Andrew's charges is an illustration of a linear function
The equation that represents the situation is [tex]\mathbf{y = 12x +45}[/tex]
From the table (see attachment), we have the following points
(x,y) = (1,57) and (2,69)
Start by calculating the slope (m)
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 -x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{69 - 57}{2 -1}}\\[/tex]
Simplify fraction
[tex]\mathbf{m = \frac{12}{1}}[/tex]
Divide
[tex]\mathbf{m = 12}[/tex]
The equation is then calculated using:
[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]
So, we have:
[tex]\mathbf{y = 12(x - 1) + 57}[/tex]
Open brackets
[tex]\mathbf{y = 12x - 12 + 57}[/tex]
Evaluate like terms
[tex]\mathbf{y = 12x +45}[/tex]
Hence, the equation that represents the situation is [tex]\mathbf{y = 12x +45}[/tex]
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Which of the following can be the sides of a right angled triangle?
(i) 1.5 cm, 2 cm, 3 cm (ii) 6 cm, 1.1 cm, 6.1 cm
Answer:
(ii) 6 cm, 1.1 cm, 6.1 cm
Step-by-step explanation:
Knowing that all right triangles obey the Pythagorean Theorem, we can test both sets of numbers. The longest of the 3, the hypotenuse, is substituted to the c value of the equation a^2 + b^2 = c^2. If the equation is still true after substituting and simplifying both sides, that combination of triangle lengths is the correct answer. In this case, 6^2 + 1.1^2 and 6.1^2 are both equal to 37.21, so the second set is correct.
What is the amount of discount?
(100 pts)
[tex]\\ \sf\longmapsto Discount=\dfrac{12.5(30}{100}[/tex]
[tex]\\ \sf\longmapsto Discount=12.5(0.3)[/tex]
[tex]\\ \sf\longmapsto Discount=125(3)/100[/tex]
[tex]\\ \sf\longmapsto Discount=375/100[/tex]
[tex]\\ \sf\longmapsto Discount=3.75[/tex]
Answer:
discount = $3.75
Step-by-step explanation:
Given:
[tex]\sf \dfrac{discount \times 100}{100}=\dfrac{\$12.50 \times 30}{100}[/tex]
Multiply both sides by 100 to eliminate the denominators:
[tex]\implies \sf discount \times 100=\$12.50 \times 30[/tex]
Divide both sides by 10:
[tex]\implies \sf discount \times 10=\$12.50 \times 3[/tex]
Carry out the multiplication on the right side:
[tex]\implies \sf discount \times 10=\$37.50[/tex]
Divide both sides by 10:
[tex]\implies \sf \dfrac{discount \times 10}{10}=\dfrac{\$37.50}{10}[/tex]
[tex]\implies \sf discount=\$3.75[/tex]
How do you factor an expression to the 4 exponent.
Answer:
We can factor a difference of fourth powers (and higher powers) by treating each term as the square of another base, using the power to a power rule. For example, to factor x4 - y4, we treat x4 as (x2)2 and y4 as (y2)2. Thus, x4 - y4 = (x2)2 - (y2)2 = (x2 + y2)(x2 - y2) = (x2 + y2)(x + y)(x - y).
Answer: How do you factor variables with exponents? To do this, take the greatest common factor of the numbers and the smallest exponent of each variable. 2. Divide the original expression by the greatest common factor. To do this, divide the coefficients, and subtract the exponents of the variables.
Explanation: Expressions with fractional or negative exponents can be factored by pulling out a GCF. Look for the variable or exponent that is common to each term of the expression and pull out that variable or exponent raised to the lowest power. These expressions follow the same factoring rules as those with integer exponents.
32is 0.2% of what number? Use pencil and paper. Would you expect the answer to be a lot less than 32, slightly less than , slightly greater than 32, or a lot greater than 32 ? Explain
Answer:
A lot greater
Step-by-step explanation:
32 is 0.2% of the number, that is a small amount compared to what the whole is
Which Game Is The Best And Why?
A.) Uncharted 4 a Thief's End
B.) Call Of Duty Modern Warefare
C.) Batman Arkham Knight
D.) Marvel's Spider-Man
Answer:
Hmm, id say call of duty, because first of all, my brother would not be happy if i chose something else, lol, also that one is pretty fun
Step-by-step explanation:
A restaurant keeps eggs in a rack that has 5 layers each layer has 5 row with 5 eggs in each row
tell me what u think of this edit. be honest
https://www.canva.com/design/DAEvhu4Z4k8/aBnd2_pTqvSH-NiEyhcVIQ/watch?utm_content=DAEvhu4Z4k8&utm_campaign=designshare&utm_medium=link&utm_source=publishsharelink
its alright, not the best but its good.
Answer:
very nice!
Step-by-step explanation:
describe a set of data that has neither a positive nor a negative association , but does have a valid trend line
Answer:
Step-by-step explanation:
The points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables.
Given that, a set of data that has neither a positive nor a negative association, but does have a valid trend line.
What is scatter plot?Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
If the points on the scatter plot seem to form a line that slants down from left to right, there is a negative relationship or negative correlation between the variables. If the points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables.
Therefore, the points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables.
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please help with this
Answer:
Step-by-step explanation:
The perimeter of a circle is 2πr
r here is 7 so the perimeter of the full circle is 14π which is 43.9822972
But you only have half a circle, so 43.9822972 / 2 = 21.991148.
But now you have to add the 14 cm to it to close the half circle, so 21.991148 + 14 = 35.991148 or 36 cm
g
Pat a
mber
4. In a hockey league, 87 players play on seven
different teams. Each team has at least 12
players. What is the maximum number of players
on any one team?
Answer:
15
Step-by-step explanation:
since there is 7 teams and 12 can be the minimum we can do 7 x 12=84
this means that 3 people could possibly be on one single team.
the maximum number is 12+3=15
Yuri surveyed a random sample of 75 students in his school about their favorite color. Of the students surveyed, 49 chose lavender as their favorite color. If there are 908 students at the school, what is a valid estimate of the number of students whose favorite color is lavender?
600 students
300 students
450 students
800 students
which one?
Answer:
600
Step-by-step explanation:
Take the number that answered lavender and divide by total # of students surveyed
49/75 = .653333 or 65.3%
then take the total # of students and multiply by .6533333
908x .6533333 = 593.22
so the closest estimate is 600
-- Gage Millar, Algebra 1/2 tutor
someone please help me
Answer:
(a) A is steeper; 4/5 > 2/5
Step-by-step explanation:
The slope of A is the coefficient of x, so is 4/5. This eliminates choices B and D.
The line in the graph has a rise of 2 units for each run of 5 units, so has a slope of ...
slope = rise/run = 2/5
This eliminates choice C.
The correct description of the relationship is the first one:
Equation A has a steeper slope, because 4/5 is greater than 2/5.
solve the system {2x+y=8 using substitution method.
{x-y=6 using elimination method
please answer my question
Answer:
y = -4/3
x = 14/3
Step-by-step explanation:
2x+y=8
x-y=6
First of all, we need the same coefficient, so we can make both of these 2x by multiplying the second one by 2.
2x+y=8
2x-2y=12
Then we need to subtract equation 1 from 2.
3y=-4
Solve normally
y = -1.33333 / -4/3
Substitute
x - (-4/3) = 6
x = 14/3
[tex]\large\huge\green{\sf{Answer:-}}[/tex]
[tex] \red {\mathbb{ \underline { \tt by \: elimination \: method \: s}}}[/tex]
2x+y=8________(i)x-y=6_________(ii)from equation (i):-
[tex]2x - y = 8 \\ x = \frac{8 - y}{2} [/tex]
put value of x in eq (ii)[tex]x - y = 6 \\ \frac{8 - y}{2} - y = 6 \\ \frac{8 - y - 2y}{2} = 6 \\ 8 - y - 2y = 12 \\ 8 - 3y = 12 \\ - 3y = 12 - 8 \\ - 3y = 4 \\ y = \frac{ - 4}{3} [/tex]
put value of y in eq (i)[tex]2x + y = 8 \\ 2x + ( \frac{ - 4}{3} ) = 8 \\ 2x - \frac { 4}{3} = 8 \\ \frac{6x - 4}{3} = 8 \\ 6x - 4 = 8 \times 3 \\ 6x - 4 = 24 \\ 6x = 24 + 4 \\ 6x = 28 \\ x = \frac{14}{3} [/tex]
now,
By elimination method:-[tex]2x + y = 8 \\ x - y = 6 \\ - - - - - - - \\ multiply \: eq \: (i) \: by \: 1 \\ and \: eq(ii) \: by \: 2 \\ \\ (2x + y = 8) \times 1\\ (x - y = 6) \times 2 \\ - - - - - - - \\2x + y = 8 \\ 2x - 2y = 12 \\ subtract \: these \\ 3y = - 4 \\ y = \frac{ - 4}{3} \\ [/tex]
put value of y in equation (i)
[tex]2x + y = 8 \\ 2x + ( \frac{ - 4}{3} ) = 8 \\ 2x - \frac { 4}{3} = 8 \\ \frac{6x - 4}{3} = 8 \\ 6x - 4 = 8 \times 3 \\ 6x - 4 = 24 \\ 6x = 24 + 4 \\ 6x = 28 \\ x = \frac{14}{3} [/tex]
How would 1.047 be written as a percentage form?
Answer:
104.7%
Step-by-step explanation:
When changing a decimal to a percentage, simply move the decimal point to the right two place values to obtain your percentage:
1.047 = 104.7%
And vice versa, when changing a percentage to a decimal, move the decimal point to the left two place values to obtain your decimal.
~
The range of F(x) = logo x is the set of all real numbers.
A. True
O B. False
Answer:
The range of F(x) = logo x is the set of all real numbers is True.
Step-by-step explanation:
Yes, Because range of the logarithmic function is the set of ''all real numbers.'
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
The function is,
⇒ f (x) = log x
Now,
The given function is a logarithmic function.
And, The range of the logarithmic function is the set of all real numbers.
Hence, The range of function F(x) = log x is the set of all real numbers.
Thus, The range of F(x) = log x is the set of ''all real numbers''.
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Type your number answer in decimal form. Do not round.
0.6 kilograms = _______ grams.
0.6 KL = 600 grams
you can always use the ladder method
One centimeter is equal to 10^-2 meters. What decimal number
is equivalent to 10^-2
Answer: shoulb be to the thirs 4/8
Step-by-step explanation:
If angle 1 is 110° what would the other angle measures have to be in order for m || n and q || p
Answer:
Angle 1 = 110
Angle 2 = 110
Angle 3 = 70
Angle 4 = 70
Step-by-step explanation:
Angles 1 and 2 are corresponding angles, and therefore congruent
Angles 2 and 3 are same-side interior angles, and therefore supplementary
Angles 3 and 4 are alternate interior angles, and therefore congruent.
Answer:
Angle 2: 110
Angle 3: 70
Angle 4: 70
Given f(x)=5x-3, find f(-3)
Answer:
[tex]f(-3)=-18[/tex]
Step-by-step explanation:
Since
[tex]f(x)=5x-3[/tex], we can plug in our values
[tex]f(-3)=-15-3[/tex]
Combine like terms
[tex]f(-3)=-18[/tex]
W to the 3rd power over W to the -2 power
Answer:
[tex]w^{5}[/tex], w to the power of 5
Step-by-step explanation:
[tex]\frac{w^3}{w^-2}[/tex]
When dividing indices with the same base number, you can subtract the powers: 3 - (-2) = 5. Therefore the answer is [tex]w^{5}[/tex]
Hope this helps!
Corinne made apple jam and strawberry jam. She made enough apple jam to
fill 1 jars. If she made 3 times as much strawberry jam as apple jam, how
many jars will the strawberry jam fill?
Answer:
3
Step-by-step explanation:
1 ×3 =3
apple jam times strawberry
The width of a rectangle measures (10p + 6) centimeters, and its length
measures (2p – 10) centimeters. Which expression represents the
perimeter, in centimeters, of the rectangle?
-
Answer:
24p-8
Step-by-step explanation:
Perimeter just means add up all the sides
(10p+6)+(2p-10)+(10p+6)+(2p-10)
= 24p-8
On August 19, 2002, the ratio of stocks gaining value on the New York Stock
Exchange to stocks losing value was about 43 to 20. If 869 stocks lost value, how
many gained?
A)892
B)1953
C)1797
D)1868
Answer:
D: 1868
Step-by-step explanation:
43:20 ratio
43/20 = 2.15
869 * 2.15 = 1,868.35
round down to nearest whole number
1,868
2/3 subtracted from 1/2
Answer:
-1/6
Step-by-step explanation:
[tex]\frac{1}{2}- \frac{2}{3} = \frac{3}{6} - \frac{4}{6} = -\frac{1}{6}[/tex]
The mean age of 5 people in a room is 39 years. A person enters the room. The mean age is now 36. What is the age of the person who entered the room?
Answer:
21
Step-by-step explanation:
Mean is the average of the objects
With five people, the mean is the average age of these people so what did you divide 5 into to get 39.
5 × 39 = 195
After a person enter the room, total 6 in the room with a mean of 36.
6 × 36 = 216
Now the age of the person who entered the room 216 - 195 = 21
joe mammamamamamamaamamamma
Answer:
this joke is getting old lol
Step-by-step explanation:
Fave food. THIS IS FOR A GRAPH, PLEASE JUST COMMENT.
Ben purchased lunch today at the school cafeteria for $2.75. Before today, Ben owed $9.15 on his lunch account. How much money is in his lunch account after today?
Answer:
$6.40
Step-by-step explanation:
9.15-2.75=6.40
what is the vertical asymptote for this function?
y=1/x-2
Answer: x = 0
Step-by-step explanation: so x = 0 is the equation of the vertical asymptote, and 0 must be left out of the domain: (−∞,0)U(0,∞) in interval notation.
Answer:
2
Step-by-step explanation:
A dance troupe has a total of 50 dancers split into 2 groups. The costumes worn by Group A cost $80 each, and those worn by Group B cost $90 each. If the total cost of all the costumes is $4,270, what is the total cost of the costumes worn by Group B
Answer:
2,270
Step-by-step explanation:
HOPE IT HELPED >:D
Answer:
2270 dollars
Step-by-step explanation:
You know each group has 25 dancers and then you multiply 80 by 25 to get the cost of group a. Then you just subtract 2000 from your total to get your answer.