Use the graph to find the value of f(x) when x = 6 for the function f (x) = 1/3x-3
Answers
The value of the function f(6) on the graph of the linear equation is -1
What are linear equations?Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the value of the function?The equation of the function is given as
f(x) = 1/3x - 3
The graph of the function is added as an attachment
From the graph, we can see that when x = 6, the value of the function is -1
This means that f(6) = -1
Hence, the value of the function f(6) on the graph of the linear equation is -1
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Related Questions
5:2:11=x:6:y
please give x and y for answer
also that is ratio
Answers
If we want the two ratios to be equivalent, then we need to use x = 15 and y = 33.
How to find the values of x and y such that the two ratios are equivalent?
Let's say that we have a simple ratio between two amounts, it is A:B
If we multiply both of these amounts by the same scalar, k, we will get:
k*A and k*B
And the ratio between the new amounts k*A: k*B is equivalent to the first ratio, A:B
So we will use this to solve the problem, here we have two ratios:
5:2:11 = x:6:y
Note that in the first ratio the first value is 2, and in the second case it is 6 so let's find the value of k such that:
2*k = 6
k = 6/2 = 3
Then if we multiply the correspondent values in the first ratio by 3, we will get:
x = 5*3 = 15
y = 11*3 = 33
Then we can see that the ratios:
5:2:11 and 15:6:33 are equivalent.
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Write an equation for a line perpendicular to y = 3x + 2 and passing through the point (9,1)
Answers
Step-by-step explanation:
the slope of a line is always the factor of x, and it is defined as ratio (y coordinate change / x coordinate change) when going from one point to another on the line.
in that sense it is y/x.
the perpendicular slope turns that ratio upside-down and flips the overall sign.
so, in our case, the original slope is 3 = 3/1.
the perpendicular slope is then -1/3.
so, now, we have the slope and a point, and we can start with the point-slope form of the line equation :
y - y1 = a(x - x1)
"a" being the slope, (x1, y1) being the point.
y - 1 = -1/3 × (x - 9) = -x/3 + 3
y = -x/3 + 4
and that is the usual slope-intercept form
y = ax + b
"a" is again the slope, "b" is the y-intercept (the y value when x = 0).
HELP PLEASEE
help is needed
and greatly appreciated
Answers
Based on the information provided, we have:
The value of composite function f(g(x)) is equal to: D. 5x - 15.The value of composite function g(f(x)) is equal to: B. 5x - 3.What is a function?A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for mapping an input variable to an output variable.
Given the following functions:
f(x) = 5x
g(x) = x - 3.
Next, we would determine the value of composite function f(g(x)) as follows:
f(g(x)) = f(x - 3)
f(g(x)) = 5(x - 3)
f(g(x)) = 5x - 15.
Also, we would determine the value of composite function g(f(x)) as follows:
g(f(x)) = g(5x)
g(f(x)) = (5x) - 3
g(f(x)) = 5x - 3.
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-3(-7b + 3) + 8b = 5b-4(1 - 6b)
Answers
Answer:
No solution
Step-by-step explanation:
Help Please!!!!!
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Answers
By using algebra and trigonometry properties, the expression (cot² t + 1) · (sin² t + 1) is equivalent to the expression cot² t + 2.
How to prove a trigonometric equivalence
In this problem we find an equivalence between two trigonometric expressions. This can be done by transforming the expression at one side by using algebra and trigonometry properties until the expression of the other side is found. The procedure is now presented and explained:
(cot² t + 1) · (sin² t + 1) Given
(cot² t + 1) · sin² t + (cot² t + 1) Distributive property
cot² t · sin² t + sin² t + cot² t + 1 Distributive property
cos² t + sin² t + cot² t + 1 cot t = cos t / sin t / Associative and commutative properties / Existence of multiplicative inverse / Modulative property
1 + cot² t + 1 cos² t + sin² t = 1
cot² t + 2 Commutative and associative properties / Definition of addition
Thus, the expression (cot² t + 1) · (sin² t + 1) is equivalent to the expression cot² t + 2.
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Look for a pattern in the following list. Then use this pattern to predict the next number.
1
1
6,6,7,7,8,...
Type the next number in the list.
7.
"
6,
(Type an integer or a fraction.)
***
...
Answers
With your writing coach, solve the following problem:
Jess bought x bananas, then she bought 5 tomatoes. She has 12 pieces of produce in all. How many bananas did she buy? Solve for x.
Answers
[tex] x + 5 = 12 \\ x = 12 - 5 \\ x = 7[/tex]
she brought 7 bananas
Suppose you have entered a 42-mile biathlon that consists of a run and a bicycle race. During your run, your average velocity is 5 miles per hour, and during your bicycle race, your average velocity is 27 miles per hour. You finish the race in 4 hours. What is the distance of the run? What is the distance of the bicycle race?
Answers
The distance of the running is 15 miles and the distance of the bicycling is 27 miles.
According to the statement,We have to find that the distance of the run and the bicycle race.
So, For this purpose, we know that the
The distance between two points is that the length of the trail connecting them.
From the given information:
you have entered a 42-mile biathlon that consists of a run and a race. During your run, your average velocity is 5 miles per hour, and through your race, your average velocity is 27 miles per hour. You finish the race in 4 hours.
Then
Total distance of the race = 42 miles
The average velocity of the running = 5 miles per hour
The average velocity of the bicycling = 27 miles per hour
Then
If let he covers 27 miles with the cycles then
The distance he runs = 42-27
The distance he runs = 15.
Then it means he runs for a 3 hours.
So, The distance of the running is 15 miles and the distance of the bicycling is 27 miles.
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100 POINTS AND BRAINLIEST ANSWER FAST question in image
Answers
Answer:
A) B 20.5 -A s-2.5=-3 is (0.5x)-(-2.5x) = -3x
B) A and B = 2 skydiver's distance each from x = -2.5 and 0.5 inequality shows us when x = 0 then A < -2.5 The second inequality shows us when x = 0 then B2 0.5 here on number line we an keep closed circles and shaded lines in opposite direction each from O showing domain is x domain = -2.5 to O and x domain= 0 to 5 (using commas instead of to) The actual expression then goes B≥0.5-A≤ -2.5=-3 so we an just use (0.5x)-(-2.5x)=-3x
Find the next number in the sequence 2,7,23,49,149,
Answers
Answer:
301
Step-by-step explanation:
Determine whether the statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain clearly
My bank raised its interest rate on savings accounts from 2% to 2.8%, which was a 40% increase.
Choose the correct answer below.
A. The statement is false. In this case, the change in the interest rate was a 240% increase.
B. The statement is false. In this case, the change in the interest rate was a 1.4% increase.
C. The statement is false. In this case, the change in the interest rate was a 140% increase.
D. The statement is false. In this case, the change in the interest rate was a 0.8% increase.
E. The statement is true. To determine how much a value increased by, the relative change should be computed. In this case, the relative change is 40%
Answers
Given statement 'My bank raised its interest rate on savings accounts from 2% to 2.8%, which was a 40% increase.' is True.
The correct answer is an option (E) The statement is true. To determine how much a value increased by, the relative change should be computed. In this case, the relative change is 40%
In this question, we have been given a statement 'My bank raised its interest rate on savings accounts from 2% to 2.8%, which was a 40% increase.'
We need to check whether given statement is true or false.
The bank raised its interest rate on savings accounts from 2% to 2.8%
We find the percent increase.
Here the absolute increase is: |2.8 - 2| = 0.8
The relative increase is: absolute increase / original value
= 0.8 / 2
= 0.4
The percent increase is: relative increase × 100
= 0.4 × 100
= 40%
Therefore, given statement 'My bank raised its interest rate on savings accounts from 2% to 2.8%, which was a 40% increase.' is True.
The correct answer is an option (E) The statement is true. To determine how much a value increased by, the relative change should be computed. In this case, the relative change is 40%
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Nadia says the hypotenuse of this right triangle has a length of 73 because the Pythagorean theorem states that (28 + 45) squared = 73 squared.
3 squares are positioned to form a right triangle. The small square is labeled 28, medium square is 45, and large square is not labeled.
Which best describes Nadia’s solution?
She is correct because she applied the Pythagorean theorem properly and her arithmetic is accurate.
She is incorrect because she should have used 45 as the length of the hypotenuse.
She is incorrect because she should have squared each leg length and then found the sum.
She is correct because the hypotenuse is the longest side of the triangle.
Answers
Nadia's solution is incorrect because she should have squared each leg length and then found the sum.
What is the Pythagorean theorem?A right angled triangle is a three-sided polygon. The three sides are the length, base and the hypotenuse. The hypotenuse is the longest side of the triangle. The sum of angles in a right angled triangle is 180 degree.
The Pythagorean theorem can be used to determine the length of the hypotenuse given the lengths of the other sides of the triangle. According to this theorem, the sum of the square of the two sides is equal to the length of the hypotenuse.
