Answer:
[tex]\frac{6x^3 \ + \ 19x^2 \ + \ 17x \ + \ 3}{2x \ + \ 3} \ = \ 3x^2 \ + \ 5x \ + \ 1[/tex]
Step-by-step explanation:
Given;
F(x) = 6x³ + 19x² + 17x + 3
Factor of F(x) = 2x + 3
Using long division method;
3x² + 5x + 1
------------------------------------
2x + 3 √ 6x³ + 19x² + 17x + 3
- (6x³ + 9x²)
----------------------------------------
10x² + 17x + 3
- (10x² + 15x)
-------------------------------
2x + 3
- (2x + 3)
---------------
0
[tex]Thus, \frac{6x^3 \ + \ 19x^2 \ + \ 17x \ + \ 3}{2x \ + \ 3} \ = 3x^2 \ + \ 5x \ + \ 1[/tex]
66/4 x 1/4= please I was stuck on this for 6 hours omg.
the answer is,
[tex] \frac{33}{8} [/tex]
And in Mix fraction it will be,
[tex]4 \frac{1}{8} [/tex]
And also in decimal form it will be, 4.125
its not that hard. lol.
1448×17 in vertical order
There are 18 cupcakes. How many different ways can the cupcakes be placed in packets, so each packet has the same number of cupcakes and there are no left-over cupcakes?
The diagram shows the ratio of trees Maeve plants to the trees she harvests.
Thank u
Answer:
Wednesday is 45 to 18.
Thursday is 55 to 22
Step-by-step explanation:
Wednesday: The original ratio was 5 to 2 And the info tells us that the new ratio is ? to 18. To find the first part we have to find how we got from 2 to 18. 2 * 9 = 18. So to find out the first part you do 5 * 9 = 45. We multiply 5 because Thats the original 1st part. We multiply 9 because that's how we got to 18 in the 2nd part. So the answer is 45 for Wednesday.
Thursday: The original ratio was 5 to 2 And the info tells us that the new ratio is 55 to ?. To find the first part we have to find how we got from 5 to 55. 5 * 11 = 55. So to find out the 2nd part you do 2 * 11 = 55. We multiply 2 because That's the original 2nd part. We multiply 11 because that's how we got to 55 in the 1st part. So the answer is 22 for Thursday.
Answer:
The answer is 45 to 18 and 55 to 22 hope this helps
Step-by-step explanation:
Taz packs 15 sweaters in boxes. Each box can hold 4 sweaters.
How many boxes of sweaters does Taz pack?
Write a mixed number for the number of boxes of sweaters Taz packs.
Sweaters 15 each box can hold only 4 sweaters how many boxes does taz pack
Answer:3 and 3/4 :)
Step-by-step explanation: 15/4= 3 R 3 3 and 3/4
PLEASE HELPPPP Select the function that represents a geometric sequence.
O A. A(n) = (n-1)(P.n)', where n is any real number
O B. A(n) = n + (i-1). P, where n is a positive integer
O C. A(n) = P(1 + i)n-1, where n is a positive integer
O D. A(n) = P+(n-1);• P, where n is a positive integer
Answer:
C. [tex] A(n) = P(1 + i)^{n-1}, [/tex] where n is a positive integer.
Step-by-step explanation:
Function [tex] A(n) = P(1 + i)^{n-1} [/tex] represents a geometric sequence.
ASAP! Please answer this ASAP! THANK YOU!
Let f(x) = 18/1+3e^-0.1x What is the point of maximum growth rate for the logistic function f(x)? Show all work. Round your answer to the nearest hundredth.
Answer:
(0, 4.5)
Step-by-step explanation:
f(x)=c/1+Ae^-Bx
Y=C
C=18 A=3 -B=-0.1
*Replace x with 0 in the equation, so you know 0 is the x value, and it leads you to the y value*
f(0)=18/1+3e^-o.1(0)
= 18/1+3e^0
=18/1+3(1)
=18/1+3
=18/4
=4.5
x=0 y=4.5
Maximum growth rate = (x,y) --> (0, 4.5)
Hope this helps:))!!
f(x)=c/1+Ae^-Bx
Y=C
C=18 A=3 -B=-0.1
*Replace x with 0 in the equation, so you know 0 is the x value, and it leads you to the y value*
f(0)=18/1+3e^-o.1(0)
= 18/1+3e^0
=18/1+3(1)
=18/1+3
=18/4
=4.5
x=0 y=4.5
Maximum growth rate = (x,y) --> (0, 4.5)
Hope this helps:))!!
What is the volume of this rectangular prism?
Will give brianliest
Answer:
A B and C
Step-by-step explanation:
A has a coordinate of 3.75 because 2.5 × 1.5 = 3.75 and 3.75 is greater then -3
B has a coordinate of 7 because -3.5 × -2 = 7 and 7 is greater then -3
C has a coordinate of 0 because 0 x 0 = 0 and 0 is greater then -3
D has a coordinate of -6 because -1.5 x 4 = -6 and -6 is less then -3
Hopes this helps
If
|
(x) = 3x + 1 and 1-1 - *-1
3
then f(2)=
1/3
01
07
Answer: it’s 7
Step-by-step explanation:
f(2)=3(2)+1
f(2)=6+1
f(2)=7
how would you estimate the price if a shirt that usually costs $32.99 is on sale for 25% off?
Answer:
32.99/4 is about 8.25
8.25 x 3= 24.75
about 24.75
Step-by-step explanation:
CLASS PROJECT An economics class formed a company to sell school supplies. They would like to sell at least 20 notebooks and 50 pens per week, with a goal of earning at least $60 per week. a. Define the variables, and write a system of inequalities to represent this situation. b. Graph the system. c. Name one possible solution.
Answer:
60≥20x+50y
Step-by-step explanation:
Let x = notebooks and y = pens (all per week)
One solution would be x ≥ 1 and y ≥ 1 as at least one per each item per week
PLZ HELp FAST jshsbak
Answer:
(2,2)
Step-by-step explanation:
The solution to a system of equations is the point where they intersect. In this equation they intersect on the point (2,2).
Which ones do I select
Answer:
8(x) = 56 (x = 7) (x) + 5 3/4 = 8 3/4 (x = 3) x/2 = 3.5 (x = 7) Neither x - 2.56 = 0.44 (x = 3)
Step-by-step explanation:
Can someone please give me the answer I will mark u brilliant as soon as it pops up.
9514 1404 393
Answer:
(a) 26 units
Step-by-step explanation:
The left-side vertical line extends from y = -3 to y = +3, so is 3-(-3) = 6 units long.
The bottom side horizontal line extends from x = -5 to x = 2, so is 2 -(-5) - 7 units long.
The sum of these two sides is 6 + 7 = 13 units. These two sides make up half of the perimeter, which is the total length of all four sides.
The perimeter is 2 × 13 units = 26 units.
if ethan has 109 points and he spends 52 out of his 109 points how many will he have
Answer:
57 points
Step-by-step explanation:
Answer:
47
Step-by-step explanation:
Write a general formula to describe the variation:
x varies inversely with the square root of y; x = 6 when y = 64.
Answer:
the last one
Step-by-step explanation:
This table shows values that represent a quadratic function. What is the average rate of change for the quadratic function for the interval from x = 4 to x = 6? 
The average rate of change for the interval from x = 4 to x = 6 is -10 option (D) -10 is correct.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
It is given that:
The quadratic function is represented by the table given in the picture.
As we know, the standard form of the quadratic function is:
f(x) = ax² + bx + c
The rate of change can be defined as the change in values of a dependent variable with respect to the independent variables.
The average rate of change for the interval from x = 4 to x = 6:
= (-37+17)/(6-4)
= (-20)/(2)
= -10
Thus, the average rate of change for the interval from x = 4 to x = 6 is -10 option (D) -10 is correct.
Learn more about quadratic equations here:
brainly.com/question/17177510
#SPJ2
Two customers took out car loans from a bank.
Marcus took out a 5-year loan for $10,000 and paid 4.7% annual simple interest.
Gianna took out a 6-year loan for $10,000 and paid 4.5% annual simple interest.
What is the difference between the amounts of interest Marcus and Gianna paid for their car loans?
Enter your answer in the box.
The difference between the amounts of interest Marcus and Gianna paid for their car loan should be $350.
Calculation of the difference;
For Marcus, the interest be like
= ($10,000) (4.7%) (5)
= $2,700
And, for gianna, the interest be like
= ($10,000) (4.5%) (6)
= $2,350
So, the difference is
= $2,700 - $2,350
= $350
hence, The difference between the amounts of interest Marcus and Gianna paid for their car loan should be $350.
Learn more about interest here: https://brainly.com/question/21508109
Answer:
$350
Step-by-step explanation:
Simple interest formula
[tex]\Large\boxed{\sf I=Prt}[/tex]
where:
I = total interest accruedP = principalr = interest rate (in decimal form)t = time (in years)Marcus
Given:
P = $10,000r = 4.7% = 0.047t = 5 years⇒ Interest = 10000 × 0.047 × 5
⇒ Interest = $2,350
Gianna
Given:
P = $10,000r = 4.5% = 0.045t = 6 years⇒ Interest = 10000 × 0.045 × 6
⇒ Interest = $2,700
Difference
Difference = Gianna's interest - Marcus' interest
= $2,700 - $2,350
= $350
Help me plzzzzzzzzzzzzzzzzzz.
Answer:
Option A is your answer
Step-by-step explanation:
hope it helps you
have a great day
1
Line A passes through the point (-2,-8) and has a slope of 2.
Line B passes through the point (5,6) and has a slope of 2.
Answer:
y=2(5 or x) +6 should be it
Step-by-step explanation:
Find the Mean Absolute Deviation of the Following data set: Test
Scores: 90, 85, 85, 75, 70, 70,50,50
I
Answer:
71.9
Step-by-step explanation:
Answer:
the answer will be 71.875
Step-by-step explanation:
if you add all of the numbers 90+ 85+ 85+ 75+ 70+ 70+50+50
it gives u 575 and then you divide by the total of the numbers that it would be 8 so 575/8 = 71.875
In the diagram below of circle 0, GO = 8 and
mZGOJ= 60°.
G
8
60°
What is the area, in terms of A, of the shaded
region?
Answer:
[tex] \frac{80\pi} [/tex]
Step-by-step explanation:
Area of shaded region = θ/360 × πr²
Where,
θ = 360 - 60 = 300°
r = 8
Plug in the values
[tex] area = \frac{300}{360} * \pi * 8² [/tex]
[tex] = \frac{5}{6} * \pi * 64 [/tex]
[tex] = \frac{5*\pi*64}{6} [/tex]
[tex] = \frac{5*\pi*16} [/tex]
[tex] = \frac{80\pi} [/tex]
5th grade only what is the quotation of these
on saturday , Grace baby sat for x hours and was paid $9 per hour . Willow baby -sat for y hours and was paid $8 per hour. which of the following expressions represents the total that they were paid together.
Answer:
9x + 8y
Step-by-step explanation:
The students claims that the model accurately describes the motion of the galaxies in the universe what evidence from the model supports the student claim I need help bad
Answer: As the dough rises, the distance between the raisins increases, indicating that the galaxies are moving apart.
Step-by-step explanation:
Jacob buys a watch costing £84
This cost includes VAT at a rate of 20%.
How much is the watch without VAT?
Math question attached below
Answer:
4 x 2
Step-by-step explanation:
number of rows is 4
number of columns is 2
An 8 kg box is at rest and is pushed for 10 m with a 60 N force. If it's accelerated to 10 m/s, calculate the efficiency of the force.
Answer:
2/3
Step-by-step explanation:
The work done on the box is ...
Fd = (60 N)(10 m) = 600 N·m = 600 J
The amount of energy the box has as a result is ...
KE = 1/2mv² = (1/2)(8 kg)(10 m/s)² = 400 kg·m²/s² = 400 J
The ratio of box energy to energy input is ...
η = (400 J)/(600 J) = 2/3 . . . ≈ 66.7%
there are 14 boys and 16 girls in Kayla's class. what is the ratio of girls to the total number of students in the class?. write the ratio in 3 ways.
Answer:
14:16
7:8
28:32
Hope this helped :)
Answer:
...
Step-by-step explanation: