If x= 1 is a zero of the polynomial function f(x) = 3x³+4x² - 5x-2, which of the following is another zero of f(x)? (6 points)
Answer: x=1 x=-2 x=-1/3
Step-by-step explanation:
[tex]f(x)=3x^3+4x^2-5x-2\\\\3x^3+4x^2-5x-2=0\\\\3x^3+(-3x^2+7x^2)-5x-2=0\\\\(3x^3-3x^2)+7x^2-5x-2=0\\\\3x^2(x-1)+7x^2+(-7x+2x)-2=0\\\\3x^2(x-1)+(7x^2-7x)+(2x-2)=0\\\\3x^2(x-1)+7x(x-1)+2(x-1)=0\\\\(x-1)(3x^2+7x+2)=0\\\\x-1=0\\\\x=1\\\\3x^2+7x+2=0\\\\3x^2+(6x+x)+2=0\\\\(3x^2+6x)+(x+2)=0\\\\3x(x+2)+(x+2)=0\\\\(x+2)(3x+1)=0\\\\x+2=0\\\\x=-2\\\\3x+1=0\\\\3x=-1\\\\[/tex]
Divide both parts of the equation by 3:
[tex]\displaystyle\\x=-\frac{1}{3}[/tex]
A SALESMAN BOUGHT A COMPUTER FROM A MANUFACTURER. THE SALESMAN THEN SOLD THE COMPUTER FOR $15,600 MAKING A LOSS OF 25%. WHAT AMOUNT DID THE SALESMAN PAY THE MANUFACTURER FOR THE COMPUTER?
Answer:
20800 dollars
Step-by-step explanation:
15600*(1/0.75)
=20800
the original price was 20800 dollars.
weirdly expensive computer though
The Watkins family is trying to decide which kind of in-ground pool to install. They are determining whether to put in a saltwater pool or a basic chlorine pool. The graphs below model the average annual cost of owning each type of pool after t years.
If the family plans to move to their retirement home in 10 years, which pool would be more cost effective to install? How do you know?
The chlorine pool is more cost effective because the y-value at 10 years is less on graph B than it is on graph A.
The saltwater pool is more cost effective because the y-value at 10 years is less on graph A than it is on graph B.
They would be equally cost effective because the vertical asymptotes for each graph are the same.
They would be equally cost effective because the horizontal asymptotes for each graph are the same.
Watkins family should install a chlorine pool because it is more cost effective because the y-value at 10 years is less on graph B than it is on graph A.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
If the family plans to move to their retirement home in 10 years, We need to find which pool would be more cost effective to install.
As in the given graph, the x-axis denotes the year while the y-axis denotes the cost of maintaining the pool in that year.
When we compare the two of the given graph we will find the cost of maintaining a chlorine pool is less as compared to a salt water pool at x=10, therefore, after 10 years.
Hence, the Watkins family should install a chlorine pool because it is more cost effective because the y-value at 10 years is less on graph B than it is on graph A.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ1
Answer:
a
Step-by-step explanation:edge
tickets for a baseball game are $69 for main level seats and $39 for terrace level seats. a group of fifteen friends went to the game and spent a total of $735 for the tickets. how many of main level and how many terrace level tickets did they buy?
Tickets for a ball game are $69 for Primary Level seats and $39 for Porch Level seats. A total of $804 was spent on the tickets by a group of 16 friends who attended the game.
How many tickets were purchased for the Main Level and the Terrace Level?
No. of tickets for the Main Level = X
No. total price = 804 = 39(16 - X) + 69X = 624 - 39X + 69X = 624 + 30X 30X = 804 - 624 = 180 X = 180/30 = 6
No. of Terrace Level Tickets = 16 - X
Main Level Tickets Prace = 69X
Terrace Level Tickets Prace = 39X
Total Price = 804 = 39(16 - X) + 69X = 624 - 39X + 69X =of tickets for the Main Level, X = 6
No. of tickets for the Terrace Level: 16 - X = 16 - 6 = 10 Check:39x10 + 69x6 = 390 + 414 = 804
Learn more about Main Level here:
https://brainly.com/question/26725354
#SPJ4
Find the common difference of the arithmetic sequence -4, 1, 6,...
Hannah borrows $999 from her parents to buy a phone. She will repay $225 to start, and then another $43 per week.
A. Write an equation that can be used to determine w, the number of weeks it will take for Hannah to repay the entire amount.
B. What number of weeks will it take Hannah to repay the entire amount?
A. The equation that can be used to determine the number of weeks is $999=225+42w
B. The number of weeks it will take Hannah to repay is 18weeks
What is linear equation?An equation is a mathematical statement, which has an equal sign (=) between the algebraic expression. Linear equations are the equations of degree 1. It is the equation for the straight line. The solutions of linear equations will generate values, which when substituted for the unknown values, make the equation true. In the case of one variable, there is only one solution. For example, the equation x + 3 = 0 has only one solution as x = -2.
the total amount of money Hannah repaid is $225+$43×w, where w is the number of weeks to repay $43.
therefore $999= $225+$43w
$43w=$ (999+225)
$43w= $1224
divide both side by $43
w= $1224/$43
w= 18 weeks
therefore it will take Hannah 18weeks to repay the money.
learn more about linear equation from
https://brainly.com/question/2030026
#SPJ1
Aldo purchased a prepaid phone card for $45.75. Calls cost 7 cents a minute using this card. The credit, C (in dollars), left on the card after it is used for x
minutes of calls is given by the following function.
C(x)=45.75-0.07x
How much credit is left on the card after Aldo uses it for 20 minutes of calls?
Answer: 44.35
Step-by-step explanation:
0.07x20=1.4
45.75-1.4
Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Answer:
Slope: 1
Step-by-step explanation:
If you take 2 points on the graph, for example (0,3) and (-3,0), you can find the slope. Use the rise over run method (y2-y1/x2-x1). 0-3=-3 and -3-0=-3. After I did that, I divided it: -3/-3=1.
Graph the equation y = 2x + 2 Iready
Answer:
picture it to pixilated
Step-by-step explanation:
The x-intercept and y-intercept of the equation will be (-1, 0) and (0, 2). The graph is given below.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
x/a + y/b = 1
Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.
The linear equation is given below.
y = 2x + 2
Convert the equation into intercept form, then we have
y = 2x + 2
y - 2x = 2
y / 2 - x / 1 = 1
The x-capture and y-block of the situation will be (- 1, 0) and (0, 2). The chart is given beneath.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
10 - 2(4 + 12x)
pls give me an equation answer, not the solution!!!
Answer:
-2 ( 12x - 1 )
Step-by-step explanation:
1) Simplify the equation
To simplify the equation, we have to get rid of any brackets. To do this multiply the term to left of it with everything inside the bracket
-2 x 4 = -8-2 x 12x = -24xNow we can plug these numbers into our equation
2) Collect like terms
The equation we are left with from the previous step would be 10-8-24x
The terms that are similar are 10 and -8.
To collect like terms simplify the terms down to one term
10 - 8 = 23) Find common factor and simplify
What we are left with from the previous step is -24x+2
To find the common factor you have to find a number that goes it both numbers which for 2 and 24 would be 12.
-24x ÷ 2 = -12x2 ÷ 2 = 1We are left with -2 ( 12x - 1 )Hope this helps, have a great day!
w+5r use s=2 and b=3
Answer:
Assuming w=2 and r=3, we plug in these values
2+5*3 = 2+15 = 17
Step-by-step explanation:
find slope of points (10,8) and (1,1)
Answer: Slope=7/9
Step-by-step explanation:
m=[tex]y_{2} - y_{1} / x_{2} - x_{1}[/tex]
We can insert your equation to get:
m=8-1/10-1
Simplify:
m=7/9
change this root into a power
Answer:
[tex]2^{\frac{4}{3}}[/tex]
Step-by-step explanation:
we do the reverse of what is in the photo
Denominator of exponent is 3 and numerator 4
2^4/3
hopes this helps please mark brainliest
determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. the b. the c. the d. the e. the f. the
a. The amount of rain in City Upper B during April
b. The number of statistics students now reading a book
c. The eye color of people on commercial aircraft flights
d. The time it takes for a light bulb to burn out
e. The square footage of a house
f. The time it takes to fly from City Upper A to City Upper B
a) Continuous random variable
b) Discrete variable
c) Discrete random variable
d) Continuous random variable
e) Continuous random variable
f) Continue random variables
A variable is something whose value changes.
A discrete variable is a variable whose value can be obtained by counting.
Example: Number of students in attendance
Number of red marbles in a jar
A continuous variable is a variable whose value is determined by measurements.
Example: Height of a student in a class
Weight of a student in a class
Random variable : A random variable is a variable whose value is the numerical result of a random phenomenon.
