o is the value of m i think
Given f(x) = x2 - 10x + 22, what is the domain of f
The domain of function f (x) = x² - 10x + 22 is, (-∞, ∞).
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The function is,
⇒ f (x) = x² - 10x + 22
Now, We know that;
Domain of a function is defined as a set of value for which the value of function is real and defined.
Here, There is no points for x where the function f(x) is non defined.
Hence, Whole number line is the domain for the given function.
So, The domain of function f (x) = x² - 10x + 22 is, (-∞, ∞).
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Solve the equation 3x-7=x+23
Answer:
x = 15
Step-by-step explanation:
3x-7=x+23
Subtract x from each side
3x-x-7=x-x+23
2x -7 = 23
Add 7 to each side
2x-7+7 = 23+7
2x = 30
Divide by 2
2x/2 = 30/2
x = 15
Answer:
x=15
Step-by-step explanation:
3x-x=23+7
2x=30 divide by 2
x=15
Use the distributive property: (5x - 3y + 4)6
Answer:
30x - 18y + 24
Step-by-step explanation:
When the distributive property is in play, you multiply all the numbers in the parenthesis by the number that's right next to it. In this case, you're multiplying 6 to all of the numbers in the paranthesis (5x - 3y +4).
Given f(x) = -x + 2, find f(0)
Step-by-step explanation:
Using the f(x) defined in the question,
f(0) = -(0) + 2 = 2.
A=1/2(B+C-D) SOLVE FOR B
Answer:
B = 2A - C + DStep-by-step explanation:
A = ¹/₂(B + C - D)
×2 ×2
2A = B + C - D
-C+D -C+D
2A - C + D = B
help ASAP!!
i need help finding out the pattern of 3 and 4
Answer:
See below.
Step-by-step explanation:
For 3, we have:
1, 3, 6, ___, 15, 21, _____, 36, _______
Let's try to determine the pattern. From 1 to 3, we added 2.
From 3 to 6, we added 3.
So, it seems that the fourth term would be to add 4, and then add 5. Let's try it:
6+4=10
10+5=15.
So, it seems we're correct. So, we will add 6, then 7, and then 8, etc. Therefore, our correct sequence would be:
1 (+2), 3 (+3), 6 (+4), 10 (+5), 15 (+6), 21 (+7), 28 (+8), 36 (+9), 45
For 4, we have:
100, _____, 64, ______, 36, 25, _______
Notice that these all are perfect squares. 10 squared is 100, 8 squared is 64, etc. Thus, we can rewrite this as:
10², _____, 8², ______, 6², 5², ______
Therefore, our blanks would be:
10², 9², 8², 7², 6², 5², 4².
Evaluated, this woul be:
100, 81, 64, 49, 36, 25, 16.
And we're done!
You have 20 gallons of roof coating to apply to the roof of a mobile home that is 16 feet wide. Twenty gallons covers 760 to 1000 square feet. Find the interval for the length of x that you will cover before you need to buy more roof coating.
Area = length x width.
Divide the two total areas by the width to find the lengths:
760/16 = 47.5
1000/16 = 62.5
The interval is:
47.5<= x <= 6.5
The interval for the length of x that you will cover before you need to buy more roof coating will be 47.5 ≤ x ≤ 6.5.
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.The space occupied by any two-dimensional figure in a plane is called the area.
Given that you have 20 gallons of roof coating to apply to the roof of a mobile home that is 16 feet wide. Twenty gallons covers 760 to 1000 square feet.
The formula to calculate the area of the
Area = length x width.
Divide the two total areas by the width to find the lengths:
760/16 = 47.5
1000/16 = 62.5
The interval is:
47.5 ≤ x ≤ 6.5
Therefore, the interval will be 47.5 ≤ x ≤ 6.5.
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What is the image of (-12,-3) after a dilation by a scale factor of 1/3 centered at the origin?
Answer:
(-4, -1)
Step-by-step explanation:
Multiply both coordinates by 1/3 which is the same as dividing by 3.
Answer: (-4, -1)
The length of a rectangular field is 45 ft greater than its width, w ft. how much fencing is needed to enclose the field and divide it into two parts as shown?
Answer:
Length of fencing needed = 4x + 45
Step-by-step explanation:
Assume;
Width of rectangle = x
So,
Length of rectangle = x + 45
Find:
Length of fencing needed
Computation:
Length of fencing needed = 2(l+b) + b
Length of fencing needed = 2(x+45+x) + x
Length of fencing needed = 2(2x+45) + x
Length of fencing needed = 4x + 45
Joe is making key chains with beads. He wants each key chain to have the same number of beads. He has 90 blue beads and 72 yellow beads. What is the highest amount of key chains he can make?
Answer:1.25
Step-by-step explanation:90/72
Joe can make 9 key chains to have the same number of beads with 90 blue beads and 72 yellow beads.
What are HCF and distributive property?The HCF of two or more than two numbers is the highest number that divides the given two numbers completely.
Joe wants each key chain to have the same number of beads.
∴ HCF of 72 and 90 is 18
Now with those 18 beads 9 each type he can make (90 + 72)/18 key chains.
= 162/18.
= 9 key chains.
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Multiply (6 − 7i)(3 − 6i).
Answer:
-24 - 57i
Step-by-step explanation:
i'm assuming that this is a question about imaginary numbers and that i²= -1
we can expand the binomial by using the FOIL method (see attached)
(6 − 7i)(3 − 6i)
= (6)(3) + (6)(-6i) + (-7i)(3) + (-7i)(-6i)
=18 - 36i - 21i + 42i² (recall that i²= -1)
= 18 - 57i + 42(-1)
= 18 - 57i - 42
= -24 - 57i
14- =5+4
SECOND GRADE MATH HELP PLS
Answer:
5
Step-by-step explanation:
14, 13, 12, 11, 10, 9.
5+4 = 9
Answer:
5
Step-by-step explanation:
You're given 14 - [something] = 5 + 4.
You can start out by making sure you understand what you see.
If fourteen minus a number equals five plus four, you can start out by adding five and four together, right?
And you can figure out that 5 + 4 = 9.
So now, the question is just asking you to find a number such that when you subtract it from 14, you get 9:
14 - [something] = 9
Now you can just think about this. Fourteen minus what equals 9?
You can just count down: 14, 13, 12, 11, 10, 9. You counted down five times to get to 9, so the missing number is 5.
Or, you can also think like this:
You know that 10 is just one more than 9.
14 - 4 = 10. So 14 minus what is 9? 14 - 5 = 9 It has to be 5!
PLS HELP
what would be an appropriate level for the dependent variable on this graph?
Answer:
Y-axis = scoops sold
X-axis = month
6. Which units do we use when calculating the perimeter? (select all that
apply)
-millimetres
-kilogram
-metres
-centimetres
-kilometres
Answer:
The perimeter is a distance so all length units apply
● millimeters
● meters
● centimeters
if x=7+4√3,find the value of √x+¹/√x
PLEASE HELP, Find the slope of the following lines :D
help on absolute value!
Answer:
9
Step-by-step explanation:
we have
[tex]|\frac{27}{-3}|\\\\=|-9|[/tex]
and absolute value of -9 is 9
so answer is 9
Owen follows the rule "divide by 2" to write the pattern below . He will write two more numbers to complete the pattern. Which statement is true? 800,400,200,100,_____
Answer:
50,25
Step-by-step explanation:
you continue to divide by 2 so 100/2 is 50 then 50/2 is 25
What minus 5 equals 14
Answer:
19
Step-by-step explanation:
All you have to do is add 14 to 5 to find out x-5=14
please helppppppppppppppppppppppppppp
Answer:
Each friend will need to contribute $20
Step-by-step explanation:
For the problem regarding the equally distributed cost per friend to rent a go-cart track, we can simply use the following eqaution:
Cost per friend = Total cost / # of friends
We are given that the Total cost is $100 and that there are 5 friends. So let's plug this into the equation to find the cost per friend (Assuming each friend is paying an equal amount):
Cost per friend = Total cost / # of friends
Cost per friend = $100 / 5
Cost per friend = $20
Hence, each friend will need to contribute $20.
Cheers.
please help with the following maths question
Answer:
120 degrees
Step-by-step explanation:
Regular hexagon means all the sides are equal
(6-2)(180)=The sum of interior angles of hexagon
=>720 degree
Therefore each angle=720/number of sides
=720/6=120 degree
So let the marked angle in figure be 'x'
And the adjacent equal angles to x, y
So y+y+x=360 [Angle around point=360]
2y+x=360 [but y=120 degree proved]
240+x=360
x=120
Answer:
the answer is 120 degrees- i dont feel like typing everything out about how i got it but ik thats the answer.
Step-by-step explanation:
Corinna has $72. She wants to buy a $281 plane ticket. She will save up her earnings from working at the museum where she earns $19 per hour. Which inequality shows the number of hours, n, Corinna must work so that she has a total of at least $281? A. n ≥ 11 B. n ≤ 10 C. n ≥ 10 D. n ≤ 11
Answer:the correct answer is b
Step-by-step explanation:
1 gallon is around 3.8 liters. State this as a ratio of liters to gallons, in the form a:b. Give your answer in simplest form
The ratio of liters to gallons in simplest form is 5 : 19.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, 1 gallon is around 3.8 liters.
So, The ratio of liters to gallons in a : b form is 1 : 3.8
Or, 10 : 38,
Or 5 : 19.
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A computer had 2 gigabytes of data stored on it when Jackie bought it, and she is storing an additional 3.5 gigabytes per year, as shown in the table below. Which of these statements is correct about the linear function that represents this situation? Amount of Data Stored on Jackie’s Computer Time (year) 0 1 2 3 4 Gigabytes of Data 2 2 + 3.5 = 5.5 5.5 + 3.5 = 9 9 + 3.5 = 12.5 12.5 + 3.5 = 16 The initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing. The initial value represents the 2 gigabytes per year that Jackie is storing, and the rate of change represents the 3.5 gigabytes of data stored on the computer when Jackie bought it. The initial value represents the 3.5 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 2 gigabytes per year that Jackie is storing. The initial value represents the 3.5 gigabytes per year that Jackie is storing, and the rate of change represents the 2 gigabytes of data stored on the computer when Jackie bought it. Mark this and return
Answer:The initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing.
The statement first is correct because 2GB represents the initial data and in the second term 3.5GB represents the rate of change of data per year.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
Initial data when Jackie bought = 2 gigabytes
Rate of change of data per year:
[tex]\rm\frac{dB}{dt} = 3.5[/tex]
We can frame a linear function such that:
[tex]\rm y = 2 + n(\frac{dB}{dt})[/tex]
[tex]\rm y = 2 + 3.5n[/tex]
Where y represents the total data stored at n years.
And n represents the [tex]\rm n^{th}[/tex] year
When n = 0 then y = 2 (initial data when Jakie bought it)
When n = 1 then y = 5.5 (after one year the amount of data Jakie's computer has)
Term 2 represents the initial data and term 3.5 represents the rate of change of data per year.
Therefore, the initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing.
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Find the missing angles with reasons.
Answer:
C and D
Step-by-step explanation:
C) C = [360 - 148(2)] divide 2
= 32 degrees
Explanation: 148 and C is an opposite angle so the angles oppose to it has the same value
D) h = 76
Explanation: opposite angles
I = 76
Explanation: transverse angles
j = [360 - 76x2] divide 2
= 104 degrees
Explanation: same as C
Hope this helps!
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Answer:
A
Step-by-step explanation:
the other options have a common difference
Answer:
A is not arithmetic series
Step-by-step explanation:
In B,C and D there is arithmetic series as a2-a1=a3-a2
In A. there is no such series.....
Mara found the length of time of an investment. The principal of the investment was $4,300, the interest rate was 6.2 percent, and the interest was $2,666. Mara made an error in her work. I = p r t. 2666 = (4300) (0.062) t. 2666 = (266.6) t. StartFraction 266.6 over 2666 EndFraction = t. 0.1 = t. What was Mara’s error?
Answer: Maria did not divide correctly
Step-by-step explanation:
Answer:
Maria did not divide correctly
Step-by-step explanation:
factorise 7a + 14b + ax + 2bx
Answer:
Step-by-step explanation:
7(a + 2b) + x(a + 2b)
(7 + x)(a + 2b)
Answer:
(7 + x)(a + 2b) This is most simplified it can be
If the square root of a number is equal to twice the same number what is the number?
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
let the number be x , then
[tex]\sqrt{x}[/tex] = 2x ( square both sides )
x = (2x)² = 4x² ( subtract x from both sides )
4x² - x = 0 ( factor out x from each term )
x(4x - 1) = 0
Equate each factor to zero and solve for x
x = 0
4x - 1 = 0 ⇒ 4x = 1 ⇒ x = [tex]\frac{1}{4}[/tex]
Assuming x > 0 then the number is [tex]\frac{1}{4}[/tex]
As a check
[tex]\sqrt{\frac{1}{4} }[/tex] = [tex]\frac{1}{2}[/tex] and 2 × [tex]\frac{1}{4}[/tex] = [tex]\frac{1}{2}[/tex]
Which phrase matches the algebraic expression below? (1 point) 3(x − 7) + 10 Three times the sum of x and seven plus ten Three times x minus seven plus ten Three times x minus the sum of seven and ten Three times the difference of x and seven plus ten
Answer:Three times the difference of x and seven plus ten
Step-by-step explanation: