Answer:
Solution: Factors of
8 = 2x2x2
12 = 2x2x3
18 = 2x3x3
24 = 2x2x2x3
LCM = 2x2x2x3x3 = 72
Add 5 to 72 to get 77 as the answer
R = 5k - 6
work out the value of R when k=3
Answer:
R=9
Step-by-step explanation:
In the equation, replace k with 3.
R=5(3)-6
Multiply.
R=15-6
Subtract
R=9
I hope this helps!
Answer:
9
Step-by-step explanation:
R = 5k - 6
Let k = 3
R = 5*3 - 6
Multiply
R = 15 -6
Subtract
R = 9
1.{ (-7, 2), (3, 5), (8,4), (-6, 5), (-2, 3)}
Function?
Domain:
Range:
Answer:
Step-by-step explanation:
The relation will be a function as long as none of the x values are repeated or "used" more than once. Let's state the domain (the x values) to make this determination. Domain and range are both stated in order from least to greatest, no repeats allowed (so if there is one, we won't list it but will make note of it if the repeated value is an x value. The y values can repeat all they want!)
D = {-7, -6, -2, 3, 8} That's the domain and there were no repeats, so this IS a function.
R = {2, 3, 4, 5} Notice that 5 is a y value in 2 of the coordinates, but no repeats allowed so we only list it once.
Maisie has three times as many CDs as Ken. ken has twice as many CDs as Jo. Jo has more than 10 CDs. What is the least number of CDs that Masie can have?
Answer:
Least number is 60.
Step-by-step explanation:
Let the number of CDs has Jo be represented by x + 10. Where x = 0, 1, 2, 3....
Then, since Ken has twice as many CDs as Jo, the number of CDs that Ken has can be expressed as;
2(x + 10) = 2x + 20
Maisie has three times as many CDs as Ken, then the number of CDs that Maisie has can be expressed as;
3(2x + 20) = 6x + 60
Thus to determine the least number of CDs that Maisie can have, let x = 0.
3(2x + 20) = 6x + 60
= 6(0) + 60
= 60
Therefore, the least number of CDs that Maisie can have is 60.
Find the value of x that makes lines u and v parallel. 11x-2 is the "larger" looking angle on the left.
Answer: 12
11x - 2 = 130
11x = 130 + 2
11x = 132
x = 132/11
x = 12
Now with value x the angle will be 130 and using converse of corresponding angles theorem line v and u will be parallel
Answered by Gauthmath must click thanks and mark brainliest
pls help asap whats the local min value of the function below?
Answer:
given function has 2 minimums - [tex]\frac{9}{4}[/tex] and [tex]\frac{9}{4}[/tex]
Step-by-step explanation:
Step 1. g'(x) = 4x³ - 10x
Step 2. Find find the critical points:
4x³ - 10x = 2x(2x² - 5) = 0
[tex]x_{1}[/tex] = - [tex]\sqrt{\frac{5}{2} }[/tex] , [tex]x_{2}[/tex] = 0 , [tex]x_{3}[/tex] = [tex]\sqrt{\frac{5}{2} }[/tex]
Step 3. g'(x) > 0 : - [tex]\sqrt{\frac{5}{2} }[/tex] < x < 0 or x > [tex]\sqrt{\frac{5}{2} }[/tex]
g'(x) < 0 : x < - [tex]\sqrt{\frac{5}{2} }[/tex] or 0 < x < [tex]\sqrt{\frac{5}{2} }[/tex]
Step 4.
If x ∈ ( - ∞ , - [tex]\sqrt{\frac{5}{2} }[/tex] ) , g(x) is decreasing ;
If x = - [tex]\sqrt{\frac{5}{2} }[/tex] , g(x) has minimum value ;
If x ∈ ( - [tex]\sqrt{\frac{5}{2} }[/tex] , 0 ) , g(x) is increasing ;
If x = 0 , g(x) has maximum value ;
If x ∈ ( 0 , [tex]\sqrt{\frac{5}{2} }[/tex] ) , g(x) is decreasing ;
If x = [tex]\sqrt{\frac{5}{2} }[/tex] , g(x) has minimum value ;
If x ∈ ( [tex]\sqrt{\frac{5}{2} }[/tex] , ∞ ) , g(x) is increasing .
⇒ at ( - [tex]\sqrt{\frac{5}{2} }[/tex] , - [tex]\frac{9}{4}[/tex] ) and at ( [tex]\sqrt{\frac{5}{2} }[/tex] , [tex]\frac{9}{4}[/tex] ) , g(x) reaches its minimum
Factorise x + 5x + 6
Answer:
x= -2, -3
Step-by-step explanation:
I think you meant x^2+5x+6
(x+2)(x+3)
x= -2,-3
If 420 women at a conference comprise 40% of all the people at the conference, how many people are at the conference?
