We want to compare the graphs of the two given linear equations, we will find that they have the same y-intercept but opposite slopes.
Linear equations:
A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
Here the two equations are:
y = 2*x + 1y = -2*x + 1So you can easily see that the two equations have the same y-intercept but opposite slopes.
So both of them pass through the point (0, 1) and both are lines, these are the similarities.
And the difference is that the slopes are just different.
If you want to learn more about linear equations you can read:
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HELP ME PLZZ I NEED HELP WITH THIS!!
Answer:
Divide both sides by 2.
I answered this earlier
Why would anyone delete my answer which was correct.
how do you rewrite a expression using the base number only once?
ex. 5^(-2)*5^(-4)*5^(8)
Answer:
5
Step-by-step explanation:
Answer:
Rewrite the expression= 5^2
Step-by-step explanation:
With the same base number of 5, one adds the exponents.
In this case 5^-2*5^-4*5^8 8-6=2 as the exponent
on Saturday, Jasmine used her cell phone for 36 minutes. on Sunday she used her cell phone for 18 minutes more than on Saturday. find the ratios of the number of minutes jasmine used her phone for on Saturday to the total number of minutes she used i for on Saturday and Sunday. express your answer in simplest form
If 3 tan A =cot A and A is an acute angle find angle A
Please, I need detailed explaination
Answer:
A is 30 degrees.
Step-by-step explanation:
cot A = 1/ tan A
Therefore 3 tan A = 1 / tan A
3 tan^2 A = 1
tan^2 A = 1/3
tan A = 1 /√3 is A is acute.
A = 30 degrees.
This is about trigonometric identities.
A = 30°
In trigonometric identities, we know that;Tan A = sin A/cos A
Cosec A = 1/sin A
Sec A = 1/cos A
Cot A = 1/tan A
Now, we are given;3 tan A = cot A
But we know from above that Cot A = 1/tan A
Thus;
3 tan A = 1/tan A
Rearranging to get;
(tan A)² = 1/3
tan A = √(1/3)
tan A = 1/√3
Now, from surd form of special angles, we know that;sin 30° = cos 60° = 1/2
sin 60° = cos 60° = (√3)/2
sin 45° = cos 45° = 1/√2
tan 30° = 1/√3
tan 60° = √3
tan 45° = 1
Comparing tan A = 1/√3 with the surd forms listed above, we can see that;A = 30°
A is said to be an acute angle which means it is less than 90° and so it is correct.
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a scientist mixes water (containing no salt) with a solution that contains 30% salt. she wants to obtain 210 ounces of a mixture that is 5% salt. how many ounces of water and how many ounces of the 30% salt solution should she use?
Answer:
er n4356463
Step-by-step explanation:
For one Chemistry test, Joan had to answer 40 questions. Of these 40 questions, Joan answered 22 of them correctly. What percent did Joan get on her Chemistry test? Round your answer to the nearest whole number if necessary. *
Answer:
55%
Step-by-step explanation:
The total number of questions gotten correctly = 22
The total number of questions to be answered = 40
The percent of questions Joan got correctly is calculated as:
(The total number of questions gotten correctly/The total number of questions to be answered) × 100
22/40 × 100
= 55%
what conclusions can you draw about the roots of the equation x^3+x^2-2x+12=0
Answer:
x=-3
Step-by-step explanation:
If x=-3, then
x³+x²-2x+12=-27+9+6+12=-27+27=0
If this is true, then x+3 is a factor. So:
x³+x²-2x+12/x+3=x²-2x+4
So the factors of x³+x²-2x+12 are:
(x+3)(x²-2x+4)
((x²-2x+4) has no real roots)........
6. Steve is packing sacks for treats at a party. Every sack is exactly the same. Steve has 42 candy bars and 126 lollipops. a. What is the greatest number of treat sacks Steve can make? b. How many of each kind of treat is in one sack?
Answer:
Greatest sack = 42
1 candy bar and 3 lollipops
Step-by-step explanation:
Represent Candy bars with C and Lollipops with L
[tex]C = 42[/tex]
[tex]L= 126[/tex]
Solving (a): Greatest number of treat sacks
To solve this, we simply calculate the GCF of C and L
[tex]42 = 2^1 * 3^1 * 7^1[/tex]
[tex]126 = 2^1 * 3^2 * 7^1[/tex]
Hence, the GCF is
[tex]GCF = 2^1 * 3^1 * 7^1[/tex]
[tex]GCF = 42[/tex]
Hence, greatest number of sack is 42
Solving (b): Number of treat in each sack.
To do this, we simply divide the number of C and L by the calculated GCF
For C:
[tex]Treats = \frac{C}{GCF}[/tex]
[tex]Treats = \frac{42}{42}[/tex]
[tex]Treats = 1[/tex]
For L:
[tex]Treats = \frac{L}{GCF}[/tex]
[tex]Treats = \frac{126}{42}[/tex]
[tex]Treats = 3[/tex]
Hence, 1 candy bar and 3 lollipops
A water tank already contains 55 gallons of water when John begins to fillet water flows into the tank at a rate of 8 gallons per minute write a linear equation to model the situation find the volume of the water tank in 25 minutes after John begins filling the tank.
Answer:
y= 8x + 55
After 25 minutes the tank will have 255 gallons
Step-by-step explanation:
Kwamee created a coffee blend for his cafe by mixing Kona beans and Fuji beans. Kona beans cost $11 per pound and Fuji beans cost $7.50 per pound. He mixed a total of 23 pounds of coffee beans and spent a total of $197.
Write a system of equations that can be used to determine how many pounds of Kona and Fuji beans Kwamee bought.
Solve the system of equations to determine how many pounds of Kona and Fuji beans Kwamee bought.
*Show both the equations and the solution.
You know the length and the width of a scale model. What additional information do you need to know to find the scale of the model? The options are... A. The width or height of the actual item B. The length or width of the actual item C. The height or width of the actual item D. The depth or height of the actual item and how would I explain my reasoning depending on the answer?
Answer:
B; The length or width of the actual item
Step-by-step explanation:
In cases like this, to find the scale factor, we will need to make a comparison between the length or width of the scale model and the length or width of the actual item
By having a further information about the length or width of the actual item, then we can actually make a comparison by dividing the length or width of both cases by each other
This means that we compare the length of the scale model and the length of the actual item
Then the width of the scale model and the width of the actual item
HELP!Please answer these for me?:)))
Answer:
You didn’t explain what we had to do....
Step-by-step explanation:
I’m not really sure...I’m sorry
can you tell me eve answer for one!!!!!!! you get 30 points
Answer:
450 litres
Step-by-step explanation:
we know we get 3000 pounds per litres
we also know it takes 20 pounds for 1 litres. hence 3/20 litres per pound
olive oil in one year= 3000*3/20
450 litres
hope it helps
p(x)=(1)/(x+1) and q(x)=(1)/(x-1) perform the operation that results in another rational expression p(x)/q(x)
9514 1404 393
Answer:
p(x)/q(x) = (x -1)/(x +1)
Step-by-step explanation:
[tex]p(x)\div q(x)=\dfrac{1}{x+1}\div\dfrac{1}{x-1}=\dfrac{1}{x+1}\times\dfrac{x-1}{1}\\\\ \boxed{\dfrac{p(x)}{q(x)}=\dfrac{x-1}{x+1}}[/tex]
How can we use ratios and proportional relationships to help us in our daily lives?
Answer:
In cooking (recipes).
Step-by-step explanation:
If the serving size for a recipe is not adequate for the number of people you are serving, you will have to convert the amounts(measurements) of the ingredients to suit your needs. You will do this by first creating a ratio defining the relationship between the serving size of the given recipe to the number of people needed to be served. For example, if a recipe serves 4 people, and you need to serve 8, your ratio would simplify to 1/2. This means you must proportionally relate this ratio to the individual amounts of each ingredient.
I’ll mark as BRANLIEST!!
Please help me!!
40 POINTS!!!
Step-by-step explanation:
Notice that B = {1, 3, 5, 7} and C = {0, 2, 4, 6, 8, 10}.
