Answer:
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*x-(4*y-7)=0
STEP
1
:
Equation of a Straight Line
1.1 Solve 3x-4y+7 = 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 3x-4y+7 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 7/4 so this line "cuts" the y axis at y= 1.75000
y-intercept = 7/4 = 1.75000
Calculate the X-Intercept :
When y = 0 the value of x is -7/3 Our line therefore "cuts" the x axis at x=-2.33333
x-intercept = -7/3 = -2.33333
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 1.750 and for x=2.000, the value of y is 3.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.250 - 1.750 = 1.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 1.500/2.000 = 0.750
Geometric figure: Straight Line
Slope = 1.500/2.000 = 0.750
x-intercept = -7/3 = -2.33333
y-intercept = 7/4 = 1.75000
help pleaseeeeeeeeeeeeeeeeeeee
Answer: the maximum is at (3,4)
Step-by-step explanation:
Which of the following fractions is equal to the repeating decimal 0.555
Answer:
5/9
Step-by-step explanation:
5/9 is 0.5 recurring
what is the domain of the function represented by the graph?
Answer:
option A is the answer
Step-by-step explanation:
............
the question is in the photo
is it me or is the photo not showing?
Answer:
no photo lol
Step-by-step explanation:
How do you write 5 out of 6 in a fraction. Show how you got the answer.
Answer:
5/6
Step-by-step explanation:
bro ok this it ok okik
Answer:
5/6
5 out of 6
Step-by-step explanation:
HELP TIMED BRAINLIST QUICK
Fun fact: If you put fun fact in front of a statement, people will click on it and read it. (Now answer)
36+14/25
Answer:
the answer is 36+14/25=36.56
PLEASE HURRY) The graph indicates the running route for Tobias
Which best describes his run
A. From time 0 to 6, he went fast and then slowed down.
B. From time 6 to 10, he was at his slowest.
C. From time 12 to 14, he went very slow.
D. From time 14 to 18, he went toward the starting point.
Answer: B. From time 6 to 10, he was at his slowest.
Step-by-step explanation: I just took the same quiz so HURRY!!!
Answer:
b
Step-by-step explanation:
find the amount accumlatrd after investing a principal P for t years at an interest rate compound annuay. P= $12,000 r=7.5% t=7
Answer:
A = $19,908.59
Step-by-step explanation:
Compound Interest
Compound interest occurs when the interest earned in a given period is reinvested rather than paying it out. The interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
[tex]{\displaystyle A=P\left(1+{\frac {r}{k}}\right)^{kt}}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
k = number of times interest applied per time period
t = number of time periods elapsed
We are given the following data:
P = $12,000
r = 7.5% = 7.5/100 = 0.075
t = 7
k = 1 since there is only on compounding per year.
Applying the formula:
[tex]{\displaystyle A=\$12,000\left(1+{\frac {0.075}{1}}\right)^{7}}[/tex]
[tex]{\displaystyle A=\$12,000\left(1.075\right)^{7}}[/tex]
A = $19,908.59
n old building has been demolished, and there are tons of debris to haul away. Each pickup load can hold a ton of debris. As many full loads as possible are hauled away. How much of a full pickup load is in the last load of debris?
Pick an answer!
1/6
8/27
2/3
7/9
Answer:
The question is incomplete...
Step-by-step explanation:
A TV report conducted a survey of 947 people in New York City and found that 35% of the population believe that the Yankees will miss the playoffs this year. In the accompanying dialogue, the reporter states, we are 97% confident that the true proportion of people in New York City who believe that the Yankees will miss the playoffs this year lies between 28% and 42% . What does 35% represent in the report
Answer:
[tex]35\%[/tex] represents the sample proportion of the population
Step-by-step explanation:
From the question we are told that
The sample size is n = 947
The proportion of the population that believes that the Yankees will miss the playoffs this year is [tex]k = 35\% = 0.35[/tex]
From the question we are told the confidence level is 97%
The lower limit of the confidence level is a = 28%
The upper limit of the b = 42%
Generally the sample proportion of this population is mathematically represented as
[tex]\^ p = \frac{a+ b}{2}[/tex]
=> [tex]\^ p = \frac{28 + 42 }{2}[/tex]
=> [tex]\^ p = 35\%[/tex]
Hence [tex]35\%[/tex] represents the sample proportion
Help me please .....
Answer:
the transformed function will be: [tex]\mathbf{g(x)=-\sqrt{\frac{1}{3} x}+2}[/tex]
Step-by-step explanation:
We need to transform [tex]f(x)=\sqrt{x}[/tex] into g(x) using following translations
1) reflection in the x-axis
The reflection across x-axis will be:
[tex]g(x)=-\sqrt{x}[/tex]
2) Horizontal shrink by a factor of 1/3
The horizontal shrink by a factor of 1/3 will make the function g(x)
[tex]g(x)=-\sqrt{\frac{1}{3} x}[/tex]
3) Vertical translation up 2 units
The vertical translation up 2 units will make the function g(x)
[tex]g(x)=-\sqrt{\frac{1}{3} x}+2[/tex]
So, the transformed function will be: [tex]\mathbf{g(x)=-\sqrt{\frac{1}{3} x}+2}[/tex]
Plz answer the question attached
Answer:
y = -2x + 5
Step-by-step explanation:
To find the slope, you need to pick two points and put into the slope formula. It doesn't matter which ones, you will get the right answer regardless. I used (-3, 11) and (2, 1).
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{11 -1 }{-3 -2 } \\m=\frac{10 }{-5 } \\m=-2[/tex]
Now that you have the slope, you can plug it into point-slope form to find the equation in slope-intercept form. You will also need to plug one of the given points. Again, it doesn't matter which one.
[tex]y-y_{1}=m(x-x_{1} )\\y-1=-2(x-2)\\y-1=-2x+4\\y=-2x+5[/tex]
I NEED HELP SOMEONE PLEASE HELP ME I NEED ANSWER BY TODAY SOMEONE PLEASE HELP
Answer:
D 100% d
Step-by-step explanation:
Plz I need help u get brainliest if right when I’m done
Answer:
-2/5
Step-by-step explanation:
-4/5 ÷ 2
-4 /5 × 1 /2
-4 × 1
5 × 2
-4 /10
-4 ÷ 2
10 ÷ 2
–2 /5
the sale price of an item is $160 after a 20% discount what was the original price of the item
Answer:
200
Step-by-step explanation:
Because first you divide 160 by 4 (100-20=80, 80/100 simplified is 4/5) and you get 40. Then you multiply 40 by 5 and you get 200. Their are many ways to solve it. I personally think this is the easiest.
HOPE THIS HELPS
Please help I will mark brainliest
Answer: the graph is incorrect
Step-by-step explanation:
The graph should be headed towards the left (the negative x side) because x is negative
Answer:
The graph is not correct, because it is a positive graph. It answers the equation y= x, and Franco said it was y= -x. His line would be negative, and this graph is positive.
Step-by-step explanation:
what is 2 and 1 3rd times 5
Answer:
2[tex]\frac{1}{3}[/tex]x5=11[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
5x2=10
[tex]\frac{1}{3}[/tex]x5=[tex]\frac{5}{3}[/tex]
[tex]\frac{5}{3}[/tex]=1[tex]\frac{2}{3}[/tex]
10+1[tex]\frac{2}{3}[/tex]=11[tex]\frac{2}{3}[/tex]
Solve the proportion. 8/11 = 4/y + 2
Answer:
The answer is Y = - (22)/(7 )
Step-by-step explanation:
The parenthesis do not mean anything write 22/7 as a fraction.. why did you report my answer so rude
1 What is the equation of a line that has a
slope of 2 and passes through point (-6,
3)?
A y = 2x + 15
By = 2x + 9
C y = -3x + 9
Dy = -6x + 3
Tom got 7 over 8 pound of honey from a hive. He calculated the quotient of 7 over 8 ÷ 2 over 5 . Which statement shows the quotient and gives the most likely explanation of what Tom was trying to determine? (5 points)
a
He can make 14 over 40 of a bottle of honey with 2 over 5 pound of honey in each bottle.
b
He can get 14 over 40 pound of honey if he divides the honey into 2 over 5 -pound portions.
c
He can get 2 and 3 over 16 pounds of honey if he divides the honey into 2 over 5 -pound portions.
d
He can make 2 and 3 over 16 bottles of honey with 2 over 5 pound of honey in each bottle.
Answer:
C.
Step-by-step explanation:
He can get 2 3/16 pounds of honey if he divides the honey into 2/5 - pound portions.
7/8 / 2/5= 7/8 x 5/2= 35/16= 2 3/16 pounds of honey into 2/5 pound portions
via. google
Hope this helps dude
Tom can get 2 and 3 over 16 ([tex]2\frac{3}{16}[/tex]) pounds of honey if he divides 7 over 8 ([tex]\frac{7}{8}[/tex]) pound of honey into 2 over 5 ([tex]\frac{2}{5}[/tex]) pound portions: Option C.
Given the following data:
Quantity of honey = [tex]\frac{7}{8} \;pound[/tex]To determine the statement which shows the quotient and gives the most likely explanation of what Tom was trying to calculate:
Translating the word sentence into an algebraic expression, we have;
7 over 8 divided by 2 over 5:
[tex]\frac{7}{8}\; \div \; \frac{2}{5}[/tex]
Applying the basic law of division for fractions, we have:
[tex]Quotient = \frac{7}{8}\; \times \; \frac{5}{2}\\\\Quotient =\frac{35}{16}[/tex]
Simplifying further, we have:
[tex]Quotient =\frac{35}{16} = 2\frac{3}{16}[/tex]
Therefore, Tom can get 2 and 3 over 16 ([tex]2\frac{3}{16}[/tex]) pounds of honey if he divides 7 over 8 ([tex]\frac{7}{8}[/tex]) pound of honey into 2 over 5 ([tex]\frac{2}{5}[/tex]) pound portions.
Read more on quotient here: https://brainly.com/question/3702921
Find the area of the figure. Use 3.14 for π.
Answer:
196.48m²
Step-by-step explanation:
AREA OF THE PICTURE = AREA OF TRIANGLE + AREA OF SEMI CIRCLE
Length of base of the triangle = 16m
Length of perpendicular height of triangle = 12m
Area of triangle = [tex]\frac{1}{2} *16*12 = 96m^{2}[/tex]
Length of diameter of semi-circle = 16m
Length of radius of semi-circle = [tex]\frac{16}{2} =8m[/tex]
Area of semi circle = [tex]\frac{\pi 8^{2}}{2} = \frac{64 * 3.14}{2} =\frac{200.96}{2} =100.48m^{2}[/tex]
AREA OF THE FIGURE = 100.48 + 96 = 196.48m²
What is the answer to this?
Answer:
65 reaminder 85
Step-by-step explanation:
u divided it and theres a big remainder so i did the two first reinders i found
I need help with this question
Answer:
oehfinefnefikvds
Step-by-step explanation:
okokokoko
Solve for n in the following equation. A=P(1+n) show all work
Answer:
n = A/P - 1
Step-by-step explanation:
1st step: subtract P from each side to get A/P = 1+n
2nd step: subtract 1 from each side to get the answer above
A line is perpendicular to
y = -x-9
What is the slope of this
perpendicular line?
A. -1/4
B. 1/4
a-4
D. 4
Note: your answer options suggest as if your actual question was
y = -4x - 9 instead of y = -x-9
But, anyways I am solving with respect to both equations
Answer:
Please check the explanation.
Step-by-step explanation:
IN CASE YOUR EQUATION ⇒ y = -x - 9
The slope-intercept form of the line equation
y = mx+b
where m is the slope and b is the y-intercept
Given the line
[tex]y = -x-9[/tex]
comparing with the slope-intercept form (y = mx+b) of the line
Therefore, slope of the line = m = -1We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = -1
perpendicular slope = – 1/m = -1/-1 = 1
Thus the slope of this perpendicular line will be: 1
IN CASE YOUR EQUATION ⇒ y = -4x - 9
Given the line
[tex]y = -4x - 9[/tex]
comparing with the slope-intercept form (y = mx+b) of the line
Therefore, slope of the line = m = -4We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = -4
perpendicular slope = – 1/4 = -1/-4 = 4
Thus the slope of this perpendicular line will be: 4
What is the greatest common factor of 36, 90 and 108?
Answer:
The one greatest common factor of 36, 90, 108 is 18.
Step-by-step explanation:
2x – 10 = 4x
solve for x
Answer:
Step-by-step explanation:
2x-10=4x
-10=4x-2x
-10=2x
-10÷2=x
-5=x
How does the graph of g(x)=4⌊x⌋ differ from the graph of f(x)=⌊x⌋?
This is another way of saying "the graph of g(x) is 4 times taller compared to f(x)".
Recall that anything of the form g(x) = k*f(x) will basically stretch f(x) vertically by a factor of k, where k is any real number. This is because y = f(x) and k*f(x) will move the y coordinate k times further away. For 4*f(x), the y coordinate is moved 4 times further away. Do this for every point, and you'll have the vertical stretch mentioned earlier.
Is - .6251327657 a rational number?
Answer:
No
Step-by-step explanation:
I dont think rational numbers can be negative. Also the values are not repeating.