IN (3)
2
10
6
7
-3
-10 1000
15
OUT (9)
9 25 17
a. Explain in words what is done to the input value (20) to produce the output value (y).
b. Write the rule you described in part (a) with algebraic symbols.
Answers
Answer:
(a) Rule: Multiply the input (x) by 2 and add 5 to the result of the product
(b) [tex]y =2x +5[/tex]
Step-by-step explanation:
Given
The attached table
Solving (a): The rule of the table in words
First, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Using:
[tex](x_1,y_1) = (2,9)[/tex]
[tex](x_1,y_1) = (10,25)[/tex]
So, we have:
[tex]m = \frac{25 - 9}{10 - 2}[/tex]
[tex]m = \frac{16}{8}[/tex]
[tex]m=2[/tex]
The equation is calculated using:
[tex]y - y_1 =m(x - x_1)[/tex]
Using:
[tex](x_1,y_1) = (6,17)[/tex]
We have:
[tex]y - 17 =2(x - 6)[/tex]
[tex]y - 17 =2x - 12[/tex]
Make y the subject
[tex]y =2x - 12+17[/tex]
[tex]y =2x +5[/tex]
Hence, the rule is:
Multiply the input (x) by 2 and add 5 to the result of the product
(b): The rule, in algebra
As solved in (a), the rule is:
[tex]y =2x +5[/tex]
Related Questions
What is the approximate height of the building? Round to the nearest tenth of a foot. feet
Answers
Answer:
22.5 feet
Step-by-step explanation:
The approximate height of the building is to be considered as the 22.5 feet that should be Round to the nearest tenth.
Calculation of the height:Since
A 26-foot-long ladder is leaning against a building at a 60 degree angle with the ground.
We know that
sin θ = Perpendicular/Hypotenuse.
So
here we assume p be the Perpendicular
So,
sin60 = p/26.
p = 26*sin60.
p = 22.5
hence, The approximate height of the building is to be considered as the 22.5 feet that should be Round to the nearest tenth.
Learn more about height here; https://brainly.com/question/21005254
CAN SOMEONE PLEASE HELP ME!!!!!!!!!
Answers
Answer:
12(m +1) > 18m - 3
12m + 12 > 18m - 3
12+3 > 18m - 12m
15 > 6 m.
m < 15/6
m < 2.5
4th option is correct.
Answer:
{m| m < 2.5}
Step-by-step explanation:
m < 2 1/2,m < 2.5 , m ∑ [-∞, 5/2]
hope that helped!
A rapid strep test is often given in a clinical setting so that, if needed, antibiotics can begin as soon as possible. Researchers at Cochrane.org evaluated the effectiveness of rapid strep tests and found that one type had a sensitivity (ability to correctly detect people with strep) of 85.4% and a specificity (ability to correctly identify people who do NOT have strep) of 95%
Fill in the following chart, assuming that you have a group of 10,000 people, 15% of whom actually have strep throat.
Patient is given a rapid strep test
Result is positive Result is negative totals
Has strep throat
Does not have strep
Totals 10,000
For a population of patients similar to those described in the stem of this problem, use the chart find each of the following probabilities. Write you answer as an abbreviated probability statement with your answer to four decimal places without using a percent symbol. For example, P(strep) = 0.15
A) The probability that a randomly chosen patient has strep throat and tests positive
B) The probability that a randomly chosen patient tests positive for strep throat.
C) The probability that a randomly chosen person actually has strep throat, given that they have tested positive.
Answers
Answer:
Follows are the responses to this question:
Step-by-step explanation:
Follows are the table to this question:
[tex]positive \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ negative \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ total[/tex]
[tex]\text{strep value} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1281\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 219 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1500 \\\\[/tex]
[tex]\text{not the strep value} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 425 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 8075 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 8500 \\\\ \text{total} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1706 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 8294 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 10000 \\\\[/tex]
In point a:
[tex]P( \text{step and positive test}) = \frac{1281}{10000}=0.1281[/tex]
In point b:
[tex]P(\text{positive test}) =\frac{1706}{10000} =0.1706[/tex]
In point c:
[tex]P \text{(strep | positive test)} =\frac{1281}{1706} =0.7509[/tex]
Pl help it’s for a grade
Answers
Answer:
c
Step-by-step explanation:
Use the balanced scale to find the conversion factor that can be used to convert the number of blocks to the weight of the blocks in pounds.
Balanced scale has 3 one-pound weights on 1 side; 2 question mark weights on other side.
A. 1.5 pounds per block
B. 1.5 blocks per pound
C. 2 pounds per block
D. 3 blocks per 2 pounds
Answers
Answer:
A. 1.5 pounds per block
Step-by-step explanation:
The conversion factor shows 2 blocks on the right and three 1 pound blocks on the left. It takes two 1 pound blocks to make 2 and then you get your 3rd block, making it 3 (.5 more than 2.5) needing another block to add a .5
Answer:
Step-by-step explanation:
1.5
is (3,8) a solution to this system of eqautions?
y=7x+8
y=x+1
Yes or No?
Answers
Answer:
Step-by-step explanation:
plug the numbers in and see if it is true
x=3, y=8
y=7x+8
8=7(3)+8
8=29
is not true, so it is not a solution. even if it might be a solution for the other equation, it is not true for this equation so it is not a solution for this system
how to find an equation: since y=7x+8 and y=x+1, then
7x+8=y, and y=x+1
7x+8=y=y=x+1
7x+8=x+1
6x+8=1
6x=-7
x=-7/6
y=x+1
y=-1/6
solution: (-1 1/6, -1/6)
Alex scored a 75% on his history test if he correctly answered an 18 question how many questions did Alex answer incorrectly
Answers
Answer:
24
Step-by-step explanation:
18 is 75% of 24.
Calcular la energía cinética de un coche de masa 1500 Kg que circula con una velocidad de 90 km/h.
Answers
Answer:
468750 esta es la energia cinética
Suppose an amusement park bought a merry‐go‐round for $92,000. 42,512 people paid $2 each to ride the merry‐go‐round in its first year of operation. Did the park earn or lose money in the first year? How much?
Answers
Answer:
yes they did lose money
Step-by-step explanation:
42,512×2 = 85,024
92,000 - 85,024 = 6,976
they lost $6,976 in the first year
How do I solve x, y, z?
Answers
Answer:
z=[tex]\sqrt{14^{2} -5^{2} }[/tex]
z=13.08
(5)[tex]\sqrt{171}[/tex]=14x
x=4.67
y=[tex]\sqrt{5^{2} -4.67^{2} }[/tex]
y=1.79
if it helps, please give me brainliest
I am having trouble on figuring out how to write this out to solve it.
Answers
The domain is (-infinity,1)(1, infinity) or {x|X=/1} the dash goes through the equal sign
the formula may be h^2x h squared x for expanding using sum/difference
brian is buying cans of baked beans for a camping trip.each can is 15 ounces.if he buys 7 cans,about how many pounds of beans is he buying?
2 pounds
5 pounds
7 pounds
10 pounds
Answers
Answer:
about 7 pounds
Step-by-step explanation:
NOTE: 16 ounces equals a pound
so, we would do 15x7 which equals 105 ounces. then we would do 105/16 since 105 is the ounces in total and 16 ounces=1 pound. so our answer would equal to 6.5625. which rounded off would be about 7 pounds. I hope this is correct /helps!:)
y = -3x + 5? *
What’s the slope of the equation y =-3x+5
Answers
Answer:
The slope is -3
Step-by-step explanation:
The formula is y= mx + b
m = slope
b= y intercept
Therefore, the slope is -3
lengths of two sides of a triangle are 6cm and 10cm. the two whole numbers between which the length of third side lie is
Answers
Answer:
plz mark me as brainiest
Step-by-step explanation:
10-6=4
10+6 =16
4 >x>16.
P=D•W what does this mean in a formula
Answers
Help me I’m stuck and please can someone explain this to me
Answers
Answer:
84 degrees
Step-by-step explanation:
3x = 4x - 28. Reason: Alternate Exterior Angle are congruent
X=28 Reason: Algebra
Y+4x-28= 180 Reason: Straight angles = 180 degrees
Y=84. Reason: Algebra
please help me really fast
Answers
Answer:
$30.00 fee
$45.00=total bill
$0.10 per minute of usage
x = minutes used
$30.00 + 0.10 per minute = $45.00
$30.00+$0.10(x) = $45.00
$0.10(x) = $45.00-$30.00 = $15.00
x = $15.00/$0.10 = 150 minutes used
HEEEEEEEEEELPPPPPPP..................
Answers
Answer:
Step-by-step explanation:
(2,6) (4, 18)
(18 - 6)/(4 - 2) = 12/2= 6
slope: 6
y - 6 = 6(x - 2)
y - 6 = 6x - 12
y = 6x - 6
f(x) = 6x - 6 slope int form
y int (0, -6)
I need to know which numbers go in what sections.
Please help!!
Answers
y = 6(-4) + 8
y = -24 + 8
y = -16
So the first blank would be -16. Repeat this process for the next steps.
how do I solve this factoring problem?
Answers
Find the midpoint of MN. M(-3,8) and N(-7-6)
Answers
Step-by-step explanation:
use the midpoint formula
-3+-7/2, 8+-6/2
(-5, 1)
en un día de trabajo una pastelería ha producido 100 pasteles, de los cuales (2/5 en fracciones) tienen crema y (1/4 en fracciones) de la producción de pasteles no tiene crema y el resto son díbeticos ¿cuantos pasteles hay para diabéticos?
Answers
tfyhgbuhbj tctf ybubbimihbighv no
Step-by-step explanation:
tdcvyvj j ct ruv yo bb. v
can someone help me with a two step equation that will be x=2
Answers
Answer:
i can help
Step-by-step explanation:
Answer:
Step-by-step explanation:
2
One-third of a number added to itself equals 3 times the difference of the number and seven.
Answers
Answer:
Step-by-step explanation:
Do this step by step.
Let the number = x
1/3 of a number = 1/3 x
Added to itself 1/3x + x
=
3*(x - 7)
So the equation is
1/3x + x = 3(x - 7) Remove the brackets. Collect 1/3x and x
4/3 x = 3x - 21 Multiply both sides by 3.
4x = 3*(3x - 21) Remove the brackets again
4x = 9x - 63 Subtract 9x from both sides
-5x = -63 Divide by -5
x = -63/-5
x = 12.6
The legend on a map states that 1 inch
is 250 miles. If you measure 3 inches
on the map, how many miles would
the actual distance be?
Answers
what would be the amount of the bill if the phone is not used during the month?
Answers
Answer:
im pretty sure its 25
Step-by-step explanation:
Answer:
25.00
Step-by-step explanation:
I got it correct.
Encontrar la media, mediana, moda y rango de los siguiente valores:
84,91, 72,68,87, 78,65,87,79.
Answers
Answer:
La mediana es 79 la moda es 87 la media 87 y él rango es 26
Step-by-step explanation:
Espero te ayude ;)
The mode, median and the range are 87, 79 and 26 respectively
Given the data 84,91, 72,68,87, 78,65,87,79., we are to get the median, mode, and range of the data.
The mode is the number that occurs the most from the given data. Since 87 occurs twice, hence the mode is 87The median is the number in the middle after arrangement. On arranging, we will have:
65, 68, 72, 78), 79, (84, 87, 87, 91
From the data, we can see that the median value is 79Range = Highest - lowest
Range = 91 - 65
Range = 26
Hence the range of the data is 26Learn more on measure of central tendency here: https://brainly.com/question/17726154
in a school 3/8 students are boys and 850 are girls.fi nd the number of boys in the school
I
Answers
Answer:
Answer: Not too Sure... Maybe 318
An airplane on autopilo 7 hours to travel 4,998 kilometers. What is the unit rate for kilometers per hour?
Answers
Find the area of the semicircle. Use 3.14 for pi.
Answers
Answer:
25.12
Step-by-step explanation:
πr^2
π4^2 = ~50.27
~50.27/2 = ~25.12
