Answer:
[tex]\bf\mathsf{X-intercept=(\frac{25}{3},\:0)}[/tex]
Y-intercept = (0, -5)
Step-by-step explanation:
Given the linear equation in standard form, 3x - 5y = 25, for which we must determine its x- and y-intercepts.
It is essential to understand what the intercepts mean relative to the given equation and its location on the graph.
X-intercept:The x-intercept is the point where the graph crosses the x-axis. Hence, its coordinates are often represented by (a, 0). Thus, the x-intercept provide the value of x when the value of the y-coordinate is 0.
Now, we can solve the x-intercept by setting y = 0:
3x - 5y = 25
3x - 5(0) = 25
3x - 0 = 25
3x = 25
Divide both sides by 3 to solve for x:
[tex]\large\mathsf{\frac{3x}{3}\:=\:\frac{25}{3}}[/tex]
[tex]\bf\mathsf{x=\:\frac{25}{3}}[/tex]
Therefore, [tex]\bf\mathsf{X-intercept=(\frac{25}{3},\:0)}[/tex] .
Y-intercept:The y-intercept is the point where the graph crosses the y-axis. Hence, its coordinates are often represented by (0, b ). Thus, the y-intercept provide the value of y when the value of the x-coordinate is 0.
Now, we can solve the y-intercept by setting x = 0:
3x - 5y = 25
3(0) - 5y = 25
0 - 5y = 25
-5y = 25
Divide both sides by -5 to solve for y:
[tex]\large\mathsf{\frac{-5y}{-5}\:=\:\frac{25}{-5}}[/tex]
y = -5
Therefore, the y-intercept is (0, -5).
need help with this….
Answer:
omg im still dont no
Step-by-step explanation:
sorry
Find the component of u along v.
u= (-4,6), and v=[tex](1\sqrt{2}, 1\sqrt{2} )[/tex]
u. The distance we travel in the direction of v, while traversing u is called the component of u with respect to v and is denoted compvu. The vector parallel to v, with magnitude compvu, in the direction of v is called the projection of u onto v and is denoted projvu.
Answer:
[tex]comp_vu=\sqrt{2}[/tex]
Step-by-step explanation:
The component of vector u along v is [tex]comp_vu=\frac{u\bullet v}{||v||}[/tex] where [tex]u\bullet v[/tex] is the dot product and [tex]||v||[/tex] is the magnitude of vector v.
The dot product is [tex]u\bullet v=u_1v_1+u_2v_2=(-4)(1\sqrt{2})+(6)(1\sqrt{2})=2\sqrt{2}[/tex]
The magnitude of vector v is [tex]||v||=\sqrt{v_1^2+v_2^2}=\sqrt{(1\sqrt{2})^2+(1\sqrt{2})^2}=\sqrt{2+2}=\sqrt{4}=2[/tex]
Therefore, the component of vector u along v is [tex]comp_vu=\frac{u\bullet v}{||v||}=\frac{2\sqrt{2}}{2}=\sqrt{2}[/tex]
Find the distance between the points
(−5,2) and (9.2)
Step-by-step explanation:
Formula Used
By distance formula,
d (A,B)=√[(x₁ - x₂)² + (y₁ - y₂)²][tex] \sf \longmapsto \: D = √(x2-x1)²+(y2-y1)²[/tex]
[tex] \sf \longmapsto= √(9+5)²+(2-2)²[/tex]
[tex] \sf \longmapsto= = √14²+09[/tex]
[tex] \sf \red \longmapsto \boxed{= 14}[/tex]
The weekly demand for a product has a normal distribution with a mean of 1,000 and a standard deviation of 200. The current on-hand inventory is 750 and no deliveries will be occurring in the next week
Using the normal distribution, it is found that there is a 0.8943 = 89.43% probability of a demand above 750.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 1000, hence [tex]\mu = 1000[/tex].The standard deviation is of 200, hence [tex]\sigma = 200[/tex]The probability of a demand above 750 is one subtracted by the p-value of Z when X = 750, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{750 - 1000}{200}[/tex]
[tex]Z = -1.25[/tex]
[tex]Z = -1.25[/tex] has a p-value of 0.1057.
1 - 0.1057 = 0.8943
0.8943 = 89.43% probability of a demand above 750.
A similar problem is given at https://brainly.com/question/24663213
Gia đình bác Lan hai năm liền thu hoạch được 560 tạ thóc. Năm thứ hai bác Lan thu hoạch hơn năm thứ nhất 60 tạ thóc. Hỏi mỗi năm bác Lan thu hoạch bao nhiêu kg thóc?
Answer:
năm thứ nhất: 250 tạ = 17000 kg
năm thứ hai: 310 tạ = 21080kg
Step-by-step explanation:
Use the method of symmetry to find the extreme value of each quadratic function and the value of x for which it occurs k(x)=(300+10x)(5-0.2x)
The value of [tex]x[/tex] associated to the extreme value of the quadratic equation [tex]k(x) = (300+10\cdot x)\cdot (5-0.2\cdot x)[/tex]. The extreme value is [tex]k\left(-\frac{5}{2} \right) = \frac{3025}{2}[/tex].
