Find the equation of the line with Slope = 3 and passing through (4, 10) .write your equation in the form y=mx+b
can anyone help please??
Please help!! First person gets award or whatever it is!! Awarding 10 points
Pls help I’ll brainlest
Find an equation for the line with the given property. (a) It passes through the point (2, −6) and is parallel to the line 4x + y − 10 = 0.
It has x-intercept 6 and y-intercept 4.
Answer:
[tex]y = -4x + 2[/tex]
Step-by-step explanation:
Required
Determine the equation
From the question, we understand that, it is parallel to:
[tex]4x + y -10 = 0[/tex]
This means that they have the same slope.
Make y the subject to calculate the slope of: [tex]4x + y -10 = 0[/tex]
[tex]y = -4x + 10[/tex]
The slope of a line with equation [tex]y =mx + c[/tex] is m
By comparison:
[tex]m = -4[/tex]
So, the slope of the required equation is -4.
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where:
[tex](x_1.y_1) = (2,-6)[/tex]
So, we have:
[tex]y = -4(x - 2) -6[/tex]
Open bracket
[tex]y = -4x + 8 -6[/tex]
[tex]y = -4x + 2[/tex]
Convert the following improper fraction to a whole number or a mixed number: 41/6
Answer:
6 and 5 over 6
6 5/6
Step-by-step explanation:
it would be a mixed fraction because 6 can't go into 41 evenly
Answer:
6
Hope that this helps!
3.7 pounds of meat costs $20.35. What is the price per pound?
Answer:
$5.5 per pound of meat
Step-by-step explanation:
$20.35 ÷ 3.7 = $5.50
Hope this is helpful
3+5 plz help will gibe brain
Answer:
8
Step-by-step explanation:
Need help on this question been stuck on it
Answer:
Exponential Function
Step-by-step explanation:
y values increase by x4
Answer:
exponential function
the ans is b
The graph of the function f(x)=4/5 sqrt x is shown.
What is the domain of the function?
Answer:
All real number greater than equal to zero.
Step-by-step explanation:
The function is given by
[tex]f(x) = \frac{4}{5}\sqrt x[/tex]
The domain is defined as the input values so that the function is well defined.
here, the values of x should be all real number and zero also.
So, the correct option is (d).
Answer:
D
Step-by-step explanation:
If f(x) is an exponential function where f(-2,5) = 9 and f(7) = 91, then find the value of f(12), to the nearest hundredth.
Answer:
[tex]f(12) = 323.02[/tex]
Step-by-step explanation:
Given
[tex]f(-2.5) = 9[/tex]
[tex]f(7) = 91[/tex]
[tex]f(12) = 16.7 * 1.28^{12[/tex]
Required
[tex]f(12)[/tex]
An exponential function is:
[tex]f(x) = ab^x[/tex]
[tex]f(-2.5) = 9[/tex] implies that:
[tex]9 = ab^{-2.5}[/tex]
[tex]f(7) = 91[/tex] implies that:
[tex]91 = ab^7[/tex]
Divide both equations
[tex]91/9 = ab^7/ab^{-2.5}[/tex]
[tex]91/9 = b^7/b^{-2.5}[/tex]
Apply law of indices
[tex]91/9 = b^{7+2.5}[/tex]
[tex]10.11 = b^{9.5}[/tex]
Take 9,5th root of both sides
[tex]b = 1.28[/tex]
So, we have:
[tex]9 = ab^{-2.5}[/tex]
[tex]9 = a * 1.28^{-2.5}[/tex]
[tex]9 = a * 0.54[/tex]
[tex]a = 9/0.54[/tex]
[tex]a = 16.7[/tex]
f(12) is calculated as:
[tex]f(x) = ab^x[/tex]
[tex]f(12) = 16.7 * 1.28^{12[/tex]
[tex]f(12) = 323.02[/tex]
It costs $21.50 to enter an amusement park and $0.50 to ride a ride. You have $24. Write an equation that represents the number r of rides you can ride.
Answer:
$24.00=$21.50+r*$.50
Step-by-step explanation:
total cost= entrance fee + r (number of rides) * $0.50 (cost of rides)
$24.00=$21.50+r*$.50
2.50=r*.50
2.5/.5=r
r=5
If a normal distribution has a mean of 154 and a standard deviation of 15,
what is the value that has a z-score of 1.6?
Answer:
The correct answer is - 178.
Step-by-step explanation:
The standard deviation is a measure of the amount of dispersion in a set of values.
Given:
Mean of a normal distribution (m) = 154
Standard deviation (s) = 15
z-score = 1.6
Solution:
To find: value (x) that has a z-score of 1.6
z-score is given by = x-u/15
1.6*15 = x-154
=> 154+24 = x
x = 178
If the distance from D to D' is 10 and the distance from A to D is 2 what is the scale factor?
Answer:
5
Step-by-step explanation:
10/2=5
The scale factor of the given case that the distance from D to D' is 10 and the distance from A to D is 2 will be 5.
What is the scale factor?
The ratio between comparable measurements of an object and a representation of that object is known as a scale factor in mathematics.
The scale factor is the ratio between two big and small figures and the ratio is called a scale for the given geometry.
For example, if we have a triangle with a side of 10 meters and another triangle with a side of 5 then the scale ratio will be 10/5 = 2.
Given that
distance from D to D' is 10
distance from A to D is 2
So the scale ratio will be
DD'/AD = 10/2 = 5 hence scale ratio will be 5 for the given
geometry.
For more about scale ratio,
https://brainly.com/question/13770371
#SPJ2
What is the slope of the line that passes through the points (10, 5) and (15,20)? Write your answer in simplest form.
Answer:
3
Step-by-step explanation:
(10, 5) and (15,20)
m = rise/run
m = ∆y/∆x
m = (y₂ - y₁) / (x₂ - x₁)
m = (20 - 5) /(15 - 10)
m = 15/5
m = 3
In the questions below suppose the variable x represents students and represents courses, and:
•M(y): y is a math course F(x): x is a freshman
•B(x): x is a full-time student T(x,y): x is taking
•Write the statement in good English without using variables in your answers.
Answer:
Here the answer is given as follows,
Step-by-step explanation:
The last three parts are coming with a question mark, so can't answer those parts. post the image or write it properly
a) Every student is taking at least one course.
[tex]\forall x \exists y T(x,y)[/tex]
So for all x, there is a y such that T(x,y) is a true will be given by the above statement
b) There is a part-time student who is not taking any math courses.
[tex]\exists x \forall y [A(x) \Lambda (M(y) \rightarrow ~T(x,y))][/tex]
order of operation problem who two operations inside parentheses and two ex outside ( using all add, subtract, multiply and divide)
PLEASE SHOW ALL WORK
Answer:
17 + 123 (4 - 1) + (36 / 18) 52 =
17 + 123 x 3 + 2 x 52 =
17 + 369 + 104 =
17 + 473 =
490
Step-by-step explanation:
hope this helps! i made up everything so i hope its okay!
Please tell me how to do it thank you
Answer:
First set: 0.95. Second set: 0.86. Third set: 0.88.
Step-by-step explanation:
Imagine that these are not decimals, they are regular numbers (for example: 0.88 is turned into 88). You would determine which one is the greatest depending on which one is higher (like 44 is higher than 32). Therefor the first set: 0.95 the second set: 0.86 the third set: 0.88.
Which function is shown in the graph below?
Answer:y=log1x
Step-by-step explanation:
Rationalize the denominator of the fraction and enter the new denominator below.
Answer:
7/19
Step-by-step explanation:
7/19=square root of 11=22-3 19
please help meeeeeeee
pt 4
Answer:
The answer is
[tex]2 {x}^{2} + 3x - 1 = 0[/tex]
Why? Below I explain
Step-by-step explanation:
That formula has three variables a, b and c.
So, a = 2, b = 3 and c = -1
Because the formula is written like
[tex] \frac{ - b + - \sqrt{ {b}^{2} - 4 \times a \times c} }{2 \times a} [/tex]
y = 2x - 3
y = -x + 3 solve for x and y
We are given the system of equations:
[tex] \large{ \begin{cases} y = 2x - 3 \\ y = - x + 3 \end{cases}}[/tex]
Since both are y-isolated equation, we can combine them together.
[tex] \large{2x - 3 = - x + 3}[/tex]
Isolate and solve for x-term.
[tex] \large{2x - 3 + 3 + x = - x + 3 + x + 3} \\ \large{2x + x = 6 \longrightarrow 3x = 6} \\ \large{ \frac{3x}{3} = \frac{6}{3} \longrightarrow \boxed{ \red{x = 2}}}[/tex]
Next, we find the value of y. Simply substitute x = 2 in one of these equations. The less coefficient values, the faster and better. I will substitute x = 2 in y = -x+3. You can substitute x = 2 in y = 2x-3 if you want but the result would be the same.
[tex] \large{y = - x + 3}[/tex]
Substitute x = 2 in the equation.
