[tex](\stackrel{x_1}{8}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-4}-\stackrel{y1}{(-4)}}}{\underset{\textit{\large run}} {\underset{x_2}{2}-\underset{x_1}{8}}} \implies \cfrac{-4 +4}{-6} \implies \cfrac{ 0 }{ -6 } \implies \text{\LARGE 0}[/tex]
Use the quadratic formula to find the exact solutions of x2 − 5x − 2 = 0.
Answer:
Solutions given:
given equation is
x²-5x-2=0
comparing above equation with ax²+bx+c,we get
a=1
b=-5
c=-2
By using quadratic equation
x=[tex] \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
x=[tex] \frac{ 5± \sqrt{ {-5}^{2} - 4*1*-2}}{2*1} [/tex]
x=[tex] \frac{ 5± \sqrt{ 25+8}}{2*1} [/tex]
x=[tex] \frac{ 5± \sqrt{ 33 }}{2} [/tex] is a required answer.
Answer:
[tex]x=\dfrac{5 \pm \sqrt{33}}{2}[/tex]
Step-by-step explanation:
Quadratic Formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]
Given equation:
[tex]x^2-5x-2=0[/tex]
Comparing the given equation with [tex]ax^2+bx+c=0[/tex] to find the values of a, b and c:
a = 1b = -5c = -2Substitute these values into the quadratic formula and solve for x:
[tex]\implies x=\dfrac{-(-5) \pm \sqrt{(-5)^2-4(1)(-2)}}{2(1)}[/tex]
[tex]\implies x=\dfrac{5 \pm \sqrt{25+8}}{2}[/tex]
[tex]\implies x=\dfrac{5 \pm \sqrt{33}}{2}[/tex]
What is
-3/5
as a decimal?
Enter your answer in the box.
Answer:
-0.6
Step-by-step explanation:
minus 3 divided by 5 equals minus 0.6
What is (f + g)(x)?
f(x) = -3x² + 3
g(x) = −3x
Answer:
Step-by-step explanation:
(f.g)(x)=[tex]-3*(-3x)^{2}+3=-27x^{2}+3[/tex]
Classify each variable as qualitative or quantitative.
1. Marital status of nurses in a hospital.
2. Time it takes to run a marathon.
3. Weights of lobsters in a tank in a restaurant.
4. Colors of automobiles in a shopping center parking lot.
5. Ounces of ice cream in a large milkshake.
6. Capacity of the NFL football stadiums.
7. Ages of people living in a personal care home.
Quantitative variable are - 2,3,5,7 and Qualitative are 1, 4 ,6
1. Marital status of nurses in a hospital-qualitative
2. Time it takes to run a marathon-quantitative
3. Weights of lobsters in a tank in a restaurant- quantitative
4. Colors of automobiles in a shopping center parking lot- qualitative
5. Ounces of ice cream in a large milkshake- quantitative
6. Capacity of the NFL football stadiums -qualitative
7. Ages of people living in a personal care home- quantitative
Qualitative variables are categorized or labelled to belong to a certain category or group.
There are two types of qualitative variables, Categorical and ordinal.
Categorical variable are those variables that are labelled in non-numeric or numeric form, where the numbers have no value. The order also does not matters. For example, the number on the jerseys of football players. It is not necessary that the player number 1 is actually the best player.
learn more about of variable here
https://brainly.com/question/17344045
#SPJ4
Problema de capacidades Una empresa aceitera ha envasado 3000 litros de aceite en 1200 botellas de dos y de cinco litros. ¿Cuántas botellas de cada clase se han utilizado?
Answer:
Hay 200 botellas de 5 litros y 1000 botellas de 2 litros.
Step-by-step explanation:
Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.
Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.
En este caso, las variables a calcular son:
x= cantidad de botellas de 2 litros.y= cantidad de botellas de 5 litros.Una empresa aceitera ha envasado 3000 litros de aceite en 1200 botellas de dos y de cinco litros. Entonces es posible plantear el siguiente sistema de ecuaciones:
[tex]\left \{ {{2*x+5*y=3000} \atop {x+y=1200}} \right.[/tex]
Existen varios métodos para resolver un sistema de ecuaciones. Resolviendo por el método de sustitución, que consiste en despejar o aislar una de las incógnitas y sustituir su expresión en la otra ecuación, despejas x de la segunda ecuación:
x= 1200 - y
Sustituyendo la expresión en la primer ecuación:
2*(1200 - y) + 5*y=3000
Resolviendo se obtiene:
2*1200 - 2*y + 5*y= 3000
2400 +3*y= 3000
3*y= 3000 - 2400
3*y= 600
y= 600÷3
y= 200
Reemplazando en la expresión x= 1200 - y:
x= 1200 - y
x=1200 -200
x= 1000
Hay 200 botellas de 5 litros y 1000 botellas de 2 litros.
Miguel has 7 pounds of clay. He uses 3/4 For the clay for a project. How many pounds of clay did he use?
Answer:
Miguel used 5 1/4 pounds of clay.
Step-by-step explanation:
You have to multiply 7 * 3/4 to get the amount he used.
7/1 * 3/4 = 21/4
Now turn it into a mixed number
5 1/4
Miguel used 5 1/4 pounds of clay.
Hope this helps !!
-Ketifa
Exit ticket
The length of the sides of two triangles is as follows:
ZY = 14, YX = 9, XZ = 8 PR = 5, RQ = 7, and QP = 4
is AZXY~ AQPR? Use a flowchart to organize your facts and conclusions.
Therefore , the solution of the given question triangle comes out to be
triangle PQR to triangle ZXY is 3/2
Defining a triangleYou can link any three points in a plane to form triangles, which have three sides and three angles. They were among of the first geometric forms to be examined. Since triangles may be divided into any polygon, regardless of whether it has four, five, six, or n sides, they are very significant.
Here,
Consider PR and ZY as a point of comparison.
PR = 5
ZY = 14
Suppose the scaling factor is r and that
5 * r = 14
r = 14 / 5
r = 14/5
examining other sides
RQ to PR
right 5 * 12/3 = 20
To YX, QP
Correct answer is 4 * 9/3 = 12.
Thus,
triangle PQR to triangle ZXY
Therefore , Triangle PQR to Triangle ZXY equals 3/2, which is how the given question's solution is determined.
To know more about triangle, visit
brainly.com/question/2773823
#SPJ1
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
Everything seems correct, I'm assuming you wanted confirmation
Can I get help in number 6?
Answer:
Trim A
Inches = 36
Feet = 3
Yards = 1
Trim B
Inches = 216
Feet = 18
Yards = 6
If the garage is open Monday to Saturday, determine the probability that the garage gets any demand for windscreen on Monday.
Answer: 1/6
Step-by-step explanation:
Since the garage is opened from Monday to Saturday, there'll be six possible outcomes which will be:
Monday, Tuesday, Wednesday, Thursday, Friday and Saturday.
Therefore, the probability that the garage gets any demand for windscreen on Monday will be:
= 1/6
tony wants to add 97 to 298 and first add 100 to 300 what must he now subtract from this result to obtain 97+298
Step-by-step explanation:
Let A be the sum from 100 to 300
so the sum of 97 to 298 =
A - (299+300) + 97 +98
= A - 403
Suppose you invest $2000 at an annual interest rate of 8.2% compounded continuously. How much will you have in the account after 10 years
Answer:
$3,640
Step-by-step explanation:
8.2% as a decimal is 0.082. multiply 2000 by 0.082, and you get your interest rate/the interest you pay each year, which would be 162. multiply 162 by ten to get your interest for all ten years, since 162 was simply the rate, and you get 1,640. add the original 2000 onto that, and you get 3,640.
A North Dakota license plate has six characters: 3 digits followed by 3 letters (e.g. 123AAA). Any number from 0 to 9 can be used as a digit. Any of the 26 letters from A to Z can be used as a letter.
How many different North Dakota license plates can be issued?
Enter your answer as an integer without commas, like this: 42536475
The number of different North Dakota license plates that can be issued is 17,576,000 plates.
