The relation that is a function is that represented in the fourth graph. y = 2IxI
You must know that for a relation to be a function, there can not be two different values of f (x) for the same value of x.
In other words, if we have two sets P and M.
A function "f" between them is a relation that assigns to each value of the set P a single value of the set M.
To quickly verify when observing a graph it draws vertical lines and if they cut the graph in two points then the relation is not a function because it assigns two different values of f (x) for the same value of x.
By doing this test you will verify that only the fourth image represents the graph of a function.
Which of the following fractions is equivalent to the repeating decimal 0.55555555555...?
A; 5/10
B; 1/2
C; 5/9
D; 55/100
C.
Any number that is over the denominator 9, will be repeating it self.
word form of 53,200.4
The word form of 53,200.4 would be fifty-three thousand, two hundred and four tenths.
Now remember, to say a number in a decimal in word form, you must remember the names for each placement.
.1 the one would be in the tenths
.01 the one would be in the hundredths; and
.001 the one would be in the thousandths.
orange juice is sold in four different sizes the 8 1/2 ounce bottle costs $0.99 the 18 2/2 oz. bottle costs $1.49 the 48 1/4 oz. carton costs $2.49 and the 64 3/4 oz. carton costs $3.75
1.calculate a unit rate for each size
2. which size is the best buy
Answer:
Part 1) The units rates are
A) [tex]0.1165\frac{\$}{oz}[/tex]
B) [tex]0.1656\frac{\$}{oz}[/tex]
C) [tex]0.0516\frac{\$}{oz}[/tex]
D) [tex]0.0579\frac{\$}{oz}[/tex]
Part 2) The best buy is the size 48 1/4 oz
Step-by-step explanation:
we know that
To find out the unit rate divide the total cost by the total volume
Part 1) Calculate the unit rate for each size
case A) we have
8 1/2 ounce bottle costs $0.99
Convert mixed number to an improper fraction
[tex]8\frac{1}{2} =\frac{8*2+1}{2}=\frac{17}{2}\ oz[/tex]
Find the unit rate
[tex]\frac{0.99}{(17/2)}= 0.1165\frac{\$}{oz}[/tex]
case B) we have
18 2/2 oz. bottle costs $1.49
Convert mixed number
[tex]18\frac{2}{2} =18+1=19\ oz[/tex]
Find the unit rate
[tex]\frac{1.49}{19}= 0.1656\frac{\$}{oz}[/tex]
case C) we have
48 1/4 oz. carton costs $2.49
Convert mixed number to an improper fraction
[tex]48\frac{1}{4} =\frac{48*4+1}{4}=\frac{193}{4}\ oz[/tex]
Find the unit rate
[tex]\frac{2.49}{(193/4)}= 0.0516\frac{\$}{oz}[/tex]
case D) we have
64 3/4 oz. carton costs $3.75
Convert mixed number to an improper fraction
[tex]64\frac{3}{4} =\frac{64*4+3}{4}=\frac{259}{4}\ oz[/tex]
Find the unit rate
[tex]\frac{3.75}{(259/4)}= 0.0579\frac{\$}{oz}[/tex]
Part 2) which size is the best buy
we know that
The best buy is the one with the smallest unit rate
so
[tex]0.0516\frac{\$}{oz}[/tex]
The best buy is the size 48 1/4 oz
Answer:Expert's right here WHY U LOOK AT ME
Step-by-step explanation:
Solve the equation. If there is no solution, write no solution. 5|x + 3/4| = 10
i think the answer is 37/20
Solve |2x - 5| = 4. {x | x = -4.5 or x = 4.5} {x | x = 0.5 or x = 4.5} {x | 0.5 < x < 4.5}
Answer:
{x | x = 0.5 or x = 4.5}
Explanation:
Before we begin, remember that:
The modulus gives the positive value of what's inside it.
This means that:
|a| = |-a| = a
Now, for the given, we have:
|2x-5| = 4
From the above rule, we can deduce that:
either:
2x - 5 = 4
2x = 4 + 5 = 9
x = 4.5 ............> first solution
Or:
2x - 5 = -4
2x = 5-4 = 1
x = 0.5 ..........> second solution
Now, we check:
at x = 4.5: |2(4.5)-5| = |9-5| = |4| = 4 ..........> first solution verified
at x = 0.5: |2(0.5)-5| = |1-5| = |-4| = 4 .........> second solution verified
Hope this helps :)
Answer:
{x | x = 0.5 or x = 4.5}
Step-by-step explanation:
A certain bacteria is placed in a jar. Initially, there are 25 bacteria. Every hour, the number of bacteria quadruples. How much bacteria will there be in 6 hours?
Hello!
So, to answer this question we need to note that quadruple = x4
25 (our initial count) x 4 = 100
100 (after one hour) x 4 = 400
400 (after two hours) x 4 = 1600
1600 (after three hours) x 4 = 6400
6400 (after four hours) x 4 = 25600
25600 (after five hours) x 4 = 102400
So to answer your question, after six hours, there will be 102,400 of that bacteria in the jar.
Hope this helps!
Determine the product of 1,8,5,12
Hi,
all of them multiplied together is 480.
1x8=8
8x5=40
40x2=80
Answer: 480
Step-by-step explanation:
Since commutative property can be used for multiplication, rewrite it as:
(1 x 8) x (5 x 12)
= 8 x 60
= 480
x + 6 = x
with steps please
Hello!
[tex]x + 6 = x\\[/tex]
Explanation:
↓↓↓↓↓↓↓↓↓
First you had to subtract by the x from both sides of the equation.
[tex]x+6-x=x-x[/tex]
Then refine.
[tex]6=0[/tex]
Answer⇒⇒⇒⇒⇒The sides are not equal.
Answer⇒⇒⇒⇒⇒⇒There are no solution.
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
could a number ever be both rational and irrational
By definition an irrational number is one that is not rational. Therefore, it is not possible for a number to both rational and irrational.
A local garden club had 14 members with a mean age of 34. Then two new members joined. One was 24 years old, and the other was 36 years old. How did the mean age change after they joined?
Without knowing the ages of all the different members of the club, I believe that the mean would go down due to 24 being an outlier. You generally take the mean by adding up all the numbers and dividing by all the # of given values. Outliers such as 24 would skew the results leaning none way or the other, in this case making it lower than the previous mean.
Answer:it decreased
Step-by-step explanation:
Change 45/1000 to a equivalent fraction
9/200
Find the GCD (or HCF) of numerator and denominator
GCD of 45 and 1000 is 5
Divide both the numerator and denominator by the GCD
45 ÷ 5
1000 ÷ 5
If a and −a are numbers on the number line, which expression MUST give the distance between them?
Answer:
|2a|
Step-by-step explanation:
Note that distance is positive. a less -a comes out to +2a, which is the distance between and -a.
If the complex number x = 3 + bi and |x|^2 = 13, which is a possible value of b?
A. 2
B. 3
C. 9
D. 10
20 points to the brainliest user!!!!
If x=3+bi, then
[tex]|x|=\sqrt{3^2+b^2}.[/tex]
You know that [tex]|x|^2=13,[/tex] then
[tex]\left(\sqrt{3^2+b^2}\right)^2=13,\\ \\ 9+b^2=13,\\ \\b^2=4,\\ \\b=\pm 2.[/tex]
Two possible complex numbers satisfy these conditions:
[tex]x_1=3+2i, \ x_2=3-2i.[/tex]
As you can see the possible value of b is 2.
Answer: correct choice is A.
The possible value of b in the given complex number is 2 (Option A). This is found by using the definition of modulus of a complex number and solving the resulting equation.
Explanation:This question requires understanding of complex numbers and their modulus. A complex number is a number of the form a + bi, where a and b are real numbers and i is the imaginary unit with the property i^2 = -1.
|x|^2 represents the square of the modulus (or absolute value) of the complex number x which is defined as |x|^2 = a^2 + b^2. Given in the question, x = 3 + bi and |x|^2 = 13. Thus, by substitution, we get 13 = 3^2 + b^2.
Performing arithmetic operations, it's equivalent to b^2 = 13 - 3^2 = 4. To solve for b, we take the square root of both sides. Because b can be positive or negative, we get b = ±2. Therefore, from the options given, the possible value of b is 2 (Option A).
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A local hamburger shop sold a combined total of 593 hamburgers and cheeseburgers on Thursday. There were 57 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on thursday
Answer:
325 hamburgers were sold on Thursday.
Step-by-step explanation:
Let h be the number of hamburgers and c be the number of cheeseburgers.
Using this information we can set up two equation as:
[tex]h+c=593\\c=h-57[/tex]
Now we need to solve these two equations to get the value of number of hamburgers. For that we use substitution method as shown below:
[tex]h+h-57=593\\2h-57=593\\2h=650\\h=325[/tex]
Therefore, the number of hamburgers sold on Thursday were 325.
I need help
~~~~~
Hggffv
solve for v in terms of s, t, v. u=-tsv
the answer will be is V=8/t
What is the probability of a sum of 3 or 6 or 9?
which shows the image of quadrilateral ABCD after transformation
need the image to see the answer
evaluate 4 to the power of 3 . (100/25) - 5 to the power of 0
Hey there!!
Remember :-
=> Anything to the power 0, is always one.
In the question, is states at the last that the final answer is powered with zero.
Hence, the required answer is "1".
Hope my answer helps!!
yesterday grace drove 28 1/2 miles she used 1/4 gallons of gasoline.what is the unit rate for miles per gallon
MPG= 30 4/5 or 30.8 is I think is the answer.
Answer:
[tex]unit\ rate=114 \frac{miles}{gallon}[/tex]
Step-by-step explanation:
Hello, I think I can help you with this
remember some properties of mixed numbers
[tex]a\frac{b}{c}=\frac{(a*c)+b}{c}\\ example\\3\frac{1}{5}= \frac{(3*5)+1}{5}=\frac{16}{5}\\[/tex]
Step 1
covert 28 1/2
a=28
b=1
c=2
[tex]a\frac{b}{c}=\frac{(a*c)+b}{c}\\28\frac{1}{2}= \frac{(28*2)+1}{2}=\frac{57}{2}=28.5\\[/tex]
Hence, the distance she drove is 28.5 miles
Step 2
find the number of gallons
[tex]\frac{1}{4}=0.25[/tex]
then, she used 0.25 gallons to travel 28.5 miles
Step 3
find the unit rate for miles per gallon
[tex]unit\ rate=\frac{number\ of\ miles}{number\ of\ gallons}\\ unit\ rate=\frac{28.5\ miles}{0.25\ gallons}\\unit\ rate=114 \frac{miles}{gallon}[/tex]
Have a great day.
Consider the system of equations. Which is the Best method to use for solving the system? 4x+y=1 2x+y=8
Answer: It is best solve using elimination method
Step-by-step explanation:
4x + y = 1 --------(1)
2x + y = 8---------(2)
subtract (2) from (1)
2x = -7
divide bothside by 2
2x/2 = -7/2
x= -7/2
we can substitute x = -7/2 in any of the equations.
Lets take equation (1)
4x + y = 1
4(-7/2) + y =1
2(-7) + y = 1
-14 + y = 1
y = 1+14
y =15
Naya needed to buy boxes of cupcakes for a party.Naya had $60 to spend on the boxes of cupcakes which were each $12.How many boxes can Naya buy for the party?
Naya has $60. Each box of cupcakes costs $12.
60÷12=5
Naya can buy 5 boxes of cupcakes.
Write an expression that shows how to use the halving and doubling strategy to find 28x50
Write an expression that shows how to use the halving and doubling strategy to find 28x50
Halving strategy means we divide by 2
Doubling strategy means we multiply by 2
We apply halving strategy for 28 and doubling strategy for 50
Half of 28 is 14
Double of 50 is 100
So 14 * 100 = 1400
Now we check with 28 * 50
28 x 50 = 1400
So required expression is
[tex]\frac{28}{2} * (50*2)[/tex]
Complete the ratio table to show ratios equivalent to 16:10. The blank parts are what's missing. Thank you
2 8
36 9 72
The ratio table is completed by finding values that are equivalent to the ratio 16:10, which simplifies to 8:5. The corresponding values are calculated by setting up proportions based on the original ratio.
Explanation:To complete the ratio table that shows ratios equivalent to 16:10, we first understand that the ratio can be simplified to 8:5 by dividing both terms by 2.
We can use this simplified ratio to find missing values in the table.
For the row with 2 in the first column, the second column should be 2 times 5/8 (since 8:5 is equivalent to 16:10) to maintain the ratio equivalency.
This gives us the value 2*(5/8)=1.25.
In the row where the second column is 36, we need to determine the equivalent in the first column.
We set up the proportion 8/5=x/36, and solving for x gives us 8*(36/5)=57.6.
The last row given is 72 in the second column.
To find the corresponding first column value, we use the ratio 8/5=x/72 and solve for x to find 8*(72/5)=115.2.
The filled in ratio table should look like this:
2 : 1.2557.6 : 36115.2 : 723.2c + 1.7 = 24.1'
c=
3.2c+1.7=24.1
First subtract 1.7 from both sides
3.2c=22.4
Now divide both sides by 3.2
c=7
Now put it in the equation.
3.2(7)+1.7=24.1
3.2c + 1.7 = 24.1'
c = (24.1 - 1.7) : 3.2
c = 22.4 : 3.2
c = 7
Somebody help!!!! Please
f(x) = (x - 4 )(x - 6) = 0
because you can see when each factor is equal to zero
x - 4 = 0 ⇒ x = 4
x - 6 = 0 ⇒ x = 6
[tex]4y + 8 = 2[/tex]
[tex]4y+8=2\qquad|\text{subtract 8 from both sides}\\\\4y=-6\qquad|\text{divide both sides by 4}\\\\y=-\dfrac{6}{4}\\\\\boxed{y=-\dfrac{3}{2}\to y=-1.5}[/tex]
Hello there!
[tex]4y+8=2[/tex]
Explanation:
↓↓↓↓↓↓
First you had to subtract by 8 from both sides of the equations.
[tex]4y+8-8=2-8[/tex]
Simplify
[tex]4y=-6[/tex]
Then you divide by 4 from both sides of the equations.
[tex]\frac{4y}{4}=\frac{-6}{4}[/tex]
Simplify it should be the correct answer.
[tex]y=-\frac{3}{2}[/tex]
Answer⇒⇒⇒⇒⇒y=-3/2
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
If Fernando paid $450 for a netbook that was 75% off the original price what was the original price?
the original price was $1800 because if you multiple 1800 by 75 percent you get 1350 and 1800 - 1350 is equal to 450 your sale price
What is -35,840-(-14,764)
If the measure of angle ABF=6x+26 and the measure of angle EBF=2x9 and measure of angle ABE= 11x-31 find the measure of angle ABF
Its not clearly given that whether EBF = 2x + 9 or 2x - 9.
I have written the solution for both.
If EBF = 2x + 9,
then ABF = 6x + 26 and ABE = 11x - 31.
Now, ABE = ABF + EBF
11x - 31 = (6x + 26) + (2x + 9)
= (6x + 2x) + (26 + 9)
= 8x + 35
11x - 8x = 35 + 31
3x = 66
x = 22
Therefore, ABF = 6x + 26 = 6(22) + 26 = 132 + 26 = 158°
If EBF = 2x - 9,
then ABF = 6x + 26 and ABE = 11x - 31.
Now, ABE = ABF + EBF
11x - 31 = (6x + 26) + (2x - 9)
= (6x + 2x) + (26 - 9)
= 8x + 17
11x - 8x = 17 + 31
3x = 48
x = 16
Therefore, ABF = 6x + 26 = 6(16) + 26 = 96 + 26 = 122°
The expression for angle ABF: ABF = 6x + 26 = 6(16) + 26 = 96 + 26 = 122°
What is the angleFrom the question: If EBF = 2x + 9, then ABF = 6x + 26 and ABE = 11x - 31.
When, ABE = ABF + EBF
11x - 31 = (6x + 26) + (2x + 9)
= (6x + 2x) + (26 + 9)
= 8x + 35
11x - 8x = 35 + 31
3x = 66
x = 22
Hence, ABF = 6x + 26 = 6(22) + 26 = 132 + 26 = 158°
When EBF = 2x - 9,
So, ABF = 6x + 26 and ABE = 11x - 31.
When, ABE = ABF + EBF
11x - 31 = (6x + 26) + (2x - 9)
= (6x + 2x) + (26 - 9)
= 8x + 17
11x - 8x = 17 + 31
3x = 48
x = 16
So, ABF = 6x + 26 = 6(16) + 26 = 96 + 26 = 122°
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