Answer:
the third answer
Step-by-step explanation:
+9 is for range.
(x-7) is for domain. when u take out -7 outside the bracket, it becomes positive
The domain of the function f(x) = √(x - 7) + 9 is all real numbers greater than or equal to 7.
The range of the function f(x) is all real numbers greater than or equal to 9.
Option C is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = √(x - 7) + 9
The domain of a function is the set of all possible input values for which the function is defined.
In this case, since the function involves taking the square root of a quantity, we must have that the argument of the square root is non-negative, that is:
x - 7 ≥ 0
Solving for x, we get:
x ≥ 7
The domain of the function f(x) = √(x - 7) + 9 is all real numbers greater than or equal to 7.
Now,
The range of a function is the set of all possible output values that the function can take.
In this case, we can see that the square root term will always be non-negative, so the minimum value of the function occurs when the square root term is zero, that is, when x = 7.
In that case, we have:
f(7) = √(7 - 7) + 9 = 9
As x increases beyond 7, the square root term increases and the value of the function increases as well, without bound.
The range of the function f(x) is all real numbers greater than or equal to 9.
Thus,
The domain of the function f(x) = √(x - 7) + 9 is all real numbers greater than or equal to 7.
The range of the function f(x) is all real numbers greater than or equal to 9.
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In each figure below, find m1 and m2 if a||b. Show your work with statements.
Answer:
∠ 1 = 130°, ∠ 2 = 50°
Step-by-step explanation:
∠ 1 and 130° are alternate angles and congruent, so
∠ 1 = 130°
∠ 2 and 130° are same- side interior angles and are supplementary, so
∠ 2 + 130° = 180° ( subtract 130° from both sides )
∠ 2 = 50°
Answer: it is 130 and 50
Step-by-step explanation: Honestly, they already gave one angle so it is a HUGE giveaway. 180-130 is 50, so the answers are 130 and 50.
PLEASE HELP ME URGENT what is the answer
By visual inspection, determine the best-fitting regression model for the
scatterplot
X
5
-10
A. Linear
B. Quadratic
C. Exponential
D. No pattern
Answer:linear
Step-by-step explanation:
it is a straight line
The best-fitting regression model for the scatterplot is linear. Thus, the correct answer is an option (A).
As per the given figure, the data points on a scatterplot, with the dependent variable (y-axis) plotted against the independent variable (x-axis).
Looking at the general pattern of the data points on the scatterplot.
Here, they follow a roughly linear trend.
This means that the data points roughly form a straight line or a curve that looks like a straight line.
Thus, the best-fitting regression model for the scatterplot is linear.
Hence, the correct answer is option (A).
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Ron and amber bought a pizza, Ron ate 3/10 of the pizza, Amber ate 1/10 of the pizza. Together, which fraction of the pizza did they eat?
A. 1/5
B. 1/3
C. 1/4
D. 3/100
E. 2/5
Answer:
E
Step-by-step explanation:
3/10 + 1/10 = 4/10
simplify 4/10
4/2 and 10/2
ANSWER = 2/5
The average commute times for employees of a large company is 23 minutes.
The commute time of 12 employees are
25, 33, 26, 29, 17, 29, 42, 19, 15, 52, 11, and 14.
Enter the sample mean and the population mean in the boxes.
x¯ =
min
μ =
min
Answer:
x¯ = 26 min
μ = 23 min
Step-by-step explanation:
I took the test and these were the answers.
find the unit rate for each graph.
i need an answer FAST!!!
Answer:
1 row for 13 charts
Step-by-step explanation:
2 rows/26charts=1row/13charts
Answer:
Step-by-step explanation:
1 row for 13 charts like he said
If the area of trapezoid is 100 cm, what is the perimeter of the trapezoid?
Answer:
Step-by-step explanation:
If the area of trapezoid is 100 cm²what is the perimeter of the trapezoid?
Area of a trapezoid = 100cm
= 1/2(a + b) × h = 100cm²
Perimeter of a trapezoid = a + b + h
The dimensions of one of the sails on a sailboat are 9 feet, 12 feet, and 15 feet. Is the sail a right triangle?
Answer:
yes
Step-by-step explanation:
Using the converse of Pythagoras' identity
If the square of the longest side is equal to the sum of the squares of the other 2 sides then the triangle is right.
longest side = 15 , then 15² = 225
9² + 12² = 81 + 144 = 225
Thus the sail is a right triangle.
PLEASE HELP ALGEBRA 1
Answer:
d. 4.41
Step-by-step explanation:
cos(51)=x/7
cos(51)*7=x
x=4.405242 round up to 4.41
what is the asymptote of the exponential function y=3^x-3
A. y=3
B. y= -3
C. x=3
D. x= -3
7,10,3 how do I find the least common multiple
Answer:
Step-by-step explanation:
Usually you do it by factoring into primes. But this choice of numbers has no common primes, so all three make up the LCM
7 * 10 * 3
210 = LCM
LCM of 4 10 and 12
4: 2 * 2
10: 2 * 5
12: 2*2*3
LCM: 2 * 2 * 3 * 5 = 60
If you don't find the LCM then the answer would be 480
Answer:
210
Step-by-step explanation:
When finding the LCM(least common multiple) you need to factor each number into the product of prime number also called finding the prime factorization. Both 7 and 3 are prime, so they do not need to be factored further. However, 10 can be factored into 5 x 2.
3 - 3
7 - 7
10 - 5 x 2
By looking at the factors above, you notice none of them are the same, so none of the numbers share factors. This means you can just multiply all the factors to get the LCM:
3 x 7 x 5 x 2
210
What is the nth term rule of the linear sequence below?
13,7,1, -5, -11,...
Tn =
DO
Tn =
Answer:
[tex]T _{n} = a + (n - 1)d \\ T _{n} = 13 + (n - 1) \times - 6 \\ T _{n} = 13 - 6(n - 1) \\ T _{n} = 13 + 6(1 - n)[/tex]
How many odd numbers are greater than 30 and
less than 40?
Answer:
5 odd numberis there 31,33,35,37,39
Five odd numbers are greater than 30 and less than 40 .
What is odd number?
Odd numbers are those that cannot be evenly divided by two. It cannot be evenly split into two different integers. An odd number will leave a reminder when divided by two. 1, 3, 5, 7 are example of odd numbers.
How many odd number lies between 30 and 40?The odd number between 30 and 40 are 31,33,35,37,39.
Therefore, total number of odd numbers which are greater than 30 and less than 40 are 5.
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How would you find the missing value? 15/4=5/x
15(4) = 5x
15(x) = 5(4)
15 14 =5+x
Using the intersecting chord theorem you multiply the two lengths of one line together to equal the multiplication of the two dimensions on the second line.
The answer would be 15(4) = 5x
Noah says, "If I try to write 100 expanded, it should have zero factors that are 10, so it must be equal to 0." Do you agree? Why or why not?
Answer:
Disagree
Step-by-step explanation:
10^0
According to the laws of indices, anything raised to the power of 0 will equate to 1. Therefore, based on this established mathematical principle, Noah's assertion about 10^0 being equal to 0 is false.
Hence, I disagree.
Find an equivalent fraction for the decimal number. In your final answer, include all of your work.
___
0. 901
Answer:
901/1000
hope this helps
have a good day :)
Step-by-step explanation:
What is the surface area of a right rectangular prism with the dimensions 4 m by 3 m by 10 m
Please just let me know what the measure of angle x is.
Given:
[tex]m\angle PQS=90^\circ,m\angle PQR=57^\circ,m\angle RQS=x^\circ[/tex].
To find:
The value of x.
Solution:
From the given figure, it is clear that the angle PQS is a right angle.
[tex]m\angle PQS=m\angle PQR+m\angle RQS[/tex]
[tex]90^\circ=57^\circ+x^\circ[/tex]
[tex]90^\circ-57^\circ=x^\circ[/tex]
[tex]33^\circ=x^\circ[/tex]
Therefore, the value of x is 33 degrees.
Karen has a cube that has a side length of 6 in. The net of the cube is shown.
What is the surface area of the cube?
A 36 square inches
B 144 square inches
C 180 square inches
D 216 square inches
Answer:
C. 180 square inchesStep-by-step explanation:
#carry on learning #mark brainlitsRound 1379842 to the nearest 1000
Answer: I think 1000 sorry if I’m wrong have a great day!
Step-by-step explanation: 1,379,842 = 1000
pls help me, it's due in 15 mins brainilist will be given!!
Answer:
I tiz6ez7zr7zrf7xf ohch8gcg IS C
A lenght of wire is bent to make a square of side 3.2 cm a: what is the length of wire in the square B: if the wire is silver costing 50 naira per centimetre what is the cost of the square C: 20 of the squares are linked together to make a necklace what does it cost to make the necklace
Answer:
12.8cm
640 naira
12,800 naira
Step-by-step explanation:
length of the wire is equal to the perimeter of a square
perimeter of a square = 4 x length
4 x 3.2 = 12.8 inches
cost of the square = length of the wire x 50
12,8 x 50 = 640
20 x 640 = 12800
Delta furnishings received an invoice dated may 10 for a shipment of goods received june 21. The invoice was for a $8400.00 less 33 1/3 % and 12 1/2% with terms 3/20, R.O.G. How much must Delta pay on july 9 to reduce its debt (a) by $2000, (b) to $2000?
Answer:
The right solution is:
(a) $1,940
(b) $2,813
Step-by-step explanation:
Given:
Invoice amount
= $8,400
Discount 1
= 33.33%
Discount 2
= 12.5%
So,
The net payable amount will be:
= [tex]8400\times [1 - \frac{100}{300} ]\times [1 - \frac{12.5}{100} ][/tex]
= [tex]8400\times \frac{2}{3}\times 0.875[/tex]
= [tex]4900[/tex] ($)
Now,
(a)
Amount paid will be:
= [tex]2000\times 0.97[/tex]
= [tex]1940[/tex] ($)
Balance still to be paid will be:
= [tex]4900-2000[/tex]
= [tex]2900[/tex] ($)
(b)
Amount paid will be:
= [tex](4900- 2000)\times 0.97[/tex]
= [tex]2900\times 0.97[/tex]
= [tex]2813[/tex] ($)
Balance still to be paid will be:
= [tex]2000[/tex] ($)
Thus the above solution is the appropriate one.
An angle measures 44° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
One angle is 46° and the other angle is 44°
Step-by-step explanation:
Complementary angle means the angles add up to 90 so:
90 - 44 = 46
Please help will Mark brainliest
Answer:
well it is explained here
Step-by-step explanation:
copy, paste download file open and expination is here
check in the comments
Use r = 2 and r = 5 to determine if the two expressions are equivalent. r + 4(2 + r) – 12 8 + 2r – 6
Answer:
No they are not equivalent
Step-by-step explanation:
The given expressions are r + 4(2 + r) – 12, and 8 + 2r – 6
Let us first put r= 2 in the above expression
2+4(2+2)-12= 6
and 8+2(2)-6 = 6
Now let us put r=5 in the above two expressions
5+4(2+5)-12 = 21
similarly, 8+2(5)-6 = 12
Clearly, the two expressions are not equivalent when we put r=2 and r=5 as the values coming are different.
Answer:
the first expression is 6.
the second expression is 12.
they are NOT equivalent.
hope this helps!! have a nice day/night
Is the function below linear or non linear? y = 5 + 3(x-4)
Answer:
Linear
Step-by-step explanation:
The rule is that linear equations must have exponents of 1 (a sloped line) or 0 A verticle or horizontal line). This function can be simplified to
y = 3x - 12 + 5 = 3x - 7 which is the standard form of a linear equation
y - mx + b where m is the slope and m is the y intercept.
Writing a linear equations
Answer:
y=4/15x
Step-by-step explanation:
The equation of a straight line is given by:
y = mx + b
Where m is the slope of the line,
b is the y-intercept
it passes trough point (0;0) ⇒ b=0 ⇒ y=mx
it passes trough point (7.5;2) ⇒ 2=7.5m ⇒ m=2/7.5=4/15
y=4/15x
Best answer with step by step explanation will get brainliest answer..pls help me with question
Answer:
Option (3)
Step-by-step explanation:
Given expression is,
[tex]\frac{2^3\times 125^\frac{2}{3}\times 81^\frac{3}{4}}{8^\frac{1}{3}\times 9\times 5^2}[/tex]
To solve the given expression we will apply the law of exponents,
[tex]\frac{2^3\times 125^\frac{2}{3}\times 81^\frac{3}{4}}{8^\frac{1}{3}\times 9\times 5^2}=\frac{2^3\times (5^3)^\frac{2}{3}\times (3^4)^\frac{3}{4}}{(2^3)^\frac{1}{3}\times (3^2)\times 5^2}[/tex]
[tex]=\frac{2^3\times (5^{3\times \frac{2}{3}})\times (3^{4\times \frac{3}{4}})}{(2^{3\times \frac{1}{3}})\times (3^2)\times 5^2}[/tex]
[tex]=\frac{2^3\times 5^2\times 3^3}{2\times 3^2\times 5^2}[/tex]
[tex]=\frac{2^3}{2}\times (\frac{5^2}{5^2})\times (\frac{3^3}{3^2})[/tex]
[tex]=2^{3-1}\times (1)\times 3^{3-2}[/tex]
[tex]=2^2\times 1\times 3[/tex]
[tex]=12[/tex]
Therefore, Option (3) will be the correct option.
A room is 90 inches wide, and 145 inches long. What is the perimeter of the room?
Answer:
I think 50
Step-by-step explanation:
Answer:
470 inches
Step-by-step explanation:
p = 2l + 2w
p = 2*145 + 2*90
p = 290 + 180
p = 470