Step-by-step explanation:
Answer: month 7
Step-by-step explanation:
My sis did it
r/3+2=21 solve for r
Answer:
r=63
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
r/3-(21)=0 r
Simplify —
3
r
— - 21 = 0
3 2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
21 21 • 3
21 = —— = ——————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
what am i supposed to put in that chart?
Answer:
as explained
Step-by-step explanation:
as in the photo i've shown :
i've shown the table for you both
i've shown the graph for one only the second one hope you can complete it if you have any questions you can ask.
for first one
if x=2 replace x=2 in f(x) you will get f(2)=4
f(3)=1
f(4)=0
f(5)=1
f(6)=4
Why did I start with x=2 and not x=1 because f(1)=9 in the graph provided there is no marking for y=9 but when drawing the graph extends it (as in photo 3 not as in photo 4)(graph in photo 3 is better)
Hope you understand(you can also put(2,4) ,(3,1) and so on in the graph as in photo 5
???????????????????????????
Answer:
-9
Step-by-step explanation:
please help me find the answer
An airplane 30,100 feet above the ground begins descending at the rate of 2150 feet per minute. Write and solve a linear equation to find how long it will take the plane to reach the ground.
Answer:
14 minutes.
Step-by-step explanation:
To create a linear equation that represents an airplane flying at an altitude of 30,100 feet, descending 2,150 feet per minute, that represents how long it will take for the airplane to touch down, proceed as follows:
2,150X = 30,100
X = 30,100 / 2,150
X = 14
Thus, the plane will take 14 minutes to reach the ground, descending 2,150 feet per minute from 30,100 feet.
Walden’s family is shopping for a reclining chair. The chair the family decided on has a retail price of $800 plus 5% sales tax at four stores. Each store is offering a different promotion.
Store
Promotional Offer
A
$75 instant rebate
B
10% off sale
C
5% off sale plus store pays sales tax
D
a “no tax” sale—the store pays the tax
Which store has the best deal?
Answer:
c
Step-by-step explanation:
someone else said c and i got it right
Work out the area of the triangle.
Answer:
30
Step-by-step explanation:
1/2(12)(5)
Answer:
30
Step-by-step explanation:
The area of a triangle is 1/2 bh
b= base, in this case 12 cm
h= height, in this case 5 cm
so you multiply 5 times 12 and you get 60
You take that 60 and half it to get your answer of 30.
Graph the line through(-5,-10), m=3
Answer:
below
Step-by-step explanation:
first put it in point-slope then slope intercept:
y+10=3(x+5)
y+10=3x+15
y=3x+5
now graph it
What expression is equivalent to 1/4(8-6x+12)?
A) 7/2x
B)-13/2x
C)-6x+14
D)-3/2x+5
3 consecutive integers for 273
Answer:
90, 91 and 92
Step-by-step explanation:
Given
Consecutive integers = 273
Required
Find the integers
The question seem to be incomplete. However, I'll assume we're dealing with sum.
Let the smallest integer be y.
So,
y + y + 1 + y + 2 = 273
Collect like terms.
y + y + y = 273 - 2 - 1
3y = 270
Divide both sides by 3
y = 90
Hence, the integers are 90, 91 and 92
Plz help me this is 7th grade math
Answer:
the picture is too small i can not see clearly
Step-by-step explanation:
pls help, you have to write in fraction form.
Answer:
42/145
Step-by-step explanation:
i tried might be wrong
jason built a rectangular tool shed that is 8 meters wide and has an area of 96 square meters. what is the length of jasons tool shed?
Answer:
12 meters
Step-by-step explanation:
Area = length × width. If we divided 96 (area) by 8 (width) we should get the length. 98 ÷ 8 = 12.
Ivy and Andrey were asked to find an explicit formula for the sequence -100,-50,0,50,...−100,−50,0,50,...minus, 100, comma, minus, 50, comma, 0, comma, 50, comma, point, point, point, where the first term should be f(1)f(1)f, left parenthesis, 1, right parenthesis.
Ivy said the formula is f(n)=-100+50(n-1)f(n)=−100+50(n−1)f, left parenthesis, n, right parenthesis, equals, minus, 100, plus, 50, left parenthesis, n, minus, 1, right parenthesis.
Andrey said the formula is f(n)=-150+50nf(n)=−150+50nf, left parenthesis, n, right parenthesis, equals, minus, 150, plus, 50, n.
Which one of them is right?
Answer:
both
Step-by-step explanation:
I need help yo!! I probably know who’s gonna answer l m a o
Answer:
1
Step-by-step explanation:
12 divided by 4 = 3
3 divided by 3 = 1
1/4
Johnny gets $40 per week as an allowance. If he goes to the movies and spends $3 for popcorn and $5 on soda, what percent of his allowance did he spend? *
Help plis
17. Find the sum of (10x + 3) and (- 4x - 2).
Answer:
6x + 1
Step-by-step explanation:
1. (10x + 3) + (-4x -2) --> sum means to add.
2. Combine like terms --> 10x - 4x = 6x; 3 - 2 = 1.
3. 6x + 1
1 1/5 - 1/3 =18/15 - ?
Answer:
25/66
Step-by-step explanation:
Solve the equation 8b+7 (2b + 4) = 94
b= ltype your answer...
Answer:
b = 3
Step-by-step explanation: