how do you graph the linear function g(x)=−4+7x
Answers
The y intercept is negative four so in the y axis it is going to intercept at negative 4
The graph of the function g(x) = -4 + 7x is shown in the picture which is a linear function.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The function is:
g(x) = -4 + 7x
The slope of the above function is:
m = 7
The y-intercept is c = -4
As we know, the linear function can be defined as the relation between two variables, if we plot the graph of the linear function we will get a straight line.
The graph of the function g(x) can be plotted on the coordinate plane.
Thus, the graph of the function g(x) = -4 + 7x is shown in the picture which is a linear function.
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Related Questions
Answers here or on your
own paper
Description:
Equation:
Jada and Noah counted the number of steps
they took to walk a set distance. To walk the
same distance, Jada took 8 steps while Noah
took 10 steps. Then they found that when
Noah took 15 steps, Jada took 12 steps.
Let a represent the number of steps
Jada takes and let y represent the
5
number of steps Noah takes.y =
a. Create a table that C. How can you see or
represents this calculate the constant of
situation with at proportionality in each
least 3 pairs of representation? What
values.
does it mean?
b. Graph this d. Explain how you can tell
relationship and
that the equation,
label the axes. description, graph, and
table all represent the
same situation.
V Illustrative
Mathematics
Unit 3 • Lesson 3. Activity 2
Kendall Hunt
eaker notes
Answers
Answer/Step-by-step explanation:
Given:
When Jada took 8 steps, Noah took 10 steps
When Jada took 12 steps, Noah took 15 steps
a. The following table can be created as follows given that x = steps taken by Jada, and y = steps taken by Noah:
From the info given, the ratio of Noah's steps to Jada's steps is 15 : 12 = 10 : 8 = 5 : 4 = ⁵/4.
Use this ratio to create a table of 3 pairs of values as shown below.
Jada's Steps (x) ===> Noah's steps (y)
4 ===> 5
8 ==> 10
12 ==> 15
b. The graph of that shows this relationship has been attached below. Check the attachment.
c. Constant of proportionality can be calculated in each representation as follows: y/x = k. Where y is steps taken by Noah, x is for steps taken by Jada, and I is constant of proportionality.
Thus,
Constant of proportionality (k) = 15/12 = ⁵/4
This means, for every 5 steps taken by Noah, Jada takes 4 steps.
This relationship is represented by the equation, y = ⁵/4x.
The ⁵/4 in the equation is the constant of proportionality of their relationship.
d. The equation, description, graph, and table all represent the same situation because they all show the same constant of proportionality between x and y.
In the equation, ⁵/4 represents the constant of proportionality. In the graph, the slope is ⁵/4, which is also the same last constant of proportionality.
In the table, the constant of change in each pair is ⁵/4 all through.
Which number line represents all of the values of x for the equation x2 = 36?
Answers
Answer:
x is 18
Step-by-step explanation:
x is 18 because 18 x 2 = 36
Answer:
-6 and 6 are values of x on number line
Step-by-step explanation:
i took the test :)
I need help please and thank you
Answers
Answer:
F=3x+2/2x
Step-by-step explanation:
Compare solving inequalities to equations ?
Answers
Answer:
Solving Inequalities is very similar to solving Equations.
If you multiply or divide one side of an equation or inequality by the same number, you have to multiply or divide the other side of the equation or inequality by the same number.
The difference between solving equations and solving inequalities is: If you multiply or divide an inequality by a negative number, then the inequality reverses.
The comparison between inequalities and equation written down below.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other.
To solve the inequality,
you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
To solve an equation,
Remove parentheses and combine like terms to simplify each side of the equation. To isolate the variable term on one side of the equation, use addition or subtraction. To find the variable, use multiplication or division.
Hence, the process of solving equations and inequalities.
To learn more about the inequality in mathematics;
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Jack and Jill are saving for their first car. Jack saves $7 for
every $10 Jill saves. If Jill has $350 in her savings account,
then how much has Jack saved?
Answers
Answer:
Jack has saved $245.
Step-by-step explanation:
You divide $350 by $10, and you get 35. Then multiply Jack's $7 by 35 and you get $245!
Hope this has helped you! :)
Happy Halloween!~
how many times larger 1 kilogram than 1 gram
Answers
Answer:
1000
Step-by-step explanation:
1000/1=1000
I need to type more for some reason
Which of the following statements best describes the location of −(−5) on a number line?
It is 5 units to the left of 0.
It is 5 units to the right of 5.
It is 5 units to the left of 5.
It is 5 units to the right of 0.
Answers
Answer:
24 million
Step-by-step explanation:
thank me later
Can someone help with this?
Answers
Answer:
x<_2
Step-by-step explanation:
Its the second answer choice.
3x<_6
Divide 3 by both sides and you get the answer.
Answer:
x≤18
Step-by-step explanation:
it's either x≤2 or x≤18 since it says a number less than or equal to
14. See the image below:
Answers
Answer:
c
Step-by-step explanation:
HELP ANSWER ASAP!!
The solution set for -18 < 5x - 3 is ____.
a) 3 > x
b) -3 > x
c) 3 < x
d) -3
Answers
Answer:
I really don't know the answer but it might be c because that makes the most sense out of all of them
...................pic below..............................
Answers
Five take away three times two
( Bodmas)
Answers
Answer:
4
Step-by-step explanation:
5 - 3=2x2=4
Find the solution of the system of equations.
–6 - 2y = -40
- 7x – 2y = -44
Answers
Answer:
Step-by-step explanation:
(x,y) = (48/7, -22)
I need help, giving brainliest.
Answers
Answer:
1) C
Step-by-step explanation:
I don't think any of the answer choice below no. 2 is correct
no.2) -22/-31
barbara made cookes for her sons football team.she made 3 cookes for each player there are 23 players how many cookes she make altogether
Answers
Which matrix represents the solution to the system of equations below?
2a+b+c=2
-a+b-C=-4
a-2b+2c= 6
Answers
Answer:
A!
Step-by-step explanation:
Edge 2021 :)
The solution to the system of equations is a=2, b=-2 and c=0
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equations are
2a+b+c=2 ...(1)
-a+b-C=-4 ...(2)
a-2b+2c= 6 ...(3)
Isolate a for 2a+b+c=2
a=2-b-c/2
substitute a in equation 2 and 3
-2+b+c/2 -b-c=-4
2-b-c/2-2b+2c=6
(3b-c-2)/2=-4
5b+3c+2/2=6
Isolate b for (3b-c-2)/2=-4
b=c-6/3
By simplification we get a=2, b=-2 and c=0
Hence, the solution to the system of equations is a=2, b=-2 and c=0
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(-16t - 2)(t - 5) is the same as 10+78t-16t^2 but in factored form. Explain how you know,
basically help me convert the factored form into the standard form
Answers
Answer:
10+78t-16t^2
Step-by-step explanation:
(-16t-2)(t-5)
-16t × t= -16t²
-16t × -5=80t
-2 × t= -2t
-2 × -5=10
-16t²+80t-2t+10= -16t^2+78+10
Can someone help me please?
Answers
Answer:
Instead of shane just taking all the exponents and counting them one by one, she could have added all the exponents because that's what you're supposed to do when multiplying exponents.
What is the opposite of -1.2
Answers
Answer:
-1.2
Step-by-step explanation:
Answer:
1.2
Step-by-step explanation:
i think so i dont really know but give brainliest if its right pls :D
f(x) = 3x2 – 12x +1
find the vertex.
Answers
Answer:
(2,-11) is the vertex
Answer:
(2, -11)Step-by-step explanation:
[tex]f(x)=3x^2-12x+1\\\\f(x)=3(x^2-4x)+1\\\\f(x)=3(x^2-2\cdot x\cdot2+2^2-2^2)+1\\\\f(x)=3(\underline{x^2-4x+4}-4)+1\\\\f(x)=3[(x-2)^2-4]+1\\\\f(x)=3(x-2)^2-12+1\\\\f(x)=3(x-2)^2-11[/tex]
the vertex form of parabola's equation is: f(x) = a(x - h)² + k with vertex (h,k)
x-h = x-2 ⇒ h = 2
+k = -11 ⇒ k = 11
Subtract the expression :
- 5x + 3x - 24
Plzz ....answer....plzzz
Answers
Answer:
-2x-24
Step-by-step explanation:
-5x+3x-24 = - 2x-24
Answer:
-2x-24 hope dis helped
Help pleaseeeeeeeeee
Answers
Reflecting across the y axis followed by rhe x atation 180 degrees clockwise
Rotation 180 counterclowise
Find the solution set for 9x2 = 144?
ANSWER PLEASE
BRAINLY AND 74 points
Answers
Answer:12
Step-by-step explanation:
Please reply quickly and explain if you can thanks
Answers
Answer:
36
Step-by-step explanation:
k(6)= (6)²
A________is a_________ in which a figure is enlarged or reduced
Answers
Answer:
Center of Dilation
Step-by-step explanation:
in a dilation, the fixed point about which the figure is enlarged or reduced
Rewrite each statement using the appropriate mathematical language 1. There exists a number b belonging to the set B 2. Even numbers are in the set of integers 3. The set of natural numbers belongs to the set of integers, which belongs to the set of rational numbers, which belongs to the set of real numbers 4. Every negative integer J is less than or equal to its inverse
Answers
Answer:
1. b ∈ B 2. ∀ a ∈ N; 2a ∈ Z 3. N ⊂ Z ⊂ Q ⊂ R 4. J ≤ J⁻¹ : J ∈ Z⁻
Step-by-step explanation:
1. Let b be the number and B be the set, so mathematically, it is written as
b ∈ B.
2. Let a be an element of natural number N and 2a be an even number. Since 2a is in the set of integers Z, we write
∀ a ∈ N; 2a ∈ Z
3. Let N represent the set of natural numbers, Z represent the set of integers, Q represent the set of rational numbers, and R represent the set of rational numbers.
Since each set is a subset of the latter set, we write
N ⊂ Z ⊂ Q ⊂ R .
4. Let J be the negative integer which is an element if negative integers. Let the set of negative integers be represented by Z⁻. Since J is less than or equal to its inverse, we write
J ≤ J⁻¹ : J ∈ Z⁻
Translate (-5,4) to the right 2 units Then reflect the result over the y-axis What are the coordinates of the final point
Answers
Answer: 3,4
Step-by-step explanation:
this graph shows how fast the International Spacd Station travels in orbit around Earth. what is the meaning of the point with an x-coordinate of 2
Answers
Answer:
have you found the answer I need it to
How can you find the area of a shape with fractional or decimal side lengths?
Answers
Answer:
You convert the fractions to a decimal, nut the rest is still the same
Step-by-step explanation:
Triangle QRS has vertices at Q(3,6), R(2, 3), and S(3,-2). If the triangle is dilated by a scale factor of į, what will be the coordinates of
R'?
Answers
Answer:
C
Step-by-step explanation:
Assuming the dilatation is centred at the origin, then multiply the coordinates of the point by the scale factor, that is
R(- 2, 3 ) → R'([tex]\frac{1}{3}[/tex](- 2), [tex]\frac{1}{3}[/tex](3) ) → R'( - [tex]\frac{2}{3}[/tex], 1 ) → C
