Answer:
The correct option is 3.
Step-by-step explanation:
The table of values is
Number of days (x) Rent (dollars) (y)
0 12
1 21
2 30
3 39
4 48
It is given that Thomas wants to rent a lawn mower. he has to pay a fixed base cost plus a daily rate for renting the lawn mower. It means the relationship between x and y is linear.
The slope intercept form of a line is
[tex]y=mx+b[/tex] .... (1)
where, m is slope and b is y-intercept.
Slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The line passes through (0,12) and (1,21). The slope of the line is
[tex]m=\frac{21-12}{1-0}=9[/tex]
The slope of the line is 9. From the given table it is clear that the y-intercept or initial value of the function is 12.
Substitute m=9 and b=12 in equation (1).
[tex]y=9x+12[/tex]
The required equation is y = 9x + 12. Therefore the correct option is 3.
If log3(4y−1)=log3(2y+7), what is the value of y?
Enter your answer as a number, rounded to one decimal place, if necessary, like this: 42.5
Will give brainliest to person who answers first. Much appreciated
1. The physical components of computers that carry out the basic operations are:
A: software
B:hardware
C:firmware
D:vaporware
2. The piece of computer hardware that manipulates a machines memory in order to create images rapidly is the:
A:cpu
B:gpu
C:rom
D:ram
3. Pong is the first real video/ computer game
A: true
B: false
4. The magnavox odyssey was a commercial success
A:true
B: false
A secant and a tangent meet at a 90 degree angle outside the circle. What must be the difference between the measures of the intercepted arcs?
45 degrees
90 degrees
180 degrees
270 degrees
Answer:
180
Step-by-step explanation:
hope this helps you
Answer:
180 90plus90
Step-by-step explanation:
A function is created to represent amount of money spent on lunch if you spent five dollars a day. What restrictions would be made to the range?
A. The range would only include integers
B. The range would only include negative integers
C. the range would only include positive integers
D. the range would include allreal number
A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)?
Given that, a bike wheel is 26 inches in diameter.
We need to convert bike wheel's diameter in millimeters .
Since, 1 inch = 25.4 millimeters.
So, to convert 26 into mm we need to multiply 26 each sides of this identity to convert this into mm. Hence,
1*26 inch = 25.4 * 26 mm.
So, 26 inches = 660.4 mm.
So, the bike wheel's diameter is 660.4 millimeters.
Hope this helps you!
The bike wheel's diameter of 26 inches is equivalent to 660.4 millimeters.
To convert a bike wheel's diameter from inches to millimeters,
we have to use the conversion factor, which is,
1 inch = 25.4 millimeters.
Now multiplying the diameter of the bike wheel,
which is given as 26 inches,
by the conversion factor of 25.4 millimeters per inch.
⇒ 26 inches x 25.4 millimeters per inch = 660.4 millimeters
Therefore, the diameter of the bike wheel in millimeters is 660.4 millimeters.
Therefore, we can convert inches to millimeters by multiplying by 25.4, which is the number of millimeters in one inch.
In this case, the bike wheel's diameter of 26 inches is equivalent to 660.4 millimeters.
To learn more about the measurement unit visit:
https://brainly.com/question/777464
#SPJ6
the graph of the equation y=2x+b passes through the point (b, -3). Find b. PLZ SHOW WORK!
Which statements are true? Choose all answers that are correct. A. All quadrilaterals can be classified as either parallelograms or trapezoids. B. All rhombuses are parallelograms. C. Some trapezoids are parallelograms. D. Some parallelograms are squares.
Answer:
A, B and C
Step-by-step explanation:
Which of the sums below can be expressed as 6(3 + 9)? (3 points)
18 + 54
18 + 9
9 + 15
6 + 54
This could be answered by using the distributive property.
This is an algebra property which is done to multiply a particular term and two or more terms in a set of parentheses.
So for our problem, 6 (3 + 9):
You first, multiply 6 x 3 = 18
And multiply 6 x 9 = 56
Thus, the answer is 18 + 56 = 72
But following the order of operations, you should add first the number inside the parenthesis and then multiply it to the number outside the parenthesis but it will the same answer still. (6 x 12 = 72)
Answer:
18 + 54
Step-by-step explanation:
Take 6 x 3 = 18
6 x 9 = 54
Answer is 18+54
to check answer 18 + 54 = 72
6(3+9)
6(12)= 72
order from greatest to least : 0.12 with bar over 2, 0.1225, 3/25, 7/125
An angel is 5 times its supplement find the measure of bith angels
if √a/√b=x, which statement must be true? A. x^2=a/b B. √x=a/b C. |x|=a/b D. x=a/b
Answer:
x^2 = a/b
Step-by-step explanation:
[tex]\frac{\sqrt{a}}{\sqrt{b} } =x[/tex]
If we have square root at the top and bottom then we take single square root with fraction inside
[tex]\sqrt{\frac{a}{b}} =x[/tex]
To remove square root we take square on both sides because square and square root will get cancelled
[tex]\frac{a}{b}=x^2[/tex]
x^2 = a/b is true
The statement that must be true is:
[tex]x^2 = a/b[/tex]
How to find an equivalent expression?
To find an equivalent expression, we just need to rewrite the given expression.
Here we will use the fact that the square root is distributive with respect to the division, which means that we can rewrite:
[tex]\frac{\sqrt{a} }{\sqrt{b} } = x\\\\\sqrt{\frac{a}{b} } = x[/tex]
Now if we square both sides of that expression, we will get:
[tex]\sqrt{\frac{a}{b} }^2 = x^2\\\\\frac{a}{b} = x^2[/tex]
So we can see that the correct option is A.
If you want to learn more about radical expressions, you can read:
https://brainly.com/question/8952483
What units would you use to describe the volume of a box measured in inches?
cubic inches or inches³ would we use to describe the volume of a box measured in inches.
What is Unit of Measurement?A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law
Volume is the measure of the 3-dimensional space occupied by matter, or enclosed by a surface, measured in cubic units.
As volume we measure by using three dimensions so the unit will be in cubics.
If we have to measure volume of box in inches then it will be cubic inches or inches³.
Hence cubic inches or inches³ units would we use to describe the volume of a box measured in inches.
To learn more on units of measurement click:
https://brainly.com/question/15402847
#SPJ5
A jar contains 3 red, 5 green, 2 blue and 6 yellow marbles. a marble is chosen at random from the jar. after replacing it, a second marble is chosen. what is the probability of choosing a green and then a yellow marble
Solve for x. 23=79(6x−36)+9 Enter your answer in the box.
The value of the equation 1429/237.
Let's solve for x in the given equation:
[tex]\[23 = 79(6x - 36) + 9\][/tex]
First, distribute the 79 on the right side:
[tex]\[23 = 474x - 2844 + 9\][/tex]
Combine like terms:
[tex]\[23 = 474x - 2835\][/tex]
Now, isolate the term with x by adding 2835 to both sides:
[tex]\[474x = 2858\][/tex]
Finally, divide both sides by 474 to solve for x:
[tex]\[x = \frac{2858}{474}\][/tex]
Now, you can simplify the fraction:
[tex]\[x = \frac{1429}{237}\][/tex]
So, the solution for x is [tex]\(x = \frac{1429}{237}\).[/tex]
Final answer:
To solve the equation, distribute the 79 on the right side, combine like terms, and then isolate and solve for x to get x = 6.05.
Explanation:
To solve the equation 23=79(6x−36)+9, we first expand the right side of the equation and then isolate the term with x on one side.
First, distribute the 79:
23 = 79(6x) - 79(36) + 9,
which simplifies to:
23 = 474x - 2844 + 9.
Combine like terms:
23 = 474x - 2835.
Now, add 2835 to both sides to isolate the term with x:
2868 = 474x.
Finally, divide both sides by 474 to solve for x:
x = 2868 / 474.
After performing the division, we find that x = 6.05.
Alex and Freddy collect stamps. The number of stamps in Alex’s collection is in ratio 3:5 to the number of stamps in Freddy’s collection. If Freddy gives Alex 10 stamps, the ratio will change to 7:9. How many stamps are in both collections together?
Answer:
160 stamps
Step-by-step explanation:
Suppose Alex has 3x stamps, Freddy has 5x stamps. After Freddy gives Alex 10 stamps, Alex has 3x+10 while Freddy has 5x-10
The new ratio is 7 to 9, so we have the equation: (3x+10)/(5x-10)=7/9
9(3x+10)=7(5x-10)
27x+90=35x-70
160=8x
x=20
So Alex has 3*20=60 stamps while Freddy has 5*20=100. Together they have
State the slope of the line shown below.
0
1
–2
undefined
Answer: 0
Step-by-step explanation:
From then given graph , it can be seen that the line is parallel to x axis passing through [tex]y=-2[/tex].
We know that if two lines are paralleled then they have equal slope.
We know that the slope of x-axis is 0.
[∵[tex]\text{Slope=}\dfrac{\text{Change in y coordinates}}{\text{Change in x coordinates}}=\dfrac{0}{\text{Chnage in x coordinates}}=0[/tex]]
Hence, the slope of the given line =0
Which linear inequality is represented by the graph?
A) y > 2/3x - 2
B) y < 2/3x + 2
C) y > 2/3x + 1
D) y < 2/3x - 1
I NEED THE ANSWER ASAP ‼️
Answer:
y < [tex]\frac{2}{3}[/tex]x -1 .
Step-by-step explanation:
Given : Graph.
To find : Which linear inequality is represented by the graph.
Solution : We have given graph with shaded down .
We know that if the graph is shaded down then equation of inequality has less than sign.
On comparing with line slope form y = mx +b.
Where m = slope and b = y intercept ( where the graph line cut at y axis)
Then b = -1 and slope = [tex]\frac{2}{3}[/tex].
Then equation become
y < [tex]\frac{2}{3}[/tex]x -1 .
Therefore, y < [tex]\frac{2}{3}[/tex]x -1 .
HELP ASAP ALGEBRA 2 QUESTION PLEASE!!!
Consider the function f(x)=1/3 x+4.
Find the inverse of f(x) and name it g(x) . Show and explain your work.
Use function composition to show that and are inverses of each other.
Draw the graphs of f(x) and g(x) on the same coordinate plane. Explain how your graph shows that the functions are inverses of each other.
Write the expressions as a difference and simplify it: 17x−13y+8 and 20x+6y.
The two expressions 17x−13y+8 and 20x+6y can be rewritten as a difference to be -3x - 19y + 8.
Explanation:To rewrite the two expressions 17x−13y+8 and 20x+6y as a difference, you can first list them separately and then combine by subtraction.
17x - 13y + 8
and
20x + 6y
. The difference between these two expressions is obtained by performing the subtraction as follows: (17x - 13y + 8) - (20x + 6y). Now, you can simplify this by removing the parentheses and switching the sign of the terms being subtracted, which results in:
17x - 13y + 8 - 20x - 6y
. Finally, you combine like terms, x-terms with x-terms and y-terms with y-terms, ending up with:
-3x - 19y + 8
which is the simplified difference of the two expressions.
Learn more about Algebraic Expressions here:https://brainly.com/question/953809
#SPJ12
Is 14/25 bigger than 0.75
A candle is 7 in. tall after burning for 1 h. The same candle is in. tall after burning for 4 h. How tall will the candle be after burning for 6 h?
After burning 6 hours the candle will be 4 1/2 in. tall.
1.45833 as a fraction
Kelly wants to know the actual value of a house that she wants to buy. What should she do?
for plato the answer is, c. get a real-estate appraisal
posting this for future users!
Cheryl wants to purchase a par value $500 bond from Agram Imports. Agram imports bonds have a market rate of 102.114 and offer 8.1% interest. If Cheryl’s broker charges a commission of 2.5% of the market value of each bond sold, what is the current yield on Cheryl’s bond?
A. 0.077
B. 0.078
C. 0.081
D. 0.040
Answer:
the answer is A. my friends
Use the right-hand rule to estimate the area under the graph of y = x2 + 2 for values of x from 0 to 3.
Suppose you flip a coint and roll a 10-sided die. what is the probability of flipping tails and rolling a 7?
What conclusions can be made about the series ∞ 6 cos(πn) n n = 1 and the integral test?
Kyra multiplied 0.27 by a power of ten and got 2.7. What power of ten did she multiply by?
Find the total amount after 2 years of an investment of $1500 in an account paying 4% interest, compounded quarterly.
A=P(1+r/n)nt ( '' nt '' are exponents )
Question 1 options:
$1622.40
$1624.29
$1560
$1620
-2log5 7x=2
the 5 is small please help me