Given:
The table for a linear function.
To find:
The equation of the linear function.
Solution:
If a linear function passes through two points, then the equation of linear function is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Consider any two points from the given table. Let the two points are (2,-2) and (4,0). So, the equation of linear function is
[tex]y-(-2)=\dfrac{0-(-2)}{4-2}(x-2)[/tex]
[tex]y+2=\dfrac{2}{2}(x-2)[/tex]
[tex]y+2=x-2[/tex]
Subtracting 2 from both sides.
[tex]y+2-2=x-2-2[/tex]
[tex]y=x-4[/tex]
So, Ethan 's made a mistake. The sign between x and 4 must be negative but in Ethan's equation it is a positive sign, which is not correct.
Therefore, the required linear equation is [tex]y=x-4[/tex].
In an art class, 40% of the members are boys. 20% of the boys and 50% of the girls have learnt how to play a piano. If there are 150 members in the class, how many members have learnt to play piano?
Answer:
57
Step-by-step explanation:
5 in.
6 in.
5
in.
10 in.
18 in.
How do I find the volume of it
Answer:
545
Step-by-step explanation:
There are 30 female performers in a dance recital. The ratio of men to women is 4:5. How many men are in the dance recital?
Quizziz help 9th grade please thx
there are 12 boys than girls in a class of 60 find the number of boys and girls
Answer:
boys : 36
girls : 24
Step-by-step explanation:
60 - 12 = 48
48 ÷ 2 = 24 (girls)
24 + 12 = 36 (boys)
Calculate the sample standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data.
Slugging Percentages for Leading Major League Baseball Players
0.612 0.612 0.523 0.523
0.606 0.606 0.631 0.631
0.584 0.584 0.592 0.592
0.644 0.644 0.597 0.597
0.639 0.639 0.607 0.607
0.564 0.564 0.673 0.673
Answer:
[tex]s = 0.0394[/tex]
Step-by-step explanation:
Given:
0.612 0.523 0.606 0.631 0.584 0.592 0.644 0.597 0.639 0.607 0.564 0.673
Required
Calculate the sample standard deviation
First, calculate the mean
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\bar x = \frac{0.612 +0.523 +0.606 +0.631+ 0.584 + 0.592+ 0.644 +0.597 +0.639 +0.607 +0.564+ 0.673}{12}[/tex]
[tex]\bar x = \frac{7.272}{12}[/tex]
[tex]\bar x = 0.606[/tex]
The sample standard deviation is then calculated using:
[tex]s = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}[/tex]
[tex]\sum (x - \bar x)^2 = (0.612 -0.606)^2+(0.523 -0.606)^2+(0.606 -0.606)^2+(0.631 -0.606)^2+(0.584 -0.606)^2+(0.592 -0.606)^2+(0.644 -0.606)^2+(0.597 -0.606)^2+(0.639 -0.606)^2+(0.607 -0.606)^2+(0.564 -0.606)^2+(0.673 -0.606)^2[/tex]
[tex]\sum (x - \bar x)^2 = 0.017098[/tex]
So, we have:
[tex]s = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}[/tex]
[tex]s = \sqrt{\frac{0.017098}{12-1}}[/tex]
[tex]s = \sqrt{\frac{0.017098}{11}}[/tex]
[tex]s = \sqrt{0.00155436363}[/tex]
[tex]s = 0.0394[/tex] -- approximated
4. What is the experimental probability of flipping a head after
twenty flips of the coin?
Help me out plz................................
Answer:
A.
Step-by-step explanation:
We have the expression [tex]\sqrt{x+4} -3=2[/tex] and are asked which is the first step to solve it.
When doing equations, you always want to isolate x, now since x is stuck in a square root, we need to first get rid of the numbers outside the root. So -3, we would need to add three to both sides first. This step crosses out all other answers and leave us with A.
Please help!
Factor x2+9x−22
Answer:
(x-2)(x+11)
Step-by-step explanation:
Write the problem as mathematical expression.
x^2+9x-22
Consider the form x^2+bx+c. Find a pair of integers whose products is c and whose sum is b. In this case, whose product is -22 and whose sum is 9.
-2,11
Write the factored form using these integers.
(x-2)(x+11)
Answer:
Step-by-step explanation:
(x -2) (x+11)
Someone please help
Answer:
help with what?
Step-by-step explanation:
plz tell me the question and i can help :)
(12.02 HC)
A line plot with the lengths of meteors is shown. Two more identical meteor measurements were added so that the total length of all meteors measured is 16 inches. What is the length of each new
meteor?
Length of Meteors
x x
X X X
Х
х
х
x x
Х
x x
Measurement in inches
O 1 inch
100
inches
o
CON
Inches
3 inches
Answer:
1 3/8 inches
Step-by-step explanation:
Total Length after adding 2 meteors of equal length = 16 inches
Let the length of the added meteor = x
To obtain the total length, we sum of each meteror multiplied by its frequency is obtained ;
(2/8)(1)+(3/8)(3)+(4/8)(2)+(6/8)(2)+(10/8)(1)+(11/8)(2)+(14/8)(2)+(15/8)(1) + 2x = 16
13.25 + 2x = 16
13.25 + 2x = 16
2x = 16 - 13.25
2x = 2.75
x = 1.375
1.375 = 1 3/8
180% is equivalent to what decimal value
Answer:
1.80
Step-by-step explanation:
1%=0.01
10%=0.10
100%=1.00
Tom wants to invest $500. He invests in a company that predicts his investment will double in value every 3 years. This situation can be modeled by the
function f(x) = 500 -23 where x represents the number of years Tom leaves his money with the company. Which graph models this situation?
Answer:
Graph A bc it's the only graph that shows that every 3 years his investment doubles.
joe bought 8 tickets to indoor trampoline park for 60$
we know 8 x 5 = 40
so which of the following statements are also true.
A: 8 is a factor of 40
B: 5 is a multiple of 8
C: 5 is a factor of 40
Answer:
A and C are true
Step-by-step explanation:
because 8*5=40 so 8 and 5 both are factors of 40
the answer is c
Step-by-step explanation:
if you count by fives. 5 10 15 20 25 30 35 40. you get 40.
The graph of y=e^x is transformed as shown in the graph below. Which equation represents the transformed function?
Y= e^-3
y=e* +3
y=e*+3
y=x +3+3
Answer:
its B y=e^x+3
Step-by-step explanation:
Mark me as brainliest!
what is 25 divided by 465d
Answer:
0.0537634409. This is your answer.....
Hope it helps!!!!!
Answer:
465 divide 25 = 18.6
25 divide 465 is 0.05347634
Step-by-step explanation:
PLS HELP ME AND MAKE SURE TO SHOW HOW U GOT UR ANSWER
Answer:A.112
each piece of pizza has 28 pieces of pepporoni
so you would do 4*28 to get 112
Step-by-step explanation:
The product of a number and -3 increased by 8 is no less than 35
The required inequality, of a product of a number and -3 increased by 8 is no less than 35 is -3x + 8 ≥ 35.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
here,
Let the number be x,
According to the question,
The product of a number and -3 increased by 8 is no less than 35.
So,
-3x + 8 ≥ 35
Thus, the required inequality, of a product of a number, and -3 increased by 8 is no less than 35 is -3x + 8 ≥ 35.
Learn more about inequality here:
brainly.com/question/14098842
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who can help in guiding me in any mathematicss question because I'm not good at that at all
Answer:
i can help
Step-by-step explanation:
A house painter uses 6 gallons of paint per day. How many gallons does the painter use in a 5 day workweek?
(please help me i will give brainliest)
Answer:
30
Step-by-step explanation:
6 x 5= 30
six gallons per day times 5 work days
A school has 8 periods at day each of 45 minutes duration. How long would each period be ? The school has 6 periods a day? (assuming the number of school hours to be the same)
Answer:
The school has 6 periods a day needs 1 hour for each.
Step-by-step explanation:
8 period =45×8=360 minute
6 perod =360/6=60minute
10. Walter makes a cable payment of $84 each month. Which table
represents the relationship between m, the number of months,
and c, the amount he has paid for cable for that length of time?
find the length of the missing side
sorrbut is this phythagroas theorm
Answer:
[tex]\sqrt{51}[/tex]
Step-by-step explanation:
It's a right triangle so, [tex]a^{2} +b^{2} =c^{2}[/tex]
a=7
c=10
b=?
49+[tex]b^{2}[/tex]=100
100-49=[tex]b^{2}[/tex]
51=[tex]b^{2}[/tex]
b=[tex]\sqrt{51}[/tex]
how do I Round my answer to the nearest whole number?
Answer:
So when you are round here is a trick or easy way to round, if 1-4 then round down. If it is 5-9 then round up.
Step-by-step explanation:
It might take time but when rounding you mostly round Depending on if your question saw round to the nearest tens or ones.
Jackie used 4 apples and 16
strawberries to make a fruit pie.
What was the ratio of the number of
apples to the number of strawberries
in the fruit pie?
Answer:
The ratio of Apples to the number of strawbarries is 4:16 or 4/16
Step-by-step explanation:
what is 067÷ 32.16?
Answer:
2.08
Step-by-step explanation:
Answer:
2.0833333333333
Step-by-step explanation:
use calculator
Sally collected 32 coins. The ratio of Sally’s coins to Bill’s coins is 4 : 7. If Sally and Bill each double the number of coins they have now, what is the ratio of Sally’s coins to Bill’s coins?
Answer:
64 S
----
112 B
Step-by-step explanation:
The number of coins Sally and Bill will be 64 and 112 and the ratio will remain the same.
What is the ratio?
It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
It is given that Salley collected 32 coins, the ratio of Sally’s coins to Bill’s coins is 4: 7, and Sally and Bill each double the number of coins they have now.
Suppose the number of coins that Sally and Bill will be 4x and 7x respectively.
If Sally has the 32 coins and if she doubles the coins she has 64.
4x = 64
x =16
Sally’s coins,
4x = 4 × 16 =64
Bill’s coins,
7x =7× 16 = 112
Thus, the number of coins Sally and Bill will be 64 and 112 and the ratio will remain the same.
Learn more about the ratio here:
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Help with both? PLEASE lol this is a review and we’ve been in class for 40 mins I’ve got nothing
Answer:
Step-by-step explanation:
[tex]2) y^{\frac{3}{2}}=y^{3*\frac{1}{2}}\\\\=(y^{3}}^{\frac{1}{2}}\\\\=\sqrt{y^{3}}[/tex]
b
[tex]3)a^{\frac{2}{3}}=a^{2*\frac{1}{3}}\\\\=(a^{2})^{\frac{1}{3}}\\\\=\sqrt[3]{a^{2}}[/tex]
c
Jamie is making bread with rye flour and wheat flour, using a total of 3 cups of flour. If she
has 1 cups of wheat flour, which equation represents how many cups of rye flour, r, are needed
to make the bread?
Answer:
3:1
Step-by-step explanation:
&%6#46+4636$7$-&&%$44