Answer:
6a - 2
Step-by-step explanation:
4 - 3(-2a + 2)
4 + 6a - 6
6a - 2
Calculate the value of k for which the polynomial equation f(x)=x^3-kx+12 has the root of x=-4
If x = -4 is a root of f(x), then dividing f(x) by x + 4 leaves a remainder of 0.
Compute the quotient,
(x³ - kx + 12) / (x + 4)
x³ = x² • x, and
x² (x + 4) = x³ + 4x²
Subtract this from the dividend (f(x)) to get an initial remainder of
(x³ - kx + 12) - (x³ + 4x²) = -4x² - kx + 12
-4x² = -4x • x, and
-4x (x + 4) = -4x² - 16x
Subtract this from the previous remainder to get a new one of
(-4x² - kx + 12) - (-4x² - 16x) = (16 - k) x + 12
(16 - k) x = (16 - k) • x, and
(16 - k) (x + 4) = (16 - k) x + 64 - 4k
which gives the next remainder,
((16 - k) x + 12) - ((16 - k) x + 64 - 4k) = 4k - 52
4k - 52 does not divide x, so we're done and what we've shown is
f(x) / (x + 4) = x² - 4x + 16 - k + (4k - 52)/(x + 4)
(just gathering the bold terms above and the last remainder)
The remainder should be 0, so that
4k - 52 = 0
4k = 52
k = 13
Alexander is a stockbroker. He earns 12% commission each week. Last week, he
sold $5,400 worth of stocks. How much did he make last week in commission? If he averages that
same amount each week, how much did he make in commission 2011?
Answer:
A) $648 B) $33,696
Step-by-step explanation:
attached
Which expression has a value of -22?
Answer:
−5 ⋅ 2 − 12
Step-by-step explanation:
A heating pad takes 5,657 Watts during each time it is turned on. If you only use it for 28 minutes, how much CO2 was created? Round to 1 decimal.
Answer: 2.6 pounds of CO₂
Step-by-step explanation:
1 kilowatt per hour produces 0.99 pounds of C02.
The watts used was;
= (5,657 * 28/60 hours) / 1,000
= 2,639.93333333
In kilowatts;
= 2,639.93333333/1,000
= 2.6399333 kilowatts
CO2 produced;
= 2.6399333 * 0.99
= 2.613533967
= 2.6 pounds of CO2
Can someone check if my friend did it right?
Answer:
3 mi : 5 mi or 3 mi/5 mi
Step-by-step explanation:
Answer: it’s 3/5 (fraction form)
Hope this helps :)
Step-by-step explanation:
Put the first number on top and the second on the bottom, then simplify them.
V
P
A
4 Here is an explanation that the angle sum of triangle ABC is 180°.
The reasons for each line are missing.
Give the reasons.
1. Angle A of the triangle = angle PCA
2. Angle B of the triangle = angle QCB
3. Angle PCA + angle C of the triangle + angle QCB = 180°
Hence angle A + angle B+ angle C = 180°
С
B
5 Show that the interior angles of this shape add up to 360°.
Answer:
Step-by-step explanation:
360
Please someone help me.
Answer:
Option C is the only correct answer.
Step-by-step explanation:
We can see from the number line that a is to the left of zero, so it is negative. This means option A is incorrect.
Since b is to the left of zero, b is also negative. This means that -b is positive. Since c is to the left of zero, c is negative. Therefore, option B is incorrect: a negative number can never be greater than a positive number.
We see from the number line that a is less than c. Since both a and c are negative, this implies that -a > -c. Therefore, option C is correct.
There are 4 sharks and 5 dolphins. Write the ratio of sharks to dolphins. Then find and interpret the value of the ratio.
Answer:
here is the ratio 1 : 1.25 (sharks: dolphins)
Step-by-step explanation:
The ratio of sharks to dolphins is 4 : 5
How to obtain real measurements from the ratio of two measurements?Suppose the real measurements were "a" and "b"
This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly cancelled from both the numerator and the denominator.