First, we need to expand the polynomial as follows:
[tex]k(x) = (300+10\cdot x)\cdot (5-0.2\cdot x)[/tex]
[tex]k(x) = 300\cdot (5-0.2\cdot x)+10\cdot x\cdot (5-0.2\cdot x)[/tex]
[tex]k(x) = 1500-60\cdot x +50\cdot x -2\cdot x^{2}[/tex]
[tex]k(x) = -2\cdot x^{2}-10\cdot x +1500[/tex]
[tex]-2\cdot x^{2}-10\cdot x +[1500-k(x)] = 0[/tex]
By the quadratic formula, we know that a value of [tex]x[/tex] pass through the axis of symmetry of the parabola if and only if the discriminant is zero:
[tex]-100-4\cdot (-2)\cdot [1500-k(x)] = 0[/tex]
And the value of [tex]x[/tex] is:
[tex]x = -\frac{(-10)}{2\cdot (-2)}[/tex]
[tex]x = -\frac{5}{2}[/tex]
And the extreme value is:
[tex]k\left(-\frac{5}{2} \right) = -2\cdot \left(-\frac{5}{2} \right)^{2}-10\cdot \left(-\frac{5}{2} \right) + 1500[/tex]
[tex]k\left(-\frac{5}{2} \right) = \frac{3025}{2}[/tex]
The value of [tex]x[/tex] associated to the extreme value of the quadratic equation [tex]k(x) = (300+10\cdot x)\cdot (5-0.2\cdot x)[/tex]. The extreme value is [tex]k\left(-\frac{5}{2} \right) = \frac{3025}{2}[/tex].
We kindly invite to check this question on symmetry: https://brainly.com/question/17759737
if you invest $10,000 at 10% interest account compounded monthly, how much money you will have in 20 years?
Answer:
$73280.74
Step-by-step explanation:
We will use the compound interest formula to find the answer
A = P (1 + r/n)^(nt)
Where A is the total amount of money, P is the principal investment amount (how much you put in initially), R is the interest rate, N is the number of times interest is applied per period and T is the number of time periods elapsed.
$10,000 would be the principal investment amount
10% would be the interest rate
12 would be the number of times interest is applied per period (since it is paid monthly)
and 20 would be the number of time periods (as it's the number of years)
A = 10000(1+0.1/12)^(12*20)
A = 10000(7.3280736)
A = 73280.74
In the diagram, AABC = AWRS. What is the
perimeter of AWRS?
10 units
11 units
12 units
13 units
Answer:
12 units
Step-by-step explanation:
Both triangles have the same perimeter, so we can figure out 1 and have the answer for both.
The legs of triangle AABC are 3 and 4, so we can use the Pythagorean Theorem to figure out the other side.
3² + 4² =
9 + 16 = 25
√25 = 5
To find the perimeter, just add the three sides.
3 + 4 + 5 = 12 units
The perimeter of the triangle WRS is 12 units, Option C is correct.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
As we observe the two triangles ABC and WRS
The given triangles are similar triangles.
So if we find the perimeter of any triangle then it will be equal to other triangle.
From the triangle ABC
AB =3 units
BC =4 units
By pythagoras theorem let us find AC
AB²+BC²=AC²
3²+4²=AC²
9+16=AC²
25=AC²
Take square root on both sides
AC=5 units
To find the perimeter we need to add the three sides.
3 + 4 + 5 = 12 units
Hence, the perimeter of the triangle WRS is 12 units, Option C is correct.
To learn more on Triangles click:
https://brainly.com/question/2773823
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a rectangular prism has a width of 8cm, a height of 8cm and a depth of 10cm. what’s the volume of the prism?
Answer:
640 cm^3
Step-by-step explanation:
Volume of a rectangular prism is determined by:
depth * width * height
Here our depth, width, and height are:
10, 8, and 8
So our equation is:
10 * 8 * 8 = 640 cm^3
b2 + 3 + 2b2 + 4-7
Combine like terms
Answer:
3b^2
Step-by-step explanation:
Add the numbers
^2 + 3 + 2^2 + 4 − 7
b^2 + 0 + 2b^2
Add the zero
b^2 + 2b^2
Combine like terms
3b^2
Complete this equation so that it has infinitely many solutions.
2(X-1/4)=6(1/3x-_____)
Answer:
1/12 goes in the blank
Step-by-step explanation:
For there to be infinitely many solutions, the left and right sides must be identical when simplified.
x -1/4 = 3(1/3x - __) . . . . divide by 2
x -1/4 = x -3(__) . . . . . . . eliminate parentheses
-1/4 = -3(__) . . . . . . . . . subtract x
1 = 12(__) . . . . . . . . . . . multiply by -4
1/12 = __ . . . . . . . . . . divide by 12
The equation with infinitely many solutions is ...
2(x -1/4) = 6(1/3x - 1/12 )
Use the formula for continuous compounding with the data from the original example: $10,000 invested at 3% for 1 year. Record the amount to 5 decimal places. Use a calculator.
Answer:
$10,304.54534
Step-by-step explanation:
The compound interest formula is ...
A = Pe^(rt)
Substituting the given values, we get ...
A = $10,000·e^(0.03·1) ≈ $10,304.54534
y=1/2 (6x+2)-2 please show work and put in y=mx+b
Answer:
y 3x - 1
Step-by-step explanation:
y = 1/2(6x + 2) - 2 change 1/2 to .5
y = .5(6x + 2) - 2
y = .5(6x) + .5(2) - 2 Distributive property
y = 3x + 1 - 2 Multiplication
y = 3x - 1 Simply
2. Find the distance between (2,-5) and (-3, 4).
Answer:
this is the correct answer happy
30 points!
Evaluate the following expression if B = 114
1/2B + 58 x 2
Step-by-step explanation:
1/2(114)+(58*2)
1/228+(116)
1/228+116/1=
26676/228=117
Order these numbers from least to greatest.
0.3
0.7
2.3
-0.5
-4.5
Answer:
Order from Least to Greatest
-4.5 < -0.5 < 0.3 < 0.7 < 2.3
Answer:
-4.5, -0.5, 0.3, 0.7, 2.3
write the number that is one hundredth more than 321.555
Answer:
321.565
Step-by-step explanation:
hundredths is the second digit behind the decimal point so that means 5+1 is 6 Hope this helps
What all are the factors off 453,738
Answer:
1, 2, 3, 6, 47, 94, 141, 282, 1609, 3218, 4827, 9654, 75623, 151246, 226869, 453738
Step-by-step explanation:
I looked it up
8.
Which of the following is the graph of the equation y = 3x2 − 4x − 2?
Answer:
Graph C
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex: ( 2 /3 , − 10 /3 )
Focus: ( 2 /3 , − 13 /4 )
Axis of Symmetry: x = 2 /3
Directrix: y = − 41 /12
x y
− 1 5
0 − 2
2 3
− 10 3
2 2
3 13
Write 0.3% percent as a decimal, please explain how you get it in order to get marked
Answer:
The answer is 0.003
Step-by-step explanation:
In order to convert a percentage into a decimal you have to move the decimal two places to the left; just like how you turn a decimal into a percentage by moving the decimal two places to the right.
14.95/65 what is the quotient
Answer:
0
Step-by-step explanation:
Hope this helps!
(Brainliest is appreciated)
Write each fraction as a percent 2/16
Answer:
100÷16=6.25 then 6.25×16=100 then 6.25×2=12.5
Step-by-step explanation:
answer is 12.5 precent
what is the largest 6 digit whole number number less than three-quarters of one million that you can make with the digits 4, 7, and 5 using each digit twice
Answer:
747554
Step-by-step explanation:
The second number must be less than 5. All of the others are arranged by value.
Please help for 15 points...............................
Answer:
-4
Step-by-step explanation:
When x increased by 1 units, y has decreased by 4 units. So it's -4.
Or if we use y1-y2/x1-x2
= 17 - (-3) / -2-3 = (17+3)/-5
20/-5 = -4
Answer:
-4
pick two points and divide the difference of the y coordinates by the difference of the x coordinates so:
(17-13)/(-2-(-1)) = 4/(-1) = -4
the sum of two numbers is 200 and the two numbers are in a ratio of 4:6, what is the larger number.
Step-by-step explanation:
x + y = 200
x : y = 4 : 6
x + y = 200
y = 200 - x
x : y = 4 : 6
x : (200 - x) = 4 : 6
6.x = 4(200 - x)
6x = 800 - 4x
10x = 800
x = 800/10
x = 80
y = 200 - x
y = 200 - 80
y = 120
(x,y) = (80,120)
Which of the following point-slope form equations could be produced with the points (4, -5) and (-4, -3)?
Answer:
[tex]y + 5 =- \frac{1}{4} (x-4)[/tex]
Step-by-step explanation:
You will find the slope-intercept form first, and then you can find the point slope form of the equation
Mrs.Diamond needs 35 pounds of chicken for a recipe.How much will the cost
34 dollars worth of chicken
HURRY PLZ what is the product of 25 and 46?
OST- 0
6T- 0
OST 0
Answer:
1150
Step-by-step explanation:
Find the percent decrease. Round to the nearest percent.
From 146 pounds to 139 pounds
The percent decrease is
%.
a cylinder has a base diameter of 16 cm and a height of 19 cmwhat is its volume in cubic centimeters?
Answer:
3820.18cm³ i know it is right
Step-by-step explanation:
brainlest for me please