A U B = {1, 3, 5, 7}.
B ∩ C = { }.
A U C = {0, 1, 2, 4, 5, 6, 7, 8, 10}.
Find the distance between the point A(-4,3) and B(1,6)
Answer:
The distance would be (5,-3)
HELP PLEASEEE OVERDUE (show work) will give BRAINLIEST ! :)
Answer:
2/7 I Don't know the other one
here you go, hope that helps some
I need help please!!
Answer:
y=-2x+5
Step-by-step explanation:
thats the equation because you use the formula, y=mx+b. b is the y intercept (the verticle straight line) and m is the slope. hope this helped!!
A term without a variable is called what?
Answer:
constants
are the term
Answer:
Constants
Step-by-step explanation:
I hope this is correct and have a great day
Given f(x)=7x+12 and Domain={3,6,9} find Range
{21,42,63}
{9,6,3}
{33,54,75}
{19,26,33}
Answer:
the answer is the 3rd option
range = { 33, 54, 75 }
Plz help its urgent
Answer:
what I think this question has mistake
. William fills 1/3 of a water bottle in 1/6 of a minute. How much time will it
take him to fill the bottle?
Answer:
1/2 minute
Step-by-step explanation:
We can use a ratio to solve
1/3 bottle 1 bottle
------------ = --------------
1/6 minute x minutes
Using cross products
1/3x = 1/6 *1
1/3 x = 1/6
Multiply each side by 3
3 * 1/3x = 3 * 1/6
x = 3/6
x = 1/2
1/2 minute
Answer:
30 seconds (1/2 minute)
Step-by-step explanation:
We are given that,
Amount of water filled in 1/6 minute = 1/3
Now, Let the time taken to fill the whole bottle with water be x
Hence,
Through the ratio method we get,
1/3:1/6 : : 1:x
Hence, we need to multiply the extremes and the means together and equalize them.
Hence,
x/3=1/6
x=(1/6)×3
x=(1/2) minute or 30 seconds
what abiotic factor is changing the ecosystem of Lake Washington,and how has this factor changed over time.
Answer:
Step-by-step explanation:
Temperature is the abiotic factor that is changing the ecosystem. Both the top layer temperature and the overall temperature of the lake are increasing. The warmer temperatures have delayed the yearly springtime mixing of warm and cold water in the lake.
A national standardized test is graded on a scale from 1 to 5 the scores for a particular school are given below if a student Is chosen at random what is the possibility that they scored a 4 or a 5
Answer:
Step-by-step explanation:
The possibility of scoring a 4 is 1/5
The possibility of scoring a 5 is 1/5
The possibility of scoring either 4 or a 5 is 2/5
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Solve the following equation. Then place the correct number in the box provided.
x+6-5=8-2
A scuba diver is swimming in the ocean 10 feet below sea level. Then, she dives down 12 more feet to get a better look at a coral reef.
Complete question :
A scuba diver is swimming in the ocean 10 feet below sea level. Then, she dives down 12
more feet to get a better look at a coral reef.
What is the scuba diver's final position relative to sea level?
Answer:
- 22 feets
Step-by-step explanation:
Given that:
Starting position of scuba diver = 10 feets below sea level = - 10 feets
Then a further descent of 12 feets in other to get a better look of the coral Reef
Further descent = - 12 feets (below sealevel)
Hence, Final position of the scuba diver will be:
Starting position + depth of further descent
(-10 + - 12) feets
-22 feets
What is the value of x?
Answer:
45
Step-by-step explanation:
Answer:
value of x=1
Step-by-step explanation:
PLEASE HELP FOR ALGEBRA TEST write an equation that contains the coordinates (0,-1) and (3,7)
Answer:
The answer is y=8/3x-1
Step-by-step explanation:
7-(-1)/3-0
=8/3
y-y=m(x-x¹)
y-7=8/3(x-3)
y-7=8/3x-8
+7 +7
y=8/3x-1
help me pleaseeeee!!!
Answer:
1. distribution property
2. subtraction property
3. division property
Step-by-step explanation:
Answer:
Try division property