[tex] \large{y = - 2 + 3} \\ \large \boxed{ \blue{y = 1}}[/tex]
Therefore - when x = 2, y = 1. We can write in coordinate point or ordered pair as (2,1) from (x,y).
Answer
x = 2, y = 1(2,1) --- ordered pair
In a bread recipe, the ratio of milk
to flour is 5 to 4. If 7 cups of flour
are used, how many cups of milk
are used?
The table shows a linear relationship between x and y.
х
у
-20
96
-12
60
-6
33
-2
15
What is the rate of change of y with respect to x?
Answer:
[tex] -\frac{9}{2} [/tex]
Step-by-step explanation:
Rate of change of x and y can be calculated using the following formula and using any two given pair of values from the table:
Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Using (-12, 60) and (-6, 33).
Where,
[tex] (-12, 60) = (x_1, y_1) [/tex]
[tex] (-6, 33) = (x_2, y_2) [/tex]
Plug is the values
Rate of change = [tex] \frac{33 - 60}{-6 -(-12)} [/tex]
Rate of change = [tex] \frac{-27}{6} [/tex]
Simplify
Rate of change = [tex] \frac{-9}{2} [/tex]
Rate of change = [tex] -\frac{9}{2} [/tex]
Examine the geometric relationships in the diagram below which option shows the correct value of x and y?
Answer:all of them
Step-by-step explanation:
peter bought 3 suits and 3 pairs of jeans and paid $2397. James bought 8 suits and 11 pairs of jeans and paid $6989. What is the price of each?
Answer:
Therefore each suit cost $600 and each jean cost $199
Step-by-step explanation:
Let x represent the price of each suit and let y represent the price of each jeans.
Since 3 suits and 3 pairs of jeans cost $2397, this can be represented by the equation:
3x + 3y = 2397
Dividing through by 3:
3x/3 + 3y.3 = 2397/3
x + y = 799 (1)
Also, 8 suits and 11 pairs of jeans cost $6989, this can be represented by the equation:
8x + 11y = 6989 (2)
To find x and y, solve equation 1 and 2 simultaneously. Multiply equation 1 by 8 and subtract from equation 2 to get y:
3y = 597
y = $199
Put y = $199 in equation 1:
x + 199 = 799
x = $600
Therefore each suit cost $600 and each jean cost $199.
Which shows the following expression after the negative exponents have been eliminated?
Step-by-step explanation:
The given expression is :
[tex]\dfrac{a^3b^{-2}}{ab^{-4}}[/tex]
We need to simplify the above expression.
a³ is in numerator and a is in denominator. It gts cancelled.
[tex]\dfrac{a^3b^{-2}}{ab^{-4}}=\dfrac{a\times a\times a\times b\times b\times b\times b}{a\times b \times b}\\\\=\dfrac{a^2\times b^{-2}\times b^4}{1}\\\\=\dfrac{a^2}{b^{-2}}[/tex]
Hence, this is the required solution.
write equation of the line below
Hi there!
We are given two ordered pairs which are:
(0,0)(5,4)If you are curious how do I get these ordered pairs, they come from those two big circles or dots. x and y make relation and can be written as (x,y).
1. Find the slope
Yes, our first step is to find the slope of a graph if you want to find an equation. You may be curious how to find that right? No worries! We have got a special formula for you to find the slope![tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]
Since we have two given points, we can substitute them in the formula.
[tex] \large{m = \frac{4 - 0}{5 - 0} } \\ \large \boxed{m = \frac{4}{5} }[/tex]
2. Form an equation.
Since we have finally found, got or evaluated the slope. Next step is to find the y-intercept. Oh! Before we get to form an equation, do you know the slope-intercept form? We will be using that linear equation form since it is commonly used in the topic.[tex] \large \boxed{y = mx + b}[/tex]
Where m = slope and b = y-intercept. We substitute m = 4/5.
[tex] \large{y = \frac{4}{5} x + b}[/tex]
Next thing to remember is that when the graph intersects an origin point, b-term or y-intercept would be 0. Therefore b = 0 since the graph intersects (0,0).
[tex] \large \boxed{y = \frac{4}{5} x}[/tex]
3. Answer
Therefore the equation of the line is y = 4x/5.
Write the expression. Then, complete the statements.
twice the difference of a number and seven
The word "twice" means multiplication by 2 v
The words "the difference of indicate
If P = (7,-4), Find:
(180° (P)
([?], []
Enter
Step-by-step explanation:
the answer is in the above image