How to find the number of plates issued ?For the first digit, there are 10 possibilities (0 to 9). For the second and third digits, there are also 10 possibilities each. For the first letter, there are 26 possibilities. For the second and third letters, there are also 26 possibilities each.
The total number of different license plates that can be issued is therefore:
= 10 x 10 x 10 x 26 x 26 x 26
= 1, 000 x 17, 576
= 17, 576, 000 different plates
Find out more on license plates at https://brainly.com/question/29064182
#SPJ1
Directions: Follow the instructions for the following inequalities.
1. 4 < 7 Multiply both sides by 3, then by 2, then by 4, then by 9
2. 11 > -2 Add 3 to both sides, then add 3, then add (-4)
3. -2 \leq -2 Subtract 6 from both sides, then 8, and then 2
4. -4 < 8 Divide both sides by -4, then by -2
5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?
Please Write Your Answer Below:
Answer:
1. 4x3<7×3
12×2<21×2
24×4<42×4
96×9<168×9
864<1512
2. 11+3>-2+3
14+3>1+3
17_4>4-4
13>0
3. -2/leg-2
-18/leg-18
4. -4<8
0<2
A cube of total area 150 cm?, then the length of its edge
PLEASE HELP ASAP!!!
Https://brainly.com/question/23389243answeringSource=feedPublic%2FhomePage%2F21
Answer:
your link doesn't work it just says 404
Step-by-step explanation:
What are the domain and range of the function?
f(x) = ³√x + 2
The domain of the function f(x) = ∛x + 2 is all real numbers such that x ≥ 0. This is because the cube root function is defined only for non-negative numbers.
What do a function example's range and domain mean?
A straightforward function, such as f(x) = x2, can have a domain (what goes in) of just the counting numbers 1, 2, 3, etc., and a range (what comes out) of the set 1, 4, 9, etc. Another function, g(x) = x2, may have an integer domain of..., -3, -2, -1, 0... 1, 2, 3, and its range is..., 1, 4, 9,...
For the range, the function f(x) = ∛x + 2 is a monotonically increasing function over the domain, which means that it increases as the input x increases. Therefore the range of f(x) = ∛x + 2 is all real numbers greater than or equal to 2
So the domain is x>=0 and the range is y>=2
learn more about range and domain
https://brainly.com/question/26098895
#SPJ1
what is the next term in this sequence of cube numbers?
1,8,27,64...
Answer: 125
Step-by-step explanation:
The first term is 1³. The second term is 2³. The third term is 3³. And the Fourth term is 4³.
So the pattern is n term = n³
plug in 5
= 5³
= 125
0.7 times square root of 300
The value of the expression 0.7 x √300 is 12.124.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
0.7 x √300
This can be written as,
= 0.7 x √3 x √100
= 0.7 x 1.732 x 10
= 12.124
Thus,
The value is 12.124.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
Rewrite the following equation in standard form.
y = 3x + 9
3x-y=-9
Step-by-step explanation:
Answer: 3x - y = - 9
Step-by-step explanation:
Re-write the equation in the following form:
3x + 9 = y
Take the y to LHS:
3x + 9 - y = 0
Now, take the 9 to the RHS:
3x - y = -9. This is your answer.
Use the graph or table to write a linear function that relates y to x
Step-by-step explanation:
draw it i n in a piece of paper and match the point so u will it get
A principal of $1800 is invested at 8.5% interest, compounded annually. How much will the investment be worth after 11 years?
3. Find the values of a and b. 36° 113° O
The measure of angles a and b is 144° and 67° respectively.
What is quadrilateral?There are four sides, four vertices, and four angles in a closed quadrilateral. It has a polygonal shape. It is produced by joining four non-collinear points. The total internal angle of a quadrilateral is always 360 degrees.
The English word quadrilateral is derived from the Latin words quadra, which means four, and latus, which means sides. Each of a quadrilateral's four sides does not always have to be the same length.
Given a quadrilateral,
in which opposite sides are parallel,
so, When a transversal cuts between two parallel lines, the interior angles on the same side of the transversal are additional to 180°.
36° + a° = 180°
and 113° + b° = 180°
a° = 180° - 36° = 144°
and b° = 180° - 113°
b° = 67°
Hence the values of a° is 144° and b° is 67°.
Learn more about quadrilateral;
brainly.com/question/13805601
#SPJ1
Hundredths
2347
whole hundredths
:) How many tenths are in 2,347? How many whole tenths
tenths
whole tenths
D) How many tenths are in 234. 7? How many whole tenths
C) The whole hundredths of 2347 is 234700 hundredths. Zero-tenths are in 2,347. The whole tenth of 2347 is 2470tenth.
D) The tenth in 234. 7 are 7. The whole tenth of 234. 7 is 2347.
What is the tenth?
The tenth place is represented by the first digit following the decimal. The hundredth place is represented by the digit that follows the decimal.
Given number is 2347.
To find the whole hundredth, multiply the number by 100.
The whole hundredth in 2347 is 2347 × 100 = 234700.
The given number can be written as 2347.0.
Thus tenth of 2347 is 0.
To find the whole tenth, multiply the number by 10.
The whole tenth in 2347 is 2347 × 10 = 23470.
Thousand Hundred Ten decimal point Tenth
2 3 4 . 7
The tenth of in 234. 7 is 7.
The whole tenth in 234. 7 is 234.7 × 10 = 2347.
To learn more about hundredth, click on the below link:
https://brainly.com/question/29016830
#SPJ4
You are investing towards your future. You deposit $18,000 into an account that
pays 2.5% interest. How much money will you have in the account after 5 years?
Answer:
=20250
2.5/100*5+18000
What are 4 ways to solve a problem?
The 4 ways to solve a problem are understanding the problem, devising a plan, carrying out the plan, look back.
A problem is any type of disruption from normality that is impeding progress. A problem can be time-consuming and requires too much energy to solve it.
Polya created his famous four-step process for problem-solving, which is used all over to aid people in problem-solving:
Step 1. Understand the problem.
x = a number
Step 2. Devise a plan (translate).
Twice the difference between a number and 1 is equal to 4 more than that number
Step 3. Carry out the plan (solve).
2(x - 1) = (x + 4)
2x - 2 = x + 4
2x - 2 - x = x + 4 - x
x - 2 + 2 = 4 + 2
x = 6
Step 4. Look back (check and interpret).
If we take twice the difference of 6 and 1, that is the same as 4 more than 6. Thus the final answer is 6.
To know more about problem-solving, here
https://brainly.com/question/3418829
#SPJ4
which choice belongs in space number 4
Answer:
2nd choice
Step-by-step explanation:
mrk me brainliest plzzzzzzzzzzz
Please help I have no idea
Answer:
The surface area of this cuboid is 420 square inches.
Step-by-step explanation:
All we have to do is calculate each rectangle. For the width, we have 10 x 5 which is 50. Then we multiply it by 2 because we have two of those sides. Then we get 100. Then we have 11 x 5 which is 55. We multiply that by 2 and we get 110. Then we do that to the final two sides and we get 220. So the final answer if we add them all up is 420 square inches.
16 POINTS! NO LINKS! SHOW ALL WORK!
given the function f(x)=3x-1, what is f(3)
a)5
b)32
c)9
d)8
-------------------------------
evaluate f(x) = x^2 - 3x + 2 given f (x+1)
a) x^2 - x
b) 3x^2 - 4
c) x^2 + x - 3
d) 2x^2 + x - 2
Answer:
d
a
Step-by-step explanation:
f(3)= 3(3)-1
f(3)=9-1=8
f(x+1)= (x+1)^2-3(x+1)+2
=x^2+2x+1-3x-3+2
=x^2-x
Jan has a kids pool that holds 20 gallons of water. It drains as a constant rate. When Jan first saw the kids pool, it contained 14 gallons. Six minutes later, the pool contained 10 gallons of water. At what rate is the amount of water in the pool changing? Use a signed number, and include the unit of measurement in your answer.
Answer:
-2/3 gal per minute
Step-by-step explanation:
The pool drained 4 gallons in 6 minutes.
How many gallons per minute?
minutes: 6 min/6 = 1
gallons: 4 gal/6 = 2/3
-2/3 gal per minute (negative because the pool is draining)