What is the domain for the function ?
( - ∞, ∞ )
f(x) is defined for all real values of x
On a number line, the distance from zero to -13 is 13 units.
Which equation demonstrates this concept?
A.
132 = 169
B.
|-13| = 13
C.
|-13| = -13
D.
0 + 13 = 13
Which operation should be performed first in the expression 5+7÷7×4−17?
Multiplication and division have the same precedence, binding tighter than addition and subtraction. Among operators with the same precedence we go left to right.
So the first operation to do is division. ÷
PEDMAS notwithstanding if your expression depends on the details of the left to right rules, you're better off adding parenthesis to make things clearer.
I'd really appreciate it if anyone could help! :) I'll give Brainliest!
Which graph represents y=⌈x⌉ over the domain −4 ≤ x ≤ −1 ?
Answer is B ! Good luck bro
The domain of a graph is the set of input values the graph can take.
The graph that represents y = [x] over the domain -4≤x≤-1 is the 1st graph.
The domain is given as:
[tex]\mathbf{-4 \le x \le -1}[/tex]
The inequalities at -4 and -1 are both "less than or equal to"
In inequalities, "less than or equal to" is represented by a closed circle
This means that, the circles at x = -4 and x =-1 on the graph must be a closed circle.
From the given options, we have the following observations
Graph 1 has closed circles at x =-4 and x = -1Graph 2 (beside graph 1) has a closed circle at x =-4 and an open circle x = -1Graph 3 (under graph 1) ends at x = -1, with an open circleGraph 4 has a closed circle at x =-4 and an open circle x = -1Hence, the graph that represents y = [x] over the domain -4≤x≤-1 is the 1st graph.
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Tony ran laps around a track to raise money for a hospital. Tony raised $15 plus $1.50 per lap that he ran. He raised a total of $255.00. Let x represent the number of laps tony ran. What expression completes the equation to determine the total number of laps tony ran? How many laps did tony run?
____?____ = 255
__?____ laps
I believe the answer for this question would $be:
$15+$1.50 = $16.50
$25 / $16.50 = 15.45
I believe that he ran 15 - 15.5 laps.
Kylie has a modern quarter with a mass of 5.623g and an older silver quarter with a mass of 6.24g. What is the combined mass of the quarters?
Answer: The combined mass of the quarters is 11.863 g.
Step-by-step explanation:
1. You have the following information given in the problem above:
- The mass of the modern quarter is 5.623 g.
- The mass of the older silver quarter is 6.24 g.
2. Therefore, to calculate the combined mass of the quarters, you only need to add the mass of the modern quarter (5.623 g) and the mass of the older silver quarter is (6.24 g), as you can see below:
Let's call the combined mass of the quarters [tex]x[/tex]. Then:
[tex]x=5.623g+6.24g\\x=11.863g[/tex]
Answer:
11.863 g
Step-by-step explanation:
because if you add those 2 numbers then it will give you 11.863 g
How to write algebraic expressions Three times the sum of a number and twelve?
Is 5000 cm greater than or less than or equal to 5 m
Answer:
greater than or >
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Alex bought six books priced at $8 each. He got a discount of 20% off the total cost. How much did alex pay for the books? Write your answer up to two decimal places. Alex paid $ for the books.
Answer:
$38.40
Step-by-step explanation:
It is right on Plato
James measured his hand it was 0.17meter jennifer measure d her hand it was 0.165 whose hand is bigger
James hand is bigger because when you compare decimals you make sure that there's an equal amount of numbers so 0.17 becomes 0.170 and 0.165 stays the same so James's hand is bigger
given that (2,8) is on the graph of f(x),find the corresponding point for the function -3/4 f(x)
The corresponding point on the graph of the function -3/4 f(x) when given that (2,8) is on the graph of f(x) is (2, -6), achieved by scaling the y-value by a factor of -3/4.
Explanation:The question involves finding the corresponding point on the graph of the function -3/4 f(x) given that (2,8) is on the graph of f(x). Since f(x) at x=2 is 8, for the new function -3/4 f(x) at the same x value, the y value will be scaled by a factor of -3/4.
Therefore, we calculate the new y value by multiplying 8 by -3/4, which results in -6. The corresponding point on the graph of the function -3/4 f(x) when x=2 is therefore (2, -6).
1. Scientists estimate the rate of the wildebeest running at full speed to be 66 feet per second. Write a function rule to describe the relationship between the time, t, and the distance ,d, a wildebeest travels when running at full speed.(1 point)
a. t = 66d
b. 66 = d • t
c. d = 66/t
d. d = 66t
2. Identify the function rule shown in the table. (1 point)
n 3 4 5 6
y 2 1 0 -1
a. y = 2 + n
b. y = 5n
c. y = 5 - n
d. not enough information
3. Rico made a function table to illustrate the rate he charges for mowing lawns. Complete the table. Then write a function rule for the function. (1 point) ( ) = blank
Hours (h) 1 2 3 4 5
Earnings (E) ( ) ( ) ( ) $22.00 $27.50
a. $5.75, $11.50, $17.25; E = 5.75h
b. $6.00, $12.00, $18.00; E = 6.00h
c. $5.25, $10.50, $15.75; E = 5.25h
d. $5.50, $11.00, $16.50; E = 5.50h
4. A DVD store charges $4.70 for each day, d, a DVD is rented. The store also gives you a dollar off if the DVD is returned before 5 days.
1. Write a rule to represent the rental charges C.
2. How much will you pay if you return the DVD after 4 days? 7 days?
a. c = 4.70d; $18.00, $32.90
b. if d ≤ 5 then c = 4.70d, if d > 5 then C = 4.70d + 1; $17.80, $31.90
c. if d ≥ 5 then C = 4.70, if d < 5 then C = 4.70d - 1; $17.80, $32.90
d. if d ≤ then C = 4.70d, if d > 5 then C = 4.70d - 1; 18.80, $31.90
5. Write a rule for the function represented by the table. (1 point)
Input (x) 0 1 2 3 4
Output (y) 3 6 9 12 15
a. y = 3x
b. y = 3x + 3
c. y = 5x + 1
d. y = x + 5
6. (I know the answer)
7. Use the function rule to complete the table -10x + y = 4 (3 points)
( ) = blank
x -2 -1 0 1 2
y ( ) ( ) ( ) ( ) ( )
8. Find the function rule. (2 points)
x -2 -1 0 1 2
y 9 4 -1 -6 -11
1. d. d = 66t
The maximum speed of the wildebeest is v=66 ft/s. Speed is defined as the ratio between the distance covered (d) and the time taken (t):
[tex]v=\frac{d}{t}[/tex]
Re-arranging the formula, we get
[tex]d=vt[/tex]
And substituting v=66 ft/s, we find
[tex]d=66t[/tex]
2. c. y = 5 - n
In fact, we can check that this rule satisfies all the numbers of the sequence:
n=3 --> y = 5 - 3 = 2
n=4 --> y = 5 - 4 = 1
n=5 --> y = 5 - 5 = 0
n=6 --> y = 5 - 6 = -1
3. d. $5.50, $11.00, $16.50; E = 5.50h
In fact, if we use the rule E=5.50 h, we see that the table is completed as follows:
h=1 --> E=(5.50)(1 h)=5.50$
h=2 --> E=(5.50)(2 h)=11.00 $
h=3 --> E=(5.50)(3 h)=16.50$
h=4 --> E=(5.50)(4 h)=22.00$
h=5 --> E=(5.50)(5 h)=27.50$
4. c. if d ≥ 5 then C = 4.70d, if d < 5 then C = 4.70d - 1; $17.80, $32.90
If the number of days is more than 5, the cost is 4.70$ per day, therefore c=4.70d (where d is the number of days); if the number of days is less than 5, one dollar is returned, so the cost will be C=4.70d-1. By applying this rule, we can calculate the rental cost after d=4 days and d=7 days:
- d=4 --> c=4.70*4-1=17.80$
- d=7 --> c=4.70*7=32.90$
5. b. y = 3x + 3
In fact, we can check this is the correct rule by substituting the numbers:
x=0 --> y=3*0+3=3
x=1 --> y=3*1+3=6
x=2 --> y=3*2+3=9
x=3 --> y=3*3+3=12
x=4 --> y=3*4+3=15
7. x -2 -1 0 1 2
y (-16 ) (-6 ) (4 ) (14 ) (24 )
The rule we have to apply is:
-10x + y = 4
Re-arranging it, we can solve for y:
y = 10x + 4
So, let's substitute the different values of x:
x=-2 --> 10*(-2)+4=-20+4= -16
x=-1 --> 10*(-1)+4=-10+4= -6
x=0 --> 10*0+4= 4
x=1 --> 10*1+4=10+4= 14
x=2 --> 10*2 +4 =20+4 = 24
8. y = -5x - 1
In fact, if substitute the different values of x given by the problem, we find:
x = -2 --> y = -5*(-2) -1= 10 -1 = 9
x = -1 --> y = -5*(-1) -1 = 5 -1 = 4
x = 0 --> y = -5*0 -1 = -1
x = 1 --> y = -5*1 - 1 = -6
x = 2 --> y = -5*2 -1 = -11
Answer:
1) D
2) C
3) D
4) C
5) B
6) B
Step-by-step explanation:
5 is no greater than 4 times a number x minus 2.5
Answer : The expression for the given statement is [tex]5\leq 4x-2.5[/tex]
Step-by-step explanation :
We are given a statement:
5 is no greater than 4 times a number x minus 2.5
'no greater than' in the above statement means [tex]\leq[/tex].
'minus' in the above statement means subtraction operation.
'times' in the above statement means multiplication operation.
Thus, the expression for the given statement is [tex]5\leq 4x-2.5[/tex]
The value of 'x' will be,
[tex]5\leq 4x-2.5\\\\\5+2.5\leq 4x\\\\7.5\leq 4x\\\\x\geq 1.875[/tex]
We want to write the given statement as an inequality, and then solve it.
The inequality is: 5 ≤ 4*x - 2.5
The solution is: 1.875 ≤ x
The given statement is:
"5 is not greater than 4 times a number x minus 2.5"
The "5 is not greater than..." is written as:
5 ≤
So 5 is smaller than or equal to the thing at the right.
The complete inequality will be:
5 ≤ 4*x - 2.5
Now to solve this, we start by adding 2.5 in both sides:
5 + 2.5 ≤ 4*x
7.5 ≤ 4*x
Now dividing both sides by 4 we get:
7.5/4 ≤ x
1.875 ≤ x
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Pennsylvania has a land area of 44,816 square miles. What is the land area of Pennsylvania rounded to the nearest hundered?
The land area of Pennsylvania is 44,816 square miles. Rounding it to the nearest hundred gives us 44,800 square miles.
Explanation:The land area of Pennsylvania is 44,816 square miles. To round this number to the nearest hundred, we look at the digit in the hundreds place. The digit in the hundreds place is 4, so we keep the 4 and change all the digits to the right of it to zeros. Therefore, the land area of Pennsylvania rounded to the nearest hundred is 44,800 square miles.
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At the movie theatre, child admission is $6.00 and adult admission is $9.90 . On Saturday, 155 tickets were sold for a total sales of $1312.20 . How many child tickets were sold that day?
Final answer:
Using a system of linear equations, it was determined that 57 child tickets were sold at the movie theatre when 155 tickets were sold for a total of $1312.20.
Explanation:
To determine how many child tickets were sold at the movie theatre when 155 tickets were sold for a total of $1312.20, we can set up a system of linear equations. Let's define C as the number of child tickets and A as the number of adult tickets. We know that child admission is $6.00 and adult admission is $9.90.
The first equation represents the total number of tickets sold:
C + A = 155
The second equation represents the total sales:
6C + 9.9A = 1312.20
To solve this system, we can use either substitution or elimination. Here, we'll go with substitution:
From the first equation, express A in terms of C:So, 57 child tickets were sold that day.
Which number is prime? 36 37 35 38
A number is prime if its only divisors are 1 and the number itself.
Out of your numbers, 36 and 38 are even, and thus divisible by 2, so they aren't prime.
Similarly, 35 ends with 5, so it's divisible by 5, and is not prime.
37 is divisible only by 1 and 37, and thus it's prime.
Out of the numbers listed (36, 37, 35, 38), the number 37 is the only prime number, as it is the only number that has no positive divisors other than 1 and itself.
The question asks which of the listed numbers is a prime number. A prime number is a number greater than 1 that has no positive divisors other than 1 and itself. Therefore, we need to determine if any of the numbers given (36, 37, 35, 38) have divisors other than 1 and themselves.
36 is divisible by 1, 2, 3, 4, 6, 9, 12, 18, and 36, so it is not a prime number.
37 has no divisors other than 1 and itself, making it the prime number in the list.
35 is divisible by 1, 5, 7, and 35, so it is not a prime number.
38 is divisible by 1, 2, 19, and 38, so it is not a prime number.
Therefore, the number 37 is the only prime number from the list provided.
If 4x+y= z solve for x.
Here is the equation:
[tex]4x+y=z[/tex]
You need to find x. To do that, the variable must be alone on one side. On the right side, you have:
[tex]4x+y[/tex]
To leave 4x by itself, you need to remove y by doing the opposite sign of it. Since it's +y, you need to -y(subtract y) from both sides.
[tex]4x+y-y = z-y \\ 4x=z-y[/tex]
Now the variable is alone. You have 4x and you need to find x alone. To do that, you need to divide both sides by 4.
[tex]\frac{4x}{4} = \frac{z-y}{4}[/tex]
Your answer is:
[tex]x = \frac{z-y}{4}\ \checkmark[/tex]
If you have any questions, feel free to ask! :)
Mrs. Barnett's recipe for zucchini bread calls for 31/2 cups of sugar and 4 eggs. She wants to make 6 batches so hat he has enough for everyone. How much sugar will she need?
Reasonable or unreasonable 9/10 - 2/5 = 1 3/10
Please help asap 32 pts
x - number of miles
[tex]0.19x+75\geq100\qquad|\text{subtract 75 from both sides}\\\\0.19x\geq25\qquad|\text{divide both sides by 0.19}\\\\x\geq132[/tex]
Answer: d) x ≥ 132Please help and show work!!
17.
x = -2 is not a solution of -1 < x < 5 because -2 < -1 (-1 < -2 < 5 FALSE).
18.
m = 5 is a solution of 5 ≤ m because 5 ≤ 5 ( 5 ≤ m → m ≥ 5 greater than 5 or equal 5, 5 is equal 5)
19.
k = 10 is not solution of 2k - 3 < 1 because:
put the value of k to the inequality:
2(10) - 3 < 1
20 - 3 < 1
17 < 1 FALSE
In the basketball some baskets are worth two points others are worth three points in one game the ratio of three point baskets to three point tries for one team was 2:7 if the team scored 30 points from three point baskets how many three point tries did the team have ?
Let [tex] b [/tex] be the number of three points baskets, and [tex] t [/tex] be the number of three points tries. We are given
[tex] \dfrac{b}{t} = \dfrac{2}{7} \iff 2t=7b [/tex]
Also, we know that the team scored 30 points from three points baskest. Since these baskest are worth 3 points, we have
[tex] 3b=30 \iff b = 10 [/tex]
Now, we also know that [tex] 2t=7b [/tex]. If we plug the known value for b, we can solve for t:
[tex] 2t = 7\cdot 10 \iff 2t = 70 \iff t = 35 [/tex]
when a car travels a distance of d kilometers in time t hours, the average speed for the journey is given by a =4/t km h^-1. find:
a. the average speed of a car which travels 200km in 2 1/2 hours.
b. the distance travelled by a car in 3 1/4 hours if its average speed is 80 km h^-1.
c. the time taken, to the nearest minute, for a car to travel 865 km at an average speed of 110 km h^-1
speed=d/t=200X2/5=80km/hr
d=sXt=13X80/4=260km
865/110=173/22hr=173X60/22=173X30/11=467min
What reasoning can be used for the following: Premise: If the sides of a triangle are all 4 cm, then the triangle is equilateral.
Premise The triangle is equilateral
Conclusion The sides of the triangle are 4 cm. A. Not valid premise
B.Law of Detachment
C. A. Conclusion does not follow the premise
D.Law of Syllogism,
We are given statements : Premise: If the sides of a triangle are all 4 cm, then the triangle is equilateral.
Premise: The triangle is equilateral.
According to law of Detachment : Statement 1: If q, then q.
and Statement 2: p
Conclusion: q.
According to given reasoning :
p : If the sides of a triangle are all 4 cm.
q : Then the triangle is equilateral.
Therefore, Statement 1 : If( the sides of a triangle are all 4 cm), then (the triangle is equilateral).
Statement 2: (the triangle is equilateral).
Conclusion : The sides of the triangle are 4 cm.
Therefore, option B is correct "Law of Detachment".
Please help me understand how to find the range! I have a test tomorrow and I don’t understand. :(
For #30, we did it in class, but is that the right answer? Please check. (Range) I don’t understand WHY or how it’s the range. Why 50 is included.
Range represents all of the y-values possible for the function.
What is the highest point on the graph? The coordinate is (2, 50) so the y-value of the highest point is 50.
What is the lowest point on the graph? there isn't one because it continues downward to infinity.
Range: (-∞, 50]
I hope this helped!
What graph represents the inequality y≥2−2x?
Graph of a solid line on a coordinate plane. The horizontal x axis ranges from negative 5 to 5 in increments of 1. The vertical y axis ranges from negative 5 to 5 in increments of 1. A solid line passes through begin ordered pair 0 comma negative 2 end ordered pair and begin ordered pair 1 comma 0 end ordered pair. The region above the solid line is shaded.
Graph of a dashed line on a coordinate plane. The horizontal x axis ranges from negative 5 to 5 in increments of 1. The vertical y axis ranges from negative 5 to 5 in increments of 1. A dashed line passes through begin ordered pair 1 comma 0 end ordered pair and begin ordered pair 0 comma 2 end ordered pair. The region above the dashed line is shaded.
Graph of a dashed line on a coordinate plane. The horizontal x axis ranges from negative 5 to 5 in increments of 1. The vertical y axis ranges from negative 5 to 5 in increments of 1. A dashed line passes through begin ordered pair 0 comma negative 2 end ordered pair and begin ordered pair 1 comma 0 end ordered pair. The region above the dashed line is shaded.
Graph of a solid line on a coordinate plane. The horizontal x axis ranges from negative 5 to 5 in increments of 1. The vertical y axis ranges from negative 5 to 5 in increments of 1. A solid line passes through begin ordered pair 1 comma 0 end ordered pair and begin ordered pair 0 comma 2 end ordered pair. The region above the solid line is shaded.
Answer:
The given function is
y≥2-2x
Writing this inequality in equation form and then in slope intercept form
[tex]y=2-2x\\\\2x+y=2\\\\\frac{2x}{2}+\frac{y}{2}=1\\\\ \frac{x}{1}+\frac{y}{2}=1[/tex]
Option D
Graph of a solid line on a coordinate plane. The horizontal x axis ranges from negative 5 to 5 in increments of 1. The vertical y axis ranges from negative 5 to 5 in increments of 1. A solid line passes through begin ordered pair 1 comma 0 end ordered pair and begin ordered pair 0 comma 2 end ordered pair. The region above the solid line is shaded.
The correct representation of the inequality y≥2−2x is: Graph of a solid line on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 in increments of 1. The vertical y-axis ranges from negative 5 to 5 in increments of 1. A solid line passes through the ordered pair (0, -2) and (1, 0). The region above the solid line is shaded.
In mathematics and data visualization, a graph is a visual representation of data or mathematical relationships. It typically consists of points (nodes or vertices) connected by lines or curves (edges) that show relationships or connections between the points. Graphs are used to represent various data structures and relationships, such as in graph theory, network analysis, and data plotting.
This representation correctly shows a solid line (not dashed) and shades the region above the line, which indicates the solution to the inequality y ≥ 2 − 2x.
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An appliance-delivery truck contains a total of 6 refrigerators and dishwashers, and their total weight is 1300 pounds. Refrigerators weigh 250 pounds and dishwashers weigh 150 pounds. How many of each type of appliance are on the truck?
4 refrigerators = 1000
2 dishwashers = 300
add em up to 1300
What is the measure of ∠K?
The value of the measure of ∠K is,
⇒ ∠K = 46°
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In triangle JKL,
⇒ ∠J = 101°
⇒ ∠L = 33°
Now, We know that;
⇒ ∠J + ∠K + ∠L= 180°
⇒ 101° + ∠K + 33° = 180°
⇒ ∠K + 134° = 180°
⇒ ∠K = 180 - 134
⇒ ∠K = 46°
Thus, The value of the measure of ∠K is,
⇒ ∠K = 46°
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Isaiah sells shoes in a department store. He earns a weekly salary or $320 plus a commission of 3% on all of his sales. Last week his sales were $2,672. How much did he earn ?
Answer: Isaiah earned $400.16
Step-by-step explanation:
1. You have that Isaiah earns a weekly salary of $320 and a comission of 3% on all of his sales and the last week this sales were $2,672.
2. Therefore, to solve this problem you must caculate the 3% of $2,672 and add this result to his weekly salary, as following:
[tex](2,672)(0.03)=80.16[/tex] dollars
[tex]320+80.16=400.16[/tex] dollars
Each day of the month carl earns an allowance in cents equal to the square of that date of the month.Which is a number of cents carl could earn in a single day
Final answer:
Carl's daily allowance is the square of the date, resulting in amounts that are perfect square numbers like 1, 4, 9, or 100 cents, depending on the day of the month.
Explanation:
Carl earns an allowance in cents equal to the square of the date of the month. Therefore, the number of cents Carl could earn on any given day is the date squared. For example, on the 2nd day of the month, he would earn 22 or 4 cents, and on the 10th day, he would earn 102 or 100 cents. So, any perfect square (1, 4, 9, 16, 25, 36, ... up to the largest square number within a given month) can be an amount Carl earns in a single day.