Answer:
y = 70x + 150
Step-by-step explanation:
y-intercept: 150
slope: 70x
Let x represent the amount of hours the electrician spent in the house.
Answer:
C=150+70t
Step-by-step explanation:
In this equation, C stands for the total cost, and t stands for the number of hours worked. Since 150 is a set fee it must be a constant in the equation and to must be added to the hourly cost. 70 must be multiplied by t because the electrician charges 70 dollars for every hour he works. Then, both the set fee plus the hourly fee together equal the total cost.
I need help finding the value of x please.
Answer:
X = 12
Measure of exterior angle = 80
Step-by-step explanation:
Angles P and Q are equal to the right side of R ( solve for x )
24)The table represents some points on the graph of a linear function. Which function represents the same relationship?
A) g(x) = 2x
B) g(x) = x - 3
C) g(x) = x - 8
D) g(x) = 2x - 8
25)Which system of equations could be used to solve for the point of intersection of the lines on the graph?
A) y = 3/4x + 1 and y = -4/3x + 9
B) y = 3/4x - 1 and y = -4/3x + 9
C) y = 3/4x - 1 and y = -3/4x = 9
D) y = 4/3x + 1 and y = -4/3x + 9
Answer:
A) D) g(x) = 2x - 8
2) B) y = 3/4x - 1 and y = -4/3x + 9
Step-by-step explanation:
1)
In the table, we have the points
(5, 2)
(7, 6)
(9, 10)
(10, 12)
This seems to be a linear relationship, so let's try that:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1)
If we use the first two points, we get the slope:
a = (6 - 2)/(7 - 5) = 4/2 = 2
if we use the first and last point, we get the slope:
a = (12 - 2)/(10 - 5) = 10/5 = 2
Then we can conclude that this is a linear relationship with a slope equal to 2.
y = 2*x + b
To find the value of b, we can just replace any of the points of the data table in the equation, for example, i will use the point (5, 2).
this means that x = 5, and y = 2.
2 = 2*5 + b
2 = 10 + b
2 - 10 = b
-8 = b
Then the equation is:
y = 2*x - 8
the correct option is: D) g(x) = 2x - 8
2) Here we have two lines, notice that we can with just looking at the image, know the y-intercept of each line.
The one with a positive slope (grows to the right) has a y-intercept = - 1.
The one with a negative slope (grows to the left) has a y-intercept = 9.
The two options that match this condition are:
B) y = 3/4x - 1 and y = -4/3x + 9
C) y = 3/4x - 1 and y = -3/4x + 9
Where the only difference is the slope of the black line.
so et's check which slope matches that line.
In the graph we can see that it passes through the points:
(0, 9) and the point (6, 1)
Then the slope is:
a = (1 - 9)/(6 - 0) = -8/6 = -4/3
Then the correct option is where the negative slope is -4/3, that one is
B) y = 3/4x - 1 and y = -4/3x + 9
If you answer 30 problems on Brainly in a day and 12 people find your answer helpful on each problem, now many people did you help out?
Answer:
600 people
Step-by-step explanation:
30x12=600.
what the slope of(-7,-4) (2,-7)
Answer:
[tex]m=\frac{-1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-7, -4)
Point (2, -7)
Step 2: Find slope m
Substitute: [tex]m=\frac{-7+4}{2+7}[/tex]Add: [tex]m=\frac{-3}{9}[/tex]Simplify: [tex]m=\frac{-1}{3}[/tex]WHICH TABLE IS A FUNCTION?
TABLE A
TABLE B
NEITHER
BOTH
Answer:
I honestly think its neither
which data set has a mean of 12 and a mean absolute deviation of 1
Step-by-step explanation:
17 i think I hope its right
PLEASE HELP ME!!!!!!!!! 75/w=150/100
Answer:
The answer is 75/50
Step-by-step explanation:
Answer:
75/W = 150/100
75/W = 3/2
W x 75/W = W x 3/2
75 = 3W/2
2 x 75 = 2 x 3W/2
150 = 3W
so the answer should be 50 = W
Which function represents the area with respect to time?
An investment of $1,000 is earning interest at the rate of 3.8% compounded daily over 3 years. Approximately how much interest is earned on the investment?
