Using the slope value of the functions, the rate per day of hedge trimmer is greater than that of Lawn mower.
The cost function for renting hedge trimmer and Lawn mower :
Hedge trimmer :
y = 30x + 20Lawn Mower :
y = 25x + 10The rate per day is given by the slope value of the function.
Slope of hedge trimmer = rate per day = 30Slope of lawn mower = rate per day = 25Hence, the rate per day of hedge trimmer is greater than that of lawn mower.
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Which equation represents a line which is parallel to y = 0?
A) y = 3
B) x = -8
C) y = x - 1
D) x = 4y
Answer:
y=3
Step-by-step explanation:
Horizontal Lines
write the equation of a line parallel to 2x+3y=12 that passes through the point (-3,4)
Answer:
[tex]y = \frac{-2}{3}x + 2[/tex]
Step-by-step explanation:
The first step is convert the given equation in a dependent and independent equation.
[tex]2x + 3y = 12[/tex]
[tex]3y = 12 - 2x[/tex]
[tex]y = 4 - \frac{2}{3}x[/tex]
[tex]x[/tex] is the independent variable and [tex]y[/tex] the dependent variable.
Since both lines are parallel the slope of both equations are the same
[tex]y = \frac{-2}{3}x + b[/tex]
Now for find the unknow [tex]b[/tex] replace the [tex]x[/tex] and [tex]y[/tex] fo the given point.
[tex]4 = (\frac{2}{3})3 + b[/tex]
[tex]4 = 2 + b[/tex]
[tex]4 - 2 = b[/tex]
[tex]2 = b[/tex]
So the final equation is equal to
[tex]y = \frac{-2}{3}x + 2[/tex]
What is the slope of the equation Y = 5/4x-7/4
A. -7
B. -7/4
C. 5/4
D. 5
Answer:
C. 5/4
Step-by-step explanation:
Slope formula is y=mx+b so your slope is m
In your equation y=5/4x-7/4, your slope is where m would be, so 5/4
Answer:
the slope of the equation is 5/4
The graph of y=f(x) is above. If f(-4)=k, what is the value of f(k)?
(A) -2
(B) -1.5
(C) -1
(D) 1
(E) 3
PLESE HELP ASAP A rice dish requires 1/3 cups of rice for every 3/4 cups of water. How many cups of rice is needed per cup of water? Enter your answer in the boxes as a fraction in simplest form.
Answer:
3/6 of a cup for every cup of water.
Step-by-step explanation:
Use the Distributive Property to write each expression as an equivalent expression. Then evaluate it.
7(7 – 9)
Question 15 options:
Answer: The answer is 40.
Step-by-step explanation: 7(7-9) when you use distributive property you will use the 7 outside the parenthesis. Multiply the property inside. then you will get 49-9. Then you will solve it and get the answer 40.
Which statements are true about the polynomial function?
f(x)=x^4+5x^3−x^2−5x
Select each correct answer.
A.) f(x) divided by (x+5) has a remainder of 0.
B.) (x−5) is a factor of f(x) .
C.) f(x)=0 when x=−5 .
D.) f(5)=0
Answer:
A and C are correct
Write the equation of the horizontal line that passes through the point (2,-12)
Answer:
y=-12
hope this helps!
the ratio of white marbles to black marbles is 7 to 10. if there are 136 marbles in the bag how many marbles are white?
Answer:
White Marbles: 56
Step-by-step explanation:
Let number of white marbles be x
7/10=x/136-x
10x=7(136-x)
10x=952-7x
17x=952
x=56
Answer:
56
Step-by-step explanation:
7/17 * 136 = 56.
Assume your phone bill averages $165 a month and you have a car payment that is $505 per month. You also spend about $150 a week on food. How much are your monthly expenses?
Answer:
1270 a month on expenses
Answer:
1270 a month
Step-by-step explanation:
There is 4 weeks for month so you multiply 150 x 4 = 600 and just add 165 and 505 which is equal to 1270
Find the product
(y-3)(y-4)
Answer:
y^2-7y+12
Step-by-step explanation:
muliply each unit of the first parentheses by the second
Using the translation that moves A (2, -3) to its image A' (-1,
A
-5), complete the mapping for the translation (x, y) –
Step-by-step explanation:
(-3,-2)
that is the translation matrix for this question
carla buys 6 pounds of turkey and 4 pounds of ham. shay pays a total of $30.50. the turkey cos $.50 more than the ham. how much did carla pay for the 1 pound of turkey and 1 pound of ham
Answer:
1 pound of turkey-3.25 and 1 pound of ham-2.75
Step-by-step explanation:
t+h=30.50
h(.50)=t
What is the equation of the line that passes through the point (-5, 4) and has a
slope of – 3 over 5
Answer:
y=-3/5(x+5)+4
Step-by-step explanation:
y=m(x-h)+k
y=-3/5(x+5)+4
Find the missing length. The triangles are similar.
Answer:
18
Set up a ratio since they are similar (congruent in the ratio of side length):
[tex]\frac{52}{24} =\frac{39}{x}[/tex]
Cross multiply:
52x = 936
x = 18
1 3/5 plus 4 1/5 add or subtract write in simplest form
Answer:
Step-by-step explanation:
1 3/5 + 4 1/5
= 8/5 + 21/5
= 29/5
= 4 4/5.
4 1/5 - 1 3/5
= 21/5 - 8/5
= 13/5
= 2 3/5.
Fifteen less than the product of
seven and a number is four
What is this in number form
Answer:
the product of some number (call it x) and 7 is:
7⋅x or just 7x
now take 15 less than that:
7x−15 or y=7x−15
Orla and Eduardo each looked at a strand of their hair under a microscope and measured the diameter. Orla's strand was 0.005 cm in diameter, and Eduardo's strand was 0.012 cm in diameter.
How much greater was the diameter of Eduardo's hair?
What is the equation of this line in standard form?
A: 9x−8y=23
B: 8x−9y=23
C: 8x−9y=−23
D: 8x−7y=−25
Answer:
B:8x-9y=23
Step-by-step explanation:
First find the slope:
m= y2-y1/x2-x1
y2 is 3
y1 is -1
x2 is 1/2
x1 is -4
3-(-1) is 4
1/2-(-4) is 9/2
Now the equation looks likes this:
4 / 9/2
Which can be rewritten as
4*2/9
Thus the slope is 8/9
So the equation is
y=8/9x+b
Now you can substitute to find the y-intercept:
(you can do either (-4,1) or (1/2,3)
I am going to do (1/2,3) since it is easier
3=8/9(1/2)+b
Simplify:
3=4/9+b
Subtract 4/9 on both sides:
b=23/9
Thus the equation is
y=8/9x+23/9
Multiply 9 on both sides:
9y=8x+23
Subtract 8x on both sides:
8x-9y=23
Hope this helps!
Given z1 and z2, what is the midpoint?
z1=5-7i and z2=-9+3i.
Answer:
[tex]7-2i[/tex]
Step-by-step explanation:
As you're used to do in the real plane, midpoint is the average of Real and Imaginary part. So [tex]\frac{5+9}2 +i \frac{-7+3}2 = \frac{14}2+i\frac{-4}2 = 7-2i[/tex]
Answer:
-2+5i
Step-by-step explanation:
Here is a triangle:
(a) Work out the size of the angle marked a.
(b) Work out the size of the angle marked b.
Answer:
a.) 130°
b.) 70°
Step-by-step explanation:
For a given triangle
a.)The sum of all angles on a straight line is equal to 180°
Now,
50° + a = 180°
Subtract 50° from each side we get,
50° - 50° + a = 180° - 50°
a = 130°
Thus, The size of the angle marked a is 130°
b.)The sum of all angles in a triangle is equal to 180°
Now,
b + 50° + 60° = 180°
b + 110° = 180°
Subtract 110° from both side we get,
b + 110° - 110° = 180° - 110°
b = 70°
Thus, The size of the angle marked b is 70°
-TheUnknownScientist 72
The Pie Problem!
Question: The Morgans had pumpkin pie for their Thanksgiving dessert.
The mom ate 1/4 of the pie. The dad ate 2/3 of what was remaining after the mom ate
her portion. The daughter ate 1/2 of what was remaining after the dad ate his portion
How much of the ple is left after the daughter ate her portion?
Answer:
1/12
Step-by-step explanation:
find the least common multiple of the denominators.
which is 12
so 1/4=3/12
2/3=8/12
1/2=6/12
so 3/12- 8/12 - 6/12 = -11/12
so there is 1/12th pieces left after they all ate their portions of the pie
Toby buys a new game for the price of $45.50. If the sales tax is 5%:
What is the sales tax amount?
What is the final amount
including taxi need it today
Answer:
Taxi Cost = $47.78
Step-by-step explanation:
Taxi Cost = Cost of the ride + (Cost of the ride × sale tax %) 5% = .05 as a
decimal
Taxi Cost = $45.50 + (45.50 × .05)
Taxi Cost = $45.50 + $2.275)
Taxi Cost = $47.775
Taxi Cost = $47.78
Question 2
Solve for the variable cin this equation:
a(c + b) =d
A. C= d-ab/a
B. C= d+ab/a
C. C= ab- d/a
D. d-ab/b
Answer:
A. C = (d-ab)/a
Step-by-step explanation:
a(c + b) = d
a(c + b)/a = d/a
c + b = (d/a)
c = (d/a) - b
a(c + b) = d
ac + ab = d
ac = d - ab
ac/a = d/a - ab/a
c = (d/a) - b
please help with statistic 21
Part A
Extend the table so that we have row and column totals as shown in the diagram below.
There are 986 accurate orders from all four restaurants combined, out of 1125 orders total. The probability of an accurate order is 986/1125. Selecting two such orders, with replacement, means we get a probability of
(986/1125)*(986/1125) = 0.7682 which is approximate.
Now to the question of independence vs dependence. It all comes down to this: Does the first selection affect the second selection? If so, then we have dependent events. Otherwise the events are independent. Because we put the first selection back (or replaced it with an equivalent order), this means the first selection does not alter the second selection. The two selections effectively exists in their own separate universe so to speak.
Answer: The probability is 0.7682 and the events are independent============================================================
Part B
This time, we aren't putting the order back in the pile. Whatever we select is taken out entirely without replacement. The first selection will affect the second one. The probability of getting an accurate order for the first selection is 986/1125 = 0.8764 while the second selection is slightly different at 985/1124 = 0.8763. This difference is enough to show that we have dependent events. The second event depends on the first.
Note the second fraction has each term drop by 1.
The probability of picking two accurate orders, when replacement is not made, is (986/1125)*(985/1124) = 0.7681 approximately
Answer: The probability is 0.7671 and the events are not independent.Helppp me Please!! i beg
Answer:
The answer would be -16
Step-by-step explanation:
Add
5
Solve the equation for x.
x/5 = -8
Answer:
x = -40
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.
Multiply 5 to both sides of the equation:
(x/5) * 5 = (-8) * 5
x = -8 * 5
x = -40
x = -40 is your answer.
~
Answer:
[tex] \mathbb= > \frac{x}{5} = - 8[/tex]
[tex]\mathbb = > x = - 8 \times 5[/tex]
[tex]\mathbb = > x = - 40[/tex]
A cylinder has a height of 30 ft and a volume of 63.679 ft3. What is the radius of the cylinder?
Round your answer to the nearest whole number
Answer:
26 ft
Step-by-step explanation:
EQUATION ---> c/-q+6=14
answer choice
a) c=29
b) c=-72
c) c= 72
d) c= 68 Help please :(
Answer:
c/-9+6=14
c/-9=14-6
c/-9=8
c=8×(-9)
c= -72
Therefore the answer is (b)
the sum of two numbers is 75. the first is 9 more than 5 times the second. find the first number
Answer:
1st number is 64
Step-by-step explanation:
Lets start by making the words into equations.
So the 1st plus the 2nd is 75:
1st+ 2nd= 75
Now the tricky part. The 1st is 9 more than 5 times the 2nd. The key word 'times' means multiplication, we we will have 5 x 2nd somewhere in our equation. The '1st is 9 more than' part tricks us into thinking we will have 1st plus 9, BUT WE WON'T because it isn't 9 more, its 9 more THAN. This means we will get.
1st= 5 x 2nd +9
To make this a little cleaner, I will have the 1st = X and the 2nd= y.
x+y=75
x=5y+9
We can substitute the bottom equation into the top equation.
5y+9+y=75
Combine like terms
6y+9=75
Solve for Y by getting y alone.
6y+9=75
6y=66
y=11
Then we can take our value of y and plug it back into either equation to solve for X. The top equation is the easiest.
x+11=75
Isolate x to solve for x
x=64
And we established that x= the 1st number, so the 1st number is 64
