Use the interactive tool to graph the line given the following information:
coordinates (1,–3)
slope of –2
Based on your investigation, what is the value of b for the point (0,b)?
Answers
-1
Answer:
B= -1
Step-by-step explanation:
Related Questions
show how you round 1345/99 to the nearest integer
Answers
14
Rounding is easy, just look at the number in the tenths place. If the number is less than 5 round down and if the number is greater than or equal to 5 round up.
What represents the number written as 23 and 37 thousandths
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The number written as 23 and 37 thousandths can be expressed in decimal form as 23.037.
What is Place value?The foundation of our whole number system is place value. In this approach, the value of a digit in a number is determined by where it appears in the number.
When we write a number like 23.037, each digit to the left of the decimal point represents a different place value. The place values start from the right with ones, then increase by a factor of 10 as we move to the left.
So in the number 23.037:
The digit 7 is in the thousandth place, meaning it represents 7/1000 or 0.007.
The digit 3 is in the hundredth place, meaning it represents 3/100 or 0.03.
The digit 0 is in the tenth place, meaning it represents 0/10 or 0.
The digit 2 is in the one's place, meaning it represents 2 ones, or simply 2.
Therefore, 23.037 can be written as:
23 + 0.037
or
23 and 37 thousandths
Learn more about place values here:
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When filing separately, both Melvin and Sylvia have a standard deduction of $5700, and each can claim him/herself as an exemption for $3650. Neither has any additional adjustments to income. What is Melvin's taxable income? How about Sylvia's taxable income?
Answers
Melvin and Sylvia's taxable income is calculated by subtracting the sum of the standard deduction ($5,700) and the personal exemption ($3,650) from their adjusted gross income. Since the adjusted gross income was not provided, the exact taxable income cannot be determined without that information.
Explanation:When calculating Melvin and Sylvia's taxable income, we first need to use the given standard deduction and personal exemption to determine their taxable income. According to the information, the standard deduction is $5700 and the personal exemption is $3650 Therefore, we subtract the sum of these deductions from their adjusted gross income to find their taxable income.
Assuming Melvin and Sylvia both have the same adjusted gross income and ignoring any typos or irrelevant parts of the questions being asked, we have:
The formula for each individual's taxable income is as follows:
taxable income = adjusted gross income - (standard deduction + personal exemption)
To find Melvin or Sylvia's taxable income, simply plug their adjusted gross income into the formula.
The ratio of weight on the moon to weight on earth is 1:6. How much would a 174 pound person weigh on the moon?
Answers
A triangle has an area of 10.5 square feet. The base of the triangle is 6 feet. What is the height?
Answers
Let's put what we know in an equation. We know that B X H / 2 = the area of a triangle.
6 X H (height) / 2 = 10.5 Sq. Ft.
If you want to find the height, let's solve for H. I think we should combine 6 and H together, and that would simplify to 6h / 2 = 10.5.
Now to get 6h by itself, let's multiply by 2 to each side. It would then look like: 6h = 21. To finally get "h" by itself, we need to divide h by 6 to each sides. After you do that, the answer simplified is: h = 3.5.
To make sure my answer is correct, let's plug in the height with the base, if it equals 10.5.
6 X 3.5 / 2 = 10.5
(6 X 3.5 ) / 2 = 10.5
(21) / 2 = 10.5
10.5 = 10.5
My answer is correct, since each side equals the same. Hope this isn't too confusing, hope this helps! =)
Answer:3.5
Step-by-step explanation:
China has a population of approximately 1,322,000,000 people. Express this number in scientific notation. A) 1.322 x 109 B) 1.322 x 10-9 C) 1.322 x 10−8 D) 13.22 x 108
Answers
Whats the simple interest of $400 after 5 years at a 3% annual rate?
Answers
if the product of 4 and a number is decreased by 12, the result is twice the opposite of the number. Find the number. EXPLAIN PLEASE ♥
Answers
__________________________________________
Explanation:
__________________________________________
Write the expression; which is an equation, as follows:
__________________________________________
" 4x − 12 = 2(-x) " ; in which "x" represents "the number for which we shall solve" .
