Answer:
Step by Step Solution
Rearrange:
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
STEP
1
:
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
Graph of a Straight Line :
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 1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.000 - 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 = 5.00000
a farmer has 300 turkeys 100 cattles 7 sheep 61 swine and 402 chickens. What percent of the farmers livestock is swine
Answer:
7.011%
Step-by-step explanation:
61/(300+100+7+61+402) = 0.07011
Multiply the result of that by 100 to get 7.011%.
10 Over 12 EndFraction divided by StartFraction 4 Over 6 EndFraction. What is the quotient?
Answer:
5/4
Step-by-step explanation:
[tex] \frac{10}{12} \div \frac{4}{6} \\ \\ = \frac{10}{12} \times \frac{6}{4} \\ \\ = \frac{5}{2} \times \frac{1}{2} \\ \\ = \frac{5}{4} [/tex]
A bag contains 8 red marbles, 6 blue marbles and 3 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be blue?
Answer: 0.29
Step-by-step explanation:
The probability of the first being blue is 6/17, the second is 5/16 and the third is 4/15. Multiply these together to get the total probability:
6/17 x 5/16 x 4/15 = .029
787 times 2554 equals?
Answer:
787 times 2554 equals 2,009,998
Step-by-step explanation:
Hope that helps!
The distance from the origin to the point (-18,24) is
Origin = [tex](0, 0)[/tex]
Point = [tex](-18, 24)[/tex]
Distance = [tex]\sqrt{(24 - 0)^2 + (-18 - 0)^2} = \sqrt{24^2 + (-18)^2} = \sqrt{576 + 324} = \sqrt{900} = 30[/tex]
The distance from the origin to the point (-18, 24) is 30 units.
To find the distance from the origin (0, 0) to the point (-18, 24), we can use the distance formula in two-dimensional Cartesian coordinates.
The distance formula between two points [tex](x_1, y_1) and\ (x_2, y_2)[/tex] is given by:
[tex]\[d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\][/tex]
In this case, the coordinates of the origin are (0, 0) and the coordinates of the point are (-18, 24). Plugging these values into the distance formula, we get:
[tex]\[d = \sqrt{(-18 - 0)^2 + (24 - 0)^2} = \sqrt{(-18)^2 + 24^2} = \sqrt{324 + 576} = \sqrt{900} = 30\][/tex]
So, the distance from the origin to the point (-18, 24) is 30 units.
To know more about distance, refer here:
https://brainly.com/question/30717348
#SPJ2
PLS SOMEONE HELPD MEEEE
Answer:
C
Step-by-step explanation:
If you put 2 different values in for x and it happens 2 times, the eqyations must be equivilent :)
Have an amazing day!!
Please rate and mark brainliest!
Just provide answers please... thank you!
Answer:
Probability of drawing a yellow candy: 10/36= 5/18
Something besides a yellow candy: for ecample: the red candies: 8/36= 2/9
Step-by-step explanation:
Probability of drawing yellow candies equals the sum of candies over yellow candies.
Round 2.754 to the nearest whole number
Answer:
3
Step-by-step explanation:
3 because their is a rule which states: 1-4 stay on the floor 5-9 climb up the vine this means if it is 4 or less than round down and if it is 5 or more round up
the functions f and g are defined by f(x)=2x+1 and g(x)= 5x-1. find
a. fg(3)
The population of a Bee Colony being monitored is given by P(t)=1000+500e−0.8t, where t is the time in months. How many months will it take for the population to reach 1009? Write your answer as an exact answer.
Answer:
me sandip is a jokeerrrr..........
Step-by-step explanation:
no god sucks......... **** brainly
please answer this question
For the integral ∫asin(x)dx, use integration by parts ∫udv=uv−∫vdu.
Let u=asin(x) and dv=dx.
Then du=(asin(x))′dx=[tex]\rm \dfrac{dx}{ \sqrt{1 - {x}^{2} } } [/tex] and v=∫1dx=x
So,
[tex] \rm{\int{\operatorname{asin}{\left(x \right)} d x}}=\color{h}{\left(\operatorname{asin}{\left(x \right)} \cdot x-\int{x \cdot \frac{1}{\sqrt{1 - x^{2}}} d x}\right)}=\color{h}{\left(x \operatorname{asin}{\left(x \right)} - \int{\frac{x}{\sqrt{1 - x^{2}}} d x}\right)} \\ [/tex]
Let u=1−x2.
Then du=(1−x2)′dx=−2xdx and we have that xdx=−du/2.
The integral can be rewritten as
[tex] \rm x \operatorname{asin}{\left(x \right)} - \color{g}{\int{\frac{x}{\sqrt{1 - x^{2}}} d x}} = x \operatorname{asin}{\left(x \right)} - \color{j}{\int{\left(- \frac{1}{2 \sqrt{u}}\right)d u}} \\ [/tex]
Apply the constant multiple rule ∫cf(u)du=c∫f(u)du with c=-1/2 and f(u)=[tex] \frac{1}{ \sqrt{u} } [/tex]
[tex] \rm x \operatorname{asin}{\left(x \right)} - \color{h}{\int{\left(- \frac{1}{2 \sqrt{u}}\right)d u}} = x \operatorname{asin}{\left(x \right)} - \color{h}{\left(- \frac{\int{\frac{1}{\sqrt{u}} d u}}{2}\right)} \\ [/tex]
Apply the power rule
[tex] \rm\int u^{n}\, du = \frac{u^{n + 1}}{n + 1} \\ [/tex]
with n=−1/2
[tex] \rm x \operatorname{asin}{\left(x \right)} + \frac{\color{h}{\int{\frac{1}{\sqrt{u}} d u}}}{2}=x \operatorname{asin}{\left(x \right)} + \frac{\color{j}{\int{u^{- \frac{1}{2}} d u}}}{2}=x \operatorname{asin}{\left(x \right)} + \frac{\color{j}{\frac{u^{- \frac{1}{2} + 1}}{- \frac{1}{2} + 1}}}{2}=x \operatorname{asin}{\left(x \right)} + \frac{\color{j}{\left(2 u^{\frac{1}{2}}\right)}}{2}=x \operatorname{asin}{\left(x \right)} + \frac{\color{h}{\left(2 \sqrt{u}\right)}}{2} \\ [/tex]
[tex] \rm Recall \: that \: u=1− {x}^{2} [/tex]
[tex] \rm x \operatorname{asin}{\left(x \right)} + \sqrt{\color{re}{u}} = x \operatorname{asin}{\left(x \right)} + \sqrt{\color{rd}{\left(1 - x^{2}\right)}} \\ [/tex]
Therefore,
[tex] \rm\int{\operatorname{asin}{\left(x \right)} d x} = x \operatorname{asin}{\left(x \right)} + \sqrt{1 - x^{2}}+C \\ [/tex]
1. The Tigers have won 12 out of 15 hockey games. If
they play 5 more games, would you expect them to win 4? Explain your thinking.
You would use the ratio to solve this problem.
12:15=4:5
Since the ratio of expected numbers of games they would win to the total number of games they will play is equal to the ratio of number of games they won to the total number of games they played, the answer would be YES.
Scientists are studying a population of 20 bugs and tracking the population,y, as it grows over time,t, in weeks. If the population grows by at least 6.1% each week, which system of inequalities represents the scenario?
Answer:
I am pretty sure it is
y >_ 20(0.061)^t
t >_ 0
Step-by-step explanation:
The area of a rectangular painting is 6600 cm?.
If the width of the painting is 75 cm, what is its length?
Answer:
length = 88 cm
Step-by-step explanation:
Area of a rectangle = width × length
Given:
Area = 6600 cm²width = 75 cmSubstituting these values into the equation:
⇒ 6600 = 75 × length
⇒ length = 6600 ÷ 75 = 88 cm
Length be L
Breadth=B=75[tex]\\ \rm\rightarrowtail area=6600[/tex]
[tex]\\ \rm\rightarrowtail 75L=6600[/tex]
[tex]\\ \rm\rightarrowtail L=6600/75[/tex]
[tex]\\ \rm\rightarrowtail L=88cm[/tex]
how do I know my multiples
One way to make it easier to multiply, pick a number from a multiplication problem. Then, add the amount of times of the other number.
Example:
6 x 8 = ?
8 = Chosen Number
So, add 8, 6 times.
8 + 8 + 8 + 8 + 8 + 8 = ?
? = 48
Which, 6 x 8 does equal 48.
What is the solution to the equation 2x+4 - 12 =20?
A X=0
B X= 1
C X=2
D x=9
Answer:
none
Step-by-step explanation:
plug it in, it doesnt add up
The Harlem Globetrotters are known for spinning basketballs on one finger. If the diameter of a basketball is 9.5 inches, what is the surface area of the globetrotters must work with? Round to the nearest tenth.
30 points please show your work thank you so so so much
The surface area of the globetrotters must work with is 283.4 square inches
The surface area of the sphereThe formula for calculating the surface area of a sphere is expressed as:
S = 4πr²
where r is the radius of the sphere
Given that
d = 9.5in
r = 4.75in
Substitute the given parameters into the formula
S = 4π(4.75)²
S = 283.385 square inches
The surface area of the globetrotters must work with is 283.4 square inches
Learn more on the surface area of the sphere here: https://brainly.com/question/1293273
Circle A has a radius of 6.0 cm. The shortest distance between B and C on the circle is 5.4 cm.
What is the approximate area of the shaded portion of circle A?
16.2 cm²
21.0 cm²
37.7 cm²
113.1 cm²
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}lr[/tex]
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}(5.4)(6)[/tex]
[tex]\\ \sf\longmapsto Area=16.2cm^2[/tex]
What is the most appropriate situation for the z-test?.
find the missing angle measure
Answer:
<1 = 77
<2 = 103
<3 = 77
Step-by-step explanation:
<1 = 77 (180-103) by Linear Pair Postulate
<2 = 103 by Vertical Angles Theorem
<3 = 77 by Vertical Angles Theorem
evaluate abcd if a =3,b=-2,c=4,and d=1
Answer:
abcd = -24
Step-by-step explanation:
First, remember that the default operation in algebra is multiplication, so we have to multiply a and b and c and d together to get the answer:
abcd = a × b × c × d
Plugin your values to get the total of:
3 x -2 × 4 × 1 = -24
So the answer to this problem is -24
hello, I need the answer asap
Answer:
x=1/3
Step-by-step explanation:
If t(d) = 3d + 1 and d(n) = 4n + 2, what is t(d(n)) in terms of n?
Answer:
t(d(n)) = 12n + 7
Step-by-step explanation:
t(d) = 3d + 1 d(n) = 4n + 2t(d(n)) = t(4n + 2)
Substitute the function d(n) into the function t(d) for the variable d.
t(4n + 2) = 3(4n + 2) + 1
12n + 6 + 1 12n + 7t(d(n)) = 12n + 7
1/10 by 5.08 how do I work this out in simplest form
Answer:
10x5.08
Step-by-step explanation:
10. A parabola has an axis of symmetry x = 2 and one of the x-intercepts is x =5. Where is the
other x-intercept?
Answer:
-1
Step-by-step explanation:
5-2=3
2-3=-1
Need help please please
Answer:
B
Step-by-step explanation:
Reflects over x axis then translates down and left.
i will give brainliest
Answer: -3
Step-by-step explanation:
I NEED HELP ASAP.Choose the correct measurement of the pushpin to the nearest 1/8 inch.
A. 7/8 inch
B. 5/8 inch
C. 6/8 inch
D. 3/8 inch
HELP mee please
Answer: 3/8
Step-by-step explanation:
i think it’s 3/8 because I’m also working on this one and it adds up to 3/8 because as you see there is 3 sections. (I’m not good at explaining so I added a photo)
Answer:
3/8
Step-by-step explanation:
me class said so
Test the hypothesis that the mean value of Weight1 is the same for Managers and Supervisors in the population. At 5% level of significance the conclusion of this test is ______. Fail to reject H0 and conclude that the mean value of Weight1 is the same for Managers and Supervisors in the population. Fail to reject H0 and conclude that the mean value of Weight1 is not the same for Managers and Supervisors in the population. Reject H0 and conclude that the mean value of Weight1 is the same for Managers and Supervisors in the population. Reject H0 and conclude that the mean value of Weight1 is the not the same for Managers and Supervisors in the population.
Answer:
hello the data required is missing attached below is the missing data and solution
Answer : Fail to reject H[tex]_{0}[/tex] and conclude that the mean value of weight 1 is the same for Managers and supervisors in the population
Step-by-step explanation:
At 5% level of significance the conclusion of this test is Fail to reject H[tex]_{0}[/tex] and conclude that the mean value of weight 1 is the same for Managers and supervisors in the population.
The value of the test statistic tcal = 0.7402 lies between the critical values
±[tex]t_{\frac{0.05}{2.2} }[/tex] = ±2.086
attached below is the detailed solution and missing part of the question
Dan invests $8.911 in a retirement account with an interest rate of 7.71%
compounded continuously. What will the account balance be in 20 years.
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$8911\\ r=rate\to 7.71\%\to \frac{7.71}{100}\dotfill &0.0771\\ t=years\dotfill &20 \end{cases} \\\\\\ A=8911e^{0.0771\cdot 20}\implies A=8911e^{1.542}\implies A\approx 41649.38[/tex]