Answer:
A. -1, multiplicity 1; 0, multiplicity 1; 3, multiplicity 1.
Step-by-step explanation:
Let [tex]f(x) = -x^{3}+2\cdot x^{2} + 3\cdot x[/tex], to determine its roots and multiplicities we proceed to factorize the polynomial:
1) [tex]-x^{3}+2\cdot x^{2} +3\cdot x[/tex] Given
2) [tex]x\cdot (-x^{2}+2\cdot x + 3)[/tex] Distributive property
3) [tex]x\cdot (x-3)\cdot (x+1)[/tex] Quadratic formula/Result
The roots and multiplicities of [tex]f(x) = -x^{3}+2\cdot x^{2} + 3\cdot x[/tex] are:
0 (multiplicity 1)
3 (multiplicity 1)
-1 (multiplicity 1)
Therefore, the correct answer is A.
Answer:
The answer would be A!
Step-by-step explanation:
I did the question in class today. I hope this helped!
Ralph and Joe leave school walking in opposite directions. Ralph walks 1 km per hour faster than Joe. After 2 hours they are 30 km apart. What is the rate of each
Answer:
Joe's rate = 7 mph
Ralph's rate = 8 mph
Step-by-step explanation:
Give. That:
Joe's rate = x
Ralph rate = x + 1 kmph
Travel time = 2 hours
Hence, distance traveled = Speed * time
Joe's distance : 2 * x
Ralph's distance = 2 * (x + 1)
2x + 2(x + 1) = 30
2x + 2x + 2 = 30
4x + 2 = 30
4x = 30 - 2
4x = 28
x = 28/4
x = 7
Joe's rate = 7
Ralph's rate = 7 + 1 = 8
Which is equivalent to 6x-8y
Answer:
24 i guess. im not sure
100 points please helpp
Answer:
[tex]\textsf{C.} \quad C = \$10 + \$5h[/tex]
Step-by-step explanation:
Given information:
Admission fee to the Park = $10Fee for Sledding = $5 per hourGiven variables:
C = total cost (in dollars)h = time (in hours)The Park admission fee of $10 is independent of the fee charged per hour per sport. Therefore, it is represented by a constant in the equation.
The fee per hour of sledding is dependent on the number of hours spent. Therefore, it is represented by the cost of the specific sport multiplied by the given variable for time (h).
Therefore the equation that represents the cost of sledding per hour is:
C = $10 + $5h
[tex]\huge \boxed{\sf C}[/tex]
Each hour costs 5 dollars for sledding and an extra fee of 10 dollars.
[tex]\sf C = 5h + 10[/tex]
An equation contains variables and integers.
C and h are variables which means the value changes.
5 and 10 are integers.
Equal to the opposite of -45
Answer:
45 or 1/45
Step-by-step explanation:
not sure
Write P(x) = x^3 + x^2 − 17x + 15 as a product of two factors, using x − 3 as one factor.
A. (x − 3)(x^2 + x − 17)
B.(x − 3)(x^2 + 4x − 17)
C.(x − 3)(x^2 – 4x − 5)
D.(x − 3)(x^2 + 4x − 5)
Answer:
D. (x-3)(x^2 + 4x - 5)
Step-by-step explanation:
P(x) = x³ + x² - 17x + 15 can be written as (x - 3) (x² + 4x - 5) as a product of two factors.
What is Polynomials?Polynomials are expressions in algebra which consist of variables, constants and exponents combined using the basic operations in mathematics like addition, subtraction, multiplication and division.
Polynomials can be classified as monomials, binomials and trinomials depending on the degree of the variables as 1, 2 and 3 respectively.
The given polynomial is P(x) = x³ + x² - 17x + 15.
We already have x - 3 is the factor of this polynomial.
To get the other factor which is a binomial, we have to divide the given polynomial with x - 3.
On dividing, we get x² + 4x - 5 as the quotient and remainder equals zero.
So x² + 4x - 5 is the other factor of the given polynomial.
Hence, the polynomial P(x) = x³ + x² - 17x + 15 can be written as (x - 3) (x² + 4x - 5) as a product of two factors.
To learn more about Polynomials, click on the link given below:
https://brainly.com/question/11536910
#SPJ2
Giving brainleest for brainly.
how to use standard form
Answer: Standard form is another way to write slope-intercept form (as opposed to y=mx+b). It is written as Ax+By=C. You can also change slope-intercept form to standard form like this: Y=-3/2x+3. Next, you isolate the y-intercept(in this case it is 3) like this: Add 3/2x to each side of the equation to get this: 3/2x+y=3.
Step-by-step explanation: hope this helps
find the slope of the line graphed below
Answer:
To find the slope of a line, we need to know the slope formula. The slope formula is:
m = , with m being the slope and (x₁, y₁) being the coordinates of one point and (x, y) being the coordinates of the other. Now we can substitute the values of the points in our problem ( (-1,-1) and (1, -4) ) into the slope formula. Substituting, we get:
=
==
=-1.5
That means the slope of our line is -1.5
Step-by-step explanation:
Question 4
Write an algebraic expression for the following.
Joe spent three dollars less than twice as much as Fernando did.
Use x for the variable.
Question 5
Ayliah is 7 years more than 1/2 of Deb's age
use x for the variable
Mel works as a delivery person for Amazon. The graph shows a linear model for his delivery times on
different days.
(a) What is the equation of the line, first written in point-slope form and then written in slope-intercept
form? Show how you determined the equation.
(b) Based on the linear model, predict how long it initially took Phillip to deliver his packages.
Approximately how much did his delivery time decrease per day?
Answer:
Point slope form: -9 = m(3)
Slope intercept form: y = -3x + 30
At x = 0, his delivery time was 30 minutes. It decreased by 3 minutes per day.
Step-by-step explanation:
We have 2 points to calculate the line.
(3, 21) x1 y1
(6, 12) x2 y2
First, we need to calculate the slope.
m =
m =
m = -3
Point slope form is:
y - y1 = m(x - x1)
So for our case:
-9 = m(3)
And slope intercept form is:
y = mx + b
We need to solve for the y intercept (b)
y = -3x + b --- enter the slope
21 = -3(3) + b --- enter in any point on the line for x and y
21 = -9 + b
b = 30 --- solve for b
Now our slope intercept form of the line is:
y = -3x + 30
At x = 0, his delivery time was 30 minutes. It decreased by 3 minutes per day.
If 5p - 2r = 19 and 2p + r = 4, find (p+r)
Answer:
5p-2r =19 in this one 5*5-2*3 so in this one p is =5 and r =3 and in the next one 2p+r=4 the answer is for p =1 and r =2 this means 2*1=2 and 2+2=4 and the first one is 5*5=25 and 2*3= 6 and 25-6=19 so that's it I guess
This scatter plot and line of best fit show the relationship between the height and the mass of 15 different dog breeds. The circled point in the scatter plot corresponds to the Afghan Hound. What conclusion can be drawn about the predicted mass and the actual mass of the Afghan Hound?
Answer:
The mass of the Afghan Hound is exactly what is predicted by the line of best fit.
Answer:
no clue i came to recieve answers
Step-by-step explanation:
These two triangles are similar. If the base of △ A B C is 3 cm and the base of △ D E F is 7 cm, and the area of △ A B C is 7 cm², calculate the area of △ D E F. Round your answer to two decimal places.