Random variables are marked with capital letters.The probability distribution of a random variable X gives the possible values of X and how probabilities are assigned to those values.Random variables can be discrete or continuous.
A discrete random variable X has a countable number of possible values.
Example: Let X be the sum of two dice.
A continuous random variable X takes all values at a specific number interval.
The probability distribution of a continuous random variable is represented by a density curve. The probability that a continuous random variable X is exactly equal to a number is zero.On the basis of above definition we can easily evaluate that the given examples are random variable, continuous random variable or Discrete variable.
To learn more about Random and discrete Variables , refer:
https://brainly.com/question/13015864
#SPJ4
-2(9x-1)=-(x-9) - 7x
Answer:
Step-by-step explanation: 34
Answer:
x = [tex]\frac{11}{26}[/tex]
Step-by-step explanation
Expand 2(9x - 1): 18x - 2
Expand - ( x - 9 - 7x: -8 + 9
Add 2 to both sides 18x - 2 +2 = -8x + 9 + 2
Simplify
18x = -8x + 11
Add 8x to both sides
18x + 8x = -8x + 11 + 8x
Simplify
26x = 11
Divide both sides by 26
[tex]\frac{26x}{26}[/tex] = [tex]\frac{11}{26}[/tex]
Simplify
x = [tex]\frac{11}{26}[/tex]
the weather report sugested that your city temperture increase by -10 degrees and went to 20 degrees celsuis . what is the rise in temperture
Answer:just add if i am right?
Step-by-step explanation:
Mike's Fitness Center charges $30 per month for a
membership. All-Day Fitness Club charges $22 per month
plus an $80 initiation fee for a membership. After
type your answer...
months will the total amount
paid to the two fitness clubs will be $
type your answer...
For the given fees charged by two fitness clubs , number of months required by two fitness clubs to pay the same total amount is equal to 10 months.
As given in the question,
Number of fitness club = 2
Let 'x' represents the number of months
Charges for a month membership charged by Mike's Fitness center is equal to $30.
Charges for a month membership charged by All-Day Fitness club is equal to $22 plus $80 initiation fee.
Required equation when two clubs have same amount of charges is given by:
30x = 22x + 80
⇒ 30x -22x = 80
⇒ 8x = 80
⇒ x = 10 months
Therefore, number of months required by two fitness clubs to pay the same total amount is equal to 10 months.
The complete question is:
Mikes fitness center charges $30 per month for a membership. All-Day fitness club charges $22 per month plus an $80 initiation fee for a membership. After how many months will the total amount paid to the two fitness clubs be the same?
Learn more about number of months here
brainly.com/question/10288801
#SPJ1
What integer values satisfy both inequalities? − 2 < x < 3 x < 2
Answer:
-1, 0, 1
Step-by-step explanation:
Dr. Ellison says that the equation y = -3x + 7 has a solution f(2) = 5/3. Is Dr. Ellison right or wrong?
Dr. Ellison's equation that f(2) = 5/3 is wrong
How to determine if the doctor is right or wrong?From the question, we have the following equation that can be used in our computation:
y = -3x + 7
This equation can be expressed as a function
So, we have
f(x) = -3x + 7
In Dr. Ellison's equation, we have
f(2) = 5/3
This means that
x = 2
So, we have
f(2) = -3 * 2 + 7
Evaluate
f(2) = 1
The calculated value is different from Dr. Ellison's equation
Hence, the solution is wrong
Read more about linear equations at
https://brainly.com/question/4074386
#SPJ1
y + 2.1 > 0.8 Solve the inequality for y.
Simplify your answer as much as possible.
Answer:
y>-1.3
Step-by-step explanation:
y+2.1>0.8
-2.1. -2.1
y>-1.3
Hopes this helps please mark brainliest
Answer:
Hi! Okay so the Inequality form would be: Y>-1.3
and the Interval Notation would be: (-1.3, ∞)
Sorry if it doesn't work btw
Step-by-step explanation:
A recording studio charges musicians an initial fee of $ 100 to record and album. Studio time also coasts an additional $75 per hour
Write a slope intercept form equitation to model this situation
The linear model that represents the total cost of recording is f(x) = 75x + 50.
The initial fee is $50 for recording an album.
There is an additional cost per hour i.e. $75.
number of hours = x
Now based on the above information, the linear model should be f(x)=75x+50
Here 50 represent the initial fee i.e. equivalent to y-intercept
And, 75 represent the slope
Therefore we can conclude that the linear model that represents the total cost of recording is f(x) = 75x + 50.
How many solutions are there to the system of equations shown?
Answer:
There are two solutions. The parabola and the line intersect at two different points.
Answer:
Two
Step-by-step explanation:
there are two slope lines, so you need two equations for each lines.
How many natural numbers less than 200 are divisible by 4 but not divisible by 12.
There are 33 numbers that are less than 200 and divisible 4 but not divisible 12. this can be solved with the help of simplification.
What is simplification?
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.
Main body:
Given that,
To determine how many natural numbers less than 200 are divisible by 4, but not divisible by 12.
Here,
Let the largest number divisible by 4 less than 200 is 198
The total numbers divisible by 4 and less than 200 is,
= 198 / 4 = 49
Similarly
The total number divisible by 12 and less than 200 is,
= 192/ 12 = 16
So the numbers that are less than 200 but divisible 4 not by 12 is,
= 49 - 16
= 33
Hence, there are 33 numbers that are less than 200 and divisible 4 but not divisible 12.
Learn more about simplification here: https://brainly.com/question/723406
#SPJ4
examples of a unit rate
A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
Please help ASAPPPP!!!!!!!!!!!!! It’s due in 3 mins
The ball hits the ground after x = 6 seconds.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
The given equation is h(x) = -2x² + 8x + 24.
(a) when the ball is thrown, the time is t = 0 sec.
Therefore, the height of the ball when it is thrown is,
h(0) = -2(0)² +8(0) +24
h(0) = 24
(b) The derivative of the function is,
h'(x) = -4x + 8
Substitute h'(x) = 0 into the above equation,
0 = -4x +8
4x = 8
x = 2
The second derivative of the function is,
h''(x) = -4
Since the second derivative of the function is negative, the function is maximum at x = 2.
(c) The maximum height of the ball is,
h(2) = -2(2)² + 8(2) +24
h(2) = -8 +16 +24
h(2) = 32
(d) The ball hits the ground when h(x)= 0, therefore,
0 = -2x² +8x +24
0 = -2x² +12x - 4x + 24
0 = -2x(x - 6) - 4(x - 6)
0 = (x - 6)(-2x - 4)
(x - 6) = 0 or (-2x-4) = 0
x = 6 or x = -2
Since time cannot be negative, it follows, x = 6 seconds.
Hence, the ball hits the ground after x = 6 seconds.
Learn more about equations here:
https://brainly.com/question/10413253
#SPJ1
a box is given a sudden push up a ramp. friction between the box and the ramp is not negligible. which of the following diagrams best represents the directions of the actual forces acting on the box as it moves upward after the push?
For a box given a sudden push up a ramp and the friction between the box and the ramp is not negligible, the diagrams which best represent the directions of the actual forces acting on the box as it moves upward after the push is Option A.
Friction refers to the force of resistance in the relative motion of solid surfaces in contact and sliding or rolling against each other. Frictional forces are affected by the surface texture and the amount of force impelling them together and the angle and position of the object. The actual forces acting on the box will be the normal force (always perpendicular to the surface), weight force (acting downward) and frictional force (acting opposite to the direction of push).
Note: The question is missing options which are provided in the figure.
Learn more about Friction:
https://brainly.com/question/13680415
#SPJ4
2 -3 - > › Solve for x 5(x + 2) = 6x +1 X =
Answer:
the is 20 because you need to multiple
What is the answer to this question
Answer:
Angle 6 is 78 degrees Angle 7 is 102 degrees
Step-by-step explanation:
Since both lines are parallel, you can assume that Angle 6 plus Angle 7 are a linear pair. Angle 1 corresponds to Angle 5 by the corresponding parts. Angle 5 is congruent to Angle 7 by Vertical angles so therefore Angle 7 is 102. Since Angle 6 + Angle 7 equal 180 degrees, you can put the equation like this,
[tex]Angle 6 + 102 = 108. Angle 6 = 78.[/tex]
Therefore you get your two answers
14. What is the y-intercept on the equation y = 3x - 6*
Answer:
-6 is the y-intercept, as in the point that crosses the y axis
Choose the correct numbers from the
box below to complete the subtraction
sentence that follows.
The correct numbers from the box below are 5/6 - 1/3 = 1/2.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, A table with five different fractions.
Now, 5/6 - 1/3 we will check and the result must fall in the fractions given in the table.
5/6 - 1/3.
= (5 - 2)/6.
= 3/6.
= 1/2.
learn more about fractions here :
https://brainly.com/question/10354322
#SPJ2