Answers
f(x)=x²-1
g(x)=2x-3
f(x)*g(x)=(x²-1)*(2x-3)-----------> this function exists for all real numbers
the answer is the interval (-∞,∞)
using a graph tool see the attached figure
Related Questions
1. What is the constant of variation for the relationship f(x) = 40x?
2. Which equation is the direct variation equation if f(x) varies directly with x and f(x) = -12 when x=6
Answers
2. -12 = -2*6 . . . . . you know this because you know your times tables
.. f(x) = -2x
Which expression makes the equation true for all values of X? 16 X -16 =4(?)
Answers
16*X -16 =4---------------- > X=[4+16]/16
X=[4+16]/16----------------> X=20/16=1.25
X=1.25
the answer is X=1.25
How measuring angles could be useful in thge real world?
Answers
The area of a triangle is 36 square meters. The base is 1 meter less than the height. What is the height of the triangle?
Answers
b = h - 1 so:-
36 = 1/2 * h * (h - 1)
h(h - 1) = 72
h^2 - h - 72 = 0
(h - 9)(h + 8)
so h = 9 or -8 ( height cannot be negative so h = 9
Answer is 9 meters
Suppose that an individual has a body fat percentage of 18.9% and weighs 149 pounds. How many pounds of her weight is made up of fat? Round your answer to the nearest tenth.
Answers
What is 59.69 written in expanded form
Answers
Final answer:
The expanded form of 59.69 is 50 + 9 + 0.6 + 0.09.
Explanation:
59.69 written in expanded form can be expressed as:
50 + 9 + 0.6 + 0.09
5 * 10 + 9 * 1 + 0.6 * 0.1 + 0.09 * 0.01
5 * 10 + 9 * 1 + 6 * 0.1 + 9 * 0.01
50 + 9 + 0.6 + 0.09
Therefore, the expanded form of 59.69 is 50 + 9 + 0.6 + 0.09.
Final answer:
The number 59.69 written in expanded form is 50 + 9 + 0.6 + 0.09. Each term represents a digit according to its place value, with tens, ones, tenths, and hundredths places accounted for respectively.
Explanation:
Writing the number 59.69 in expanded form means expressing each digit according to its place value. Expanded form is a way of writing numbers to see the math value of individual digits. The number 59.69 would be broken down as follows:
50 + 9 + 0.6 + 0.09
Each term represents a digit in the number: '5' is in the tens place, so it is represented as 50; '9' is in the ones place, so it is simply 9; '6' is in the tenths place, so it is represented as 0.6; '9' is in the hundredths place, so it is represented as 0.09.
When performing calculations, particularly in subjects such as chemistry, scientific notation is often used to express large or tiny numbers efficiently. For example, to enter a number in scientific notation into a calculator, you must know the correct process, which can vary based on the calculator model. Consulting the instructor or the calculator's manual is advisable if there are any doubts.
Furthermore, working with scientific notation involves understanding how to properly write and interpret the exponents, which indicate how many places the decimal point has been moved.
Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?
Answers
Answer:
-12 and 2
Step-by-step explanation:
[tex]x^2+10x=24\\[/tex]
[tex]x^2+2*5*x=24[/tex]
[tex]x^2+2*5*x+5^2-5^2=24[/tex]
[tex](x^2+2*5*x+5^2)-5^2=24[/tex]
Using the identity
[tex]a^2+2*a*b+b^2 = (a+b)^2[/tex]
we get
[tex](x+5)^2-5^2=24[/tex]
[tex](x+5)^2-25=24\\[/tex]
[tex](x+5)^2=24+25\\(x+5)^2=49\\(x+5)=+7 \\or (x+5)=-7\\[/tex]
Solving both of them we get
x=-12 or x=2
Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then select none. please help asap
Answers
Answer:
option C
Step-by-step explanation:
In the figure attached, the given quadrilateral will be parallelogram if the given angles ∠7 = ∠3 and ∠8 = ∠4 ( alternate angles ) or ∠1 = ∠5 and ∠2 = ∠6 ( alternate angle )
But the given angles are ∠7 and ∠8 which represent a big angle A when combined.
Therefore, option C none will be the answer.
How do you Simplify a4 x a5
Answers
The simplification of the given expression by the law of indices will be a⁹.
What is the law of indices?Index (indices) in Maths is the power or exponent which is raised to a number or a variable.
In other words, the mathematics of power or exponent of any number is called indices.
Another example could be 7² = 7³/7 here we divide to obtain power 2.
As per the given expression,
a⁴ × a⁵
By the law of indices that [tex]a^{m} \times a^{n} = a^{m+n}[/tex].
a⁴ × a⁵ = a⁽⁴ ⁺ ⁵⁾ = a⁹
Hence "The simplification of the given expression by the law of indices will be a⁹".
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Find the value of a in the parallelogram.
Answers
6a-4=2a+56
---------------
Now solve
Subtract 2a from each side
6a-4-2a=2a+56-2a
4a-4=56
----------------------
Add 4 to each side
4a-4+4=56+4
4a=60
---------------------------
Divide each side by 4
4a ÷ 4 = 60 ÷ 4
a = 15
Look at the picture below // 99 points // PLEASEE HELPP
Answers
area = (5 x 6) + ((15 x 6)
area = 30 + 90
area = 120
answer
D. 120 square units
Round 6541 to the nearest thousand
Answers
To round 6541 to the nearest thousand, identify the place value and look at the hundreds place. The answer is 6000.
Rounding 6541 to the nearest thousand:
Identify the place value you are rounding to, which is the nearest thousand.
Look at the hundreds place since we are rounding to the nearest thousand. In 6541, the hundreds digits is 5, so the thousands digit remains 6, and all digits after that become 0. Therefore, 6541 rounded to the nearest thousand is 6000.
Pencils sells for 98 cents per dozen. how much more per pencils
Answers
[tex].98 \div 12 = .08[/tex]
Can someone help me with this problem?
Answers
Which expression can be used to find the number of liters in 15 quarts?
Answers
Answer:15 quarts/1 x 0.95 liter/1 quart
Step-by-step explanation:
The histogram represents the distributions of rain amounts in two cities. Which best explains how the histogram is useful for comparing the shapes of the data sets? It is easier to visually compare the means of the data. It is easier to visually compare the standard deviations of the data. It is easier to visually compare the medians of the data. It is easier to visually compare symmetry and skew of the data.
Answers
Answer:
It is easier to visually compare symmetry and skew of the data.
Step-by-step explanation:
Given that the histogram represents the distributions of rain amounts in two cities.
Histogram enables us to have a visual idea easily understandable about the pattern of the distribution.
The important points are whether the distribution is symmetrical or right/left skewed.
Mean, median, std deviations cannot be found easily by justing seeing the histograms.
Hence correct answer is
It is easier to visually compare symmetry and skew of the data.
A company is selecting students for interviews at the career fair. The number of students selected from university A is given by f(x) = 4x + 5, where x represents the number of days of the fair. The number of students selected from university B is given by g(x) = 2x + 8. Which function best describes the total number of students selected at the career fair?
a. h(x) = (4x + 5)(2x + 8)
b. h(x) = 2x - 3
c. h(x) = -2x + 3
d. h(x) = 6x + 13
Answers
f(x)=4x+5
Number of students selected from University B:
g(x)=2x+8
So total number of students selected from both universities:
h(x)= f(x)+g(x)
Put values
h(x)=4x+5+2x+8
h(x)=6x+13
Option D is correct.
Answer:
B, for plato students that is
Step-by-step explanation:
What is the slope of any line parallel to y = 4x + 17
Answers
In this equation, m = 4. So, the slope of any line parallel to y = 4x + 17 is 4.
Hope this helps! (:
Slope of any line parallel to the given line is 4
Explanation:
The general form of the linear line is:
y = mx + c where m is the slope
The given line is:
y = 4x + 17
Comparing the given line with the general formula, we would find that:
slope of the line (m1) = 4
Now, for any two lines to be parallel, their slopes must be equal.
This means that:
m1 = m2
We have m1 = 4, therefore:
m2 = 4 for the two lines to be parallel.
Hope this helps :)
Solve the following automotive-services problem.
Resistance = 0.1 ohm
Current = 60 amps
Voltage = ______ ?
A. 0.6
B. 6 60
C. 600
Answers
What’s one way we can check our answer to 2x10=20
Answers
to check:
20 ÷ 10 = 2
20 ÷ 2 = 10
Hope this helps :)
laissez faire is the term used to describe a capitalist economy without any regulations
Answers
Information about Laissez-faire's economy is given.
What is a Laissez-faire economy?Laissez-faire is a free-market, capitalist economic theory that rejects government interference. The French Physiocrats, who lived in the 18th century, created the laissez-faire ideology. According to proponents of laissez-faire, government involvement in industry and markets hinders economic progress.
Laissez-Faire capitalism allowed businesses to pursue just their financial goals without having to worry about restrictions from the state or taxes. Naturally, this might induce unfavorable externalities and knowledge asymmetries that could enable producers to act badly and get away with it. Laissez-Faire proponents contend that since the market would eliminate such undesirable actors, extensive and expensive regulation is not necessary. However, in practice, negative actors might carry on their operations for a very long time. Without government testing and regulatory oversight to safeguard consumers, for instance, it could not be known if a vitamin manufacturer is putting sawdust in place of herb powder in their capsules.
Therefore, In real world the laissez-faire is a capitalist economy have regulations.
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The ratio of girls to boys in a classroom is 3:5. Kevin says there must be 8 students in the classroom. Which explains whether Kevin is correct?
Answers
Kevin is incorrect because 3:5 may be a simplified ratio.
Kevin is incorrect because 3:5 may be a simplified ratio. Option C is correct.
Given that,
The ratio of girls to boys in a classroom is 3:5. Kevin says there must be 8 students in the classroom. Which explains whether Kevin is correct is to be determined,
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here, the ratio of girls to boys is 3:5, Which implies there are 3 girls over 5 boys in the number, This is the simplified ratio of the girls to boys of the students in the class. So, Kevin says there must be 8 students in the classroom which is right, but Kevin does not explain the proportion in his statement,
Thus, Kevin is incorrect because 3:5 may be a simplified ratio. Option C is correct.
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3500 calories for 6 servings of pie how many calories per serving
Answers
3500/6
=583.33
Fifty students in the third-grade class listed their hair and eye colors in the table below: Brown hair Blonde hair Total Blue eyes 14 8 22 Brown eyes 16 12 28 30 20 50 Are the events "blonde hair" and "blue eyes" independent?
A) Yes, P(blonde hair) • P(blue eyes) = P(blonde hair ∩ blue eyes)
B) Yes, P(blonde hair) • P(blue eyes) ≠ P(blonde hair ∩ blue eyes)
C) No, P(blonde hair) • P(blue eyes) = P(blonde hair ∩ blue eyes)
D) No, P(blonde hair) • P(blue eyes) ≠ P(blonde hair ∩ blue eyes)
Answers
P(A) is the probability of being blonde.
P(B) is the probability of having blue eyes.
P(A∩B) is the probability of being blonde with blue eyes.
P(A)*P(B) = (20/50)*(22/50) = 440/2500 = 22/125.
P(A∩B) = 8/50.
These two probabilities are not equivalent; 22/125=0.176, while 8/50=0.16. Our answer is D.
Answer: the answer is D
Step-by-step explanation:
I Put 45 Points!!
Use what you have learned from this chapter to make a model boat out of a 10-cm square piece of foil. Test your model boat in a tank of water to see how many pennies it can support before sinking. Compare the performance of your boat with those of your classmates. Suggest several design improvements based on your results. Respond to at least one other students posting giving suggestions on how the model of their boat or yours could be improved to increase buoyancy.
Answers
Then just follow the instructions they give to you, like so:
1. Test your model boat in a tank of water to see how many pennies it can support before sinking.
Then, after you do that (theres no need to record a video or take a picture thats up to you) all you have to do is:
Talk about how the model of your boat could be improved, or made better to one of your classmates (but post it on the discussion board)
Which quadratic regression equation best fits the data set?
Answers
_____
Desmos.com has a wonderful graphing calculator. They also have apps for Android and iOS phones and tablets. Of course, your TI-83/84 or equivalent will do this, too.
Answer:
D. [tex]y=1.87x^2-5.16x+10.54[/tex]
Step-by-step explanation:
The data set is given by,
x y
1 5.9
2 8.9
3 13.4
4 20.1
5 30.1
6 45.1
7 67.7
Using the regression calculator, we see that,
The quadratic equation that best fits the data is [tex]y=1.87x^2-5.16x+10.54[/tex] as shown below.Thus, option D is correct.
On Monday Mrs. Wise bought 3 lbs of apples at $4 per lb. On Tuesday, apples were on sale for 20% off so she bought another 5 lbs. How much money did Mrs. Wise spend on apples on Tuesday?
Answers
[tex]0.80 \times 4 = 3.2[/tex]
find 80% (20% less) of 4
[tex]3.2 \times 5 [/tex]
multiply the reduced price by the number of lbs she bought.
A local magazine is offering a $2,500 grand prize to one lucky winner. $1,000 will be paid on the day of the drawing. the remaining $1,500 will be paid in three annual payments of $500 each, starting one year after the drawing. how much would this prize be worth to you if you can earn 9 percent on your money?
Answers
[tex]A=I*( 1+ \frac{r}{100} )^{n} [/tex]
Where
A= total amount after some time
I = initial amount
r = rate
n = number of years
Total prize we will receive is:
Total = $1000 + $500 after one year + $500 after two years + $500 after three years.
Now we need to calculate how much we will earn after each year:
Year 1:
[tex]A=500* (1+ \frac{9}{100})^{1} = 545[/tex]
Year 2:
[tex]A=500* (1+ \frac{9}{100})^{2} = 594,05[/tex]
Year 3:
[tex]A=500* (1+ \frac{9}{100})^{3} = 647,51[/tex]
So total amount is:
Total = $10000 + $545 + $594,05 + $647,51
Total = $2786,56
Arthur buys a zero coupon bond with a face value of $5000 for $4000. The bond has five years until it matures. How much would Arthur earn if he holds this bond to maturity?
Answers
Explanation:
In bonds, the face value is the value of bond when it is held to maturity. Since the face of the bond is $5,000, the value of Arthur's bond when he holds it until maturity is $5,000.
To get Arthur's earnings by holding his bond until maturity, we subtract the face value to the amount he paid for the bond. Since the face value is $5,000 and he paid $4,000 for that bond, he earned $1,000 for the bond because $5,000 - $4,000 = $1,000.
Write and solve an equation to answer the question. "18 is 32% of what number w"
Answers
18 * 32/100 = w
w = 56.25
Hope this helps!
The value of 32% of 18 is equal to 56.25.
What is an expression?
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that 18 is 32% of the number w. The value of w will be calculated as:-
18 x 32/100 = w
Solve the above equation by mathematical operations to get the value of w,
18 x 32/100 = w
w = 56.25
Therefore, the value of w will be 56.25.
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