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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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:
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
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
picture, brainliest
Answers
Answer:D
Step-by-step explanation:
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 :)
Solve for: n/6=4/2 ?
Answers
Answer:
n = 12
Step-by-step explanation:
Given
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Answer:
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Step-by-step explanation:
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Explanation
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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
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Answer:
[tex]{ \boxed{a = 3.75}}[/tex]
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Step-by-step explanation:
[tex](4.46 \times {10}^{9} ) \times (8.4 \times {10}^{6} ) \\ = 3.7464 \times {10}^{16} \: breaths[/tex]
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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.
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Explanation:
260,000 x 1.075^14 = 715635.45277
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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
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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?
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Answer:
Look below.
Step-by-step explanation:
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Please help with this, will give brainliest.
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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
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Answer:
B
Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Step-by-step explanation:
Answer:
3 5/12
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Answers
=>10³
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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)
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Learn more about the distributive property here:
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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:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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STEP BY STEP PLS I WILL MARK BRAINLIEST PYTHAGORUS THEOREM
Answers
C= 25^2 + 10^2
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la raíz cuadrada entre 3
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:
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= 10,985 students