Answer:
All real numbers are solutions.
Step-by-step explanation:
1. First you want to distribute what is inside the parenthesis. You would want to do 3 × y + 3 × -2 = 6 × y + 6 × -1 -3y.
2. Now that the equation has been distributed, you want to simplify it. 3 × y is equal to 3y, and 3 × -2 is equal to -6. So, 3y + -6 = 6 × y + 6 × -1 -3y.
3. Now you want to simplify the right side of the equation. So, 6 times y is equal to 6y, and 6 × -1 is equal to -6. Now the new equation is 3y + -6 =6y + -6-3y.
4. Also in an equation, if there is a + and - sign together like this +-, it would equal to -. So, 3y + -6 = 6y + -6-3y, is equal to 3y - 6 = 6y -6-3y.
5. Now you want to combine like terms on the right side of the equation. 3y - 6 = 3y -6 because 6y-3y is equal to 3y.
6. Now the rest of the equation has to be combined using like terms. Start by moving the -3y fromthe right side of the equation to the 3y on the left side of the equation. -3y plus 3y is equal to zero so it cancels out. The 3y on the left side plus another 3y is equal to 6y.
7. Now the equation is 6y - 6 = 6y - 6
8. You can add 6 to the -6 on both sides of the equation which would cancel out on both sides leaving you with an equation of 6y = 6y.
9. Divide both sides by 6 to get y = y.
10. This equation means that all real numbers are solutions to this equation. In other words, no matter what real number you use in this equation, it would come out to be true. For example, if y = 3, 3 = 3, so the equation is true.
If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x).
Answer:
4x + 1
Step-by-step explanation:
Multiply f + g by x because f + g is in parenthesis:
f(x) + g(x)
Then implement equation #1 for f(x) into our equation:
3x - 1 + g(x)
Then implement the other equation for g(x) into our equation:
3x - 1 + x + 2
Then switch the positions of -1 and +x:
3x + x - 1 + 2
Simmplify:
4x + 1
Pls consider giving my answer the Brainliest! Because it would help and mean a lot! ; )
Point AAA is at {(6, -6)}(6,−6)left parenthesis, 6, comma, minus, 6, right parenthesis and point CCC is at {(-6,-2)}(−6,−2)left parenthesis, minus, 6, comma, minus, 2, right parenthesis. Find the coordinates of point BBB on \overline{AC} AC start overline, A, C, end overline such that AB=\dfrac34ACAB= 4 3 ACA, B, equals, start fraction, 3, divided by, 4, end fraction, A, C.
Answer:
B(-3, -3)
Step-by-step explanation:
If a point O(x, y) divides line segment XY in the ratio of n:m and the endpoints of the segment are [tex]X(x_1,y_1)\ and\ Y(x_2,y_2)[/tex], the coordinates of O is:
[tex]x=\frac{n}{n+m}(x_2-x_1)+x_1 \\\\y=\frac{n}{n+m}(y_2-y_1)+y_1[/tex]
Given that A(6, -6) and C(-6, 2). Pont B is on AC such that:
AB = (3/4)AC
AB/AC = 3/4
Therefore point B divides the line AC in the ratio of 3:1. Let point B be at (x, y), therefore:
[tex]x=\frac{3}{3+1}(-6-6)+6=\frac{3}{4}(-12)+6=-9+6=-3\\ \\y=x=\frac{3}{3+1}(-2-(-6))-6=\frac{3}{4}(4)-6=3-6=-3[/tex]
Therefore the location of B is at (-3, -3)
Answer: (-3, -3)
Step-by-step explanation: Khan academy
Find the minimum or maximum value of the function y=9x2+7. Describe the domain and range of the function, and where the function is increasing and decreasing. The minimum value is Response area. The domain is Response area and the range is Response area. The function is decreasing to the Response area of x= Response area and increasing to the Response area of x= Response area.
The given function is [tex]y=x^2+7[/tex].
Minimum or maximum value:
At the extremum (maximum or minimum) value, the function will have zero slope. So, differentiate the given function once and equate it to zero to get the extremum point.
dy/dx=0
[tex]\Rightarrow 18x=0\cdots(i)[/tex]
[tex]\Rightarrow x=0[/tex]
Now, check whether the point x=0 is corresponding to the maximum value or minimum value by differentiating the function twice,
[tex]\frac {d^2y}{dx^2}=18[/tex]
As [tex]\frac {d^2y}{dx^2} >0[/tex] for all value of x, so x=0 is the point corresponding to minima.
