If f(x)= 1/2x-10+3, which inequality can be used to find the domain of f(x)?
Answers
Answer:
x ≠ 5
Step-by-step explanation:
Assuming you mean f(x) = (1/(2x-10))+3
Please be careful with how ambigiuous your question can appear with the / sign.
The domain is the set of values that can be used as an input.
In this case the only input we have that could cause problem is if the denominator of the fraction is 0, because then we divide by 0 which is not allowed.
This gives us 2x-10 ≠ 0
2x ≠ 10
x ≠ 5
The domain of the function is given by the inequality ( 1/2 )x - 10 ≥ 0 and the value of x ≥ 20
What are domain and range?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = [ √ ( 1/2 )x - 10 ] + 3
Now , the expression (1/2)x - 10 inside the square root must be greater than or equal to 0, as the square root of a negative number is not defined in the real number system.
(1/2)x - 10 ≥ 0
To solve this inequality, we can isolate x:
(1/2)x ≥ 10
x ≥ 20
Hence , the domain of the function f(x) is x ≥ 20.
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The complete question is attached below :
If f(x)= 1/2x-10+3, which inequality can be used to find the domain of f(x)?
Related Questions
Is the line through points P(2,-9) and Q(6, -13) perpendicular to the line through points R(5,-1) and
S(1,-5)?
Answers
Two lines [tex]y_1,y_2[/tex] are perpendicular if their slopes are in a relation [tex]m_1=-\frac{1}{m_2}[/tex].
So we need to find slopes and if the above relation holds then we can claim the lines are perpendicular.
To find slopes, use slope formula
[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]
The first slope of a line passing through [tex]PQ[/tex] is
[tex]m_1=\frac{-13-(-9)}{6-2}=\frac{-4}{4}=-1[/tex]
The second slope of a line passing through [tex]RS[/tex] is
[tex]m_2=\frac{-1-(-5)}{5-1}=\frac{4}{4}=1[/tex]
Now check if [tex]m_1=-\frac{1}{m_2}[/tex] is true
[tex]-1=-\frac{1}{1}\implies -1=-1[/tex]
This means the two lines are perpendicular.
Hope this helps.
100POINTS! EXPLAIN YOUR ANSWER OR I REPORT
Answers
Answer:
linear pair61°Step-by-step explanation:
to understand thisyou need to know about:vertical angleequationPEMDAStips and formulas:A linear pair is two angles that are adjacent and whose non-common sides form a straight linelinear pair contains 180°given:[tex]m\angle 1 [/tex]let's solve:[tex]\text{m$\angle$ 2 is linear pair with$\angle$ 1}[/tex]
[tex] \text{according \: to \: the \: question}[/tex]
[tex] \sf 119 + m\angle 2 = 180 \\ \sf m \angle 2 = 180 - 119 \\ \sf m \angle2= 61[/tex]
Answer:
Linear pair
61°
Step-by-step explanation:
Let's verify
See 1 and 2 angles lie in one lineSo they are supplementary and linear pairm<2
180-11961°j < –0.65 The variable in the inequality is .
Answers
Answer:
NO SE PERO LOS AMO A TODOS CHIKISTRIKIS
Step-by-step explanation:
SORRY NO SPEAK ENGLISH
To eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? First equation: 6x -5y = 17 Second equation: 7x + 3y = 11 The first equation should be multiplied by 3 and the second equation by -5. The first equation should be multiplied by 3 and the second equation by 5. The first equation should be multiplied by 7 and the second equation by -6. The first equation should be multiplied by 7 and the second equation by 6.
Answers
Answer:
its c
Step-by-step explanation:
i did the test
The first equation should be multiplied by 7 and the second equation by -6. The correct option is C.
What is an expression?In mathematics, an expression is a group of symbols (variables, constants, and mathematical operations) used to represent a quantity or a relationship between two numbers.
In order to eliminate the x terms and find y in the fewest steps feasible, the equations should be multiplied by constants such that the coefficient of x in one equation is equal to the negative coefficient of x in the other.
The coefficients of x in the first and second equations in this situation are 6 and 7, respectively. To make these coefficients opposite in sign, we can multiply the first equation by 7 and the second equation by -6.
The correct solution is obtained by multiplying the first equation by 7 and the second equation by -6.
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How many terms are in this expression?
-1 - 8a²b?
Answers
Answer:
2 terms
Step-by-step explanation:
2
Hope this helps :)))))
This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Multi-Step A court reporter types 1.5 words per second.
Part A
Graph the relationship, where x is the time in seconds and y is the number of words typed.
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I need help please?!!!
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A garden is made up of flowers and shrubs in the ratio 6:11. If there are 48 flowers in your garden, how many shrubs are there?
The answer, please ASAP
Answers
Answer:
Step-by-step explanation:
que tu hablas español¿
quater of 80? its for my maths, thanks xx
Answers
explanation
20*4= 80
hope i helped!
Quarter of 80:
= 80 x 1/4
= 80/4
= 20
HELP IM BEING TIMED ON THIS
Answers
Answer:
im pretty sure its 1
Step-by-step explanation:
Answer:
the answer is (3 4)
Step-by-step explanation:
what slope equation is parallel to y=5x-10
Answers
Answer:
y = 5x + (anything except negative 10)
For example:
y = 5x + 5
Step-by-step explanation:
A parallel equation is any equation with the same slope, but a different y intercept. As long as your y intercept isn't - 10, your answer will be parallel.
What is the decay factor that corresponds to a 99% decrease?
Answers
Answer:
It's D. 0.01
Step-by-step explanation:
Took the test
What is the ratio of x to y?
5x = 6y
Answers
Answer:
6:5
Step-by-step explanation:
Divide both sides by y . ⇒5xy=6y y. ⇒5xy=6. Divide both sides by 5 . ⇒5 x5 y=65. ⇒xy=65. ⇒x:y=6:5.
The ratio between x and y, when 5x = 6y, is 6:5.
Given is an equation 5x = 6y, we need to find the ratio between x and y,
To determine the ratio of x to y in the equation 5x = 6y, we need to isolate one of the variables and express it in terms of the other.
Let's isolate x:
5x = 6y
Divide both sides of the equation by 5:
x = (6y) / 5
Now we have an expression for x in terms of y. The ratio of x to y can be represented as:
x/y = (6y) / (5y)
The y terms cancel out:
x/y = 6/5
Therefore, the ratio of x to y is 6:5.
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3
The teacher estimated that she would have 68 students this school year. She actually had 74.
What is the percent error?
A 2.08%
B
6%
8.11%
D 191.89%
Answers
Answer:
c
Step-by-step explanation:
si hay 3/4 de nieve de chocolate y vainilla el resto y el resto de es de fresa qué fracción total de la nieve es de fresa?
Answers
La fraccio total de nieve de fresa es de ¼.
Solve:
Three less than the product of eight thirds and nine.
Pls HELP ME
Answers
Answer:
21Step-by-step explanation:
Product of eight thirds and nine:
8/3×9 = 24Three less than the product of eight thirds and nine:
24 - 3 = 21Quik Call charges 18¢ per minute for long-distance calls. Econo Phone totals your phone usage each month and rounds the number of minutes up to the nearest 15 minutes. It then charges $7.90 per hour of phone usage, dividing this charge into 15-minute segments if you used less than a full hour. If your office makes 5 hours 3 minutes worth of calls this month using the company with the lower price, how much will these calls cost?
Answers
Answer:
158? I am not really sure because I am in fifth grade, but I think it may be correct.
Suppose that 60% of students live in AnyTown. Find the probability that:
Round to three decimals.
A) Exactly 5 out of 10 randomly chosen students live in AnyTown
B) More than 5 students out of 10 live in AnyTown
C) The first AnyTown resident you find is the 5th person you ask
Answers
Answer:
Step-by-step explanation:
A.
5 chose 10 = 10*9*8*7*6/1/2/3/4/5 = 252
252 * (0.6)^5 * (0.4)^5 = 0.201
B.
6C10 * (0.6)^6 * (0.4)^4 + ... 10C10(0.6)^10 = 0.633
C.
(0.4)^4*0.6 = 0.015
I used a tutor for this and the answer I was given is 17.5. Which is incorrect. I am trying to understand how to solve.
Answers
You use soh cah toa for this
You label the sides
Hypotenuse - which is the side opposite the right angle
Opposite- which is the side opposite the angle given
Adjacent - the left over side
In this case the opposite doesn’t have any values so we are going to cross it out
We are using CAH
Put this into your calculator : Cos(73)x6
Cos(73)x6 = 1.754230228
The answer is 1.8 to 1 decimal place
Answer:
A right angle is 90 degree
Step-by-step explanation:
73 -90 degrees is 17 degrees. A right angle, shown is at 90 degrees
True or False: Since negative numbers are just numbers, then doing the same thing to each side of an equation works for negative numbers as well.
Answers
Answer:
I believe it's true
Step-by-step explanation:
I hope this helps
Len has 3 strips of construction paper. Each strip is the same size and a different color-red, yellow, and pink. He tapes the strips together to make a rectangle. Then Len divides the rectangle into sixths so that each sixth is one color. What fraction other than 1/3 names the part of the rectangle that is red?
Answers
Answer:
2/6
Step-by-step explanation:
Each of the rectangle strips are taped together to form a rectangle. Therefore 1 of the third of the rectangle would be red, this means that 1/3 of the rectangle would be red color. The rectangle is then divide into sixths, this can be achieved by dividing each of the taped strip into 2.
Therefore 2 of the sixths rectangle would be red in color, Hence the fraction of the rectangle that would be red is given as 2/6
The width of rectangle is the length minus 2 units. the area of the rectangle is 48 units. What is the width, units, of the rectangle?
Answers
Answer:
6
Step-by-step explanation:
W=L-2
A=L*W
48=L(L-2)
48=L^2-2L
You factor and then you get L=8
W=8-2=6
Select the number(s) that make the inequality true,
Select all that apply.
m > 0
A.0.
B.1
c.2
D.3
E.-1
Answers
Answer:
A and E
Step-by-step explanation:
To help plan the number of meals to be prepared in a college cafeteria, a survey was conducted, and the following data were obtained.
132 students ate breakfast.
183 students ate lunch.
273 students ate dinner.
69 students ate breakfast and lunch.
113 students ate breakfast and dinner.
95 students ate lunch and dinner.
55 students ate all three meals.
How many students ate
(a) At least one meal in the cafeteria?
students
(b) Exactly one meal in the cafeteria?
students
(c) Only dinner in the cafeteria?
students
(d) Exactly two meals in the cafeteria?
students
Answers
Answer:
920 Students
Step-by-step explanation:
Add all of the meals together
Please dont judge me if i get this wrong this is why i joined brainly i don´t know nothing
A number b is at least - 3.
Answers
Answer:
-3 ≥ b is your inequality
Step-by-step explanation:
If you are graphing it on a number line, the circle over -3 is filled in, and the arrow goes to the right
Multiply the sum 5 and 3 and the sum of 8 and 9
Answers
Answer:
8 x 17 = 136 give me brainliest
Step-by-step explanation:
Enter a phrase for the expression. 49s
Answers
Is the graph increasing, decreasing, or constant?
O A. Constant
O B. Increasing
C. Decreasing
Answers
Answer:
increasing according to me
Step-by-step explanation:
..
63 Avec un octogone
e
E
Dans la figure ci-dessous, ABCD est un carré de côté
12 cm et les segments de même longueur sont codés.
А
В 8.
DN M C
1. Justifier que les triangles API, JBK, ODN et MCL sont
des triangles égaux.
2. Calculer JK puis dire si l'octogone est un
octogone régulier
3. Calculer l'aire Un octogone regulier
de l'octogone
est un polygone à 8 côtés
IJKLMNOP
dont tous les côtés sont
de même longueur.
4.Les diagonales
du carré ABCD se coupent en S.
Construire la figure en vraie grandeur et tracer le
cercle de centre S et de diamètre 12 cm.
5.Le disque de centre S et de diamètre 12 cm a-t-il
une aire supérieure à l'aire de l'octogone? Justifier
la réponse.
D'après DNB Métropole, 2010
Prisen
Answers
Answer:
sorry
Step-by-step explanation:
I don't know ........
4a^2 - 8a = 24. I need help with this
Answers
The answer is a=3.646