The Pythagoras theorem: a² + b² = c²
where:
a = lengthb = basec = hypotenuse28² + 45²
= 784 + 2025 = 2809
Hypotenuse = √2809= 53
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Answer:c
Step-by-step explanation:
I did the quiz
Greg is putting money into a saving account. He starts with $450 in the saving account and each week adds 30
Write an equation relating to s & w
Answers
Answer:
Hope This Helps
Step-by-step explanation:
S=450 + 30W
Plugging 14 into W, we get: S= 450 +30(14)= $870.
I don’t understand this graph. It doesn’t seem to be on the whole numbers. What intervals is it increasing on, decreasing, or constant? How do I figure out and write the domain and range?
Answers
Check the picture below.
yes, it doesn't have all whole numbers, is a so-called piece-wise function, whose behaviour can radically change per interval, notice the arrowheads, meaning the function continues indefinitely all the way up to ∞.
Exactly 120 years ago, students planted a tree in front of their school. Since then, the tree has grown 33 meters taller and the distance around the trunk has increased by 3 meters. Use pencil and paper. Describe how you can use this information to find at least two different unit rates. Then find these unit rates.
Answers
Answer: Rate of tree's height per year = 0.275 m per year.
Rate of tree's trunk per year = 0.025 m per year.
Step-by-step explanation:
Given data,
Exactly 120 years ago, students planted a tree in front of their school
Since then, the tree has grown 33 meters taller
The distance around the trunk has increased by 3 meters.
Define Unit rate :
A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
So, we can write,
There are 2 various unit rates in this:
The increase of the tree's height per year
The increase of the tree's trunk per year
Let us assume,
The increase of the tree's height per year = x
The increase of the tree's trunk per year = y
we can solve it :
Rate of tree's height per year x = 33m / 120 years
x = 0.275 m per year.
Rate of tree's trunk per year y = 3m / 120 years
y = 0.025 m per year.
Therefore,
Rate of tree's height per year = 0.275 m per year.
Rate of tree's trunk per year = 0.025 m per year.
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Your teacher has 48 juice boxes and 64 candies for a Halloween party. Each student will receive the same amount of juice boxes/candies, and all juice boxes/candies must be used.
Answers
The greatest number of students that can attend the party is 16.
Given, the teacher has 48 juice boxes and
64 candies for a Halloween party.
Each student will be given an equal number of juice boxes or sweets, and each one must be consumed.
how many (greater) number of students can attend the party = ?
In order to determine the greatest students we need to calculate the greatest common divisor of the numbers.
To calculate the greatest common divisor, we need to find out the prime factors of each number.
Therefore, by the method of prime factorization.
Prime factors of 48 = 2 × 2 × 2 × 2 × 3
Prime factors of 64 = 2 × 2 × 2 × 2 × 2 × 2.
Now, HCF of (48,64) = 2 × 2 × 2 × 2 = 16
Therefore we get the gcd as 16.
Hence the greatest number of students who can attend the party is 16.
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Athena's credit card has an APR of 32.99%. If her current monthly balance, before interest, is $2,719.83, what amount will she be charged for interest?
Answers
The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned. Athena's will be charged $74.77 for interest.
What is Interest Rate?The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned.
Given,
Athena's credit card has an APR of 32.99%.
We need to convert the percentage to decimal.
32.99%=32.99/100
=0.3299
The amount will she be charged for interest is
=(2719.83*0.3299)/12
=897.27/12
=74.77
Therefore Athena's will be charged $74.77 for interest.
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An analysis of the amount of fiber (in grams) and the potassium content(in milligrams) in servings of 77 breakfast cereals produced the regression model
Answers
Ths meaning of the slope based on the information is that the model predicts that cereals will have approximately 26 more milligrams of potassium for every additional gram of fiber.
How to illustrate the information?It should be noted that the analysis of the amount of fiber (in grams) and the potassium content(in milligrams) in servings of 77 breakfast cereals produced the regression model.
The model used was:
Potassium = 35 + 26 Fiber
Therefore, the meaning of the slope based on the information is that the model predicts that cereals will have approximately 26 more milligrams of potassium for every additional gram of fiber.
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Ms. Cody needs 2.65 yards of fabric to make one pillow. How many yards of fabric will she need to make 17 pillows?
Answers
Ms. Cody needs 45.05 yards of fabric to make 17 pillow.
What is referred as the unitary method?The unitary formula is used to measure the value of one unit given a multiple.The unitary method determines the value of a unit and then calculates the value of a necessary number of units.If we need to calculate the ratio with one quantity to another, we must employ the unitary method.The value of a unit quantity is determined by calculating first in the unitary method before calculating the value of other units. It comes in two varieties.Variation in DirectVariation in the inverseFor the given question;
Ms. Cody needs 2.65 yards of fabric to make one pillow.
For finding yards for 17 pillows, simply multiply the given yards by 17.
For 17 pillows = 17×2.65
For 17 pillows = 45.05
Thus, 45.05 yards of fabric is required to Ms.Cody to make 17 pillows.
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¿Es este polígono un paralelogramo ? Explica
Answers
Answer: No veo lo que estás mirando. Pero aquí hay un consejo para ayudarte. Un paralelogramo es una figura con cuatro lados en los que los lados opuestos son paralelos.
¡Espero que esto ayude! :)
Which equation and number line show that a number and its opposite are additive inverses?
Which equation and number line show that a number and its opposite are additive inverses?
Answers
An equation and number line which shows that a number and its opposite are additive inverses is: 2 + (-2) = 0 in graph B.
What is a number line?A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length.
What is an additive inverse?An additive inverse can be defined as a number (n) which when added to another number (a) makes it equal to zero (0). This ultimately implies that, an additive inverse is the opposite of another number (a).
Mathematically, an additive inverse can be represented by the following expressions:
a + n = 0
a = -n
In this context, we can reasonably infer and logically deduce that an equation and number line which shows that a number and its opposite are additive inverses is 2 + (-2) = 0 in graph B (see attachment).
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Will give Brainliest!!!!!!!
Answers
Answer:
[tex]56e \geqslant 53 \geqslant [/tex]
Hi
Find the area of a parallelogram with a base of 9 ft a height of 4 ft.
Answers
Explanation: To find the area of a parallelogram, you can multiply the base by the height. So: 9 x 4 = 36
work out the value of x
Answers
3x+1x=4x
270/4=67.5
X=67.5
In an election, 313 votes are cast. How many votes are needed to have a majority of
the votes in this election?
Answer with a whole number of votes.
Answers
Answer: u will need 157 votes to win the election
Given a right triangle with legs a and b and hypotenuse c, find
the length of side b if
c=13, a = 12
I NEED ANSWERS QUICK PLEASE
Answers
The lenght of the side b is 5 units
According to the given information the triangle is an right angled triangle with sides a,b, c where a and b are the two legs of the triangle and c is the hypotenuse the measurments of the side a and c are given 12 and 13 respectively . For finding the value of b we need to use pythagoras theorem that is (Hypotenuse)² = (base)² + (height)²
Here we are going to use the same theorem for finding the value of the side b
According to the question:
hypotenuse = c = 13 units
height = a = 12 units
base = b = ?
As per the theorem : hypotenuse ² = base ² + height²
∴ (13)² = b² + (12)²
=> 169 = b² + 144
=> b² = 169 - 144
=> b² = 25
=>b = √√25 = ±5
b = 5 [∵ lenght cannot be negative ]
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The quotient of eight and a number.
Answers
Answer:
8/x
Step-by-step explanation:
Quotient means to divide the two numbers, in this case 8 and x.
Let's define:
A is any whole number divided by 8, where A = N + R,
N is a whole number multiple of 8 which is less than or equal to A,
R is a whole number less than 8 that is the remainder of the division as it cannot be divided by 8,
and Q is the result of the division or the quotient
We have
A
8
=
N
+
R
8
⇒
A
8
=
N
8
+
R
8
⇒
A
8
=
Q
+
R
8
[Because Q is the whole number and the result of the division, then Q=N/8]
.
Then the expression for the quotient of a number and 8 is
N
8
, where N is a whole number multiple of 8.n
1. Triangle ABC with coordinates A(12, -3), B(12, 3) and C(-1, -1) is reflected across
the line Y=3. What are the new coordinates?
Answers
Answer:
A'(12,9), B'(12,3), C'(-1,5)
Step-by-step explanation:
A is 6 units from the line y=3, so it will map to be 6 units away on the other side of y=3, to the point (12, 9).
Similarly, B' has coordinates (12,3) and C' has coordinates (-1, 5)
elise does not like sorbet
Answers
Answer: wdym
Step-by-step explanation:
Elise doesn't like sorbet.
(Assuming we fix the grammar???)
Use the graph to write an equation of the line. Use simplest fraction form when necessary.
Y=
Interpret the slope.
A The fuel decreases 30 gallons for every mile driven.
B The fuel decreases 12 gallons for every mile driven.
C The fuel decreases 1/12 gallon for every mile driven
D The fuel decreases
1/30 gallon for every mile driven.
Thank you I appreciate it