Synthetic division yields
1 | 1 0 0 1
. | 1 1 1
= = = = = = = = = =
. | 1 1 1 2
which translates to
(x³ + 1) / (x - 1) = x² + x + 1 + 2/(x - 1)
where the quotient is x² + x + 1.
Two people are driving to work at different constant speeds. The graph below shows the distance traveled over time by driver 1.
The table (no graph included just the table) below shows the distance traveled over time by driver 2.
What is the difference between the speeds of the two drivers in mph?
Answer:
5 mph
Step-by-sep explanation:
To find of out the difference between the speed of the two drivers in miles per hour (not in miles per minute), first, calculate the unit rate or speed of driver 1 using the graph, and driver 2 using the table given.
Unit rate/speed = distance travelled/time = y/x.
Speed of Driver 1/unit rate:
The graph shows 1.5 miles (y) is travelled in 2 minutes (x).
Convert the 2 minutes to hour, you will have:
[tex] \frac{2}{60} = \frac{1}{30} hr [/tex]
Speed in mph = [tex] \frac{y}{x} = \frac{1.5}{\frac{1}{30}} = 1.5*\frac{30}{1} = 45 [/tex]
Speed of Driver 1 in mph = 45 mph
Speed of Driver 2/unit rate:
The table shows 2.5 miles (y) is travelled in 3 minutes (x).
Convert the 3 minutes to hour, you will have:
[tex] \frac{3}{60} = \frac{1}{20} hr [/tex]
Speed in mph = [tex] \frac{y}{x} = \frac{2.5}{\frac{1}{20}} = 2.5*\frac{20}{1} = 50 [/tex]
Speed of Driver 2 in mph = 50 mph
Difference between the speed of the two drivers = 50 - 45 = 5 mph
Which graph is this?
How do you do this question?
Answer:
z = -ln│5eᵗ + C│
Step-by-step explanation:
dz/dt + 5eᵗ⁺ᶻ = 0
dz/dt = -5eᵗ⁺ᶻ
dz/dt = -5eᵗeᶻ
-e⁻ᶻ dz = 5eᵗ dt
e⁻ᶻ = 5eᵗ + C
-z = ln│5eᵗ + C│
z = -ln│5eᵗ + C│
Which shows the best use of associative and commutative properties to make simplifying 3/4 - 5 + 9 -2/4 + 2 easier?
Answer:
(-5) + 9 + 2 + 3/4 + (-2/4)
which inequality is true?
Answer:
the answer is B
Step-by-step explanation:
I need help with this
Answer:
120 students
Step-by-step explanation:
so divide 300 by 10 = 30
then multiply it by 4 = 120
What is the greatest place value in this number, 189?
Answer:
the 1 cause it's a 100
Step-by-step explanation:
100 + 80 + 9
15% of the students in the class
did not complete their homework. If there
are 20 students in the class, how many didn't do their homework?
Answer:
3
Step-by-step explanation:
15% of 20 Is 3.
Mai has 4 CDs that she is going to give away. She lets her best friend choose 3 of the 4 CDs. How many different groups of 3 CDs are possible?
Cans of corn are on sale at 10 for $4. What is the cost of 15 cans
Answer:$6
10*1.5=15
4*1.5=6
Step-by-step explanation:
describe the prime factorization of 180
Answer:
5 x 2 x 2 x 3 x 3 = 180Step-by-step explanation:
HOPE THIS HELPS’
PLZZ MARK BRAINLIEST
HELP ASAP RN 10 POINTS AND BRAINLIEST TO WHOEVER DOES IT CORECTLY The cost to rent a bicycle at Freewheels is $10 plus an hourly rate for each hour the bicycle is rented. The graph represents the linear relationship between the cost, in dollars, to rent a bicycle and the
number of hours rented.
Based on the graph, which statement is true?
Freewheels charges a $4 initial fee and $10 per hour.
Freewheels charges a $10 initial fee and $4 per hour.
Freewheels charges an $8 initial fee and $42 per hour.
