Answer: y=3x-3
Step-by-step explanation:
To find a line that is parallel to the function, we know that the slope must stay the same. Parallel lines NEVER cross. This means the slope MUST be the same. All we have to change is the y-intercept. We can use the given point to find the correct y-intercept.
y=3x+b [plug in (4,9)]
9=3(4)+b [multiply]
9=12+b [subtract both sides by 12]
b=-3
Now, we know that the y-intercept is -3, we can put together our equation. y=3x-3
0.2121 repeating as fraction
is y+2=8 an expression
Answer:
no
Step-by-step explanation:
hope this helps
help me I don't understand
Answer: the answer should be A
if this helps the equation format is y= mx + b your replace the with the slop and the b with the y intercept
the way to find the slope is rise over run
Step-by-step explanation:
6+4m-1=21
PLEASE HELP! I’m stuck on this question :/
Answer:
m=4
best of luck!
Step-by-step explanation:
Answer:
m=4
Step-by-step explanation:
6+4m-1=21
(6-1=) 5+4m=21
21-5=16
16÷4m = 4
The sum of two numbers is 24. One is 6 less than twice the other. Find the two numbers.
(apply polya's problem solving method)
Answer:
[tex]\huge\boxed{\sf x = 14 , y = 10}[/tex]
Step-by-step explanation:
Let the two numbers be x and y
Condition # 1:
x + y = 24 ---------------------(1)Condition # 2:
x = 2y - 6 ----------------------(2)[tex]\rule[225]{225}{2}[/tex]
Putting Equation # 2 in Equation # 1
2y - 6 + y = 24
3y - 6 = 24
Adding 6 to both sides
3y = 24 + 6
3y = 30
Dividing both sides by 3
y = 10
[tex]\rule[225]{225}{2}[/tex]
Putting y = 10 in Equation # 2
x = 2y - 6
x = 2(10) - 6
x = 20 - 6
x = 14
[tex]\rule[225]{225}{2}[/tex]
The two numbers are 10 and 14.
The sum of 2 numbers is 24.
let the number be x and y . Therefore,
x + y = 24
One is 6 less than twice the other. therefore,
2x - y = 6
Combine the equations
x + y = 24
2x - y = 6
3x = 30
x = 30 / 3
x = 10
x + y = 24
10 + y = 24
y = 24 - 10
y = 14
The 2 numbers are 10 and 14 .
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24x - 22 = -4 (1 - 6x)
Answer:
ffdfssss
Step-by-step explanation:
fdfdfdfd
Answer:
x is invalid.
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Remember to follow PEMDAS.
PEMDAS is the order of operation, and =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, distribute -4 to all terms within the parenthesis:
-4(1 - 6x) = (-4 * 1) + (-4 * -6x) = -4 + 24x
24x - 22 = -4 + 24x
Isolate the variable, x. Subtract 24x from both sides:
24x (-24x) - 22 = -4 + 24x (-24x)
0 - 22 = -4 + 0
-22 ≠ -4, therefore, this question is invalid.
~
What is the angle between the given vector and the positive direction of the x-axis?8i + 6j.
Answer:
The between the given vector and the positive direction of the x-axis is approximately 41.186º.
Step-by-step explanation:
Let be [tex]\vec u = 8\,i + 7\,j[/tex] and [tex]\vec v = i[/tex] (Positive direction of the x-axis), the angle between both vectors can be determined from definition of dot product:
[tex]\vec u \bullet \vec v = \|\vec u\|\cdot \|\vec v\| \cdot \cos \theta[/tex]
Angle is cleared:
[tex]\cos \theta = \frac{\vec u\bullet \vec v}{\|\vec u\|\cdot \|\vec v\|}[/tex]
[tex]\theta = \cos^{-1}\left(\frac{\vec u \bullet \vec v}{\|\vec u\|\cdot \|\vec v\|} \right)[/tex]
The norms of [tex]\vec u[/tex] and [tex]\vec v[/tex] are found by Pythagorean Theorem:
[tex]\|\vec u\| = \sqrt{8^{2}+7^{2}}[/tex]
[tex]\|\vec u\| \approx \sqrt{113}[/tex]
[tex]\|\vec v\| = 1[/tex]
The dot product between both vectors is:
[tex]\vec u \bullet \vec v = (8)\cdot (1) + (6)\cdot (0)[/tex]
[tex]\vec u \bullet \vec v = 8[/tex]
The angle is now calculated:
[tex]\theta = \cos^{-1}\left(\frac{8}{\sqrt{113}} \right)[/tex]
[tex]\theta \approx 41.186^{\circ}[/tex]
The between the given vector and the positive direction of the x-axis is approximately 41.186º.
I need help please! I really need this fast
divide 4,000,000 in the ratio 2 is to 3 is to 4 is to 5 is to 6
Answer:
Step-by-step explanation:
2+3+4+5+6=20
20/20=4,000,000
2/20=?
