Answers
Answer:
f(x) = -4x + 21
Step-by-step explanation:
Given:
(4, 5) and (2, 13)
Required:
Linear function of that passes through the given points
Solution:
We need to determine the slope (m) and y-intercept (b) of the function.
✔️Finding the slope using the points given:
Slope (m) = change in y/change in x
= (13 - 5)/(2 - 4)
= 8/-2
m = -4
✔️To find y-intercept (b), substitute (x, f(x)) = (4, 5) and m = -4 into f(x) = mx + b
5 = -4(4) + b
5 = -16 + b
5 + 16 = b
b = 21
✔️To write the function, substitute m = -4 and b = 21 into f(x) = mx + b
f(x) = -4x + 21
Related Questions
Colton's truck weighs 1 tons. Francine's
truck weighs 2 į tons. What is the difference
between the weights of their two trucks?
Answers
Make the denominators same number.
2 1/8- 1 2/8
And subtract
7/8
Your answer is J
The perimeter of the kite is 134 cm. Find the value of x.
Answers
Answer:
x = 10 cm
Step-by-step explanation:
(3x + 2) + (3x + 2) + (4x - 5) + (4x - 5) = 134 cm
combine like terms:
14x - 6 = 134
add 6 to each side of the equation:
14x = 140
divide both sides by 14:
x = 10
Roger is standing next to a tree where his shadow is 3 feet long and the shadow of the tree is 18 feet long.
If Roger is 4.5 feet tall, what is the height of the tree?
O A. 12 ft
OB. 16.5 ft
O C. 19.5 ft
OD. 27 ft
Answers
Answer:
the answer should be 27 ft
sorry if I'm wrong
The height of the tree will be 27 ft. The correct option is D.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given that Roger is standing next to a tree where his shadow is 3 feet long and the shadow of the tree is 18 feet long. If Roger is 4.5 feet tall.
The height of the tree will be calculated as,
Height = ( 18 x 4.5 ) / 3
Height = 6 x 4.5
Height = 27 ft
Hence, the height will be 27 ft.
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6,6,6,6,7,7,7,7,7,7,8,8,9,9,10
Select the statement that correctly describes the data,
O A. The typical value is 7 because it is an extreme value,
B. The typical value is 15 because that is the total number of bags,
C. The typical value is 7. Most values are close to 7, and there are no
extreme values
D. The typical value is 10 because it is the maximum,
Answers
Answer:
C
Step-by-step explanation:
The typical value is 7 because it is the most common number in the data set
8 less than the quotient of 20 and 5
Answers
Answer:
-4
Step-by-step explanation:
20/5-8 ( expression written out)
4-8=-4 (solution)
please help ASAPPPPP
Answers
Answer:
Maby b the 2 secoend awnser
Step-by-step explanation:
i need help with these problems, thanks
Answers
1. C
2. A
3. B
Hope This Helped!
(Brainliest will be appreciated)
Answer:
1- distributive property
2- Subtraction.
3- -3/2
Step-by-step explanation:
1- When the given equation is given, the 4 outside the parenthesis multiplied with the variable x and number 1. This process of multiplication between a number and all the variables in parenthesis is called known as the distributive property.
2- As it was adding with 2x on the left side when it passed with Inverse Operation to the right side, its sign change to subtraction.
3- The 2 passes to the other side of the equation with Inverse Operation, therefore dividing. The -3, otherwise, as it didn't move to the other side, has no effect and remains the negative.
Volume: Question 4
Find the volume of the square pyramid if the area of the base is 48 cm2
and the height is 8 cm.
Answers
Step-by-step explanation:
[tex]volume = l \times b \times h \\ area =l \times b \\ so \: if \: area \: = 48 \: that \: means \: \\ volume \: = 48 \times 8 = {384cm}^{3} [/tex]
Answer:
Step-by-step explanation:
36 - 4
Step-by-step explanation:
(6x - 2)(6x + 2)
= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)
= 36 - 12x + 12x - 4
= 36 - 4
Jillian wants to figure out how much water will fit inside the water tower that is by her house. So she wants to find the volume of the water tower. True False
Answers
Answer:
True
Step-by-step explanation:
The volume of an object is the amount of matter the shape can hold, so finding how much water the tank can hold is finding the volume of the tank.
Have a great day! Hope this helps!
Answer:
True hope this helps
You decide to take your car on a drive through Canada, where gas is sold in liters and distances are measured in kilometers. Suppose your car's gas efficiency is 23.0 mi/gal. How many liters of gas will you need to complete a 495 km trip? Use the conversions 1 gal = 3.78 L and 1 km = 0.6214 mi.
Answers
Answer:
You will need 50.54 liters of gas.
Step-by-step explanation:
This question is solved by proportions.
495km trip:
The gas efficiency is given in miles per gallon, so we need to find the number of miles traveled.
Each km has 0.6214 mi, so 495 km will be 495*0.6214 = 307.593mi.
Number of gallons:
23.0 mi/gal.
So for 307.593mi, the number of gallons is 307.593/23 = 13.37 gallons.
How many liters?
Each gallon has 3.78 liters.
So 13.37 gallons will have 13.37*3.78 = 50.54 liters.
Lesson 13 Problem Set 5.4
2.
Draw rectangular fraction models of 3 >
f3x3 and
Compare multiplying a number by 3 and by 1 third.
Answers
2. Barnes and Noble bookstore is having a sale. Dr. Mumin's book sells for
$4 per copy. Dan Moyer's book sells for $1 per copy. Leannie spends $23
for 8 books'. How many copies of books from each author did she buy?
Answers
Help out plsss ......
Answers
Answer: 5 hours will take two days.
Step-by-step explanation:
People dont matter here. but what does is hours. 2 hrs a day = 5 days
3hrs a day = 4 days, 4 hrs a day = 3 days, 5hrs = 2 days.
When hrs a day go up 1 the amount of days is reduced at a rate of 1. It's about finding the rate of change. So our rate of change was +1 hour = -1 day.
2,5
3,4
4,3
5,2
A cereal company makes a cereal from two ingredients: wheat and oats. Each ingredient provides two essential nutrients: vitamin A and vitamin B. The company wants to know how many ounces of wheat and oats to include in each box of cereal so that the minimum requirements of 48 milligrams of vitamin A and 20 milligrams of vitamin B are satisfied. An ounce of wheat provides 10.5 milligrams of vitamin A and 2.4 milligrams of vitamin B. An ounce of oats provides 6 milligrams of vitamin A and 1.8 milligram of vitamin B. An ounce of wheat costs $0.05 and an ounce of oats costs $0.10. The company wants to minimize the total cost of production.
Find the solution to this problem using the Simplex method.
Answers
Answer:
z (min ) = 0.4167 $
x = 8,33 oz
y = 0
Step-by-step explanation:
Table:
Vitamin A Vitamin B Cost $/oz
Wheat (x) 10.5 2.4 0.05
Oats (y) 6 1.8 0.10
Requirements 48 (mg) 20 (mg)
Requirements 1,693 (oz) 0,7054 (oz)
The problem is minimized z subject to two constraint
z = 0.05*x + 0.1*y to minimize
Subject to:
Requirement of Vitamin A
10.5*x + 6 * y ≥ 48
Requirement of Vitamin B
2.4*x + 1.8*y ≥ 20
x≥0 y≥0
Using the on-line solver AtomZmaths and after 3 iterations the solution is:
z (min ) = 0.4167 $
x = 8,33 oz
y = 0
an equilateral triangle has perimeter P. The length of one side is p/3 which expression is equivalent to the length of one side?
a.) 2/3p
b.) 3/4p
c.) 1/3p
d.) 3p
Answers
Answer:
Your answer is C
Step-by-step explanation:
A number n is at most −110.
Answers
Answer:
n ≤ -110
Step-by-step explanation:
Does coordinate p or coordinate q represent a greater number?
PLEASE HELP!!
Answers
Answer:
You need to attach a picture
Step-by-step explanation:
evaluate the math problem
Answers
Answer:
6
Step-by-step explanation:
square root of 144 is 12, square root of 4 is 2, square root of 16 is 4. SO your equation is now 12x 2 divided by 4. 12 times 2 is 24. Then divide 24 by 4 and you get 6. Therfore, your answer is 6.
de una bolsa donde hay veinte bolas numeradas del 1 al 20 extraemos una, A: obtener un número par , B: obtener número primo, C: obtener un número tal que su suma de cifras sea 5,
a) comprobar que cumplan con las propiedades asociativa y distributiva en los sucesos, b) comprobar que se cumplan con las propiedades de las leyes de morgan entre los sucesos AyC , ByC, AyB , c) efectúa las siguientes operaciones en los sucesos unión entre AB, BC, AB, intersección entre AB,BC, AB, diferenciación entre AB, BA, CA, AC,
Answers
Para resolver este problema se aplica la ecuación de la probabilidad, cuya ecuación es la que se presenta a continuación:
P = Nf/N * 100%
Los datos son los siguientes:
Nf = 1
N = 20
Sustituyendo los datos en la ecuación se tiene que la probabilidad es la siguiente:
P = 1/20 * 100%
P = 5%
La probabilidad de extraer el número que deseas en un intento es de 5%.
Part E
What is the volume of the fish tank? Use the formula V =lxw x h
Answers
All you have to do is take the width 1/6 times it by the length 1/2 and then times that by the height 1/3 and that gets you 1/36yd^2
Write the number in 2 equivalent forms as a fraction, decimal, or percent.
Answers
Answer:
The numbers 6, 9 , and 42
Step-by-step explanation:
Fraction
6/10
9/100
42/100
Decimal
0.6
0.09
0.42
Percent
60%
9%
42%
What shape is always classified as a rectangle?
Answers
A square is always classified as a rectangle.
Hope this helped!
start time 7:30 elapsed time 2 hours 20 minutes end time is
Answers
Write the following as a sum, using powers of 10 to show place value? 0.739
Answers
[tex] \frac{5}{8} \div 6[/tex]
I need it in a fraction and a decimal in the simplest form
Answers
Answer:
[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{:}\ [/tex]
[tex] \frac{5}{{8}{} } \div 6 = \frac{5}{48} [/tex]
=0.104166=0.1 is your answer
Helppp !!!!?Match the terms to their definition.
1.
numerical data
2. mode
the sum of a set of data divided by
the number of items in the set
the most frequently occurring
number(s) in a data set
any possible results of an
experiment
a graph showing frequency of data
on a number line
the middle value of a set of data
3. median
4. mean
5. sample space
6. probability
arranged in numerical order
the difference between the largest
and smallest data points
an organized listing of all possible
7. range
outcomes for an experiment
data represented by quantities
8. outcome
a measure of the likelihood of an
0
line plot
eveni
Answers
Answer:
I'm gonna arrange the numbers according to the answer
4
2
8
9
3
7
5
1
6
A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line. He must recalibrate his machines if the bolts are too long or too short. After sampling 196 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.14 cm. He knows that the population standard deviation is 0.83 cm. Assuming a level of significance of 0.05, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines? State the null and alternative hypotheses for the test.
Answers
Answer:
The null hypothesis is [tex]H_o: \mu = 4[/tex].
The alternate hypothesis is [tex]H_a: \mu \neq 4[/tex]
The pvalue of the test is 0.0182 < 0.05, which means that there is sufficient evidence to show that the manufacturer needs to recalibrate the machines.
Step-by-step explanation:
A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line.
This means that the null hypothesis is that they are 4.00 cm long, that is:
[tex]H_o: \mu = 4[/tex]
At the alternate hypothesis we test if it is different. So
[tex]H_a: \mu \neq 4[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
4 is tested at the null hypothesis:
This means that [tex]\mu = 4[/tex]
After sampling 196 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.14 cm.
This means that [tex]n = 196, X = 4.14[/tex]
He knows that the population standard deviation is 0.83 cm.
This means that [tex]\sigma = 0.83[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{4.14 - 4}{\frac{0.83}{\sqrt{196}}}[/tex]
[tex]z = 2.36[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability that the sample mean is different by at least 4.14 - 4 = 0.14 from the target value, which is P(|z| > 2.36), which is 2 multiplied by the pvalue of z = -2.36.
Looking at the z-table, z = -2.36 has a pvalue of 0.0091
2*0.0091 = 0.0182
The pvalue of the test is 0.0182 < 0.05, which means that there is sufficient evidence to show that the manufacturer needs to recalibrate the machines.
Is 3/4 closer to 0 or 1?
Answers
Answer:
It is closer to 1
Step-by-step explanation:
3/4 is 1/4 away from 1, whereas 0 is 3/4 away from 3/4. So, 1 is closer.
The fraction 3/4 is closer to 1.
We have,
To determine whether the fraction 3/4 is closer to 0 or 1, we can compare the distances between 3/4 and 0, and between 3/4 and 1.
The distance between 3/4 and 0 is 3/4.
The absolute value of the difference is |3/4 - 0| = 3/4.
The distance between 3/4 and 1 is 1 - 3/4 = 1/4.
Since the distance between 3/4 and 1/4 (which is 1/4) is smaller than the distance between 3/4 and 0 (which is 3/4), we can conclude that 3/4 is closer to 1 than to 0.
In other words, if we were to plot the fractions 0, 3/4, and 1 on a number line, the distance between 3/4 and 1 would be smaller than the distance between 3/4 and 0.
Therefore,
The fraction 3/4 is closer to 1.
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A cylinder has a volume of 308 cubic inches and a height of 8 inches.What is the radius of the cylinder?Usr 3.14 for pie round to the nearest tenth of a unit
Answers
Answer: 3.5 inches
Step-by-step explanation:
I need help with this
Answers
Answer:
7.5
Step-by-step explanation: