Step-by-step explanation:
This is a polynomial so we can use rational roots Theorem to solve the equation.
The rational roots simply states that the roots of a polynomial, in the form of
[tex]p{x}^{n} + ax {}^{n - 1} + bx {}^{n - 2} .....r {}^{0} [/tex]
The possible roots of the polynomial are the factors of
p/r.
We say r^0 to represent the constant and p to represent the leading coeffceint.
So the rational roots states the possible roots of a polynomial is
the factors of leading coeffceint/ the factors of the constant.
In this case, the polynomial leading coeffecient is 3 and its constant is 6 so we do the factors of 3 divided by the factors of 6.
The factors of 3, are plus or minus 1 and 3. divided by factors of 6 which are plus or minus 1,2,3,6. So our possible roots are
positive or negative (1,1/2, 1/3,1/6, 3, 3/2).
Now, we see which of the following roots will that the polynomial, P will equal zero.
It seems that -1 can work so by definition, (x+1) is the a factor of the polynomial. So now we use synetheic or long division to cancel out that factor.
So our factored version of the polynomial is
[tex](x + 1)(3x {}^{3} - 14 {x}^{2} + 13x + 6)[/tex]
Now can we continue and factor the right side of the factors.
3 also works so x-3 is a factor as well so
[tex](3 {x}^{2} - 5x - 2)(x + 1)(x - 3)[/tex]
Now factor the quadratic using factoring by grouping
[tex]3 {x}^{2} - 5x - 2 = 3 {x}^{2} - 6x + x - 2 = 3x(x - 2) + 1(x - 2) [/tex]
So our factor are
[tex](3x + 1)(x - 2)[/tex]
So in conclusion our factors are
[tex](3x + 1)(x - 2)(x + 1)(x - 3)[/tex]
And our x values are -1/3, 2, -1, and 3.
Write the first five terms of the geometric sequence in which a1=27 and the common ratio is 4/3.
Answer:
27,36,48,64,256/ 3.To know the solution with Proof Refer To the above attachment .Hope this helps you !!A cycle is marked at ₹ 4500 and sold for rupees ₹4185 padma said that the discount percentage is 7 % do you agree ? give reasons.
DON'T SPAM!JUST DON'T
Answer:
Yes
Step-by-step explanation:
Given:A cycle is marked at ₹4500 and sold for rupees ₹4185.
Now, To find discount
4500 × 7 ÷ 100 = ₹315
Now,
4500 - 315 = ₹4185
Thus, The answer is Yes Agreed!
-TheUnknownScientist 72
What is the slope of the line that passes through the points ( 5 , − 10 ) (5,−10) and ( 11 , − 12 ) ? (11,−12)? Write your answer in simplest form.
The slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3
Recall:
The slope of a line passing across through two points can be calculated using: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Given two points:
(5,−10) and ( 11 , − 12 )
Let,[tex](5,-10) = (x_1, y_1)\\\\( 11 , - 12) = (x_2, y_2)[/tex]
Substitute[tex]m = \frac{-12 - (-10)}{11 - 5}[/tex]
Slope (m) = -2/6
Slope (m) = -1/3
Therefore the slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3
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mr.wilson drives 450 miles in 7 hours. at this rate about how many miles does he drive in 6 hours????
A.) 101
B.) 254
C.) 340
D.) 386
Answer:
D
Step-by-step explanation:
Divide distance he drives by 7 to find hourly rate, then multiply this by 6
450 miles ÷ 7 ≈ 64.29
Then
6 × 64.29 = 385.74 ≈ 386 miles
8. What is the linear term in the quotient of 8x" - 6x + 9x - 5x + 12 divided by 2x + 3x + 5?
Answer:
Step-by-step explanation:
Which function rule best models the data in the table. X: 0,1,2,3 y: 3,4,7,12
Answer:
x = 3y + 4x
its how graphs work
Find the x and y intercepts of each equation
Step-by-step explanation:
the y-intercept is the y value when x = 0.
the x-intercept is the x Banjul when y = 0.
now we only need to put the corresponding 0-value into the equations and calculate the other value.
a.
x = 0, y = 10
y = 0, x = 5 because
0 = 10 - 2x
2x = 10
x = 5
b.
x = 0, y = 2 because
9y = 18
y = 0, x = 18/4 = 9/2 because
4x = 18
c..
x = 0, y = -22 because
-2y = 44
y = 0, x = 44/6 = 22/3 because
6x = 44
3x = 22
d.
x = 0, y = -4/12 = -1/3 because
0 = 4 + 12y
y = 0, x = 4/2 = 2 because
2x = 4
x = 2
I need help solving for Y
Answer:
y=24
Step-by-step explanation:
since the triangles are similar, their sides are all in proportion
meaning:
[tex] \frac{20}{15} = \frac{32}{y} [/tex]
simplify the fraction
[tex] \frac{4}{3} = \frac{32}{y} [/tex]
cross multiply once the fraction is simplified
[tex]96 = 4y[/tex]
y=24
Answer:
y = 24
Step-by-step explanation:
the first triangle 20 : x : 32
the 2nd triangle 15 : 21 : y
Solve the equation of two triangles by similarity
x = [tex]\frac{21 * 20}{15}[/tex] = 28
y = [tex]\frac{21 * 32}{28}[/tex] = 24
What am I supposed to say on here the question is in the picture
If a coordinate point is at (4, 2) and is translated down 3 units and right 1 unit, what is its new coordinate point? *
Answer:
1,3
Step-by-step explanation:
If a coordinate point is at (4, 2) and is translated down 3 units and right 1 unit, what is its new coordinate point?
4-3=1
2+1=3
(1,3)
Answer: (-1,5)
Step-by-step explanation:
Joe had some money. He spent $200 on clothes, 2/5 of his remaining money on a pair of boots and saved the rest. He saved $126. How much money did Joe have at first?
Answer:
im sorry i dont get it
Step-by-step explanation:
Which table represents a linear function?
Answer:
it's the last one in the lower right corner.
I need help on this assignment
[tex]\text{Apply Pythagorean theorem,}~ \text{Hypotenuse side}^2 = \text{Opposite}^2 + \text{Adjacent side}^2[/tex]
[tex]12^2 =y^2 +8^2\\\\\implies y^2 = 12^2 -8^2 \\\\\implies y^2 = 80\\\\\implies y =\sqrt{80} = \sqrt{16\times 5}= 4\sqrt 5~~ \text{Units}[/tex]
At the beginning of the year, Wyatt had $40 in savings and saved an additional $14 each week thereafter. Julian started the year with $20 and saved $19 every week. Let WW represent the amount of money Wyatt has saved tt weeks after the beginning of the year and let JJ represent the amount of money Julian has saved tt weeks after the beginning of the year. Write an equation for each situation, in terms of t,t, and determine the interval of time when Wyatt has more in savings than Julian.
Answer:
4 weeks
Step-by-step explanation:
Wyatt's equation:
t=14w+40
Julian's equation:
t=19j+20
Since both equations equal the same thing, or t, we can equal them against each other as 1 equation
14t+40=19t+20
(subtract 20 from both sides)
14t+20=19t
(subtract 14t from both sides)
20=5t
(divide both sides by 5)
t=4 weeks
What is the value of x in the solution to this system of equations?
y+5x=-1
y=1/2x+32
A. -198/29
B. 29
C. -6
D. 37/33
Step-by-step explanation:
the answer should be a I think
-2x-3=-x+6 plssssssss I can’t find a solution
Answer:
x = -9
I'm not sure if you were looking for a solution to x but I hope this helps :)
There are 24 female performers in a dance recital. The ratio of men to women is 3:8. How many men are in the dance recital? There are men in the dance recital.
Answer:
9 men
Step-by-step explanation:
men: women : total
3 8 3+8
3 8 11
There are 24 women
24/8 = 3
Multiply each term by 3
men: women : total
3*3 8*3 11*3
9 24 33
There are 9 men at the recital
Find the slope of the line going through the points (-5, -10)
and (1,2)
The slope of the line is m =
Answer:
I know the answer
Step-by-step explanation:
cancerous blah blah blah blah blah blah blah blah blah blah blah blah blah blah sometime x 4.2 560/60 blah blah blah blah blah blah baba baba baba blah blah blah blah 12 1642 blah blah blah blah blah blah blah blah lol oh Lala go to Bells oh Wells
If IK and LN are parallel lines and M
Answer:
40°
Step-by-step explanation:
Both angles are opposites so together they equal 180.
180 - 140 = 40
I hope this helps!!
The measure of angle IJM is 40°.
What are Angles?Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.
Angles are usually measured in degrees or radians.
Given are two parallel lines IK and LN.
From the figure, OH is a transversal line that intersects the given parallel lines.
We have m ∠IJH = 140°
We have to calculate the measure of ∠IJM.
Since ∠IJH and ∠IJM are the pair of linear angles, the sum of their angles is 180°.
m ∠IJH + m ∠IJM = 180°
140° + m ∠IJM = 180°
m ∠IJM = 180° - 140°
m ∠IJM = 40°
Hence 40° is the measure of angle IJM.
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8. Steve rode 18 miles on his bike in 2 hours. Which shows Steve's average rate expressed as
a unit rate? (6.RP.2)
a.
4 miles / hour
b. 9 miles / 1 hour
c. 18 miles /2 hours
d. 36 miles / 4 hours
Answer: It would be b.
Step-by-step explanation: A unit rate means a expression for 1. If you take the ratio 2:18 and change it to 1:X, you divide both sides by 2, and X is 9 meaning Steve travels 9 miles per hour.
You want to determine the use of a graphing calculator on a test. is it Experimental or Observational
experimental I think probably
what is 18/15 in lowest terms
Answer:
Find the GCD (or HCF) of numerator and denominator. GCD of 18 and 15 is 3.
18 ÷ 315 ÷ 3.
Reduced fraction: 65. Therefore, 18/15 simplified to lowest terms is 6/5.
Which of the following does an appropriately cautious reading of a receipt entail? I. Making sure that the items charged are the same as the items received. II. Asking for a second copy for your records. III. Checking to see if all of the discounts were applied properly. A. I only b. II and III c. I and III d. I, II, and III.
An appropriate cautious reading of a receipt entail making sure that the
items charged are the same as the items received and checking to see if all
of the discounts were applied properly,
When an item is bought, a receipt is usually issued which confirms that
payment has been made for the goods or services. Receipt however should
be properly checked to detect any error in the course of the transaction.
Making sure that the items charged are the same as the items received and
checking to see if all of the discounts were applied properly should be done
to avoid shortages of the resources of the parties involved.
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Answer:
c
Step-by-step explanation:
i need help asap)))))))))))))))))))))
Answer: a
Step-by-step explanation:
u do 1+1
Myra took a picture of the sky one afternoon when two jet airplanes appeared to draw a pair of parallel lines with their vapor trails. The vapor trails from two other jets flying from another direction crossed over the parallel trails. She printed her picture and labeled the angles and lines. Parallel lines c and d are cut by transversals a and b. All angles are described clockwise, from uppercase left. The intersection of lines c and b form angles: 2, 4, 3, 1. The intersection of lines d and b form angles: 6, 8, 7, 5. The intersection of lines c and a form angles: 10, 12, 11, 9. The intersection of lines a and d form angles: 14, 16, 15, 13. Assume lines c and d are parallel and Angle2 measures 98°. Which statements are true? Select three options. MAngle3 = mAngle6 = 98° mAngle3 = mAngle14 = 98° mAngle4 = mAngle8 = 82° mAngle4 = mAngle12 = 82° mAngle5 = mAngle8 = 82°.
The following statements are true:
<3 = m<6 = 98 degrees (alternate interior angles)m<4 = m<8 = 82degrees (corresponding angles)m<5 = m<8 = 82 degrees (vertical angles)Find the diagram attached.
Given the parameter:
m<2 = 98 degrees
From the diagram, the following are true:
m<2 = m<3 = 98 degrees (vertical angles)
m<3 = m<6 = 98 degrees (alternate interior angles)The sum of m<3 and m<4 is 180 degrees.
m<3 + m<4 = 180
m<4 = 180 - m<3
m<4 = 180 = 98
m<4 = 82 degrees
m<4 = m<8 = 82degrees (corresponding angles)m<5 = m<8 = 82 degrees (vertical angles)Learn more on angles here: https://brainly.com/question/24607467
Answer: A, C, E
Step-by-step explanation: God/Edge
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
A rectangular plot of land is 64 ft long and 80 ft wide. On a map, the length is 2.8 in. Identify the width on the map.
Answer: 3.5"
64:80::2.8":x
[tex]\frac{64}{80}[/tex][tex]\frac{2.8}{x}[/tex]
2.8x80=224
224/64=3.5"
Answer:
3.5
Step-by-step explanation:
that's what the other dude said
What is the perimeter?
6 yards
8 yards
4 yards
Nvm i messed up my math
bobby and his brother had 3/4 of a pizza leftover after dinner.their father came home and ate 1/2 of the leftover pizza.how much pizza did their father eat
Which equation represents a proportional relationship?
y = 40 +1
y = 2 + 4
y = -4
FLOORING Miguel is putting hardwood flooring in a hallway that measures 4 feet by 17 feet. The wood he has chosen is $5.48 per square foot
What is the range of the actual cost of putting the flooring in the hallway?
OA) $316.47 and $372.64
OB) $372.64 and $431.55
O C) $362.64 and $382.64
OD) $316.47 and $431.55
A I think yup it's A good luck
Step-by-step explanation:
Miguel is putting hardwood flooring in a hallway that measures 4 feet by 17 feet. The wood he has chosen is $5.48 per square foot
What is the range of the actual cost of putting the flooring in the hallway?
OA) $316.47 and $372.64
OB) $372.64 and $431.55
O C) $362.64 and $382.64
OD) $316.47 and $431.55
