Step-by-step explanation:
We can find r by dividing the second term of the series by the first. Substitute values for a 1 , r , a n d n \displaystyle {a}_{1}, r, \text{and} n a1,r,andn into the formula and simplify. Find a1 by substituting k = 1 \displaystyle k=1 k=1 into the given explicit formula.
Blake gives piano lessons in the evenings. He earns $20 for each piano lesson and has between 0 and 6 lessons each evening. The amount he earns in an evening depends on the number of lessons he gives. What is the range of this relation?.
The range of the relation will be expressed as 0 ≤ g(x) ≤ 120
Let the number of lessons he gives be xIf he earns $20 for each piano lesson, the amount he will earn on x lessons will be $20xWriting this as a function will give:
g(x) = 20xwhere g(x) is the range of the relation.
If he has between 0 and 6 lessons each evening, the corresponding range at x = 0 and x = 6 is given as;
g(0) = 20(0) = 0g(6) = 20(6) = 120Therefore the range of the relation will be expressed as 0 ≤ g(x) ≤ 120
Learn more on range of a function here: https://brainly.com/question/10878781
Answer: {0, 20, 40, 60, 80, 100, 120}
Step-by-step explanation: Remember we only use inequality signs for continuous relations with an infinite amount of values or data points or values or points. When we're given a set finite amount of data points we use brackets for this data because it is a discrete relation.
And for this problem we're looking for the range of the relation and recall the range is the dependent values or variables that depend on the domain or independent variables. The amount of money he earns depends on the amount of hours he works. Hence, the range is {0, 20, 40, 60, 80, 100, 120} the amount of possible money he can earn.
Does the point (4, 8) satisfy the equation y = 2x?
Answer:
Yes
Step-by-step explanation:
You can answer this question by putting in the x-value [the 4 in (4, 8)] in for the x variable to see if you get the y-value [the 8 in (4, 8)] as the solution.
y=2(4)
y=8
Since 8 was the answer then yes, (4, 8) satisfies the equation y = 2x.
Without doing any calculations, is positive or negative?
Explain your reasoning.
Answer:
what is positive or negative???
how many 7 digit numbers are there where all the digits are different and are in increasing order
Answer:
36
Step-by-step explanation:
Usually, when we talk about an n-digit number, we mean one that has no leading zeros. If we use all 9 non-zero digits, the single number having increasing digits is ...
123456789
We cannot swap any digits and have the digits remain in increasing order. The only thing we can do to create different numbers is remove different pairs of digits.
There are 9C2 = 9·8/(2·1) = 36 different ways to choose 2 digits from 9. Thus, there are 36 possible 7-digit numbers with the digits in increasing order.
__
Additional comment
The first few are 1234567, 1234568, 1234569, 1234578, 1234579, 1234589, ...
.guys can you solve anything please
Answer:
3.a)2[tex]\sqrt[3]{2}[/tex]
5.a) x=2
Step-by-step explanation:
Answer:
1. If 3^x = 1 then x =0
Step-by-step explanation:
3^0 = 1
3. 2, 9 3, 7, 5, the median is 5
4.3,5,3,4,3 the mode is 3
5. A cube whose volume is 8^3 =(512cm^3)
3. B
what is the sum of the rational expressions below 2x+5/9x+4x/x-3
Answer:
23x + 9
———————
9
What type of function is represented in the table? exponential linear quadratic logarithmic
2022 EDGE ASSIGNMENT
Modeling Functions Using Finite Differences
1. C
2. A, E
3. B
4. B, D
5. D
6. A
7. B, F
The diagram shows a cube with sides of length 8 meters. A smaller cube with
sides of length 3.5 meters has been out out of the larger cube.
a) Find the volume, in cubic centimeters of the large aube before the
small cube is out out. Write your answer in scientific notation
Find the volume of the solid after the small cube is removed. Write your
answer in scientific notation. Round the coefficient to the nearest tenth
Answer:
a) 512 cm^3
b) 469.125 cm^3
Step-by-step explanation:
8*8*8 = 512 cm^3
or
8^3 = 512 cm^3
3.5^3 = 42.875
512 - 42.875 = 469.125 cm^3
You can round the second answer down
FRUIT Lilly buys fresh fruit from a fruit stand. Apples cost $5 per pound and oranges cost $4 per pound. She has $40 to spend. The table shows the function relating the number of pounds of apples, x, and the number of pounds of oranges, y, Lilly could purchase.
Answer:
Step-by-step explanation:
8 lbs of apples on the x-intercept
10lbs of peaches on y-intercept
Which graph represents the equation y= −4/3x − 2
Answer:
C -- see attachment
Step-by-step explanation:
The graph you're looking for has a y-intercept of -2 (as they all do) and a negative slope that is steeper than -1. It will have a "rise" of -4 for each "run" of 3, so point (-3, 2) will also be on the graph.
The graph shown in the attachment is the one you're looking for.
_____
Two of the offered graphs have negative slope. One (B) has a slope of -3/4, so is not the correct graph. The other (C) has a slope of -4/3. It is attached.
How many 1/2 -yard lengths are in 1 yard?
If asking how many 1/2 a yard(s) are in a whole yard your answer is 2, because 1/2 + 1/2 = 1
What is the image of the point (−7,−3) after a rotation of 9 0 ∘ counterclockwise about the origin?
It is best to use graph paper to visualise. A(-7, 9) is in 2nd quadrant, rotating 90 CCW brings the point in the 3rd quadrant to (-9, -7)
in general P (a, b) CCW P’(-b,a)
Need helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
y=2x+10
Step-by-step explanation:
the picture has the answer
How would you write "there were 3 times as many baby dinosaurs as adult dinosaurs" as an algebraic equation where x = baby dinosaurs and y = adult dinosaurs?
Step-by-step explanation:
x = 3y
or y = x/3
bottom line : there are three times as many x as there are y. or the number of y is 1/3 of x.
PLEASE help
xº
520
38°
220°
X = degrees
Step-by-step explanation:
by complete angle
x+38+52+220=360
x+310=360
x=360-310
x=50
CARD #2:
Bobby says the
dilation can be
represented by
(x, y).
A figure on a
coordinate plane is
dilated. Point A(3,9)
is dilated to A'l, 3).
Betty says the
dilation can be
represented by
(3x, 3y).
Answer:
When a dilation in the coordinate plane has the origin as the center of dilation, you can find points on the dilated image by multiplying the x- and y-coordinates of the original figure by the scale factor. For scale factor k, the algebraic representation of the dilation is (x, y) → (kx, ky). For enlargements, k > 1.
Round 1.09 to the nearest whole number.
Answer:
1
Step-by-step explanation:
1.09 is in between the whole numbers 1 and 2. it is closer to 1 since the tenths digit (0) is less than 5. if it were 5 or greater, then we would round up to 2.
Answer:
1
Step-by-step explanation:
1.09 is closer to 1 than 2, therefore the whole number is 1.
If you were counting people or objects, well you can't have 9/100 as a person so you'd round to 2. But in this case, round to 1!
I hope this helped :)
what is 3 3/4 + 2 5/7
Answer:
6 13/28
Step-by-step explanation:
Hope this helps!
Write an integer for each situation
1. A deposit of $40
2. A loss of 20 pounds
Make x the subject of the formula x/a 2 + 3 b = 2 c
Answer: x=-3ab/2+ac
Step-by-step explanation:
Multiply to remove the fraction, then set equal to 0 and solve.
Find the equation of a line that passes through the point (-4,1) and has a gradient of 2.
Leave your answer in the form
y=mx+c
Answer:
y = 2x + 9.
Step-by-step explanation:
Using the point-slope form:
y - y1 = m(x - x1) where m = the slope and (x1, y1) is a point on the line.
So here we have:
y - 1 = 2(x - (-4))
y - 1 = 2(x + 4)
y - 1 = 2x + 8
y = 2x + 9.
HELP PLEASE..........
Answer:
19.47
Step-by-step explanation:
Use the law of sines.
sin(90)/6 = sin(x)/2
Multiply both sides by 2
2 * sin(90)/6 = sin(x)
Use a calculator
0.33333 = sin(x)
sin^-1 0.3333 = 19.47
Find the value of x, y, and z.
Solve by whatever method you would prefer. (Leave answers as improper fractions) 3x+2y=-10 2x-5y=3 (Show your work (Brainliest)
Answer:
y = -29/19 and x = -44/19
Step-by-step explanation:
3x + 2y = -10 multiply by -2 ⇔ -6x - 4y = 20
2x - 5y = 3 multiply by 3 ⇔ 6x - 15y = 9
Add the two equation -19y = 29
y = -29/19
Use equation one and solve for x
3x + 2(-29/19) = -10
3x - 58/19 = -10
3x = -10 + 58/19
3x = -190/19 + 58/19
3x = (-190 + 58)/19
3x = -132/19
x = - 132/ 19 ÷3 [tex]\frac{-132}{19} (\frac{1}{3} ) = \frac{-44}{19}[/tex]
x = -44/19
what is 8 1/5 as a improper fraction
Answer:
41/5
Step-by-step explanation:
So the answer is that 8 1/5 as a decimal is 8.2.
We convert it to an improper fraction which, in this case, is 41/5 and then we divide the new numerator (41) by the denominator to get our answer.
What is the value of x in the equation 2
(4x+)-(3x+2)- 8(9-x) = x
Answer:
open the bracket
(4X+)-3X-2-72+X=X
4X+(-3X)-74+X=X
X-74+X=X
2X-74=X
then collect the term
-74=X-2X
-74=-X
divide by negative every side then you get
X=74
FACTORIZE :-
3x³y( x-3y ) - 7x²y² ( x-3y )
Answer:
x²y(3x - 7)(x - 3y)
Hope you could get an idea from here.
Doubt clarification - use comment section.
(x+5)²=
(5x+9)²=
(10x²+12)²=
(x³+2x)²=
When solving an equation, Gabrielle's first step is shown below. Which property
justifies Gabrielle's first step?
Original Equation:
3(x + -3) = -1
First Step:
3x + -9= -1
1. associative property of multiplication
2. division property of equality
distributive property of multiplication over addition
3. subtraction property of equality
Answer:
i think 2. division property of equality
distributive property of multiplication over addition
X^2-y^2=48 and x-y=2. The solution to the given system of equations is (x,y). What is the value of x + y?
Answer:
24
Step-by-step explanation:
We have a system of equations, so we can start with the second equation:
[tex]x-y=2[/tex]
And move y to the other side to isolate x:
[tex]x=2+y[/tex]
Now we can replace x into the first equation:
[tex](2+y)^{2} -y^{2} =48\\ (2+y)(2+y)-y^{2} =48\\ 4+4y+y^{2} -y^{2} =48[/tex]
Notice that we can cancel out the y squared terms:
[tex]4+4y=48\\ 4y=44\\ y=11[/tex]
Now we just need to find x by replacing y into the second equation:
[tex]x-11=2\\ x=13[/tex]
And finally, add them:
[tex]x+y=11+13\\ x+y=24[/tex]
Hope this helps.
Answer:
x= 13
y=11
x^2 - y^2 = 48 and x - y = 2
x = 2 + y
(2 + y)^2 - y^2 = 48
(2 + y) (2 + y) - y^2 = 4
(4 + 2y +2y + y^2) -y^2 = 48
4 + 4y + y^2 - y^2 = 48
4 + 4y = 48
4y = 48 -4
4y = 44
y= 44/4
y= 11
Plug y back into the original equation:
x^2 - y^2 = 48
x^2 - 11^2 = 48
x^2 - 121 = 48
x^2 = 121 + 48
x^2 = 169
The square root of 169 is 13
So x= 13
x + y
13 + 11 = 24