Suppose that the functions r and s are defined for all real numbers x as follows.
r(x)=x+3
s(x) = 2x
Write the expressions for (r-s) (x) and (-s) (x) and evaluate (r+s) (-1).
Answers
Step-by-step explanation:
as explained in the other question : when applying an arithmetic operation on functions, you are applying it on the functional expressions.
(r*s)(x) = (x+3)*(2x²) = 2x³ + 6x²
(r-s)(x) = (x+3) - (2x²) = -2x² + x + 3
(r+s)(-1) = (-1 + 3) + (2×(-1)²) = 2 + 2×1 = 4
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Does 2/3 +3/4 + 1/5 = 1 37/60? Why or why not?
Answers
Answer:
97 / 60 is what 2/3 + 3/4 + 1/5 comes
They also come to 1 37/60
Step-by-step explanation:
1 37/60 = 97/60 Does it?
Result = 2/3 + 3/4 + 1/5
The common denominator is 3 * 4 * 5 = 60, so that much is true.
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3/4 = 45/60
1/5 = 12 / 60
When you add these three together, the numerator is 40 + 45 + 12 = 97
So the answer is correct.
What is an equation of the line with the slope -3 and a y intercept of 5? 1. Y=-3(x+5) 2. Y-5=-3x 3.-3x+y=5 4. Y=5x-3
Answers
Answer: Option 2
Step-by-step explanation: the slope is -3 so option 4 is wrong. Y intercept is 5 so the equation is y=-3x+5. Move the 5 to the left side and you get y-5=-3x which is option 2.
Amy drove to her mother's house, which is
204 miles away. If it took her 3 hours, what was
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Answers
Answer: 68 miles per hour 2
204 miles/3 hours = 68 miles per hour
i hope this helps you ok :)
Answer:
68 Miles Per Hour
Step-by-step explanation:
[tex]\frac{204}{3} =68[/tex]
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Step-by-step explanation:
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investment be worth after 6 years Given : A =
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Dan bou
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Answer:
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Step-by-step explanation:
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Use the given figure to complete the statement below.
∠1 and ∠2 are what
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In addition to the car payment, Jackson and Bonnie estimate they will spend $200 on utilities, $140 on gasoline, $200 for groceries, $55 for cell phone, and $45 for car insurance. What will be the total of the monthly bills?
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if we conduct 105 hypothesis tests at the 5% level, how many of them would be expected to be statistically significant just by chance alone
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i think if my calculations r right
Which of the following decimals is equal to 3 1/40 ? Select TWO that apply
A 3.0025
B 3.025
С 3. overline 0025
D 3.overline 025
E 3.0025 overline0
F. 3.025overline0
Answers
=======================================================
Explanation:
Use long division or your calculator to find that 1/40 = 0.025
Add on 3 to get 3 & 1/40 = 3 + 1/40 = 3 + 0.025 = 3.025 which is choice B
For some reason, your teacher has decided to add on a string of 0's onto this to form [tex]3.025\overline{0}[/tex] that horizontal line over the '0' means the 0's go on forever. So, [tex]3.025 = 3.025\overline{0} = 3.025000000...[/tex], but we can always chop off the trailing zeros to make life simpler. I'm not sure why your teacher has decided to use this fairly strange format.
The decimal value is equivalent to 3.025.
What are decimal numbers?A decimal is a number that consists of a whole and a fractional part. Decimal numbers lie between integers and represent numerical value for quantities that are whole plus some part of a whole.We have the following fraction -
3 [tex]\frac{1}{40\\}[/tex]
We can write the mixed fraction as -
3 [tex]\frac{1}{40\\}[/tex]
(40 x 3 + 1)/40
121/40
3.025
Therefore, the decimal value is equivalent to 3.025.
To solve more questions on functions, expressions and equation modelling, visit the link below -
brainly.com/question/17421223
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Which equation represents the sentence?
Six less than a number is half the number.
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Answer:
It is n-6=n/2.
Step-by-step explanation:
I took the quiz.
is 60:45 and 4:3 are equivalent ratios
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Answer:
yes
Step-by-step explanation:
if we divide both terms of 60 and 45 by 15, we can simplify it to 4:3.
In two or more complete sentences, explain how to use ordered pairs of points in S (x) and g(z) to determine if (2)
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Answer:
x=2x4=s
Step-by-step explanation:
because x+2x4=s
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Step-by-step explanation:
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I need this answer also. As fast as possible!!! Please please
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Answer:
See below:
Step-by-step explanation:
The term [tex]f(x)[/tex] is used to show the function of x and is essentially the same as y in some cases. One being right now.
So we know the function [tex]T(n)[/tex] and we know that we want to solve for [tex]T(12)[/tex].
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Using algebra, we can solve it and we get 11!
Cheers!
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Answers
Answer:
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Step-by-step explanation:
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[tex]5(x+3)=6(\frac{12+x}{2} } )\\[/tex]
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Answers
Answer:
x=21/2
Step-by-step explanation:
5(x+3)=6(12+x/2)
Distribute the 5.
5x+15=6(12+x/2)
Reduce the numbers with the greatest common factor 2.
5x+15=3(12+x)
Distribute the 3.
5x+15=36+3x
Move the variable to the left-hand side and change the sign.
5x+15-3x=36
Collect like terms.
2x=36-15
2x=21
Divide 2 on both sides
x=21/2
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Answer:
x = 10.5
Step-by-step explanation:
5(x + 3) = 6( [tex]\frac{12+x}{2}[/tex]) ← distribute parenthesis on both sides
5x + 15 = [tex]\frac{72+6x}{2}[/tex] = 36 + 3x ( subtract 3x from both sides )
2x + 15 = 36 ( subtract 15 from both sides )
2x = 21 ( divide both sides by 2 )
x = 10.5
Which of these sets of ordered pairs satisfies and expertise equation
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Answer:
the answer would be C guys
9. The
school is planning on taking 684 students on the field trip. If the bus can only hold 43
students, how many buses will they need?
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Answer:
16
Step-by-step explanation:
Answer:
16 buses
Step-by-step explanation:
684/43 = 15.9
Sam earns $.75 for each call he makes for a telemarketing service. He hopes to make at least $100 each day. Write an inequality to represents the number of calls he must make each day. (Let c equal the number of calls. )
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9514 1404 393
Answer:
6. see attached
7. (a, b) = (-2, 3)
8. equation has issues
Step-by-step explanation:
6. Matrix addition is defined for corresponding terms, so the usual associative and commutative properties of addition apply. That is, ...
A₁₁ +B₁₁ = (A+B)₁₁ . . . . . and the same for other corresponding terms
The attachment shows the sums are equal. (It is convenient to let a spreadsheet do the tedious repetitive work.)
__
7. To find 'a' and 'b', we only need to consider the matrix elements that involve those variables.
element 11: 5 = b +2 ⇒ b = 3
element 21: a = 2 +2a ⇒ a = -2 (add -a-2 to both sides to get this)
__
8. There are issues with this equation. It is incomplete and inconsistent.
element 11: p = p+4 ⇒ no solution
element 21: r = 0 +(2r s) ⇔ missing math symbol; problem is incomplete
element 12: q = 6 + (p +q) ⇒ p = -6; q = anything
element 22: s = 2s +2 ⇒ s = -2 (add -s-2 to both sides)
_____
Additional comment
When a problem has issues of the kind that show up in question 8, I suggest that you have your teacher show you how to work the problem. If they're paying attention, they will discover the issues for themselves.
If they are able to work the problem, it will be because they filled in the missing information and resolved the inconsistencies. This will let you see the intended question.
Which of the following is an arithmetic sequence with common difference 2?
O A. 1, -3, 5, -7, 9, ...
O B. 2, 4, 8, 16, 32, ...
O C. 10, 8, 6, 4, 2, ...
-
D. 13, 15, 17, 19, 21, ...
, ,
Answers
Answer:
B
Step-by-step explanation:
You can find the nth term of the arithmetic sequence calculator to find the common difference of the arithmetic sequence. The approach of those arithmetic calculator may differ along with their UI but the concepts and the formula remains the same. You need to find out the best arithmetic sequence solver having good speed and accurate results.
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2x-7=13
What is the answer for x ?
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Answer:
The answer will be ( x = 10)
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english?
Step-by-step explanation: