Factor and find all the zeros of 2x^3+3x^2-8x+3 if -3 is a zero
Answers
.. 2x^2 -3x +1
That, in turn, factors as
.. (2x -1)(x -1)
So the complete factorization is
.. (2x -1)(x -1)(x +3)
and the zeros are confirmed by a graphing calculator to be
.. x = 1/2, 1, -3
Related Questions
The sum of two consecutive integers is 37. Write an equation that models this situation and find the values of the two integers.
Answers
n+n + 1 = 37
2n + 1 = 37
2n = 36
n = 18
n+1 = 19
18 and 19
Hope this helps ^_^
Which of the following statements is not true about reflections?
The image faces the same direction as the pre-image.
The image is the same shape as the pre-image.
The image is the same size as the pre-image.
Points on the pre-image are the same distance from the line of reflection as the corresponding points on the image.
Answers
Hope this helps ^_^
Answer: The image faces the same direction as the pre-image.
Step-by-step explanation:
Reflection is a transformation in which a geometric shape (pre- image) is reflected across a line called as axis of reflection, producing a mirror image.
It is a rigid transformation because the image is the same size and shape as the pre-image.
Since it produces the mirror image of the original image therefore, the points on the pre-image are the same distance from the line of reflection as the corresponding points on the image.
So the only statement is not true about reflection is "The image faces the same direction as the pre-image. ".
Of all the houses on kermit lane, 20 have front porches, 20 have front yards, and 40 have back yards. how many houses are on kermit lane?
Answers
can you please help me with this I will crown you brainly
Answers
It's identical on both sides.
You are looking for your first credit card. You plan to use this credit card only for emergencies and to pay the credit card balance in full each month. Which credit card feature is most important?
a.
No annual fee
b.
Low APR
c.
Generous rewards program
d.
No balance transfer fee
Answers
Answer:
A
Step-by-step explanation:
EDU
The credit card feature of "No annual fee" represents the correct alternative of the given ones.
What is credit card?A credit card is a payment card issued to users to enable the cardholder to pay a merchant for goods and services based on the cardholder's accrued debt.
Given is that you are looking for your first credit card. You plan to use this credit card only for emergencies and to pay the credit card balance in full each month.
The credit card feature of "No annual fee" is suitable for emergencies.
Therefore, the credit card feature of "No annual fee" represents the correct alternative of the given ones.
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The vertex of a quadratic function is located at (1, 4), and the y-intercept of the function is (0, 1). What is the value of a if the function is written in the form y = a(x – h)2 + k?
a=____
Answers
[tex]y=a(x-1)^{2} +4[/tex]
The y-intercept of the parabola is (0,1). Which means for x=0, y=1 for the given parabola. Using these values of x and y in above equation, we can find the value of a for the parabola.
[tex]1=a (0-1)^{2} +4 \\ \\ 1-4=a \\ \\ a=-3[/tex]
The equation of parabola thus becomes:
[tex]y=-3 (x-1)^{2} +4[/tex]
Answer:
-3
Step-by-step explanation:
right on edge
A Rectangle launch tray has a length of X centimeters and a width of 15 cm the trays length is at least 20% greater than it's width. right an inequality to represent this situation. suppose X is a whole number find the least possible permitted and the least possible area of the lunch tray
Answers
x-------------> length rectangle launch tray
w------------< width rectangle launch tray------> 15 cm
length is at least 20% greater than it's width
x>=1.2w---------> x>=1.2*15
the answer part a) is
x>=18 ---------------> ( inequality to represent this situation)
part b) suppose X is a whole number find the least possible permitted and the least possible area of the lunch tray
the least possible permitted length is 18 cm
the least possible area of the lunch tray is 18*15=270 cm²
A square has sides of length s. A rectangle is 6 inches shorter and 1 inch longer than the square. Which of the following polynomials represents the area of the rectangle? Select all that apply.
Answers
The width of the rectagle is b=s-6
Area of the rectangle is A = a * b = (s+1) (s-6) = s^2 - 5s - 6
You didn't submit any polynomials.........
Write an equation of the line that passes through the points (-2,-2) and (0,5)
Answers
Jason is buying hamburgers and hot dogs for a barbecue. One package of hamburgers costs $10. One package of hotdogs costs $5. He has $60 to spend, and must buy AT LEAST 3 packages of hot dogs.
What 2 inequalities can be used?
Answers
he needs AT LEAST 3 packages of hotdogs
so
[tex]d \geqslant 3[/tex]
each packet costs $5 so he must spend $15 in total on hotdogs
so he can spend NO MORE than $45 on hamburgers so can buy no more than 4 packs of hamburgers
so
[tex]b \leqslant 4[/tex]
Answer:
10x + 5y ≤ 60 & y ≥ 3Step-by-step explanation:
Let x = the number of hamburgers
Let y = the number of hotdogs
Let us first represent the amount of food:
10x + 5y ≤ 60
This means x packages of $10 hamburgers plus y packages of $5 hotdogs is greater than or equal to $60.
However, we have also been given another important piece of information and that is that he must buy at least three packages of hotdogs.
y ≥ 3
this means that the packages of hotdogs must be no less than 3.
Hence or two inequalities are 10x + 5y ≤ 60 & y ≥ 3.
This also means that the least he can spend on hotdogs is $15. The most he can spend on hamburgers is $45, meaning the most packages of hamburgers he can get is 4
PLEASE MARK BRAINLIEST
Mr Daniels is organizing a class field trip on a budget of $900.The bus rental costs $600. Mr.daniels will also buy tickets that will cost $9.50 per student. Write an inequality to represent the number students,y, that he can bring on the trip.
Answers
600 fixed amount
9.5 is the variable changing amount and differs among number of students taken
Answer:
y ≤ 31 students
Step-by-step explanation:
The rental cost is a fixed cost that will be incurred irrespective of the number of students embarking on the class field trip. This cost added to the total ticket cost must be less than or equal to the budget.
the total ticket cost for y number of students
= 9.5y
Hence the total cost = 9.5y + 600 ( measured in $)
In inequality form,
9.5y + 600 ≤ 900 (all in $)
9.5y ≤ 900 - 600
9.5y ≤ 300
y ≤ 300/9.5
y ≤ 31 students
Look at the rational expression below. x^2-4/2-x Which value of x makes the expression undefined?
Answers
Answer:
given rational function is undefined for x = 2
Step-by-step explanation:
The given rational function is
[tex]\frac{x^2-4}{2-x}[/tex]
The rational function is undefined if the denominator is zero.
Hence, the given rational function is undefined if
[tex]2-x=0[/tex]
Solve the equation for x
[tex]x=2[/tex]
Therefore, the given rational function is undefined for x = 2
A square banner has an area of (4x^2-12x+9) square inches. Write an expression for the perimeter of the banner.
Answers
Ans since it is square, then we can take the root of the equation to find on side of the square, which is (2x-3) and by multiplying it by4, we can find the perimeter.
Which phrase describes an unknown or changeable quantity? A. 60 seconds multiplied by 5 B. 2 times the number of pages in the book C. 15 years of schooling D. 3 dollars and 76 cents
Answers
The correct answer for APEX is B (2 times the number of pages in the book)
helppppppppppppppppppppppppp[
Answers
We have:
g [h (x)]
We have then:
g [h (x)] = ((4-x) +1) / ((4-x) -2)
We rewrite:
g [h (x)] = (5-x) / (2-x)
then:
g [h (-3)] = (5 - (- 3)) / (2 - (- 3))
g [h (-3)] = 8/5
Answer:
8/5
If y is directly proportional to x and y is 12 when x = 10, what is the constant of variation?
Answers
constant of variation = 1.2
Explanation:
y varies directly with x means that as x increases, y increases and vice versa.
This can be translated into the following equation:
y = kx
where k is the constant of pvariation.
We are given that:
y = 12 when x = 10.
Therefore, we will substitute with these values in the above equation and solve for k as follows:
y = kx
12 = k * 10
k = 12 / 10
k = 1.2
This means that the equation relating x and y is:
y = 1.2x
where 1.2 is the constant of variation.
Hope this helps :)
Answer:constant of variation = 1.2
Step-by-step explanation:
Select the statements that are true for the graph of y=(x−1)^2(−6)
The vertex is (1, −6) .
The vertex is (−1, −6) .
The graph has a minimum.
The graph has a maximum.
Answers
Hope this helps<3
From the graph of given function, we have vertex (1, -6). Therefore, option A is the correct answer.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is y=(x-1)²-6.
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex: (1, -6)
Focus: (1, -23/4)
Axis of symmetry: x=1
Directrix: y=-25/4
The coordinate points to plot are (-1, -2), (0, -5), (1, -6), (2, -5) and (3, -2).
Therefore, option A is the correct answer.
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help with these two please....
Answers
Answer: fourth choice 6, - 3+3√3 i, and -3 - 3√3 i
Solution:
1) Factor x^3 - 216 as a difference of cubes:
(x)^3 - (6)^3 = (x - 6) (x^2 + 6x + 6^2) = (x - 6) (x^2 + 6x + 36) = 0
3) first factor = 0 => x - 6 = 0 => x = 6
4) second factor = 0 => x^2 + 6x + 36 = 0
Using the quadratic formula:
x = [ - 6 +/- √(6^2 - 4*1*36) ] / (2)
=> x = [ - 6 +/- √ (-108) ] / 2 = -3 +/- 3√3 i
=> x = - 3 + 3√3 and x = - 3 - 3√3 i
Answer: 3, - 3+3√3 i, and -3 - 3√3 i
2) Which is equivalent to (2p^2 + 5pq - q^2) + (p^2 + 3pq - 2q^2) ?
Answer: first option 3p^2 + 8pq - 3q^2
Solution:
1) eliminate parenthesis:
2p^2 + 5pq - q^2 + p^2 + 3pq - 2q^2
2) combine like terms:
2p^2 + p^2 = 3p^2
5pq + 3pq = 8pq
-q^2 - 2q^2 = - 3q^2
3) The result is 3p^2 + 8pq - 3q^2, which is the first option.
Write an expression to show the sum of fourteen and triple eight.
Answers
Gina earns $19,750 annually and has 20% of her gross earnings
withheld. What is the net amount of her paycheck each pay period if
she is paid biweekly?
a. $607.69
b. $658.33
c. $14,000
d. $134.62
ANSWER ASAP AND GET BRAINEST
Answers
15800 / 26 = 607.69
Answer is A
For model 5, the tip of the blade travels 0.18 mile per revolution. What is the approximate speed, in revolutions per minute,for model 5?
Answers
need the answer tooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
The approximate speed of model 5's 148-foot blade travels at 0.18 miles per revolution converted to feet is approximately 385.8 revolutions per hour.
To find the number of revolutions per minute for Model 5 with a blade length of 148 feet and a tip speed of 0.18 miles per revolution,
use the following calculation:
First, convert the tip speed from miles to feet:
0.18 miles × 5280 feet per mile = 950.4 feet per revolution
Now, divide this by the length of the blade in feet:
950.4 feet per revolution / 148 feet = 6.43 revolutions per minute
Finally, multiply this by 60 minutes per hour to get the number of revolutions per hour:
6.43 revolutions per minute × 60 minutes per hour = 385.8 revolutions per hour
Therefore, the required speed of model 5 has a blade that makes approximately 385.8 revolutions per hour.
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Which diagram shows parallel lines cut by a transversal?
Answers
Answer:
The third diagram.
Step-by-step explanation:
When we have two parallel lines cut by a transversal, vertical angles are congruent; alternate interior angles are congruent; alternate exterior angles are congruent; corresponding angles are congruent; and same-side interior angles are supplementary.
In the first diagram, we have two angles on the same side of their respective parallel lines and the same side of the transversal. These are by definition corresponding angles. Since they are not congruent, these lines are not truly parallel.
In the second diagram, we have two angles on opposite sides of the transversal and outside the block of parallel lines. These are by definition alternate exterior angles. Since they are not congruent, these lines are not truly parallel.
In the third diagram, we have two angles inside the block of parallel lines and on the same side of the transversal. These are by definition same-side interior angles. Since they are congruent, these are parallel lines.
The radius of the bulls-eye of the dartboard is 8 inches. The radius of each concentric circle (there are 4 labeled A, B, C, D from the inside out) is 14 inches more than the radius of the circle inside it. If a dart lands at random on the dartboard, the probability that the dart will hit in area C is what percent?
Answers
The area for B (including the area of A) is A=3.14(8+14)²=1519.76 in².
The area for C (including the areas of A and B) is A=3.14(8+14+14)²=4069.44.
The area for D (including the areas of A, B and C) is A=3.14(8+14+14+14)²=7850 in².
We now need to know how much the ring for circle C takes up. We take the entire area for C and subtract the total area for B (since it includes A):
4069.44-1519.76=2549.68 in².
To find the percent, we divide this amount by the total area of the board, 7850:
2549.68/7850=0.3248
The probability of hitting circle C would be 32.48%.
Gina sells 216 cakes in the ratio small :medium:large 5:7:12. The profit for one medium cake is twice the profit for one small cake. The profit for one large cake is three times the profit for one small cake. Her total profit id £648.45. Work out the profit for one small cake.
Answers
Answer:
£1.31
Step-by-step explanation:
5+7+12=24
216÷24=9
Small=9x5=45
Medium=9x7=63
Large=9x12=108
2x= Medium, Large= 3x, Small=x
Small=45x, Medium= 63x2=126x, Large=108x3=324x
45x+126x+324x=495x
£648.45=495x
£648.45÷495=x
£1.31=x
The profit for one small cake will be £ 1.31. The profit of the one small cake is the amount of benifit obtained to sell one cake.
What is profit?When money generated from a commercial activity exceeds the expenses, costs, and taxes involved in maintaining the activity in question, profit is earned.
The ratio of the small :medium: large cake is 5:7:12.
Let the cake is considered to be x;
The sum of alll the cakes is;
5x+7x+12x=24 x
The total no of cake is 216
Each no of cake is found as;
[tex]\rm 24 x = 216 \\\\ x = 9[/tex]
The number of the small cake;
N(s) = 9 ×5 =45
N(m)=9×7=63
N(l)=9×12=108
Let the small cake is x
The profit for one medium cake is twice the profit for one small cake;
P(m)=2x
P(l)=3x
P(s)=x
The small medium and the large cake according to the new condition will be 45 x,126x,324x respectively.
The sum of all the cakes according to the new condition is found as;
[tex]4s x +126 x+324 c \\\\ 495 x=648.45 \\\\ x=\£ \ 1.31[/tex]
Hence the profit for one small cake will be £ 1.31.
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Solve the system of equations using the linear combination method.
{5p−3q=−39
{−2p−3q=3
Enter your answers in the boxes.
Answers
- (-2p - 3q = 3)
==> 7p = -42 ==> p = -6
==> p = -6
-2(-6) - 3q = 3 ==> 12 - 3q = 3
==>p = -6
-3q = 3 - 12 ==> -3q = -9
==> p = -6
q = 3
By solving the equations through linear combination method we are going to get the values of p and q are -6 and three.
What is linear combination method?It is a bit like elimination method of solving equations within which one variable is eliminated so we'll get the worth of another variable.
How to solve an equation?We are having two equations:
5p-3q=-39-------------1
-2p-3q=3---------------2
equation1 * 2 and equation 2 *5
10p-6q=-78
-10p-15q=15
Now add both equations
10p-6q-10p-15q=-78+15
-21q=-63
q=3
Put the worth of q in 1
5p-3(-3)=-39
5p+9=-39
5p=-30
p=-6
Hence the system of equations have the worth of p=-6 and q=3.
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Help please asap, thanks
can someone explain how you factor 6x^3 + 8x^2 + 2x
Answers
6x3+8x2+2x
=2x(3x+1)(x+1)
Answer:
2x(3x+1)(x+1)
The first thing you should do in this case is to take out the common factor of all the terms of the expression.
We have then:
Step 1:
2 * (3x ^ 3 + 4x ^ 2 + x)
Step 2:
2x * (3x ^ 2 + 4x + 1)
Step 3:
2x * 3((x + 1) * (x + 1/3))
2 x * ( x + 1 ) ( 3x + 1 )
Answer:
The factored expression is:
2 x * ( x + 1 ) ( 3x + 1 )
Y varies inversley with x y= 0.5 x= 3 what is the value of k the constant of inverse variations
Answers
y = k/x
when y = 0.5, x = 3
0.5 = k/3
k = 0.5 x 3 = 1.5
k = 1.5
y = 1.5/x or y = 3/2x
PLEASE HELP NOW I ONLY NEED TO KNOW NUMBER 5. 25 POINTS!!!
Points C and D are equidistant from point A. Complete the following table to prove that AEC ≅ AED.
Answers
AC = AD (S) (Points C and D are equidistant from point A)
AE = AE (S) (The two triangle shared the same side)
∠CAE = ∠EAD (A) (This angle is between the two sides that we just proved to be equal)
By SAS,
ΔEAD ≡ ΔEAC
This net folds into a cube. Which two letters appear on opposite faces?
-D and A
-A and E
-C and D
-B and E
Answers
Answer:
- B and EStep-by-step explanation:
If this net folds into a cube, then, when we form the cube, side B and side E becomes opposite sides, because side D and side F would be placed next to side B, having side E as opposite.
Therefore, the right answer is the last choice. Sides B and E appear on opposite sides.
Which expression gives the distance between the points (4, 6) and (7, -3)?
Answers
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. In the ordered pair (4, 6), 4 is the x-coordinate and 6 is the y-coordinate. In the ordered pair (7, -3), 7 is the x-coordinate and -3 is the y-coordinate. Substituting those values in gives us
[tex]\sqrt{(4-7)^2+(6--3)^2}[/tex]. Since subtracting a negative is the same as adding a positive, we now have
Answer:
The expression gives the distance between the points (4, 6) and (7, -3) is Option (C) .
i.e
[tex]Distance\ formula = \sqrt{(7 - 4)^{2} + (6 +3)^{2}}[/tex]
Step-by-step explanation:
Formula
[tex]Distance\ formula = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]
As the point are (4, 6) and (7, -3) .
Put points in the formula
[tex]Distance\ formula = \sqrt{(4 -7)^{2} + (6- (-3))^{2}}[/tex]
[tex]Distance\ formula = \sqrt{(7 - 4)^{2} + (6 +3)^{2}}[/tex]
[tex]Distance\ formula = \sqrt{(3)^{2} + (9)^{2}}[/tex]
[tex]Distance\ formula = \sqrt{9 + 81}[/tex]
[tex]Distance\ formula = \sqrt{90}[/tex]
[tex]\sqrt{90} = 9.5\ units\ (Approx)[/tex]
Distance formula = 9.5 Units (Approx)
Therefore Option (C) is correct.