Write a function rule for the table
х
f(x)
0
3
1
4
2
5
3
6
Answer:
f(x) = x +3
Step-by-step explanation:
The first differences for adjacent x-values are all 1, so this is a linear function. Because those differences are all 1, it is a linear function with a slope of 1. We observe that f(0) = 3, so that is the y-intercept.
__
The slope-intercept form of a linear function is ...
y = mx + b . . . . . where m is the slope (1) and b is the y-intercept (3).
A suitable function rule is ...
f(x) = x +3
Evaluate ∫4x cos(2-3x)dx
Answer:
[tex]{ \sf{ \int 4x \cos(2 - 3x) dx = {4x}^{2} \cos(2 - 3x) + c }}[/tex]
Step-by-step explanation:
From integration by parts:
[tex]{ \boxed{ \bf{ \int u \: \frac{dv}{dx} = uv - \int v \: \frac{du}{dx} }}}[/tex]
let u be cos(2-3x) and let dv/dx be 4x:
[tex]{ \sf{ \frac{du}{dx} = 3 \sin(2 - 3x) }} \\ \\ { \sf{ v = \int 4x = 2 {x}^{2} }}[/tex]
Substitute in formular box:
[tex]{ \sf{ = (2 {x}^{2} \times \cos(2 - 3x)) - \int 2 {x}^{2} .3 \sin(2 - 3x) dx}} \\ = { \sf{2 {x}^{2} ( \cos(2 - 3x) - 3 \int \sin(2 - 3x)dx }} \\ { \sf{ = 2 {x}^{2} ( \cos(2 - 3x) - 3( - \frac{1}{3} \cos(2 - 3x) ) + c}} \\ { \sf{ = {4x}^{2} \cos(2 - 3x) + c}}[/tex]
c. The sum of two number is 59. If the Smaller number is less than the bigger one by 7,find the number.
Step-by-step explanation:
Hi there!
According to the question;
The sum of two number is 59. And the Smaller number is less than the bigger one by 7,
Let the bigger number be "X" then smaller number will be x-7.
Then;
x + (x-7) = 59
2x = 59+7
X = 66/2
Therefore, the bigger number (X) is 33 and smaller number (x-7) is 26.
Hope it helps!
Please please please please help
Answer:
m = 9
Step-by-step explanation:
8/12 = 6/m
8m = 72
m = 9
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(m-1)/2 - (m-2)/3 = ( m - 4 )/7
Answer:
m = - 31
Step-by-step explanation:
Given
[tex]\frac{m-1}{2}[/tex] - [tex]\frac{m-2}{3}[/tex] = [tex]\frac{m-4}{7}[/tex]
Multiply through by 42 , the LCM of 2, 3 and 7 , to clear the fractions
21(m - 1) - 14(m - 2) = 6(m - 4) ← distribute parenthesis
21m - 21 - 14m + 28 = 6m - 24
7m + 7 = 6m - 24 ( subtract 6m from both sides )
m + 7 = - 24 ( subtract 7 from both sides )
m = - 31
Will Mark Brainlest Help pls
Answer:
can you snap it again it's not clear
The graph of f(x) = StartRoot x EndRoot is reflected over the y-axis. Use the graphing calculator to graph this reflection. Which list contains three points that lie on the graph of the reflection? (–81, 9), (–36, 6), (–1, 1) (1, –1), (16, –4), (36, –6) (–49, 7), (–18, 9), (–1, 1) (1, –1), (4, –16), (5, –25)
Answer:
(–81, 9), (–36, 6), (–1, 1) are the correct three points.
Step-by-step explanation:
Given the function:
[tex]f(x) =\sqrt x[/tex]
Please refer to the attached image.
The green line shows the graph of actual function.
It is reflected over y axis.
The reflected graph is shown in black color in attached image.
When reflected over y axis, the sign of variable [tex]x[/tex] changes from Positive to Negative.
So, the resultant function becomes:
[tex]f(x)=\sqrt{-x}[/tex]
i.e. we will have to give the values of x as negative now.
so, the options in which value of x is negative are the possible answers only.
The possible answers are:
(–81, 9), (–36, 6), (–1, 1) and
(–49, 7), (–18, 9), (–1, 1)
Now, we will check the square root function condition.
In the 2nd option, (–18, 9) does not satisfy the condition.
So, the correct answer is:
(–81, 9), (–36, 6), (–1, 1)
Answer:
A on E2020
Step-by-step explanation:
:)
will mark brainliest! determine if this is a one solution, no solution, or infinite solution equation
yesterday the temperature was 1 degree farenheit. today the temperature is 0 degree farhenheit. what is the change in tempeature from yesterday to today
Answer:
It is one degrees colder
A taxi charges a flat rate of $8 plus $2 per mile travelled. Write an equation to represent the total cost of a journey. (Let d miles = distance travelled)
Answer:
Y = 8 + 2d
Step-by-step explanation:
Y = 8 + 2d where d is miles traveled
Answer:
y = 2d + 8
Brainliest, please!
Step-by-step explanation:
y = mx + b
m = slope, b = y-intercept
The flat rate of $8 is the y-intercept, and the slope is $2.
y = 2x + 8
We can change x to d to match the context of this problem.
y = 2d + 8
Convert each number to scientific notation or standard notation.
1.0395 × 10^9
4 × 10^2
Answer:
1)1,0395x10^9
2)its already in scientific notation?
If you write it in standard notation, which is actually just regular notations it's 400.
Step-by-step explanation:
Scientific notation can be used to represent very large or small numbers. A number written in scientific notation will have one non-zero digit to the left of the decimal point, multiplied by a power of 10 , with the power corresponding to the amount of places the decimal should move.
4.1<7 as a fraction. pls workout and ill mark you brainliest
Answer:
4/7
Step-by-step explanation:
hope this helps
*PLEASE ANSWER ASAP* What is the total volume of the cube below?
Answer:
V = 125 cu.
Step-by-step explanation:
Since volume = L x W x H -->
Plug the numbers in --> 5 x 5 x 5 (5 cubed) -->
25 x 5 = 125
Thus, the total volume of this cube is 125 cu.
Hope this helps!
Answer:
The answer is option AStep-by-step explanation:
Volume of a cube = l³
where l is the length of one side
From the question
there are 5 squares on each side of the cube
So l = 5 units
Volume of the cube = 5³
We have the final answer as
Volume = 125 cubic unitsHope this helps you
please help me I need
Answer
1
[tex](a + b)^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]
Therefore
Answer:
1
Step-by-step explanation:
SEE IMAGE FOR Solution ...
can someone please help me with this
f(x)=2x^3-x^2+5 / x-1
f(3)=2(3)^3-3^2+5 / 3-1
f(3)=54-9+5 / 2
f(3)=50 / 2
f(3)=25
Given the equation 4x−8y=32, a second equation that forms a system with no solution is: 1. x−2y=8 2. x−2y=32 3. x+2y=8 4. 2x−y=32
Answer:
2. x−2y=32.3
Step-by-step explanation:
Given 4x - 8y = 32, a second equation that forms a system with no solution is most easily found by reducing the given equation to x - 2y = 8; we can then easily compare this x - 2y = 8 to x - 2y = 32.3. These two lines are parallel and thus do not intercept, and thus the system has no solution.
(x-5)(3x-8)=(4-3x)(6-x)+13
Answer:
x = 3
Step-by-step explanation:
Use FOIL method
(x - 5)(3x - 8) = x*3x + x*(-8) + (-5)*(3x) + (-5)*(-8)
= 3x² - 8x - 15x + 40 {Combine like terms}
= 3x² - 23x + 40
(4 - 3x)( 6 - x) = 4*6 + 4 *(-x) + (-3x)*6 + (-3x)*(-x)
= 24 - 4x - 18x + 3x² {Combine like terms}
= 3x² - 22x + 24
(x - 5)(3x - 8) = (4 - 3x)( 6 - x) + 13
3x² - 23x + 40 = 3x² -22x + 24 + 13
3x² - 23x + 40 - 3x² + 22x - 24 - 13 = 0
3x² - 3x² - 23x + 22x + 40 - 24 - 13 = 0 {Combine like terms}
0 - x = 0
-x +3= 0
3 = x
x =3
Hola pordrian ayudarme con esto:
Resuelve las ecuaciones aplicando la fórmula general
a) 2xsobre2-7×+3=0
Hace mucho que ni hacia este tipo de problemas y por eso les pido su ayuda
Answer:
sorry I don't understand can somebody help him??
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Larry is going on a road trip for work. He is recording how many miles he drives, and how many gallons of gas he uses for his expense report. Which is the independent variable?
A. the amount of gasoline Larry uses
B. the type of car Larry drives
C. the type of roads Larry drives on
D. the amount of miles Larry drives
Answer: option A the amount of gasoline larry uses
Step-by-step explanation:
This is because a independent variable is not changed by other variables.
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4.
Aliyah, Brenda and Candy share a sum of money in the ratio of 3:5:6. After
Candy gives $100 to Aliyah and $50 to Brenda, the ratio becomes 2 : 3:3.
(a) Suppose Aliyah has $3x at the start, express Candy's initial sum of money in
terms of x.
(b) Find the value of x.
(c) Hence, how much money does Brenda have in the end?
Answer:
(a) Candy's initial sum as a terms of x is $6x
(b) x = $60
(c) $350
Step-by-step explanation:
The given parameters are;
The ratio in which Aliyah, Brenda and Candy share the sum of money = 3:5:6
The amount Candy later gives Aliyah = $100
The amount Candy later gives Brenda = $50
The new ratio of the sum of the shared money between Aliyah, Brenda and Candy = 2:3:3
(a) Whereby Aliyah has $3x at the start, we have;
Total sum of mony = Y
Amount of Aliyah's initial share = Y × 3/(3 + 5 + 6) = Y×3/14
Therefore, Y×3/14 = $3x
x = Y×3/14 ÷ 3 = Y/14
Amount of Candy's initial share = Y × 6/14
Therefore Candy's initial sum as a terms of x = $6x
(b) Given that Aliyah's and Candy's initial sum as a function of x are $3x and $6x, therefore, in the ratio 3:5:6, Brenda's initial sum as a function of x = $5x
Which gives;
Total amount of money = $14x
With
6x - 150, 3x + 100, and 5x + 50, the ratio =is 2:3:3
Therefore, we have;
14·x × 2/(2 + 3 + 3) = (6·x - 150)
14·x × 2/(8) = (6·x - 150)
14·x × 1/4 = (6·x - 150)
7·x/2 = (6·x - 150)
12·x - 300 = 7·x
12·x - 7·x = 300
5·x = 300
x = $60
(b) The final amount of money with Brenda = 5x + 50 = 5 × 60 + 50 = $350
The final amount of money with Brenda = $350.
how do you solve 2m-10=44+8m
Answer:
m = -9
Step-by-step explanation:
2m-10=44+8m
Subtract 2m from each side
2m-2m-10=44+8m-2m
-10 = 44+6m
Subtract 44 from each side
-10-44 = 44-44+6m
-54 = 6m
Divide by 6
-54/6 = 6m/6
-9 = m
Answer:
solve by solving the salvation for equation don't be a slave get educated from what's gave
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Answer:
C. $128
Step-by-step explanation:
320 x 0.5 = 160
320 - 160 = 160
160 x 0.20 = 32
160 - 32 = 128
Use the trick of Gauss to add up consecutive integers from 111 to 200200200, that is, find the sum 1+2+3+…+199+200 .\qquad\qquad\qquad 1+2+3+\ldots+199+200\;.1+2+3+…+199+200.
Answer:
20100
Step-by-step explanation:
To find the sum of:
[tex]1 + 2 + 3+ 4+ ...... +200[/tex]
As per the trick of Gauss, let us divide the above terms in two halves.
[tex]1+2+3+4+\ldots+100[/tex] and
[tex]101+102+103+104+\ldots+200[/tex]
Let us re rewrite the above terms by reversing the second sequence of terms.
[tex]1+2+3+4+\ldots+100[/tex] (it has 100 terms) and
[tex]200+199+198+197+\ldots+101[/tex] (It also has 100 terms)
Adding the corresponding terms (it will also contain 100 terms):
1 + 200 = 201
2 + 199 = 201
3 + 198 = 201
:
:
100 + 101 = 201
The number of terms in each sequence are 100.
So, we have to add 201 for 100 times to get the required sum.
Required sum = 201 + 201 + 201 + 201 + . . . + 201 (100 times)
Required sum = 100 [tex]\times[/tex] 201 = 20100
what is (-3) + (-8)
Answer:
[tex]\huge \boxed{-11}[/tex]
Step-by-step explanation:
[tex](-3)+(-8)[/tex]
[tex]\sf Factor \ negative \ sign.[/tex]
[tex]-(3+8)[/tex]
[tex]\sf Add.[/tex]
[tex]-(11)[/tex]
Step-by-step explanation:
[tex]( - 3) + ( - 8) \\ \\ remove \: unecessary \: parantheses \\ - 3 - 8 \\ = 11[/tex]
The distance between two points on a number line can be found by taking the blank of the blank of the coordinates.
absolute
value
sum
quotient
difference
product
Answer:
The correct options are;
Absolute value
Difference
Step-by-step explanation:
The distance between two points on a number line can be found by taking the absolute value of the difference of the coordinates such that the result will always have a positive value
The distance between two, points a and b on the number line is defined as [tex]\left | a - b \right |[/tex] that is the distance is found by taking finding the absolute value of the difference of the two numbers.
Aug 10,9:55:10 AM
Find the length of the third side. If necessary, round to the nearest tenth.
16
10
Submit Answer
Answer:
attempt 1 out of 2
Why the answer question now correct
Answer:
461.58 in²
Step-by-step explanation:
The surface area (A) is calculated as
A = area of base + area of curved surface
= πr² + πrl ( r is the radius of base and l is slant height )
= 3.14 × 7² + 3.14 × 7 × 14
= 3.14 × 49 + 3.14 × 98
= 3.14(49 + 98)
= 3.14 ×147
= 461.58 in²
Find X
A. 3
B. sqrt6
C. 3sqrt3
D. 3sqrt2/2
Answer:
B. sqrt 6 is the answer.maja
2x+6y=7draw graph and check x=1,y=2 is solution of this equation
Answer:
The solution in the photo
I hope it helps ^_^
F/4-5=-9 how do you do this problem
Answer:
F = -16
Step-by-step explanation:
F/4-5=-9
Add 5 to each side
F/4-5+5=-9+5
F/4=-4
Multiply each side by 4
F/4 *4=-4*4
F = -16