Answer:
QUESTION 1
The image attached shows the graph of the given system of equations. There you would notice that the solution is (-1,-5), which is the interception point.
To verify the solution algebraically, we need to multiply the first equation with -1 and then sum them up
Then, we use this value to find the other one
Therefore, the solution is (-1,-5), which is the same showed graphically.
QUESTION 2.
Using the same process as we did in the QUESTION 1. The image attached shows both lines and the interception point which is the solution. So, the solution is (6,0).
To verify the solution algebraically, we must multiply the second equation by -6
Then, we use this value to find the other one
Therefore, the solution is (6,0), the same showed graphically.
Step-by-step explanation:
If you don't get it
question 1
solution is (-1,-5)
question 2
solution is (6,0),
The solution to the system of linear equations x+6y=6 and y=1/3 x−2 is x = 6 and y = 0.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
The system of linear equations:
x+6y=6
y=1/3 x−2
Part A: Graph is shown in the picture.
Part B: The intersection point is (6, 0)
x = 6
y =0
Part C: By substitution method.
[tex]\rm x+6\left(\dfrac{x}{3}-2\right)=6[/tex]
x = 6
y = 0
Thus, the solution to the system of linear equations x+6y=6 and y=1/3 x−2 is x = 6 and y = 0.
Learn more about the linear equation here:
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please keep it simple
Answer:
A B C D E F G H I J K L M N O P Q R S T U V W X Y ZSolve for x.
32-8
=
-6
Enter your answer in the box
X=
Answer:
X = -2
Step-by-step explanation:
3x - 8/2 = x - 6
3x - 8 = x - 6 × 2
3x - 8 = x - 12
3x - x = -12 + 8
2x = -4
X = -4/2
X = -2
Hopes that it will help u...✌
Please help me , correct answer will get brainiest!
answer is probably just 4
4/1 rise over run
i just want to know how did you get that number
Answer:
what number?
Step-by-step explanation:
FIND THE PROBABILITY OF EACH EVENT. MAKE SURE YOUR PROBABILITY IS IN SIMPLEST FORM (NOT KEYWORDS)
M&M BAG HAS 5 BLUE, 6 GREEN, 10 YELLOW, 2 RED, AND 3 BROWN.
blue________
yellow_________
brown and red_________
not blue or brown________
purple____________
not red____________
skittles_____________
M&M__________
FIRST TWO ANSWERS HAVE A CHANCE OF GETTING BRAINLIEAST
Answer:
(a) The probability that at least 5 of the first 10 sites contain the given keyword is 0.0328.
(b) The probability that the search engine had to visit at least 5 sites in order to find the first occurrence of a keyword is 0.4096.
Step-by-step explanation:
Mark as brainliest if correct
Consider a box weighing one pound. Five statues are in the box. The total weight is 36 pounds. How much does each statue weigh?
Answer:
7 Pounds
Step-by-step explanation:
36 pounds - 1 pound= 35 pounds
The 5 statues weigh 35 pounds.
35 pounds ÷ 5 statues= 7 pounds
Each statue weighs 7 Pounds
Find the slope of the line passing through the points (-6, 1) and (-7,5).
Answer:
y = -4x – 23
Hope this helps :)
9e +4= -5e + 14+ 13e
step by step pls
Answer:
e = 10
Step-by-step explanation:
9e +4= -5e + 14+ 13e
combine like terms on left side of the equation : -5e + 13e = 8e
9e + 4 = 8e + 14
subtract 8e from both sides : 9e - 8e = e and 8e - 8e cancels out
e + 4 = 14
subtract 4 from both sides : 4 - 4 cancels out and 14 - 4 = 10
we're left with e = 10
How do I find a solution in an equation
Answer:
How to find a solution in an equation:
(1) Substitute the number for the variable in your equation,
(2) Simplify the expressions on both sides of your equation and
(3) Determine whether the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.
Step-by-step explanation:
If any questions, please ask them below.
If you have no questions, please have a great rest of your day/night!
help!!!!
Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark (/) as the fraction bar if necessary.
10
10
(7.-2)
10
6
09
(-3,-8)
10
-10
This is equivalent to 0.6 in decimal form
=====================================================
Explanation:
To find the slope, divide the rise over run
rise = change in y = how far to move up or downrun = change in x = how far to move to the rightIn this case, we have:
rise = 6run = 10Therefore,
slope = rise/run = 6/10 = 3/5 = 0.6
The slope of the line that passes through (-3, -8) and (7, -2) will be 3/5.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
From the graph, the points are (-3, -8) and (7, -2). Then the slope of the line is calculated as,
m = (- 8 + 2) / (- 3 - 7)
m = 6 / 10
m = 3/5
The slope of the line that passes through (-3, -8) and (7, -2) will be 3/5.
More about the slope link is given below.
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Graph the solution to this system of linear inequalities, and describe the meaning of the intersection of all 3 inequalities. HELP ASAP PLEASE!!!
Answer:
Step-by-step explanation:
Coordinates ( x, y ) from "red area" satisfy all three inequality.
22/7 x 1.4
Plz explain this step by step
Answer:
22/5 (or) 4.4
Step-by-step explanation:
22/7 × 1.4
=22/7 × 1.4/1 <-- to change the decimal into a fraction multiply it with ×10 so the numerator 1.4 will become 14 and the denominator 1 will be 10
=22/7 × 14/10 <-- now you can cancel out as usual
=22/5 (or) 4.4
Graph the line that passes through the points (-1,7) and (-3,5) and determine
the equation of the line.
Answer:
y = x + 8
Step-by-step explanation:
find slope first:
m = 7-5 / -1-(-3)
m = 2 / 2
m = 1
now find the y-intercept using either ordered pair; plug 'y', 'x', and 'm' into
y = mx + b to solve for 'b'
7 = 1(-1) + b
7 = -1 + b
8 = b
put 'm' and 'b' into slope-intercept equation of a line, y = mx + b to get:
y = x + 8
I need to know the values of m and n.
Answer:
A) 32 and 28
Step-by-step explanation:
A= √4².√2
= √16.√2
= √32
m= 32
B= √2². √7
=√4.√7
=√28
n= 28
the base of a 15 ft ladder is 12 feet from the base of a building. a 25 foot ladder rests against the building at the same angle. how high up the wall does the 25 foot ladder reach
Answer:
The ladder reaches [tex]15ft[/tex]
Step-by-step explanation:
In the first case we have
[tex]cos\theta =\frac{12}{15}[/tex]
In second case let the height be [tex]x[/tex]
We have
[tex]sin\theta =\frac{x}{25}[/tex]
We know that
[tex]cos\theta =\frac{12}{15}\\\\sin\theta =\sqrt{1-\frac{12^{2}}{15^{2}} } \\\\sin\theta =\sqrt{\frac{81}{225} } \\\\sin\theta =\frac{9}{15} }[/tex]
Substituting
[tex]\frac{9}{15} =\frac{x}{25}\\\\x=\frac{25\times9}{15} =15[/tex]
The ladder reaches [tex]15ft[/tex]
Alexis and her siblings buy their mom a bottle of her favorite perfume, Seabreeze, as a birthday gift. The bottle cost $50.84 and contains 4 ounces of perfume how much does the perfume cost per ounce
Answer: 12.71
Step-by-step explanation: 50.84 divided by 4 = 12.71
Pleasee helpp
Write at least 4 key features of the graph shown below.
Answer:
There are a few key features of a graph; though I'm not exactly sure which ones are the '4 key features'
Step-by-step explanation:
There are a few key features of a graph.
- (x and y) intercepts
- Domain
- Range
- Increasing/Decreasing
- Vertex
-Max/min
- is the graph a function?
I'm not exactly sure what the 4 main key features of a graph is; since there are many features of a graph.
But I'm guessing its the
-x and y intercept
-Max/min
-Domain
-Range
The x intercept is (-15,0)
y intercept is (0,-5)
I was never properly taught how to find the domain and range of a graph, and I can't really find much about the domain and range of graphs that have no clear end to either side (continuous line) so I'm sorry, I can't really help you on that.
Answer:
Linear graph
Slope is 1/3
The y intercept is -5
The x intercept is -15
Step-by-step explanation:
The graph is a straight line graph
Slope = ∆y/∆x
= (-5 - 0)/-15-0
= -5/-15
= 1/3
Y-intercept is the value on the y-axis when x is 0
X-intercept is the value on the x-axis when y is 0
12. The area of the flower garden is 9.7 square meters
greater than the herb garden. What is the area of the
flower garden?
Answer:
F = H + 9.7 m^2
Step-by-step explanation:
Let F be the area of the Flower garden and H the area of the Herb garden.
F = H + 9.7 m^2
There is no area or information given on the Herb garden, so this is the best we can say.
Without using your calculator, work out 27 -
Give your answer as a fraction in its lowest terms.
You must show each step of your working.
Answer: So, 27 as a fraction would be 27/1 i guess? lol
Answer:
27/1 it's correct answer
Camden and his children went into a restaurant where they sell hotdogs for $4.50 each and drinks for $1.50 each. Camden has $30 to spend and must buy no less than 8 hotdogs and drinks altogether. If xx represents the number of hotdogs purchased and y represents the number of drinks purchased, write and solve a system of inequalities graphically and determine one possible solution.
-
please help!!!! include all steps please
Answer:
5
Step-by-step explanation:
4.50 + 1.50 = 6
30 / 6 = 5
answer = 5
There are 5 counselors for every 75 students enrolled in a camp. What is
the maximum number of students allowed if there are 12 counselors?
What is 3.6% as decimal’s?
Answer:
.036
Step-by-step explanation:
.036 = 3.6%
converting percent to decimal: remove the percent sign and move the decimal point two places to the left
Answer:
0.036
Step-by-step explanation:
To convert to a decimal, divide the percent number by 100.3.6 ÷ 100=0.036
Therefore, the decimal form is 0.036Select an the correct answers.
Which two tables represent the same function?
Answer:
4th is right
Step-by-step explanation:
fourth is right, x + 8 = y
you have it correct
Is 1/-4 the same as -1/-4
What percent of the respondents preferred dark chocolate or milk chocolate?
Write your answer using a percent sign (%).
Someone help me out on this math question?
Answer:
A. discrete
B. discrete
C. continuous
D. continuous
Step-by-step explanation:
When things are expressed in terms of whole numbers, the value is discrete. This is the case for A and B.
__
When the variable can have any rational or irrational value, it is a continuous variable. This is the case for C and D.
2
Select the correct answer
What is the sum of the first 28 terms of this arithmetic sequence?
69, 75, 81, 87, 93, 99,...
A. 2,436
B. 4,200
C. 4,320
D. 4,368
Answer:
B. 4200
Step-by-step explanation:
A suitable calculator can add the terms for you. (See attached)
__
The first term is 69, and the common difference is 75-69 = 6. The general term is ...
an = a1 +d(n -1)
an = 69 +6(n -1)
Then the 28th term is ...
a28 = 69 +6(27) = 231
The average term is (a28 +a1)/2 = (231 +69)/2 = 150.
The sum is the number of terms multiplied by the average term:
sum = 28×150= 4200
Twice the difference of a number and 2 is at least 16 use the variable y for the unknown number
Answer:
2(y-2) is greater then or equal to 16
Step-by-step explanation:
share 120 between 8 boys
Answer:
15
Explanation:
120 divided by 8 is 15
Answer:
120 ÷ 8 = 15
Simple math. :D
Step-by-step explanation:
Pls give brainliest.
Good Day everyone! Kindly give me the formula for finding the original price, discount rate, discount and sale price.
Original price, discount rate, discount and sale price are given but one of them is missing.
Like original price = missing, discount rate = missing, and so on.
Explanation:
The relevant relationships are ...
discount = (discount rate) × (original price)
(sale price) = (original price) - discount
__
Putting these into one equation gives ...
(sale price) = (original price) - (discount rate)×(original price)
Combining terms, yields ...
(sale price) = (original price)×(1 -(discount rate))
This relation can be solved for either of the variables on the right:
(original price) = (sale price)/(1 -(discount rate))
(discount rate) = 1 -(sale price)/(original price)
or ...
(discount rate) = discount/(original price)
Going back to the beginning, you have ...
discount = (original price) -(sale price)
__
To solve for the missing amount, you can choose the formula for which you have the other amounts. Or, you can start with any of the relations that relate the amounts you have, fill in the given values, and solve for the unknown.
It's not rocket science. You see these calculations almost every time you go to the store.
_____
Additional comments
Here, we have assumed a positive value for discount rate and discount, and that the sale price is less than the original price. This is basically the set of relations that are seen by a retail buyer.
If you are the seller, the relations you typically see are ...
(cost price) + (markup) = (selling price)
The markup can be expressed as a percentage of either the cost price or the selling price, or it may be based on some other relation (fixed business costs, for example).
And another one is ...
(markup)/(cost price) = (profit ratio) . . . . often expressed as a percentage
Sometimes the profit is expressed as a fraction of the selling price (business revenue) instead of the cost price.
__
Taxes are added on in the same way that discounts are subtracted:
(final selling price) = (selling price) + (tax rate)×(selling price)
or
(final selling price) = (selling price)×(1 +(tax rate))