2/20×4,000,000÷20/20=400,000
20/20=4,000,00
3/20
3/20×4000000÷20/20=600,000
20/20=4,000,000
4/20
4/20×4,000,000÷20/20=800,000
20/20=4,000,000
5/20
5/20×4,000,000÷20/20=1,000,000
20/20=4,000,000
6/20
6/20×4,000,000÷20/20= 1,200,000
2:3:4:5:6=400,000 :600,000: 800,000 : 1,000,000: 1,200,000
If 3x = y - 5 and x = -4, then y =*
Answer:
y = -7
Step-by-step explanation:
3(-4) = y - 5
-12 = y - 5
y = -12 + 5
y = -7
240 students to 12 teachers as ratio
Answer:
1 : 20 20 students for every 1 teacher
Step-by-step explanation:
divide both sides by 12
Select the correct graph for the function ƒ(x) = –x – 7.
Step-by-step explanation:
The second graph is the right one
Answer:
see below
Step-by-step explanation:
f(x) = -x-7 is of the form
y = mx+b where m is the slope and b is the y intercept
The line has a y intercept of (0,-7) and a slope of -1
A slope of -1 means the line goes down from left to right ( down 1 and to the right 1)
What is the sum of 9+10 (;
Answer:
19 or 21.
Step-by-step explanation:
I swear.
5 + 5 = 10
10 + 5 = 15
15 + 4 = 19
________________
9 + 9 = 18
18 + 10 = 28
28 - 5 = 23
There are two nines so
23 - 2 = 21
The area of a triangle is 11.5 square in the base is 23 in what is the height in inches
Answer:
Height = 1 inch
Step-by-step explanation:
area of triangle = 1/2 x base x height
11.5 =1/2 x 23 x height
23/23 = height
height = 1
h = 1 inches
Step-by-step explanation:The area of a triangle = formula
A = b×h/2
2A = b×h
h = 2A/b
h = 2×11.5in²/23in
= 23in²/23in
= 1 in
2a+4b-a+2b=???
Where do I start
Verify that ϕ(x)=2(1−cex), where cis an arbitrary constant, is a one-parameter family of solutions to dydx=y(y−2)2.Graph the solution curves corresponding to c=0,±1,±2using the same coordinate axes.
Answer:
Following are the solution:
Step-by-step explanation:
Given equation:
[tex]\frac{dx}{dy}= \frac{y(y-2)}{2}........(a)[/tex]
[tex]\Phi (x) = \frac{2}{1-ce^x}[/tex]
In the question [tex]\Phi (x)[/tex], is a solution of the equation (a) only if when [tex]\Phi (x)[/tex]satisfies equation (a):
let us find [tex]\Phi' (x)[/tex]:-
[tex]\Phi(x) =\frac{d}{dx} \Phi (x)=\frac{d}{dx}(\frac{2}{1-ce^x})[/tex]
[tex]= 2 \frac{d}{dx}({1-ce^x}^-1)\\\\= 2 (-1) ({1-ce^x})^{-2} \frac{d}{dx}({1-ce^x})\\\\= -2 ({1-ce^x})^{-2} (-ce^x})\\\\= 2(-ce^x) ({1-ce^x})^{-2} \\\\[/tex]
Now:
[tex]\frac{dy}{dx}=\frac{y(y-2)}{2}\\\\\frac{d}{dx}\Phi (x) =\frac{\Phi (x) (\Phi (x)-2)}{2}\\[/tex]
by subtracting the value of [tex]\Phi (x)[/tex]and [tex]\frac{d}{dx}[/tex][tex]\Phi (x)[/tex],we get:
[tex]\to[/tex][tex]2ce^x(1-ce^x)^-2= \frac{(\frac{2}{1-ce^x})(\frac{2}{1-ce^x})^{-2}}{2}[/tex]
[tex]=2ce^x (1-ce^x)^{-2}=\frac{1}{2}[\frac{2}{1-ce^x}(\frac{2-2(1-ce^x)}{1-ce^x)}]\\\\= \frac{1}{1-ce^x} \times \frac{2ce^x}{1-ce^x}\\\\=\frac{2ce^x}{(1-ce^x)^2}\\\\=2ce^x (1-ce^x)^-2[/tex]
[tex]\bold{2ce^x(1-ce^x)^-2=2ce^x(1-ce^x)^-2}[/tex]
[tex]\Phi (x)[/tex] the solution of the given equation. [tex]\Phi (x)[/tex] has one Parameter Family of
[tex]\frac{dy}{dx}=\frac{y(y-2)}{2}[/tex]
[tex]\Phi (x) =\frac{2}{1-ce^x}\\\\_{when} \ \ \ c= 0 \to \Phi (x) =\frac{2}{1-0\times e^x}=2\\\\_{when} \ \ \ c= 1 \to \Phi (x) =\frac{2}{1-1\times e^x}=\frac{2}{1-e^x}\\\\_{when} \ \ \ c= -1 \to \Phi (x) =\frac{2}{1-(-1)\times e^x}=\frac{2}{1+e^x}\\\\_{when} \ \ \ c= 2 \to \Phi (x) =\frac{2}{1-(-2)\times e^x}=\frac{2}{1-2e^x}\\\\_{when} \ \ \ c= -2 \to \Phi (x) =\frac{2}{1-(-2)\times e^x}=\frac{2}{1+2e^x}\\\\[/tex]
Compute the difference: -115-(-115) *
Answer:
0
Step-by-step explanation:
-115-(-115)
Subtracting a negative is like adding
-115 + 115
0
The answer is 0
Because they subtract each other
Michael earns $10 per hour. He regularly works 40 hours per week.
How many overtime hours would he have to work in a week for his
overtime pay to be greater than his regular gross pay?
5. Tania earns $13.50 per hour at the Glendale Florist. She regularly works 40 hours per week. She is paid time-and-a-half for each hour of overtime work. Last week she worked. 43 hours. What was her gross pay for the ...
Missing: michael | Must include: michael
In a box plot, if there is an outlier shown in the picture below, what is considered the min? The outlier or 59?
Step-by-step explanation:
The outlier is excluded, so the minimum is 59.
PLEASE HELPPPPP I WILL MARK YOU BRAINLIEST Akai was eating a pizza over the course of the weekend. On Saturday night, he ate 3/4 of the pizza. On Sunday morning he ate 1/6 of the pizza, and on Sunday night he ate the rest of the pizza. What portion of the pizza did he eat on Sunday night?*
Answer:
50%
Step-by-step explanation:
34+16=50% he or she ate half of the pizza
Please answer I will make you Brainliest if it's right
Answer:
perfect square
Step-by-step explanation:
A cell phone weighs about 2.8x 10pounds. Which value of n is most reasonable?
-3
-1
0
1
Answer:0
Step-by-step explanation: took the quiz
5000000 divided by what equals 400
Is the value of the first 5 ten times as great as the value of the second 5 in 5,045
Answer:
No
Step-by-step explanation:
Its 1000
Can you assume intersection of lines from a diagram
Answer:
No
Step-by-step explanation:
t the two equations for the lines into slope-intercept form. ...
Set the two equations for y equal to each other.
Solve for x. ...
Use this x-coordinate and plug it into either of the original equations for the lines and solve for y.
Simplify the given expression below: (4+2i)-(1–7i)
Answer:
3 + 9i
Step-by-step explanation:
(4 + 2i) - (1 - 7i)
distribute the (-)
(4 + 2i) - 1 + 7i
combine like terms
3 + 9i
plzzz help A model train is on a track 100 cm from its starting point. Turning a switch displaces the train either forward or backward 25 cm along the track depending on which way the switch is turned. Which equation models the position of the train along the track after you turn the switch? A. |x − 25| = 100 B. |x − 100| = 25 C. |x + 25| = 100 D. |x + 100| = 25
Answer: B. |x-100| = 25
Explanation:
Draw out a number line. Mark 75, 100 and 125 on the number line as points A, B, and C in that order. Don't worry about the spacing.
The value of x represents where the train is. So if we had say x = 85, then it would be at location 85 on the number line. Writing |x-100| is the distance from x to 100. The absolute value ensures the distance is never negative. We want this distance to be 25 because after traveling 25 cm, the switch is turned, and the train goes the other way.
The equation which models the movement of the train is represented by |x − 100| = 25. The correct option is B.
What is an equation?One-variable linear equation The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers, and x is a variable. This equation has only one solution. For instance, the linear equation 2x+3=8 only has one variable.
The train's location is indicated by the value of x. Therefore, if x were to equal, let's say, 85, it would be at position 85 on the number line.
The distance between x and 100 is expressed as |x-100|. The distance will never be negative thanks to the absolute value. Because the switch is switched after the train has traveled 25 cm in one direction, we need this distance to be 25 cm.
Therefore, the equation which models the movement of the train is represented by |x − 100| = 25. The correct option is B.
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Which features describe the graph? Select all that apply
Answer:
- Decreasing
Step-by-step explanation:
im not sure of the last two but the others are for sure a no
Solve the inequality. Graph the solution
|2x+7|>23
If 2x+7>=0, x>=-3.5 then |2x+7|=2x+7.
Then the inequality becomes:
2x+7>23, 2x>16, x>8.(which is an acceptable result since we already assumed x>=-3.5)
If 2x+7<0, x<-3.5 then |2x+7|= -(2x+7).
Then the inequality becomes:
-(2x+7)>23, 2x+7<-23, 2x <-30, x<-15.
(which is an acceptable result since we already assumed x<-3.5)
Thus the answer is x<-15 or x>8.
The graph is simple. You draw the line of real numbers and "shadow" all numbers above 8 and all numbers bellow - 15.
8
Answer:
8
Step-by-step explanation:
8 is the digit after 7 and previous to 9