Answer:
38.11 cm^2
Step-by-step explanation:
DEF is larger than ABC
therefore find the height of ABC
7 = 1/2 * 3 * h
h = 7 * 2/3
h = 14/3
So, lets find height for DEF, 7/3 = H/ 14/3
H = 98/9
A = 1/2 * 7 * 98/9
A = 38.11 cm^2
You are painting all four walls of a shed. Each wall is a rectangle with a length of 14 feet and a height of 8 feet. A gallon of paint covers about 350 square feet. How many gallons of paint do you need in order to cover the walls? Write your answer as a decimal.
about gallons
Answer:
1.28 gallons
Step-by-step explanation:
Multiply 14 and 8 then multiply that by 4 for each wall. Divide that number by 350 to get the number of gallons
brainliest please
convert to standard form y=-4x-8
Answer:
[tex]4x + y = - 8[/tex]
Step-by-step explanation:
write in standard form :
[tex]ax + by = c[/tex]
grams of fish
number of calories
1000
2001
Enter the missing values in the boxes below.
b=0
Answer:
♂️ but if you know please answer
Answer:
12344567891011121314151617181920
Step-by-step explanation:
12344567891011121314151617181920
Which graph represents the solution set of and ?
graph I
graph II
graph III
graph IV
A.
graph I
B.
graph II
C.
graph III
D.
graph IV
Answer:
GRAPH IIIStep-by-step explanation:
Look at the picture.
We have
y = x² - 4 → move the graph of x² 4 units down (the vertex is (0, -4))
x + y + 2 = 0 subtracy x and 2 from both sides
y = -x - 2 → move the graph of -x 2 units down (the y-intercept os -2)
Only graph III and IV meets these conditions.
The solution is the points of intersection of the graphs.
Therefore your answer is GRAPH III
Answer:
[tex]\fbox {C. graph lll}[/tex]
Step-by-step explanation:
The solution of the system of equations can be found at their intersections.
The graph which is correct is graph III as it has the correct representations of the equations and correctly indicates the points of intersection.
Trey wants to take a European vacation in 3 years. He estimates the cost to be $10,000.
About how much must he save monthly in an account that pays 4% interest, compounded monthly, to have enough money for the vacation?
Answer:
Monthly deposit= $262.062
Step-by-step explanation:
Giving the following information:
Future value= $10,000
Number of periods= 12*3= 36 months
Interest rate= 0.04/12= 0.0033
To calculate the monthly deposit, we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
A= (10,000*0.0033) / [(1.0033^36) - 1]
A= $262.062
Centimeter using decimal
63mm
Answer:
6.3cm
Step-by-step explanation:
10mm=1cm
63mm=?cm
(cross multiply)
?=(63mm×1cm)/10mm
?=6.3cm
what is the answer to 3c-7c+a+b
Marisol is making a rectangular wooden frame. She wants the length of the frame to be no more than 12 inches. She has less than 30 inches of wood to use. Which system of inequalities represents the possible length, l, and the possible width, w, that her frame could have?
l ≤ 12
2l + 2w 12
2l + 2w 12
l + w < 30
Answer:
a i the answer
Step-by-step explanation:
l ≤ 12
2l + 2w < 30
Answer: a
Step-by-step explanation:
PLEASE PLEASE HELP I WILL GIVE BRAINALIST AND EXTRA POINTS
Answer:
Step-by-step explanation:
1) phone
38.95 = 0.03 * mins + 29.95
9.00 = 0.03 * mins
9.00 /0.03 = mins
300 = mins
so he used 300 minutes :)
2) books
8.70 =14 * bookPrice + 2.40
6.30 = 14 * bookPrice
6.30 / 14 = bookPrice
0.45 = bookPrice
each book cost 45 cents :)
X varies directly with y. If x is 24 when y is 36, find x when y is 132.
equation:_________
x=_________
Step-by-step explanation:
x = ky, where k is a real constant.
When y = 36, x = 24.
=> (24) = k(36), k = 2/3.
Hence x = (2/3)y.
When y = 132, x = (2/3)(132) = 88.
Answer:
see explanation
Step-by-step explanation:
Given x varies directly with y then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 24 when y = 36, then
36 = 24k ( divide both sides by 24 )
1.5 = k
y = 1.5x ← equation of variation
When y = 132, then
132 = 1.5x ( divide both sides by 1.5 )
x = 88
Find the missing angle measure Angle STU?
Explain how to estimate the quotient using compatible numbers. 27 and two-thirds divided by 3 and nine-tenths
Answer:
the estimation of the quotient is 7
Step-by-step explanation:
The computation of estimating the quotient is shown below:
It is given that the number is 27
After that the two-third would be divided by 3
And, then the nine-tenth
Based on the above information, the estimation of the quotient is
= 27 + 2 ÷ 3 ÷ 3 + 9 ÷ 10
= 27 + 0.67 ÷ 3 + 0.9
= 27.67 ÷ 3.9
= 28 ÷ 4
= 7
hence, the estimation of the quotient is 7
The cost of 5 cans of dog food is 4.35. At this price how much do 11 cans of dog food cost? Explain!
Answer:
Ok so it would be 9.57
Step-by-step explanation:
4.35÷5 = 0.87
so 1 can is 0.87
$0.87*11=$ 9.57
WHAT IS THE RIGHT ANSWER? HELP PLS!
=============================================
Explanation:
If you graphed the equation 2x-5y = 14, you'll find it has a positive slope. It turns out the slope in this equation is 2/5, which is positive. A positive slope means the line goes uphill as you move from left to right. This means we can rule out choice because of this (since we want the line to slope downward).
Now let's turn to choice D. If we multiply both sides of the first inequality by -1, then we go from [tex]-2x-5y \le 14[/tex] to [tex]2x+5y \ge -14[/tex]. Note the inequality sign flips. This always happens when we multiply both sides by any negative number. The inequality [tex]2x+5y \ge -14[/tex] implies that the shaded region will be above the boundary line, but this contradicts the drawing which shows the shaded region is below the diagonal boundary line. We can rule out choice D because of this. Choice A can be ruled out for similar reasoning.
You should find that only choice B is left. The diagonal line is 2x+5y = 14, and we shade below this boundary line, as well as shading to the right of the y axis (to indicate all values have positive x coordinates). Values on the boundary count as solution points as well.
which is the better value 36 pictures for $8 or 24 pictures for $5
Answer:
24 pictures for $5
Step-by-step explanation:
To find out the better value, we have to find the price of a singular picture. To do this, we will divide each number by the amount of pictures.
For the first deal, 36 pictures cost $8, so 1 picture costs about $0.22.
For the second deal, 24 pictures cost $5, so 1 picture costs about $0.21.
Since the second deal costs less, it is a better deal.
Answer:
The best deal is 24 pictures for $5.
Step-by-step explanation:
In order to find out which price is better, we need to find the amount of pictures per dollar. This is also known as the unit rate.
36 ÷ 8 = 4.5 or 5 when rounded to the nearest whole number.
24 ÷ 5 = 4.8 or 5 when rounded to the nearest whole number.
However, since 4.8 is in fact higher than 4.5, the best deal is 24 pictures for $5.
Hope this helps! :D
2
A small business collected data each month to find out if money spent on advertising
affected the total sales for the company. The table shows the data collected over
several months.
Total Sales
Money Spent on
Advertising ($)
200
250
1,500
1,505
1,600
1,650
260
300
350
1,700
450
1,825
525
1,875
What is the correlation coefficient between money spent and total sales?
Answer:
Step-by-step explanation:
3
This year, a small business had a total revenue of $89,700. If this is 38% more than their total revenue the previous year, what was their total revenue the previous year?
Answer:
The business' total revenue last year was $65,000.
Step-by-step explanation:
So, if you need to find the previous year's total revenue, you would set up an equation like this:
x + 0.38x = 89,700
I think it would work out something like this:
x + 0.38x = 89,700
1.38x = 89,700
x = 65,000
To check, we would substitute 65,000 into the equation x + 0.38x = 89,700.
x + 0.38x = 89,700
(65,000) + 0.38(65,000) = 89,700
65,000 + 24,700 = 89,700
89,700 = 89,700