Answer:
6x-6
Step-by-step explanation:
Write the equation for the following relationships
x: 1/2, 0, 2
y: 4, 0, 16
please write in the y=mx+b formula
to get the equation of any straight line we simply need two points off of it, from the table [tex]\begin{array}{|cccc|ll} \cline{1-4} x&\frac{1}{2}&0&2\\ \cline{1-4} y&4&0&16\\ \cline{1-4} \end{array}[/tex] let's use the points of (0 , 0) and (2 , 16)
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{16}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{16}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{0}}}\implies \cfrac{16}{2}\implies 8 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{8}(x-\stackrel{x_1}{0})\implies y=8x[/tex]
Keith opened a credit card and spent $55. Which of the following represents the situation?
5 points
A. Keith has +55 dollars
B. Keith has -55 dollars
C. Keith earned 55 dollars
D. Keith has a zero balance
Answer:
B
Step-by-step explanation:
I think B because he opened credit card and not yet deposit and then he spent $55.
Fernando had to pay $1.40 in sales tax when he purchased a shirt. If the sales tax rate is 7%, how much did his shirt cost? please show step by step
how do i graph y=1/2+4
y=1/2+4
y=2+4
y=6
or
y=1/2+4
y=1/6
y=6
Those homeworks are so easy lmaøoo
Answer:
To graph the equation of a line written in slope-intercept (y=mx+b) form, start by plotting the y-intercept, which is the b value. The y-intercept is where the line will cross the y-axis, so count up or down on the y-axis the number of units indicated by the b value. From the y-intercept point, use the slope to find a second point. The numerator of the slope tells you how many units to move up or down from the intercept, and the denominator of the slope tells you how many units to move left or right in order to plot the second point. Connect the two points and draw arrows at either end to indicate that the line extends infinitely.
Step-by-step explanation:
Since the equation is in y=mx+B form, M is the value of we can use B as the Y_Intercept and M as the slope.
#LearningIsFun
Which is the range of the discrete function G(x)?
G(x) = {(1,2), (3, 2), (4, 5), (5,9), (7,2)}
O A. {1,2,3,4,5,7,9}
B. {1,3,4,7)
O C. {2,5,9}
D. {1,9}
A formula for finding the perimeter of a rectangle is P = 2L + 2W. If you know the perimeter (P) and length (L) of a rectangle, which formula can you use to find the width (W)?
Answer:
p/2 - L = W
Step-by-step explanation:
P = 2L + 2W
Subtract 2L from both sides
P - 2L = 2W
Divide both sides by 2
p/2 - L = W
Answer:
p/2 - L = W
Step-by-step explanation:
Carson runs a farm stand that sells strawberries and bananas. Each pound of strawberries sells for $3 and each pound of bananas sells for $1.50. Carson sold 4 times as many pounds of strawberries as pounds of bananas and he made $135 altogether. Graphically solve a system of equations in order to determine the number of pounds of strawberries sold, x, and the number of pounds of bananas sold, y.
Answer:
3.33
Step-by-step explanation:
The starting and stopping point for Amir’s run this morning are 0.5 inch apart on the map. If each inch on the map represents 3 miles, how far did Amir run?
Answer:.
1.5 miles
Step-by-step explanation:
1 inch = 3 miles
0.5 inches = X miles
X=3(0.5) = 1.5
i need help please thanks
Answer:
127 degrees
Step-by-step explanation:
Triangle 2 is a scale drawing of Triangle 1. Based on information in the diagram, what is the length of side b?
Urgent help pls.
Answer:
36.0
Step-by-step explanation:
45 / 10 = 4.5
8 * 4.5 = 36
TRANSFORMATIONS !!
The vertices of a trapezoid are shown below.
(0,6), (6,12), (6,9), (0,12)
Which of the following points is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2?
A . (2,8) B. (3,3) C. (3,6) D. (12,24)
Answer: C
Step-by-step explanation:
HELP PLEASE-
NEED QUICK
Answer:
20 is A 3.7
21 is D 18.7
22 is C 8.8
23 is A 3.6
24 is D 11.6
25 is A 2.7
I hope this helps!!
which option does the following expression simplify to?
please help :)
»Option (A.)
Let find
5b^{0}
= 1
hope its helps
Okay
A company is using the first two years of its profits to predict what will happen in the future. The profit, p(x), in millions, can be modeled by
the function p(x) =x^2 + 4x + 5, where x, represents the number of years after 2020
- In what year did the company have the largest profit and what was the amount?
Answer:
2022
9 million
Step-by-step explanation:
[tex]p(x) =-x^2 + 4x + 5[/tex]
To find the value of x when the maximum profit occurs, differentiate the function:
[tex]\implies p'(x)=-2x+4[/tex]
set it to zero and solve for x:
[tex]\implies p'(x)=0[/tex]
[tex]\implies -2x+4=0[/tex]
[tex]\implies x=2[/tex]
Therefore, the year in which the company had its largest profit was
2020 + 2 = 2022
Input found value of x into the function:
[tex]p(2) =-(2)^2 + 4(2) + 5=9[/tex]
Therefore, the amount was 9 million
On Monday Tom takes 15 minutes to walk one mile to school. On Tuesday
he takes 20 minutes to walk the same distance. Calculate his speed in mph
for each day's walk.
Answer:
Tom's speed (in mph) on Monday [tex]=4mph[/tex]
Tom's speed (in mph) on Tuesday [tex]=3mph[/tex]
Step-by-step explanation:
Using Speed distance time formula.
Tom's speed (in mph) on Monday
[tex]=Distance/time.[/tex]
[tex]=1/(15/60).[/tex] [By question statements, [tex]1hr=60min].[/tex]
[tex]=4mph[/tex]
Tom's speed (in mph) on Tuesday
[tex]=Distance/time.\\ =1/(20/60).[/tex][By question statements, [tex]1hr=60min].[/tex]
[tex]=3mph.[/tex]
Hence
Tom's speed (in mph) on Monday[tex]=4mph.[/tex]
Tom's speed (in mph) on Tuesday[tex]=3mph.[/tex]
I hope this helps you
:)
On Monday, The speed of Tom will be 4 mph.
On Tuesday, The speed of Tom will be 3 mph.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
On Monday Tom takes 15 minutes to walk one mile to school.
On Tuesday he takes 20 minutes to walk the same distance.
Now,
For Monday;
Tom takes 15 minutes to walk one mile to school.
Hence, Distance = 1 mile
Time = 15 minutes = 15/60 hour
Thus, Speed = Distance / Time
= 1 / (15/60)
= 60/15
= 4 mph
For Tuesday;
Tom takes 20 minutes to walk one mile to school.
Hence, Distance = 1 mile
Time = 20 minutes = 20/60 hour
Thus, Speed = Distance / Time
= 1 / (20/60)
= 60/20
= 3 mph
Thus, On Monday, The speed of Tom will be 4 mph.
On Tuesday, The speed of Tom will be 3 mph.
Learn more about the speed visit:
https://brainly.com/question/13943409
#SPJ2
MAX POINTS
The 19% APR is the annual interest rate, but it is compounded monthly. What is the
monthly interest rate?
Other loan info (I don't know what all you need to calculate this)
The debt owed is 910$ and the minimum payments is 2.5% or ten dollars whatever is larger. Assume Zach is going to pay only the minimum. If he only pays minimum it would take him 154 months.
Answer:
Monthly rate: 19%/12 ≈ 1.5833%72 months to pay off the loanStep-by-step explanation:
The monthly interest rate is the annual rate (APR) divided by 12.
19%/12 ≈ 1.5833%
The loan will be paid in fewer than 91 months, because Zach will be paying at least $10 per month on his current balance of $910. The attached spreadsheet shows it will take 73 payments to pay off the loan.
15 POINTS!
Heath performed an experiment in which he randomly pulled one marble out of a bag at a time, recorded its color, placed it back in the bag, and repeated. His results are shown in the following table. What is the experimental probability of pulling a green marble?
Enter your answer as a decimal rounded to the nearest hundredth, like this: 42.53
Answer: 21/36
Step-by-step explanation:
I added both of the numbers together (15+21) and I got 36 so I just put 21 over 36. So the percentage of it is either 58% or 58.3% !
Hope it helped ;>
Answer:
0.58
Step-by-step explanation:
15 + 21 = 36
21 / 36 = 0.58
0.58
NOW SOMETIMES SOME SCHOOLWORK WILL WANT IT HAS A HIGHER DECIMAL IT DEPENDS ON UR SCHOOL SO IF 0.58 DOES END UP BEING WRONG (which is unlikely because most schools would want it this way) THEN I WOULD DO 58.33
ok have a wonderful rest of ur day :)
What is an equation of the line that passes through the points (6,2) and
(7, 1)?
(Giving brainliest )
[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{6}}}\implies \cfrac{-1}{1}\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{-1}(x-\stackrel{x_1}{6}) \\\\\\ y-2=-x+6\implies y=-x+8[/tex]
A jet boat is used to take canoers 200 miles upriver to their starting point. As the driver of the jet boat,
Jeremy knows that it will take him 5 hours to get the canoers upstream, but only 4 hours to get the boat
back downstream after dropping the canoers off, as long as he keeps the boat moving at a constant speed.
How fast would the boat be moving in still water?
A
B
C
D
5 mph
40 mph
45 mph
50 mph
Answer:
The answer is D because if you go at a constant speed of 50 MPH for 4 hours you will have reached 200-mile mark at 4 hours
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
50mph
Please help! 20 points thanks :)
Answer:
D) There is not enough info to tell (sike maybe not the asnwer)
B) b (bbbbbbbbbbb)
Step-by-step explanation:
SiiiKE, not D) I think but My first thought is D but I know it is not D unless it is another answer BUT I think it is B My final answer is B) b
ln(r^2s^10 4√r^2s^10) is equal to Alnr+Blns Where A equals and B equals
[tex]\textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \ln\left( r^2s^{10}\sqrt[4]{r^2s^{10}} \right)\qquad \qquad \stackrel{\textit{let's for a second make}}{z = r^2s^{10}} \\\\\\ \ln\left(z\cdot \sqrt[4]{z} \right)\implies \ln\left(z\cdot z^{\frac{1}{4}} \right)\implies \ln\left(z^{1+\frac{1}{4}} \right)\implies \ln\left(z^{\frac{5}{4}} \right)[/tex]
[tex]\stackrel{\textit{and substituting back}}{\ln\left( \left[ r^2s^{10} \right]^{\frac{5}{4}} \right)}\implies \ln\left( r^{2\cdot \frac{5}{4}} ~~ s^{10\cdot \frac{5}{4}} \right)\implies \ln\left( r^{\frac{5}{2}}~~s^{\frac{25}{2}} \right) \\\\\\ \ln\left( r^{\frac{5}{2}} \right)~~ + ~~\ln\left( s^{\frac{25}{2}} \right)\implies \stackrel{A}{\cfrac{5}{2}}\ln(r)~~ + ~~\stackrel{B}{\cfrac{25}{2}}\ln(s)[/tex]
Solve using log
Help would be much appreciated
Answer:
5.2812
Step-by-step explanation:
[tex]10^{x-3.6}-7=41[/tex]
Add 7 to both sides:
[tex]\implies 10^{x-3.6}=48[/tex]
Taking logs of base 10:
[tex]\implies \log_{10}10^{x-3.6}=\log_{10}48[/tex]
Apply log rule [tex]\log a^b=b \log a[/tex]:
[tex]\implies (x-3.6)\log_{10}10=\log_{10}48[/tex]
Apply log rule [tex]\log_aa=1[/tex]:
[tex]\implies (x-3.6)\times 1 =\log_{10}48[/tex]
Simplify and solve:
[tex]\implies x-3.6=\log_{10}48[/tex]
[tex]\implies x=\log_{10}48+3.6[/tex]
[tex]\implies x = 5.281241237...[/tex]
[tex]10^{x-3.6}-7=41[/tex]
Use the rules of exponents and logarithms to solve the equation.
[tex]10^{x-3.6}-7=41[/tex]
Add 7 to both sides of the equation.
[tex]10^{x-3.6}=48[/tex]
Take the logarithm of both sides of the equation.
[tex]log(10^{x-3.6})=log(48)[/tex]
The logarithm of a number raised to a power is the power times the logarithm of the number.
[tex](x-3.6)log(10)=log(48)[/tex]
Add 3.6 to both sides of the equation.
[tex]x=log(48)-(-3.6)[/tex]
Solve by first finding [tex]log(48)[/tex] then subtract [tex](-3.6)[/tex] from the answer:
1. [tex]log(48)=1.6812412373755872181499834821531[/tex]
Now just solve the equation:
[tex]1.6812412373755872181499834821531 - (-3.6)=5.2812412373755872181499834821531[/tex]
Your answer is C. [tex]5.2812412373755872181499834821531[/tex] or [tex]5.2812[/tex]
Gabriella has 3 bottles of water.
Each bottle contains 500 ml of water.
Work out the total quantity of water.
Give your answer in litres.
Answer:
1.5 Liters
Step-by-step explanation:
500ml=0.5L
(0.5L)x3= 1.5L
PLS HELP ILL GIVE BRAINLIEST!!!!!!!!
Answer:
It says it right there.
the answer that you need is 300
Step-by-step explanation:
Brainiest
Answer:
The height of the square pyramid is 150 inches
Step-by-step explanation:
[tex]volume \ of \ square \ pyramid = a^2 \frac{h}{3}[/tex]
[tex]450 = 3^2 \frac{h}{3}[/tex]
[tex]450 = 9( \frac{h}{3} )[/tex]
[tex]450 = 3( {h}{)[/tex]
[tex]450 = 3h[/tex]
[tex]h = 150[/tex]
please help me with this question
Answer:
$37.50
Step-by-step explanation:
A group of 4 friends went to lunch and spent a total of $40, which included the $34 food bill and the tip. They decided to split the bill and tip evenly among themselves. One of the friends used the equation One-fourth (t 34) = StartFraction 40 over 4 EndFraction to represent the situation, where t represents the total amount of the tip. Which describes the amount each friend paid for the food and for the tip? Each friend paid $8. 50 for the food and $1. 50 for the tip. Each friend paid $10. 00 for the food and $6. 00 for the tip. Each friend paid $8. 50 for the food and $6. 00 for the tip. Each friend paid $10. 00 for the food and $1. 50 for the tip.
The amount each friend paid for food is $8. 50 for the food and $1. 50 for the tip.
What is division?The division is one of the most basic mathematical operators. It is used when a number is to be distributed equally in n number of parts.
As it is given that the total of 4 friends went to the lunch, the total amount paid by them is $40, but the food bill was just $34, therefore, the rest of the amount was paid in the tip. If we calculate the tip,
Tip = Total spent - Food bill
Tip = $40 - $34
Tip = $6
Now, as it is that the total amount spend by all on the food is $34, and it is to be divided among the four friends, therefore, the amount paid by each of the friends is,
[tex]\text{Total amount to be paid by each friend}=\dfrac{\text{Total amount spent by all on food}}{\text{Number of friends}}\\\\\text{Total amount to be paid by each friend}=\dfrac{\$34}{4}\\\\\text{Total amount to be paid by each friend}=\$8.5[/tex]
Further, the total amount tip by all is $6, and it is to be divided among the four friends, therefore, the amount paid by each of the friends is,
[tex]\text{Total amount to be paid by each friend}=\dfrac{\text{Total Tip}}{\text{Number of friends}}\\\\\text{Total amount to be paid by each friend}=\dfrac{\$6}{4}\\\\\text{Total amount to be paid by each friend}=\$1.5[/tex]
Hence, the amount each friend paid for food is $8. 50 for the food and $1.50 for the tip.
Learn more about Division:
https://brainly.com/question/369266
What kind of triangle is never wrong?
obiously
right angle triangle
because it has always 90°
Janet just mulched her yard and had 2 1/4 bags of mulch left. She divided it evenly and gave 3/8 of a bag to each of the people on her block. How many people live on Janet's block?
Answer:
6 people
Step-by-step explanation:
2 1/4 = 9/4 = 18/8
She gave 3/8 of a bag to each of the people => she gave 18/8 : 3/8 = 6 people
So, there are 6 people that live on Janet's block (maybe 7 if count Janet herself)
Answer:
6
Step-by-step explanation:
2.25 divided by 3/8 (0.375)
To double check multiply 3/8 by 6 and you'll get 2.25 (2 1/4).
Which type of data would be best displayed in a dot plot?
Answer:
the top one
Step-by-step explanation:
it has the least number
Answer:
A
Step-by-step explanation: i got it right
HELP AGAINN
5(2x+6) using x=4
Answer:
70
Step-by-step explanation:
Answer:
Step-by-step explanation:
Plugin x = 4 in the expression
5*(2x + 6 ) = 5*(2*4 + 6)
= 5* (8 + 6)
= 5 * 14
= 70
