the expected values of two television sets are predicted as follows.(help a sis out)
Answer:
The graph of g(x) has a lesser y intercept
Step-by-step explanation:
Given
f(x) = 100(-x + 4)
Required
Determine the relationship between f(x) and g(x)
First, we need to get the equation of g(x).
From the question, we have that:
Initial Value = 360
Rate = -90 yearly
[It is negative because the rate shows decrement]
Hence, the equation of g(x) is:
g(x) = Initial Value + Rate * x
Where x represents number of years
g(x) = 360 + (-90 * x)
g(x) = 360 - 90x
g(x) = -90x + 360
Recall that
f(x) = 100(-x + 4)
f(x) = -100x + 400
To solve y intercept, we set x = 0.
f(0) = -100 * 0 + 400 = 0 + 400 = 400
g(0) = -90 * 0 + 360 = 0 + 360 = 360
By comparison, the graph of g(x) has a lesser y intercept
To solve x intercept, we set y = 0
For f(x)
0 = -100x + 400
100x = 400
x = 4
For g(x)
0 = -90x + 360
90x = 360
x = 4
By comparison, they have the same x intercepts.
From the list of given options, option A answers the question.
Mr. Grove cut down in tree in his yard. He gave 1/3 of the tree to his neighbor and 1/6 of the tree to his brother. Mr. Grove kept the remaining portion. How much tree did he keep?
A. 1/3
B. 2/3
C. 1/2
D. 5/6
Answer:
1/2 or C
Step-by-step explanation:
1/3 = 2/6. 2/6 + 1/6 = 3/6. that leaves 1/2 left over
There are 35 tickets in a bag and the ratio of winning tickets to losing tickets is 1 to 4. How many of each kind of ticket are in the bag
Answer: Number of winning tickets =7 and Number of losing tickets = 28 .
Step-by-step explanation:
Given: Total tickets = 35
The ratio of winning tickets to losing tickets = 1:4
Number of winning tickets = [tex]\dfrac{1}{1+4}\times35[/tex]
[tex]=\dfrac{1}{5}\times35\\\\=7[/tex]
Number of losing tickets = [tex]\dfrac{4}{5}\times35[/tex]
[tex]=4\times7=28[/tex]
Hence, Number of winning tickets =7 and Number of losing tickets = 28 .
Answer:
7 wining tickets and 28 losing tickets
Step-by-step explanation:
if x is 12% of 180, then what is the value of 7x ?
Answer:
7uby-step explanation:
If the ordered pair (a, b) satisfies the inequality. y > x-4, three of these statements are
true. Which statement is NOT true?
please give answer and show your work!! will give brainliest to correct answer w/ work if there are two or more answers!!
Answer:
The package contains 3 t-shirts and costs $18.75
$18.75/3 = unit price
Unit price = 6.25$
So, the correct answer is A.
Steve ran for class president against Mandy. Steve received 5 votes for every 3 votes that Mandy received. Mandy received 420 votes. If all the students only voted once?how many students voted in the election? Pls help ASAP!!
Answer:
1120
Step-by-step explanation:
The ratio Steve : Mandy is 5 : 3.
We use a proportion to find the number of votes Steve received.
x = number of votes Steve received.
5/3 = x/420
3x = 5 * 420
x = 5 * 140
x = 700
Steve received 700 votes.
The total number of votes is the sum of the votes Steve receive and Mandy received.
420 + 700 = 1120
In a survey, of the voters support a particular referendum. If 40 voters are chosen at random, find the mean and variance for the number of voters who support the referendum.
This question is incomplete, the complete question is;
In a survey, 55% of the voters support a particular referendum. If 40 voters are chosen at random,
find the mean and variance for the number of voters who support the referendum.
Answer:
a) The Mean is 22
b) Variance is 9.9
Step-by-step explanation:
Given that;
55% of the voters support a particular referendum p = 0.55
q = 1 - p = 1 - 0.55 = 0.45
sample size n = 40
a)
Mean = sample size n × p
Mean = 40 × 0.55
Mean = 22
Therefore the Mean is 22
b)
Variance = n × p × q
so we substitute
Variance = 40 × 0.55 × 0.45
Variance = 9.9
Therefore the Variance is 9.9
what is 5+5 and then divided by 8
A volunteer is buying 10 blankets for the animal shelter. Shipping the blankets will cost $12 and the volunteer has $75 total to spend. What is the maximum amount the volunteer can spend for each blanket? Write an inequality that would represent the situation and solve the inequality. Show your work to justify your answer.
Answer:
6.3
Step-by-step explanation:
10 blankets with an unidentified price plus 12 for shipping is equal to 75
10x+12=75
minus 12 from both sides
10x=63
divide 10 from both sides
x=6.3
Now, let's prove the answer is true.
10x+12=75
Replace x with 6.3
10(6.3)+12=75
10 times 6.3
63+12=75
75=75
The statement is true.
the pie below is cut into 15 equal slices. Shade 1/3 of this pie
Answer:
Shade 5 slices.
Step-by-step explanation:
15 / 3 = 5
5 * 3 =15
cube m holds a maximum of 64 unit cubes. each unit cube has an edge length of 1/2 centimeter. what is the length of cube m?
Answer:
136 or 34
Step-by-step explanation:
not sure if its right because my math is bad
What is the value of x?
Answer:
8
Step-by-step explanation:
You have to set up a proportion for this!
Because ABC and PAQ are similar triangles (same angles and PQ || BC), you can assume that all the equivalent sides are proportional!
If you solve the proportion for x:
[tex]\frac{x}{40} =\frac{7}{35}[/tex]
x = 8
Look at this coordinate plane
Which equation can be used to find the y-coordinate of point B?
y/1=23
y/2=56
y−1/2=4/6
y−1/2=y−5/4
Answer:
Hrmm
Step-by-step explanation:
Reduce the answer to lowest terms 4/5 divided 16/15
Answer:
3/4
Step-by-step explanation:
4/5 divided by 16/15 = 4/5 x 15/16
Simplfied = 1 x 3 / 1 x 4
Simplified = 3/4
Thus, our answer is 3/4
the 200th term of the arithmetic progression 10 97,94,91,.............is
Answer:
-500
Step-by-step explanation:
Given sequence;
97, 94, 91 ......
Unknown;
The 200th term of the sequence;
Solution:
Since we were given an arithmetic progression, we need to first find the common difference;
Common difference = second term - first term
= 94 - 97
= -3
To find the 200th term, we use the expression below;
Sn = a + (n-1)d
a is the first term
n is the nth term
d is the common difference
S₂₀₀ = 97 + (200 - 1 ) x -3 = -500
A painter uses 1.2 liters of the paint to cover 1m2 of the wall.
How many square meters he can cover with 6.6 liters of paint?
12)/1.2=120/12=10m^2
4.8/1.2=48/12=4m^2
6.6/1.2=66/12=11/2=5.5m^2
this is another way you can do it
1. 12/1.2 times as much paint, so 12/1.2 times as much area.
2. 6.6/1.2 times as much paint, so 6.6/1.2 times as much area.
3. 4.8/1.2 times as much paint, so 4.8/1.2 times as much area.
In a survey of 2100 people who owned a certain type of car,735 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
35%
Step-by-step explanation:
the percent is given by the ratio 735 / 2100 = 7/20 = 0.35
which in percent form is 35%
you have a bill of $56.40. find a 15% tip?
Answer:
$8.46
Step-by-step explanation:
15%=0.15
56.40(0.15)
8.46
Will MARK YOU!!!HELP!!! DUE IN 5MINS...
Use a table of function values to approximate an x-value in which the exponential function exceeds the polynomial function.
y = 2x
y = x2 + 4x - 2
0
1
2
3
help plsss i really need it
Answer:
can u re-upload the image i cant see it
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Use digits to write the value of the 9 in this number.
139,648
Answer:
Hi the answer would be 9,000 or nine thousand
Step-by-step explanation:
Hope this helps <3
A plane flies with a speed of 600 mph. What distance will it fly
in 3 /5 hours,11/12 hours, 4/15 hours?
Answer:
3/5=360 mph 11/12=550 4/15=160
Step-by-step explanation:
Ashton is depositing money into a checking account. After 3 months there is $120 in the account. After 6 months, there is $240 in the account. Determine the constant rate of change of the account.
The constant rate of change of the account is $40 or Increasing by $40 per month.
Step-by-step explanation:
Consider the provided information.
Joanne is depositing money into a bank account. After 3 months there is $120 in the account. After 6 months there is $240 in the account.
Rate of change is known as how one quantity change in relation to other.
The rate of change can be calculated as:
y2-y1/x2-x1
Now use the above formula to calculated the rate of change.
240 - 120/6-3
120/3
40
Hence, the constant rate of change of the account is $40 or Increasing by $40 per month.
Elena is going to mow lawns for the summer to make some extra money. She will charge $20 for every lawn she mows and plans on mowing several lawns each week.
Let n = the number of lawn she mows.
Write an expression for the total amount she will charge for all of the lawns she mows.
will brainlist
Answer:
Kx20=N
Step-by-step explanation:
k with be the number multiplied by 20 and then N will be the answer
The expression for the total amount she charged can be represented as A = 20n.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
For example 2x = 54
An expression is a mathematical proof of the equality of two mathematical expressions.
Given that,
She will charge $20 for every lawn
Number of lawns she mows = n
Total charge let's represent by A
Then,
A = 20n will be the correct expression.
Hence "The expression for the total amount she charged can be represented as A = 20n".
To learn more about expression,
https://brainly.com/question/14083225
#SPJ2
Determine if the product CA is defined. If the product is defined, state its dimensions. Do not calculate the product.
Answer:
The product can be calculated.
The resulting matrix will have 3 rows and 3 columns.
Step-by-step explanation:
Matrix multiplication
To find the product of two matrices is only possible when the number of columns of the first matrix is equal to the number of rows of the second matrix.
If X is the first matrix with dimensions (n x m) and Y is the second matrix with dimensions (m x p), the product XY is possible and the dimensions of the resulting matrix are (n x p).
Matrix A has two rows and three columns (2x3)
Matric C has three rows and two columns (3x2)
If we wanted to calculate the product CA, the number of columns of C must be equal to the number of rows of A.
Since both numbers are 2, the product can be calculated.
The resulting matrix will have 3 rows and 3 columns.
Pat bounces a basketball 25 times in 30 seconds. At that rate, approximately how many times will Pat bounce the ball in 150 seconds?
2.1-?=1 1/2
Please answer this I don’t want to fail
Solve for v:
5(5v + 4) = 17v + 8v+ 9 + 9
Omg Pleasssee Help Me
Answer:
5(5v+4)=17v+8v+9+9
25v+20=25v+18
25v-25v=18-20
0v=-2
i think soooo
this question is very very irrelevant
Step-by-step explanation:
Which expression is equivalent to this polynomial expression?
(2x^5 + 3y^4)(-4x^2 + 9y^4)
Answer:
A. -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸
Step-by-step explanation:
Given:
(2x⁵ + 3y⁴)(-4x² + 9y⁴)
Required:
Find an equivalent polynomial
Solution:
(2x⁵ + 3y⁴)(-4x² + 9y⁴)
Using distributive property of multiplication
2x⁵(-4x² + 9y⁴) + 3y⁴(-4x² + 9y⁴)
-8x⁷ + 18x⁵y⁴ - 12x²y⁴ + 27y⁸
There are no like terms to add or combine, therefore:
(2x⁵ + 3y⁴)(-4x² + 9y⁴) = -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸
Answer:
-8x^7 + 18x^5y^5 - 12x^2y^4 + 27y^8
Step-by-step explanation:
I took the test