Answer:
Column A Column B
1. x² + 6x + 8 x-3,x+2
2. x³ - 7x + 6 x+1, x+2, x+3
3. x³ - 2x² - 5x + 6 x-1, x+2, x-3
Step-by-step explanation:
Column A Column B
1. x² + 6x + 8 x-3,x+2
2. x³ - 7x + 6 x+1, x+2, x+3
3. x³ - 2x² - 5x + 6 x-1, x+2, x-3
Using Factor theorem we put values of x = ±1,±2,±3 in each of the polynomials unless we get a zero.
1. x² + 6x + 8
= 1+6(1) +8= 15
1. x² + 6x + 8
4+ 12+8 = 24
1. x² + 6x + 8
(-1)² + 6(-1)+ 8
= 1-6+8= 3
1. x² + 6x + 8
(-2)² + 6(-2)+ 8
= 4-12+8= 0
1. x² + 6x + 8
(3)²+ 6(3) +8
= 9+18+8 ≠ 0
1. x² + 6x + 8
(-3)²+ 6(-3) +8
= 9-18+8 =-1
For this polynomial we have x+2= 0 or x=-2, x-3= 0 , x=3
2. x³ - 7x + 6
1-7+6= 0
2. x³ - 7x + 6
(-1)³-7(-1) +6
= 13-1≠0
2. x³ - 7x + 6
(2)³-7(2) +6
= 8-14+6= 0
2. x³ - 7x + 6
(-2)³-7(-2) +6
= -8 +14+6
2. x³ - 7x + 6
(-3)³-7(-3) +6
= -27+21+6 = 0
For this polynomial we have x+1= 0 , x+2 = 0 and x+3= 0, or x=-1,-2,-3
3. x³ - 2x² - 5x + 6
(1)³-2(1)²-5(1)+6
= 0
3. x³ - 2x² - 5x + 6
(-1)³-2(-1)²-5(-1)+6
= -1 -2 +5+6
=8
3. x³ - 2x² - 5x + 6
(2)³-2(2)²-5(2)+6
= 8-8-10+6
=-4
3. x³ - 2x² - 5x + 6
(-2)³-2(-2)²-5(-2)+6
= -8-8+10+6
=0
3. x³ - 2x² - 5x + 6
(3)³-2(3)²-5(3)+6
= 27-18-15+6
=0
3. x³ - 2x² - 5x + 6
(-3)³-2(-3)²-5(-3)+6
= -27-18+15+6
=-14
For this polynomial we have x-1= 0 ,x+2=0, x-3= 0or x=1,-2,3
How many times bigger is 2 1/4 than 2
Answer:
1 1/8
Step-by-step explanation:
Divide 2 1/4 by 2.
solve: -3 |x-3| = -6
Answer:
x = 5
Step-by-step explanation:
-3 * (x-3) = -6
3x+9 = -6 (divide by 3)
-x + 3 = -2 (minus 3)
-x = -5 (multiply by -1)
x = 5
Answer & Step-by-step explanation:
-|-2-3(6)| evaluation
Answer:
-20
Step-by-step explanation:
A student builds a model of her bathroom. The scale is 1:25. In the scale model, the students bed is 3 inches long.
HOW LONG IS THE STUDENTS ACTUAL BED?
PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
75
Step-by-step explanation:
The answer is 75 because you have to cross mutiply:
1 3
25 x
3 x 25 is 75
Please help asap
25m^2+30m-30m-36
Answer:
(5m+6) (5m-6)
Step-by-step explanation:
That's how you factor it since +30 and -30 cancel out
If the ordered pairs graphed are all equivalent ratios, what ordered pair is missing?
Answer:
12,3
Step-by-step explanation:
x axis is going by 4
y axis is going by 1
HELP! - 14 points!!!
Find three consecutive ODD integers with a sum of 75. First, write an equation, then solve.
Answer:
x+x+2+x+4 = 75
3x + 6 = 75
3x = 75-6
3x = 69
x = 23
x = 23
x+2 = 23+2 = 25
x+3 = 23+4 = 27
please helpppppppppppp
Answer:
20/3
Step-by-step explanation:
Slope = Rise/Run
11-(-9)/2-(-1)
= 20/3
Last year's computer models were priced at $1,850. They are now discounted 20%. What is the new retail price to the nearest dollar of that computer? $370 $1,480 $1,510 $1,830
Answer:
$1480Step-by-step explanation:
Step one:
Given that the price last year was $1850
and now the discount is 20%
we first need to solve for 20% of $1850
=20/100*$1850
=0.2*$1850
=$370
This means that the price was reduced by $370
so the new retail price is calculated as
=$1850-$370
=$1480
The correction option is the second in the list of options
Chestnut is trying to break his school record for eating the most hot dogs in 10 minutes he needs to eat more than 72 hot dogs to break his record after 1 minute Joy has eaten 71 for the hot dogs lady represent the number of hotdogs Joy East per minute for the next 9 minutes
If there are 20 values in a data set in order from smallest to largest, what is
the median of the data set?
A. The 10th value
B. The 9th value
C. The mean of the 10th and 11th values
D. The mean of the 9th and 10th values
Answer:
C The mean of the 10th and 11th values
Step-by-step explanation:
Strike the lowest and largest number until you get 1 or 2:
1, 2, 3,4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17, 18, 19, 20
2, 3,4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17, 18, 19
3,4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17, 18
4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17
5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16,
,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15
,7 8, 9, 10, 11, 12, 13 ,14,
8, 9, 10, 11, 12, 13
9, 10, 11, 12
10, 11,
Finding the Mean:
10+11
21
21/2
Mean:
10.5
To control an infection, a doctor recommends that a patient who weighs 92 pounds be given 320 milligrams of antibiotic. If the antibiotic is given proportionally according to the patient's weight, how much antibiotic should be given to a patient who weighs 138 pounds?
A 400 milligrams
B 480 milligrams
C 550 milligrams
D 600 milligrams
Answer:
480 milligrams
Step-by-step explanation:
92 pounds → 320 milligrams
138 pounds → 320/92 x 138 = 480 milligrams
I NEED HELP PLS HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=69
Step-by-step explanation:
15/100=x/460
=>100x=15×460 (cross multiplication)
=>100x=6900
x=69 (divide both side by 100)
Note:if you find my answer helpful. Please mark me as brainliest
(BRAINILEST IF YOU ANSWER!) The graph below shows the costs of blueberries at two different fruit stands. Which fruit stand, A or B, offers a better deal on blueberries? Explain your thinking!!
Answer:
B
Step-by-step explanation:
B cost less money bet has the same weight as A
Answer:
B.
Step-by-step explanation:
B. is less money to buy the blueberries. The highest point you can buy them at is pretty low compared to A.
What is the solution to the system of equations?
y= 1/3x-10
2x + y = 4
34756Step-by-step explanation:
Nicole is using a ¾ cup scooper to scoop some potting soil from a big bag. The bag contains 9 cups of potting soil. How many times will she have to scoop to use up the entire bag of potting soil?
Answer:
12 times
Step-by-step explanation:
Given that :
Amount of potting soil in bag = 9 cups
Size of scooping cup = 3/4 cup
The number of times scooping will be done to use entire bag of potting soil will be ;
(Amount of potting soil in bag ÷ size of scooping cup)
(9 ÷ 3/4)
9/ 1 * 4/3
= 36/3
= 12 times
Hence, scooping will have to be done 12 times in other to use entire bag if potting soil.
Given that triangle ABC congruent to triangle DEC and m
Answer:
m∠ABC=67°
Step-by-step explanation:
What addition statement does this show?
A. 10 + 3 = 13
B. 10 + (–3) = 7
C. –10 + 3 = –7
D. –10 + (–3) = –13
please answer as soon as you can!<3
Answer:
I think the answer is A sorry if I am wrong
Step-by-step explanation:
Answer:
The answer is b
Step-by-step explanation:
10 + (-3) = 7
Markus receives dollar bills from his grandfather for one week. On the first day he received $1; on the second day he received $2, on the third day he received $4, and on the fourth day he received $8. If this continues, how much money will Markus have in total by the end of the week?
(Don't forget your units.)
Answer:
$127
Step-by-step explanation:
1+2+4+8+16+32+64=127
The second the is doble the first day, the third day is double the second day, the fourth day is double the third day, keep on continuing the patern.
Answer: Markus will receive $64 dollars at the end of the week.
Step-by-step explanation: 1*2=2 2*2=4 4*2=8 8*2=16 16*2=32
32*2=64
Which figure has the largest shaded region?
Answer:
is A
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Both the others have 3/4 shaded c has less
Is 5.1 times 10 to the power of 9 a scientific notation?
Answer:
yes
Step-by-step explanation:
hope it helps
it will be written as 5.1×10^9
Answer:
yes
Step-by-step explanation:
A number in scientific notation consists of the product of a number from 1 to under 10 and an integer power of 10.
5.1 is a number from 1 to under 10.
10^9 is an integer power of 10.
Therefore, 5.1 * 10^9 is a number written in scientific notation.
4. A math tutor makes $12 an hour for the first 40 hours she works during a week and $24 an hour for each hour over 40 hours. As an exercise for her students, she had them graph her total weekly pay in dollars as it relates to her number of hours worked. Now you will do the same. (6 points: Part I - 1 point; Part II - 2 points; Part III - 1 point; Part IV - 2 points)
Part I: What equation models the tutor's total weekly pay y in dollars as it relates to the number of hours x that she has worked if the tutor has worked 40 hours or fewer?
Part II: What equation models the tutor's total weekly pay y in dollars as it relates to the number of hours x that she has worked if the tutor has worked more than 40 hours?
Part III: Combine the slope-intercept equations found in parts I and II into one piecewise equation.
Part IV: Graph the tutor's total weekly pay in dollars as it relates to her number of hours worked by using the piecewise equation from part III and the coordinate grid below.
Answer:
See below
Step-by-step explanation:
Part IWhen x ≤ 40, the equation is
y = 12xPart IIWhen x > 40
y = 12*40 + 24(x - 40) ⇒ y = 24x - 960 + 480 ⇒y = 24x - 480Part III[tex]y = \left \{ {12x, if x < or = 40 \atop {24x - 480, if x>40}} \right. \\[/tex]
Part IVThe graph is attached
Which number line models the solution set of -2x + 7 > 17?Pls do 2 answers for good measures (and brainliest)
Step-by-step explanation:
We can immediately eliminate answers B and C because we have >, meaning that the circle on the number line has to be open.
-2x+7>17
subtract 7 on both sides
-2x>10
divide by -2. remember that dividing by a negative flips the greater than or less than sign.
x<-5
the answer is D
Shelly pays $22.75 for 3.5 yards of fabric. What is the price per yard of fabric?
Answer:
Price per yard is $6,5
Step-by-step explanation:
22.75/3.5 = 6,5
Hannah has another candle that is 14 cm tall. How fast must it burn in order to also be 6 cm tall after 4 hours? Explain your thinking.
Answer:
The candle must burn at 2cm per hour in order to be 6cm tall after 4 hours. I know this because the candle has to burn 8cm in 4 hours and that amounts to 2cm per hour.
Step-by-step explanation:
Lets solve!
We have to find out how much of the candle needs to be burned!
14cm - 6cm = 8cm
The candle must burn 8cm in 4 hours!
Lets find out how much the candle burns in 1 hour.
[tex]\frac{8cm}{4hours}[/tex]= 2cm per hour
The candle must burn at 2cm per hour in order to be 6cm tall after 4 hours. I know this because the candle has to burn 8cm in 4 hours and that amounts to 2cm per hour.
Woohoo, We did it! Would you like to mark my answer as brainliest? I would love that!
Which of the following sets couldn't represent the sides of a triangle?
A.(1,2,4)
B.(5,5,5)
C.(7,8,7)
D.(9,10,11)
Answer:
A
Step-by-step explanation:
Opposite sides are equal
help please !!!!!!!!!!!!!!
Answer:
two of the points are (0,5) and (2.5,0)
Answer:
Place one dot at y = 5 x = 0. This represents the y intercept or the "5" in the equation.
Then place dots at:
(-3,10)
(-2,9)
(-1,7)
(1,3)
(2,1)
(3,-1)
(4,-3)
(5, -5)
(6, -7)
(7, -9)
The slope is -2x which makes the line slope downward, and the points above are the points on the line. Starting at the y intercept we can use the rise over run method to plot the points.
I hope this helps!!
- Kay :)
Write the number 2.1 x 10-6 in standard form.
two intersecting lines cannot be both parallel to the same line ?
True or false
Answer:
true it is true two inter
Nancy is knitting a scarf. It takes her 0.2 of an hour to knit each inch of the scarf. She wants the length of the scarf to be 60 inches.
Answer:
2 hours
Step-by-step explanation:
60 *20
Answer:
The answer would be 30 minutes.
Step-by-step explanation: