Answer:
B
Step-by-step explanation:
B . x+3 and -2x2 - 4x +47-6
B . x+3 and -2x2 - 4x +47-6
The divisor and the dividend for the given synthetic division problem are : [tex]x+3[/tex] and [tex]2x^3+4x^2-4x+6[/tex]
What is synthetic division?"It is a way of dividing one polynomial by another polynomial of first degree."
What is dividend?"The value that is divided by another value to get the result. "
What is divisor?"The value that divides another number either completely or with a remainder."
For given question,
We have been given a synthetic division problem.
- 3/ 2 4 -4 6
We need to represent the divisor and the dividend for the given synthetic division problem.
We know that, to perform synthetic division, here are the steps:
- The leading coefficient of the divisor should also be 1.
- Express the dividend in standard form.
- Write the leading coefficient in the dividend.
- Place the product of the number you brought down and the number in the division box in the preceding column.
- Write the result at the bottom of the row.
So, the divisor of the given synthetic division form would be,
x - (-3) = x + 3
And the dividend of the given synthetic division form would be,
There are four leading coefficient.
This means the dividend polynomial must be of degree 3.
From the leading coefficients 2 4 -4 6
[tex]2x^3+4x^2-4x+6[/tex]
Therefore, the divisor and the dividend for the given synthetic division problem are : [tex]x+3[/tex] and [tex]2x^3+4x^2-4x+6[/tex]
Learn more about the synthetic division here:
https://brainly.com/question/11850611
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The population of New York state can be modeled by: 19.71 P(t) =
1 + 61.22e-0.03513tP is the population in millions
and t is the number of years since 1800
What was the population in 2020?
P(220) = [?] million
Round your answer to the nearest thousandth.
Answer:
19.193 million
Step-by-step explanation:
Put the given value in the formula and do the arithmetic.
P(220) = 19.71/(1 +61.22e^(-0.03513·220))
P(220) = 19.71/(1 +61.22e^-7.7286) = 19.71/(1 +0.02694046)
P(220) ≈ 19.193 . . . million
19.19293355
Nearest thousandth is 19.193
Only Number 17!!!!!
Thank You!!
Express as a single power.
a) 1
b) -5
c) [tex]\frac{6^3.6^5}{6^2.6^4} = \frac{6^{3+5} }{6^{2+4} } = \frac{6^8}{6^6} = 6^{8-6}=6^2[/tex]
5^2 x 5^2 20 80 625 425
This question on your unit test is a fill in the blank. Be prepared to type your answer. The graph show how many minutes it takes Ziah to run a certain distance in the city. What is the meaning of the point (4, 6)?
The point (4,6) means it took Ziah 4 minutes to run 6 blocks.
This is because any point is of the form (x,y) where in this case
x = number of minutes
y = number of blocks
5) Solve 5 - 2x < 7.
A) x < -1
B) x>-1
0x<-12
D) X > -12
Answer:
i think B. x>-1 is answer
Step-by-step explanation:
good luck
-5(x + 6) = -(5x-9)
Please give me answer!
Answer:
There is no solution to this equation.
Hope this helps :)
Answer:
no solution.
Step-by-step explanation:
carry the -5 and - sign and multiply the numbers within the () signs. so - 5×x and -5×6. which is -5x + -30. the other side will be -5x + 9. so then if you take away the -5x your left with -30 = 9 which is impossible.
Find NMC triangle's perimeter if BO:BK=1:3 and ABC triangle's perimeter is 96
Answer:
80
Step-by-step explanation:
If we assume the triangles are similar and are isosceles, and that BK is an altitude, then we can work the problem.
Triangle OKN will be similar to triangle BKA, so ...
AN : AK = BO : BK = 1 : 3
Then ...
AN : AK : KC = 1 : 3 : 3
In terms of ratio units, ...
AN = 1
AC = 3+3 = 6
NC = 6-1 = 5
This means NC : AC = 5 : 6. The triangle perimeters will have the same ratio.
perimeter(NMC) = 5/6·perimeter(ABC) = 5/6·96
perimeter(NMC) = 80
How to test a function graphically
Answer:
Step-by-step explanation:
Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.
that is known as the vertical line test
Answer:
Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does no represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.
Step-by-step explanation:
Omar deposited $4000 into an account with 4.4% interest, compounded quarterly. Assuming that no withdrawals are made, how much will he have in the account after 10 years?
Do not round any intermediate computations, and round your answer to the nearest cent.
write me 2 equivalent fractions of 1/3=_=_
2. When 3 is added to the difference between seven times a number and 8, the result is greater than 13
added to 6 times the number. Write an inequality to match the given situation.
A. 7x + 8-3 < 6x + 13
B. 6x + 13 > (7x - 8) + 3
C. (7x-8) + 3 > 6x + 13
D. 6x + 13 < 7x + 8-3
Answer:
C
Step-by-step explanation:
help please thank you
Answer:
150*2/3=100
take school size then multiply it by the ratio to get the amount of student who prefer such toothpaste.
Step-by-step explanation:
Pls help!!!!!!!!!!!!!!!!!!!!!
Answer:
See below:
Step-by-step explanation:
First fill in:
180* . Every triangle has interior measurments of 180* total
Second fill in: Reason is definition of sum of triangle's interior angles
Third fill in: 2x. Everything in this equation is asking for the angles. First angle is 28, second angle is 2x, and third angle is x-4.
Fourth fill in: x=52
I found this by doing the following:
First, 180-28, so we can see how many degree we are left with.
152.
Now, make an equation:
152=2x+x-4
Simplify
152=3x-4
Add 4 to both sides to cancel out the -4.
156=3x
divide 156/3=52.
Now we know that x=52.
Although the question doesn't ask for this, you would now substitue 52 back into each of the equations to find that degree. For example, 2x=2(52), or 104*.
Answer:
See image
Step-by-step explanation:
All the angles of a triangle add up to 180°
The given diagram shows all the measures: 28°, x - 4° , and 2x
So add them up, set equal to 180 and solve for x. Combine like terms and subtract 24 from both sides of the equation. Divide both sides by 3. x = 52
the line passes through the point (6,1) and has a slope of -1/2 what is the point slope form and slope intercept form
Hi there! :)
We are given the slope of the line and a point that it passes through.
Using this information, we can write the equation in point-slope form:
y-y1=m(-x1)
y-1=-1/2(x-6)
y-1=-1/2x+3
Now, move -1 to the right, using the opposite operation:
y=-1/2x+3+1
y=-1/2x+4
And that's our equation. Hope it helps.
*Graceful Dreamer here to help
Good luck.
HELP ME ASAP!!!
Question 3(Multiple Choice Worth 5 points)
(04.04 MC)
If a sprinkler waters 1 over 15 of a lawn in 1 over 3 hour, how much time will it take to water the entire lawn?
5 hours
15 hours
18 hours
45 hours
It would take 5 hours.
1/15 of the lawn in 1/3 hours means it takes 1 hour to water 3/15 of the lawn aka 1/5
1/5 of the lawn in 1 hour would mean it takes 5 hours to finish watering the entire lawn.
A restaurant worker earns a set amount per hour from their employer. They also receive tips from customers. Their
earnings most closely rese]nble those of which of the following?
a. An employee working on straight commission
An employee working on commission plus salary
An employee working on a piece-rate basis
An employee working on a fixed salary
b.
C
d.
Please select the best answer from the choices provided
Ο Α
B
оооо
D
Mark this and return
Save and Exit
Next
Submit
Answer:
an employee working on commission plus salary.
Step-by-step explanation:
salary is the hourly rate
commission is tips
Answer:
B - An employee working on commission plus salary
Step-by-step explanation:
Eight people met in a public park for a nature walk. Before they set off to look for birds, they all introduce themselves and each person shook hands with each of the other people. How many handshake were exchanged?
Answer:
56 handshakes
Step-by-step explanation:
one person shakes seven hands
eight people shook seven hands each
8×7=56
- 4x – 4y = 24
3x + 10 = y
Answer:
x=-4,\:y=-2
Step-by-step explanation:
Answer:
x=-4
y=-2
Step-by-step explanation:
-4x-4y=24. .........1
3x+10=y...........2
since y is already isolated in equation 2 we can substitute the y value
subs 2 into 1
-4x-4(3x+10)=24.
-4x-12x-40=24
-16x=24+40
x=-4.....3
subs 3 into 2
3(-4)+10=y
-12+10=y
-2=y
what is y=2x+3 y=−3x+3
Step-by-step explanation:
equate the two equations
HELP 40 POINTS!!!!!!!!!
Does the graph represent a function?
