Given the following linear function sketch the graph of the function and find the domain and range. ƒ(x) = -5x + 4
Answers
Answer:
Domain: (-∞,∞)
Range:(-∞,∞)
Step-by-step explanation:
The sketch of the given function has been attached and the domain and range both will be (-∞,∞ ).
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A function that fluctuates linearly with respect to the changing variable is referred to as being linear.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
Given the function,
ƒ(x) = -5x + 4
Range of the function ;
Since the value of the function is defined for all real x and the value will be unique so
Range = (-∞,∞ ).
The domain of the function ;
Since it is defined for all real x so,
Domain = (-∞,∞ )
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Related Questions
A line has a slope of Negative three-fourths and passes through the point (–5, 4). Which is the equation of the line?
y = negative three-fourths x + one-fourth
y = negative three-fourths x + 4
y = negative three-fourths x minus 2
y = negative three-fourths x minus one-fourth
Answers
The answer is A. y=-3/4x+1/4
The required equation of the line is y = (-3/4)x - 2 which passes through the point (–5, 4). The correct answer would be an option (C).
What is the slope of the line?The slope of a line is defined as the gradient of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Let the required equation of the line would be as:
y - y₁ = m(x - x₁)
Since the line passes through the point (–5, 4) and slope m = -3/4
So substitute the values in the above equation, and we
y - (-5) = (-3/4)(x - 4)
y + 5 = (-3/4)x - (-3/4)4
y + 5 = (-3/4)x + 3
y = (-3/4)x + 3 - 5
y = (-3/4)x - 2
Thus, the required equation of the line is y = (-3/4)x - 2.
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If B is in the interior of ∠DEF, m∠DEB = 27.2, and m∠DEF = 92.5, find m∠BEF. (Lesson 2-7)
Answers
Answer:
m∠BEF = 65.3°
Step-by-step explanation:
Given:
m∠DEB = 27.2,
m∠DEF = 92.5
Required:
m∠BEF
SOLUTION:
Since B is the interior of ∠DEF, it means ∠DEB and ∠BEF are adjacent angles that make up ∠DEF. And they share the same side, BE.
Therefore:
m∠BEF + m∠DEB = m∠DEF (angle addition postulate)
m∠BEF + 27.2 = 92.5
Subtract 27.2 from each side
m∠BEF + 27.2 - 27.2 = 92.5 - 27.2
m∠BEF = 92.5 - 27.2
m∠BEF = 65.3°
Answer:
92.5 and 27.2 and 65.3 will be the answer.
if i = √-1, then i^2 = ?
Answers
Because if i is square root of -1, squared would take out the square root
Ik it’s a bit confusing with my wording
The imaginary unit i is exactly defined as a number that gives -1 when squared.
So, by its very definition, you have the attachment I have attached as an answer.
Zuri is stuck in traffic. She notices that she only drove 3 miles in 15 minutes. Find Zuri's speed in miles per minute. Express your answer as a decimal (which will be less than 1).
Answers
Answer:
0.2 miles per minutesStep-by-step explanation:
We are expected to solve for speed with which she moves
Step one:
given data
distance = 3 miles
time taken t= 15 minutes
Step two:
we know that speed is
Speed= distance/time
Speed= 3/15
Speed= 1/5
Speed=0.2 miles per minutes
What is the solution to the equation?
Answers
Answer:
-63
Step-by-step explanation:
It is possible to get 2 solutions when the system of equations is: (check all that apply)
A system of 2 linear equations in 2 variables
A system of 3 linear equations in 3 variables
A system of the equation of a circle and a linear equation
A system of the equation of a parabola and a linear equation
Answers
Answer:
A system of the equation of a circle and a linear equation
A system of the equation of a parabola and a linear equation
Step-by-step explanation:
Let us verify our answer
A system of the equation of a circle and a linear equation
Let an equation of a circle as [tex]x^2+ y^2 = 1[/tex] ..........(1)
Let a liner equation Y = x ............(2)
substitute (2) in (1)
[tex]x^2 + x^2 = 1\\2x^2 = 1\\[/tex]
[tex]x^2 = \frac{1}{\sqrt{2} } \\x = +\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }[/tex] so Y = [tex]+\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }[/tex]
so the two solution are ( [tex](\frac{1}{\sqrt{2} } ,\frac{1}{\sqrt{2} }) (-\frac{1}{\sqrt{2} }, -\frac{1}{\sqrt{2} }[/tex])
A system of the equation of a parabola and a linear equation
Let equation of Parabola be [tex]y^2 = x[/tex]
and linear equation y = x
substitute
[tex]x^2 = x\\x^2 - x= 0\\x(x-1) = \\x = 0 , 1[/tex]
Y = 0,1
so the two solutions will be (0,0) and (1,1)
( − .3 s − 2 ) + 2 ( 5 − 3.4 s )
Answers
Answer:
−7.1s+8
Step-by-step explanation:
First Distribute
=−0.3s+−2+(2)(5)+(2)(−3.4s)
=−0.3s+−2+10+−6.8s
Combine Like Terms:
=−0.3s+−2+10+−6.8s
=(−0.3s+−6.8s)+(−2+10)
=−7.1s+8
Answer:
−
7.1
s
+
8Step-by-step explanation:
−7.1s+8
4. If you are given that plq and p || r,
what can you conclude about lines q and r?
State the theorem that justifies that conclusion.
Answers
What is an equation of the line with a y-intercept of `-5` and a slope of -3/5?
Answers
Answer:
Step-by-step explanation: 5=-3/5 that is how it is written in slope form.
Avery owns a small business selling ice-cream. She knows that in the last week 6
customers paid cash, 48 customers used a debit card, and 16 customers used a credit
card.
If next week, she is expecting 400 customers, about how many would you expect to
pay with a credit card? Round your answer to the nearest whole number.
Answers
Answer:
About 91 customers would be expected to pay with a credit card.
Step-by-step explanation:
Well you have ro set up a ratio of 16/70 = x/400
This way the amount of people that used a credit card out of all of the people that came and you can figure out the amount of people that will use a credit card out of the 400 people that are expected tho come. You multiply like a butterfly. 70 times x and 400 by 16. Then you will get 6,400=70x divide both sides by 70 and get 91.42=x so if ypu round, 91 people are expected to pay using a credit card out of the 400 customers that are expected to come.
A stadium charges $75 for each seat in section A, $50 for each seat in section B, and $40 for section C. There are three times as many seats in section B as in section A. The revenue from selling odd 20,000 seats is 897,500. Write a system to represent the situation.
A. b=3×c
a+b+c=20,000
75a+50b+40c=897,500
B. b=3×a
a+b+c=20,000
75a+50b+40c=897,500
C. a=3×b
a+b+c=20,000
40a+50b+75c=897,500
D. a=3×b
a+b+c=20,000
75a+50b+40c=897,500
Answers
Answer:
B. b=3×a
a+b+c=20,000
75a+50b+40c=897,500
Step-by-step explanation:
A stadium charges
$75 for each seat in section A
$50 for each seat in section B
$40 for section C.
There are three times as many seats in section B as in section A.
a = 3× b
The revenue from selling odd 20,000 seats is 897,500.
a + b + c = 20,000 seats
Hence,
$75 × a + $50 × b + $40 × c = 897,500
75a + 50b + 40c = 897,500
Hence, the system of equations is :
B. b=3×a
a+b+c=20,000
75a+50b+40c=897,500
Percentage rate of increase or decrease y = 3500(1.079)
Answers
Answer:
Increase
Step-by-step explanation:
If you multiply the numbers it increases!
PLEASE HELP CORRECT ANSWER GETS BRAINLIEST !
Answers
Answer:
2nd Option
Step-by-step explanation:
In the fraction 7/8 , the Numerator Denominator is 7.
Answers
Answer:
The numerator
Step-by-step explanation:
numerator is the top
denominator is the bottom
which is the correct curve for y=3/x
What is b) please help I will give 5 points or even all of them. PLEASE PLEASE PLEAS HELP!!!!!
Answers
Answer:
A
Step-by-step explanation:
If we evaluate 3/x at x=1, we get 3/1 = 3.
The only one that showed that is graph A, and we can further check by evaluating other points, such as when x = 1/2, y = 6, and that's shown on graph A.
If this helped, consider giving brainliest.
Graph A, correctly represents the function y = x/3.
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
From the table of y = 3/x,
The value of (x, y) are (0.5, 6), (1, 3), (2, 1.5), (3, 1) and (4, 0.75).
Now, Observe graphs A, B, and C.
Graph A, when x = 0.5, y = 6, when x = 1 y = 3 so graph A matches with our table.
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(20 POINTS PLEASE HELP)
Find the reciprocal of the expression.
10b/2b+8
See image attatched below for the options given
Answers
Answer:
it the first one cause you adding so it 8b plus 2
I need help with this slope problem
Answers
Answer:
what is it? you did not post the picture
what is 7-3+6+x equal ??
Answers
Answer:10+x
Step-by-step explanation:
X=-10
Hope that helps!
In the picture lines A B and CD are parallel. Find the measures of the following angles. Explain your
reasoning.
1. ZBCD
2. ZECF
3. ZDCF
Answers
2) 38 bc of corresponding angles
3) 142 bc of supplementary angles and alternate exterior angles
Help me solve this problem please
Answers
Answer:
y = -2x + 17
Step-by-step explanation:
y has to equal 5:
incorrect
y = -2x - 17
y = -2(6) - 17
y = -12 - 17
y = -29
incorrect
y = -2x - 16
y = -2(6) - 16
y = -12 - 16
y = -28
incorrect
y = -2x + 16
y = -2(6) + 16
y = -12 + 16
y = 4
correct
y = -2x + 17
y = -2(6) + 17
y = -12 + 17
y = 5
Solve by the substitution method.
-3x – 3y = 3
y=-5x – 17
Answers
Answer:
postive 6
Step-by-step explanation:cause negative plus a negative equals a postive
Find the slope of the line y = 2x + 3.
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer:
proper fraction
Step-by-step explanation:
use the numbers 1,3,4,6 exactly once with any basic math operation(multiplication,division,addition and subtraction) to total 24
Answers
Step-by-step explanation:
It is 4*6! We have to play with these numbers (1,3, and 4) to create 4, or we have to play with these numbers (1,3, and 6) to create 6.
If you divide 6 by 1/4, you will get 24.
If you divide 4 by 1/6, you will get 24.
How to create 1/4 from 1,3, and 4?
How to create 1/6 from 1,3, and 6?
Creating 1/4 from 1,3, and 4 is possible by doing this: 1–3/4, it is =1/4!
So, the answer is 6/[1–3/4]=24.
You can't multiply 1 and 3 in numerator because you won't get 24, and you can't even divide it by 1,3 .
So only way is to get 1 in the denominator which can be obtained by
6/(1–(3/4)
which simplifies to 6/(1/4) = 24
Find the length of the arc on a circle with a radius of 7 centimeters and a central angle of 74 degrees
Answers
Answer:
Length of arc: 9.04cm
Step-by-step explanation:
Circumference = pi x diameter (or radius times 2 in this case)
C = pi x (7 x 2)
C = pi x 14
C is equal to around 43.98cm
In order to find the length of the arc, you use the central angle and turn it into a fraction, and then multiply that fraction by the circumference.
74 degree angle/ 360 degrees --> 74/360
74/360 x 43.98 = 9.04cm
help i’m timed pllzzzzz
Answers
Answer:
[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]
Step-by-step explanation:
The standard form of trinomial is given as:
[tex]ax^2+bx+c[/tex]
And the factored form is:
[tex](px+r)(qx+s)[/tex]
In order to find the values of a,b and c in terms of p,q,r and s we will take the factored form, multiply it and then compare it with the standard form.
So,
[tex](px+r)(qx+s)\\=px(qx+s)+r(qx+s)\\= pqx^2+psx+qrx+rs\\= pqx^2+(ps+qr)x+rs[/tex]
Now comparing it with the standard form of trinomial
We will compare the co-efficients of x^2, x and the constant
By comparing, we get
[tex]a = pq = p*q\\b = ps+qr = (p*s)+(q*r)\\c = rs = r*s[/tex]
Hence,
[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]
Nate is saving money for the class trip to Chicago. He already has 300$ saved up so far and can save an additional 50$ each month. If the trip costs 850 how many months will it take him to have enough for the trip?
Answers
Answer:
11 months
Step-by-step explanation:
Nate needs $850 total, and he already has $300. So, the money left that he needs is 850-300 which is $550.
Now, he can save $50 each month, and we need to find the amount of months, x, it will take to reach his goal.
He needs $550, to the equation is:
50x=550
We need to isolate x, so we divide both sides by 50.
x=11
It will take Nate 11 months to save for the trip.
Answer:
11 months
Step-by-step explanation:
850-300=550
550÷50=11
BRAINLY FOR RIGHT ANSWER AND STEP BY STEP LOTS OF POINTS BTW
A car’s fuel economy E(miles per gallon) is given by the formula E=mg, where m is the number of miles driven and g is the number of gallons of fuel used.
Solve the formula for m.
If Sally’s car has an average fuel consumption of 30 miles per gallon and she used 9.5 gallons, how far did she drive?
Answers
Answer:
60 miles
Step-by-step explanation:
1. Fill in the blank: The value of 8 dimes is ___
% of the value of a dollar.
2. Name a combination of coins that is 130% of the value of a dollar.
Answers
Answer:
1. 80%.
2. 2 quarters, 3 dimes, 4 nickels, 30 pennies. (if you don't use pennies make it 6 dimes.)
PLS PLS PLS HELP MEEEEE HIGH POINTS PLS ANSWER CORRECTLY I NEEEED U
In parallelogram WXYZ, the shorter sides are half the length of the longer sides.
Parallelogram W X Y Z. The length of sides W X and Z Y are 12 inches. Angle Y is 120 degrees. Angle Y is opposite to Angle W.
Which statements are true? CHECK ALL THAT APPLY.
A. Quadrilateral WXYZ is a rectangle.
B. The quadrilateral has opposite sides that are parallel.
C. The quadrilateral has opposite angles that are congruent.
D. If W X = 12 in., then X Y = 6 in.
E. Side WZ must be 12 inches.
F. mAngle Z = measure of angle X
G. Measure of angle W = 120 degrees
H. Measure of angle Z = 120 degrees
Answers
Answer:
B
E
H
I think this is right
For the given parallelogram following statements are true
B. The quadrilateral has opposite sides that are parallel
F. Measure of angle Z = Measure of angle X
G. Measure of angle of W =120 degrees
What is parallelogram?
A parallelogram is a simple quadrilateral with two pairs of parallel sides
Given,
Shorter sides are half the length of the longer sides. Length of he side WX and ZY are 12 inches. Angle Y is 120 degrees. Angle Y is opposite to angle W
Draw the figure using the the data
Using the figure we can say that
The quadrilateral has opposite sides that are parallel
Measure of angle Z = Measure of angle X
Measure of angle of W =120 degrees
Hence, the correct options are B,F and G
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87% of 70 do not round
Answers
Answer:
60.9
Step-by-step explanation: