Given the following piecewise function, evaluate ƒ(–2).
f(x) =
50+4 r
3x+3 x
2
2
Answers
Answer:
2
Step-by-step explanation:
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Question 6 of 10
What is the solution to the system of equations graphed below?
y = -2x + 4
y=x-5
Answers
Answer:
the solution to the system of equations is (x, y) = (3, -2).
Step-by-step explanation:
y = -2x + 4 (Equation 1)
y = x - 5 (Equation 2)
To solve for x, we can equate the right sides of the equations:
-2x + 4 = x - 5
Now, we can solve for x:
-2x - x = -5 - 4
-3x = -9
x = (-9) / (-3)
x = 3
Substituting the value of x back into Equation 2, we can solve for y:
y = 3 - 5
y = -2
Thirty of the 198 students enrolled in Statistics 101 were asked if they wanted Exam II to be atake-home or an in-class assessment. Twenty, or about 67%, of the students polled indicated apreference for an in-class exam. The professor concluded that the majority of the students inthesamplewould prefer an in-class examination for the second assessment. Did the professorperforma descriptive study or an inferential study?
Answers
Answer:
Inferential study
Step-by-step explanation:
From the question, we understand that the professor concluded that majority of the class (of 198 students) preferred in class assessment based on the response from 67% of the sample size (i.e 30 students)
When decisions or conclusions are made about an overall population based on a survey carried out on a smaller sample, such study is referred to as an inferential study or inferential research.
Descriptive study on the other hand focuses on the features rather than the result of the experiment of the dataset.
Part A: How many positive integers are there between 42 and 97 inclusive? I do not understand how the formula works! Part B: There is a line whose length is 200 feet. If points are placed every 2 feet starting from one end, how many points are on the line?
Answers
Answer:
Step-by-step explanation:
To find the answer to Part A we can do (97 - 42) + 1 = 56. The reason we do + 1 is because 97 - 42 is just counting the numbers in between 42 and 97 but it leaves out 42 and since it's inclusive we need to include 42.
Part B: We can do (200 / 2) - 1 = 99. The reason we do - 1 is because 200 / 2 includes the endpoint of the line but since we don't want to include the endpoint of the line we do - 1.
Answer:
Part A = 56 Integers
Part B = 99 Points
Step-by-step explanation:
Part A ~ Since it's inclusive, at the end we must put n + 1 -->
97 - 42 = 55 => 55 = n => 56 Integers
Part B ~ n - 1 Since it is exclusive. so, =>
200/2 = 100, 100 = n (n-1) => 99 Points
Hope this helps!
X+9=2x solve for X.
Answers
Answer:
X+9=2X
Step-by-step explanation:
the answer is X=9
I really need help on this FAST please help me with this!!!! I will give lots of points
Answers
Answer:
71 degrees.
Step-by-step explanation:
m < CED = 180 - 152 = 28 degrees ( adjacent angles).
m <BAC = 28 degrees( alternate angles).
m < ACD = 28 + 43 = 71 degrees (external angle theorem).
what are you guys studying?
Answers
Answer:
im study about history it was my favourite subject!
We test if a and b are equal or not. Which one is not an appropriate way?
(a) If a and b are both 0, then a = b.
(b) If ab not equal to 0 and a − b = 0, then they are the same.
(c) If ab not equal to 0 and a/b = 1, then they are the same.
(d) It is convenient to unify the units of the two physical quantities before the comparison.
Answers
option (c) is not an appropriate way to test if a and b are equal or not.
Why it is?
All the options given appear to be appropriate ways to test whether a and b are equal or not, except option (c) - "If ab not equal to 0 and a/b = 1, then they are the same."
While it is true that if a and b are equal, then a/b would be equal to 1, the converse is not true. If a/b is equal to 1, it only tells us that a and b have the same value, but it does not tell us whether they are equal or not.
For example, if a = 2 and b = 2/3, then a/b = 3, which is equal to 1, but a and b are not equal.
Therefore, option (c) is not an appropriate way to test if a and b are equal or not.
Comparison in math is the process of comparing two or more quantities to determine whether they are equal, greater than, or less than each other. This is usually done by using comparison symbols, such as "=", "<", and ">".
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A factory made 3 jars of creamy peanut butter and 97 jars of chunky peanut butter. What percentage of the jars of peanut butter were creamy?
Answers
Answer:
3%
Step-by-step explanation:
They made 97+3 total jars, 3 out of 100 is 3 percent.
kjsdfjyrbasdhviurhasiudhvr = ?
Answers
Answer: option A/ eibfjed
Urgent!! Math help!! What’s the answer?
Answers
Answer:
Shift cos 0.9272
Gives 21.99 degrees near to 22
What is nine more than a number y, if that number is 4?
Answers
Answer:
13
Step-by-step explanation:
if y = 4, then 4 + 9 = 13
Answer:
\(\huge\boxed{13}\)
Step-by-step explanation:
The given condition is:
=> y + 9
Given that y = 4
=> 4 + 9
=> 13
find the product 1.72x0.32
Answers
Answer:
.5504
Step-by-step explanation:
The Smith family is building a deck that is 200 square feet in area. What are the
possible lengths and widths the deck could have?
Answers
I am guessing in whole numbers but any and every number could work. so divide 200( which is gotten by length times width ) by numbers starting with one... to find the possible deck sizes...
1by200feet
2by100feet
4by50feet
5by40feet
8by25feet
10by20feet
You are packing books into a box. The box can hold at most 10 books. The function y=5.2x represent the weight y (in pounds) of x books
Answers
This question doesn't seem completed to me. Is there anything more after this?
how to i find the lowest terms of a ratio 12 minutes to 3 hrs ?
Answers
Answer:75 minutes. Pls brainless..
Step-by-step explanation:
In order to express a ratio in the simplest form, we find the HCF of the terms ... 60/48 (divide both the numerator and denominator by 12 since, the h.c.f. of 60 ... (vi) 3 hours to 75 minutes.
As in the previous question, consider the following table of values for f(x)
x −3 0 3 4 5 9
f(x) 4 14 9 12 0 0
Solve for x:
f(x)=0
List your answers separated by a comma, if necessary. For example, if you found x=1 and x=2, you would enter 1,2.
Answers
The points of Intersection of this line with the graph of the function f(x) are the solutions to the equation f(x) = 0.
To solve for x when f(x) = 0, we need to find the x values where the function f(x) crosses the x-axis.
Looking at the table, we can see that the function crosses the x-axis at x = 5 and x = 9, where f(x) is equal to 0.
Therefore, the solutions to the equation f(x) = 0 are x = 5 and x = 9.
We can also verify these solutions graphically by plotting the points (5, 0) and (9, 0) on a graph with x-axis as the horizontal axis and y-axis as the vertical axis, and connecting them with a straight line. This line represents the x-axis and the points of intersection of this line with the graph of the function f(x) are the solutions to the equation f(x) = 0.
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What is the effect on the graph of f(x) = x² when it is transformed to
h(x) = 3x²-7?
A. The graph of f(x) is horizontally compressed by a factor of 3 and
shifted 7 units to the right.
B. The graph of f(x) is vertically stretched by a factor of 3 and shifted
7 units down.
C. The graph of f(x) is vertically stretched by a factor of 3 and shifted
7 units to the right.
D. The graph of f(x) is horizontally stretched by a factor of 3 and
shifted 7 units down.
Answers
The effect on the graph of f(x) = x² when it is transformed to h(x) = 3x² - 7 is described by option B. The graph of f(x) is vertically stretched by a factor of 3 and shifted 7 units down.
The original function f(x) = x² represents a parabola with its vertex at the origin (0, 0). The graph opens upward and has a general U-shape.The transformation h(x) = 3x² - 7 indicates that the function has been multiplied by 3, resulting in a vertical stretch. This means that the points on the graph are now vertically spread out, making the U-shape more elongated.Additionally, the transformation includes subtracting 7 from the function, shifting the entire graph downward by 7 units. This means that each y-coordinate of the original function has been reduced by 7 units.The combination of the vertical stretch by a factor of 3 and the downward shift of 7 units results in a new graph h(x) that is vertically stretched and shifted downward. The overall shape of the graph remains a U-shaped parabola, but it is now wider and lower compared to the original graph.Therefore, option B accurately describes the effect of the transformation on the graph of f(x) = x² to h(x) = 3x² - 7.For more such questions on graph, click on:
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. Chad's pay rate for babysitting is y = 9x, where x is the number of hours he babysits, and y is the number of dollars he earns. Horatio's pay rate is shown in the graph below. Horatio's Babysitting Pay Rate. Which of the following statements is true? * HORATIO'S BABYSITTING PAY RATE 100 90 80 70 60 Dollars Earned (8.60) 50 40 30 20 10 (4, 30) 0 1 2 3 4 5 6 7 8 9 10 Hours A. Chad makes $1.00 more per hour than Horatio. O B. Chad makes $1.50 more per hour than Horatio. C. Chad makes $1.00 less per hour than Horatio. D. Chad makes $1.50 less per hour than Horatio.
Answers
Answer: Chad Makes $1.50 more
Step-by-step explanation:
You have to divide 30 from 4 to see Horatio’s hourly rate which is 7.5 and then you will see that 9 - 7.5 is 1.5. I hope this helped
8.64 ÷ 2.25 = ______
Answers
Answer: 3.84
Step-by-step explanation:
cause it is use calculator
Answer:
8.64 ÷ 2.25=3.84
Your answer: 3.84
Step-by-step explanation:
The solid glass award that Jillian was given has a total height of 15 inches as shown.
A rectangular pyramid with a base of 6 inches by 4 inches and a height of 15 inches. A rectangular prism with a length of 6 inches, width of 4 inches, and height of 2 inches.
What is the total volume of glass used to make the award?
A) 120 inches cubed
B) 152 inches cubed
C) 168 inches cubed
D) 204 inches cubed
Answers
Answer:
the answer is a
Step-by-step explanation:
Can i please have brainliest. I really need it
Thanks
Answer:
120 ich or A
Step-by-step explanation:
How do you write – 7.83 as a fraction into simples form?
Answers
7.83 can be written as a fraction in simplified form as \(7 \frac{80}{100}\).
A fraction, which is expressed in the form p/q, where p and q are both integers, denotes a portion of a whole. Here, we'll explain the steps involved in converting 7.83 decimal numbers to fraction form and mixed numbers. In order to convert 7.83 to a fraction, do the following:
Write the decimal number split by one first as follows:
7.83/1
Since the numerator has two digits after the decimal point, we must multiply the numerator and denominator by 102 = 100, removing the decimal point.
7.83 × 100/1 × 100 = 783/100
We can also express 7.83 as a mixed number because the improper fraction is caused by the numerator being bigger than the denominator; as a result, 783/100 is equal to:
\(7 \frac{80}{100}\)
Therefore, 7.83 is 783/100 as a fraction, and its mixed number form is \(7 \frac{80}{100}\).
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3(x-1)=2x+9 what is the equations variable value?
Answers
Answer:
X=12
Step-by-step explanation:
I did this in my head but if you need the explaination tell me in the comments.
Male mosquitos have pretty short lifespans. Males of a certain species have lifespans that are strongly skewed to the right with a mean of 888 days and a standard deviation of 666 days. A biologist collects a random sample of 505050 of these male mosquitos and observes them to calculate the sample mean lifespan. We can assume that the mosquitos in each sample are independent.
What will be the shape of the sampling distribution of the sample mean lifespan?
Answers
Answer:
Approximately Normal
Step-by-step explanation:
The sample size is large (n50≥30n), so the sampling distribution of the sample mean will be approximately normal even though the population is skewed.
What is the slope-intercept equation for the line below? (4, 3); (0, 1) A . y = - 2x + 1 B . y = - 1/2 * x + 1 . y - 1/2 * x + 1 D. y = 2x + 1
Answers
y = 1/2x + 1 is the line's equation in slope-intercept form.
Slope-intercept form of a lineThe equation of a line in slope intercept form is expressed as y = mx + b where:
m is the slope
b is the y-intercept
Given the following coordinate points (4, 3) and (0, 1), the slope is calculated as:
Slope = 1-3/0-4
Slope = -2/-4
Slope = 1/2
For the y-intercept, it is the point where the x-coordinate is zero, hence the y-intercept if (0, 1)
Determine the required equation
y = mx + b
y = 1/2x + 1
Hence the equation of the line in slope-intercept form is y = 1/2x +1
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In an ocean, the water is not the same temperature throughout. Do you think the surface is warmer or cooler than the water at the bottom?
Answers
Answer:
Cooler
Step-by-step explanation:
In the figure below, points X, Z, Q, R, and S lie in plane P. Points T and Y do not lie in plane P.
For each part below, fill in the blanks to write a true statement.
Answers
The blank spaces in the statements area. S, R, and Q are distinct points that are collinear: b. TX and QS are distinct lines that intersect. c. Point Y and line QS are coplanar. d. Another name for plane P is: plane QSY.
What are Colinear Points?Points that lie on the same straight line are collinear points.
If two lines are lie on the same plane, they are referred to as coplanar lines.
(a.) S, R, and Q are on a straight line. Therefore S, R, and Q are distinct points that are collinear.
b. TX and QS are distinct lines that intersect.
c. Point Y and line QS are on the same plane. Therefore:
Point Y and line QS are coplanar.
d. Another name for plane P is: plane QSY.
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Duane begins paying a $5,000
student loan with an annual interest rate of 6.5%
compounded monthly. He schedules monthly payments of $118.57
for 4
years.
The following table shows the first payment in the amortization schedule.
Payment
Number Loan
Amount Payment Interest Principal Remaining
Balance
1
$5,000.00
$118.57
?
What amount of Duane's first payment goes to interest?
Responses
Answers
The amount of Duane's first payment that goes to interest is approximately $26.47.
To determine the amount of Duane's first payment that goes to interest, we need to use the amortization formula for a loan.
The formula to calculate the interest portion of a loan payment is:
Interest = Remaining Balance * Monthly Interest Rate.
Let's calculate the interest for the first payment using the given information:
Loan Amount = $5,000.00
Monthly Payment = $118.57
First, we need to calculate the monthly interest rate:
Monthly Interest Rate = Annual Interest Rate / 12
= 6.5% / 12
= 0.00542
Next, we need to calculate the remaining balance after the first payment:
Remaining Balance = Loan Amount - Principal Paid
= $5,000.00 - $118.57
= $4,881.43
Finally, we can calculate the interest portion of the first payment:
Interest = Remaining Balance * Monthly Interest Rate
= $4,881.43 * 0.00542
= $26.47
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The dimensions of a right rectangular prism are 1.5 cm, 0.5 cm and 2.25 cm.
What is the volume of the prism?
Answers
Answer:
3 dimensions
Step-by-step explanation:
What value of x will make the triangle congruent
Answers
Answer:
x = 3/5 = 0.6
Step-by-step explanation:
By the ASA Triangle Congruence Theorem, the two given triangles are congruent (vertical angles are congruent). Because we know that corresponding parts of congruent triangles are congruent, we can write the following equation: 7x - 3 = 2x. Now we can solve:
7x - 3 = 2x
-3 = -5x
3/5 = x
Use differences to fins a pattern in the sequence 0,12,72,240,598,1250,2322
Assuming that the pattern continues, the eighth term should be ?
Answers
Answer:
8th term is 3980.
Step-by-step explanation:
0 12 72 240 598 1250 2322
Differences in successive terms
are:
12 60 168 358 652 1072
48 108 190 294 420
60 82 104 126
22 22 22
So calculating the 8th term , working from the last line to the first:
126 + 22 = 148
148 + 420 = 568
1072 + 568 = 1658
Finally the 8th number = 2322 + 1658 = 3980