___________________________________________
Note:
If the "number" = "x" ; the "opposite of the number" = " -x " ;
___________________________________________
Rewrite as: " 4x − 12 = -2x " ;
_____________________________________________
→ Add "12" ; & add "2x" ; to EACH SIDE of the equation:
4x − 12 + 12 + 2x = -2x + 12 + 2x ;
to get: 6x = 12 ;
____________________________________________________
Now, divide each side of the equation by "6" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
____________________________________________________
6x / 6 = 12 / 6 ;
to get: x = 2 .
____________________________________________________
Answer: The number is: "2 " .
____________________________________________________
Let us check our answer, by plugging in "2" for "x" in our original equation:
_____________________________________________________
→ " 4x − 12 = 2(-x) " ;
Let us plug in "2" for "x" ; to see if the equation holds true; that is; if both side of the equation are equal; when "x = 2" ;
→ " 4(2) − 12 = ? 2(-2) ??
→ 8 − 12 = ? -4 ? ;
→ -4 = ? -4 ?? Yes!
__________________________________________________
Write 0.00000347 in scientific notation. (PLEASE, TY!)
Answers
so you would count over 6 to get 3.47
then you you would do 3.47x10^-6
you might ask why negative six well you are going to the right of the decimal not the left
Answer: 3.47x10^-6
A sequence is defined by dividing the term number by the power of 2 raised to the term number. What is the seventh term?
A. 1/4
B.7/32
C.7/64
D.7/128
Answers
the function y = 3.75 + 1.5(x-1) can be used to determine the cost in dollars for a taxi ride of x miles. what is the rate of change of the cost in dollars with respect to the number of miles?
Answers
Answer:
rate of change of the cost in dollars with respect to the number of miles= 1.5
Step-by-step explanation:
We have been given the function y = 3.75 + 1.5(x-1)
Let us simplify this equation
y = 3.75 + 1.5(x-1)
y= 3.75+1.5x-1.5
y = 1.5x+2.25
On comparing this equation withe the slope intercept form y = mx + b, we get
m = 1.5
b = 2.25
here x represents distance in miles and y represents the cost in dollars. So, the rate of change of the cost in dollars with respect to the number of miles would be equal to the slope of the line.
Thus, we have
rate of change of the cost in dollars with respect to the number of miles
= slope
= 1.5
The rate of change of a function is the slope of the function.
The rate of change of the function is $1.5 per miles
The function is given as:
[tex]\mathbf{y= 3.75 + 1.5(x - 1)}[/tex]
Open bracket
[tex]\mathbf{y = 3.75 + 1.5x - 1.5}[/tex]
Collect like terms
[tex]\mathbf{y = 1.5x - 1.5 + 3.75}[/tex]
[tex]\mathbf{y = 1.5x +2.25}[/tex]
A linear equation is represented as:
[tex]\mathbf{y = mx +b}[/tex]
Where: m represents the slope
So, by comparison:
[tex]\mathbf{m =1.5}[/tex]
Hence, the rate of change of the function is $1.5 per miles
Read more about average rate of change at:
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Which lists all the integer solutions of the inequality |x| < 3?
A.) 0,1, and 2
B.) 0,1,2, and 3
C.) -2, -1, 0, 1, and 2
D.) -3, -2, -1, 0, 1, 2, and 3
Answers
38 divided by 1558 and please show your work
Answers
38/1558
The answer is 41.78941
38/1588
-152
68
- 38
300
- 266
340
- 304
360
- 342
180
- 152
38
- 38
0
The answer is 41.78941
38/1588
-152
68
- 38
300
-266
340
-304
360
-342
180
-152
38
-38
0
Select from the drop-down menu to correctly identify the property shown.
5.2+(−2.4+(−3.9))=(5.2+(−2.4))+(−3.9)
what type of property is this??
Answers
I believe this would be the addition property of equality.
Hope this helps!
PLEASE HELP :):):):):):):):))
Joe's age x, is 5 times his age 10 years ago. Which equation represents the statement?
a) x = 5x - 6
b) x = 5x + 6
c) x= 5 - 10x
d) x = 5(x - 10)
Answers
Answer:
d) X=5(X-10)
Step-by-step explanation:
Joe's age is change to X, so we know that his age today is 5 times his age 10 years ago.
His age ten years ago is X-10, if for example he is 25 today then his age ten years ago would be 15 (25-10).
If his age now is 5 times his age 10 years ago we will have to multiply his age ten years ago to get his age today.
Example:
5(X-10), this is how we can write 5 times his age 10 years ago, in a mathematical way.
Now we just have to know that this equation is equal to his age today X.
5(X-10) = X, or another way to put it is:
X=5(X-10)
In the given kite, AE = 6 ft , BE =9ft , and DE = 15ft . Determine the area of the kite .
Answers
BE Plus DE=24
The 12*24=288
Bc you multiply length times width
I hoper I helped
Answer:
The area of a kite is 144 ft².
Step-by-step explanation:
Given information: AE = 6 ft , BE =9ft , and DE = 15ft .
Area of kite is
[tex]A=\frac{1}{2}d_1d_2[/tex]
where, [tex]d_1\text{ and }d_2[/tex] are diagonals of kite.
From the given figure it is clear that BD and AC are diagonals of the kite.
[tex]d_1=BD=BE+DE=9+15=24[/tex]
[tex]d_2=AC=AE+CE=6+6=12[/tex]
The area of given kite is
[tex]A=\frac{1}{2}\times 24\times 12[/tex]
[tex]A=144[/tex]
Therefore the area of a kite is 144 ft².
Use the table to write and solve an equation to tell you the number of minutes for which the cost of both phone companies is equal
Answers
company B : 0.06m
to find out when they are equal, set them equal to each other and solve for m, the number of minutes
0.36 + 0.03m = 0.06m
0.36 = 0.06m - 0.03m
0.36 = 0.03m
0.36 / 0.03 = m
12 minutes <=== they will be the same at 12 minutes
check...
company A : 0.36 + 0.03(12) = 0.72
company B : 0.06(12) = 0.72
correct
Answer:
For 12 minutes, the cost of both companies will be equal and the cost will be 72¢.
Step-by-step explanation:
We are given the following information:
Let x be the number of minutes where the cost of both companies is equal.
Company A charger = 36 cents and 3 cents per minute
Company B charges = 6 cents per minute
Cost of Company A after x minutes:
[tex]36 + 3x[/tex]
Cost of company B after x minutes:
[tex]6x[/tex]
Equating the two equations:
[tex]36 + 3x = 6x\\6x-3x =36\\3x =36\\x=12[/tex]
Thus, for 12 minutes, the cost of both companies will be equal and the cost will be 72¢.
The graph of g(x) is a parabola with a vertex at (0, 2).
Which statement is true?
Neither function is an even function.
Only the function g(x) is an even function.
Both functions are even functions.
Only the function f(x) is an even function.
Thank you!
Answers
Now analyze the statements.
Neither function is an even function ---> FALSE because the fact that the function g(x) has vertex (0,2) means that the symmetry axis of the parabole is the y-axis, so you know that g(x) = g(-x) which is the definition of an even function.
Only the function g(x) is an even function ---> TRUE: I already explained you why you can tell that g(x) is even. Now you just mut observe the graph of f(x) to realize that f(x) is not equal to f(-x) which means that it is not even.
Both functions are even functions ---> FALSE as we stated above f(x0 is not even.
Only the function f(x) is an even function ---> FALSE as we stated above.
What is the debt-to-credit ratio of the Handy Hardware Credit Card?
Answers
EX: $1500+$1000+$500=$3000
step 2: add the amount of your creedit lines on your cards
EX: $6000+$3500+$2500=$12000
step 3: divide your total debt by your total credit
EX: $3000/$12000=25% or 0.25
Answer:
Debit to credit ratio is the ratio of amount of credit you are using divided by the total amount of credit you are eligible to use.
Step-by-step explanation:
Consider that you have a credit card issued to you by bank. Now its credit limit is $10,000. Up to now, you have spent $4000, your debit to credit ratio will become:
= (4000/10000)*100
= 40%
Now credit is the amount of money, equivalent to which, goods can be purchased with promise of future payments.
whereas, Debt is the money which is obligated to pay before services or goods are used.
So, debt to credit ratio is one of the important factors when banks issue credit cards of certain limits to their customers.
How much money would be collected if 24 were sold?show your work
CAN YOU GUYS ALSO HELP ME ON 10,and12
Answers
Please help me with this
Answers
If you have an equation where two number share the same base (ex: [tex]10 ^{x} * 10 ^{y}[/tex]), you keep the base the same and add the exponents ([tex]10 ^{x+y}[/tex]). So your first problem 10^5 * 10^7 = 10^12.
Dividing with exponents is just the opposite. If two numbers share the same base but have different exponents (ex: [tex] \frac{10 ^{x} }{10 ^{y} } [/tex]), you keep the base the same and subtract the exponents ([tex]10 ^{x-y} [/tex]). If this yields a negative exponent, you send it to the denominator and it becomes positive (ex: [tex]10 ^{-2} = \frac{1}{10 ^{2}} [/tex])
When simplifying expressions where you have the exponent of an exponent (ex: [tex](10 ^{x}) ^{y}[/tex]), you multiply the exponents together to create one power ([tex]10 ^{x*y}[/tex]. Same rule with yielding negative exponents applies but you should be okay looking at your worksheet.
If you need additional help still you can send me a message or reply in a comment and I'll come back. Same for if you need me to do examples from your piece of paper.
what it the answer to 5r-1/5=4/5
Answers
5(5r - 1/5) = (4/5)5
25r - 1 = 4
Then to isolate the variable you need to add 1 to both sides.
25r = 5
Then you divide.
r = 5/25
Simplify.
r = 1/5
I hope this helps love! :)
The answer to your problem is
R= 1/5
suppose you go to a concert and purchase 3 identical t-shirts and a hat. the hat cost $21 and you spend $60 in all how much does each t-shirt cost ?
Answers
That gives you 39, so you then divide that by 3.
That gives you 13, so each t-shirt cost $13.
Hope this helps
a rational function, a value is _________ from the domain if it would create a 0 in the function's denominator.
Answers
There are 12 pieces of fruit in a bowl. Seven of pieces are apples and two are peaches.what is the probability that a randomly selected piece of fruit will not be an apple or a peach? justify your answer
Answers
steps for solving 4(3x-6)=24
Answers
the average person's stride length ,the distance covered by one step ,is approximately 2.5 feet long.How many steps would the average person take to travel 50 feet?
Answers
Answer:
20 steps
Step-by-step explanation:
It is given that distance covered by one step is approximately 2.5 feet long.
⇒ 2.5 feet long = One step
⇒ 1 feet long = [tex]\frac{1}{2.5}[/tex]
∴ 50 feet = [tex]50\times\frac{1}{2.5} = 20 steps [/tex]
Hence, person has to take 20 steps for travelling 50 feet.
If a parking garage charges $5.50 to park for 4 hours and $7.75 to park for 7 hours. If the cost is a linear function of the number of hours parked, what is the cost to park for 3 hours?
Answers
7-4=3
2.25÷3=0.75
One hour is 0.75
three hours are 2.25
Answer:2.25
Step-by-step explanation:
a robot can complete 8 tasks in 5/6 hour. each task takes the same amount of time.
a. how long does it take the robot to complete the task?
b. how many tasks can the robot complete in one hour?
Answers
8 tasks in 50 minutes
1 task = 50/8 = 6 1/4 minutes
a. robot completes task in 6 1/4 minutes
b. #tasks per hour =
#of tasks × time takes to do task < or = 60
n × 6.25 = 60
6.25n = 60.
n= 60/6.25 = 9.6
robot can complete 9 tasks in one hour
Answer:
A robot can complete 8 tasks in hour = [tex]\frac{5}{6}[/tex]
A robot can complete 1 task in hour = [tex]\frac{\frac{5}{6}}{8}[/tex]
A robot can complete 1 task in hour = [tex]\frac{5}{48}[/tex]
So, it take [tex]\frac{5}{48}[/tex] hours the robot to complete the task
A robot can complete tasks in [tex]\frac{5}{6}[/tex] hour = 8
A robot can complete tasks in 1 hour = [tex]\frac{8}{\frac{5}{6}}[/tex]
=[tex]9.6[/tex]
So, the robot complete 9 tasks in one hour.
What is the length of VW?
A. 16 units
B. square root of 13 units
C. 20 units
D. square root of 20 units
Answers
Answer:
D. square root of 20
Step-by-step explanation: