complete the remainder of the rule table for the given function rule:
y = -2x - 7
x: -6, -3, 0, 3, 6
y: 5, _, _, _, _
Answers
Answer:
x=-6
y=-2(-6)-7
y=5
x=-3
y=-2(-3)-7
y=6-7=-1
y=-1
x=0
y=-2(0)-7
y=-7
x=3
y=-2(3)-7
y=-6-7=-13
x=6
y=-2(6)-7
y=-12-7
y=-19
A functional rule is the relationship between an input or domain and an output or scope.
The given function is as follows:
x: -6, -3, 0, 3, 6
y: 5, -1, -7, -13, -19
What is meant by function rule?A functional rule is the relationship between an input or domain and an output or scope. A relation is a function only if it has a value within each domain value. Functions are written like where is the input value. The general form of the function is:
A vertical test is run graphically to determine if the relationship is a function.A formula, rule, or law that defines the relationship between one variable (the independent variable) and another (the dependent variable).Functions are ubiquitous in mathematics and essential in the natural sciences for formulating physical relationships.A formula, rule, or law that defines the relationship between one variable (the independent variable) and another (the dependent variable). Functions are ubiquitous in mathematics and essential in the natural sciences for formulating physical relationships.
Let the given function be y = -2x - 7.
Where, x = -6
substitute the values in the above equation, we get
⇒ y = -2(-6) - 7
⇒ y = 5
Let the value of x = -3
substitute the values in the above equation, we get
⇒ y = -2(-3) - 7
⇒ y = -1
Put, x = 0
substitute the values in the above equation, we get
⇒ y = -2(0) - 7
⇒ y = -7
Put, x = 3
substitute the values in the above equation, we get
⇒ y = -2(3) - 7
⇒ y = -6 - 7 = -13
Put, x = 6
substitute the values in the above equation, we get
⇒ y = -2(6) - 7
⇒ y = -19
The given function is as follows:
x: -6, -3, 0, 3, 6
y: 5, -1, -7, -13, -19
To learn more about Functions, refer to:
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Related Questions
Write The equation or the line in slope intercept form
Answers
Answer:
y = -3x + 5
Step-by-step explanation:
slope intercept form - y = mx + b
where m = slope and b = y intercept
step 1 identify the slope
slope = change in y over change in x.
Looking at the graphed line, as y goes up 6 x goes down 2
Hence, slope (m) = 6 / - 2 or -3
Step 2: identify the y intercept ( b )
b = The y value of the coordinate where the line passes the y axis.
The line passes the y axis at point ( 0 , 5 )
The y value of that coordinate is 5
Therefore b = 5
Step 3 add everything together
y = mx + b
* replace m with -3 and b with 5 *
the equation of the line in slope intercept form is y = -3x + 5
PLEASE HELP IOLL GIV EBRAINLIEST ANSWER!!
Answers
Answer:
8 1/3 meters
Step-by-step explanation:
set up a proportion of corresponding sides:
TE/AY = JT/DY
25/AY = 18/6
cross-multiply:
18AY = 150
AY = 150/18 which is 8 1/3
1) Is it a function?
Please help
Answers
Answer:
Hi, there your answer is yes it is a function
Step-by-step explanation:
A function is when x is not repeating itself like -3, 3
A not a function is when x is repeating for example like 3,3
Hope this Helps :)
PLEASE ANSWER QUICK!! what’s the correct answer?
Answers
Answer:
48r
Step-by-step explanation:
The recursive formula for a geometric sequence
Answers
Step-by-step explanation:
would you still like me to help you with this question
please help me, i need it right now !!
Answers
Answer:
Is it 63
Step-by-step explanation:
I need help no links or files they get removed by brainly
Finding a final amount in a word problem on exponential growth or decay
A city has a population of 260,000 people. Suppose that each year the population grows by 7.5%. What will the population be after 14 years?
Use the calculator provided and round your answer to the nearest whole number.
Answers
Explanation:
260,000 x 1.075^14 = 715635.45277
A ladder is placed 10 feet away from a tree. The length of the ladder is 25 feet. Find the height of the tree?
STEP BY STEP PLS I WILL MARK BRAINLIEST PYTHAGORUS THEOREM
Answers
C= 25^2 + 10^2
C= (25)(25)+ (10)(10)
= 625 + 100
= 725
square root of 725 is 26.9 ; you can round to the nearest tenth which will be 27 feet ! hope i helped(:
Someone help! What is 4 1/4-5/6?
Answers
Answer:
3 5/12
Step-by-step explanation:
Answer:
3 5/12
Step-by-step explanation:
4 1/4-5/6
Get a common denominator of 12
4 1/4 *3/3 - 5/6 *2/2
4 3/12 - 10/12
Borrow from the 4
3 + 12/12 + 3/12 - 10 /12
3 15/12 - 10/12
3 5/12
You have $12,000 invested that grows annually at a rate
of 3%. How much money will be in your account after one
year?
Answers
Step-by-step explanation:
12360 is the answer to the problem
What is the slope of a line that is perpendicular to the graph of y=
5/3 x + 8?
Answers
Answer:
-3/5
Step-by-step explanation:
The slopes of perpendicular lines are negative recipricals
The negative reciprocal of 5/3 is -3/5
help please!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
[tex]{ \boxed{a = 3.75}}[/tex]
[tex]{ \boxed{b = 16}}[/tex]
Step-by-step explanation:
[tex](4.46 \times {10}^{9} ) \times (8.4 \times {10}^{6} ) \\ = 3.7464 \times {10}^{16} \: breaths[/tex]
Can someone show me the steps to solving this?!?!!
Answers
Answer:
la raíz cuadrada entre 3
picture, brainliest
Answers
Answer:D
Step-by-step explanation:
PLEASE PLEASE HELP I REALLY NEED THIS!! THANK YOU
Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.
Answers
Answer:
12 right 6 up (12,6) and 3:1 or 3
Step-by-step explanation:
Fill in the blanks
With the options below
Answers
Answer:
The value of x = 33 units (Approx.)
Step-by-step explanation:
Given triangle is a right angle triangle;
So,
Base of triangle = 18 unit
Angle with base = 57°
Find:
The value of x
Computation:
Using trigonometry function;
Cosθ = Base of triangle / Hypotenuse triangle
Cos57 = 18 / x
0.544 = 18 / x
The value of x = 18 / 0.544
The value of x = 33.088
The value of x = 33 units (Approx.)
Please help with this homework
Answers
Answer:
Look below.
Step-by-step explanation:
1. 3000
2. 5000
3. 6000
4. 7000
Starting from left to right.
Angle 1 and angle 2 are shown in the diagram below.
Which of the following shows an equation that can be used to determine the measures of angle 1 and angle 2 and the actual measures of angle 1 and angle 2?
Equation: 90 = 25.8 + 3.5x
Angle 1: 64.2°
Angle 2: 25.8°
Equation: 90 =
Angle 1: 50.9°
Angle 2: 39.1°
⊝
Equation: 180 = 127.50 + 3.5x
Angle 1: 135.45°
Angle 2: 44.55°
Equation: 180 =
Angle 1: 127.5°
Angle 2: 52.5°
Answers
Answer:
Equation: 180 = 127.50 + 3.5x
Angle 1: 135.45°
Angle 2: 44.55°
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
9/4x + 101.7 + 1 1/4x +25.8 = 180
Change the mixed number to an improper fraction
9/4x + 101.7 + 5/4x +25.8 = 180
Combine like terms
14/4x +127.5 = 180
Subtract 127.5 from each side
14/4x = 180-127.5
14/4x = 52.5
Multiply each side by 4/14 to isolate x
x =52.5 * 4/14
x = 15
Angle 1 = 9/4x +101.7 = 9/4*15 + 101.7 = 33.75+101.7=135.45
Angle 2 = 1 1/4x +25.8 = 5/4 (15) +25.8 =18.75+25.8=44.55
The student enrollment of South High School was 1,350 students in 1995 and increased by 15% per year until 2010. Approximately how many students were enrolled at South High School in 2010?
Answers
Answer: 10,985 students
Step-by-step explanation:
You are given the original number of students, the rate of growth and the number of years. The Future value formula can therefore be used:
Number of students in 2010 = Number of students in 1995 * ( 1 + growth rate) ^ number of years
Number of years = 2010 - 1995 = 15 years
Number of students in 2010 = 1,350 * ( 1 + 15%)¹⁵
= 10,985 students
Jeremiah is saving money in a bank account. He opened the account with $25. Each month he adds the same amount of money to the account. After 8 months, the account has $505. Which equation can be used to calculate the amount of money in the account, y, after x months
Answers
Answer:
Step-by-step explanation:
y = ax + b
The trick is to solve for a.
y = 505
x = 8
b = 25
505 = a*8 + 25 Subtract 25 from both sides
-25 -25
480 = 8a
a = 60
What this means is that for each one of the 8 months, he added 60 dollars into his account
The equation is y = 60*x + 25
Which ordered pair is a solution for the system of equations
y= x - 1 and y = x2 - 4x + 3?
Answers
Answer:
(4,3),(1,0)
Step-by-step explanation:
There is a calculator that can solve this. its called mathaway.
CAN SOMEONE FIND THE VOLUME?
Answers
Explanation
Hey there! I don't see any attached picture, but I can totally help in the comments if you give me a description of it :)
Solve for: n/6=4/2 ?
Answers
Answer:
n = 12
Step-by-step explanation:
Given
[tex]\frac{n}{6}[/tex] = [tex]\frac{4}{2}[/tex] = 2 ( multiply both sides by 6 )
n = 12
what number multiplied by the expression 5x 10^3 is equivalent to the expression 5 x 10^6
Answers
=>10³
5 × 10³ × 10³ = 5 × 10⁶
The 10³ or 1000 is multiplied by the expression 5x 10^3 is equivalent to the expression 5 x 10^6 option third is correct.
What is distributive property?The distributive property is the property that expresses the distributive law of algebraic multiplication for example we can write a(c+b) in the form of (ac+bc).
We have an expression:
= 5×10³
We have to make the above expression equivalent to the [tex]5\times 10^6[/tex]
Let's suppose the number is x.
Now according to the question:
[tex]\rm (5\times10^3)\times x = 5\times 10^6[/tex]
[tex]\rm x = \frac{5\times 10^6}{(5\times10^3)}[/tex] (divide by 5×10³ on both sides)
x = 10³ (after simplification)
x = 1000
Thus, the 10³ or 1000 is multiplied by the expression 5x 10^3 is equivalent to the expression 5 x 10^6 option third is correct.
Learn more about the distributive property here:
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PEASE HELP IM BEING TIMED
On a map of North Carolina, the distance between Raleigh and Charlotte is 1 point
3 inches. The scale on the map is 1 inch = 40 miles. What is the actual
distance?
Answers
Answer:
52 miles
Step-by-step explanation:
You can use simple law of proportions to calculate this one.
[tex]\frac{1.3 inch}x} = \frac{1inch}{40mile}\\x= 52 miles[/tex]
solve for x and you get 52 miles.
I have added a similar example below if that helps further explain this.
Please help with this, will give brainliest.
Answers
Explanation:
The negative exponent means we apply the reciprocal to get the exponent to be positive.
The rule is (a/b)^(-c) = (b/a)^c
That means (1/4)^(-3) = (4/1)^3 = 64 which is a whole number.
Something like 2^(-3) = 1/(2^3) = 1/8 = 0.125 isn't a whole number, so we can cross that off the list. The same goes for choices A and C as well.
Answer:
B
Step-by-step explanation:
1/1 ÷ (1/4)³ = 1 x 4³ = 64
HELP ME PLEASE!!! THANK YOU!
Answers
Answer:
down v
Step-by-step explanation:
1=20 mph
2=40 mph
3 1/4= 60.5 mph(im not sure if its correct but.)
.5 mph=10
2.5 mph=50
thats all i know
The circumference of a circle is 6.28 meters. What is the circle's radius?
C = 6.28 m
Answers
Which is the standard equation for a circle centered at the origin with radius r?
Answers
Answer:option D is correct
Step-by-step explanation:
The Hunt family's pancake recipe uses 2 teaspoons of baking powder for every 1 3 of a teaspoon of salt. How much baking powder would they need if they used 1 teaspoon of salt?