(PLEASE SHOW WORK)
a.
$892.26
b.
$1120.75
c.
$120.75
d.
$38.73
Answer:
c. $120.75
Step-by-step explanation:
The correct answer between all the choices given is the third choice or letter C. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.
HELP ASAP pls!just say wether there positive or negative
Answer:
Line 1 = Negative
Line 2 = Zero
Line 3 = Positive
Line 4 = Undefined
Step-by-step explanation:
Line 1's gradient is negative since it's sloping down.
Line 2's gradient stays at 0 since it does not go upwards or downwards.
Line 3's gradient is positive since it's tilting upwards.
Line 4's gradient is undefined since the line shoots up on the same point on the x-axis so the gradient cannot be determined by a single rational number.
The new number, 500 is 200 more than the original number. What is the approximate percent change?
A. The percent change is approximately 33%.
B. The percent change is approximately 55%.
C. The percent change is approximately 150%.
D. The percent change is approximately 175%.
Answer:
B.
Step-by-step explanation:
The percent change is approximately 55 %
Find the slope of the line that passes through: (-3,-4) and (7,6)
Find the equation for a line passing through (2,1) and (0,4). (standard form) Will give Brainliest
Example 1: Find the equation of the line passing through the points (–1, –2) and (2, 7).
Step 1: Find the slope of the line.
To find the slope of the line passing through these two points we need to use the slope
formula:
Step-by-step explanation:
use this on your problem
. The graph of 2x – y = 3 is shown on the coordinate grid.
Which ordered pair is NOT in the solution set of 2x – y > 3? (2, 0) (2, 1) (1, –3) (3, –1)
Answer
2,1
Step-by-step explanation:
all the others or on one side besides that one with is on the line
The ordered pair which is not in the solution set of 2x – y > 3 is that which is a solution of the graph of 2x – y = 3 and is; (2, 1)
According to the question;
We are required to determine which ordered pair is NOT in the solution set of 2x – y > 3Evidently, among the choices of coordinates; only (2, 1) is a solution of the equation 2x – y = 3.
By testing;
2(2) - 1 = 33 = 3.As such, since (2,1) is a solution of the equation 2x – y = 3, it can't also be a solution of 2x – y > 3.
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Look at photo because I don’t get it
Answer:
a) (-2,2), (-1,-1), (1,-1), (3,7)
b) x=1.4
Answer:
a) (-2, 2), (-1, -1), (1, -1), (3, 7)
b) x = 1.4
Step-by-step explanation:
a) Plug in your x & solve for y.
[tex]y = (-2)^2 - 2\\y = 2\\y = (-1)^2 - 2\\y = -1\\y = (1)^2 - 2\\y = -1\\y = (3)^2 -2\\y = 7[/tex]
b) Same thing as a, but just plug in 0 for y & solve for x
[tex]0 = x^2 -2\\2 = x^2\\\sqrt(2) = x\\1.4 = x[/tex]
Find the slope of the line passing through the given points.
(-6,5), (-7,12)
Answer:
1/7x or 1/7
Step-by-step explanation:
the equation for slope is
y2-y1 over x2 minus x1, so basically it means that you find the second x which in this case is 12 and subtract the first x which is 5. 12-5 is 7
You also do -7 minus -6 for the y2-y1 stuff so it is -7 plus 6 cuz the double - signs cancel out to positive.
-7 + 6 is 1
1 over 7 is 1/7
how do you solve 6(2x - 1) = 4 + 7x
Answer:
Simplifying
6(2x + -1) = 4 + 7x
Reorder the terms:
6(-1 + 2x) = 4 + 7x
(-1 * 6 + 2x * 6) = 4 + 7x
(-6 + 12x) = 4 + 7x
Solving
-6 + 12x = 4 + 7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x' to each side of the equation.
-6 + 12x + -7x = 4 + 7x + -7x
Combine like terms: 12x + -7x = 5x
-6 + 5x = 4 + 7x + -7x
Combine like terms: 7x + -7x = 0
-6 + 5x = 4 + 0
-6 + 5x = 4
Add '6' to each side of the equation.
-6 + 6 + 5x = 4 + 6
Combine like terms: -6 + 6 = 0
0 + 5x = 4 + 6
5x = 4 + 6
Combine like terms: 4 + 6 = 10
5x = 10
Divide each side by '5'.
x = 2
Simplifying
x = 2
Step-by-step explanation:
Find the recursive rule, explicit rule, and f(20)
Answer:
Recursive:
[tex]f(1)=35, f(n)=f(n-1)+10[/tex]
Explicit:
[tex]f(n)=35+10(n-1)[/tex]
And the 20th term is 225.
Step-by-step explanation:
We have the sequence:
35, 45, 55, 65.
Notice that each subsequent term is 10 more than the previous term.
Therefore, our common difference is (+)10.
Recursive Rule:
The standard format for the recursive rule is:
[tex]f(n)=a, f(n)=f(n-1)+d[/tex]
Where a is the initial term and d is the common difference.
From our sequence, we know that a the initial term is 35.
And as determined, our common difference d is 10.
Substitute. Hence, our recursive rule is:
[tex]f(1)=35, f(n)=f(n-1)+10[/tex]
Explicit Rule:
The standard format for the explicit rule is:
[tex]f(n)=a+d(n-1)[/tex]
Where a is the initial term and d is the common difference. So, let’s substitute 35 for a and 10 for d. Hence, our explicit formula is:
[tex]f(n)=35+10(n-1)[/tex]
Now, let’s find the 20th term. We will utilize the explicit rule since the recursive rule can get tedious. Substitute 20 for n because we would like to 20th term. Thus:
[tex]f(20)=35+10(20-1)[/tex]
Evaluate:
[tex]\begin{aligned} f(20)&=35+10(19) \\ f(20)&=35+190 \\ f(20)&=225 \end{aligned}[/tex]
Hence, the 20th term is 225.
Cheyenne is deciding between the ways she has to buy music. Albums on CD cost $13 but downloads of an album only cost $10. If she can spend up to $150 on music purchases, which of these expresses her purchasing restrictions when she buys c CDs and downloads d albums?
Answer:
G
Step-by-step explanation:
The expression that expresses her purchasing restrictions is:
13c + 10d = 150.
What is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given, Cheyenne is deciding between the ways she has to buy music. Albums on CD cost $13 but downloads of an album only cost $10. If she can spend up to $150 on music purchases.
Let "c" be the CDs she bought
and "d" be the albums she downloads
Price of total CD = 13c
price of total download = 10d
Thus, an equation that satisfies the situation:
13c + 10d = 150
therefore, Her purchasing limitations are expressed in the following way:
13c + 10d = 150.
Learn more about expression here:
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Round each fraction to the nearest whole, 1/2, or 0:
1. 1/2
12/5
2. 11/2
7/9
3. 1
4/9
4. 4
3 5/7
Answer:
1 2/5 = 1 1/2
7/9 = 1
4/9 = 1/2
3 5/7 = 4
Step-by-step explanation:
1. we must round 1 2/5
based on the answer choices we can determine that 1 1/2 is the most rational answer. This is because it is not only the only answer with the whole number, 1 but also 2/5 would round to 1/2.
2. We must round 7/9
This would round up to 1. This is because it is closest to the whole number, not 0 and not 1/2.
7 * 2 = 14
9 * 2 = 18
14/18 is only 4/18 away from being 1. This means that it would round up to 1.
3. we must round 4/9
This rounds to 1/2. If you multiply both side by 2:
4 * 2 = 8
9 * 2 = 18
8/18 for that to be 1/2 it would need 1/18. Thus this rounds up to 1/2.
4. We must round 3 5/7
5/7 would round up to a whole number.
3 + 1 = 4
Thus 3 5/7 = 4 when rounded to the nearest whole number.
How do you write 0.166666... as a fraction?
Answer:
0.166666 in fraction form is 83333/500000.
Step-by-step explanation:
the statue is how tall?
PLEASE HELP ASAP!!
Answer:
Accounting for its formula,
The statue is roughly 12ft. tall
A water park sells
168
168 tickets. Each ticket costs
$
12
$12. What is the total cost of the tickets sold?
Answer:
168x12 and u get ur answer
Step-by-step explanation:
just do 168x12
if it sells 168 tickets and each is $12, then:
12 x 168 = 2,016
total cost = $2,016
If p and q are non-zero rational numbers, and s and t are irrational numbers, select all of the statements that are always false.
answer choices are
The product pq is irrational.
The product pt is irrational.
The quotient pq is irrational.
The product st is irrational.
The quotient st is rational.
Answer:
The false choices are A, C, and E
Step-by-step explanation:
Let's make an example:
p=1
q=2
s=sqrt(3)
t=sqrt(6)
Since pq=1*2=2, the answer is rational and A is false.
Since pt=1*sqrt(6)=sqrt(6), the answer is irrational and B is true.
Since p/q=1/2=0.5, the answer is rational and C is false.
Since st=sqrt(3)*sqrt(6)=sqrt(18), the answer is irrational and D is true.
Since s/t=sqrt(3)/sqrt(6)=sqrt(1/2), the answer is irrational and E is false.
The false statements are:
The product pq is irrational.
The quotient pq is irrational.
The quotient st is rational.
A rational number is a number can be expressed as a fraction of two whole numbers. While, an irrational number is a number that cannot be expressed as the fraction of two whole numbers.
Examples of rational numbers are: 6, 2,3
Examples of irrational numbers are: √2, √3
Let p and q be represented with 2 and 6 respectively.
The product of 2 and 3 = 2 x 6 = . The number is a rational number
Let p and t be represented with 2 and √2 respectively.
The product of 2 and √2 = 2 x√2 = 2√2. The product is irrational
The quotient of pq = 6 /2 = 3.
The quotient is rational.
Let s and t be represented with √2, √3. The product is √2 x √3 = √6. The product is irrational.
The quotient of s and t = √2 /√3.
The number is irrational.
To learn more about rational numbers, please check: https://brainly.com/question/15815501?referrer=searchResults
Solve the equation
[tex](\frac{1}{2})^{2x+1}=1[/tex]
9514 1404 393
Answer:
x = -1/2
Step-by-step explanation:
Anything raised to the power of 0 is 1.
(1/2)^(2x+1) = 1 = (1/2)^0
Equating exponents gives ...
2x +1 = 0
2x = -1 . . . . subtract 1
x = -1/2 . . . divide by 2
What do 89/90 equal but not as a decimal or a percent as a fraction HELP ME
Answer:
it equals 89/90
Step-by-step explanation:
the gcf of 89, 90 is 1, so the fraction can not be simplified. The answer is 89/90.
Courtney belongs to a health club that charges a monthly fee of $20, plus $85 to join. Write a function to represent her costs. How much has she paid after six months?
Answer:
Step-by-step explanation:
20x+85=
20(6)+85=
120+85= $205
Hurry please :)!!!!
Answer:
I'm not sure but I think it's LDTC
Step-by-step explanation:
PLEASE HELPP!!! DUE IN 1 HOUR!!! I NEED SOME HELPPPP!! WILL GIVE BRAINLIEST TO PERSON WITH BEST ANSWER
Use the values x=4,0,5 to verify your solution to the equation 5+x-12=x-7. In your final answer, include all of your calculations.
Answer:
Down there! Idk if it was what your looking for but this is what I got..
Step-by-step explanation:
(-∞,∞)
Step-by-step explanation:
PART A:
given
This is true for all values of x.
So,x∈-∞,+∞
PART B:
When ,left hand side=
right hand side=
so,left hand side =right hand side
When ,left hand side=
right hand side=
so,left hand side =right hand side
When ,left hand side=
right hand side=
so,left hand side =right hand side
Answer:
5+4-12=4-7 9-12=4-7 -3= -3
5+0-12=0-7 5-12=0-7 -7= -7
5+5-12=5-7 10-12=5-7 -2= -2
Step-by-step explanation:
Type only a number for your answer
Answer:
x = 80
Step-by-step explanation:
x + 30 = 110 (opposite sides are congruent/equal)
x = 110 - 30 (subtract the 30 from both sides to get X by itself)
x = 80 (simplify)