Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(2*x+5)=0
STEP1:
Equation of a Straight Line
1.1 Solve y-2x-5 = 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 y-2x-5 = 0 and calculate its properties
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 5/1 so this line "cuts" the y axis at y= 5.00000
y-intercept = 5/1 = 5.00000
Calculate the X-Intercept :
When y = 0 the value of x is 5/-2 Our line therefore "cuts" the x axis at x=-2.50000
x-intercept = 5/-2 = -2.50000
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 5.000 and for x=2.000, the value of y is 9.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 9.000 - 5.000 = 4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 4.000/2.000 = 2.000
Geometric figure: Straight Line
Slope = 4.000/2.000 = 2.000 x-intercept = 5/-2 = -2.50000 y-intercept = 5/1 = 5.00000Examine the linear relationships.
Linear equation A: y=45x
Linear equation B is represented by this graph.
A line that passes through points (0, 2) and (5, 4).
© 2017 StrongMind. Created using GeoGebra.
Which statement is entirely correct?
Equation A has a steeper slope, because 45 is greater than 25.Equation A has a steeper slope, because 4 fifths is greater than
Equation B has a steeper slope, because 45 is greater than 25.Equation B has a steeper slope, because 4 fifths is greater than
Equation A has a steeper slope, because 52 is greater than 45.Equation A has a steeper slope, because 5 halves is greater than
Equation B has a steeper slope, because 52 is greater than 45.
Using linear functions, it is found that the correct option is:
Equation A has a steeper slope, because [tex]\frac{4}{5}[/tex] is greater than [tex]\frac{2}{5}[/tex].
A linear function has the following format:
[tex]y = ax + b[/tex]
In which:
a is the slope, which is the rate of change.The higher the slope, the steeper the function is:Linear equation A is given by:
[tex]y = \frac{4}{5}x[/tex]
Linear equation B passes through points (0, 2) and (5, 4). Since the slope between two points is given by change in y divided by change in x, we have that:
[tex]m = \frac{4 - 2}{5 - 0} = \frac{2}{5}[/tex]
Equation A has a higher slope, hence, it is steeper, and the correct option is:
Equation A has a steeper slope, because [tex]\frac{4}{5}[/tex] is greater than [tex]\frac{2}{5}[/tex].
A similar problem is given at https://brainly.com/question/20386726
The total student at Shiloh middle school is 1,400 students. If the ratio of boy to girls is 3:4 for the school how many students are boys and how many students are girls
There are 600 boys and 800 girls.
SOLUTION:We are given the following facts:
The total number of students is 1,400.The ratio of boys to girls is 3:4.We express this as a partitive proportion.
» Solve for x.
[tex] \sf 3x + 4x = 1400 [/tex][tex] \sf 7x = 1400 [/tex][tex] \sf x = \frac{1400}{7} [/tex][tex] \sf x = 200 [/tex]Now we to solve for the number of boys and the number of girls.
» Number of boys:
= [tex] \sf 3x [/tex] = [tex] \sf (3)(200) [/tex] = [tex] {\boxed{\sf 600}} [/tex]» Number of girls:
= [tex] \sf 4x [/tex] = [tex] \sf (4)(200) [/tex] = [tex] {\boxed{\sf 800}} [/tex]Thus, there are 600 boys and 800 girls. The sum of these is the total number of students in Shiloh Middle School.
HOPE IT HELPS!Events A and B are disjoint. Find P(AorB) when P(A) = 0.55 and P(B) = 0.2
P (A or B)=
Answer:
0.75 = P(A or B)
Step-by-step explanation:
Since the events are disjoint, we can find the probability of one or the other occurring merely by adding P(A) and P(B): 0.55 + 0.2 = 0.75 = P(A or B)
Help please and super quick
Answer:
it's super easy
7¹⁵/7¹⁴
7¹⁵-¹⁴
7¹ or 7
Step-by-step explanation:
I know it helped you :)
I need help with these questions
Answer:
segment addition postulate
the second answer is true
Step-by-step explanation:
my teacher taught me this recently
Please help! I will give points <3
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{b - 6a}\\\large\textsf{= \boxed{\textsf{44}} - 6\boxed{\textsf{(3)}}}\\\large\textsf{= 44 - 18}\\\large\textsf{= 26}\\\\\\\huge\boxed{\text{Therefore, your answer: \boxed{\textsf{26}}}}\huge\checkmark\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\frak{Amphitrite1040:)}[/tex]
2. Rich and Betsy Cuik started a small business. They manufacture a
microwavable coffee-to-go cup called Cuik Cuppa Coffee. It contains
spring water and ground coffee beans in a tea-bag-like pouch. Each
cup costs the company $1.00 to manufacture. The fixed costs for this
product line are $1,500. Rich and Betsy have determined the demand
function to be q = -1,000p + 8,500, where p is the price for each cup.
a. Write the expense equation in terms of the demand, q.
b. Express the expense equation found in part a in terms of the
price,p.
c. Determine a viewing window on a graphing calculator for the
expense function. Justify your answer.
d. Draw and label the graph of the expense function.
e. Write the revenue function in terms of the price.
f. Graph the revenue function in a suitable viewing window. What
price will yield the maximum revenue? What is the revenue at
that price? Round both answers to the nearest cent.
g. Graph the revenue and expense functions on the same coordinate
plane. Identify the points of intersection using a graphing calcula-
tor. Round your answers to the nearest cent. Identify the price at
the breakeven points.
I
Answer:
Step-by-step explanation:
A) 1.00q+1,500
E=1.00q+1,500
The costs are $1.00 per cup and $1,500.
Let E represents the total cost.
Let q be the demand (number of cups).
Then the total cost is the product of the costs per cup of $1.00 multiplied by the number of cups, increased by the fixed costs of $1,500
a cube has a side length of x^5 cm express the volume of the cube as a power to a power
Answer:
V = x^15
Step-by-step explanation:
(x^5)^3 = x^15
find the value of x.
Answer:
x = 11
Step-by-step explanation:
Chords equidistant from the centre , which is the case here are congruent, so
x = 11
Which pair of functions are inverse function?
Answer:
inverse functions is when the x and y coordinates are interchanged
Step-by-step explanation:
(1,2) and (2,1) are inverse functions. in other words they are flipped at the y=x line
(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)
Answer:
9.09
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
When looking at the triangle we see that we have the hypotenuse and the opposite side.
a = opposite
b = adjacent
c = hypotenuse (always)
So if we plug those numbers into the equation we can get the missing side length
1) a² + b² = c²
2) 9.7² + b² = 13.3²
3) b² = 13.3² - 9.7²
4) b² = 176.89 - 94.09
5) b = [tex]\sqrt{176.89 - 94.09}[/tex]
6) b = 9.093954036
Now we round to nearest hundredth
To find the nearest hundredth we have to look at the thousandth place in the thousandth place we have 3 (9.093) that rounds down so,
b = 9.09
HELP!!!! need help with this due tonight pls someone
Answer:
the photos isn't clear!
a transversal shown below.
true or false
Answer:
true. the line is passing through 2 lines at the same time
Step-by-step explanation:
you're welcome :)
What is an equation of the line that passes through the point (-1,-6) and is perpendicular to the line x+6y=6
Answer:
Well x + 6y = 6 can be written 6y = -1x + 6 or y = (-1/6)x + 1. Any line perpendicular to this line will have a slope that is the multiplicative inverse of -1/6 which is +6
So the line passing through( -1,-6) having slope 6 is (y - -6) / (x - -1) = 6 or…………..(y + 6) / (x + 1) = 6 and multiplying both sides by x + 1 gives y+6 = 6(x + 1) and finally subtracting 6 we have y = 6(x+1) - 6 or y = 6x + 0.
This turns out to be a line that passes through the origin having slope 6/1
Step-by-step explanation:
(04.01 MC) Which set of points includes all of the solutions for y = negative four fifths times x plus two?line going through 0 comma 2 and 5 comma negative 2 Group of answer choices (15, 10), (0, 2), and (−10, 10) (−10, 10), (−5, 6), (0, 2), (5, −2), (10, −6) (x, y) for all real numbers (x, negative four fifths times x plus two) for all real numbers
The solutions of a function are the true values of the function
The solutions are: (0,2), (5,-2), (-10, 10) and (-5,6)
The function is given as:
[tex]\mathbf{y = -\frac 45 x + 2}[/tex]
From the question, we understand that the line of the equation passes through points (0,2) and (5,-2)
This means that:
(0,2) and (5,-2) are solutions of the equation
Other possible solutions include (-10, 10) and (-5,6)
This is true because, when these values are substituted in the equation, the result of the equation is true
Hence, the true options are:
(0,2), (5,-2), (-10, 10) and (-5,6)
Read more about solutions of equations at:
https://brainly.com/question/545403
The inequality −3 < x is equivalent to the inequality x > −3.
Si se duplica el radio(2) del círculo anterior, el número de veces que aumenta el area del círculo es?
Answer:
4
Step-by-step explanation:
hii I need help with this I really don't get it and I'm like, bad at Functions and stuff like that, I hope this doesn't trouble you :(
Dans un repère du plan, on donne les points (−2 ; 3), (6 ; 2) (−1 ; 0).
1. Faire une figure
2. Conjecturer où l’on doit placer le point D pour que le quadrilatère ABDC soit un
parallélogramme.
Answer:
faut-il faire les ponits avec le pallergrom de (−2 ; 3), (6 ; 2) (−1 ; 0) ?
Step-by-step explanation:
Help please I’m going to be in big trouble
Trinity already has $135 dollars in her savings account. If she puts $15 per week in her account, write and solve an inequality to find out how many weeks she must save to have at least $480 in her account.
Answer:
let x stand for number of weeks
135+15x>=480
x>=23
Step-by-step explanation:
subtract 135 on both sides
15x>=345
divide by 15 on both sides
x>=23 is your solution
Answer:10
Step-by-step explanation:
10
Help, I'll give Brainliest to the correct answer!!
+400, +50, 50 - 400, 50 + (-400) = -350
+400, -120, -120 - 400, -120 + (-400) = -520
+400, -75 3/4, -75 3/4 - 400, -75 3/4 + (-400) = -475 3.4
-200, +610, 610 - (-200), 610 + 200 = 810
-200, -50, -50 - (-200), -50 + 200 = 150
-200, -500, -500 - (-200), -500 + 200 = -300
-200, 0, 0 + 200, 0 - (-200) = 200
-200, 120 1/2, 120 1/2 - (-200), 120 1/2 + 200 = 320 1/2
I think this might be the answer.
If $150 is shared among 25 people, how much does each person receive?
Solve pls brainliest
Answer:
a is 0.085 b is 19.6%
Step-by-step explanation:
1% = 0.01 so 8.5 = 0.085
0.20 = 20% so 0.196 = 19.6%
[plz help 20 points
i really need help.
Answer:
its A
Step-by-step explanation:
Does someone have this answer???? Thank you so much
Answer: 3
Step-by-step explanation:
We know that p(t) = 11:
11=2t+5
11-5=2t
6=2t
6/2 = t
3 = t
Can someone help me plzzzzz
can someone please help me
Answer:
135=9r
Step-by-step explanation:
"product" means multiplication.
the atomic number of arsenic is 33. what is the electron configuration of an arsenic atom
1s^2 2s^2 2p^6 3s^2 3p^6 3d^10 4s^2 4p^3
5/15 = n/9 someone help me (proportions)
Answer:
n = 3
Step-by-step explanation:
[tex]\frac{5}{15} = \frac{n}{9}[/tex]
Cross multiply
15n = 45
Divide
15n/15 = 45/15
n = 3