Put x=0 in the given function to get the minimum value.
[tex]y_{min}=9(0^2)+7[/tex]
[tex]y_{min}=7[/tex]
Domain and range:
The function defined for all the values of the independent variable, x.
So, the domain is [tex](-\infty, \infty)[/tex].
The range of the function is the possible value of y.
The minimum value, for x=0, is y=7.
The maximum value, as [tex]x\rightarrow \infty \;or\; -\infty, y\rightarrow \infty[/tex].
Hence the range of the function is [tex][7,\infty)[/tex].
The value of x for which the function is increasing and decreasing:
If the slope of the function is negative than the function is decreasing, so
Then, from equation (i), the value of x for which dy/dx<0,
18x<0
[tex]\Rightarrow x<0[/tex]
Hence, the function is decreasing for [tex]x\in {-\infty, 0)[/tex] .
While if the slope of the function is positive than the function is increasing, so
Then, from equation (i), the value of x for which dy/dx<0,
18x>0
[tex]\Rightarrow x>0[/tex]
Hence, the function is increasing for [tex]x\in {0,\infty)[/tex]
A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of water are needed for each cup of milk?
Answer:
Step-by-step explanation:
A comparison between the cups of milk and cups of water can be written as a ratio: Note that:1/3 >1/4
1/3 : 1/4 ← x 12 to get rid of fractions 12/1 x 1/3 : 12/1 x 1/4=4:3 4 cups of milk are used with 3 cups of water ←÷ 41 cup of milk is used with 3/4 cup of water
Please help ASAP!!!!
Which expression is equivalent?
- 5(2x -3y +4)
Answer:
A
Step-by-step explanation:
x3 = 0.008 what does the x equal
Find he percent of change from 1250 to 1,755mi
PLZ HELP!! 50POINTS BRAINLYEST IF CORRECT ANSWER IF U GIVE BAD ANSWER OR JUST SOMTHING RANDOM OR SAY HOLD UP ONE SEC I WILL REPORT I REALLY NEED THIS TO BRONG UP MY GRADE WILL GIVE U 50 more if u want I have 900 points
Answer:
see below
Step-by-step explanation:
-6 4/9 - 3 2/9 - 8 2/9= -6 4/9 - 3 2/9 = -9 2/3
= -9 2/3 - 8 2/9
= -17 8/9
-12.48 - (-2.99) - 5.62= -12.48 + 2.99 + 5.62
= -15.11
-19 2/9 - 4 1/9 - ( -3 4/9)= -173/9 - 37/9 + 31/9
= -179/9
= -19 8/9
-353.92 - (-283.56) - 131.29= -353.92 + 283.56 - 131.29
= - 201.65
83 1/5 - 108 2/5 - ( - 99 1/5)= 416 - 542 + 496
5
= 74
PLEASE HURRY!!! 10 POINTS Which ordered pair would form a proportional relationship with the point graphed below?
100ty
90
80
70
60
50
40
30
20
10
45.30)
10 20 30 40 50 60 70 80 90
(10, 10)
(25, 35)
(70, 50)
Answer:
50
Step-by-step explanation:50 is the right answer!!
Help!!!!!!!!!!!!!!!!Will mark BRAINLIEST
Answer:
Step-by-step explanation:
1. true
2. true
3. false ( pie chart )
4. true
5. false ( y axis )
6. true
7. true
Hope this helps
plz mark as brainliest!!!!!!
fb + 3b = d solve for b
Answer: the answer is d/f+3
sorry i couldnt find my work for this problem but i hope it helps !
An equation is formed of two equal expressions. When in the given equation the value fo b is d/(f+3).
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
fb + 3b = d
Take b as a common term from both the terms on the left side of the equation,
b(f + 3) = d
Divide both the sides of the equation by (f+3),
b(f + 3)/(f+3) = d/(f+3)
Simplify,
b = d/(f+3)
Hence, when in the given equation the value fo b is d/(f+3).
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Hi, i would really appreciate if someone helped me out!
A corner store sells two kinds of baked goods: cakes and pies. A cake costs $11 and a pie costs $10. In one day, the store sold 11 baked goods for a total of $117. How many cakes did they sell?
Answer:
7cakes and 4 pies
Step-by-step explanation:
A music player app has 2 gigabytes of storage and can hold about 500 songs. A similar, but larger app has 80
gigabytes of storage. About how many songs can the larger app hold?
