The required simplified expression of the given expression 10x -(-7+6x) is 4x - 7.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
To simplify the expression 10x -(-7+6x), we can apply the distributive property of multiplication over addition and simplify the expression inside the brackets first.
-(-7+6x) = -1×(-7) + (-1)×6x
= 7 - 6x
Substituting this result into the original expression gives:
10x -(-7+6x) = 10x + 7 - 6x
Now we can combine like terms by adding the x terms and the constant terms separately:
= (10x - 6x) + 7
= 4x - 7
Therefore, 10x -(-7+6x) simplifies to 4x - 7.
Learn more about simplification here:
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The set of ordered pairs below represents a function.
{(–9, 1), (–5, 2), (0, 7), (1, 3), (6, –10)}
Josiah claims that the ordered pair (6, –10) can be replaced with any ordered pair and the set will still represent a function.
Select all ordered pairs that could be used to show that this claim is incorrect.
(–9, –6)
(1, 12)
(–10, –10)
(4, 7)
(–5, 1)
Given:
The set of ordered pairs below represents a function.
{(–9, 1), (–5, 2), (0, 7), (1, 3), (6, –10)}
Josiah claims that the ordered pair (6, –10) can be replaced with any ordered pair and the set will still represent a function.
To find:
All the ordered pairs that could be used to show that this claim is incorrect.
Solution:
We need to find the ordered pairs that can be replaced with (6,-10) and for which the set is not a function.
A relation is called function if there exist a unique output for each input.
If (-9,-6) is replaces with (6,-10), then the set has two outputs y=1 and y=-6 for x=-9. So, the claim is incorrect.
If (1,12) is replaces with (6,-10), then the set has two outputs y=12 and y=3 for x=1. So, the claim is incorrect.
If (-10,-10) is replaces with (6,-10), then there exist unique output for each input. So, the claim is correct.
If (4,7) is replaces with (6,-10), then there exist unique output for each input. So, the claim is correct.
If (-5,1) is replaces with (6,-10), then the set has two outputs y=1 and y=2 for x=-5. So, the claim is incorrect.
Therefore, the correct options are (a), (b) and (e).
does anyone have remind ill give u a code
Answer:
no
Step-by-step explanation:
no
Solve the inequality x + 2 ≥ 8
Answer:
the answer is x ≥ 6
Step-by-step explanation:
x ≥ 8 - 2
x ≥ 6
Determine whether the sets are equal, equivalent, both, or neither.
{apple, orange, pear} and {pear, apple, orange}
A.Neither
B.Equal
C.Both
D.Equivalent
Find the distance between the points (7,5) and (7,-3)
Answer:
its eight on the y axis
Step-by-step explanation:
help plsssssssss. cm.
how do I solve -12+1/2x=-6
Answer:
x = 12
Step-by-step explanation:
First, eliminate the fractional coefficient 1/2, by multiplying all three terms by 2:
-24 + x = -12
Adding 24 to both sides isolates x: x = -12 + 24, or x = 12
PLEASE HELP!!!!
Which expression is a simplified form of
[tex]3x^{2} - 4x + 5 - x^{2} + 2x - 1[/tex]
[tex]a) \: 2x^{4} - 2x^{2} + 4 \\ b) \: 2x^{4} + 6x^{2} + 4 \\ c) \: 2x^{2} - 2x + 4 \: \: \\ d) \: 4x^{2} - 2x + 4 \: \: [/tex]
Answer: c) 2x² - 2x + 4
Step-by-step explanation:
Create an equivalent expression without parentheses
-2(3x+4)
Answer:
-6x - 8
Step-by-step explanation:
-2(3x+4) = -6x - 8
this means the -6x - 8 is equivalent
Write expressions for the following scenarios.
Albert, Bill and Carl are brothers.
Bill is 4 years older than Albert.
Carl is twice the age of Albert.
Write an expression for the sum of their ages.
Answer:
flaimgo/albert
Step-by-step explanation:
What is this answer?
Answer:
X intercepts (-30,0)
Y intercepts (0,-3)
why wont anybody help me i posted like 5 questons but heres the question :(
Answer:
i got you fam
Step-by-step explanation:
its b fam because the top x value goes by 1 then 2 and the y value goes from 2 to 4
I don't understand this either what's this
Answer:
It's called a transversal lol
Step-by-step explanation:
I know that you were thinking that there should be a letter somewhere but you can't figure out the name of a line unless the name is shown lol
Pls mark Brainliest.
Does the graph represent a function?
Step-by-step explanation:
yes dear. .............
2x - 4(x + 1) = 3x
2x - 4x – 4 = 3x
-2x - 4 = 3x
? = ?
Answer:
-2x-3x=4
-5x=4
x= -4/5
Step-by-step explanation:
Write a system of equations to describe the situation below, solve, and write as an ordered pair (with number of months as x).
Two friends, Ann and Malia, are growing out their hair. They plan to cut it off at a certain point and donate it to a charity that makes wigs for people with cancer. Ann's hair is already 23 centimeters long and grows at a constant rate of 3 centimeters per month. Malia's hair is 27 centimeters and growing at a speed of 1 centimeter per month. If the girls get their hair cut on a certain day, they will have exactly the same length to donate. How long will their hair be? How long will that take?
Step-by-step explanation:
Wyzant
ASK
ALGEBRA 1
Christina B. asked • 11/16/20
please help me i've been stuck on this question forever
Write a system of equations to describe the situation below, solve, and write as an ordered pair (with number of months as x). Two friends, Ann and Malia, are growing out their hair. They plan to cut it off at a certain point and donate it to a charity that makes wigs for people with cancer. Ann's hair is already 23 centimeters long and grows at a constant rate of 3 centimeters per month. Malia's hair is 27 centimeters and growing at a speed of 1 centimeter per month. If the girls get their hair cut on a certain day, they will have exactly the same length to donate. How long will their hair be? How long will that take?
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Allen E. answered • 11/17/20
TUTOR 5.0 (131)
Patient and knowledgeble mathematics tutor
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Ann's hair length: y = 23 + 3x
Malia's hair length: y = 27 + x
Thus: 23 + 3x = 27 + x
23 + 2x = 27
2x = 4
x = 2
Ann's hair length: y = 23 + 2(3) = 29
Malia's Hair length: y = 27 + 2 = 29
Solution: (x, y) = (2, 29)
In 2 months both Ann's and Malia's hair will be 29 centimeters long.
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Erykah H. answered • 11/16/20
TUTOR 3.7 (3)
Senior at the University of Illinois looking to help how I can!
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Lauren W. answered • 11/16/20
TUTOR 5 (2)
All ages English/Writing tutor, Kindergarten through University
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Let's start with Ann's hair: 23 centimeters + 3 centimeters per month
Malia's hair: 27 centimeters + 1 centimeter per month
Now we can substitute the number of months for "x"
Ann's hair length = 23 + 3x
Malia's hair length = 27 +1x
We know that we want both girls to have the same hair length at the end so we can set these two equations as equal to each other:
23 + 3x = 27 + 1x Subtract 23 from both sides
3x = 4 + 1x Subtract 1x from both sides
2x = 4 Divide by 2
x=2 Now we know it will take 2 months for their hair to be the same length!
Let's plug that in to our original equations:
Ann's hair length = 23 + 3(2) = 29 centimeters
Malia's hair = 27 + 1(2) = 29 centimeters
It will take 2 months for the girls to grow their hair to the same length of 29 centimeters.
As ordered pairs, with x as the number of months, we can use the length of the girls hair as the y value.
At 0 months, Ann's hair is 23 cm and Malia's is 27 cm so the first ordered pairs are (0, 23) and (0, 27).
At 1 month, Ann's hair grows 3 cm and Malia's grows 1 cm so the second pairs are (1, 26) and (1, 28).
Finally, at 2 months Ann's hair is at 29 cm and so is Malia's so the final ordered pair is (2, 29) for both girls.
If you were to draw these equations on a graph, (2, 29) is where the lines would intersect.
Helppp ahhhhhhhh. Plzzzz
Answer:
15-67X/30X
Step-by-step explanation:
.6(2k - 3) = 3(4k + 5)
Hellppp pleaseee
Answer:
Step-by-step explanation:
.6(2k-3)=3(4k+5) foil
1.2K-1.8=12k+15 subtract 1.5k from both sides
-1.8=10.8k+15 subtract 15 from both sides
-16.8=10.8k divide by 10.8
k= -1.5
A microwave originally costs $96, but is marked up to a price of $115.20. What is
the percent increase?
Answer:
20% increase
Step-by-step explanation:
I am just talking to answer but yes I am sure
Plz help me I need help
I'm not too sure but I think it's option
1. No, because only one angle of the triangle is congruent.
Solve for m.
94 = 31 + 7m
Answer:
M = 9
Step-by-step explanation:
94 = 31 + 7m
63 = 7m
9 = m
Hope this helps. Pls give brainliest.
Tyler has $4.50 in a bank in his bedroom. Each day he adds $1.50 to it. Which equation can be used to find out how many days it will take for Tyler to save $30.00?
a
4.5 + 1.5x = 30.00
b
(4.5 + 1.5)x = 30.00
c
30.00 + 4.5 = 1.5x
d
4.5 × 1.5 × x = 30.00
Answer:
A
Step-by-step explanation:
Solve linear equations
Solve for x
3х – 10 = 16
Answer:
x=26/3
Step-by-step explanation:
3x-10=16
add 10 to both sides
3x=16+10
simplify
3x=26
divide both sides by 3
x=26/3
Pweas help....10 points and brainiest and thznks<3
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
A pair of parallel lines are cut by a transversal as shown in the figure. Identify the types of angles created by the transversal.
corresponding angles
vertical angles
alternate interior angles
alternate exterior angles
adjacent angles
angles F and H
angles D and H
angles E and H
angles B and H
Answer:
F&H are vertical angles, D&H are corresponding angles, E&H are adjacent angles, and B&H are alternate interior angles.
Step-by-step explanation:
Hope this helps. Tell me if you need and explanation.
Answer: F&H are vertical angles, D&H are corresponding angles, E&H are adjacent angles, and B&H are alternate interior angles.
Step-by-step explanation:
Hope this helps. Tell me if you need and explanation.
Write an explicit formula that represents the sequence defined by the following recursive formula
HELP IM TIMED
Answer:
The explicit formula is a[tex]_{n}[/tex] = 5 - 6n
Step-by-step explanation:
The explicit formula of the arithmetic sequence of the recursive formula
a[tex]_{1}[/tex] = first term; a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] + d is a[tex]_{n}[/tex] = a + (n - 1)d, where
a is the first termd is the common difference between each two consecutive termsn is the position of the number∵ The recursive formula is a[tex]_{1}[/tex] = -1 and a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] - 6
→ Compare it with the formula above
∴ a = -1 ⇒ 1st term
∴ d = -6 ⇒ common difference
→ Substitute them in the form of the explicit formula
∵ a[tex]_{n}[/tex] = -1 + (n - 1)(-6)
∴ a[tex]_{n}[/tex] = -1 + (-6)(n) - (-6)(1)
∴ a[tex]_{n}[/tex] = -1 + -6n - (-6)
∴ a[tex]_{n}[/tex] = -1 - 6n + 6
→ Add the like term
∴ a[tex]_{n}[/tex] = 5 - 6n
∴ The explicit formula is a[tex]_{n}[/tex] = 5 - 6n
PLEASE HELP ASAP!!!!
Answer:
The correct Option is Option A
Account B because the principal of Account B is $300 and the principal for Account A is $150
Step-by-step explanation:
Interest earned from Account A = $ 4.50
Interest earned from Account B = $22.50
Time t = 18 months
Interest rate for Account A = 2%
Interest rate for Account B = 5%
We need to find which account has greater principal
The formula used to calculate principal is: [tex]Interest=Principal\times r \times t[/tex]
where r is rate and t is time
Finding Principal for Account A:
Interest earned from Account A = $ 4.50
Time t = 18 months = 1.5 years
Interest rate for Account A = 2% = 0.02
Putting values and finding Principal
[tex]Interest=Principal\times r \times t\\4.50=Principal\times0.02\times1.5\\Principal=\frac{4.50}{0.02\times1.5} \\Principal=\frac{4.50}{0.03} \\Principal=150[/tex]
So, The Principal Amount for Account A = $150
Finding Principal for Account B:
Interest earned from Account B = $ 22.50
Time t = 18 months = 1.5 years
Interest rate for Account A = 5% = 0.05
Putting values and finding Principal
[tex]Interest=Principal\times r \times t\\22.50=Principal\times0.05\times1.5\\Principal=\frac{22.50}{0.05\times1.5} \\Principal=\frac{22.50}{0.075} \\Principal=300[/tex]
So, The Principal Amount for Account B = $300
So, the correct Option is Option A
Account B because the principal of Account B is $300 and the principal for Account A is $150
hi! im quite confused on this. can someone please help me? ill give brainiest if youre correct :)
Answer:
I believe the answer is D
Step-by-step explanation:
after 3 hours it traveled 120 miles so divide that by the 3 hours and it gives you 40 miles per hour giving you the slope and the y int would be negative 300 because he started 300 miles aways from Denver
Answer:
The answer seems to be D
Step-by-step explanation:
I cannot really confirm but I am most certain it is D.
To pass a quiz, students need a score of at least 32 points out of a total of 40 points. At least what percent do the students need to pass the quiz
Answer:
80%
Step-by-step explanation:
Hope this helps :)
From 83 hours to 76 hours? And is it a increase or decrease?
Answer:
decrease
Step-by-step explanation:
Answer:
decrease
Step-by-step explanation:
Find the measure of the angle indicated and show work please help I need this soon
