Answer:
Step-by-step explanation:
Use the slope formula to solve this problem. Slope, usually called m, is the change in y-values over the change in x-values.
m = (y2 - y1)/(x2 -x1)
It actually doesn't matter which point is the first point and which point is the second point. But you must be consistent.
So fill in -3/2 for the m
Let your (6, b) be your (x1, y1)
Let (-2, 4) be your (x2, y2)
So, the numbers fill into the formula like so:
-3/2 = (4 - b)/ (-2 - 6)
-3/2 = (4 - b)/(-8)
Multiply -8 on both sides of the equation.
(-8)(-3/2) = 4 - b
12 = 4 - b
Subtract 4 from both sides.
Don't lose the negative in front of the b
8 = -b
Multiply or divide by -1 on both sides.
-8 = b This is the answer.
**note: Its kinda crummy to use b in this equation, because b has a special meaning when you are working with linear equations. They should have given you a different variable. b usually stands for the y-intercept but in this problem it doesn't, it's just a variable representing an unknown value.
Compare the decimal by writing <,> or = on the space provided.
1). 501.019_______501.901
2). 65.561________65.651
3). 0.2134________0.03124
4). 0.500_________0.5
5). 0.004_________0.0004
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pa answer Po please
Answer:
1. < 2. < 3. > 4. = 5. >
Step-by-step explanation:
evaluate the following division: (3b-6a)÷(30a-15b)
Evaluate the following division: (3b-6a)÷(30a-15b) is -1/5.
INTRODUCTION~ Algebraic Forms and their Elements
Algebraic form is a mathematical form whose presentation involves symbols or letters to represent unknown numbers.
Elements of Algebra:
1. Variables, Constants and Coefficients
Pay attention to the algebraic form 3x + 2y + 3
From the algebraic form above, x and y are variables (variables), while the number 3 is a constant. A variable is a substitute symbol for a number whose value is not clearly known. While constants are terms of an algebraic form in the form of numbers and do not contain variables.
And what is meant by the coefficient is the constant factor of a term in algebraic form. The coefficient on the 3x term is 3, on the 2y term it is 2.
2. Terms and Factors
» The term is part of the algebraic form which is limited by the operation of addition (+) or difference (-). The term one is an algebraic form that is not connected by the operation of addition or difference.
Example: 2x, 2a², -4xy, . . .
» Term two is an algebraic form that is connected by an operation of sum or difference.
Example: 2x + 3, a² - 4, 3x² - 4x, . . .
» Similar terms in algebraic form are terms that have the same variable and the same power.
Example:
2a is similar to 3a, 4a, etc.
» Factors are part of the algebraic form that is restricted to multiplication operations.
Example: 5n = 5 × n, 5 and n are factors of 4n, respectively.
Calculation Operations on Algebraic Forms
1. Addition and subtraction of algebraic forms can only be done on similar terms.
2. Multiplication and division of algebraic forms.
Multiply two terms by constants or variables.
Example:
3 (4y + 5)
= (3 × 4y) + (3 × 5)
= 12y + 15
Division of two terms with a variable or constant, for example:
(8y+4)/2 = 8y/2 + 4/2 = 4y + 2
DISCUSSION(3b-6a)÷(30a-15b)
= (-6a + 3b) ÷ (-5(-6a+3b))
= (-6a+3b)/(-5(-6a+3b))
= -1/5
Conclusion:So, Evaluate the following division: (3b-6a)÷(30a-15b) is -1/5.
Learn More:(mampir ke indo:v)
Algebraic subtraction material: https://brainly.co.id/task/35216852Algebraic arithmetic operations: https://brainly.co.id/task/26250852The equation of the value of x in algebraic form: https://brainly.co.id/task/42124780_____________
Answer Details:Class: 7 Middle School
Subject: Math
Material: Chapter 2.1 -Operations of Algebraic Forms
Categorization Code: 7.2.2.1
Keywords: Simple form of algebra
A recipe for a loaf of bread requires 2/3 cup of flour. How many cups of flour would it take to make 15 loaves of bread?
Answer:
10
Step-by-step explanation:
1 loaf if bread= 2/3 cup
15 loaves of bread= 2/3 × 15
= 10
Find the equation of the line.
Answer:
y = 2x + -3
Step-by-step explanation:
Use the equation y=mx+b
m is the slope (2 in this case)
b is the y intercept (-3 in this case)
The equation of the line would be y = 2x + -3
PLEASE HELP ME SOLVE THIS!!!
Answer:
c. m < 13
Step-by-step explanation:
13 - 7 is equal to 6 so m must be less than 13 to be less than 6.
A dog runs 100 meters in 4 seconds. A lion runs 250 meters in 10 seconds.
What is the difference in their speeds?
Answer:
C their speeds are equal
Answer: C) Their speeds are equal
Step-by-step explanation:
Use the speed-distance equation
Dog - s=d/t = 100/4 = 25m/s
Lion - s=d/t = 250/4 = 25m/s
Explain this picture
A
Hilda has a bank account balance of $1550. Each week, her balance changes by −$82.50. She wants to keep the balance above $395.
How many weeks will Hilda's balance remain above $395?
Select from the drop-down menu to correctly complete the statement.
Hilda's bank balance will remain above $395
Choose...
weeks.
Step-by-step explanation:
1550 - 395 = 1155
1155 / 82.5 = 14
Answer should therefore be 14 weeks.
Not my usual way of doing this sort of question but I'm interested to see if it's right. Alternatively you can subtract $82.50 from $1550 until/before you reach $395. Do not go below $395 though.
Answer:
K12 Answer
Step-by-step explanation:
Hi need help for this maths question
a) If f(y) is a probability density function, then both f(y) ≥ 0 for all y in its support, and the integral of f(y) over its entire support should be 1. eˣ > 0 for all real x, so the first condition is met. We have
[tex]\displaystyle \int_{-\infty}^\infty f(y) \, dy = \frac14 \int_0^\infty e^{-\frac y4} \, dy = -\left(\lim_{y\to\infty}e^{-\frac y4} - e^0\right) = \boxed{1}[/tex]
so both conditions are met and f(y) is indeed a PDF.
b) The probability P(Y > 4) is given by the integral,
[tex]\displaystyle \int_{-\infty}^4 f(y) \, dy = \frac14 \int_0^4 e^{-\frac y4} \, dy = -\left(e^{-1} - e^0\right) = \frac{e - 1}{e} \approx \boxed{0.632}[/tex]
c) The mean is given by the integral,
[tex]\displaystyle \int_{-\infty}^\infty y f(y) \, dy = \frac14 \int_0^\infty y e^{-\frac y4} \, dy[/tex]
Integrate by parts, with
[tex]u = y \implies du = dy[/tex]
[tex]dv = e^{-\frac y4} \, dy \implies v = -4 e^{-\frac y4}[/tex]
Then
[tex]\displaystyle \int_{-\infty}^\infty y f(y) \, dy = \frac14 \left(\left(\lim_{y\to\infty}\left(-4y e^{-\frac y4}\right) - \left(-4\cdot0\cdot e^0\right)\right) + 4 \int_0^\infty e^{-\frac y4} \, dy\right)[/tex]
[tex]\displaystyle \cdots = \int_0^\infty e^{-\frac y4} \, dy[/tex]
[tex]\displaystyle \cdots = -4 \left(\lim_{y\to\infty} e^{-\frac y4} - e^0\right) = \boxed{4}[/tex]
Figures A and B at right are similar. Assuming that figure A is the original figure, find the scale factor and find the lengths of the missing sides of figure B
A 4 sided polygon, labeled A, with sides labeled as follows: left, 15, top, 12, right, 18, bottom, 20. A smaller, 4 sided polygon, labeled b, oriented the same way, has left side labeled: 3.
Answer:
Left 3, top 2.4, right 3.6, bottom 4. Scale factor 5
Step-by-step explanation:
The circle graph summarizes the results of a
survey of 2800 Internet users who make
purchases online. Use this graph to answer the
following question
Online Spending per Month
$0-$15 22.5%
$15-S185 59.1%
Over 185 18.4%
Find the ratio of number of respondents who
spend $0-$15 online to number of respondents
who spend $15_$185 online. Write the ratio as a
fraction with whole numbers in the numerator
and denominator.
If 3 people share 5 pizzas , how much pizza does each person get
Answer:
1 2/3
Step-by-step explanation:
5 pizzas divided by 3 people = 1 2/3
Image attached giving 25 points please help
Answer:
Step-by-step explanation:
Rational number ,because it can be written as 37 which is a ratio
write a quadratic equation in standard form.
1. -6 and 4 are solutions
2. 2 and 5 are solutions
1 and 2 are two different problems
Answer:
1. x^2 +2x -24 = 0
2. x^2 -7x +10 = 0
Step-by-step explanation:
If you look at the factored and expanded forms of a quadratic with solutions p and q, you see ...
(x -p)(x -q) = x^2 -(p+q) +pq
The x-term coefficient is the opposite of the sum of solutions.
The constant is the product of solutions.
This knowledge lets you write down the standard form equation with no particular effort.
1. x^2 +2x -24 = 0
2. x^2 -7x +10 = 0
Help me I need the math problem
Answer:
y=4x-3
Step-by-step explanation:
Answer:
DO i care... no ask your dam teacher won der why u aint pass
Step-by-step explanation:
-7f+6=116+3f
help me plss
subtract 6 from both sides of the equation and simplify and your answer should be f = 55 over 2
In a basketball game, Archie made 3/5 of his shots. Which numbered choice has a value that is the same as the ratio Archie made in his game?
Answer:
0.6
Step-by-step explanation:
3/5=0.6
Please help with this question please and thank you
Answer:
I need help with this too!!!
Step-by-step explanation:
Answer:
what does it mean?
Step-by-step explanation:
I do not understand.
help with this please i dont understand?
a) Evaluate the given function at each value of x. We have f(x) = 2x + 3.
• If x = -2, then
f(-2) = 2 (-2) + 3 = -4 + 3 = -1
• If x = -1, then
f(-1) = 2 (-1) + 3 = -2 + 3 = 1
• If x = 0, then
f(0) = 2 (0) + 3 = 0 + 3 = 3
and so on.
b) Kind of a silly question. Of course f(x) is a function, the instructions for part (a) say so!
But the real reason f(x) is indeed a function is that no single value of x returns more than one value of f(x).
anyone who solves this problem for me .... I really need help
a) The value of [tex]k'(0)[/tex] is [tex]\frac{3\sqrt{3}}{2}[/tex].
b) The value of [tex]m'(5)[/tex] is approximately -0.034.
c) The value of [tex]x[/tex] is approximately 0.622.
a) [tex]f(x)[/tex] is a piecewise function formed by two linear functions, whose form is defined by the following definition:
[tex]f(x) = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} \cdot x + b[/tex] (1)
Where:
[tex](x_{1}, y_{1})[/tex], [tex](x_{2}, y_{2})[/tex] - Two distinct points of the line.[tex]x[/tex] - Independent variable.[tex]f(x)[/tex] - Dependent variable.[tex]b[/tex] - x-InterceptNow we proceed to determine the linear functions:
Line 1: [tex]x \in [-1, 2)[/tex]
[tex](x_{1}, y_{1}) = (0, 3)[/tex], [tex](x_{2}, y_{2}) = (1, 5)[/tex], [tex]b = 3[/tex]
[tex]f(x) = \frac{5-3}{1-0}\cdot x + 3[/tex]
[tex]f(x) = 2\cdot x + 3[/tex]
Line 2: [tex]x \in [2, 8][/tex]
[tex](x_{1}, y_{1}) = (2, 7)[/tex], [tex](x_{2}, y_{2}) = (8, 3)[/tex]
First, we determine the slope of function:
[tex]m = \frac{3-7}{8-2}[/tex]
[tex]m = -\frac{2}{3}[/tex]
Now we proceed to determine the intercept of the linear function:
[tex]7 = -\frac{2}{3}\cdot 2 + b[/tex]
[tex]b = \frac{25}{3}[/tex]
[tex]f(x) = -\frac{2}{3}\cdot x +\frac{25}{3}[/tex]
The first derivative of a linear function is its slope, and the first derivative of a product of functions is defined by:
[tex]k'(x) = f'(x)\cdot g(x) + f(x)\cdot g'(x)[/tex]
If we know that [tex]f(x) = 2\cdot x + 3[/tex], [tex]f'(x) = 2[/tex], [tex]g(x) = \sqrt{x^{2}-x+3}[/tex], [tex]g'(x) = \frac{2\cdot x - 1}{2\cdot \sqrt{x^{2}-x+3}}[/tex] and [tex]x = 0[/tex], then:
[tex]k'(x) = 2\cdot \sqrt{x^{2}-x+3}+\frac{(2\cdot x +3)\cdot (2\cdot x - 1)}{2\cdot \sqrt{x^{2}-x+3}}[/tex]
[tex]k'(0) = 2\sqrt{3}-\frac{3}{2\sqrt{3}}[/tex]
[tex]k'(0) = \frac{12-3}{2\sqrt{3}}[/tex]
[tex]k'(0) = \frac{9}{2\sqrt{3}}[/tex]
[tex]k'(0) = \frac{3\sqrt{3}}{2}[/tex]
The value of [tex]k'(0)[/tex] is [tex]\frac{3\sqrt{3}}{2}[/tex].
b) The derivative is found by means of the formulas for the derivative of the product of a function and a constant and the derivative of a division between two functions:
[tex]m'(x) = \frac{f'(x)\cdot g(x)-f(x)\cdot g'(x)}{2\cdot [g(x)]^{2}}[/tex] (2)
If we know that [tex]f(x) = -\frac{2}{3}\cdot x +\frac{25}{3}[/tex], [tex]f'(x) = -\frac{2}{3}[/tex], [tex]g(x) = \sqrt{x^{2}-x+3}[/tex], [tex]g'(x) = \frac{2\cdot x - 1}{2\cdot \sqrt{x^{2}-x+3}}[/tex] and [tex]x = 5[/tex], then:
[tex]f(5) = 5[/tex]
[tex]f'(5) = -\frac{2}{3}[/tex]
[tex]g(5) = \sqrt{23}[/tex]
[tex]g'(5) = \frac{9\sqrt{23}}{46}[/tex]
[tex]m'(5) = \frac{\left(-\frac{2}{3} \right)\cdot \sqrt{23}-\left(-\frac{2}{3} \right)\left(\frac{9\sqrt{23}}{46} \right)}{3\cdot 25}[/tex]
[tex]m'(5) \approx -0.034[/tex]
The value of [tex]m'(5)[/tex] is approximately -0.034.
c) In this case we must find a value of [tex]x[/tex], so that [tex]h'(x) = 2[/tex]. Hence, we have the following formula below:
[tex]5\cdot e^{x}-9\cdot \cos x = 2[/tex]
A quick approach is using a graphing tool a locate a point so that [tex]5\cdot e^{x}-9\cdot \cos x = 2[/tex]. According to this, the value of [tex]x[/tex] is approximately 0.622.
To learn more on derivatives, we kindly invite to check this verified question: https://brainly.com/question/21202620
How do I fully simplify this?
90 is 95% of what number?
Answer:
94.74
Step-by-step explanation:
Hope this helps!
Answer:
94.74
Step-by-step explanation:
Here’s the question:
Steven earns extra money babysitting. He charges $46.50 for 6 hours and $62.00 for 8 hours. Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges. The equation is y =
I’m stumped. Can you help me find the answer along with an explanation? Thanks.
Answer:
An easy way to solve this problem is divide $23.25 by 3 or $54.25 by 7. Either way, you get $7.75. This number represents the amount of money he makes for 1 hour. So with that in mind, the correct equation is:
$7.75x = y
Step-by-step explanation:
Answer: y = 7.75x
Step-by-step explanation:
Find the difference of charges between 6 hours and 8 hours
62-46.5 = 15.5 for 2 hours
15.5/2 = 7.75/hr
62 = 7.75 x 8
Therefore there is no initial charge, and that the relationship is linear
so y = 7.75x
solve for x??????????
Answer:
x=4
Step-by-step explanation:
you take both equations, and make them equal to each other. so....
5x-6=3x+2 subtract 3x from both sides
2x-6=2 then add 6 to the other side.
2x=8 then divide 8 by 2.
X=8
Choose all the numbers that make the comparison true.
42 > __
A, 22
B, 64
C, 41
D,40
E, 40
Answer:
22, 40, 40, and 41
Step-by-step explanation:
happy to help have a nice day
The population of a slowly growing bacterial colony after t hours is given by
p(t) = 4t² + 27t + 150. Find the growth rate after 2 hours.
bacteria/hour
Submit Question
A function is an expression that defines a relationship between an independent variable and a dependent variable.
The number of bacteria colonies after 2 hours is 220.
What is a function?It is an expression that defines a relationship between an independent variable and a dependent variable.
We have,
P(t) = 4t² + 27t + 150
Where t = time
P(t) = population of a slowly growing bacteria colony after a particular time
The growth rate after 2 hours:
P(2) = 4 x (2)² + 27 x 2 + 150
P (2) = 16 + 54 + 150
P (2) = 220
Thus the number of bacteria colonies after 2 hours is 220.
Learn more about functions here:
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A line that includes the point (0, -2) has a slope of 1. What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y=1x-2
Step-by-step explanation:
Well this one is already given
When x=0, it's the y intercept
and it gives the slope, so we got it :D
Answer:
y=x-2
Step-by-step explanation:
y-y1=m(x-x1)
y-(-2)=1(x-0)
y+2=1(x)
y+2=x
y=x-2
At what rate would $1,200 earn $96 in 8 years?
What is the probability of getting an odd number on the first roll and less than 3 on the second roll? * choise 1/6 3/6 2/6 3/5
The probability of getting an odd number on the first roll and less than 3 on the second roll is 1/6.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The probability of getting an odd number on the first roll is 3/6
since there are three odd numbers (1, 3, 5) out of six possible outcomes (1, 2, 3, 4, 5, 6).
The probability of getting less than 3 on the second roll is 2/6, since there are two possible outcomes (1, 2) out of six.
To find the probability of both events happening, we multiply the probabilities:
P(odd on first roll and less than 3 on second roll) = P(odd on first roll) × P(less than 3 on second roll)
= (3/6)× (2/6)
= 1/6
Therefore, the probability of getting an odd number on the first roll and less than 3 on the second roll is 1/6.
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PLEASE HELPPPP QUICKLY LOOK AT THE ATTACHED PHOTO FOR TE QUESTION!!!
Answer:
[tex]\sqrt 10y[/tex]
Step-by-step explanation:
10*[tex]\sqrt{y}[/tex] is [tex]\sqrt 10y[/tex]
[tex]\sqrt{100y}[/tex]
Step-by-step explanation:
Recall that
[tex]10 = \sqrt{100}[/tex]
So we can write our original expression as
[tex]10\sqrt{y} = \sqrt{100}\sqrt{y}[/tex]
[tex]\;\;\;\;\;\;\;\;\;=\sqrt{100y}[/tex]