Answer:
20,000
Step-by-step explanation:
Penelope has a birdhouse that is 4 and 9/10 feet
above the roof of her garage. She has a second
birdhouse that is 5.36 feet below the roof of
her garage. What is the distance between the
birdhouses?
Answer:
The distance between the bird houses are 10.26 feet
Step-by-step explanation:
The distance between the birdhouses is 10.26 feet.
What is simplification?A mathematical expression gets simpler when it is transformed into an equivalent, frequently shorter statement. One strategy for promoting uniformity in job effort, cost, and time is procedure simplification. It lessens diversity and variation that is harmful, unwanted, or unneeded.
Given, Penelope has a birdhouse that is 4 and 9/10 feet above the roof of her garage. She has a second birdhouse that is 5.36 feet below the roof of her garage. thus,
Distance between garage roof and birdhouse = 4.9 feet
Distance between garage roof and second birdhouse = 5.36 feet
Since these birdhouses are in the opposite directions of the garage roof
Hence the total distance between them = 4.9 + 5.36
the total distance between birdhouses is 10.26 feet
Therefore, the Two birdhouses are 10.26 feet apart from each other.
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I need the answer to this question please.
Answer:
√1 is a rational number as it is 1. The other three options are irrational.
Answer:
1 4 6 10
----------------------------------------------
whats the slope of this graph
Finish the proportion using the figure below:
a = c
j ?
A. D
B. K
C. B
D. A
hey i need some help with this
Answer:
82 degrees
Step-by-step explanation:
if lines m and n are parallel then the two angles are equivalent. The angles on the opposite side are 98 degrees.
If the domain of the sqaure root function f(x) is x <= 7, which statement must be true?
A) 7 is subtracted from from the x term inside the radical.
B) The radical is multiplied by a negative number.
C) 7 is added to the radical term.
D) The x-term inside the radical has a negative coefficient.
Answer:
D
Explanition:
2. Tyler is solving this system of equations:
4p + 2g = 62
8p - q = 59
He can think of two ways to eliminate a variable and solve the system:
o Multiply 4p + 2g = 62 by 2, then subtract 8p - q= 59 from the result.
• Multiply 8p-q=59 by 2, then add the result to 4p + 2q = 62.
Do both strategies work for solving the system? Explain or show your reasoning.
please help out ://
Answer:
Both of them work
Step-by-step explanation:
by multiplying the first equation by 2 it creates the same coefficient in front of "p" for both equations. same for the second equation and "q".
Both strategies works since we can easily eliminate a variable from both equations.
Given the simultaneous equation solved by Tyler
4p + 2q = 62
8p - q = 59
In order for him to eliminate a variable to solve the system of equations, he must ensure that the coeffiecient of the variable to be eliminated are equations in both expressions. To do that;
Multiply 4p + 2g = 62 by 2, then subtract 8p - q= 59 from the result. This will give;8p + 4g = 124
8p - q = 59
Subtract
4q + q = 124 + 59
5q = 183
The second required strategy is to Multiply 8p-q=59 by 2, then add the result to 4p + 2q = 62, to have:
16p-2q=118
4p + 2q = 62
Adding up
16p + 4p = 118 + 62
20p = 180
p = 9
We can see that both strategies works since we can easily eliminate a variable from both equations.
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if pqr=tsr what are the congruent corresponding parts
Answer: The congruent corresponding parts:
∠P≅∠T (first letter) , ∠Q≅∠S (second letter), ∠R≅∠R (third letter)
segment PQ ≅ segment TS , segment QR≅ segment SR , segment PR ≅ segment TR.
Step-by-step explanation:
We know that if two triangles area congruent then the corresponding parts area congruent.
Given: ΔPQR ≅ ΔTSR
Then, ∠P≅∠T (first letter) , ∠Q≅∠S (second letter), ∠R≅∠R (third letter)
segment PQ ≅ segment TS , segment QR≅ segment SR , segment PR ≅ segment TR.
Hence, the congruent corresponding parts:
∠P≅∠T (first letter) , ∠Q≅∠S (second letter), ∠R≅∠R (third letter)
segment PQ ≅ segment TS , segment QR≅ segment SR , segment PR ≅ segment TR.
The corresponding parts of a triangle are parts that have the same measurement.
The corresponding parts are: P & T, Q & S and R & R
The given parameter is:
[tex]\mathbf{\triangle pqr \cong \triangle tsr}[/tex]
The above congruence equation means that:
[tex]\mathbf{\angle p \cong \angle t}[/tex]
[tex]\mathbf{\angle q \cong \angle s}[/tex]
[tex]\mathbf{\angle r \cong \angle r}[/tex]
Hence, the corresponding parts are:
P & T, Q & S and R & R
The above highlight means that:
P corresponds to TQ corresponds to SR corresponds to RRead more about corresponding parts at:
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What is (7.8 x 10) • (1.0 x 10)
780 is the answer. Hope this helps :)
A secretary earns $12 an hour and worked a total of 47 hours last week she earns time and a half for work beyond 40hours calculate her pay
Answer:
$606
Step-by-step explanation:
For the first 40 hours, she was making $12. With this, we can do 12x40, which is 480$. We can store that in a safe space for later access. Afterwards, since the problem says that "after 40 hours she earns time and a half for her work" we can assume she gets 1.5x her pay after 40 hours, which is $18 (We can get this by 12 / 2 = 6. Then do 12 + 6 = 18). Then we can do 18x7 because she worked 7 hours over 40. With that, we get 126$. Now we can do 480$ + 126$ = 606$. So, she earned 606$.
Please show all work
Answer:
w = 19/15 or 1 4/15
Step-by-step explanation:
11/15 = w-(8/15) // - w-(8/15)
11/15-w+8/15 = 0
19/15-w = 0 // - 19/15
-w = -19/15 // * -1
w = 19/15
w = 19/15
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
[tex]1.)~Swap~sides~so~that~all~variable~terms~are~on~the~left~hand~side:[/tex]
[tex]\bold{\frac{11}{15} =w-\frac{8}{15}}~=~\bold{w-\frac{8}{15}=\frac{11}{15} }[/tex][tex]2.)~Since~\frac{11}{15} ~and~\frac{8}{15}~have~the~same~denominator,~add~them~by~adding~their~numerators:[/tex]
[tex]\bold{w=\frac{11+8}{15}~=~\frac{19}{15}}[/tex]______________________________
[tex]\bold{Answers:}[/tex]
[tex]Improper~Fraction~Form:\bold{w=\frac{19}{15}}[/tex][tex]Mixed~Number~Form:\bold{w=1\frac{4}{15}}[/tex][tex]Decimal~Form:\bold{w=1.266666667}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}[/tex]
Solve for y in the following equation.
Answer: The last one.... -9
hope this helped :>
HELP , ILL GIVE BRAINLIEST. Answer 5-8 please .
Answer:
#5. 17, #6. 22, #7. 14, and #8. 13
Step-by-step explanation:
-1/2 + 3/4 - 3/8 what is it?
Answer:
-1/8
Step-by-step explanation:
-1/2 + 3/4 - 3/8 = -1/8
Can I have Brainliest please?
Answer:
[tex]\frac{-1}{8}[/tex]
Step-by-step explanation:
So first find the greatest common factor of the denominators
GCF of 2 , 4 and 8 is 8
Then :
[tex]\frac{-4 + 6 - 3}{8}[/tex]
So you do this to get the above answer:
8 divided by the denominator times the numerator.
You still need to work it out
-4 + 6 = 2
[tex]\frac{2- 3}{8}[/tex]
2 - 3 is -1
Thus the answer is [tex]\frac{-1}{8}[/tex]
HOPE THIS HELPED
Write 56/49 in simplest form
Answer:
8/7 or 1 1/7
Step-by-step explanation:
Answer:
8/7
Step-by-step explanation:
hayley jogs 3/4 miles in 1/6 of an hour
maxwell jogs 2/3 miles in 2/15 who is faster and how much faster
Maxwell is faster and faster by 0.5 miles/hour.
Given that, Hayley jogs 3/4 miles in 1/6 of an hour and Maxwell jogs 2/3 miles in 2/15.
We need to find who is faster and how much faster.
What is an average speed?An average speed is the total distance travelled divided by the total time travelled. The formula to find the average speed is Average speed = Total distance / Total time.
Now speed of Hayley= 3/4 ÷ 1/6
=3/4 × 6=9/2
=4.5 miles/hour
Speed of Maxwell= 2/3 ÷ 2/15
= 2/3 × 15/2 = 5 miles/hour
The difference in the speed =5-4.5=0.5 miles/hour
Therefore, Maxwell is faster and faster by 0.5 miles/hour.
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