Answer:
Step-by-step explanation:
P(y) = y³ + 2y² + 2y + 1
P(-1) = (-1)³ + 2*(-1)² + 2*(-1) + 1
= -1 + 2 - 2 + 1
= 0
As, P(-1) = 0, (y + 1) is a factor.
Use synthetic division or remainder theorem.
-1 1 2 2 1
0 -1 -1 -1
1 1 1 0
quotient = y² + y + 1
y³ + 2y² + 2y + 1 = ( y + 1) (y² + y + 1)
Rob peeled 125 oranges in 5 hours. At that rate, how many oranges
would he peel in 12 minutes?
Answer:
5 oranges in 12 minutes
Step-by-step explanation:
[tex]125 \div 5 = 25[/tex]
[tex]25 \div 60 = 0.41[/tex]
[tex]0.41 \times 12 = 5[/tex]
what i did here was I took the original amount (125), divided it by 5 which is 25 oranges per hour
1 hr = 60 mins
then I divided 25 oranges by 60 mins, then times it by 12 to get 5 around 5 oranges in 12 minutes.
Answer:
[tex]\boxed {\tt 5 \ oranges}[/tex]
Step-by-step explanation:
Let's set up a proportion.
[tex]\frac{oranges}{minutes} =\frac{oranges}{minutes}[/tex]
He can peel 125 oranges in 5 hours. First, let's find the minutes in 5 hours.
There are 60 minutes in 1 hour, so multiply 60 and 5 (60*5=300). There are 300 minutes in 5 hours.
[tex]\frac{125 \ oranges}{300 \ minutes}=\frac{oranges}{minutes}[/tex]
We don't know how many oranges he can peel in 12 minutes. So we say he can peel x oranges in 12 minutes.
[tex]\frac{125 \ oranges}{300 \ minutes}=\frac{x \ oranges}{12 \ minutes}[/tex]
[tex]\frac{125 \ }{300 \ }=\frac{x \ }{12 }[/tex]
Solve for x by isolating it. x is being divided by 12. The inverse of division is multiplication. Multiply both sides of the proportion by 12.
[tex]12*\frac{125 \ }{300 \ }=\frac{x \ }{12 \ }*12[/tex]
[tex]12*\frac{125 \ }{300 \ }=x[/tex]
[tex]12*0.416666667=x[/tex]
[tex]5=x[/tex]
Rob can peel 5 oranges in 12 minutes.
what is the equivalent ratio for the given ratio 10/18
Answer:
5/9
Step-by-step explanation:
All you have to do is simplify the ratio or multiply it by something.
Hope this helps!
*ECONOMICS* please help me :(((
Answer:
B.
Step-by-step explanation:
Monopolistic Competition is a type of imperfect competition such that many producers sell products that are differentiated from one another and hence are not perfect substitutes. Therefore B. would be correct since Monopolistic Competition is Many sellers with a featured product that's differentiated to the buyer.
please help me with this asap
Answer:
I think the answer is A
hope this helps :3
sorry if im wrong
Find the slope of the line that passes through the points
(5,7) and (2, -3).
Answer:
The slope is 10/3
Step-by-step explanation:
what is the solution of x-y=4 and 4x+y=1
Answer:
x= 4+y and the next answer is y= -4x+1
Step-by-step explanation:
First one solve for x and the other one I solved for y
A hall has 35 rows. Each successive row contains two additional seat. If the first row has 20 seats, how many seats are in the hall?
Answer:
There are 1,890 seats in the hall
Step-by-step explanation:
The number of seats in the first row = 20 seats
The number of rows in the hall = 35 rows
The number of additional seat per row = 2 Seat
Therefore, the sequence of seats in the hall is an arithmetic sequence with the first term, a = 25, the common difference, d = 2, and the number of terms, n = 35
The formula for finding the sum of n-terms of an arithmetic progression, Sₙ is given as follows;
Sₙ = n/2 × [2·a + (n - 1)·d]
Plugging in the values, we get;
Sₙ = 35/2 × [2 × 25 + (35 - 1)×2] = 1890 seats
Therefore, there are 1,890 seats in the hall.
If T is the midpoint of SU what are ST, TU, and SU?
Answer:
x=7, SU=63, TU=63, SU=126
Step-by-step explanation:
The mid point of SU is T meaning, ST=TU
we find value of x as 7.
replace x by 7 and find the value of given lines.
Vicky reads at a constant rate. She can read 5 pages in 9 minutes write a linear equation in variables that represents the number of pages vicky reads in any given time interval
Answer:
5x=9 and that is the answer
is 1,2 a function?
If it’s correct I will cashapp you :))
Answer:
yes
Step-by-step explanation:
Since there is one value of y for every value of x, this relation is a function.
The relation is a function.
Cooper is a salesperson who sells computers at an electronics store. He makes a base pay amount of $60 per day regardless of sales and he earns a commission of 1.5% of the dollar amount of all sales that he makes. Write an equation for P,P, in terms of x,x, representing Cooper's total pay on a day on which he sells xx dollars worth of computers.
Answer:
P= 0.015x+60
Step-by-step explanation:
thats the right answer
If Cooper is a salesperson who sells computers at an electronics store. He makes a base pay amount of $60 per day regardless of sales and he earns a commission of 1.5% of the dollar amount of all sales that he makes. Then P = 0.015x + 60 is total pay.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Cooper's base pay is $60 per day
He gets $60 even for not selling computers,
meaning P= 60 when x=0, which is the y-intercept.
Now if Cooper makes a commission of 1.5% for all sales,
His earning will be increased by 1.5%.
The percentage value should be changed to decimal value. By Dividing 1.5 by 100
1.5/100=0.015
The amount of money earned in a given day increases $0.015 for each $1 of sales made.
Here x, representing Cooper's total pay on a day on which he sells x dollars of worth computers.
P = 0.015x + 60
Hence P = 0.015x + 60 is the total pay of cooper .
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A plane takes off from a runway and begins its climb. The plane takes off at a constant acceleration of 20 LaTeX: m /s^{2} . Once it reaches altitude it moves at 246 m/s, and maintains that speed. If it continues at this speed for 93 min, how far would the plane have traveled from the time took off?
Answer:
The plane have traveled 1512.9 m from the time took off
Step-by-step explanation:
Acceleration [tex]a = 20m/s^2[/tex]
Initial speed = u = 0
Final speed = v = 246 m/s
Time = t = 93
We are supposed to find how far would the plane have traveled from the time took off
We will use equation of motion
[tex]v^2=u^2+2as\\(246)^2=2\times 20 \times s\\\frac{(246)^2}{2 \times 20}=s\\1512.9 m=s[/tex]
Hence The plane have traveled 1512.9 m from the time took off
Lauren earned $84 in 8 hours
today. If she works the same
hourly rate, how much money
would Lauren make if she
works 10 hours tomorrow?
Answer:
105
Step-by-step explanation:
You need to find the unit rate which is 10.50$. Then you would multiply it by 10.
im literally crying because im so stressed and i don't understand if you know the answer please help i will do anything :(
Answer: 9x + 45 = 9x + 45 Infinitely many
Step-by-step explanation: Use distributive property for the left and add like terms for the right
Answer:
9,45,9,45 and infinite
Step-by-step explanation:
ngl im probably wrong but i tried
Identify h (x) = [x] + 4
A.
direct variation function
B.
constant function
C.
absolute value function
D.
greatest integer function
Answer:A- direct variation function
Step-by-step explanation:
h(x) = [x] + 4 is in A. direct variation function as we increase the value of x the function h(x) will also increase and vice versa.
What is proportion?Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, h(x) = [x] + 4, as we increase the value of x the function h(x) will also increase and vice versa.
So, h(x) = [x] + 4 is in direct variation.
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Jessica is filling her swimming pool with water. The pool will hold 500 gallons of water,
and Jessica can pump water in at a rate of 30 gallons per hour. Write an equation that
will show how many gallons of water are in the pool as Jessica is filling it.
Answer: 30*x=Y?
Step-by-step explanation:
Sully is buying soil (x) and plants (y) for his rose garden. The soil cost $4 per bag, and the plants cost $6 each. Sully wants to buy at least 10 plants and can spend no more than $120.
Answer:
hi my name is ais
Step-by-step explanation:
1624#I don't care
I need help, If you help me ill give u a cookie
Answer:
9
Step-by-step explanation:
let us suppose that
(-4,-6) is (x1,y1)
and (5, -6) is (x2,y2)
we know that
distance between two points = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2} \\[/tex]
[tex]=\sqrt{(5-(-4))^{2} + (-6-(-6))^{2} } \\= \sqrt{9^{2}+0 } \\= 9 units[/tex]
3. What is the slope of a line with the
equation y = 5x + 2?
/5
Answer:
5
Step-by-step explanation:
this is in slope intercept form or y=mx+b
m represents slope and m is 5
Answer: [tex]m = 5[/tex]
The slope of the line in this equation is 5.
y = mx + b
the m multiplied with x is the slope.
which graph represents the solution set for 1/2x
Answer:solve for y
y -1/2x ≥ 4
y ≥ 1/2x + 4
The y intercept is 4, and the slope is positive, so the only graph with that conditions is B.
Step-by-step explanation:
Katherine wants to prove that the measures of the interior angles of a triangle have a sum of 180. She draws a triangle and extends one of the sides through a vertex. She then draws a line through this vertex that is parallel to the opposite side
Answer:
As we know, if we add up the interior and exterior angles of one corner of a triangle, we always get 180. the exterior angle in question is equal to the sum of the other two angles in the triangle
Please someone help me with this! Math
Answer:
4,1
Step-by-step explanation: Due to the segment only needing a length of 4 units, if you add 4 units to your y, it will get you y=1
(-8) * 11
(-8) x 11
Answer:
= -88
Step-by-step explanation:
The velocity-time graph for a cycle is shown.
104
8
8
Velocity (m/s)
2
0
0 2 4 6 8 10 12 14 16 18 20
Time (seconds)
a) Work out the distance travelled on the cycle in the first 14 seconds.
b) Work out the acceleration in the first 4 seconds.
Answer:
a) 98m
b) 2m/s
Step-by-step explanation:
a) 2+4+6+8+10(8) = 98m
b) a = change/time = 8m/4s = 2m/s
not completely sure about a) so pls double check that <//3
good luck and hope this helped a bit!
The correct answers for the given problem are: (a) The distance travelled on the cycle in the first 14 seconds is 96 m and (b)The acceleration in the first 4 seconds is 2 m/s².
How to find the area under a graph?The area under a graph can be found by dividing the graph into equal intervals of very small width and then find the area of the rectangle for each intervals. After summing all the areas of rectangles the area under the graph can be approximated.
The velocity time graph given in the problem can be used to find the distance travelled.
The distance travelled in first 14 seconds is equal to the area of the graph from t = 0 to t = 14.
This area consists of a triangle of height h = 8 and base b = 4 and a rectangle of length l = 8 and width b = (14 - 4) = 10.
Now, the total area is given as,
1/2 × b × h + l × b
= 1/2 × 4 × 8 + 8 × 10
= 16 + 80
= 96
(b) The acceleration is given as the rate change of velocity with respect to time.
The acceleration in first 4 seconds is given as,
a = (8 - 0)/4
= 2
Hence, the distance travelled in first 14 seconds and acceleration in first 4 seconds is given as 96 m and 2 m/s² respectively.
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Solve: 13x+8 = 4x + 1
Answer:
x = -7/9
Step-by-step explanation:
First, subtract 8 from both sides of the equation.
13x = 4x - 7
Next, subtract 4x from both sides of the equation.
9x=-7
Divide both sides of the equation by the same term
x = -7/9
Write the vocabulary word for: A ratio of two quantities with different units.
We dont have vocab words in class so....
Answer:
a rate
Step-by-step explanation:
I looked it up :P
The East River High School math teachers are buying ice cream cones for all of the algebra students. Dairy Queen charges a one time fee of $15 to deliver the treats to the school and each cone cost $2. Write an equation in y=mx+b form (NO SPACES) that can be used to find the total cost of ice cream cones for ERHS students.
Answer:
y = 2x + 15
Step-by-step explanation:
Let y represent the total amount paid by the teachers.
It is provided that the Dairy Queen charges a one time fee of $15 to deliver the treats to the school and each cone cost $2.
Let x represent the number of cones bought.
Then the equation that can be used to find the total cost of ice cream cones for ERHS students is:
y = 2x + 15
I need help ASAP PLEASE
Answer:
13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
replace the numbers given for each variable: 7(2)=14+(-1)=13
find value of x so that f(x)=7
Answer: -3
Step-by-step explanation:
0,4
2,2
Find slope: 2 - 4 = -2
2 - 0 = 2
-2/2 = -1 is slope
7 = -1x + 4
subsitute -1 for x
7 = -1(-1) + 4
1 + 4
The required simplified value of the x is -3 for f(x) = 7.
Given that,
To determine the value of x so that f(x)=7.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
As shown in the graph,
The slope of the line is m = -1
And points through which the line is passing are (0,4) and (4, 0)
The equation of the line is given as,
(y - 4) = -1 (x - 0)
y -4 = -x
y + x = 4
Now,
y = 4 - x
putting y = f(x)
f(x) = 4 - x
Now,
we have f(x) = 7
7 = 4 - x
x = -3
Thus, the required simplified value of the x is -3 for f(x) = 7.
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Find the exact values of each of the following trigonometric ratios using the given triangle.
cos A
cos B
sin A
sin B
tan A
tan B
What is the relationship between each of the values you found and why?
Answer:
The Answer would be The first ab
Step-by-step explanation:
