3.a.Sketch a line through the point
(-2,5) such that as an x-value
increases by 3. the y-value
decreases by 2.
y
o
Answers
Answer:
Step-by-step explanation:
Let the equation of the line passing through a point (x', y') and slope 'm' is,
y - y' = m(x - x')
Since x-value increases by 3,
Δx = 3
And y-value decreases by 2,
Δy = -2
Therefore, slope = [tex]\frac{\triangle y}{\triangle x}[/tex]
Slope = [tex]-\frac{2}{3}[/tex]
Equation of the line passing through (-2, 5) and slope = [tex]-\frac{2}{3}[/tex] will be,
y - 5 = [tex]-\frac{2}{3}(x+2)[/tex]
y = [tex]-\frac{2}{3}x-\frac{4}{3}+5[/tex]
y = [tex]-\frac{2}{3}x+\frac{11}{3}[/tex]
y = [tex]\frac{1}{3}(-2x+11)[/tex]
Table for input-output values will be,
x -2 0 1 2 3
y 5 3.7 3 2.3 1.7
We can plot these points to get the line on a graph.
Related Questions
Which function below is the inverse of f(x)= 3x+5/7
Answers
Answer:
[tex]\huge\boxed{f^{-1}(x) = \frac{7x-5}{3}}[/tex]
Step-by-step explanation:
Given the function:
[tex]f(x) = \frac{3x+5}{7}[/tex]
Put f(x) = y
[tex]y = \frac{3x+5}{7}[/tex]
Interchange x and y
[tex]x = \frac{3y+5}{7}[/tex]
Solve for y
[tex]x = \frac{3y+5}{7}[/tex]
Multiplying both sides by 7
[tex]7x = 3y+5[/tex]
Subtracting y to both sides
[tex]7x-5 = 3y[/tex]
Dividing both sides by 3
[tex]\frac{7x-5}{3} = y[/tex]
OR
[tex]y = \frac{7x-5}{3}[/tex]
Put y = [tex]f^{-1}(x)[/tex]
So,
[tex]f^{-1}(x) = \frac{7x-5}{3}[/tex]
Hope this helped!
~AnonymousHelper1807(20 points & brainliest)
Answers
Answer:
1
Step-by-step explanation:
Anything to the power of 0 is 1, so the answer is 1.
1. If an equation contains decimals, what is the first step
you can perform to eliminate the decimals?
Answers
Answer:
Multiply by a power of 10
Step-by-step explanation:
By multiplying a power of ten, it will make the decimals whole numbers.
For example: 0.75*10=75
0.0075*10000
To eliminate the decimals, the first step we can perform is to multiply the decimal by a power of 10. If there are n numbers after the decimal point, then we will multiply the decimal by 10ⁿ.
What is decimal?In Algebra, a decimal is a type of number with a whole integer and a fractional part separated by a decimal point. The dot that appears between the entire number and the fractions part is the decimal point. 24.589, for example, is a decimal number. The whole number part is 24 and the fractional part is 589. The decimal point is ".".
How to solve this problem?If an equation contains decimals, then we have to check how many numbers are there in the fractions section. If there are 3 numbers like 24.589, to eliminate decimals we have to multiply 24.589 by 10³ to get a whole number [ Since 24.589×10³ = (24589/1000)× 1000 = 24589].
Therefore, to eliminate the decimals, the first step we can perform is to multiply the decimal by a power of 10. If there are n numbers after the decimal point, then we will multiply the decimal by 10ⁿ.
Learn more about decimals here -
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Which number BEST represents point x on the number line? A) 56 B) 65 C) 78 D) 87
Answers
where is the number line
Step-by-step explanation:
.what is .02 divied by .30 please dont show the calculator answer
Answers
Answer:
1/15
Step-by-step explanation:
.02 = [tex]\frac{2}{100}[/tex] and .30 = [tex]\frac{3}{10}[/tex]
cross multiply
[tex]\frac{2}{100}[/tex] ÷ [tex]\frac{3}{10}[/tex] = 2(10) ÷ 300
[tex]\frac{20}{300} = \frac{1}{15}[/tex]
Fraction answer: 1/15
Decimal answer: 0.066666666666667
if f(x)=2x+5 and g(x)=x+3, write an expression that is equivalent (f g)(x)
Answers
(f g)=2(x+3)+5
(f g)=2x + 6 +5
(f g)=2x + 11
The function g(x) = f(x – 7) + 3. Which of the following is true about the graph of g(x)
Answers
Please I need help asap.. Express the area of the entire rectangle. Your answer should be a polynomial in standard form.
Answers
Answer:
A = x²+6x+8
Step-by-step explanation:
(x+4)(x+2)
x²+2x+4x+8
x²+6x+8
what is 660 increased by 1 followed by a further one
Answers
660+1+1= 662
integrated math 2 chapter!help please i’m so lost :(
Answers
To solve this problem, you have to know that the measure of all the angles of a triangle is equal to 180 degrees.
Let's add each angle together and set them equal to 180 degrees.
180 degrees = 3x + 2x + 1 + x + 5
Combine like terms
180 degrees = 6x + 6
Subtract 6 from both sides
174 degrees = 6x
Divide both sides by 6
29 = x
We know that angle A = 3x = 3(29) = 87 degrees.
Plz help me I need help
Answers
Answer:
c has greatest ratio output with 0.6 compared to other
Step-by-step explanation:
Abox is 30 inches long wide, 16 inches long, and 14 inches high. To the nearest cubic inch,
what is the volume of the box?
Answers
Answer:
6720[tex]in^{3}[/tex]
Step-by-step explanation:
length x width x height
30 in x 16 in x 14 in = 6720[tex]in^{3}[/tex]
!!30 points!!
Are points A, B, and E collinear or noncollinear?
Answers
A. Noncolinear
ABE although they are in the same side, but they don't lie on the same line.
so its a noncolinear.
Answer:
ABE although they are in the same side, but they don't lie on the same line.
so its a noncolinear.
Step-by-step explanation:
100000000000 to the 10th power
Answers
Answer:
The answer for this question is 1e+110
-16 = -5x + x
please help
Answers
Answer:
x = 4
Step-by-step explanation:
-16 = -5x + x --> Collect like terms --> -16 = -4x -->
swap the sides of the equation 4x = -16 -->
Divide both sides of the equation by -4 --> x =4
Solve - 2x - 8> 3x + 12.
Please help!
Answers
Answer:
B. X < -4
Step-by-step explanation:
-2x - 8 > 3x + 12
Subtract 3x from both sides
-5x -8 > 12
Add 8 both sides
-5x > 20
Divide -5 both sides
X < -4
Answer: x < -4
Step-by-step explanation:
Subtract 3x from both sides
-5x - 8 > 12
Add 8 to both sides
-5x > 20
Divide both sides by -5
x < -4
Can I get all the right answers only
Answers
Answer:
yes, you can get all right answers.
Answer:
yes i believe that you can get all the answers right
Step-by-step explanation:
Pam and her brother both open savings accounts. Each begin with a balance of zero dollars. For every two dollars that Pam save in her account, her brother save five dollars in his.
Answers
Answer:
Ratio [Pam to her brother] = 2:5
Step-by-step explanation:
Given:
Pam saves every two dollar
Her brother saves fives dollar (For every two dollar)
Find:
Ratio [Pam saving and his brothers saving]
Computation:
It is given that if Pam saves $2 her brother saves $5
So,
Ratio [Pam to her brother] = 2/5
Ratio [Pam to her brother] = 2:5
-6x -4y + 8z = -18
3x + 2y - 4z = 9
2x - 5y + 2z = 5
Answers
Answer:
i am sorry i don't know but i will try to find the answers as soon as possible i am sorry
This table represents a proportional relationship. Use the table to identify the constant of proportionality between the ratio of the number of laps to the number of swimmers. A 2-column table with 4 rows. Column 1 is labeled Number of Swimmers with entries 20, 18, 14, 9. Column 2 is labeled Number of Laps with entries 240, 216, 168, 108.
Answers
Answer:
12
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
the l.c.m of 5ab and 3ab
Answers
Answer:
The answer is 15ab. You can just simply multiply the two given number
Point O is on line segment NP. Given OP = 10, NP = 2x, and NO = x + 7,
determine the numerical length of NO.
Answers
Answer:
Step-by-step explanation:
?
Answer:
Its 24
Step-by-step explanation:
Evaluate: -0.7 - (-2.6 + -0.8) + 7.1
Answers
Answer:
8.36
Step-by-step explanation:
[tex]-0.7-(-2.6+ -0.8) +7.1\\ (add inside the parenthesis)\\\\-0.7 - 3.4 + 7.1\\\\=8.36[/tex]
An automobile travels 471 miles in 8 hours.
183
What is the average speed of the automobile to the nearest mile per hour?
Answers
Because if they traveled 471 miles within 8 hours you would divide. 471 divided by 8=59
What is the least common multiple (LCM) of 5 and 12?
Answers
Answer:
60
Step-by-step explanation:
asked google
Answer:
60
Step-by-step explanation:
5: 5 10 15 20 25 30 35 40 45 50 55 60 65 70
12: 12 24 36 48 60 72 84
If s(x) = x - 7 and t(x) = 4x2 – X + 3, which expression is equivalent to (tºs)(x)?
Answers
Answer:
4x² - 57x + 206
Step-by-step explanation:
To evaluate (t ￮ s)(x), substitute x = s(x) into t(x) , that is
t(x - 7)
= 4(x - 7)² - (x - 7) + 3 ← expand (x - 7)² using FOIL
= 4(x² - 14x + 49) - x + 7 + 3
= 4x² - 56x + 196 - x + 10 ← collect like terms )
= 4x² - 57x + 206
Someone help FAST ! It’s talking about integers.
Answers
Answer:
#1. 9
#2. -50
#3. -53
#4. 7
Determine if the following relation represents a function or not.
{(2,3), (4,3), (6,3), (5,9), (3,9)}
Answers
Answer:
It is a function.
Step-by-step explanation:
Functions are relations in which one domain value is assigned to exactly one range value. The x-value must not repeat in the relation set for it to be a function.
{(2,3), (4,3), (6,3), (5,9), (3,9)}
There are no repeating x-values given.
The relation should be a function.
Hope this helps.
Functions are relationships where a single domain value is allocated to a single range value precisely. For a relation set to be a function, the x-value cannot repeat.
What is a Set?The simplest definition of a set in mathematics is a grouping of unique items. Any collection of elements, such as a group of numbers, hours of the week, different kinds of automobiles, etc., might be considered a set.
A set's elements are all the items that make up the set.
As per the given data in the question,
{(2,3), (4,3), (6,3), (5,9), (3,9)}
Due to the absence of repeated x-values.
So,
The relationship need to be functional.
To know more about set:
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1,221 kids signed up for summer baseball. If the league has 32 teams and split the kids up evenly among the teams, how many kids would be placed on each team? Select the best response from below.
Answers
Answer:
38 kids on each team about.
I am Not 100% sure but I hope this Helps!
So D.
400 thousen times 600 times 30 divide by 32 plus 1
Answers
Step-by-step explanation:
400,000x600x30/32+1
400,000x600=240,000,000x30=7,200,000,000/32=
225,000,000+1=225,000,001
Really? -_-