Answers
Answer:
1. D
2. F
3. F
4. C
5. F
6. B
Step-by-step explanation:
1. To find the slope, take two points from the table (in this case I'll use points (-3, 7) and (-1, 4)) and put them into the expression: [tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{4-7}{-1-(-3)}[/tex]
Solve:
4 - 7 = -3
-1 - (-3) = -1 + 3 = 2
The slope is -[tex]\frac{3}{2}[/tex]
2. I used the same process I used in number 1 using the points (-2, 4) and
(1, -1)
3. The slope of both equations represents how much each t-shirt was sold for. This means that whichever equation has a higher slope made greater profits. The slope of store B is 3.75 - we know this because the equation given is in y = mx, where m is the slope. To find the slope of store A, use the method I used in question 1 using two points from the graph ( I used points (0, 0) and (10, 40)). The slope of store A is 4, which is greater than 3.75, meaning that Store A made a greater profit per t-shirt.
4. To find the slope and y-intercept of this equation, let's convert the equation to slope-intercept form, y= mx + b, where m is the slope and b is the y-intercept. To do this we have to isolate the y:
y + 9x = -6
Subtract 9x from both sides to isolate the y:
y + 9x - 9x = -6 - 9x
y = -6 - 9x
This equation can also be written as: y = -9x - 6
Now we can see that the slope is -9 and the y-intercept is -6.
5. Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Slope is also known as rise over run. Looking the graph, for every 2 points it decreases on the y-axis, it increases by 1 on the x-axis. This can be written as -2/1, or simply -2. To find the y-intercept, find the point on the graph where the line intersects the y-axis. In this case, it's at y = -1. Now that we know the values of our slope and y-intercept, we can put them into the equation:
y = mx + b
y = -2x - 1
6. The y-intercept represents the amount Alice will have to pay for the game center before she pays for any guests. This value is $100.
Related Questions
What value of n makes the equation 4(0.5n-3) =n-0.25(12-8n) true?
Answers
Answer:
n = -9Step-by-step explanation:
Given
4(0.5n-3) =n-0.25(12-8n)Solving for n
4(0.5n) - 4(3) = n - 0.25(12) + 0.25(8n)2n - 12 = n - 3 + 2n-12 = n - 3n = 3 - 12n = -9Please help! Thanks!!
Answers
Answer:
a) Equation is: 3x+4=22
b) Solving the equation we get the number x = 6
Step-by-step explanation:
a) Equation
Let the number be x.
Translating the statement into mathematical form:
Multiply the number with 3 i.e 3x
Add four i.e 3x+4
I get twenty two means: 3x+4=22
So, Equation is: 3x+4=22
b) Solve the equation:
3x+4=22
subtracting 4 on both sides
[tex]3x+4=22\\3x+4-4=22-4\\3x=18[/tex]
Divide both sides by 3
[tex]\frac{3x}{3}=\frac{18}{3}\\x=6[/tex]
So, the number x = 6
write an equation in slope intercept form of the line that passes through (-5, 19) and (5, 13). y=
Answers
Answer:
y= -[tex]\frac{3}{5}[/tex]x+16
Step-by-step explanation:
[tex]\frac{19-13}{-5-5}[/tex]
-[tex]\frac{6}{10}[/tex]
-[tex]\frac{3}{5}[/tex]=slope
13=-[tex]\frac{3}{5}[/tex](5)+C
13=-3+C
16=C=y intercept
Hi can someone please help me with my math work?
Answers
Answer:
Integers are 7, 8, 9
Step-by-step explanation:
Let three positive consecutive integers are (n - 1), n, (n + 1)
If the product of the second and the third integer is 72,
n(n + 1) = 72
n² + n = 72
n² + n - 72 = 0
n² + 9n - 8n - 72 = 0
n(n + 9) - 8(n + 9) = 0
(n - 8)(n + 9) = 0
(n - 8) = 0 ⇒ n = 8
(n + 9) = 0 ⇒ n = -9
For n = 8,
Integers will be ⇒ 7, 8, 9
For n = -9,
Integers will be ⇒ -10, -9, -8
Since, all integers are positive,
7, 8, 9 will be the answer.
What is the equation of a line parallel to Y=-3x+5 that passes through point (6,8)?
Answers
9514 1404 393
Answer:
y = -3x +26
Step-by-step explanation:
We assume the given line is ...
y = -3x +5
This is in slope-intercept form:
y = mx +b
where m = -3 and b = 5.