Answer:
1050 people
Step-by-step explanation:
if there are x people at a conference
then 40% of x = 420
40% can be written as 40/100 --> 4/10 --> 2/5
2/5 * x = 420
x = 420 * 5/2
x = 1050
please do only b and e
Answer:
b. y = x + 3
e. y = 2x + 5
Step-by-step explanation:
here is your formula: y = mx + b
x is your slope and b is your y-intercept
Hope this helps
Which of the following has the greatest value? * 9+ (-9) 9-(-9) 9X(-9) 9/(-9)
in ten minutes he traveled 8 miles Write the equation for the relationship between x and y.
Answer:
Step-by-step explanation:
The trick here is to make sure that the units are standard units, like miles / hour.
10 minutes = 10 / 60 hours.
k = 1/6 of an hour
y = k x
k = y/x
k = 8 miles / 1/6 of an hour
k = 8 * 6 // 1/6 * 6
k = 48 miles / hr
y = k x
y = 48 * x
If F(x) = 4x - 3, which of the following is the inverse of F(x)?
A. F'(x) =4x+3/7
B. F'(x) = 4x-3/7
C. F'(x) = 7x+3/4
D. F'(x) = 7x-3/4
Answer:
c)( 7x+3)/4
Step-by-step explanation:
c) (7x+3)/4
please help me with this
simplify sqrt24w^14
Answer:
2×sqrt(6)×w⁷
Step-by-step explanation:
what I can read here, you need to simplify
sqrt(24×w¹⁴)
= sqrt(24)×sqrt(w¹⁴) = sqrt(4×6)×sqrt(w¹⁴) =
= 2×sqrt(6)×sqrt(w¹⁴)
and taking the square root of something with exponent simply means dividing that exponent by 2
so,
2×sqrt(6)×w⁷
Use a table of values to graph the function ƒ(x) = + 4. Select the correct graph below.
Answer:
C.
Step-by-step explanation:
+4 in the function means the graph crosses the y axis at +4
Answer:
C)
Step-by-step explanation:
See the figure below. I made a table using a different color for each point. I plotted all points in all graphs. Clearly, graph C) is the graph of the given function.
Please tell what's the answer and also mention the steps to get the answer.
Answer:
Hope it helps
Option (C) is correct answer
Caroline,Colin & Sarah share some money in the ratio 5:9:6.
In total, Caroline and Sarah receive £44. How much does Colin get?
Answer:
Caroline gets 4*5 = 20 pounds
Colin gets 9 * 4 = 36 pounds
Sarah gets 6*4 = 24 pounds.
Step-by-step explanation:
The ratios are 5x + 9x + 6x
5x + 6x = 11x
Caroline and Sarah get a total of 44 pounds. They don't get 44 pounds each.
11x = 44 Divide by 11
x = 44/11
x = 4
Colin gets 9x
x = 4
9*4 = 36
Colin gets 35 pounds.
Caroline gets 4*5 = 20 pounds
Colin gets 9 * 4 = 36 pounds
Sarah gets 6*4 = 24 pounds.
Caroline and Sarah get 20 + 24 = 44
What is the length of BC
Answer:
CB = 17
Step-by-step explanation:
This is an isosceles triangle so AC = AB
x+9 = 2x-8
Subtract x from each side
x+9-x =2x-8-x
9 = x-8
Add 8 to each side
9+8 = x-8+8
17 = x
CB = x
CB = 17
What is the ratio of the area of the square of side x to the area of rectangle of width 2x and length 3x?
Answer:
2:3
Step-by-step explanation:
3. The vertices of trapezoid WXYZ are W(-2, 4), X(-3, 2), Y(-3, 1), and Z(-2, 1).
Which figure shows the image of trapezoid WXYZ for a glide reflection where the translation is (x, y) - (x + 2, y) and the line of
reflection is y = 0?
Step-by-step explanation:
I don't know, if I see the full picture. I see only 2 diagrams.
since the line of reflection is y=0 (= the x-axis), it can be only the upper diagram.
and something might be wrong with your translation description.
but as I said, given these two choices, due to the line of reflection, it can be only the upper diagram.
A plane is traveling at 600 miles per hour. How many feet per second is it traveling?
ft/sec
Help!
Answer:
see explanation
Step-by-step explanation:
First we need to convert 600 miles per hour into feet per hour,
which is
# 3.168e+6
next, divide both by 60 to get feet per minute, then divide by 60 again on both sides to get feet per second
which is
#880 ft per second
Analyze the diagram below and complete the instructions that follow.
Rhombus BOXY has angle measures as shown in the diagram. Find the measure of /.
A.
30°
B.
60°
C.
100°
D.
120
find x. need help w this question in the pic, thanks a lot !
Answer:
x=56 degrees
Step-by-step explanation:
the triangles are similar and the two curves match up which mean congruent so the angels are congruent
what is the reason for statement 8
a. third angle theorem
b. triangle proportionality theorem
c. congruent complements theorem
Davit and Mila are both travelling by train.
Davit's train travels 90 km in 50 minutes.
Mila's train travels 210 km.
It leaves at 12:05 and arrives at 13:35.
Work out the difference, in km/h, between the average speed of their trains.
32 km/h
Step-by-step explanation:
Davit's Train travels at 108 km/h
Mila's train travels at 140 km/h
140-108=32
Therefore the difference in their average speed is 32 km/h
What is the equation of the line that passes through the point (-1,4)and has a slope of -5?
Answer:
y = -5x - 1
Step-by-step explanation:
NOTE: This equation is in slope-intercept form. The equation in point-slope form is y - 4= -5(x + 1).
The formula for calculating slope-intercept form is y = mx + b.
Substitute the slope and the x and y intercepts for the equation: 4 = -5(-1) + b
4 = 5 + b
Subtract 5 from both sides.
So, -1 = b.
Now substitute the slope for m and -1 for b.
y = -5x + -1
= y = -5x - 1
A bag of rare spice that weighs 2/3 pounds will be split equally among 12 people. How much spice will each person get
Answer:
1/18 pound each
Step-by-step explanation:
Take the number of pounds and divide by 12 people
2/3 ÷12
Copy dot flip
2/3 * 1/12
Rewriting
2/12 * 1/3
1/6 * 1/3
1/18 pound each
Answer:
Each person will get 1/18 pounds of spice from the bag
Step-by-step explanation:
Divide 2/3 by 12:
Make 12 a fraction by adding 1 as the denominator:
2/3 ÷ 12/1
Reciprocate the second fraction:
2/3 ÷ 1/12
Turn it into multiplication:
2/3 x 1/12 = 2/36
SIMPLIFY 2/36:
2/36
Divide both sides by 2:
1/18
so your answer is 1/18
I hope I helped!
1. Giles thinks that -5x²(3x - 4) simplifies to 15x² + 20x². Explain what mistakes he made. What is the
correct answer?
Answer:
The mistake was minus sign before the 15 and putting 15x² instead of 15x³.
The correct answer is:
[tex]-5x^{2} (3x-4)\\ = -15x^{3} + 20x^{2}[/tex]
ASAP!!!!!!!
What is the range of the inverse of the given function?
[tex]f(x) = \sqrt{x} -2[/tex]
a) [2, ∞)
b) [-2, ∞)
c) (∞, 2]
d) (2, ∞]
Answer:
[2 , ∞)
Step-by-step explanation:
y = sqrt( x-2)
The domain is the values that x can take
Since we have a square root
Domain: [2 , ∞) since the square root must be greater than or equal to zero
The range is the values that y can take
The square root starts at 0 and increases
Range [0,∞)
The inverse swaps the domain and range
Range: [2 , ∞)
Domain [0,∞)
Answer: it’s A on here but check which is A on your test
Step-by-step explanation:
need help ASAPPPPP , what is the volume of the sphere?
Answer:
[tex]V =33.5\ inches[/tex]
Step-by-step explanation:
Step 1: Find the volume of the sphere
Formula for the volume of a sphere: [tex]V=\frac{4}{3}\pi r^{3}[/tex]
[tex]Radius = Diameter / 2[/tex]
[tex]Radius = 4 / 2[/tex]
[tex]Radius = 2[/tex]
[tex]V=\frac{4}{3}(3.14) (2)^{3}[/tex]
[tex]V =33.5\ inches[/tex]
Answer: [tex]V =33.5\ inches[/tex]
Eight soccer teams participate in a soccer tournament, so that each team plays with every other team exactly once. If one team wins against another, then the winning team gets two points, and the losing team gets zero points. If the two teams tie, then both teams get one point each. After the tournament, the teams are ranked by the total number points each team won. What is the minimum number of points a team must win, to ensure that it is in the top four teams
Answer:
Step-by-step explanation:
With an eight team round robin, 28 games will be played in total (The total edges in K8). Since each game will produce two points regardless of outcome, 56 total points will be shared among the eight teams. In the absence of a well-defined tie breaking system, we assume that ties do not qualify as a guarantee. We define a team's point total as "ensuring" fourth place when the fifth place team could not possibly have that many points.
Ten points are not enough and eleven points must be enough. In one extreme case, teams A,B,C,D and E all draw each other and win against F,G, and H (who also draw each other), giving a fifth place team with ten points. If we have a fifth place team with eleven points then teams A,B,C,D, and E share at least 55 points, meaning teams F,G, and H share at most one point. However, F,G, and H play each other and must share at least six points, a contradiction. Therefore, 11 points guarantees fourth place at a minimum.
A university student spends his summer months in his home town, where he works for a local microbrewery during the evening hours. In the late morning, he attends the local community college, where he takes summer courses that he knows will transfer back to his school. Although he finds the courses just as challenging as at his regular university, he does not worry about his summer grades affecting his 3.2 (out of 4.0) grade point average, because his university only accepts the transfer credits. As long as he receives C grades or better, he maintains his current grade point average. Which theory suggests that the student will work only as hard as necessary to earn a C grade
Answer:
Expectancy theory
Step-by-step explanation:
We are told that as long as he receives C grades or better, he maintains his current grade point average.
This means that;
There is a large tendency for him to work just hard enough to earn a c grade.
This depicts vrooms expectancy theory of motivation which is defined as a theory whereby a person or persons will act in a particular way just for the sake of what they will gain from exhibiting that particular selected behavior instead of others.