Freewheels charges a $42 initial fee and $8 per hour.
Answer:
Freewheels charges a $10 initial fee and $4 per hour.
that is the correct answer! hope this helped!
The coordinates from the graph.
(0, 10) and the rate of change is 4.
Freewheels charge a $10 initial fee and $4 per hour.
Option B is the correct answer.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
From the graph, we have the following coordinates.
(0, 10)
(1, 14)
(2, 18)
(3, 22)
(4, 26)
(5, 30)
(6, 34)
Now,
The coordinates (0, 10) mean that there is an initial fee of $10.
Rate of change between two points.
= (18 - 14) / (2 - 1)
= 4/1
= 4
This means there is a charge of $4 per hour.
From the graph, we see that,
Freewheels charge a $10 initial fee and $4 per hour.
Option B is the correct answer.
Thus,
The coordinates from the graph.
(0, 10) and the rate of change is 4.
Freewheels charge a $10 initial fee and $4 per hour.
Option B is the correct answer.
Learn more about coordinates here:
https://brainly.com/question/13118993
#SPJ2
Which graph shows a set of ordered pairs that represents a function?
Answer:
2nd Graph
General Formulas and Concepts:
Algebra I
Vertical Line Test - A function's x-values must have only 1 corresponding y-value. If the function fails this test, it is not a function.Step-by-step explanation:
When we apply the Vertical Line Test to the 1st graph, it does not pass (x = 1). Therefore, the 1st graph is not a function.
When we apply the Vertical Line Test to the 2nd graph, it does pass. Therefore, the 2nd graph is a function.
When we apply the Vertical Line Test to the 3rd graph, it does not pass (x = 2). Therefore, the 1st graph is not a function.
When we apply the Vertical Line Test to the 4th graph, it does not pass (x = -3). Therefore, the 4th graph is not a function.
Answer:
2nd graph is correct
Step-by-step explanation:
choose the correct solution and graph
z+9≤6
Answer:
z ≤ -3
Step-by-step explanation:
z + 9 ≤ 6
z ≤ -3
I need the correct answer not the wrong answer or the I don’t know answer CORRECT..
Answer:
6 un
Step-by-step explanation:
2 22= 6
Answer:
1
Step-by-step explanation:
2devided
by 2 =1
There are 105 members in a marching band. They are traveling on buses. Each bus holds 35 members. How many buses are needed to carry the band members?
Answer:
3 buses i'm pretty sure :))
For which inequality is x = 5 a solution ?
Answer:
C
Step-by-step explanation:
because x<2 is ... -1,0,1
x>9 is 100,11,12...
but x<18 is 17,16.. 6,5,4
x>42 is more than 42 so 43,44,45...
what is 52.03 squared?
Answer:
It is 2707.1209
Step-by-step explanation:
Jackson builds legos at a rate of 3 projects per hour. Write a function that represents the relationship between the amount of Legos built, b, and the number of hours he works, h.
Answer:b=3h
Step-by-step explanation:
Find f(-5) If f(x) = lx+ 1l.
The Tigers, a football team, must gain 10 yards in the next four plays to keep possession of the ball. The Tigers lose 24 yards, gain 4 yards, and lose 10 yards. How many yards do they need to keep possession?
40
20
-20
-8
Answer:
B. The must gain 20 yards to keep possessionStep-by-step explanation:
Let the number of yards gained be positive
Let the number of yards lost be negative
Since the total that must be gained in the next four games is 10, hence the total is +10
If The Tigers lose 24 yards, gain 4 yards, and lose 10 yards in the first three rounds with x being the number of yards in the fourth round, this is expressed as;
-24 + 4 - 10 + x = 10
-20 - 10 + x = 10
-30 + x = -10
x = -10 + 30
x = 20
Hence they need 20 yards in the last round to keep possession
I WILL GIVE BRAINLIEST AND POINTS PLEASE GIVE ME THE ANSWER OF THIS FAST PLEASE!!!!!
are the triangles congruent ?
Answer:
yes its sss
Step-by-step explanation:
Answer:
SSS BECAUSE THE TRIANGLE IS GOING UP AND DOWN SO 5% of it so SSS
Find the point-slope equation of the line contains (-2,-3) and having slope m=4
Answer:
y + 3 = 4 x (x + 2)
Step-by-step explanation:
point slope formula is y-y1 = m(x-x1)
slope intercept form is y = 4x + 5
y=mx +b
m=4
What’s the slope of the graph? (photo included)
giving out brainliest!
Answer:
Using the slope formula with points (0,-1) and (-4,4)
Step-by-step explanation:
Step 1: find the points, (0,-1) and (-4,4)
Step 2: Insert plot points into Slope formula: (tip: M means slope)
m(slope)= [tex]\frac{y_{2} - y_{1}}{x_{2}-x_{1}}[/tex] -> m(slope)=[tex]\frac{4-(-1)}{-4-0}[/tex]
Step 3: Solve:
m(slope)=[tex]\frac{5}{-4}[/tex]
Answer:
Slope is [tex]\frac{5}{-4}[/tex]
or m = [tex]\frac{5}{-4}[/tex]
OR (if your teacher wants the answer in decimal form rounded to the nearest 10th.) m = -1.3
Which expression is equivalent to 4 – (-7)
a 7+ 4
b 4 - 7
c-7 - 4
d -4 + 7
Answer:
A. 7 +4
Step-by-step explanation:
4 -( - 7 )
4 + 7
7 + 4
Answer:
a
Step-by-step explanation:
4 + 7 = 11. subtracting a negative number is the same as adding
Solve for xxx.
Your answer must be simplified.
x/-6 ≥ -20
[tex] \mathsf{Hey \: there}[/tex]
[tex] \mathsf{\dfrac{x}{ - 6} \geq - 20}[/tex]
We can substitute the greater or equal to sign as a "equal" sign (for now)[tex] \mathsf{\dfrac{x}{ - 6} = - 20}[/tex]
Multiply both of your sides by ⬇[tex] \mathsf{ \dfrac{6}{-1}}[/tex]
Like[tex] \frac{6}{-1} \times \frac{ -1}{6} \mathsf{x} = \frac{6}{-1} \times - 20[/tex]
[tex] \mathsf{Cancel \: out: \dfrac{6}{ -1} \times \dfrac{ - 1}{6} \: because \: it \: you \: 1 }[/tex]
[tex] \mathsf{Keep:{\dfrac{6}{-1} \times \: -20} \: because \: it \: helps \: solve \: for \: your \: equation}[/tex]
[tex] \mathsf{x = 120}[/tex]
We do the same for your equation but a tad bit different![tex] \boxed{ \mathsf{your \: answer: \boxed{ \mathsf{ \huge\bf{x \leq120}}}}} \checkmark[/tex]
- ITS AN OPENED CIRCLE SHADED TO THE LEFT GOOD LUCK ON YOUR ASSIGNMENT AND ENJOY YOUR DAY!~
[tex] \dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]
Answer:
hehe <120 i thinkkkkkkkkk
Step-by-step explanation:
In a recent year, 0.57 of those registered to vote in the United States voted in an election.
Write 0.57 as a percent.
Answer:
57%? I think.
Step-by-step explanation:
Answer: 57% iḿ sure.
Step-by-step explanation:
Find the prime factorization of 32. Write in exponential form.
A. 2 × 2 × 2 × 2 × 2
B. 26
C. 2 × 2 × 2 × 2
D. 25
Answer:
find the prime factorization of 32. write in exponential form.
option A is correct
Use the distributive property to remove the parentheses. Simplify your answer as much as possible.
1/2(4w-5)
please help i need answers asap
Answer:
2w - 2 1/2
Step-by-step explanation:
you need to multiply the faction by each one of the numbers. multiplying them by 1/2 is going to be the same was dividing them by 2
4w (1/2) - 5 (1/2)
2w - 2 1/2
hope this helps!