Answer:
yes, it's a function
Step-by-step explanation:
downward facing parabola
Witch equation can be simplified to find the inverse of y=5x^2+10
Answer:
[tex]\huge\boxed{y=\sqrt{\dfrac{x-10}{2}}\ \text{for}\ x\geq10}[/tex]
Step-by-step explanation:
[tex]y=5x^2+10\\\\\text{exchange x to y and vice versa}\\\\x=5y^2+10\qquad|\text{subtract 10 from both sides}\\\\x-10=5y^2\qquad|\text{divide both sides by 5}\\\\\dfrac{x-10}{5}=y^2\\\\y^2=\dfrac{x-10}{5}\to y=\sqrt{\dfrac{x-10}{2}}[/tex]
One weekend Bill earned 3 times as much as Jim. Tom earned $5 more than Jim. In all, they earned $60. How much did each earn?
Answer:
Step-by-step explanation:
J
B = 3J
T = J + 5
J + 3J + J + 5 = 60
5J = 55
J = $11
B = $33
T = $16
The amount earned by Jim, Bill and Tom is equal to [tex]\boldsymbol{\$ 11},\boldsymbol{\$ 33},\boldsymbol{\$ 16}[/tex].
"Important information"Let .
The amount earned by Jim be [tex]\boldsymbol{x}[/tex].
Amount earned by Bill [tex]=\boldsymbol{3x}[/tex]
Amount earned by Tom [tex]=\boldsymbol{x+5}[/tex]
Total amount earned by all [tex]=\boldsymbol{\$ 60}[/tex][tex]x+3x+x+5=60\\5x=55\\x=11[/tex]
So,
Amount earned by Jim [tex]=\boldsymbol{\$ 11}[/tex]
Amount earned by Bill [tex]=3(11)[/tex] [tex]=\boldsymbol{\$ 33}[/tex]
Amount earned by Tom [tex]=11+5[/tex] [tex]=\boldsymbol{\$ 16}[/tex]
Find out more information about money here:
https://brainly.com/question/2696748?referrer=searchResults
A middle school had a school spirit day. In one class the ratio of students who wore school colors to the number of students who didn’t was 8 to 5. Ten students didn’t wear school colors
Answer:
Step-by-step explanation:
What is the correct unit rate?And what is Jessie's likely error?
Answer:
4
Step-by-step explanation:
1[tex]\frac{1}{2} / \frac{1}{8} = \frac{1}{2} * \frac{8}{1} = \frac{8}{2} = 4[/tex]
she forget that fraction will reverse if it move below or up side, I think
Betty had 1 1/4 hours to finish a test. She was nervous and it took her 1/2 an hour to calm down. How much time did she have left to finish the test? Express the answer as a mixed number.
Answer:
Betty had 45 minutes to take her test in mixed number form it is
Step-by-step explanation:
1 hour
1/4 an hour = 15 minutes
1/2 an hour is 30 minutes
1 hr 15- 30= 45
45= 3/4 of and hour remaining to test
In 2010, the population of a city was 241,000. From 2010 to 2015, the population grew by 5%. From 2015 to 2020, it fell by 4%. To the nearest 100 people, what was the population in 2020? help im about to die
Answer:
242, 900 people
Step-by-step explanation:
To begin, it says that the population grew by 5%.
(241000)(1.00 + 0.05) = population of the city in 2015
(241000)(1.05) = 253050
253050 is the population of the city in 2015. From 2015 to 2020 it fell four percent.
(253050)(1.00 - 0.04) = population of the city in 2020
(253050)(0.96) = 242928
242928 is the exact population of the city. However, it says to round to the nearest hundred. Since 28 is less than 50, then it would round down to 900.
Therefore, the answer would be 242, 900 people.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use the quadratic formula to solve the equation.
X^2 - 7x – 6 = 0
Step-by-step explanation:
[tex]x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
a=1.
b=-7
c=-6
x=
[tex] \frac{ - ( - 7) + \sqrt{ (- 7)^{2} - 4(1)( - 6)} }{2(1)} [/tex]
OR
[tex] \frac{ - ( - 7) - \sqrt{ (- 7) ^{2} - 4(1)( - 6)} }{2(1)} [/tex]
Therefore x= 7,772
OR
x=-0,772
Can someone help me with this
Answer:
10 square inches
Step-by-step explanation:
[tex]area \: formula \: = \frac{1}{2} bh[/tex]
h= 5 inches
b= 4 inches
[tex] \frac{1}{2} \times 4 \times 5 = 10[/tex]
Hi, I already answered this question on your other post (seems like you posted this question twice): https://brainly.com/question/26075347 (check that link out)
