The solution to the equation 5x - 4 = 2x + 20 is x = 8 which can be determined by simplification process.
To solve for x in the equation 5x - 4 = 2x + 20, we can follow these steps:
Start by isolating the x terms on one side of the equation. We can do this by subtracting 2x from both sides:
(5x - 2x) - 4 = (2x - 2x) + 20]
Simplifying:
3x - 4 = 20
Next, isolate the constant term on the opposite side of the equation by adding 4 to both sides:
(3x - 4) + 4 = 20 + 4
Simplifying:
3x = 24
Finally, solve for x by dividing both sides of the equation by 3:
(3x)/3 = 24/3
Simplifying:
x = 8
Therefore, the solution to the equation 5x - 4 = 2x + 20 is x = 8.
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Full Question-
Solve for x in the given equation 5x-4 = 2x+20
i have been struggling with this question for 30mins. if you answer it can you please show work? thank you
Answer:
a)22
Step-by-step explanation:
The stem-and-leaf plot shows the distances, in miles, that a group of owners of new cars drove one weekend.
How many of the owners drove between 50 and 65 miles?
Describe how the graph of the parent function y = StartRoot x EndRoot is transformed when graphing y = negative 3 StartRoot x minus 6 EndRoot
The graph is translated 6 units
Answer: is b- right
Step-by-step explanation:
We want to see how the graph of the parent function compares to the graph of the transformed function.
The transformed function is a reflection across the x-axis, followed by a translation of 6 units to the right, followed by a vertical dilation of scale factor 3 of the parent function.
The parent function is y = √x
The transformed function is y = -3*√(x - 6)
So there are 3 transformations applied to the parent function, let's describe these generally.
Reflection across the x-axis:
For a function f(x), a reflection across the x-axis just changes the sign:
g(x) = -f(x).
Horizontal shift:
For a function f(x), a horizontal shift of N units is written as:
g(x) = f(x + N)
if N is positive, the shift if to the left.if N is negative, the shift is to the right.Vertical dilation:
For a function f(x), a vertical dilation of scale factor K is written as:
g(x) = K*f(x)
Then from the parent function to the transformed function, we have:
A reflection across the x-axis, followed by a translation of 6 units to the right, followed by a vertical dilation of scale factor 3.
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Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 3x^4 − 4x^3 − 12x^2 + 1, [−2, 3]
Find the stationary points.
f(x) = 3x ⁴ - 4x ³ - 12x ² + 1
f '(x) = 12x ³ - 12 x ² - 24x
Solve f '(x) = 0.
12x ³ - 12 x ² - 24x = 12x (x ² + x - 2) = 12x (x - 1) (x + 2) = 0
→ x = 0, x = 1, x = -2
Check the value of f at the stationary points.
f (0) = 1
f (1) = -12
f (-2) = 33
Check the value of f at the boundary of the domain.
f (3) = 28
(We've already checked f (-2).)
Then over [-2, 3], we have max(f ) = 33 and min(f ) = -12.
Which statement best describes the values of x and y in the table?
An international organization is investigating the relationship between the life expectancies of men and women in nonindustrialized countries. A random sample of such countries was selected, and life expectancies, in years, were determined for both men and women. A check of the conditions necessary for inference on the slope of a regression line shows that they are met. A 98 percent confidence interval for the slope of the regression line relating life expectancy for men, x, and women, y, is given by (1.01, 1.34). Based on the interval, which of the following claims is supported?
A Since the interval does not contain 0, it can be concluded that there is no linear relationship between the life expectancies of men and women in nonindustrialized countries.
B Since the interval does not contain 1, it can be concluded that there is no linear relationship between the life expectancies of men and women in nonindustrialized countries.
Ğ¡ Since the values in the interval are greater than 0, it can be concluded that the life expectancies of women are greater than the life expectancies of men in nonindustrialized countries.
D Since the values in the interval are positive, it can be concluded that there is an increase, on average, in the life expectancies of women for each 1-year increase in the life expectancy of men in nonindustrialized countries.
E Since the values in the interval are positive, it can be concluded that there is a decrease, on average, in the life expectancies of women for each 1-year increase in the life expectancy of men in nonindustrialized countries.
Answer:
D
Step-by-step explanation:
From the given information:
At the confidence interval of 0.98 for the slope of the regression; the expectancy of life for men and women appears to be positive. This clearly implies that there are sufficient evidence and information that the two variables is positively correlated. As a result, if the expectancy of life for men increases, the same will also increase for women.
The values of interval are positive thus it can be said that there is an increase on average life expectancy. Thus the option D is correct.
What is life expectancy ?The life expectancy is the statically measure of the average organism expected to live. The life expectancy is based on the birth rate.
As the C.I is of 0.98 the slope of the regression that is expectancy of the life for the men and the women appears positive.
Thus its clearly that the two variables is positively correlated. Hence, the expectancy for for men increases the same will be for women.
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Simplify: 14y+13x+12y÷19x+4
Answer:
13x+14y+12y/19x+4
Step-by-step explanation:
calculate the actual sales since the sales tax were rung up together. assume sales tax of 6% and total sales of $27,000. What is the actual sales? ( round your answer to the nearest cent.)
Answer:
$25471.7
Step-by-step explanation:
1.06*25471.7=27000.002
Hope this helps
An ecologist is examining whether the number of fish caught in a large river basin has changed since a fire burned some of the surrounding forested area and vegetation along the river. Data in the form of fishing reports was available for a five-year period before the fire. From a random sample of 195 fishing reports before the fire, the mean catch was 6.3 fish with a standard deviation of 1.6. In a random sample of 143 reports three years after the fire, the mean catch was 7.1 fish with a standard deviation of 2.1.
Required:
What represents the standard error of the difference in the mean number of fish caught before and after the fire?
Answer:
The standard error of the difference in the mean number of fish caught before and after the fire is 0.2153.
Step-by-step explanation:
Subtraction of normal variables:
When we subtract two normal variables, the standard deviation is the square root of the sum of variances of each variable.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Sample of 195 fishing reports before the fire, the mean catch was 6.3 fish with a standard deviation of 1.6.
The standard error for this sample is:
[tex]s_b = \frac{1.6}{\sqrt{195}} = 0.1246[/tex]
Sample of 143 reports three years after the fire, the mean catch was 7.1 fish with a standard deviation of 2.1.
The standard deviation for this sample is:
[tex]s_a = \frac{2.1}{\sqrt{143}} = 0.1756[/tex]
What represents the standard error of the difference in the mean number of fish caught before and after the fire?
[tex]s = \sqrt{s_a^2 + s_b^2} = \sqrt{0.1756^2 + 0.1246^2} = 0.2153[/tex]
The standard error of the difference in the mean number of fish caught before and after the fire is 0.2153.
Answer:
sqrt [ (1.6^2)/195 + (2.1^2)/143 ]
The graph of g(x) = log(4x) has -
A two x-intercepts and no y-intercept
B one x-intercept and one y-intercept
C no x-intercept or no-y-intercept
D one x-intercept and no y-intercept
I’ll give points and brainalist for correct answer / explanation
Answer:
i think you forgot to attach the image lol
Step-by-step explanation:
PLEASE HELP ME!!! PLEASE
Answer:
it should be (8,-7)
Step-by-step explanation:
Write a polynomial that represents the area of the large rectangle with side lengths of x+4 and x+3
Answer:
Step-by-step explanation:
First off use algebra tiles, Didax has a good one. So basically x*x is x^2 right? and 4*3 is 12 right? also 4x+3x=7x. So the answer is x^2+7x+12! :)
LOOK AT THE PICTURE!!
Answer:
it is data
Step-by-step explanation:
just look at it and describe its properties
Bye,
Canus Lupus
3+4-8+9-8+78+99-7999+8799+0×6997+90÷797883+677_5=
divide the 240g into the ratio 5:3:4?
5x+ 3x +4x =12x
12x =240
X=20
100:60:80
What is the probability that Mary will get an "11"?
Answer:
yeaa what
Step-by-step explanation:
Which expression is equivalent to (4 1/3)
Answer:
B
Step-by-step explanation:
The width of a rectangle is represented by 5 - 2y.
The length is twice as long as the width What is the
perimeter of the rectangle? Select all correct expressions
A45-27
3 65 - 27
C20 -
D30 - 12
Answer:
Perimeter of rectangle = 30 - 12y
Step-by-step explanation:
Given:
Width of rectangle = 5 - 2y
Length of rectangle = 2(width) = 2[5 - 2y] = 10 - 4y
Find:
Perimeter of rectangle
Computation:
Perimeter of rectangle = 2[l + b]
Perimeter of rectangle = 2 [10 - 4y + 5 - 2y]
Perimeter of rectangle = 2[15 - 6y]
Perimeter of rectangle = 30 - 12y
e)
2 Before you calculate these answers, first estimate the
a) 30 870 ÷49
b) 221 340 ÷17
c) 100 719÷ 279
d) 75 640 ÷310
Step-by-step explanation:
1.) 630
2.) 13020
3.) 361
4.) 244
Pls help me
10 12 15 str 220 pls help me
Answer:
which language I cant understand
PLEASE ANSWER ASAP! Triangle ABC has side lengths 8 cm, 17 cm, and x cm. The side length of x is shorter than the longest side. What does the value of x need to be in order for the triangle to be considered a right triangle?
A. 4 cm
B. 9 cm
C. 15 cm
D. 12 cm
What is the lateral surface area of this net
Help!!!
9514 1404 393
Answer:
720 square feet
Step-by-step explanation:
The lateral area is the area of the central rectangle of the net. It is 12+12+12 = 36 feet long and 20 ft wide.
The lateral area is (36 ft)(20 ft) = 720 ft².
which of the following rotational symmetry is applied to the regular not
9514 1404 393
Answer:
yesyesStep-by-step explanation:
A regular nonagon has vertices that are 360°/9 = 40° apart. Any rotation by a multiple of 40° will make the figure indistinguishable from the original.
Rotational symmetry of 40° applies.
Rotational symmetry of 200° applies.
write the equation of the given line in slope intercept form (2,3) (8,6)
Answer:
y = 1/2x + 2
Step-by-step explanation:
slope:
6 - 3 / 8 - 2 = 3 / 6 = 1/2
start by putting it in point slope form and then simplify it to slope intercept form:
y - 3 = 1/2(x - 2)
y - 3 = 1/2x - 1
y = 1/2x + 2
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Jonathan sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
140 visitors purchased no costume.
166 visitors purchased exactly one costume.
32 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase one or more costumes as a percent to the nearest whole number.
Answer: it should be A/1
The following data will be used to construct a box plot. What will be the value of the median? 2, 5, 10, 11, 12, 15, 21, 32, 32, 46
Identify the vertex and the y-intercept of the graph translated 1 unit right from the parent function f(x)=x2
Vertex ( ?,?)
y-intercept: ?
Answer:
Step-by-step explanation:
y = (x-1)²
vertex (1,0)
y-intercept = (0-1)² = 1
In the similarly transformations of ABC
The vertices of APQR are P(-3, 8) Q(-6,-4), and R(1, 1). If you reflect APQR across the x-axis, what will be the coordinates of the vertices of the image AP'Q'R'?
Answer:(-3,-8),(-6,4),(1,-1)
Step-by-step explanation:
Given
Vertices of the triangle are
[tex]P(-3,8), Q(-6,-4),R(1,1)[/tex]
Coordinates (a,b) when reflected about x-axis is given as (a,-b) i.e. Y coordinate changes its sign
[tex]\therefore P\rightarrow P'(-3,-8)\\\Rightarrow Q\rightarrow Q'(-6,4)\\\Rightarrow R\rightarrow R'(1,-1)[/tex]