Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
5*x+2*y-(4)=0
Equation of a Straight Line
1.1 Solve 5x+2y-4 = 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 5x+2y-4 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2.00000
y-intercept = 4/2 = 2
Calculate the X-Intercept :
When y = 0 the value of x is 4/5 Our line therefore "cuts" the x axis at x= 0.80000
x-intercept = 4/5 = 0.80000
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 2.000 and for x=2.000, the value of y is -3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -3.000 - 2.000 = -5.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -5.000/2.000 = -2.500
Geometric figure: Straight Line
Slope = -5.000/2.000 = -2.500
x-intercept = 4/5 = 0.80000
y-intercept = 4/2 = 2
Use the graph to estimate the value of y when x=2.5
Answer:
I'm guessing: The value of y is 6.5
Step-by-step explanation:
Mark 2.5 on the x-axis between 2 and 3, then draw a line to meet the graph.
Or use the table , y=3x-1
y=3(2.5)-1
y=7.5-1
y=6.5
please mark BRAINLIEST...
A group of people were asked if they had run a red light in the last year. 385 responded "yes", and 472 responded "no".
Find the probability that if a person is chosen at random, they have run a red light in the last year.
Give your answer as a fraction or decimal accurate to at least 3 decimal places
hurry plssssss
Answer:
44.9%
Step-by-step explanation:
you can find the probability by dividing the total number of people by the number of people who have run a red light:
385/857
simplify into a decimal:
0.449
convert into a percent to get your answer:
44.9%
2x - 5y = 10
That is my question help please
Answer:
answer is 27 trust me. I can't explain step by step so please trust ma ans is27
Hmingsanga sells a washing machine for Rs 13,500. He loses 20% in the bargain. What was the price at wich he bought it?
Answer:
10800
Step-by-step explanation:
Answer:
9220 Yan na ang true answer
can you plz help me with 2 & 4
F(105)=105/7 use the following functions to find f(105)
Answer:
F(105) = 15
Step-by-step explanation:
105 ÷ 7 = 15
Hope this helps!
George budgets $900 each month for fixed expenses. He nets $1720 semimonthly. What percent of his net monthly income does he budget for fixed expenses?
(Please help I'm VERY lost)
A. 52%
B. 26%
C. 30%
D. 25%
Answer:
B. 26%
Let say a month=30days
✓if ½ a month is 15 days
Then 30 days = 2(1720)
= $3440.00
% = (900÷3400)x100 =26%
If f(x)= 3x-2 find x if f(x)= 19
Answer:
x=6
Step-by-step explanation:
3(6)+1=18+1=19.
find the next three term of sequence of 1,3,5,7,9,11,...
Please help omg , this is so confusing and stressful if you do help I LOVE YOU
Answer:
20
40
60
80
Step-by-step explanation:
The ratios have to be equal so:
1/3 = x/60 Then use cross multiplication
3x = 60
x = 20
Second one
1/3 = x/120
3x = 120
x = 40
Third One
1/3 = x/180
3x = 180
x = 60
Fourth One
1/3 = x/240
3x = 240
x = 80
(2 x 3) + (3 x 4) =
Answer:
18
Step-by-step explanation:
To answer, you want to follow PEMDAS:
P = parentheses
E = exponents
M = multiplication
D = division
A = addition
S = subtraction
So, the first step is parentheses, therefore we do whatever is inside the parentheses, and that is multiplying:
(2 * 3) + (3 * 4) =
6 + 12
Now, because there are no exponents, we cannot multiply anymore, and we cannot divide, we can add:
6 + 12 =
18
And that is our final answer!
Hope this helps :)
Find the equation of the line that goes through (-8,11) and is perpendicular to x= - 15. Write the equation in the form x = a, y = b, or y = mx + b.
The equation is
(Type the equation using integers or fractions. Simplify your answer.)
Answer:
y=11
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the point (-8, 11) and is perpendicular to x=-15
If a line is perpendicular to another line, it means that the slopes of those lines are negative and reciprocal; in other words, the product of the slopes is equal to -1
The line x=-15 has an undefined slope, which we can represent as 1/0, which is also undefined.
To find the slope of the line perpendicular to x=-15, we can use this equation (m is the slope):
[tex]m_1*m_2=-1[/tex]
[tex]m_1[/tex] in this instance would be 1/0, so we can substitute it into the equation:
[tex]\frac{1}{0} *m_2=-1[/tex]
Multiply both sides by 0
[tex]m_2=0[/tex]
So the slope of the new line is 0
We can substitute it into the equation y=mx+b, where m is the slope and b is the y intercept:
y=0x+b
Now we need to find b:
Since the equation passes through the point (-8,11), we can use its values to solve for b.
Substitute -8 as x and 11 as y:
11=0(-8)+b
Multiply
11=0+b, or 11=b
So substitute into the equation:
y=0x+11
We can also write the equation as y=11
Hope this helps!
please please please help PLEASE PLEASE
Step-by-step explanation:
refer to the picture.. hope this helps :)
A water tank has the shape of a horizontal cylinder with radius 1 meter and length 2 meters. If water is being pumped into the tank at a rate of 5 I cubic meters per minute, find the rate at which the water level is rising when the water is 5 C meters deep. Simplify your answer completely.
Step-by-step explanation:
The answer is dhdt=325πmmin.
With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:
V=πr2h
There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:
V=π(5m)2h
Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:
dVdt=(25m2)πdhdt
In the problem, we are given 3m3min which is dVdt. So we substitute this in:
dhdt=3m3min(25m2)π=325πmmin
3x/2x simplified into racio
Answer:
Simplify the expression.
3x2/2
hope this makes sense lol
Step-by-step explanation:
Answer:
1.5 : 1 (or) 3/2
Step-by-step explanation:
Given expression,
→ 3x/2x
Let's simplify the expression,
→ 3x/2x
→ (3 ÷ 2)(x ÷ x)
→ (1.5)(1)
→ 1.5
Now the required ratio will be,
→ 3 : 2
→ 1.5 : 1
Hence, required ratio is 1.5 : 1.
An election is over and a new city council member has been elected. The new councilman received 3 votes for every vote received by his opponent. The new councilman received 2763 votes. How many votes did his opponent receive?
Answer:
921
Step-by-step explanation:
If he recives 3x amount than his oppenent
than we would divided by 3 from his score to find oppponets score
so....
2763 divided by 3=921
Herman buys a pair of pants for 39.95 and a few shirts for 19.95 each. Write an equation to represent the total cost of the purchase
Answer:
39.95+(how many shirts times 19.95)
Step-by-step explanation:
The graph of f(x) =In x the y axis is the _____ asymptote.
a. vertical
b. horizontal
c. oblique
explain your thinking
Answer:
a) Vertical.
Step-by-step explanation:
There is no value of ln x <= 0.
The asymptote ix x = 0 (that is the y-axis).
HELP PLS MARKING BRAINLEIST
Answer:
1
Step-by-step explanation:
5/5=1
Answer:
4/5
Step-by-step explanation:
You move up four on the y-axis and over 5 on the x-axis and it would meet the next point
Hope this Helps
Round off to the nearest hundredth: 3.6789
Simone wrote that 2 + 5.8 = 6.
Use the drop-down menus to explain why 6 is incorrect.
Answer:
2 + 5.8 cannot be 6 because 2 + 5.8 is 7.8.
Six is a correct sum to the expression 0.2 + 5.8, not 2 + 5.8.
oliver sewed a quilt 3 2/3 feet long and 2 1/4 feet wide. what is the area of her quilt?
Answer:
8.25 feet
Step-by-step explanation:
3 2/3 times 2 1/4 equals 8.25
what is the value of y in the triangle?
Answer:
y = 3[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Since sinθ = opp/hypoteneuse,
sin60 = y/6
y = sin60° * 6
= [tex]\frac{\sqrt{3} }{2}[/tex] * 6
≈ 3[tex]\sqrt{3}[/tex]
Hence, y = 3[tex]\sqrt{3}[/tex]
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
which expression is the additive invers of -5/8
A. 8/5
B.5/8
C. -5/8
D. -8/5
Answer:
c because it came by its formula
To indirectly measure the distance across a river, Nolan stands on one side of the river and uses sight-lines to a landmark on the opposite bank. Nolan draws the diagram below to show the lengths and angles that he measured. Find PRPR, the distance across the river. Round your answer to the nearest foot.
The length of PR to the nearest foot is 198.94 feet
Find the diagram attached
From the diagram, the triangle PRE and POC are similar triangles.
Let PR = x
Based on similarity theorem;
PR/RE = PR+RO/OC
x/135 = (x+140)/230
Cross multiply
230x = 135(x+ 140)
230x = 135x + 18,900
230x - 135x = 18,900
95x = 18900
x =18900/95
x = 198.94
Hence the length of PR to the nearest foot is 198.94 feet
Learn more here: https://brainly.com/question/19892143
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
Its A
Step-by-step explanation:
took the test a while ago
You are buying bottles of a sports drink mix for a softball team. Each bottle costs $1.19. What function rule models the total cost of a purchase? Evaluate the function for 15 bottles
Answer: f(x) = 1.19x, where f(x) is the total cost, and x is the cost per bottle
Cost of 15 bottles: $17.85
Step-by-step explanation:
This question describes a straightforward relation between cost per bottle, and cost for all the bottles. As such, simply equate one variable to the value of one bottle, and f(x) as the value of every bottle.
Hope it helps :) and let me know if you want me to elaborate.
P.S. f(x) can simply be substituted for "y"
Let
no of bottles be x
.The function is given by
[tex]\\ \sf\longmapsto f(x)=1.19x[/tex]
Now
Bottles=15Cost:-
[tex]\\ \sf\longmapsto f(15)[/tex]
[tex]\\ \sf\longmapsto 1.19(15)[/tex]
[tex]\\ \sf\longmapsto 17.89[/tex]
solve the two-step equation. -1/3x-21/4=27/4
Answer:
x=(-36)
Step-by-step explanation:
Answer:
x = -36.
Step-by-step explanation:
-1/3x-21/4=27/4
-1/3x = 27/4 + 21/4
-1/3x = 48/4 = 12
x = 12* -3
x = -36.
What is the slope-intercept equation
for the following line?
Answer:
y= 2x +7
Step-by-step explanation:
Will give 5 points for answer
Answer:
1and 3 are not a function 2 and 4 are a function 6 not enough
Step-by-step explanation: