Answer:
(0, 8) and (-4, 0)
Step-by-step explanation:
Equation is -2x + y = 8
Manipulate this equation so that it becomes a slope-intercept form of equation
To do this:
Add 2x on both sides
-2x + 2x + y = 2x + 8
y = 2x + 8
Once we have this, 2 points which definitely lie on the line are its x and y intercepts
This is the equation of a line with slope = 2 and x-intercept = 8
x-intercept is y-value when x = 0
We can check by plugging in 0 for x in y = 2x + 8
=> y = 2(0) + 8 = 8
=> Point(0, 8) is one of the ordered pairs
Similarly we can find the x-intercept by setting y = 0 and solving for x
Setting y = 0 in y = 2x + 8
=> 0 = 2x + 8
Switch sides
2x + 8 = 0
Subtract 8 from both sides
2x + 8 - 8 = 0 - 8
2x = -8
Divide both sides by 2
=> 2x/2 = -8/2
x = -4
So (-4, 0) is another point on the line
Two ordered pairs are therefore
(0, 8) and (-4, 0)
The attached graph shows you that it is indeed so
Mr. rivas bought 12 tickets to the high school drama production and spent $40. he purchased a combination of child tickets for $2 each & adult tickets for $6 each, write a system of equations to determine the number of child’s tickets (x) and adult tickets (y) he bought , the solve this system using any method you’d like.
Answer:
x = 8, y = 4
This can also be written as an ordered pair: (8, 4)
Step-by-step explanation:
First, set up a system of equations:
x + y = 12, $2x + $6y = $40
The first equation shows that there are a total of 12 tickets, and the other shows that the total of money for all the tickets adds to $40.
Then, solve by elimination by subtracting twice the first equation from the second to isolate y:
2x + 6y = 40
- (2x + 2y = 24)
0 + 4y = 16
And now we can solve for y:
4y = 16
y = 4
Then, put this back into the original equation to solve for x:
x + y = 12
x + 4 = 12
x = 8
Find an equation to represent a line that goes through (1, 10) and (2, 8).
y = -2x + 12 is the linear equation of the line that passes through the coordinates of points (1, 10) and (2, 8).
What is the equation of line with the given coordinates?The formula for equation of line is expressed as;
y = mx + b
Where m is slope and b is y-intercept.
The slope of a line is expressed as change in y over change in x.
Slope m = (y₂-y₁)/(x₂-x₁)
Given the data in the question;
Point 1 ( 1, 10 )
x₁ = 1y₁ = 10Point 2 ( 2, 8 )
x₂ = 2y₂ = 8First, we determine the slope of the line.
Slope m = (y₂-y₁)/(x₂-x₁)
Slope m = ( 8 - 10 )/( 2 - 1 )
Slope m = (-2)/( 1 )
Slope m = -2
Now, determine the y-intercept b, by substituting the slope and the coordinates of one point into the equation of line formula.
y = mx + b
10 = -2(1) + b
Solve for b
10 = -2 + b
b = 10 + 2
b = 12
Now that we have the slope m and y-intercept b, plug these into y = mx + b to determine the equation of the line.
y = mx + b
y = -2(x) + 12
y = -2x + 12
Therefore, the equation of the line that goes through the given points is y = -2x + 12.
Learn more about equation of line here: brainly.com/question/2564656
#SPJ1
Exponential Growth and Decay : Growth Formula : y = a(1 + r)', Decay Fórmula: y = a(1 – r) 1. Suppose you deposited $5,500.00 at a bank with an annual interest rate of 5%. What would be the amount in the bank after 20 years?
in this case we have that it is growth formula, so we have that r= 0.05 and a =5500. Therefore the formula is
[tex]y=5500\cdot(1.05)^t[/tex]we only need to replace t by 20 and calculate
[tex]y=5500\cdot1.05^{20}=14593.13[/tex]so after 20 years we hace $14593.13 in our bank account
When a number is added to 20 and 5 is subtracted from the number, their product is 150. Find the two possible numbers.
