Answer:
The translation of 2 units left in function f (x) = 4x + 1 is 4x + 3.
Here,
Function is given as, f(x)=4x+1
And, translation 2 units left.
We have to find the function after translation.
Now,
Function is given as, f(x)=4x+1
After translation 2 units left the function is;
f (x) = 4x + 1 + 2
f (x ) = 4x + 3
Hence, the function after translation 2 units is f (x) = 4x + 3
Initial estimates of the probabilities of events are known as _____ probabilities.
Initial estimates of the probabilities of events are known as Prior Probabilities.
Prior Probabilities can be defined as the probability of the event before the event takes place.
For Example ,Let there be three wells X,Y,Z with water in it . it is given that one of the wells have the water that is fit for drinking. So the prior probability that Well Z can have drinking water is 1/3 i.e. 0.333 .
Therefore , the Initial estimates of the probabilities of events are known as Prior Probabilities.
Learn more about Probability here https://brainly.com/question/16860194
#SPJ4
Find x and y pleaseee
Answer:
x = 23 y = 42
Step-by-step explanation:
y + 54 + 4x - 8 = 180
y + 4x = 180 - 46
y + 4x = 134
180 - (5x - 19) = 4x - 8
180 - 5x + 19 = 4x - 8
180 + 19 + 8 = 4x + 5x
207 = 9x
207/9 = x
x = 23
y + 4(23) = 134
y = 134 - 92
y = 42
Solve the equation 29 = v + 23 for v.
Answer:
6
Step-by-step explanation:
Solving steps
29v+23
Move the terms
- v =23 -29
Calculate
-V=-6
Change the signs
Solution
V = 6
Answer: 6
Step-by-step explanation: the guy above me has the best expanation
Solve the equation t − 3 = 17 for t.
Answer:
t = 20
Step-by-step explanation:
add 3 to both sides to isolate t:
t = 17 + 3
t = 20
Answer: t= 20
Step-by-step explanation:
Question 10
Divide £64 in the ratio 3:5
Answer:
24:40
Step-by-step explanation:
3:5
This means there are 8 divisions altogether - 8 parts to be split (3+5=8)
64 / 8 = 8
8x3 = 24
8x5 = 40
£24:£40
Hope this makes sense!
Determine the solutions of the equation:
Absolute value of the quantity one fifth times x plus 2 end quantity minus 6 equals two.
x = −50 and x = 30
x = −30 and x = 50
x = −20 and x = 50
x = 30 and x = 10
Answer:
x = -50 and x = 30
Step-by-step explanation:
Given equation:
[tex]\left|\dfrac{1}{5}x+2\right|-6=2[/tex]
To solve an equation containing an absolute value, isolate the absolute value on one side of the equation:
[tex]\implies \left|\dfrac{1}{5}x+2\right|-6+6=2+6[/tex]
[tex]\implies \left|\dfrac{1}{5}x+2\right|=8[/tex]
Set the contents of the absolute value equal to both the negative and positive value of the number on the other side of the equation, then solve both equations:
Equation 1 (negative value)
[tex]\begin{aligned} &\textsf{Given}: &\dfrac{1}{5}x+2&=-8\\ &\textsf{Subtract 2 from both sides}: \quad & \dfrac{1}{5}x+2-2&=-8 -2\\&\textsf{Simplify}:&\dfrac{1}{5}x&=-10\\ &\textsf{Mulitply both sides by 5}: &5 \cdot \dfrac{1}{5}x&=5 \cdot-10\\&\textsf{Solution}:& x & = -50\end{aligned}[/tex]
Equation 2 (positive value)
[tex]\begin{aligned} &\textsf{Given}: &\dfrac{1}{5}x+2&=8\\ &\textsf{Subtract 2 from both sides}: \quad &\dfrac{1}{5}x+2-2&=8 -2\\&\textsf{Simplify}:&\dfrac{1}{5}x&=6\\ &\textsf{Mulitply both sides by 5}:&5 \cdot \dfrac{1}{5}x&=5 \cdot6\\ &\textsf{Solution}:&x & = 30\end{aligned}[/tex]
Solutions
Therefore, the solutions are: x = -50 and x = 30.
In the student council election, 217 students vote. Uma receives 4 votes for every 3 that Paloma Receives. How many more votes does Uma receive than Paloma?
In probability 31, more votes does Uma receive than Paloma .
In statistics, what does a probability mean?
The likelihood that an event will occur in a Random Experiment is measured by probability. A number between 0 and 1 is used to quantify probability, where, broadly speaking, 0 denotes impossibility and 1 denotes certainty. The likelihood that an event will occur increases with its probability.let uma u and paloma p votes
Uma = 4/7 = u/217
4 × 217 / 7 = u
u = 124
paloma = 3/7 = p/217
3 × 217 /7 = p
p = 93
Learn more about probability
brainly.com/question/11234923
#SPJ9
find the product of 12 0.6 and 6 1/4
A business has a budget of $480 to spend on their marketing campaign. Each month, x, the business spends $30 on different advertisements. The amount of money remaining in the budget for marketing can be modeled by the function M(x) = −30x + 480. Based on the graph of the linear function M(x) and the context of the problem, what is the domain?
[0, ∞)
[0, 16)
[0, 480]
ℝ
This shows that a reasonable domain for this function is [0, 16)
Domain of a functionThe domain of a function is a value of the independent variable of the function for which it exists.
Given the equation below:
M(x) = −30x + 480
Since the function represents the The amount of money remaining in the budget for marketing then the function f(x) must be greater than zero;
−30x + 480 > 0
-30x> -480
x < 480/30
x < 16
This shows that a reasonable domain for this function is [0, 16)
Learn more on domain of a function here: https://brainly.com/question/26098895
#SPJ1
7. On a recent math test, the boys averaged
81 and the girls averaged 90. If there are twice
as many boys in the class as girls, what was
the overall average for the class?
Plot the y intercept of y=3/2 x-2
Answer:
(0,-2)
Step-by-step explanation:
That point is the y intercept. (4/3,0) would be the x.
Which decimals are equivalent to 5x10 + 2x1/100
Answer:
50.2
Step-by-step explanation:
what is r-0.2r when r equals the regular price of a cd player, which is equalivent to this expression.
(please answer step by step)
0.1r
0.8r
0.9r
1.2r
please
help
Answer:
0.8r
Step-by-step explanation:
r - 0.2r = 1r - 0.2r = (1 - 0.2)r = 0.8r
Answer:
0.8r
Step-by-step ex
took test
How many solutions does this equation have?
3b + 4 = 10 + 3b
Answer:
None
Step-by-step explanation:
[tex]3b+4-3b=10+3b-3b\\4=10\\\sf Sides\:unbalanced.[/tex]
What does heuristic mean?
1) a randomly generated number
2) a function in excel
3) rule of thumb
4) an equation
Answer:
3.) rule of thumb
Step-by-step explanation:
Solve the inequality 5x + 3 ≥ 48
Answer: x[tex]\geq[/tex]9
Step-by-step explanation:
5x+3 [tex]\geq[/tex] 48
5x[tex]\geq[/tex]45
x[tex]\geq[/tex]9
Treat inequalities like normal equations. Only when the right side of the equation is introduced to a negative sign via multiplication or division should you flip the inequality sign
Hope this helps!
A new yo-yo factory is operating at 80 percent
of capacity and produces 4,000 yo-yos daily.
when the factory reaches 100 percent of
capacity, how many yo-yos should be
produced each day?
a.
800
b. 3,200
c. 4,800
d. 5,000
e. 7,200
simplify 2cos3xsin3x
step by step pls
After simplifying the trigonometric expression 2 cos (3 x) sin (3 x), we get the value as sin (6 x).
We are given the expression as:
2 cos (3 x) sin (3 x)
Now, we know the trigonometric identity as:
2 sin θ cos θ = 2 sin (2 θ)
Using this identity in the expression where θ = 3 x, we get that:
2 cos (3 x) sin (3 x) = sin ( 2 × 3 x) ( value of θ substituted in the expression)
2 cos (3 x) sin (3 x) = sin (6 x)
Therefore, after simplifying the trigonometric expression 2 cos (3 x) sin (3 x), we get the value as sin (6 x).
Learn more about trigonometry here:
https://brainly.com/question/24349828
#SPJ9
a 65g book is 15cm x 5cm x 3c. Find the density
PLEASE HELP
Answer:
Density=13g/45cm cubed
Step-by-step explanation:
D=M/V
D=65g/225cmcubed
D=13g/45cm cubed
If angle 1 and angle 2 form a linear pair and angle 1 is x and angle 2 is 5x - 18, find the measure of angle 1
Apply the definition of linear pair, the measure of angle 1 is calculated as: 33°.
What are Linear Pair Angles?If two angles are a linear pair, then, the sum of their angle measures equal 180 degrees.
We are given that angle 1 and angle 2 are a linear pair. This means that:
Measure of angle 1 + measure of angle 2 = 180
Measure of angle 1 = x
Measure of angle 2 = 5x - 18
Substitute
x + 5x - 18 = 180
6x - 18 = 180
6x = 180 + 18
6x = 198
6x/6 = 198/6
x = 33
Measure of angle 1 = x = 33°.
Learn more about the linear pair on:
https://brainly.com/question/13218054
#SPJ1
Parallelogram WXYZ is shown on the coordinate plane.
Parallelogram W’X’Y’Z’ (not shown) is the reflection of parallelogram WXYZ across the y-axis. Which statement is true?
W'X' is parallel to W'Z'
W'X' is parallel to Z'Y'
W'X' is perpendicular to W'Z'
W'X' is perpendicular to Z'Y'
The reflection transformation of the given diagram means that; W' X' is parallel to Z' Y'
How to Interpret Transformation Reflection?
Reflection over y-axis is a reflection or flip over the y-axis where the y-axis is the line of reflection used. The formula for this is: (x,y) →(−x,y) ( x , y ) → ( − x , y ) .
To reflect an equation over the y-axis, simply multiply the input variable by -1: y=f(x)→y=f(−x) y = f ( x ) → y = f ( − x )
Thus, looking at the given image and applying the transformation rule above, we can say that the reflection of parallelogram WXYZ across the y-axis would mean that W' X' is parallel to Z' Y'
Read more about Transformation Reflection at; https://brainly.com/question/1908648
#SPJ1
What is the polynomial regression?
In order to transform linear regression into polynomial regression, certain polynomial terms are added to it due to the non-linear relationship between the dependent and independent variables.
Let's say we have independent data X and dependent data Y. In the preprocessing stage, we turn the input variables into polynomial terms to some extent before feeding the data to a mode.
As a specific example of multiple linear regression, polynomial regression is a type of linear regression that estimates the connection as an nth degree polynomial. The performance can also be negatively impacted by the existence of one or two outliers since Polynomial Regression is sensitive to outliers.
The connection between the dependent and independent variables is best approximated by polynomial. It may be used for a wide range of functions. In general, polynomial suits a large range of curvature.
To learn more about this visit, polynomial regression https://brainly.com/question/16277556
#SPJ9
Petrina had a piece of red ribbon that measured 2.4 m long. she also had a piece of blue ribbon which was 7 8 m long. what was the total length of both ribbons? round your answer to 2 decimal places.
The total length of red and blue ribbons is 10.2 m.
Given that, the length of the red ribbon =2.4 m and the length of the blue ribbon =7.8 m.
How to add two decimals?Adding decimals is similar to the usual addition of whole numbers. We know that a decimal number is a number with a whole number part and a fractional part which is separated by a decimal point.
Now, the length of the red ribbon + the length of the blue ribbon=2.4+7.8
=10.2 m
Therefore, the total length of red and blue ribbons is 10.2 m.
To learn more about the addition of decimals visit:
https://brainly.com/question/17612968.
#SPJ4
Which of the following is a trinomial with a constant term?
O A. yo +8y³ +GAY
OB. X
OC. x³ + y
OD. x+ 2y + 10
Option D x+2y+10 .
A trinomial with a constant term will have three terms, and one of those terms will be a constant, which is a number.
we also know about the Constant
A fixed value. In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number.
Some relatable terms are :
Monomial: Polynomial having a single term.
Binomial: Polynomial having two terms.
Trinomial: Polynomial having three terms.
In given option we'll define
in option A there is no constant .
option B there i sonly given x which is also not constant.
further in option c it is simply binomial in which only two terms are given without constant .
so at last conclusion is in option D there are three terms are given with one constant which is number 10 .
x+2y+10 is trinomial with a constant.
For more information about Polynomial
visit brainly.in/question/3793499
#SPJ9
Use the diagram to the right to complete the statement.
Answer:
∠ GOF = 53°
Step-by-step explanation:
∠ LON and ∠ GOF are vertically opposite angles and are congruent, then
∠ GOF = 53°
6. The formula for the perimeter of a
rectangle is P = 2L + 2W.
a. Solve the equation for W.
b. Using your equation in a, find the width of a
rectangle that has a perimeter of 244 inches
and a length of 59 inches.
Step-by-step explanation:
work is shown and pictured
The school finance committee has determined that a $28,000 facilities upgrade will be needed in 12 years. an alumnus has donated $20,000. if invested, will it grow to be enough?
Answer:
Step-by-step explanation:
QWEQEQWEQEQEQEQ
The shape below is made of two rectangles joined together.
3 cm
4 cm
6 cm
6 cm
15 cm
Find the total area of the shape.
Optional working
Answer:
+
cm²
The total area of the shape is 102 cm².
Given that, two rectangles with dimensions L1=15 cm, B1=6 cm, L2=4 cm and B2=3 cm.
What is the area of the rectangle?The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimetres, square inches, square feet, etc.) The area of a rectangle is the number of unit squares that can fit into a rectangle.
We know that, the area of a rectangle = Length × Breadth.
So, the area of rectangle1 = 15 × 6 = 90 cm²
The area of rectangle2 = 4 × 3 = 12 cm²
Total area = 90+12 =102 cm²
Therefore, the total area of the shape is 102 cm².
To learn more about the area of a rectangle visit:
https://brainly.com/question/20693059.
SPJ1
Hey i needed help with this scale factor
Evaluate the function.
ƒ(x) = −3x² + 10x + 13
Find f(-1)
Answer:
find the inverse of the following function. The Domain and Range of inverse
a) f(×)=× b) f(×)=׳-4
