The cost of electricity is obtained as follows: A fixed charge of $(a), rent of a meter $(b) and a charge of (c) cents for unit of electricity supplied Determine the total cost of using n units of electricity.
Answer:
$(a + b) + cn cent
Step-by-step explanation:
Given :
Fixed charge = $a
Rent of a meter = $b
Charge per unit of electricity = c cents
The total cost of using n units of electricity :
For n units of electricity ;
Fixed charge is paid once
Meter rent is paid once
The cost of electricity = (number of units * cost per unit) = (n * c) = nc cents
Total cost of n units of electricity :
$(a + b) + cn cent
Substitute the values of a = 7 and b = 11. What expression do you get when you substitute these two values? 67 + 311 6 ( 7 ) + 3 ( 11 ) 6 ( 7 ) - 3 ( 11 ) 7 ( 7a) + 3 ( 11b)
Answer:
[tex]6(7) + 7(11)[/tex]
Step-by-step explanation:
Given
The expression is:
[tex]6a + 7b[/tex]
[tex]a = 7[/tex]
[tex]b = 11[/tex]
Required
The corresponding expression when the values are substituted for the variables
We have: [tex]6a + 7b[/tex]
Substitute [tex]a = 7[/tex]
So, the expression becomes:
[tex]6(7) + 7b[/tex]
Substitute [tex]b = 11[/tex]
So, the expression becomes:
[tex]6(7) + 7(11)[/tex]
Consider two functions: g(x)=−x^2−6x and the quadratic function f(x) shown in the table.
Which statements are true?
Answers:
f(x) is greater than g(x) on the interval (0,3)
g(3) is less than f(3)
The average rate of change of f(x) is greater than g(x) on the interval [0,3]
Answer:
The average rate of change of f(x) is greater than g(x) on the interval [0,3]
Step-by-step explanation:
:)) Hope it helps!!
PLS HELP ME THIS IS Probability (Single event) PLS HELP ME
Answer:
6/7
Step-by-step explanation:
Rewrite the equation by completing the square.
f(x)=x^2+x-30
f(x)=_(x+_)^2+_
pls helppppp
Answer:
f(x)= (x-5)(x+6)
Step-by-step explanation:
First, we find the factors of -30 that add up to +1
We can use 6 and -5
6+(-5)=1
f(x)= x^2+6x - 5x-30
then, we do group factorization
f(x)= x(x+6)- 5(x+6)
f(x)= (x-5)(x+6)
i hope this helps <3
HEWP KJ HLIXN Z
A:LMV
Answer:
i dont know why u deleted my answer- but ok
Step-by-step explanation:
Answer:
a hope it helps make brainlliest
3/4 divided by 6 2/3
Answer: 9/80
Step-by-step explanation:
This is a pic of my question..
Answer:
The answer is c
Step-by-step explanation:
5x+3y=19
multiply x 2: 10x+6y=38
2x-4y=-8
multiply by -5: -10x+20y=40
now you can add the two equations:
10x+6y=38
-10x+20y=40
add equations 0x+26y=78
Y=3
i need help
please :)
have a good day
Answer:
I think it's probably 5 hikes
Which of the following best explains why cosine StartFraction 2 pi Over 3 EndFraction not-equals cosine StartFraction 5 pi Over 3 EndFraction
Answer:
B.)- Cosine is negative in the second quadrant and positive in the fourth quadrant.
Step-by-step explanation:
Answer:
B.) Cosine is negative in the second quadrant and positive in the fourth quadrant. i just took the quiz
Step-by-step explanation:
I hope this helped ;)
HELP
Please help me
Answer:
A) [tex]f^{-1} (x)=\frac{5x+3}{2}[/tex]
Step-by-step explanation:
[tex]f(x)=\frac{2x-3}{5}[/tex]
[tex]y=\frac{2x-3}{5}[/tex]
[tex]x=\frac{2y-3}{5}[/tex]
[tex]\frac{5x+3}{2} =y[/tex]
[tex]y=\frac{5x+3}{2}[/tex]
So option (A)
---------------------------
hope it helps...
have a great day!!
Alica created a portrait that is 10 inches wide and 13 inches long she wants to put a frame that is 2 1/4 wide on each side
Answer:
[tex]A_f=470ft[/tex]
[tex]P_f=88ft[/tex]
Step-by-step explanation:
From the question we are told that:
Width of Portrait [tex]w=10inches[/tex]
length of Portrait [tex]l=13inches[/tex]
Frame each [tex]l_W=21/4inch each[/tex]
Generally the equation for area of portrait A is mathematically given by
[tex]A=w*l\\A=10*13\\A=130m^2[/tex]
Generally the equation for Perimeter of portrait is mathematically given by
[tex]P=2(w+l)\\P=2(10+13)\\P=46m[/tex]
Generally the equation for area of portrait with frame is mathematically given by
[tex]A=w_f*l_f[/tex]
where
w_f=width of portrait with frame
[tex]w_f=2*21/4+w\\w_f=2*21/4+10\\w_f=20.5ft[/tex]
l_f=Length of portrait with frame
[tex]l_f=2*21/4+l\\l_f=2*21/4+13\\l_f=23.5ft[/tex]
Therefore Area of picture with frame
[tex]A_f=w_f*l_f[/tex]
[tex]A_f=20.5*23.5[/tex]
[tex]A_f=470ft[/tex]
Generally the equation for Perimeter of portrait is mathematically given by
[tex]P_f=2(w_f+l_f)\\P_f=2(20.5+23.5)\\P_f=88ft[/tex]
[tex]f(x)=1/3(4-x)² what is the value of f(16)[/tex]
Answer:
wheneveryouseeanxonthe
rightputa16thatwhatf(16)
means.
f(16)=
3
1
(4−16)
2
f(16)=
3
1
(−12)
2
f(16)=
3
1
(144)
f(16)=48
[isyouranswer]
Step-by-step explanation:
mark me as brainliest.oky?
Beth is making fruit saladShe adds 5 grapes for every 2 strawberries she uses 12 strawberries, how many grapes will use? please get back to me !
Answer:
she uses 12×5=60 grapes
Answer:
30
Step-by-step explanation:
5 grapes : 2 strawberries
5 : 2
x : 12
x = (5 × 12) ÷ 2
x = 30
PLEASE HELP ASAP!! I WILL GIVE BRAINLIEST. Coleen read 159 pages of a book. This number represents 75% of the number of pages in the book. What is the total number of pages in the book.
Kirk Middle School students are trying to make the
largest Italian sub on record. They make an Italian sub
that is 6 feet long. They decide to divide the sub into
smaller portions to share with other students. If each
portion is foot long, how many students would get a
portion of the sub? Justify your work.
1. Which of the following natural numbers are perfect squares? Give reasons in support
of your answer.
(i) 729
(ii) 5488
(iii) 1024
(iv) 243
Answer:
729 and 1024
Step-by-step explanation:
If you take the square root of all of these numbers, only 729 and 1024 will give whole numbers.
Have a Great Day!
what expressions from the table are equivalent to that expression ?
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The applicable rules of exponents are ...
[tex]\displaystyle\sqrt[n]{x^m}=x^{\frac{m}{n}}\\\\(x^a)^b=x^{ab}\\\\(xy)^a=x^ay^a[/tex]
Find the volume of the triangular prism below 5mm 12mm 3mm
Answer: 90 mm cubed
Step-by-step explanation:
Formula = (L*W*H) / 2
5 * 12 * 3 = 60 * 3 = 180
180 / 2 = 90
Please help worth 30 points it’s geometry.
I have a grade check tmr and I have an F in geometry please help!!!
Answer:
everything is in the photo
15 points, needs to be done ASAP! Any joking around will lead to a report.
Answer: The mean is 6.
Step-by-step explanation: First you add all of the numbers together getting a total of 48. Next to find the mean you divide them by the total number of "dots". Lastly, you get the answer of 6 which is your mean.
Answer:
6.
Step-by-step explanation:
First you take the data on the dot plot, and write the numbers down from least to greatest.
The data set:
2,3,6,6,7,8,8,8
Now that you have the data reordered in a easier way to read, add up all the numbers that you got from the dot plot.
2+3+6+6+7+8+8+8=48
Next we count all the number in the data set we made.
2,3,6,6,6,7,8,8,8 = 8
The amount of numbers in this data is 8.
Lastly we then divide 48 by 8.
48/8= 6
So your answer is 6!
Calculate the volume of the shaded space. Round to the nearest tenth, if necessary.
Answer:
Volume of the shaded space = 4480.0 yd³
Step-by-step explanation:
Volume of the shaded space = Volume of cuboid - Volume of Pyramid placed inside
Volume of cuboid = Length × Width × Height
= 28 × 12 × 20
= 6720 yd³
Volume of pyramid = [tex]\frac{1}{3}(\text{Area of the base})(\text{Height})[/tex]
= [tex]\frac{1}{3}(28\times 12)(20)[/tex]
= 2240 yd³
Volume of the shaded space = 6720 - 2240
= 4480.0 yd³
Complete the square to go to the conic form of the circle. x^{2}+y^{2}+8x-2y+1=0
Answer:
Step-by-step explanation:
[tex]x^2+8x+y^2-2y=-1\\\\x^2+8x+16+y^2-2y+1=-1+16+1\\(x+4)^2+(y-1)^2=16\\\\(x+4)^2+(y-1)^2 = 4^2[/tex]
Write the inequality that represents the number line
Answer:
C)
Step-by-step explanation:
Describe a circumstance where there would NOT be both a positive and a negative solution, when finding the square root.
Answer:
If the value of the discriminant is equal to zero
If the value of the discriminant will equal to zero then there will not be both a positive and a negative solution, when finding the square root.
What is square root?The square root is the number with a power of 1/2 we can also say that by taking the square root we can find the original value of the number.
So from the condition given in the question that:-
There would NOT be both a positive and a negative solution, when finding the square root.
So if the number is zero then there will not be both a positive and a negative solution, when finding the square root.
= √0 = ± 0 = 0
Hence the value of the discriminant will equal to zero then there will not be both a positive and a negative solution, when finding the square root.
To know more about square roots follow
https://brainly.com/question/620307
#SPJ2
The length of your family's garden is 3 feet greater than the width. The area of the garden is 460 square feet. What are the dimensions of the garden?
Given:
The length of your family's garden is 3 feet greater than the width.
The area of the garden is 460 square feet.
To find:
The dimensions of the garden.
Solution:
Let x feet be the width of the garden. Then,
Length = [tex]x+3[/tex] feet
The area of a rectangle is:
[tex]A=l\times w[/tex]
Where, l is the length and w is the width of the rectangle.
The area of the rectangular garden is:
[tex]A=(x+3)\times x[/tex]
[tex]A=x^2+3x[/tex]
It is given that the area of the garden is 460 square feet.
Putting [tex]A=460[/tex], we get
[tex]460=x^2+3x[/tex]
[tex]0=x^2+3x-460[/tex]
Splitting the middle term, we get
[tex]x^2+23x-20x-460=0[/tex]
[tex]x(x+23)-20(x+23)=0[/tex]
[tex](x+23)(x-20)=0[/tex]
[tex]x=-23,20[/tex]
The width of a garden cannot be negative. So, [tex]x=20[/tex].
Now,
[tex]l=x+3[/tex]
[tex]l=20+3[/tex]
[tex]l=23[/tex]
Therefore, the length of the garden is 23 feet and the width of the garden is 20 feet.
manuela wants to make a cube from construction paper . if she cuts out the design below and folds it to make a cube , what will be the surface area of the cube?
25 cm2
70 cm2
125 cm2
150 cm2
Answer:
150 cm2
Step-by-step explanation:
one square would simply be base x height our base is 5 and height is 5 so i multiply that and get 25 since this is a cube all sides are equal so I will simply just multiply 25 by the number of sides since a cube has 6 sides our equation to get the answer would be 25 x 6 = 150 so 150 is our answer! Hope this is a good explanation! Have a good day!
What is the solution to 85<-5x+5?
A. x < 16
B. x > 16
C. x < -16
D. x > -16
Answer:C. x < -16
Step-by-step explanation:
If n/12 = 15/36 , then n= ___.
pls help me!
Answer: n=5
have an amazing day <3
i need help with question 2!!!! please help soon this is graded and i will give u brainliest!!!
Answer:
12.
Step-by-step explanation:
Area = base * perpendicular height
= 6 * 2 = 12.
Answer:
12 square units
Step-by-step explanation:
6 x 2 = 12
The ends of the parallelogram are triangles, so you can just multiply the base times height.