Answer: b = 4
Step-by-step explanation:
Given
4b + 5 = 1 + 5b
Subtract 4b on both sides
4b + 5 - 4b = 1 + 5b - 4b
5 = 1 + b
Subtract 1 on both sides
5 - 1 = 1 + b - 1
[tex]\boxed{b=4}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Consider the equation y\:=\:-x^2\:-\:7x\:+\:12. Determine whether the function has a maximum or a minimum value. State the maximum or minimum value. What are the domain and range of the function?
Answer:
Step-by-step explanation:
To answer this we need only know that negative parabolas are upside down, so by definition, it has a max point at the vertex. To find the vertex (h, k), the easy way to do this is to fill in the following expressions for h and k and solve:
[tex]h=\frac{-b}{2a}[/tex] and [tex]k=c-\frac{b^2}{4a}[/tex] (These are derived from the quadratic formula). Filling in knowing our a = -1, b = -7, c = 12:
[tex]h=\frac{-(-7)}{2(-1)}=\frac{7}{-2}=-\frac{7}{2}[/tex] and
[tex]k=12-\frac{(-7)^2}{4(-1)}=12-(\frac{49}{-4})=12+\frac{49}{4}=\frac{97}{4}[/tex] so the vertex (aka max height occurs at [tex](-\frac{7}{2},\frac{97}{4})[/tex]. Depending upon what is meant by stating the max value, we may only need to state the k value (which is the same as the y coordinate, which is an up or down thing as opposed to the x value which is a side to side thing). The domain is all real numbers, as is the case for all x-squared parabolas, and the range is
R = {y | y ≤ 97/4}
I can't see your choices so match them up from these answers to the ones in the list of choices.
PLEASE HELP
What are the vertices of triangle A’B’C’
If triangle ABC is dilated by a scale factor of 1/2
Answer:
Option A
Step-by-step explanation:
multiple each coordinate by 1/2
P/4+=16
Pls show work!!
Answer:
64 is the answer
Step-by-step explanation:
p / 4 = 16
p = 16 x 4
p = 64
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]
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!
please help i need help with this SHOW WORK please i will give brainly
Answer:
[tex]1\frac{1}{2}[/tex] hours per acre
Step-by-step explanation:
Unit rate in hours per acre = Total hours ÷ acres
= [tex]4\frac{1}{8}[/tex] ÷ [tex]2\frac{3}{4}[/tex]
[tex]=\frac{33}{8}[/tex] ÷ [tex]\frac{11}{4}[/tex]
[tex]= \frac{33}{8}*\frac{4}{11}\\\\= \frac{3}{2}\\\\= 1\frac{1}{2}[/tex]
Write a rule to describe the transformation.
Answer:
1.) Reflect across x-axis
2.) Reflect across y-axis
3.) Move to the right by one unit
Step-by-step explanation:
The reflection rule is ''about the origin''.
Used the concept of reflection that states,
When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the origin, the x-coordinate and y-coordinate do not change places and are negated.
Given that,
Two figures VWGY and V'W'G'Y' is shown in the figure.
From the figure,
V = (0, - 2)
W = (- 1, 0)
G = (2, 0)
Y = (5, - 4)
V' = ((0, 2)
W' = ( 1, 0)
G' = (- 2, 0)
Y' = (- 5, 4)
Hence the coordinate satisfies the rule (x, y) → ( - x, - y).
So, the reflection rule is about the origin.
To learn more about the transformation visit:
https://brainly.com/question/30097107
#SPJ4
what is the reason for statement 8
a. third angle theorem
b. triangle proportionality theorem
c. congruent complements theorem
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.
5) where 2 coins are toased find the probability of getting:
1)both the coins with some place
2)both the coins with different place
3)at least one tail
5)at the most one head
Step-by-step explanation:
Let S be the sample space
S={HH, HT, TH, TT}
n(S)= 4
A: both the coins with some place
B: both the coins with different place
C:at least one tail
D:at the most one head
1) A={TT,HH}
n(A)=2
P(G)= n(A)/n(S)
= 2/4
= 1/2
2) B ={HT, TH}
n(B) = 2
P(B) = n(B)/n(S)
= 2/4
= 1/2
3) C= {HT, TH, TT}
n(C)=3
P(C) = n(C)/n(S)
= 3/4
4). D={HT, TH}
n(D) = 2
P(D) = n(D)/n(S)
= 2/4
=1/2
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.
10a^9-33a^3
Help plzz
Answer and Step-by-step explanation:
I think you have to factor the expression.
You can take out [tex]a^3[/tex], to get the expression:
[tex]a^3(10a^6-33)[/tex] <- Answer.
When multiplying values with exponents, the exponents add together, and when dividing values with exponents, the exponents subtract from each other.
In this situation, we divided [tex]a^3[/tex] from the expression, with the expressions having exponents of 9 and 3. We subtract 3 from 9 and 3 from 3, resulting in the 6 and 0 (not shown because it isn't needed to show).
#teamtrees #PAW (Plant And Water)
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
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
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.
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 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
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:
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
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
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:
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
points m and n are two vertices of a right triangle. they are the endpoints of the hypotenuse mn of the triangle. the third vertex lies in the fourth quadrant
Answer:
HEY IMAGE IS BLUR
Step-by-step explanation:
Please tell what's the answer and also mention the steps to get the answer.
Answer:
Hope it helps
Option (C) is correct answer
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
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.
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
can someone please help me with this?!?!!
Answer:
I can't help but I hope you succeed
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
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.