Thus, a = px, b = qx
Given Number of sharks = 4
Number of dolphins = 5
Therefore, the ratio of sharks to dolphins
= 4 : 5
Or 1 : 1.25
Number of animals = number of sharks + number of dolphins
Number of animals = 4 + 5 = 9
Learn more about ratio here:
brainly.com/question/186659
#SPJ2
Simplifying radicals! Please help me & Show WORK
Answer:
Solving the radical [tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})[/tex] we get [tex]\mathbf{-16\sqrt{30}+72}[/tex]
Step-by-step explanation:
We need to simplify the radical: [tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})[/tex]
Prime factors of 18 are: 2x3x3
Replacing [tex]\sqrt{18}[/tex] with its factors
[tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})\\=4\sqrt{2}(-4\sqrt{15}+3\sqrt{2\times3\times3})\\=4\sqrt{2}(-4\sqrt{15}+3\sqrt{2\times3^2})[/tex]
We know that [tex]\sqrt{3^2}=3[/tex]
[tex]=4\sqrt{2}(-4\sqrt{15}+3\times3\sqrt{2})\\=4\sqrt{2}(-4\sqrt{15}+9\sqrt{2})[/tex]
Multiplying [tex]4\sqrt{2}[/tex] with terms inside the bracket
[tex]=4\sqrt{2}(-4\sqrt{15})+4\sqrt{2}( 9\sqrt{2}))\\=-16\sqrt{2}\sqrt{15}+36\sqrt{2} \sqrt{2}[/tex]
We know that [tex]\sqrt{2} \sqrt{2}=2[/tex]
[tex]=-16\sqrt{2*15}+36(2)\\=-16\sqrt{30}+72[/tex]
So, solving the radical [tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})[/tex] we get [tex]\mathbf{-16\sqrt{30}+72}[/tex]
someone please help me!!! ill give brainliest
GIVING BRAINLIST Use the number line to answer the question. Each tick represents 1 unit.
Which of the following points represents the largest number?
P
M
J
H
adding fractions with unlike denominators
help asap Its distributive property so 6x55 i need the second part how to write it out like
(and then) a number + some other number and then what it equals 5th grade math
Answer:
I don't know exactly what you need but I have two ways.
Step-by-step explanation:
if you need to make an example: 6x55+ 6(3f-12)= or something along those lines.
or if you just need that answer then 330
I'm sorry if that's not what you were wondering
You decided to join a fantasy Baseball league and you think the best way to pick your players is to look at their Batting Averages.
You want to use data from the previous season to help predict Batting Averages to know which players to pick for the upcoming season. You want to use Runs Score, Doubles, Triples, Home Runs and Strike Outs to determine if there is a significant linear relationship for Batting Averages.
You collect data to, to help estimate Batting Average, to see which players you should choose. You collect data on 45 players to help make your decision.
x1 = Runs Score/Times at Bat
x2 = Doubles/Times at Bat
x3 = Triples/Times at Bat
x4 = Home Runs/Times at Bat
x5= Strike Outs/Times at Bat
Interpret the slope(s) of the significant predictors for Batting Average (if there are any).
See Attached Excel for Data.
Baseball data.xlsx
Doubles/Times at Bat Triples/times at bat HR/Times at Bat SO/Times at Bat
0.049 0.012 0.013 0.086
0.039 0.013 0.002 0.062
0.045 0.021 0.013 0.074
0.043 0.001 0.03 0.032
0.044 0.011 0.07 0.076
0.047 0.018 0.05 0.007
0.036 0.008 0.012 0.095
0.03 0.006 0.003 0.145
0.05 0.008 0.061 0.112
0.041 0.005 0.014 0.124
0.047 0.012 0.009 0.111
0.058 0.01 0.011 0.07
0.041 0.009 0.005 0.065
0.037 0.003 0.004 0.138
0.058 0.014 0.011 0.032
0.05 0.012 0.05 0.06
0.04 0.008 0.049 0.233
0.038 0.013 0.003 0.068
0.06 0.016 0.085 0.158
0.066 0.021 0.037 0.083
0.051 0.02 0.012 0.04
0.052 0.008 0.054 0.095
0.037 0.003 0.043 0.135
0.063 0.026 0.01 0.031
0.054 0.027 0.01 0.048
0.025 0.006 0 0.061
0.044 0.003 0.022 0.151
0.063 0.02 0.037 0.081
0.045 0.008 0 0.252
0.053 0.017 0.013 0.07
0.041 0.007 0.051 0.264
0.057 0.03 0.017 0.058
0.029 0.007 0.011 0.188
0.034 0.019 0.005 0.014
0.038 0.006 0.015 0.142
0.068 0.016 0.022 0.092
0.042 0.009 0.066 0.211
0.052 0.008 0.054 0.095
0.049 0.007 0.038 0.101
0.044 0.007 0.002 0.205
0.037 0.003 0.004 0.138
0.061 0.002 0.012 0.147
0.049 0.012 0.021 0.13
0.026 0.011 0.002 0
0.053 0.005 0.039 0.115
Question 4 options:
There are no significant predictors.
When you hold Double, Triples, Home Runs and Strike Outs constant, as Runs Score increases by 1, your Batting Average will increase by .109/Times at Bat.
When you hold Runs Score, Triples, Home Runs and Strike Outs constant, as Doubles increases by 1, your Batting Average will increase by .313/Times at Bat.
When you hold Runs Score, Doubles, Triples, and Home Runs constant, as Strike Outs increase by 1, your Batting Average will decrease by .052/Times at Bat.
When you hold Double, Triples, Home Runs and Strike Outs constant, as Runs Score increases by 1, your Batting Average will increase by .225/Times at Bat.
When you hold Runs Score, Triples, Home Runs and Strike Outs constant, as Doubles increases by 1, your Batting Average will increase by .358/Times at Bat.
When you hold Runs Score, Doubles, Triples, and Home Runs constant, as Strike Outs increase by 1, your Batting Average will decrease by .389/Times at Bat.
When you hold Double, Triples, Home Runs and Strike Outs constant, as Runs Score increases by 1, your Batting Average will increase by .447/Times at Bat.
When you hold Runs Score, Triples, Home Runs and Strike Outs constant, as Doubles increases by 1, your Batting Average will increase by .991/Times at Bat.
When you hold Runs Score, Doubles, Triples, and Home Runs constant, as Strike Outs increase by 1, your Batting Average will decrease by .285/Times at Bat.
Can someone answer all of them please ;-;
[tex]\LARGE\leadsto\sf m \angle E=41°[/tex]
[tex]\LARGE\leadsto\sf m \angle F=41°[/tex]
No-9:-[tex]\LARGE\leadsto\sf m \angle T=60°[/tex]
[tex]\LARGE\leadsto\sf m \angle V=30°[/tex]
No-10:-[tex]\LARGE\leadsto\sf m\angle G =75°[/tex]
[tex]\LARGE\leadsto\sf m \angle H=60°[/tex]
[tex]\LARGE\leadsto\sf m \angle J=45°[/tex]
Bargains warehouse has 3 shirt special. Christina bought 3 shirts on sales for $35.97 if she would have only bought one shirt, she would have paid $16.24. How much money is Christina saving on each shirt by buying 3 shirts on a special?
Answer:
12.75 Its correct
Step-by-step explanation:
Answer:
12.75
Step-by-step explanation:
hellllllllpppppppppppppppppppppp
Answer:他の答えを別の答えに移すことができ、それからミーズビルへの答えを得ることができるとき、それは数学の問題だと自分に言い聞かせてください。
Step-by-step explanation:there
Solve the following ineg
a) x² - 5x +4> 0
2
Answer:
Inequality form: x<1 or x>4
Interval Notation:
(-∞,1)∪(4,∞)
I hope this helps you
plz answer it as fast as you can
Answer:JL=MO
Source:trust me bro
Help me quickkkk please
Answer:
with? i dont see any pic
if the farmer want to stop his soil from the erosion that was happening what would he need to do.
Answer:
Crop Rotation: Rotating in high-residue crops — such as corn, hay, and small grain — can reduce erosion as the layer of residue protects topsoil from being carried away by wind and water. Conservation Tillage: Conventional tillage produces a smooth surface that leaves soil vulnerable to erosion.
Step-by-step explanation:
Despite how rapidly it progresses, it affects land productivity, soil fertility, degrades water quality, and damages water drainage. ... Erosion, in turn, facilitates the process of groundwater pollution, and the stiffened structure of soil impedes the flow of water in deeper layers.
7, 12, 10, 18, 13, 23, 29, 15, 16, 18, 15, 12, 20
find the outlier. explain your answer.
Answer:
29
Step-by-step explanation:
the rest of the numbers are closer to each other but if you plot these you see that 29 doesnt belong
Whats 40% as a decimal and just a normal convo between me and my Childhood Bestfriend.
Answer:
0.4
Step-by-step explanation:
40% is 0.4
Remember the tenths places
Hope this help:)
If it does please subscribe To Rilo Productions
TIME REMAINING
41:17
What is the value of
due of (3-54(2)-16-2?
040
-16
ООО
24
56
Sigr
Answer:
700th
Step-by-step explanation:
vhzjjb zetas CD kinda cos dsuskskxn BBC bxhxjcjjdjdjjcfjjfjfjbdhduudjthfhhff&hdjdjjff#jfjjffj#
#enaa garntiii
Reduce the ratio to the lowest term: 60 : 75
Answer:
4 : 15 is the answer for 60 : 75 to the lowest term
PLEASE HELP NOBODY EVER ANSWERS MY QUESTIONS Rip van Winkle has fallen asleep for a very long time.
The length of his beard (in millimeters) as a function of time (in weeks) is graphed.
How long was Rip van Winkle's beard when he fell asleep?
Answer:
10 millimeters
Step-by-step explanation:
Don't listen to the other answerer who was trolling, I will actually help you. To find how long his beard was when he fell asleep, we need to find the y-intercept. The y-intercept marks how long his beard was right when he fell asleep. From looking at the graph, we can see that the y-intercept is 10. This means his beard was 10 millimeters long when he fell asleep. I hope this helps!
Answer:
10 meters
Step-by-step explanation:
if you look at the start os the graph, I shows that the Y intercept is 10, therefore, the answer is 10 meters.
- a friendly 8th grader :)
What is the first step in evaluating the expression shown below?
(12.9 – 3.1) × 6.2 – 2 + 43
A. Multiply 3.1 and 6.2
B.Add 2 and 43.
C.Subtract 3.1 from 12.9
D.Subtract 2 from 6.2.
HELPPPP
Answer:
C.Subtract 3.1 from 12.9
Step-by-step explanation:
brainest plz
-3(2+4k)+7(2k-1)
A. 2k-13
b. 8k-13
c. 2k+13
d. 2k-7
9514 1404 393
Answer:
A. 2k -13
Step-by-step explanation:
-3(2 +4k) +7(2k -1)
= -6 -12k +14k -7 . . . . . . eliminate parentheses
= (-12 +14)k -6 -7 . . . . . . group like terms
= 2k -13 . . . . matches choice A
Sas asa sss aas or hL (7-11)
Answer:
Step-by-step explanation:
7) S A S
8) A A S
9) HL
10) A S A
11)A S A
Please help me:):):)
Answer:
c - 8 ≥ 25
Step-by-step explanation: