A graph of the given function (f(x) = 2√x + 3) has been plotted on a coordinate plane as shown in the image attached below.
What is a function?In Mathematics, a function simply refers to a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair (x, y)on a graph.
What is a graph?In Mathematics, a graph is a type of chart that is typically used for the graphical representation of data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate (x-axis) and y-coordinate (y-axis).
Note: You can use an online graphing calculator to plot this function.
By critically observing the graph of this function (see attachment), we can reasonably infer and logically deduce that the function (f(x) = 2√x + 3) increases to the right and only in the positive direction of the cartesian coordinate.
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WILL GIVE 30 POINTS
4. For the graph of the equation you
wrote in Item 3, what does the
y-intercept represent?
А hours left to complete
B В total hours of service
с
D
hours completed each day
days it takes to complete
30 hours
Answer:
i have no idEa
Step-by-step explanation:
URGENT PLS HELP!! Will give brainiest :)
PLS I NEED HELP QUICK... what is the sum of the measures of the exterior angles of a 15-gon
Answer:
360 degrees
Step-by-step explanation:
all shapes angles add to 360
I NEED HELP ON THIS ASAP!!!!!!!
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.
What does a calculus domain mean?The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.
How to Determine a Function's Range?Think about the function y = f. (x). The range of the function is the range of all the y values, from least to maximum. Substitute all possible values of x into the provided expression of y to see whether it is positive, negative, or equal to other values.
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Find all missing angles?
PLEASE HELP
What scale factor was applied to the first rectangle to get the resulting image?
Enter your answer as a decimal in the box.
first square is 3 then turns to 7.5
Question 3 options:
22.5
-2.5
4.5
2.5
Answer:
2.5 betul tak........
Step-by-step explanation:
i/o
Write in the line in slope-intercept form given the slope of 1/3, through the point (-6,9)
Answer:
y = ¹/₃x + 11Step-by-step explanation:
A line passing through point (x₁, y₁) with the slope of m in point-slope form:
y - y₁ = m(x - x₁)
m = ¹/₃
(-6, 9) x₁ = -6, y₁ = 9
So:
y - 9 = ¹/₃(x - (-6))
y - 9 = ¹/₃(x + 6) ← point-slope form
y - 9 = ¹/₃x + 2 {add 9 to both sides}
y = ¹/₃x + 11 ← slope intercept form
ugent plz do not jus tsasy search on google I've tried if you could do it tell me the link or do it thank you
Answer:
If you look at my comments i went through all of them and found out that (A7, B4) do NOT go together!
Step-by-step explanation:
I hope this helped
I need help with this question
Answer:
Its B
Step-by-step explanation:
you have to subtract 320-70 to get 250. If you didn't you be able to divide 5 cleanly
2e - 3f = 4
2e - 5f = 8
solve this linear equation by the elimination method
please show your working ✨✨THANK YOU
Answer:
The value of e is -1 and f is -2.
Step-by-step explanation:
The steps are :
\(2e - 3f = 4 - - - (1)\)
\(2e - 5f = 8 - - - (2)\)
\(2e - 3f - 2e - ( - 5f) = 4 - 8\)
\(2f = - 4\)
\(f = - 4 \div 2\)
\(f = - 2\)
\(substitute \: f = - 2 \: into \: (1)\)
\(2e - 3( - 2) = 4\)
\(2e + 6 = 4\)
\(2e = 4 - 6\)
\(2e = - 2\)
\(e = - 2 \div 2\)
\(e = - 1\)
To solve this system of equations by addition, our first goal is to cancel
out one of the variables by adding the two equations together.
However, before we add, we need to cancel out a variable.
I would choose to cancel out the e's.
To do this, we need a 2e and a -2e and
here we have a 2e in both equations.
If we multiply the second equation by -1 however,
that will give us the -2e we are looking for.
So we have (-1)(2e - 3f) = (4)(-1).
So rewriting both equations, our first equation stays the same
but our second equation becomes -2e + 3f = -4.
Notice that every term in the second
equation has been multiplied by -1.
2e - 3f = 4
-2e + 5f = -8
Now when we add the equations together,
the e's cancel and we have 2f = -4 so f = -2.
To find e, plug -2 back in for f in the
first equation to get 2e - 3(-2) = 4.
Solving from here, e = -1.
Note that e comes before f in our final answer, (-1, -2).
To determine which variable should go first
in your answer, use alphabetical order.
Find (3x+5)+(2x-25)=180⁰
Answer:
x=40
Step-by-step explanation:
Find the absolute maximum and absolute minimum values of f on the given interval. Give exact answers using radicals, as necessary. f(t) = t − 3 t , [−1, 5]
The absolute maximum value of the function f(t) is 2 and the absolute minimum value of the function f(t) is -10 at t = -1 and t = 5 respectively.
Given function: The given capability can be communicated as: f(t) = t 3t, [1, 5]. f(t) = t (1 - 3) = - 2tWe must determine the given capability's greatest and absolute smallest benefits. To determine the maximum and minimum values of the given function, the following steps must be taken: Step 1: Step 2: Within the allotted time, identify the function's critical numbers or points. Step 3: At the critical numbers and the ends of the interval, evaluate the function. To decide the capability's outright most extreme and outright least qualities inside the given interval1, analyze these numbers. Assuming we partition f(t) by t, we get f′(t) = - 2.
The basic focuses are those places where the subsidiary is either unclear or equivalent to nothing. Because the subordinate is characterized throughout the situation, there are no fundamental focuses within the allotted time.2. How about we find the worth of the capability toward the finish of the span, which is f(- 1) and f(5): f(-1) = -2(-1) = 2f(5) = -2(5) = -10. This implies that irrefutably the greatest worth of the capability f(t) is 2 and unquestionably the base worth of the capability f(t) is - 10 at t = - 1 and t = 5, individually. " The response that is required is "The absolute maximum value of the function f(t) is 2 and the absolute minimum value of the function f(t) is -10 at t = -1 and t = 5 respectively."
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Solve for x:
6x + 9 = 4x + 25
Answer:
x = 8
Step-by-step explanation:
Solve for x:
6 x + 9 = 4 x + 25
Subtract 4 x from both sides:
(6 x - 4 x) + 9 = (4 x - 4 x) + 25
6 x - 4 x = 2 x:
2 x + 9 = (4 x - 4 x) + 25
4 x - 4 x = 0:
2 x + 9 = 25
Subtract 9 from both sides:
2 x + (9 - 9) = 25 - 9
9 - 9 = 0:
2 x = 25 - 9
25 - 9 = 16:
2 x = 16
Divide both sides of 2 x = 16 by 2:
(2 x)/2 = 16/2
2/2 = 1:
x = 16/2
The gcd of 16 and 2 is 2, so 16/2 = (2×8)/(2×1) = 2/2×8 = 8:
Answer: x = 8
the issue of corporate tax reform has been cause for much debate in the united states. among those in the legislature, 28% are republicans, 50% are democrats and 22% are independents. it is reported that 34% of the republicans, 35% of the democrats and 31% of independents favor some type of corporate tax reform. suppose a member of congress is randomly selected and he/she is found to favor some type of corporate tax reform. what is the probability that this person is a democrat? round your answer to four decimal places. do not round intermediate value(s).
The probability that a randomly selected member of Congress who favours corporate tax reform is a Democrat is 0.4444, rounded to four decimal places.
To solve this problem, we can use Bayes' theorem. Let D represent the event that the selected member is a Democrat, and R represent the event that the selected member is a Republican, and I represent the event that the selected member is an Independent. Let F represent the event that the selected member favors some type of corporate tax reform. We are given the following probabilities:
P(R) = 0.28, P(D) = 0.50, P(I) = 0.22
P(F|R) = 0.34, P(F|D) = 0.35, P(F|I) = 0.31
We want to find P(D|F), the probability that the selected member is a Democrat given that they favor corporate tax reform. We can use Bayes' theorem:
P(D|F) = P(F|D)P(D) / [P(F|D)P(D) + P(F|R)P(R) + P(F|I)P(I)]
Plugging in the values we know, we get:
P(D|F) = 0.35 * 0.50 / [0.35 * 0.50 + 0.34 * 0.28 + 0.31 * 0.22]
P(D|F) = 0.4444 (rounded to four decimal places)
Therefore, the probability that the selected member is a Democrat given that they favour corporate tax reform is 0.4444.
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the salaries of pharmacy techs are normally distributed with a mean of $33,000 and a standard deviation of $4,000. what is the minimum salary to be considered the top 6%? round final answer to the nearest whole number.
The minimum salary to be considered in the top 6% of pharmacy tech salaries is $39,560, rounded to the nearest whole number.
The solution to this problem involves finding the z-score associated with the top 6% of salaries in the distribution and then using that z-score to find the corresponding raw score (salary) using the formula: raw score = z-score x standard deviation + mean.
To find the z-score, we use the standard normal distribution table or calculator.
The top 6% corresponds to a z-score of 1.64 (which represents the area to the right of the mean under the standard normal curve).
Next, we can plug in the values given in the problem into the formula:
raw score = z-score x standard deviation + mean
raw score = 1.64 x $4,000 + $33,000
raw score = $6,560 + $33,000
raw score = $39,560
Therefore, the minimum salary to be considered in the top 6% of pharmacy tech salaries is $39,560, rounded to the nearest whole number.
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Ben and Blake both love to collect baseball cards. The ratio of cards that Ben has compared to the number that Blake has is 2:3. If Blake buys 500 more cards, he will have 3800 cards. How many cards does Ben currently own?
Answer:
2200 baseball cards
Step-by-step explanation:
1.Give another name for the line r
2.Name the intersection of lines r and s
3. Name the three collinear points
4. Give another name for plane N
The solution to the line diagram are:
1) AB
2) Point B
3) A, B and C are the three collinear points
4) ABD
How to interpret the lines in the diagram?1) A line can be defined by two points that are connected by the given line.
We can see that the line r connects the points A and B, then we can call this line as:
AB (the notation usually uses a double arrow in top of the letters)
2) In the image we can see that lines r and s intersect at the point B, then another name for that intersection is: B.
3) 3 collinear points are 3 points that are connected by a single line, an example of this can be the points A, B and C.
4) A plane can be defined by a line and a point outside the line.
For example, we can choose the line AB and the point D, that does not belong to the line.
Then we can call the plane as ABD.
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I WILL GIVE
Create an equivalent expression for this
Answer: C
Step-by-step explanation:
Answer: I think the answer is A.
Step-by-step explanation:
The scatter plot shows the height of an alfalfa plant over a period of time. Click on the table that best matches the data in the scatter plot.
Based on the information provided, the table that best matches the data in the scatter plot is shown below.
What is a scatter plot?A scatter plot is a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.
Based on the information provided, the table that best matches the data in the scatter plot is given by:
Data 1 2 4 5.5 6.3
Height (cm) 1 2 3 4 5
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when comparing two sample means, we can safely reject the null hypothesis if ______.
When comparing two sample means, we can safely reject the null hypothesis if the calculated test statistic exceeds the critical value corresponding to the chosen significance level.
In hypothesis testing, when comparing two sample means, we typically perform a t-test or z-test depending on the characteristics of the data and assumptions. The null hypothesis assumes that there is no significant difference between the means of the two samples.
To determine whether we can reject the null hypothesis and conclude that there is a significant difference, we calculate a test statistic. The specific test statistic (t or z) depends on factors such as sample size and whether population parameters are known.
Next, we compare the calculated test statistic to the critical value. The critical value is determined based on the chosen significance level (commonly denoted as α). If the calculated test statistic exceeds the critical value, we reject the null hypothesis, indicating that there is evidence to support a significant difference between the two sample means.
The significance level determines the threshold for rejecting the null hypothesis and is typically set at 0.05 (5%) or lower, depending on the desired level of confidence.
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jeremy has 25 marbles, he gives 5 to his teacher, then he give five to his best friends. once he gets home he gives 5 to his sister right the terms in order to determine how many marbles he has
Answer: 25 - 15 = 10
Step-by-step explanation:
Tell whether the given function is even or odd. F(x)=x^2+2x-15
The function F(x) = x² + 2x - 15 is neither odd nor even.
What are even and odd functions?In even functions, we have that the statement f(x) = f(-x) is true for all values of x.In odd functions, we have that the statement f(-x) = -f(x) is true for all values of x.If none of the above statements are true for all values of x, the function is neither even nor odd.The function in this problem is defined as follows:
F(x) = x² + 2x - 15.
For F(-x), we have that:
F(-x) = (-x)² + 2(-x) - 15
F(-x) = x² - 2x - 15.
There is no relation between F(x) and F(-x), hence the function is neither even nor odd.
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If you have a mass of 55g that has a volume of 11 ml, what is the density?
Answer:
D=5g/ml
Step-by-step explanation:
D=M/V
D=55/11
6 less than a number is less than the quotient of the number and 3.
Answer:
x<9
Step-by-step explanation:
x-6<x/3
3(x-6)<x
3x-18<x
3x-x<18
2x<18
X<18/2
X<9
Use cylindrical coordinates Find the volume of the solid that is enclosed by the cone z = √x²+y² and the sphere x² + y² + z² = 18.
The volume of the solid that is enclosed by the cone z = √x²+y² and the sphere x² + y² + z² = 18 is : V ≈ 46.84645
We have to use the cylindrical coordinates.
and, find the volume of the solid that is enclosed by the cone z = √x²+y² and the sphere x² + y² + z² = 18.
Substituting one equation to the other we get,
x² + y² + x² + y² = 18
2x² + 2y² = 18
x² + y² = 9
Thus, the limits are the following:
\(0\leq \theta\leq 2\pi ,0\leq r\leq 3,r\leq z\leq \sqrt{18-r^2}\)
The volume of the region is,
\(V=\int\limits(0 to 2\pi )\int\limits(0 to 3)|z|^\sqrt{18-r^2}_r \, r dzdrd\theta\)
Integrate with respect to z
\(V=\int\limits(0 to 2\pi )\int\limits(0 to 3)(\sqrt{18-r^2}-r)\, rdrd\theta\)
Integrate with respect to r
\(V=\int\limits^2^\pi _0 \, [-\frac{1}{3}(18-r^2)^\frac{3}{2}-\frac{r^3}{3} ]^3_0 \, d\theta\)
\(V=\int\limits^2^\pi _0 \,(18\sqrt{2}-18 ) \, d\theta\)
Integrate with respect to \(\theta\)
\(V=(18\sqrt{2}-18 )[\theta]^2^\pi _0\)
V ≈ 46.84645
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Fill in the blank with the correct term or number to complete the sentence.
A _____ expression like (3+5) x (4-1) is a combination of numbers and at least one operation
An algebraic expression like (3+5) x (4-1) is a combination of numbers and at least one operation.
The mean mass of five men is 76 kg. The masses of four of the men are 72 kg, 74 kg, 75 kg and 81 kg. What is the mass of the fifth man
Answer:
78kg
Step-by-step explanation:
76×5= 380kg
380-72-74-75-81= 78kg
1/2x12divided by 2-2 +11= what?
Answer:
The answer is 12
Step-by-step explanation:
1/2x 12 = 6
6/2-2+11 = 12
The final answer is 12
Name the triangle with the following charcteristics. sides: 5cm, 6 cm, 7cm; Angles: 75°, 60°, and 45° A. Obtuse scalene triangle B. Acute isosceles triangle C. Acute scalene triangle D. Right isosceles triangle
Answer:
C. Acute scalene triangle
sides 5; 6; 7; - NO sides equal
all 3 angles are less than 90 degrees - they are ALL acute
Step-by-step explanation:
Answer:
2 3 6 yw
Step-by-step explanation:
Simplify ((sin x + tan x) ^ 2 + cos^2 x - sec^2 x)/(tan x)
I know the answer is 2sin(x) but I need the work for the problem
Expand the numerator:
(sin(x) + tan(x))² + cos²(x) - sec²(x)
= sin²(x) + 2 sin(x) tan(x) + tan²(x) + cos²(x) - sec²(x)
Recall the Pythagorean identity:
cos²(x) + sin²(x) = 1
Multiplying both sides by 1/cos²(x) gives an equivalent form,
1 + tan²(x) = sec²(x)
so that
tan²(x) - sec²(x) = -1
Then we have
(sin(x) + tan(x))² + cos²(x) - sec²(x)
= 1 + (-1) + 2 sin(x) tan(x)
= 2 sin(x) tan(x)
and so
((sin(x) + tan(x))² + cos²(x) - sec²(x))/tan(x)
= (2 sin(x) tan(x))/tan(x)
= 2 sin(x)