Answer:
24 ajsndkalxndma skwma wjlslaos ndnajala
For whom would a car loan be a better option than a car lease?
A.
Kate frequently changes her cars, constantly switches professions, and detests selling and trading cars.
B.
Brian likes the feeling of owning his own car. He takes good care of it and doesn't like changing cars often.
C.
Joe hates the idea of maintaining his car. He prefers to have a car that is always under warranty.
Brian likes the feeling of owning his own car. He takes good care of it and doesn't like changing cars often is whom a car loan would be a better option than a car lease and is denoted as option B.
What is a Car loan?This is referred to as the total money borrowed which is used in the purchase of a car while on the other hand car lease involves the vehicle being made available to be driven for certain period of time or limit.
Since Brian likes the feeling of owning his own car and doesn't change cars often, then the car loan is best for him as it becomes his after the money or amount to be repaid is completed.
Read more about Car loan here https://brainly.com/question/26011426
#SPJ1
I need this asap!!!!!
Answer:
average rate of change = 23
Step-by-step explanation:
the average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
here [ a, b ] = [ 4, 9 ] , then
f(b) = f(9) = 212 ← from ordered pair in table
f(a) = f(4) = 97 ← from ordered pair in table , then
average rate of change = [tex]\frac{212-97}{9-4}[/tex] = [tex]\frac{115}{5}[/tex] = 23
When $\dfrac{2}{13}$ is written as a decimal, what is the $2000^\text{th}$ digit after the decimal point?
The 2000th digit after the decimal point is 5. See the explanation below.
What is the explanation that resolved the above problem?
First, we divide the fraction to get the decimal number.
2/13 = 0.15384615384
Paying close attention, you'd notice that after the 6th number forms the decimal point, the number forms a loop that repeats again. That is:
0.153846 153846 154...
Hence, to detect the 2000th number,
we divide 2000/6
we are left with 2
(that is 333 x 6 = 1998)
Hence we count two from the decimal and that gives us the 2000th digit.
That is: 5
Learn more about decimal points:
https://brainly.com/question/19053678
#SPJ1
Full Question:
[tex]When $\dfrac{2}{13}$ is written as a decimal, what is the $2000^\text{th}$ digit after the decimal point?[/tex]
Please help I’ll mark you as brainliest if correct!
Answer:
A is 729,2187,6561 and it would be geometric
B is 46,55,64 and is arithmetic
C is 32,36,40 and is arithmetic
1. El rectángulo A mide 12 cm por 3 cm. El Rectángulo B es una copia a escala del Rectángulo A. Seleccione todos los pares de medidas que podrían tener las dimensiones del Rectángulo B.
A. 6 cm por 1,5 cm
B. 10 cm por 2 cm
C. 13 cm por 4 cm
D. 18 cm por 4,5 cm
E. 80 cm por 20 cm
2. El rectángulo A tiene 12 de largo y 8 de ancho. El rectángulo B tiene 15 de largo y 10 de ancho. El rectángulo C tiene 30 de largo y 15 de ancho.
una. ¿Es el Rectángulo A una copia a escala del Rectángulo B? Si es así, ¿cuál es el factor de escala?
b. ¿Es el Rectángulo B una copia a escala del Rectángulo A? Si es así, ¿cuál es el factor de escala?
C. Explica cómo sabes que el Rectángulo C no es una copia a escala del Rectángulo B.
d. ¿Es el Rectángulo A una copia a escala del Rectángulo C? Si es así, ¿cuál es el factor de escala?
1. The pairs of measurements that could have the dimensions of Rectangle B include:
A. 6cm by 1.5cm
D. 18cm by 4.5cm
E. 80cm by 20cm
2. Rectangle A is a scaled copy of rectangle B as the scale factor is 3:2.
Rectangle C isn't a scales factor of rectangle B since they have different ratio.
How to illustrate the information?1. It should be noted that from the information, Rectangle A measures 12 cm by 3 cm. Rectangle B is a scaled copy of Rectangle A.
Therefore, it should be noted that the ratio will be:
= 12 / 3
= 4 / 1
= 4:1
Therefore, the values that will give same ratio will be:
6cm by 1.5cm = 6/1.5 = 4:1
18cm by 4.5cm = 18/4.5 = 4:1
80cm by 20cm = 80/20 = 4:1
In conclusion, the correct options are A, D, and E.
2. Rectangle A is 12 long and 8 wide. The ratio will be:
= 12/8 = 3/2 = 3:2.
Rectangle B is 15 long and 10 wide. The ratio will be:
= 15/10 = 3/2 = 3:2
Rectangle C is 30 long and 15 wide. The ratio will be:
= 30/15 = 2:1
Therefore, rectangle A and B have same scale.
Learn more about rectangles on:
https://brainly.com/question/25292087
Rectangle A measures 12 cm by 3 cm. Rectangle B is a scaled copy of Rectangle A. Select all pairs of measurements that could have the dimensions of Rectangle B.
A. 6cm by 1.5cm
B. 10cm by 2cm
C. 13cm by 4cm
D. 18cm by 4.5cm
E. 80cm by 20cm
I need help on this :)
Explanation
We are given the following equation:
[tex]x^2=-12[/tex]We are required to determine the solution of the given equation.
This is achieved thus:
[tex]\begin{gathered} x^2=-12 \\ \text{ Square root both sides} \\ x=\pm\sqrt{-12} \\ \text{ We know that }\sqrt{-1}=i \\ x=\pm\sqrt{3\times4\times-1} \\ x=\pm\sqrt{3}\times2\times i \\ x=\pm2\sqrt{3}i \\ x=-2\sqrt{3}i\text{ }or\text{ }2\sqrt{3}i \end{gathered}[/tex]The only solution to this equation involves complex numbers. So, there is no real solution.
Hence, the answer is:
[tex]No\text{ }solution[/tex]Suppose that events E and F are independent, P(E) = 0.25, and P(F) = 0.7. What is the P(E and F) ?
the value of P(E and F) is equal to 0.175 when E and F are independent events with P(E) = 0.25 and P(F) = 0.7.
We are given the two events:
E and F
We are also given that these events are independent events and:
P (E) = 0.25
P (F) = 0.7
We need to find:
P (E and F)
We know, that when two events are independent events that is they don't relate to each other, then P(E and F) is given by:
P(E and F) = P (E) × P (F)
P(E and F) = 0.25 × 0.7
P(E and F) = 0.175
Therefore, we get that, the value of P(E and F) is equal to 0.175 when E and F are independent events with P(E) = 0.25 and P(F) = 0.7.
Learn more about independent events here:
https://brainly.com/question/22881926
#SPJ1
The vertices of a triangle are as follows:
(4, 4), (6, 7), and (8, 0)
If you dilate the triangle by a scale factor of 3, what are the vertices of the new triangle?
hurry plsss
The vertices after dilation are (12, 12), (18, 21), and (24, 0)
How to determine the vertices of the new triangle?The vertices of the triangle are given as
(4, 4), (6, 7), and (8, 0)
The scale factor of dilation is given as 3
This means that
k = 3
The vertices of the new triangle are calculated as
Vertices = scale factor * Old vertices
So, we have
[(4, 4), (6, 7), and (8, 0)] * 3
Evaluate
(12, 12), (18, 21), and (24, 0)
Hence, the vertices of the new triangle are (12, 12), (18, 21), and (24, 0)
Read more about dilation at
https://brainly.com/question/3457976
#SPJ1
(b)A sight-seeing ship is stopped in the water for an hour, miles from the shore. Then the captain heads the ship back to the shore at a constant rate. The ship docks at shore for awhile, then returns to the open sea
Solution:
Given that a sight-seeing ship is stopped in the water for an hour, miles from the shore. Then the captain heads the ship back to the shore at a constant rate. The ship docks at shore for awhile, then returns to the open sea.
This implies that that:
A store sells two sizes of fresh wreaths. An 18-inch wreath costs $20, and a 22-inch wreath costs $30. In one day, the number of 22-inch wreaths sold was four more than five times the number of 18-inch wreaths, for a total of $1310. How many of each were sold?
A landlord charged $865 per month to rent an apartment in 2010. The rent increased
at a constant rate and reached $1065 per month in 2018.
a. Write a linear model that represents the monthly rent as a function of the number
of years since 2010.
b. Use the model to estimate the monthly rent in 2021.
Answer:
y = 25x + 865
so the monthly rent in 2021 is 1,140
do you need an explanation or is this fine?
Solve the following equation.
x
5
+
64
x
2
=
0
x
5
+64x
2
=0
The value of x in the equation x⁵ + 64x² = 0 is x = 0 or x = -8 after taking common.
What is a polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
It is given that the polynomial equation is:
x⁵ + 64x² = 0
x²(x³ + 64) = 0
x² = 0 or x³ + 64 = 0
x = 0 or x³ = -64
x = 0 or x = -8
Thus, the value of x in the equation x⁵ + 64x² = 0 is x = 0 or x = -8 after taking common.
Learn more about Polynomial here:
brainly.com/question/17822016
#SPJ1
Helpppppppppppppppppppp!!!!
Given:
Diagram is given.
Measure of X and Y forms a linear pair of supplementary.
[tex]m\angle X+m\angle Y=180\degree[/tex]Solve please please
Popular Problems Algebra Solve for h A=1/2h(b+B)
A = 1/2h (b+B)
h=2Ab+B
Explanation
Popular Problems Algebra Solve for h A=1/2h(b+B)
A= 1/2 h(b+B)
Rewrite the equation as
1/2⋅(h(b+B))=A.
1/2⋅(h(b+B))=A
Multiply both sides of the equation by 2.
2(1/2⋅(h(b+B)))=2A
hb+hB=2A
Factor h out of hb+hB.
h(b+B)=2A
Divide each term in h(b+B)=2A by b+B and simplify.
h=2Ab+B
How is algebra solved?
A General Rule for Equation Solving
Remove parentheses from each side of the equation and combine similar phrases to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.To learn more about A=1/2h(b+B) refer to:
https://brainly.com/question/368195
#SPJ13
Sonya drinks a 32 oz energy drink containing 80 calories per 12 oz how many calories did she drink
Answer:
213
Step-by-step explanation:
First we decide how many ounces 12 has in 32 (2.6)
Then we multiply 2.6 to 80 calories and get 213 calories
if die us rolled once what is the probability of getting a number that is not 3
The rule of probability is
[tex]P(A)=\frac{A}{\text{total}}[/tex]Since the die has 6 numbers, then
The total = 6
Since there are 5 numbers without 3, then
A = 5
Substitute them in the rule above
[tex]P(\text{not}3)=\frac{5}{6}[/tex]The answer is 5/6
Can someone help me with exterior angle theorem?
According to the exterior angle theorem, an external angle's measure is equal to the sum of its remote interior angle's two measurements. The opposite interior angles are another name for the remote interior angles. Where can I determine a triangle's outer angle? In a triangle, how can I determine the interior and outside angles?
Take the total of two interior angles of a triangle that are known and deduct it from 180 to find the internal angle of the triangle.
Simple addition of the triangle's two opposite internal angles will yield the triangle's external angle. 180° minus the inside angle equals each exterior angle. Using this formula requires the knowledge of the corresponding internal angle. Exterior angle = Total.
To learn more about Exterior angle theorem refer to:
https://brainly.com/question/12230244
#SPJ13
Find where line a & tne line that has an undefined slope intersect.
Write the
coordinates of the point.
The coordinates of the point of intersection are (-6, -7)
How to find the point of intersection between the lines?The graph represents the given parameter
On the graph, we can see that there are two lines with the following properties:
Line 1: A slant line that extends indefinitelyLine 2: A vertical line that extends indefinitelyLine 3: A horizontal line that extends indefinitelyThe above properties means that:
Line 1: Has a defined slope i.e. the line ALine 2: Has an undefined slopeLine 3: Has a slope of 0From the graph, we can see that the lines A and the other line meet at a point
The point where these lines meet is referred to as the point of intersection
The coordinates of this point are (-6, -7)
Hence, the coordinates of the point where line a & tne line that has an undefined slope intersect are (-6, -7)
Read more about slopes at
https://brainly.com/question/3493733
#SPJ1
how could you use a graph of a proportional relationship to find any ratio in the the proportional relationship why does this work?
It should be emphasized that a connection is proportional if its graph is a line that passes through its origin.
How should the information be illustrated?If the graph of a connection is a line passing through the origin, the connection is proportionate. If it is not a line or ray that fails to achieve this, the ratio is not proportional.
The equation for the proportionality constant is K = y/x. This is the same equation used to get the slope of a straight line with respect to the origin.
If the graph of a connection is a line or ray that goes through the origin, the relationship is proportional. If the line or ray does not pass through the origin, it is not proportional.
Additionally, if anything is not linear, it is not proportional.
Graph information is available at:
https://brainly.com/question/17267403
#SPJ1
solve for x 7x^2+49=0
Answer:
[tex]7 {x}^{2} + 49 = 0 \\ 7( {x}^{2} + 7) = 0 \\ \frac{7( ({x}^{2} + 7) }{7} = \frac{0}{7} \\ {x}^{2} + 7 = 0 \\ {x}^{2} = - 7[/tex]
NOTE THERE IS NO SOLUTION FOR THE GIVEN EQUATION SINCE THE SQUARE OF ANY NUMBER CANNOT GIVE A NEGATIVE NUMBER.
THE SQUARE OF ANY NUMBER WHETHER IT'S POSITIVE OR NEGATIVE ALWAYS GIVES A POSITIVE NUMBER.
GOODLUCK!!
Find the first derivative.
Answer: y’ = 2/3 x^1/2 - 2/ sqrt of x - 5/2x^2/3
I’m given an answer but don’t know how to get it.
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{ \sqrt{x} (2x - 4) -( \frac{{x}^{2} - 4x + 5) }{2 \sqrt{x} } )}{x } [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{ {x}^{2} - 4x + 5 }{ \sqrt{x} } [/tex]
We know, division rule of differentiation :
[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{u}{v} [/tex]
then,
[tex]\qquad\displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{v\frac{du}{dx} - u \frac{dv}{dx} }{(v) {}^{2} } [/tex]
So, let's do the same in given equation :
[tex]\qquad\displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{ \sqrt{x} \frac{d}{dx}(x {}^{2} - 4x + 5) - ( {x}^{2} - 4x + 5) \frac{d}{dx}( \sqrt{x} ) }{( \sqrt{x} ) {}^{2} } [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{ \sqrt{x} (2x - 4) -( {x}^{2} - 4x + 5) \frac{1}{2 \sqrt{x} } }{x } [/tex]
[ This is the required Answer, but you can simplify it however you want according to the choices given ]
[tex]\qquad\displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{x \bigg( \frac{\sqrt{x} (2x - 4)}{x} -( {x}^{2} - 4x + 5) \frac{1}{2x \sqrt{x} } \bigg)}{x } [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{\sqrt{x} (2x - 4)}{x} -( {x}^{2} - 4x + 5) \frac{1}{2x \sqrt{x} } [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{(2x - 4)}{ \sqrt{ x}} - \frac{( {x}^{2} - 4x + 5) }{2 \sqrt{x {}^{3} } }[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
The graph illustrates a normal distribution for the prices paid for a particular model of HD television. The mean price paid is $2000 and the standard deviation is $75.
The approximate percentage of buyers who paid between $1925 and $2075 is; 68%
The approximate percentage of buyers who paid between $1925 and $2000 is; 34%
How to Interpret Normal Distribution Graph?We are given;
Mean = $2000
Standard Deviation = $75
1) We want to find the approximate percentage of buyers who paid between $1925 and $2075
The formula that is used to calculate the z-score of a a normal distribution is;
z = (x' - μ)/σ
where;
z is z-score
x' is sample mean
μ is population mean
σ is standard deviation
For a payment of 1925;
z = (1925 - 2000)/75 = -1
For a payment of2075;
z = (1925 - 2000)/75 = 1
Thus, this is 1 standard deviation from the mean.
Thus, this is a percentage of 68%
2) We want to find the approximate percentage of buyers who paid between $1925 and $2000?
For a payment of 1925;
z = (1925 - 2000)/75 = -1
For a payment of 2000;
z = (2000 - 2000)/75 = 0
This translates to a percentage of (1/2) * 68% = 34%
Read more about Normal Distribution at; https://brainly.com/question/4079902
#SPJ1
Missing options are;
1) What is the approximate percentage of buyers who paid between $1925 and $2075?
2) What is the approximate percentage of buyers who paid between $1925 and $2000?
I need help with the 16
NSWER
EXPLANATION
In a isometry the distances between points are conserved, so the image of segment PQ has to have the same length as segment PQ.
When we have a translation defined by a vector the x-coordinate of the vector tells the horizontal translation and the y-coordinate the vertical translation.
For this problem, if the vector is <3, 5>, we have to translate each point 3 units to the right and 5 units up.
[tex]Q(-2,-2)\to Q^{\prime}(-2+3,-2+5)=(1,3)[/tex][tex]P(-4,-4)\to P^{\prime}(-4+3,-4+5)=(-1,1)[/tex]The endpoints of the image segment are Q'(1, 3) and P'(-1, 1)
During the month, Fisher Company's Work in Process inventory account was credited for $120,500, which represented the Cost of Goods Manufactured for the month. Only one job remained in process on May 31; this job had been charged with $9,600 of applied overhead cost. The amount of direct materials cost in the unfinished job would be:
The amount of direct materials cost in the unfinished job would be $97600.
What is direct material cost?The price of direct materials is directly related to the unit of production and is immediately identifiable. For instance, the price of glass is a direct material expense in the production of light bulbs. The primary component needed for the production of commodities or products was material. Costs of raw materials or components used directly in the production of goods are referred to as direct material costs. For instance, if Company A manufactures toys, the cost of the plastic used to build the toys would be an example of a direct material cost.
Given Data
Work in Process inventory account was credited for $120,500.
charged with $9,600 of applied overhead cost.
Direct material cost = Work in progress - Overhead cost - Direct labor
Direct labor = 9600 ×[tex]\frac{100}{75}[/tex]
Direct labor = 12800
Direct material cost = 120000 - 9600-12800
Direct material cost = 97600
The amount of direct materials cost in the unfinished job would be $97600.
To learn more about direct material cost, visit:
https://brainly.com/question/15012260
#SPJ9
number of odd number outcomes when a die is rolled
Answer:
Explanation:
A die has 6 faces numbered 1 to 6.
The sample space when a die is rolled is:
[tex]\lbrace1,2,3,4,5,6\rbrace[/tex]Thus, the number of odd number outcomes when a die is rolled is:
What are the next two terms after -13, 8, -5, 3,-2
The next two terms in the sequence, -13, 8, -5, 3,-2 is 1 and -1.
What are the next two terms?The mathematical operations that would be used to determine the next two terms are addition and subtraction. Addition is used to determine the sum of two or more numbers. Subtraction is used to determine the difference between two or more numbers.
The first step is to determine the relationship between the numbers in the sequence. Looking at the numbers, it can be seen that the the difference between the first number and the second number gives the third number.
-13 + 8 = -5
-5 + 3 = -2
3 - 2 = 1
-2 + 1 = -1
To learn more about mathematical sequence, please check: https://brainly.com/question/26578277
#SPJ1