Answer:
Simplify the equation
Step-by-step explanation:
4x + 1 + x + -4
= 4x + x + 1 - 4
= 5x + -3
= 5x - 3
Hope this helps
Answer:
X=-5/3 or X=-1 2/3 or X=-1.66
Step-by-step explanation:
Combine like terms:
4x+1+x=-4
-x -x
3x+1=-4
-1 -1
3x=-5
Divide by 3:
3x/3=-5/3
X=-5/3
X=-1 2/3
X=-1.66
Mr. Smith paid $232,300 for his home and $33,560 for his car. Mr. Lewton paid a total of $282,106 for his home and car combined. How much more money did Mr. Lewton pay than Mr. Smith for a home and car?
Given the function: f(x) = x2 – 2x How can you restrict the domain so that f(x) has an inverse? What is the equation of the inverse function?
Answer:
B
Step-by-step explanation:
got it right on edge
The domain restriction is x ≥ 1 and inverse function is f⁻¹(x) = 1+√(x+1)
What is Inverse of Function?An inverse function is a function that returns the original value for which a function has given the output. If f(x) is a function which gives output y, then the inverse function of y, i.e. f-1(y) will return the value x.
Given:
f(x) = x² – 2x
We can find the inverse function by solving for y:
x = f(y)
x = y² -2y
x +1 = y² -2y +1
x +1 = (y -1)²
√(x +1) = y -1
1 +√(x +1) = y
So, the inverse function is
[tex]f^{-1}[/tex](x) = 1 +√(x +1)
Thus, the minimum value of x for which the original function has this as an inverse is 1.
So, The domain restriction is x ≥ 1 and inverse function is f⁻¹(x) = 1+√(x+1)
Learn more about Inverse Function here:
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9k - 12 - 8k + 10 - 5k Please help and go fast I have limited time
Answer:
-4k-2
Step-by-step explanation:
Is the number 3,600−−−−−√ rational or irrational?
Answer:
It's Rational.
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
3.5 m
What is the approximate circumference of the swimming pool? Use 3.14 as an estimate for ti.
Answer:
This question seems to be incomplete, I guess that we have a circular pool, with a diameter of 3.5 m.
Now, the circunference of a circle can be written as:
C = 2*pi*r
where:
pi = 3.14
r = radius = half of the diameter = 3.5m/2 = 1.75m
Then replacing those values in the equation for the circumference we have:
C = 2*3.14*1.75m = 10.99 m.
And knowing that the value of pi is actually larger than 3.14 (pi = 3.1415926535....)
We can safely round up the circumference to the next whole number, C = 11m
Answer:
11
Step-by-step explanation:
I took map test
Justin made a scale drawing of a city. The scale he used was 5 inches : 2 yards. A neighborhood park is 175 inches in the drawing. How wide is the actual park?
Answer:
68.8 yards
Step-by-step explanation:
We can do justice to this question using proportion,
Proportion in mathematics means that two ratios are equal it can be expressed as w/x = y/z
Let us denote the field on map as Z
Then we can say
5 inches on the map/ 2 yards in the park = 175inches/ X yards
If we cross multiply
5(Z )= 172 × 2
5(Z ) = 344
Make Z subject of the formula
Z= 344/5
Z= 68.8 yards
Hence the the actual park is 68.8 yards
match with the appropiate property:
Answer:
inverse property of multiplicationStep-by-step explanation:
(5)(1/5)=1
Answer: inverse property of multiplication
Step-by-step explanation:
You need to know about the idea of reciprocal numbers. Reciprocal numbers are numbers that multiplied together to get 1 which is also called inverse. This means one number will be itself, and it's reciprocal will be the denominator of a fraction that has 1 as the numerator
If you come across question like [the reciprocal of a] = 1/aSince 1/5 is the reciprocal of 5, and they are multiplied together to get 1. This will be the inverse property of multiplication.
Jacob’s age is two years more than the sum of the ages of his siblings Becky and Micah. Which equation represents Jacob’s age?
A. z = x + y − 2; x represents Micah's age, y represents Becky's age, and z represents Jacob's age
B. x = y + z + 2; x represents Jacob's age, y represents Micah's age, and z represents Becky's age
C. x = 2 + y + z; x represents Becky's age, y represents Jacob's age, and z represents Micah's age
D. y = x + z − 2; x represents Jacob's age, y represents Becky's age, and z represents Micah's ag
Answer:
B.
Step-by-step explanation:
Hi! Here is the explanation!
When reading this question you need to make sure you know that sum and more than are words that can help to create equations. Jacob is 2 years older than becky and michas ages combined.
The equation would be:
y= 2+ (Becky's age+Micha's age)
I hope this helped!
two numbers are in a ratio 2:3 and their sum is 35.find the numbers
Answer:
14 and 21 is the answer
Step-by-step explanation:
Hope it is helpful for you
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and mark me as a brainest
Answer:
[tex] \boxed{ \boxed{ \huge{ \boxed{ \sf{ \: 14 \: and \: 21}}}}}[/tex]
Step-by-step explanation:
Let the numbers be 2x and 3x
Let's create an equation
[tex] \sf{2x + 3x = 35}[/tex]
Solve for x.
Collect like terms
[tex] \dashrightarrow{ \sf{5x = 35}}[/tex]
Divide both side by 5
[tex] \dashrightarrow{ \sf{ \frac{5x}{5} = \frac{35}{5} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = 7}}[/tex]
The value of x is 7.
Now, replacing the value of x in order to find the two numbers :
[tex] \dashrightarrow{ \sf{2x = 2 \times 7 = 14}}[/tex]
[tex] \dashrightarrow{ \sf{3x = 3 \times 7 = 21}}[/tex]
The numbers are : 14 and 21
Hope I helped!
Best regards! :D
How can you use a number line to find the sum of -4 and 6?
Answer:
see explanation for number line\ $29$
Step-by-step explanation:
this is the answer guys.
Which defines a circle geometry
Answer:
a circle is the locus of all points equidistant from a central point
The daily high temperatures, in degrees Celsius, for two weeks were recorded. The first week had a mean high temperature of 8 degrees Celsius and a mean absolute deviation (MAD) of 1 degree Celsius. Here is a list of the high temperatures, in degrees Celsius, for the second week. 5 9 7 0 3 5 5
Answer:
mean is 4.86
mean absolute deviation is 4.86
Step-by-step explanation:
Write the steps to "undo" the equation to solve for x and then give the value of x that
solves the equation.
2 = (x - 4)^3
X = ?
Answer:
[tex]x=\sqrt[3]{2}+4[/tex]
Step-by-step explanation:
To "undo" this equation, we need to solve for x.
We begin with the equation
[tex]2=(x-4)^3[/tex]
To remove the cube, we need to take the cubic root of both sides
[tex]\sqrt[3]{2} =\sqrt[3]{(x-4)^3} \\\\\sqrt[3]{2} =x-4[/tex]
And the last step to solve for x will be to add 4 to each side
[tex]\sqrt[3]{2} +4=x-4+4\\\\\sqrt[3]{2} +4=x[/tex]
And there is our value for x
a rectangle with sides of length n+2 and n is compared to a square with sides of length n+1, are the two shape equal in perimeter?
Answer:
YES
Step-by-step explanation:
Rectangle: (n)+(n)+(n+2)+(n+2)=4n+4
Square: (n+1)+(n+1)+(n+1)+(n+1)=4n+4
4n+4=4n+4
Yes, they are equal in perimeter.
Answer:
they have equal perimeter.
Step-by-step explanation:
perimeter :-
.Rectangle=2(n+2+n)=2(2n+2)=4(n+1)
Square=4(n+1)
Please Help
The expression (y – 9)2 is equivalent to which expression. Simplify and write in standard form. Show your work.
Answer:
2y-18
Step-by-step explanation:
(y-9)2 -----Distributive property
2*y=2y
2*9=18
=2*y-2*9
=2y-18
Hope this helps ;) ❤❤❤
Answer:
yes
Step-by-step explanation:
I don't understand how to solve this, please help!
Answer:
x+1 , x<-1
x²-bx-4 , -1≤x≤4
1/2 x +a
substitute x=-1 , continuous everywhere
x+1=x²-bx-4 when x=-1
-1+1=-1²-b-4
1+b-4=0 ⇒ +b-3 ⇒ b=3then for :
x²-bx-4=1/2 x +a for x=4
4²-4b-4=1/2x+a
16-4(3)-4=4/2+a
16-12-4-2=a
a=-2the equations will be :
x+1
x²-3x-4
1/2x-2
I hope this help
A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Tourist Information Center is
located at (11,0) and the Bus Station is located at (-1,-10).
The Train Station is located at point
х=
Y=
Given :
The Tourist Information Center is located at (11,0) and the Bus Station is located at (-1,-10).
Also , Tourist Information Center is between a Bus Station and a Train Station.
To Find :
The point of location of train station .
Solution :
Let , point of location of train station is ( x,y ).
We know , mid-point of two points ( a, b) and ( c, d ) is given by :
[tex](\dfrac{a+c}{2},\dfrac{b+d}{2})[/tex] .
Since , Tourist Information Center is between a Bus Station and a Train Station.
So , it is given by :
[tex]( 11 , 0 ) = (\dfrac{-1+x}{2},\dfrac{-10+y}{2})[/tex]
Comparing both coordinate :
[tex]\dfrac{x-1}{2}=11\\\\x=22+1\\\\x=23[/tex]
and
[tex]\dfrac{y-10}{2}=0\\\\y=10[/tex]
Therefore , Train Station is located at point ( 23 , 10 ) .
Hence , this is the required solution .
help please!!!!!!!!!!!!!!!!!!!!!!
Answer:
110,000
Step-by-step explanation:
since it covered 11,000 square miles at a rate of 0.10 miles per hour
11,000 /0.10=110000
Which phrase matches the algebraic expression below?
3(x + 7) + 10
Three times the sum of x and seven plus ten
Three times x plus the sum of seven and ten
Three times x minus seven plus ten
Three times the difference of x and seven plus ten
Answer:
Three times the sum of x and seven plus ten
Step-by-step explanation:
Three times= 3(times)
the sum of x and seven= x+7
plus 10= +10
Use the circle below to answer the following question.
What is the name for E?
Une segment
Point
Ray
Answer:
Point
Step-by-step explanation:
3 thousandths + 2 hundredths is greater, less than or equal to 0.023
Answer:
Equal to
Step-by-step explanation:
I hope this helped
3 thousandths: 0.003
2 hundreths: 0.02
0.003+0.02= 0.023
which is the function represented below
Answer:
f(x)= x + 5
Step-by-step explanation:
The easiest way to find this is by plugging the values for x and f(x) into each equation until you find one where all number fit.
Write an English phrase that would translate into the following mathematical expression.
8(2-6)
Which of the following is equivalent to the expression 8(z - 6)??
Answer:
B. 8 times the difference of a number z and 6
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Translate (z - 6)
z = a number z
- = difference
6 = six
(z - 6) = The difference between a number z and 6
Step 2: Translate 8(z - 6)
(z - 6) = The difference between a number z and 6
Since we are distributing the 8, we are multiplying.
8 times the difference of a number z and 6
Thomas planted a seed and measured the height of the stem each week for four weeks.
• The stem grew 1 inch in the first week
•The stem grew 2 inches each week after the first week.
Which graph represents the growth of this plant?
Helplpppppp
5(5x+1)=25x-7 *
Answer:
25x+5=25x-7.
25x-25x=-7-5.
= -12.
Answer:
No solution.
Step-by-step explanation:
[tex]5(5x+1)=25x-7\\\\25x+5=25x-7\\\\25x+5-5=25x-7-5\\\\25x=25x-12\\\\25x-25x=25x-25x-12\\\\\boxed{0\neq-12}[/tex]
Hope this helps.
is 333/106 rational?
Answer:
No
Step-by-step explanation:
333/106 is actually an irrational number, because it can not be written as a simple fraction.
Answer: Yes it is rational
Any rational number is of the form p/q where p, q are integers. The value of q cannot be 0.
In this case, p = 333 and q = 106.
Negative 2 divided by 9
Answer:
-0.22222222222222
Step-by-step explanation:
hope this helps
You are most likely to encounter an irrational numbers when you’re
Answer:
Taking square-root of numbers
Step-by-step explanation:
The reason is that the square-root of most numbers is an irrational number because the answer we have can not be written as p/q form. For example, if we take the example of √2 then the answer we have is "1.4142135623730950..." which can not be written in p/q form. Hence taking square-root of numbers will most likely give an irrational number.
Answer:
Finding the area of a circle
Step-by-step explanation:
Find F(10) in father function f(x) =-2x+4
Need answers ASAP
HW HELP! Will mark you BRAINLIEST!!
Answer:
16. DF = - 1-(-4) = 3
17. DE = -1/1/3 -(-4)
= - 5/3 + 12/3
= 7 / 3
18. FG = 2-(-1) = 3
19. FH = 3.5 - (-1) = 4.5
20. GH = 3.5 - 2 = 1.5
21. EH = 3.5 -(-1.5) = 5
22. AC = 16
3x + 7 = 16
x = 3
23. AB = x +7
= 10
24. BD = 2x + 3x - 1
=5(3) - 1
=14
25. CE = 3x - 1 + 2x + 3
=5x +2
=17