to test the points, substitute the x-coordinate into the equation and if the value of y equals the y-coordinate then the point lies on the graph
(0, [tex]\frac{1}{2}[/tex]) → y = 0 + [tex]\frac{3}{4}[/tex] = [tex]\frac{3}{4}[/tex] ≠ [tex]\frac{1}{2}[/tex]
(0 , [tex]\frac{3}{4}[/tex]) → y = [tex]\frac{3}{4}[/tex] ← on graph
([tex]\frac{3}{4}[/tex], 0) → y = [tex]\frac{3}{8}[/tex] + [tex]\frac{3}{4}[/tex] ≠ 0
([tex]\frac{3}{4}[/tex],[tex]\frac{1}{2}[/tex] → y = [tex]\frac{3}{8}[/tex] + [tex]\frac{3}{4}[/tex] ≠ [tex]\frac{1}{2}[/tex]
([tex]\frac{1}{2}[/tex], 1) → y = [tex]\frac{1}{4}[/tex] + [tex]\frac{3}{4}[/tex] = 1 ← on graph
the points (0, [tex]\frac{3}{4}[/tex]) and ([tex]\frac{1}{2}[/tex], 1) are on the graph
The points that are contained in the graph of the straight line y = (1/2)x + 3/4 are (0,3/4) and (1/2,1).
What is an equation?An equation describes that both sides of the variables and constants are in different forms but they are equal.
To determine if each given point is contained in the graph of the equation Y = (1/2)x + 3/4 we will put the values of x in the equation and determine the corresponding value of y.
When x = 0, y = (3/4).
When x = (3/4), y = 9/8.
When x = 1/2, y = 1.
So, the points that are contained in the graph Y = (1/2)x + 3/4 are (0,3/4), (1/2,1).
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A store is selling candy for $8 for 16 bags. How much will it cost if you need to have 84 bags?
Romona is asked to draw a tree using a scale of 1 inch 3 meters she drwas a 4 inch tree how tall is the tree
1 inch : 3 meters
x 4 x 4
4 inch : 12 meters
Answer: 12 meters
Mary bought a soft drink for three dollars and eight candy bars. She spent a total of nineteen dollars. How much did each candy bar cost?
Yuri has 36 crayons he gives 12 to carl yuri wants to know how many crayons are left
I'd really appreciate it if anyone could help! :) I'll give Brainliest!
Which graph represents the piecewise-defined function?
Answer:
The upper right hand corner
Step-by-step explanation:
One big clue to this is to note how the inequalities are x < 0 and x >= 2 so there is a gap of x values that are left out (x = 1 for instance). There will be NO graph points at all for any values in this gap. The only graph with such a gap is the upper right hand corner. So that is why this is the answer.
Another reason is that y = (-4/5)x-3 is a line that goes through (0,-3). Plug in x =0 and you'll get y = -3 when you simplify. There is an open hole here due to "x < 0". So x cannot actually equal zero for this part. At the same time, plug in x = 2 into the second piece and you get y = -4 as a result. So (2,-4) is on the second graph as a closed hole. The upper right hand corner has both of these points in the proper location.
To multiply two fractions, multiply the numerator by the and the denominator by the .
You must multiply the numerators and denominations of each fraction
Hope this helped. If there is anything else l can help with, just let me know!
To multiply two fractions, multiply the numerator by the numerator and the denominator by the denominator.
A fraction can be defined as a numerical quantity that isn't a whole number.
Hence, a fraction is simply a part of a whole number.
Generally, a fraction comprises two (2) main parts and these include:
Numerator: this is the upper part of a fraction.Denominator: this refers to the lower part of a fraction.Mathematically, a fraction is represented as:
[tex]Fraction \;A = \frac{1}{2} \\\\Fraction \;B = \frac{2}{3}[/tex]
In order to multiply the two fraction, we would multiply the numerator by the numerator and the denominator by the denominator:
[tex]Fraction \;A \times Fraction \;B = \frac{1}{2} \times \frac{2}{3} \\\\Fraction \;A \times Fraction \;B = \frac{1\times 2}{2 \times 3} \\\\Fraction \;A \times Fraction \;B = \frac{2}{6} \\\\Fraction \;A \times Fraction \;B = \frac{1}{3}[/tex]
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How do you convert 5 1/3 to an improper fraction
To convert 5 1/3 to an improper fraction, multiply the whole number part by the denominator and then add the numerator.
Explanation:To convert the mixed number 5 1/3 to an improper fraction, you need to multiply the whole number part (5) by the denominator of the fraction part (3), and then add the numerator of the fraction part (1). The result becomes the numerator of the improper fraction, and the denominator remains the same. So, 5 1/3 as an improper fraction is 16/3.
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HELP giving BRAINLIEST !!!!
One question before I give my answer , Where did it say she stopped?
Answer:
ohhhh cool i go to the same school
Step-by-step explanation:
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!
A cleaning company charges x dollars per hour to clean floors and y dollars per hour to clean the rest of a house.
• When the company spends 2 hours to clean floors and 3 hours to clean the rest of a house, the total charge is $80.
• When the company spends 1 hour to clean floors and 4 hours to clean the rest of a house, the total charge is $100.
Which ordered pair represents the hourly charges to clean floors and to clean the rest of the house?
A) (2, 12)
B) (4, 24)
C) (12, 2)
D) (24, 4)
The answer is b. I see you got it. You are welcome.
A line goes through the points (-6, -8) and (12, 7).
a) What is the slope of the line? Show your work
b) Write the equation of the line in point-slope form. Show your work
c) Write the equation of the line in slope-intercept form. Show your work.
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have (-6, -8), (12, 7).
Substitute:
[tex]m=\dfrac{7-(-8)}{12-(-6)}=\dfrac{7+8}{12+6}=\dfrac{15}{18}=\dfrac{5}{6}[/tex]
The slope-point form:
[tex]y-y_1=m(x-x_1)[/tex]
We have m = 5/6 and (12, 7).
Substitute:
[tex]y-7=\dfrac{5}{6}(x-12)[/tex]
The slope-intercept form:
[tex]y=mx+b[/tex]
[tex]y-7=\dfrac{5}{6}(x-12)\\\\y-7=\dfrac{5}{6}x-\dfrac{5}{6}\cdot12}\\\\y-7=\dfrac{5}{6}x-\dfrac{5}{1}\cdot2\\\\y-7=\dfrac{5}{6}x-10\qquad|+7\\\\y=\dfrac{5}{6}x-3[/tex]
(3√5)2 i got 45 bit my calculator says 15. ?
What is the number between 6,534 and 6,565
If you don't specify any restrinction on that number, there actally are infinitely many: real number are dense, which means that you can always find infinitely many numbers between any pair of real numbers, no matter how close.
A plane is defined as what type of figure? A. A plane has no dimensions. B. 3-dimensional C. 2-dimensional D. 1-dimensional
A plane is flat, so 2-Dimensional
Find the first three terms of the sequence described by the following recursive formula:
an = 3an – 1 + 2 where a4 = 20
a1=
a2=
a3=
Answer:
a1= -2/9
a2= 4/3
a3= 6
Step-by-step explanation:
[tex]a_n = 3a_{n - 1} + 2[/tex]
a_4= 20
lets plug in 4 for n
[tex]a_4 = 3a_{4 - 1} + 2[/tex]
[tex]20= 3a_3+ 2[/tex]
Subtract 2 from both sides and then divide by 3
18 = 3a_3
[tex]6=a_3[/tex]
lets plug in 3 for n and use a3=6 to find a2
[tex]a_3 = 3a_{3 - 1} + 2[/tex]
[tex]6= 3a_2+ 2[/tex]
Subtract 2 from both sides and then divide by 3
4 = 3a_2
[tex]\frac{4}{3}=a_2[/tex]
lets plug in 2 for n and find out a1
[tex]a_2 = 3a_{2 - 1} + 2[/tex]
[tex]\frac{4}{3}= 3a_1+ 2[/tex]
Subtract 2 from both sides and then divide by 3
[tex]\frac{-2}{3}= 3a_1[/tex]
[tex]\frac{-2}{9}=a_1[/tex]
The population p (in millions) of Italy from 1990 through 2008 can be approximated by the model p=56.8e^o.oo15t , where t represents the year with t=0 corresponding to 1990
-Find the populations of Italy in 2000 and 2008
-Use the model to predict the populations of Italy in 2015 and 2020
Answers:
Year 2000: 57.7 millionsYear 2008: 58.4 millionsYear 2015: 59.0 millionsYear 2020: 59.4 millionsExplanation:
The given model provides a function that allows to approximate the population of Italy from 1990 through 2008 and predict the populations for other years, assuming validity of the same model over the coming years.
You only need to convert the year into the variable t and subsitute in the model.
1. Calculate t for every year of your interest:
Year t = year - 1990
1990 1990 - 1990 = 0 (initial value)
2000 2000 - 1990 = 10
2008 2008 - 1990 = 18
2015 2015 - 1990 = 25
2020 2020 - 1990 = 30
2. Calculate the population as per the model:
[tex]p = 56.8e^{0.0015(10)}=57.7[/tex]
t = 18[tex]p = 56.8e^{0.0015(18)}=58.4[/tex]
t = 25[tex]p = 56.8e^{0.0015(25)}=59.0[/tex]
t = 30[tex]p = 56.8e^{0.0015(30)}=59.4[/tex]
Your local radio station is having their yearly music player and concert ticket giveaway. For one minute, every 5^\text{th}5 th 5, start superscript, t, h, end superscript caller will win a music player and every 7^\text{th}7 th 7, start superscript, t, h, end superscript caller will win concert tickets. You were just the first caller to win both a music player and concert tickets! What number caller were you?
Answer:
You were the 35th caller.
Step-by-step explanation:
For one minute, every 5th caller will win a music player and every 7th caller will win concert tickets.
If you were just the first caller to win both a music player and concert tickets, that means we need to find a least number which is divisible by both 5 and 7.
Actually we will find the LCM(Least common multiple) of 5 and 7.
[tex]5=1*5\\ \\ 7=1*7\\ \\ So, LCM = 1*5*7=35[/tex]
That means, you were the 35th caller.
Answer:
35
Step-by-step explanation:
raig ran the first part of a race with an average speed of 8 miles per hour and biked the second part of a race with an average speed of 20 miles per hour. The entire two-part, 15-mile race took him 1.125 hours to complete. Which table correctly represents his rates, times, and distances for each part of the race? ASAP NICKEL
Hi Jd444976,
Answers to find in the answer graph.
Distance for each sport:
He Ran 5 Miles
He Rode Bike For 10 Miles.
Time It took to do each sport:
Running - 5 / 8 = 0.625 = 37.5 minutes
Cycling - 10 / 20 = 0.5 = 30 minutes
0.625 + 0.5 = 1.125 = 67.5 minutes
5 miles to 16 miles percent what is the nearest percent
Answer:
31%
Step-by-step explanation:
Find the ratio and convert it to a percentage.
(5 miles)/(16 miles) × 100% = 0.3125 × 100% = 31.25% ≈ 31%
Please help me
10 points
Answer:
see below
Step-by-step explanation:
The following definitions apply:
if p, then q . . . . conditional statement
if q, then p . . . . converse
if ~p then ~q . . . inverse
if ~q then ~p . . . contrapositive
You have ...
p = "it is October 31"
q = "it is Halloween"
(a) The converse is ...
If it is Halloween, then it is October 31.
(b) The inverse is ...
If it is not October 31, then it is not Halloween.
(c) The contrapositive is ...
if it is not Halloween, then it is not October 31.
A father leaves his money to his four children the first received 1/3 the second received 1/6 and the third received 2/5 how much did the remaining child receive
Answer:
The remaining child got a fraction of [tex]\frac{1}{10}[/tex].
Step-by-step explanation:
Lets take the fraction of the money fourth child got is [tex]x[/tex]
Addition of all these fractions should be equal to 1.
⇒[tex]\frac{1}{3} +\frac{1}{6} +\frac{2}{5} +x=1[/tex]
⇒[tex]\frac{10+5+12+30x}{30} =1[/tex] (Taking a common denominator)
⇒[tex]\frac{27+30x}{30} =1[/tex]
⇒[tex]27+30x=30[/tex]
⇒[tex]30x=3[/tex]
⇒[tex]x=0.1[/tex]
Therefore,
The remaining child got a fraction of [tex]\frac{1}{10}[/tex].
By calculating the combined fractions of the inheritance received by the first three children, we've determined that 27/30 of the inheritance has been allocated. Subtracting this from the whole leaves us with 3/30, which simplifies to 1/10 of the inheritance for the remaining child.
The student has asked about how much the remaining child will receive from a father's inheritance if the first received 1/3, the second received 1/6, and the third received 2/5 of the inheritance. To answer this, let's first add up the portions of the inheritance that the first three children received:
First child: 1/3
Second child: 1/6
Third child: 2/5
Now, we will find a common denominator to add these fractions. The least common multiple of 3, 6, and 5 is 30. Let's convert each fraction:
First child: 1/3 = 10/30
Second child: 1/6 = 5/30
Third child: 2/5 = 12/30
Now, add these fractions:
10/30 + 5/30 + 12/30 = 27/30
Once we add up these portions, we get 27/30 which represents the total part of the inheritance that has been given out to the first three children. To find out the portion for the remaining child:
30/30 (the whole inheritance) - 27/30 (the part given away) = 3/30
Reducing the fraction 3/30 gives us 1/10. So, the remaining child would receive 1/10 of the inheritance.
A toy company has determined that the revenue generated by a particular toy is modeled by the following equation: 10x - 0.025x² The variable x is measured in thousands of toys produced, and r(x) is measured in thousands of dollars. What is the maximum revenue the company can earn with this toy?
Answer:
Maximum revenue = 1000 thousands of dollars.
Explanation:
We have the revenue equation [tex]r(x)=10x - 0.025x^2[/tex], where x is measured in thousands of toys produced, and r(x) is measured in thousands of dollars.
At maximum revenue the derivative of equation is zero
So, [tex]r'(x)=0\\ \\10 - 0.025*2x=0\\ \\ x=10/0.05\\ \\ x=1000/5=200[/tex]
So maximum revenue is when 200 thousands of toys are produced.
Maximum revenue, [tex]r(200)=10*200 - 0.025*200^2\\ \\ r(200)=1000[/tex]
Maximum revenue = 1000 thousands of dollars.
What is the LCM of 2x, 3y, and 4z?
12xyz
24xyz
8xyz
4xyz
LCM(2, 3, 4) = 12
LCM(x, y, z) = xyz
therefore
LCM(2x, 3y, 4z) = 12xyz
the LCM is 4xyz.
The Least Common Multiple (LCM) of expressions 2x, 3y, and 4z is calculated by finding the smallest power of each individual variable and prime number base that can be divided evenly by each of the expressions. In this case, we have different variables and numerical coefficients. We must take the highest power of each distinct variable and multiply it by the highest coefficient from the numbers given to find the LCM.
Since 2, 3, and 4 are the coefficients, the highest among them is 4. We will use this and multiply by each of the variables x, y, and z. So, the LCM is 4xyz.
What is the contrapositive of the statement “If a polygon is a square, then it has four right angles.”
Answer:
If a polygon has not got four right angles then it is not a square.
Step-by-step explanation:
Contrapositive is
if A implies B then not B implies not A.
A company can sell 2000 magazine subscriptions at $40 each. For each $5 increase in the price, it will sell 200 fewer subscriptions. What subscription price will provide the maximum revenue for the company?
$55
$40
$45
$50
ANSWER
The subscription price of $45 provides the maximum revenue for the company
EXPLANATION
When the price is $[tex]40[/tex], the company sells [tex]2000[/tex] quantities.
The total revenue accrued
[tex]=40\times2000[/tex]
[tex]=$80,000[/tex]
When the price increases to $[tex]45[/tex] the quantity sold will decrease by 200 magazines which is [tex]2000-200=1800[/tex]
The total revenue accrued
[tex]=45\times 1800[/tex]
[tex]=81000[/tex] dollars
When the price increases to $[tex]50[/tex] the quantity sold will decrease by 200 magazines again which is [tex]1800-200=1600[/tex]
The total revenue accrued
[tex]=50\times 1600[/tex]
[tex]=80000[/tex] dollars
When the price increases to $[tex]55[/tex] the quantity sold will decrease by 200 magazines which is [tex]1600-200=1400[/tex]
The total revenue accrued
[tex]=55\times 1400[/tex]
[tex]=77000[/tex] dollars
Hence a subscription price of $45 provides the maximum revenue for the company.
Ravi can type 6 words in 4 seconds. How many words can he type in 10 seconds?
Alexis received an 85,89, and 92 on three tests. How many points does she need to score on her next test in order to have an average of at least 90?
94
for her average to be at least 90 then letting x be the score she requires on her next test, then
[tex]\frac{85+89+92+x}{4}[/tex] = 90 ( solve for x )
multiply both sides by 4 to eliminate the fraction
85 + 89 + 92 + x = 360
266 + x = 360 ( subtract 266 from both sides )
x = 94
A rectangle has a perimeter of 144 inches. The width of the rectangle is 12 inches less than the length. What is the width, in inches, of the rectangle?
The width is 42 inches. If you add 42+42+30+30, it equals 144. (l+l+w+w)
Answer:
30 inches
Step-by-step explanation:
To correctly evaluate this we have to give algebraic values to both the width and the length, so the width would be X, and the legnth is 12 inches larger than the length so this would be expressed by: x+12, so the equation of the perimeter would be:
[tex]P=2W+2L[/tex]
[tex]P=2(x)+2(x+12)[/tex]
[tex]P=2x+2x+24[/tex]
Now you just evaluate the equation for perimeter=144.
[tex]144=2x+2x+24[/tex]
[tex]144=4x+24[/tex]
[tex]120=4x[/tex]
[tex]x=\frac{120}{4}[/tex]
[tex]x=\frac{120}{4}=30[/tex]
So the width of the rectangle is 30 inches.
Francesca spent 45 minutes on the internet yesterday if this is 5/6 of the time she spent on the computer,how long did she spend on the computer but not on the internet?
Answer:
37.5
Step-by-step explanation:
x= time not spent on the internet while on the computer
5/6 = 45/x
45*6/5 = x
This is the equation you should use
Geometry help please Two Column Proofs
Tomas buys a trumpet for $108.90. He will make 10 equal payments to pay for the trumpet. What is the amount of each payment that tomas will make?
Tomas will make 10 equal payments of $10.89 each to pay off the total cost of the trumpet which is $108.90.
This question involves simple division, the process of sharing an amount equally. Here, Tomas is dividing the total cost of a trumpet, which is $108.90, into 10 equal payments.
To find the amount of each payment, you simply divide the total cost by the number of payments. So, $108.90 divided by 10 gives us $10.89. Therefore, each payment Tomas will make for his trumpet is $10.89.
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Final answer:
Tomas will make 10 equal payments of $10.89 each to pay for the trumpet that costs $108.90 in total.
Explanation:
Tomas buys a trumpet for $108.90 and plans to make 10 equal payments to pay off the full amount. To find the amount of each payment, we divide the total cost by the number of payments. So, we calculate $108.90 ÷ 10, which results in each payment being $10.89. Therefore, each payment Tomas will make is $10.89.