Answer:
Slope = -1/5
y-intercept = 3/4
Step-by-step explanation:
Equation of Straight Line in the Form y=mx+c
where m is the Slope and c is the y-intercept.
Answer:
Slope = -0.400/2.000 = -0.200
x-intercept = 15/4 = 3.75000
y-intercept = 15/20 = 3/4 = 0.75000
Step-by-step explanation:
* BE AWARE, THIS ANSWER IS NOT TO BE PLAGERIZED AS IT IS CONSIDERED CHEATING IF THIS IS A TEST OR HOMEWORK QUESTION, MOST LIKELY IT IS* - Purpose is to help understanding of the concept.
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(3/4-1/5*x)=0
STEP 1:
simplify 1/5
Equation at the end of step 1:
y -(3/4-(1/5• x)) = 0
Step 2:
Simplify 3/4
Equation at the end of step 2:
y-)(3/4-x/5)=0
Step 3:
Calculating the Least Common Multiple :
ind the Least Common Multiple
The left denominator is : 4
The right denominator is : 5
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 2 0 2
5 0 1 1
Product of all
Prime Factors 4 5 20
Least Common Multiple:
20
Calculating Multipliers :
3.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 5
Right_M = L.C.M / R_Deno = 4
Making Equivalent Fractions :
3.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier. L. Mult. • L. Num. 3 • 5
—————————————————— = —————
L.C.M 20
R. Mult. • R. Num. x • 4
—————————————————— = —————
L.C.M 20
Adding fractions that have a common denominator :
3.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3 • 5 - (x • 4) 15 - 4x
——————————————— = ———————
20 20
Equation at the end of step
3
:
(15 - 4x)
y - ————————— = 0
20
STEP
4
:
Rewriting the whole as an Equivalent Fraction :
4.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 20 as the denominator :
y y • 20
y = — = ——————
1 20
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
y • 20 - ((15-4x)) 20y + 4x - 15
—————————————————— = —————————————
20 20
Equation at the end of step
4
:
20y + 4x - 15
————————————— = 0
20
STEP
5
:
When a fraction equals zero :
5.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
20y+4x-15
————————— • 20 = 0 • 20
20
Now, on the left hand side, the 20 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
20y+4x-15 = 0
Equation of a Straight Line
5.2 Solve 20y+4x-15 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 20y+4x-15 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 3/4 so this line "cuts" the y axis at y= 0.75000
y-intercept = 15/20 = 3/4 = 0.75000
Calculate the X-Intercept :
When y = 0 the value of x is 15/4 Our line therefore "cuts" the x axis at x= 3.75000
x-intercept = 15/4 = 3.75000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 0.750 and for x=2.000, the value of y is 0.350. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 0.350 - 0.750 = -0.400 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -0.400/2.000 = -0.200
Geometric figure: Straight Line
Slope = -0.400/2.000 = -0.200
x-intercept = 15/4 = 3.75000
y-intercept = 15/20 = 3/4 = 0.75000
what is 36 more than 40
Answer:
76.
Step-by-step explanation:
Forty "more" implies that you are adding forty to thirty-six. Making it seventy-six.
The number that is 36 more than 40 will be 76.
What is Algebra?Algebra is the analysis of abstract symbols, while reasoning is the manipulation of all those views.
The definition of unsophistication is making something simpler to achieve or grasp while also making it a little less difficult.
Let 'x' be the number that is 36 more than 40. Then the equation is given as,
x = 36 + 40
Add the number 36 and 40, then we have
x = 36 + 40
x = 76
The number that is 36 more than 40 will be 76.
More about the Algebra link is given below.
https://brainly.com/question/953809
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Which of the following is not a linear function?
Answer:
Step-by-step explanation:
Answer:
A is not linear.
Step-by-step explanation:
This is my proof when I put it on my graphing calculator.
Which of the following is the graph of an odd-degree polynomial with a positive lead
coefficient?
(Answer choices are in the image)
The third graph is the only one that is an an odd-degree polynomial with a positive lead coefficient.
How to Interpret the graph of a Polynomial?An even number of total minimums/maximums of the Polynomial is classified as an odd-degree polynomial. Now, we see that only the 3rd and 4th graphs are odd-degree polynomials because they have four total minimums/maximums.
For the polynomial to have a positive leading coefficient, the line must go up in the positive direction. This means that only the 1st and 3rd graphs have a positive leading coefficient due to the fact that their right-most line is going upwards.
Thus, we can say that the third graph is the only one that is an an odd-degree polynomial with a positive lead coefficient.
Read more about Polynomial Graph at; https://brainly.com/question/4685884
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20 points! I appreciate it! What is the difference in the areas of the two triangles?
Answer:
1 ft²
Step-by-step explanation:
Left triangle, area = 10 x 7/2 = 35 ft²
Right triangle, area = 9 x 8/2 = 36 ft²
Difference = 1 ft²
Find the value of x
A. 25°
B. 85°
C. 75°
D. 105°
Answer:
C
Step-by-step explanation:
I took the test and got it right
Answer:
C: 75 degrees
Step-by-step explanation:
180-155=25 which makes the angle to the other side of angle x
80+25=105
180(full angle measurement of triangle)-105=75
Btw I also had this on my quiz and got it right
Solve this Question and Write the method how to find LCM.
Answer:
8a²b
Step-by-step explanation:
Least common multiple: The smallest number that is a multiple of two or more numbers
As 2a² has a² and 8ab has b, then the least common multiple will include a²b.
8 is a multiple of 2
Therefore, the LCM is 8a²b
The price of Stock A at 9 A.M. was $12.41. Since then, the price has been increasing at the rate of $0.12 each hour. At noon the price of Stock B was $13.16. It begins to decrease at the rate of $0.14 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answer:
1.50 Hours
Step-by-step explanation:
Given:
→ The price of Stock A at 9 A.M. was $12.41. → Since then, the price has been increasing at the rate of $0.12 each hour. → At noon the price of Stock B was $13.16. → It begins to decrease at the rate of $0.14 each hour.To Find:
If the two rates continue, in how many hours will the prices of the two stocks be the same?
Solve:
Price of stock A at 9 a.m.= $12.41
The price has been increasing at the rate of $0.12 each hour.
Increase in price after 3 hours = 0.12 × 3 = 0.36
Price of Stock A at noon= 12.41+0.36 =12.77
Let n be the no. of hours after which the prices of both the stocks will be same .
So, Increase in price after n hours = 0.12 n
Price of Stock A after n hours = 12.77+0.12 n
Price of stock B = 13.16
The price has been decreasing at the rate of $0.14 each hour.
Let n be the no. of hours
So, Increase in price after n hours = 0.14 n
Price of Stock B after n hours =13.16-0.14 n
ATQ
12.77 + 0.12n = 13.16 - 0.14n
-12.77 + 13.16 = 0.12n + 0.14n
0.39 = 0.26n
0.39/0.26 = n
n = 1.50
Hence the prices of the two stocks be the same after 1.50 hours after 12 pm .
~Learn with Lenvy~
man helppppp oooooooooo
your answer is right since your going to the right +3 and decreasing -9 units
WILL GIVE BRAINLIEST. Explain how you would prove that this is an identity. (Please explain in understandable terms)
Answer:
Step-by-step explanation:
I would first expand out the numerator since it would become [tex]\sin^{2} x+2\sin x \cos x+\cos^{2}x[/tex], which would allow me to use the double angle formula for sine and the Pythagorean identity.
What is the first step you would take to solve the equation 1 1/2 + 2 1/3 = ?
A. First, you should convert the mixed numbers to improper fractions.
B. First, you should simplify the fractions with the GCF.
C. First, you should clearly state your final answer.
D. First, you should multiply the numerators and denominators.
The first step to solve the equation 1 1/2 + 2 1/3 = ? is (a) First, you should convert the mixed numbers to improper fractions.
How to determine the first step?The equation is given as:
1 1/2 + 2 1/3 = ?
The terms in the equation are mixed numbers.
So, the first stem is to convert the mixed numbers to improper fractions
Hence, the true statement is (a) First, you should convert the mixed numbers to improper fractions.
Read more about fractions at:
https://brainly.com/question/1622425
help me fast pleas-
help meeeeeeeeeeeeee
The slope of a line is given by the formula:
horizontal change
m
vertical change
True
False
Answer:
The answer is True
Please show work and thank you
Step-by-step explanation:
since it's an isosceles triangle, DE = EF
i.e. 8x-13 = 5x+ 17
or 8x -5x = 17 +13
or 2x = 30
or X = 15
Find the Volume of a cylinder with a diameter of 5 in and the height of 10 in. Use π = 3.14
Answer:
196.25in^3
Step-by-step explanation:
[tex]diameter(d) = 5in \\ radius(r) = 2.5in \\ height(h) = 10in \\ \\ volume = \pi {r}^{2} h \\ volume = 3.14 \times {2.5in}^{2} \times 10in \\ volume = 196.25 {in}^{3} [/tex]
What’s the answer to this question
Answer:
398 * 1.034^t
Step-by-step explanation:
P = 398(1 + 3.4%)^t = 398 * 1.034^t
Express as a trinomial.
(3-10) (2x + 2)
Compare the numbers 289.4 and 289.400 using >,<, or =
Answer:
289.4 = 289.400
Step-by-step explanation:
no matter how many 0s are added to the end theyre always gonna be the same
What is the equation of the line that passes through the point ( 2 , − 3 ) (2,−3) and has a slope of 2
Answer: y = 2x -7
Step-by-step explanation:
The equation of a line is in the form y = mx + b
We know m = 2
So, y = 2x + b
we need to find b, and we can use either point given to find it:
lets use (2, -3):
-3 = 2(2) + b
-7 = b
now we know, the line's equation is y = 2x -7
Select all the expressions that are equivalent to 9 + 7x – 3y.
Answer:
4 or 9+7x+(-3y) is the only expression equivalent
Step-by-step explanation:
Number 4 is the only expression that comes out to be equivalent because the rest of the answer choices have something wrong with them.
Step-by-step explanation:
Eric jog 3 1\4 miles on Monday 5 5\8 miles on Tuesday and 8 miles on Wednesday suppose he continues the pattern for the remainder of the week how far will Eric jog on Friday
Step-by-step explanation:
first, let's bring everything to the same fraction denominator, which would be 1/8 to cover all.
so, he jogs
3 2/8 miles on Monday
5 5/8 miles on Tuesday
8 0/8 miles on Wednesday
the difference from day to day is
5 5/8 - 3 2/8 = 2 3/8 (subtract the whole numbers and then also the fractional part).
to control :
5 5/8 + 2 3/8 = 7 8/8 = 8
so, he adds every day 2 3/8 miles.
that means in 2 days (from Wednesday to Friday) this will be additional 2×(2 3/8) = 4 6/8 = 4 3/4 miles.
so, he will jog
8 + 4 3/4 = 12 3/4 miles
on Friday.
don't forget, when we write something like 2 3/8. we actuality mean (2 + 3/8). and all rules about handling, transforming and calculating expressions apply.
therefore, e.g
2×(2 3/8) = 2×(2 + 3/8) = 4 + 6/8 = 4 6/8 = 4 3/4
hi! what’s the square root of 82 rounded to the nearest tenth?
Answer:
9.1
Step-by-step explanation:
I went into my calculator and typed in [tex]\sqrt{82}[/tex] and I was given:
9.055385...
So to round the nearest tenth, you look at the tenths place (which is 0) and go one number behind that (which is 5). Since the number behind the tenths place is 5 or higher, you round up to 1
If we drop a rock near the surface of Earth, its velocity increases by 32 feet per second for each second the rock falls. Is the velocity of the rock a linear function of the time since it was dropped?
The velocity of the rock is the number of feet traveled per second
The velocity of the rock is a linear function of time
How to determine the function?From the question, we understand that the velocity increases by 32 feet per second for each second
This means that we have the following rates:
Velocity = 0, 32, 64, 96, 128....
Notice that the difference between adjacent numbers is 32.
This means that the velocity changes at a constant rate or slope
Hence, the velocity of the rock is a linear function
Read more about linear functions at:
https://brainly.com/question/15602982
Find the volume of 4 in 12 1/8 in 1 1/4 in
Tim bought a certain number of bags of chips that each cost $1.05. Find the cost of 2 bags.
Answer:
$2.10
Step-by-step explanation:
To get this answer all you have to do is, $1.05 x 2 = $2.10
Shannon is building a rectangular garden that is 18 feet wide and 27 feet long. Write an equation that represents the area of Shannon’s garden. In your equation, let g represent the area of Shannon’s garden. Then solve your equation
-2(3x-5)=4(x+3)+8
Please will give brainlyest
Answer:
x=-1
Step-by-step explanation:
-2(3x-5)=4(x+3)+8
-6x+10=4(x+3)+8
-6x+10=4x+12+8
-6x+10=4x+20
-6x+10-10=4x+20-10
-6x=4x+10
-6x-4x+10-4x
-10x=10
[tex]\frac{-10}{-10}= \frac{10}{-10}[/tex]
x=-1
Pomegranate, Papaya, and Lychee
Answer:
they're fruits
Step-by-step explanation:
i dont really know what the question is... they help against heart disease, cancer and diabetes
What is a dividend if the question is 1/2 divided by 1/4 =
Answer:
2
Step-by-step explanation:
Multiply the numerator of 1/2 with the denominator of 1/4 to get 4. Then multiply the denominator of 1/2 with the numerator of 1/4 to get 2. Lastly divide 4 by 2 to get 2.
How many 1/3 cup servings are in 9 cups of homemade soup
Answer:
27
Step-by-step explanation:
9 divided by 1/3 is 9 times 3 which is 27
On a jogging trail, you take a random sample of the speed of 50 joggers and determine that their average speed is 5.3 mph. Which statement is true?
A) You conclude that the average speed of all joggers is close to 5.3 mph.
B) You conclude that the speed of all joggers on this trail is exactly 5.3 mph.
C) You conclude that the average speed of all joggers on this trail is close to 5.3 mph.
D) You conclude that the speed of more than half of the joggers on this trail is less than 5.3 mph.