Answer:solution
Step-by-step explanation:
An ordered pair that satisfies all the equations in a linear system of equations is called a: solution of the linear system.
A linear function is a function that has a positive relationship between its variables.
Hence, an increase in one variable (input variable) causes an increase in the other variable (output variable) because the variables are directly proportional.
Mathematically, the graph of a linear function is a straight-line and its slope is always constant.
On a related note, a linear system of equation is an algebraic equation of the first order with two variables and each of its term having an exponent of one.
Generally, a system of linear equations in two variables must have at least two solution.
In conclusion, a solution of the linear system is an ordered pair that satisfies all the equations in a linear system of equations.
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It is very important that you
and avoid errors to happen.
Review
Instruction:
Factor each of the following quadratic expression.
1. x² + x
2. 5x2 - 25x
3. x2 - 16
4. x² + 4x + 4
5. x2 - 5x + 6
Step-by-step explanation:
Given expressions:
1. x² + x
2. 5x² - 25x
3. x² - 16
4. x² + 4x + 4
5. x² - 5x + 6
Problem: Factor each of the quadratic expression
Solution:
A quadratic expression is an expression whose highest power is two.
1. x² + x
For this expression:
x² + x
Factorizing x since it is a common term;
x(x + 1)
2. 5x² - 25x
For this expression;
Factorize 5x since it common to both of them;
5x(x - 5)
3. x² - 16
For this expression;
Apply the differences of two squares;
x² - 16
x² - 4²;
Note; x² - y² = (x-y)(x+y)
So, x² - 4² = (x-4)(x + 4)
4. x² + 4x + 4
To solve this,
Find two numbers whose product will be 4 and sum also 4;
x² + 4x + 4 = x² + 2x + 2x + 4
= x(x + 2) + 2(x + 2)
= (x + 2)(x + 2)
5. x² - 5x + 6
To factorize this expression, simply find two numbers whose sum is -5 and product is 6;
x² - 5x + 6 = x² - 3x - 2x + 6
= x (x - 3) -2(x - 3)
= (x -2)(x-3)
1.Find the product of 419 and 321.
Answer:
134499
Step-by-step explanation:
When someone asks for the product of something they are saying multiply the two values.
So,
419 x 321 = 134,499
Answer:
$134,499
Step-by-step explanation:
The product is the result of two numbers that are multiplied. In this case 419 and 321.
419 x 321 = 134,499
5. Mrs. Correa bought a box of 72 pencils and kept 30 of them for herself. She gave the rest to her 6 children so that each had the same number of pencils. Which expression could be used to find the number of pencils each child received? *
Answer:
(72-30)/6 = 7 is the equation
72-30=42
42/6=7
Step-by-step explanation:
Good luck! <3
Answer:
(72-30) divided by 6
Step-by-step explanation:
You subtract 30 from 72 because Ms.Correa is going to keep them. Then you divide that by 6 of her children to get your answer. 72-30=42, 42/6 = 7
The Farmers Market sells apples by the bushel, and each bushel of apples weighs 42 lbs. A bushel of large apples contains 84 apples. If a bushel of small apples contains twice as many apples as a bushel of large apples, how many small apples are in 1 lb of apples?
Answer:
There are 4 small apples in 1 lb of apples.
Step-by-step explanation:
From the information given, you know that a bushel of small apples contains twice as many apples as a bushel of large apples. So, in order to know the amount of apples in a bushel of small apples you have to multiply the number of apples in a bushel of large apples by two:
84*2=168
Now, you can use a rule of three to find the number of small apples in 1 lb of apples given that you know that each bushel of apples that has 168 small apples weighs 42 lbs:
168 apples → 42 lbs
x ← 1 lb
x=(168*1)/42= 4
According to this, the answer is that there are 4 small apples in 1 lb of apples.
Answer:
4 small apples in 1lb of apples I think
Step-by-step explanation:
10
-25 please answer
Answer:
(-15)
Step-by-step explanation:
10-25 = (-15)
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5.7% interest on $375 18 month loan
Which expressions are equivalent to the given expression? sqrt40
4sqrt10
160 1/2
40 1/2
2sqrt10
5sqrt8
Answer:
[tex]2 \: sqrt \: 10.[/tex]
Step-by-step explanation:
[tex]sqrt \: 40 = \sqrt{40} = \sqrt{4 \times 10} = \\ \sqrt{4} \times \sqrt{10} = 2 \times \sqrt{10} = \\ 2 \sqrt{10} = \\2 \: sqrt \: 10[/tex]
♨Rage♨
[tex]2\sqrt{10}[/tex] expression is equivalent to the given expression [tex]\sqrt{40}[/tex].
What is expression?An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.
Given expression
[tex]\sqrt{40}[/tex]
We can write it into [tex]\sqrt{4 .(10)}[/tex]
= [tex]\sqrt{4}.\sqrt{10}[/tex]
= [tex]2\sqrt{10}[/tex]
Hence, [tex]2\sqrt{10}[/tex] expression is equivalent to the given expression [tex]\sqrt{40}[/tex].
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what is 1,557 divided by 34
Answer:
45.7941176471
Step-by-step explanation:
One company sells a 4 gallon jug of lemonade sells for $24 dollars another sells 8 pack of 1 quart bottles for $16, which one is cheaper?
Answer:
the 4 gallon jug of 24$ is cheaper
Answer:
The company that sells 4 gallon jug of lemonade for $24 is cheaper
Step-by-step explanation:
The second company sells 8 packs of 1 quart bottles for $16 which basically means 8 quarts for $16.
There are 4 quarts in a gallon so if there are 8 quarts, it would equal 2 gallons.
Now we know that the second company sells 2 gallons of lemonade for $16. So to find how much they will sell for 4 gallons, we just need to multiply by 2 for gallons and the price.
The second company sells 4 gallons of lemonade for $32.
This means that the first company is cheaper.
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Compute the mean, median, and mode for the following three sets of scores saved.
Score 1 Score 2 Score 3
3 34 154
7 54 167
5 17 132
4 26 145
5 34 154
6 25 145
7 14 113
8 24 156
6 25 154
5 23 123
Answer/Step-by-step explanation:
Score 1:
3, 7, 5, 4, 5, 6, 7, 8, 6, 5
Mean = [tex] \frac{3 + 7 + 5 + 4 + 5 + 6 + 7 + 8 + 6 + 5}{10} = \frac{56}{10} = 5.6 [/tex]
Median: order the data from least to the greatest.
3, 4, 5, 5, 5, 6, 6, 7, 7, 8
The median is average of the fifth and sixth data value in the data set
Median = (5 + 6)/2 = 11/2 = 5.5
Mode = value with the highest frequency = 5
Score 2:
34, 54, 17, 26, 34, 25, 14, 24, 25, 23
Mean = sum of all values/10
Mean = 276/10 = 27.6
Median: order the data set from min to max.
14, 17, 23, 24, 25, 25, 26, 34, 34, 54
The median is average of the fifth and sixth data value in the data set
Median = (25 + 25)/2 = 50/2 = 25
Mode = 25 and 34 (both have frequencies of 2)
Score 3:
154, 167, 132, 145, 154, 145, 113, 156, 154, 123
Mean = sum of all values/10
Mean = 1443/10 = 144.3
Median: order the data set from min to max.
113, 123, 132, 145, 145, 154, 154, 154, 156, 167
The median is average of the fifth and sixth data value in the data set
Median = (145 + 154)/2 = 299/2 = 149.5
Mode = 154
Ms. Watts is a famous motivational speaker. She travels across the country by jet and gives an average of ten presentations a week
She gives her speeches in auditoriums that are always full and hold an average of 1000 people each. She charges $40 per person
at each of these speeches. Her average expenses for each presentation, including renting the auditorium, are about $15,000. The
cost of meals, motels, jet travel, and support personnel total $75,000 per week. How many weeks will Ms Watts need to travel if she
wants to earn $1,400,000 per year?
Answer:
5 weeks
Step-by-step explanation:
We are told that the auditorium holds an average of 1000 people each.
And that she charges $40 each.
Thus;
Total income for each speech is;
1000 × 40 = $40000
Since she gives an average of 10 presentations each week.
Total income per week = 10 × 40000 = $400,000
Now,the expenses she makes for each speech weekly is;
Renting auditorium = $15000
Motel, jet expenses, support personnel = $75000
Thus,
Total expenses per week = 15000 + 75000 = $90000
Now, total profit per week is;
P_weekly = Total income per week - Total expenses per week
P_weekly = $400000 - $90000
P_weekly = $310000
There are 52 weeks in a year, thus, profit in a year is;
P_yearly = 52 × 310000 = $16120000
Now, we want to find out how long it took her to make $1,400,000 a year.
We know that;
$16120000 was achieved in 52 weeks
Thus;$1,400,000 will be achieved in;
(1400000 × 52)/16120000 = 4.52 weeks approximately 5 weeks.
GIVING OUT BRAINLLEST:What is the slope of the line that goes through the points (1,-2) and (3,6)?
Question 1 options:
-4
4
1
2
answer is 4
brainliest plz :)
Solve 4(2x-1)-3=9(x4)
Answer:
x=-1/4
Step-by-step explanation:
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
x=29
What is the slope of the line?
*************
Answer:1.5
Step-by-step explanation:
Answer: 4/5
Step-by-step explanation:
Slope=rise/run
In this case we start at (-2,0)
We rise up 4 and run to the right 5 until we are at (3,4)
Jared bought a cell phone for $42, Juanita spent 1 1/2 times as much how much did she spend
answer:
Juanita spent 1 1/2 times as much as Jared, how much did she spend?
$63
explanation:
one and a half of 42 is: 63
so,
the answer is Juanita spent $63!
Juanita paid $63 for the phone, which is equal to 3/2 of what Jared paid while buying the phone.
What is the definition of a mixed fraction?A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.How are mixed fractions written?Follow these procedures to convert an incorrect fraction to a mixed number:
Subtract the denominator from the numerator. The quotient's whole number component should be written down. Write the leftover amount on top of the original denominator.Given: Jared spent $42 on a cell phone.
We need to determine 1 and 1/2 which is 3/2 of total amount spent by Juanita.
So,
42(3/2) = $63
Therefore, Juanita spent $63 which is 3/2 amount spent by Jared in buying the cell phone.
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point slope equation slope=8 point on line is (5,6)
Answer:
c
Step-by-step explanation:
Answer:
y=8x-34
Step-by-step explanation:
3x-(-54x)=45= whats the sum
Answer:
x= 15/19 = 0.789
Step-by-step explanation:
Answer: 0.789 is the correct answer plz brainliest big brother
Which of the following in NOT an equation of a line parallel to the line with equation y=1/2x-6 *
y = 2/4x + 6
y = 0.5x - 3
y = 1/2x + 1
y = 2x - 4
Answer:
y=2x-4
Step-by-step explanation:
Parallel lines have the same gradient.
The gradient of this line is 1/2.
All the equation the have a gradient of 1/2 accept for the last one.
A researcher is conducting research on using technology in teaching. The researcher has two groups. The first group receives instruction via a PowerPoint presentation that is online. The second group attends a class and receives instruction from a teacher face to face. The researcher classifies the students based on when they volunteer for the study. The first 50 students who volunteer receive online instruction. The next 50 receive instruction by attending a class with a teacher. With respect to this study, we could identify that:
Answer:
This study is good because we have minimized sampling error.
Step-by-step explanation:
We are given that . The researcher has two groups.
The researcher classifies the students based on when they volunteer for the study.
The first 50 students who volunteer receive online instruction. The next 50 receive instruction by attending a class with a teacher.
A. This study is poor because the researcher did not use random sampling.
B. This study is poor because the researcher did used random sampling.
C. This study is good because we have minimized sampling error.
D. This study is good due to the equal sample size in each group.
Option C is true : This study is good because we have minimized sampling error.
Let f(x)=8^x
Which function represents a transformation of f(x) by a vertical stretch with factor 2?
A. g(x) = 8^2x
B. g(x) = 1/2 • 8^x
C. g(x) = 2 • 8^x
D. g(x) = 8^1/2x
I need 9 and 10 plzzzz
Find the value of the variable(s) in each figure. Explain your reasoning.
9.
10.
다
x - 10)
(2x - 15)
1042
(x + 55)
Answer:
9.
x-10 = 104
x = 104 + 10 = 114
10.
2x-15 = x + 55
2x - x = 55 +15
x = 70
can you guys help me??
Answer:
37 used beeds
Step-by-step explanation:
May i get brainiest
What is the slope of the line shown below? (-4, 3) and (3, 1)
Answer:
did u attach a pic of the graph or smth?
Answer:
Step-by-step explanation:
slope of line passing through (-4,3) (3,1)
= (3-1)/(-4-3)
= -2/7
An Uber driver charges $5.00 for each trip plus $2.75 per mile. Which equation best fits the total charges?
Answer:
y=2.75x+5.00
Step-by-step explanation:
x=miles y=cost
What kind of number is 438.2 rational or irrational ?
ratinal
Step-by-step explanation:
Answer:
Rational
Step-by-step explanation:
A rational number is any number that can be turned into a fraction. Any decimal number can be turned into a fraction, therefore, this is a rational number.
I'm doing sine, cosine, and tangent and I don't know what an opposite is in the triangle so if anyone can explain it in the most simple terms possible, that'd be great
Step-by-step explanation:
okay so basically when you have a triangle, the side that is directly across from the angle you are looking for is the "opposite". here is an attachment.
A stack of books is 62 inches high. How high is it in feet and inches?
Answer:
5 feet and .16667 inches
Step-by-step explanation:
if you where to simplify the inches it would be 2 inches because the 6 next to the 1 is greater then five making the 1 a 2
Thrice a number increased by 5 exceeds twice the number by 11 . Find the number.
Which figure shows the net of a rectangular pyramid?
Answer:
d
Step-by-step explanation:
. The net of a pentagonal pyramid consists of one pentagon and five triangles. The pentagon is the base of the pyramid, and the triangles are the lateral faces.
Answer:
D
Step-by-step explanation:
The net of a pentagonal pyramid consists of one pentagon and five triangles. The pentagon is the base of the pyramid, and the triangles are the lateral faces.
you just purchased new tennis shoes for basketball for $99 the cost for washing will be $2.00. you will wear them 110 times between basketball practice and games. what is the cost per wearing?
Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco vale