The parameter m represents the slope of the line. A parallel line will have the same slope, so will be of the form ...
y = -3x +b
We can find the value of b using the given point:
8 = -3(6) +b
26 = b . . . . . . add 18
So, the equation of the parallel line through (6, 8) is ...
y = -3x +26
How can you tell if an expression is a monomial , binomial or trinomial?
Answers
Answer:
Look at the Latin root. Mono means one, so [tex]2x^{2}[/tex] is an example because it is only made up of one term. Bi means two, so [tex]3x^{3}[/tex]+4 is an example because it was two terms. Tri means three, so there needs to be three terms for it to be a trinomial. [tex]2x^{5}[/tex]-3x+5 is an example of a trinomial because it was three terms within the equation.
I hope this helps!
I need help on the first question please will mark brainiest
Answers
Answer:
D. [tex]2^{18}[/tex]
Step-by-step explanation:
The expression is: [tex](2^{6}) ^{3}[/tex] * [tex]2^{0}[/tex]
For the first term: When a term with an exponent is inside parentheses with another exponent on the outside, the two exponents are multiplied by each other:
6 * 3 = 18
Now the expression looks like this: [tex]2^{18}[/tex] * [tex]2^{0}[/tex]
Any number to the power of zero is 1.
So the equation now looks like this: [tex]2^{18}[/tex] * 1
After you multiply the two terms, you end up with [tex]2^{18}[/tex].
Answer:
The answer is D 2^18
Step-by-step explanation:
can someone help with explanation what is 2+√12/√27
Answers
Answer:
Step-by-step explanation:
2. A plumber charges a $70 fee for a repair plus $30 per hour. Write an equation to model the
total cost y of a repair that takes x hours. What is the slope? What is the y-intercept?
(3 points)
Answers
Answer:
y = 70 + 30x
slope 30
y intercept 70
Step-by-step explanation:
Twice a number increased by 1 is -11. Find the number.
Answers
Answer:
x=-6
Step-by-step explanation:
Twice mean multiply by 2
and twice a number is 2x (If you let x be the "number")
increase means adding by
increase by 1 is adding by 1
Is means =
is -11 is
=-11
now that we have all the things we add it up
Wice a number increased by 1 is -11:
2x+1=-11
Now you move the 1 to the other side by subtracting by 1 on both sides:
2x+1-1=-11-1
Simplify:
2x=-12
divide both sides by 2:
x=-6
Hope this helps!
Which agency offers the better deal
Answers
Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time
he swims. This week, he spent more than 6 hours training for the race. Which graph represents his possible training
times this week?
Answers
Answer:
The possible graph is "A". A further explanation is given below.
Step-by-step explanation:
The given values are:
Dominick spends on running
= 0.70 hours
He spends on swimming
= 1.5 hours
This week,
Dominick spends more than six hours.
If,
Number of runs be "x".
Number of swimming be "y".
then,
⇒ [tex]0.75x+1.5y>6[/tex]
⇒ [tex]75x+150y>600[/tex]
⇒ [tex]x+2y>8[/tex]
Therefore, [tex]x+2y=8[/tex]
x = 0
y = 4
So the above is the correct answer.
This hydraulic system should produce an output force of 50,000 newtons. How large an area should the output piston have?
Answers
Complete question is;
In a hydraulic system, a 100-newton force is applied to a small piston with an area of 0.0020 m².
This hydraulic system should produce an output force of 50,000 newtons. How large an area should the output piston have?
Answer:
A2 = 1 m²
Step-by-step explanation:
Using Pascal's Law which is here applied to mechanical advantage of a hydraulic piston, we can find the area of the large piston from;
F1/A1 = F2/A2
We are given;
Force of small piston: F1 = 100 N
Area of small piston; A1 = 0.0020 m²
Force of small piston: F2 = 50000 N
Thus;
Making A2 the subject, we have;
A2 = (F2/F1)A1
A2 = (50000/100) × 0.0020
A2 = 1 m²
x + y = 4.25
16.90x + 4y = 36.35
Answers
Answer:
x=1.5 y=2.75
Step-by-step explanation:
Answer:
Step-by-step explanation:
use the first equation to solve the second equation
y = 4.25 - x
16.90x + 4(4.25 -x) = 36.35
16.90x + 17 - 4x = 36.35
12.90x = 19.35
x = 1.5
y = 4.25-1.5
y= 2.75
x=1.50
y=2.75
What is the equation of the line through the origin and (7, 2)?
Answers
Answer:
Equation of line passing through origin and (7,2) is: [tex]y = \frac{7}{2}x[/tex]
Step-by-step explanation:
The general form of equation of line is given by:
[tex]y = mx+b[/tex]
When a line passes through origin it has no y-intercept so the equation will become
[tex]y = mx[/tex]
Slope is given by the formula
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Here,
(x1,y1) = (0,0)
(x2,y2) = (7,2)
Putting the values in the formula
[tex]m = \frac{7-0}{2-0} = \frac{7}{2}[/tex]
Putting the value of slope in equation of line
[tex]y = \frac{7}{2}x[/tex]
Hence,
Equation of line passing through origin and (7,2) is: [tex]y = \frac{7}{2}x[/tex]
Answer:
y = 2/7x
Step-by-step explanation:
ap.ex
please help me answer it
Answers
Answer:
Yes, I think. I could be wrong but hopefully not!
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
it follows a pattern so it is a function. I am pretty sure about this because I learned about functions and non functions a few classes ago.
Please help me with this question.... please
Answers
A bookshop had 650 copies of a book for sale. The books were marked at 75 per copy in order to make a profit of 30%. A bookseller bought 300 copies at 5% discount. If the remaining copies sold at 75 each, calculate the percentage profit of the bookshop will make on the whole
Answers
Answer:
The percentage profit of the bookshop will make on the whole is 27%.
Step-by-step explanation:
The following are given in the question:
Copies of books for sale = 650
Selling price per copy = 75
Copies sold at 5% discount = 300
Discount rate = 5%, or 0.05
Percentage profit per copy = 30%, or 0.30
To calculate cost per copy, the following formula is used:
Percentage profit per copy = (Selling price per copy – Cost per copy) / Cost per copy …….. (1)
Substituting the values into equation (1) and solve for Cost per copy, we have:
30% = (75 - Cost per copy) / Cost per copy
0.30 * Cost per copy = 75 - Cost per copy
(0.30 * Cost per copy) + Cost per copy = 75
1.30 * Cost per copy = 75
Cost per copy = 75 / 1.30
Cost per copy = 57.6923076923077
Therefore, we have:
Total cost = Copies of books for sale * Cost per copy = 650 * 57.6923076923077 = 37,500
Selling price at 5% discount = 75 * (100% - Discount rate) = 75 * (100% - 5%) = 75 * 95% = 71.25
Revenue from sales at selling price at 5% discount = Selling price at 5% discount * Number of sales at 5% discount = 71.25 * 300 = 21,375
Revenue from the remaining copies sold at 75 per copy = (Copies of books for sale - 300) * 75 = (650 - 300) * 75 = 350 * 75 = 26,250
Total revenue = Revenue from sales at selling price at 5% discount + Revenue from sales at 75 per copy = 21,375 + 26,250 = 47,625
Total profit = Total revenue - Total cost = 47,625 - 37,500 = 10,125
To calculate the percentage profit of the bookshop will make on the whole, the following formula is used:
Percentage profit on the whole = (Total profit / Total cost) * 100 ................ (2)
Substituting the relevant values form above into equation (2), we have:
Percentage profit on the whole = (10,125 / 37,500) * 100
Percentage profit on the whole = 0.27 * 100
Percentage profit on the whole = 27%
Therefore, the percentage profit of the bookshop will make on the whole is 27%.
Brainliest!! What is the end behavior of the graph of the polynomial function f(x) = 2x3 – 26x – 24?
Answers
Answer:
the answer is b
Step-by-step explanation:
Solve 2a² and 3b²-c³ if A=3 ,B=2 ,C=1
Answers
2a² = 2 x 3²
3² = 9
So 2a² = 2 x 9
2a² = 18
We know b = 2 and c = 1, so substitute these values into the expression:
3b² - c³ = 3 x 2² - 1³
2² = 4
1³ = 1
So:
3 x 4 - 1
Using the order of operations we multiply first:
3 x 4 = 12
Take off the 1:
Final answer:
3b² - c³ = 11
Akio buys scissors for $3.79, tape for $2.57, and pens for $5.80. The sales tax is 6.25%.
What is the amount of tax for Akio's purchases?
Enter your answer in the box
Answers
Answer:
$0.76
Step-by-step explanation:
3.79+2.57+5.8=12.16
12.16 x 0.0625=0.76
To solve this, you have to add all the prices together and then convert the percentage into a number so that you can multiply it by the total sales. You end up with 0.76 cents as the taxes for Akio's Purchase.You convert the percentage by moving it backward 2 decimal places.
Answer:
is o.76
Step-by-step explanation:
I took the quiz
Circle Q has a circumference of approximately 50 centimeters. Circle Q with diameter d is shown. What is the approximate length of the diameter, d? Use 3.14 for . Round to the nearest tenth of a centimeter. 4.0 centimeters 8.0 centimeters 15.9 centimeters 31.8 centimeters
Answers
Answer:
C: 15.9cm
Step-by-step explanation:
d= circumference/π
= 50/3.14
=15.9 cm
Answer:
c
Step-by-step explanation:
on edge 2020
Please help :( please
Answers
Answer:
1. $6.88
2. 16 oz box
3. 5 dollars if u were to buy the 11 pound I think
Step-by-step explanation:
1. 24 pack because if you got 2 packs of Diet coke for 3.99 each then it would be 7 something dollars which is higher than 6.88
2. cheaper for more
someone plz help me i'm so confused
(click on picture)
Answers
Answer:
the equation to finding slope is this:
y2-y1 / x2-x1
Where y2 is the y value of the second point, y1 is the y value of the first point, x2 is the value of the second x value, and x1 is the x value of the first point.
5-0 / -2-2
5/-4
-5/4 is the slope
Step-by-step explanation:
Answer:
[tex]m=\frac{-5}{4} \\[/tex] which is the slope.
Step-by-step explanation:
Since we have two points on the line, we can easily calculate the slope.
Point 1 = (-2, 5)
Point 2 = (2, 0)
[tex]m=\frac{rise}{run}\\m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{0-5}{2-(-2)} \\m=\frac{-5}{4}[/tex]
Evaluate the logarithm.
log9(1/81)
a. 2
b. -2
Answers
Because 9=3^2
And 1/81 = 3^-4
So you can rewrite it and get
Log 3^2 (3^-4)
And to solve it use x/y
You will get -4/2=-2
The solution of the logarithmic functions [tex]log_9 ( \dfrac{1}{81} )[/tex] would be, - 2. Hence option b is true.
Given that,
The expression is, [tex]log_9 ( \dfrac{1}{81} )[/tex].
Used the formula of logarithmic functions that are,
[tex]log (m^n) = n log m[/tex]
And, [tex]log_a (a) = 1[/tex]
Now, simplify the given logarithmic functions by using the above formula,
[tex]log_9 ( \dfrac{1}{81} )[/tex]
[tex]log_9 ( 81 )^{-1}[/tex]
[tex]log_9 ( 9^2)^{-1}[/tex]
[tex]log_9 ( 9)^{2 \times -1}[/tex]
[tex]log_9 ( 9)^{-2}[/tex]
Apply the formula [tex]log (m^n) = n log m[/tex],
[tex]- 2 log _ 9 (9)[/tex]
Since, [tex]log_a (a) = 1[/tex]
Hence, it can be written as,
[tex]- 2 log _ 9 (9)[/tex]
[tex]- 2 \times 1[/tex] [tex]= - 2[/tex]
Therefore, the solution is,
[tex]log_9 ( \dfrac{1}{81} ) = - 2[/tex]
To learn more about logarithms visit:
brainly.com/question/30085872
#SPJ6
Solve for x
4x + 8 = 6x – 1
Answers
Answer:
x = 9/2
Step-by-step explanation:
4x + 8 = 6x - 1
4x - 6x = - 1 - 8
-2x = -9
2x = 9
x = 9÷2
x = 9/2
-TheUnknownScientist
Please help me with this question! :)
Answers
Answer:
adding 5 tiles each time
Question 2015
4
Rewrite
1
3
as a unit rate.
O A. 2:1
O B. 12:1
O C. 12:6
D. 2:9
What is the answer?
Answers
Answer:
i think it's c
Step-by-step explanation:
12:6 can be done as 4:12 also saying 1:3
Expand and simplify (x + 3)(x-4)
Answers
Answer:
2x -1
Step-by-step explanation:
x*x =2x 3-4 =-1
2x+-4
James has $120 in his savings account and
plans to save $x each month for 6 months.
The expression $6x + $120 represents the
total amount in the account after 6 months.
Factor the expression 6x + 120.
Answers
Answer:
6(x + 20)
Step-by-step explanation:
you need to divide both numbers by six.
I recommend downloading photomath for a more detailed explanation and for help with math in the future.