Answer:
given the expression 4x - 2y + z + 5 we see three terms of the expression: 4x, -2y, +z , 5.
Terms are made of two things, a coefficient and a variable.
coefficient variable
4 x
-2 y
+1 z
+5 no variable exists in this term so it is a special term called a constant.
Coefficients can be +/-, fractions, decimals, whole numbers, etc.
In equations the coefficient is often shown as a letter such as
ax + by + 3.
This means (a times x) plus (b times y) plus 3
fractional coefficients looks like this example: x/4 + y/2 - z/3
the coefficient for x is 1/4, the coefficient for y is 1/2 and the coefficient for z is -1/3Step-by-step explanation:
An arithmetic sequence is given below.
15, 19, 23 ,27 …
Write an explicit formula for the nth term an
Step-by-step explanation:
arithmetic sequence means every new term is the previous term plus a certain constant.
as we can see, this constant is +4 in our case.
15 + 4 = 19
19 + 4 = 23
23 + 4 = 27
...
so, we have
a1 = 15
a2 = a1 + 4 = 15 + 4 = 19
a3 = a2 + 4 = a1 + 4 + 4 = a1 + 2×4 = 15 + 8 = 23
...
an = an-1 + 4 = a1 + (n-1)×4 = 15 + (n-1)×4
Written as a rate, 15 miles in 10 hours would be ____ miles per hour.
Answer:
1.5 mph
Step-by-step explanation:
To find the Unit Rate, you need to divide 15 miles by 10 hours to get the # of miles per hour.
15/10 = 1.5
1.5 miles per hour.
A line includes the points (8,6) and (6, 10). What is its equation in point-slope form?
Answer:
-2
Step-by-step explanation:
-4/2
or -2
yeah- ya. right?
W/11+10=10 w/11=0. W=
Answer:
w= 0
Step-by-step explanation:
a. 0/11+ 10= 10
0/11= 0
0+ 10= 10
b. 0/11= 0
Two cars start moving from the same point. One travels south at 60 mi/h and the other travels west at 25 mi/h. At what rate (in mi/h) is the distance between the cars increasing two hours later
25 x 2 = 50
60 x 2 = 120
120 + 50 = 170
So they have travelled 170 miles apart from one another.
or 170 mi/h
PART C
What should the height of a can of fruit juice used as a prop be if its actual
height is 7 inches? Show your work.
Answer:
15 in i am guessing
Step-by-step explanation:
i need to know the height of the can first
The height of a can of fruit juice used as a prop, if its actual height is 7 inches, should be of 3.85 inches.
What is a proportional relationship?A proportional relationship is a linear function that has an intercept of zero and hence it has the output variable y as the multiplication of the input variable x and the constant of proportionality k, as follows:y = kx.
Given that, the input and the output variables in this problem are as follows:
Input variable: Actual height = 80 in
Output variable: Height on set = 44 in
k = 44/80
k = 0.55.
Therefore, the equation is:
y = 0.55x.
Then the height on the set when the actual height is of 7 inches is given by:
y = 0.55(7) = 3.85 inches.
More can be learned about proportional relationships at brainly.com/question/10424180
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If line L is parallel to line M, solve for x and y
Answer:
x = 18, y = 5
Step-by-step explanation:
Because lines L and M are parallel, the corresponding angles 7x - 23 and 49 + 3x are equal. Thus, 7x - 23 = 49 + 3x, or -72 = 2x. Thus,
4x = 72 and x = 18.
Check: Is 7x - 23 = 49 + 3x true when x = 18?
7(18) - 23 = 49 + 3(18)?
103 = 103? yes
Also: If we concentrate on the triangle in the middle of the picture:
49 + (180 - 7x + 23) + (11y - 1) = 180 (sum of the interior angles of a triangle)
Then: 49 + 180 + 23 - 7x + 11y - 1 = 180. But x = 18, so we have:
125 + 11y = 180, or 11y = 55, and so y = 5
The graph of f(x) = 2x is shown on the grid.
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through points (0, 1), (1, 2), (2, 4).
The graph of g(x) = (One-half)x is the graph of f(x) = 2x reflected over the y-axis. Which graph represents g(x)?
On a coordinate plane, an exponential function approaches x = 0 in quadrant 4 and increases into quadrant 1.
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.
On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and curves down into quadrant 4.
On a coordinate plane, an exponential function approaches x = 0 in quadrant 1 and curves down and to the right into quadrant 4.
Answer:
Your answer would be the second option.
Explanation:
As it is looking for an exponential decay function, you must find one. As an exponential function has to be sloping negatively, you must find the graph that does just this. The only graph that does is graph number two. Henceforth your answer is graph number two, or B. (I also did this quiz, and got a 100%)
Hope This Helps!
The graph represents g(x) is B) On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.
What is exponential growth or decay function?Consider the function:
[tex]y = a(1\pm r)^m[/tex]
where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is negative sign, then there is exponential decay happening by r fraction or 100r %
The graph of f(x) = 2x is shown.
it is looking for an exponential decay function, As an exponential function has to be sloping negatively.
Draw the graph of the equation by using the table shown below:
x f(x)
-2 -4
-1 -2
0 0
The graph the exponential function approaches y = 0 in quadrant 1.
The function increases into quadrant 2 and It crosses the y-axis at (0, 1).
Hence, the correct option is B) On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.
Learn more about exponential growth and decay here:
https://brainly.com/question/2193820
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Kolby decided he wanted to go to the amusement park. The amusement park charges $8.00 for entry and $1.40 for each ride.
Part A Write an expression to represent this scenario where r represents the number of rides.
Part B Create and solve an equation to determine how many possible rides Deniss can ride if his parents gave him $26.00
Show your work.
Part A: y=mx+b where m is the slope and b is the constant. $8 for entry is the constant, at is wont change during our equation. $1.4 is our slope as its the cost per ride. r is going to be our x. So our equation will be 1.40r + 8
Part B: Now that we know the amount of money, we can place the $26 for y. So lets solve now with our new equation of:
26 = 1.4r + 8
26 - 8 = 1.4r
18 = 1.4r
18 / 1.4 = r
12.85 = r
Obviously he cant ride 12.85 rides. Typically we round up, but to say he rides 13 rides means he has to have $26.2, which we know he does not have. Therefore, we say that he can ride 12 rides.
Quick math check:
1.4(12) + 8 = $24.8 which is less then $26.
I hope this helps! :)
Evaluate the expression for b = 3 and c = 5.
b2c − 11 =
Answer:
34Step-by-step explanation:
b = 3 and c = 5Substitute and evaluate:
b²c - 11 =3²*5 - 11 = 9*5 - 11 =45 - 11 =34Answer:
[tex]b = 3 \ \: \: : c = 5 \\ \\ b {}^{2} c - 11 = \\ \\ \\ {3}^{2} \times 5 - 11 = \\ \\ 9 \times 5 - 11 = \\ \\ 45 - 11 = \\ \\ = 34[/tex]
Please help meeeeee plzzzzz
tax because the tax shows you what you paid and ect
how to convert m to mm
I need help with a few questions, if you answer one that is Great too!
Answer:
E is (5, 1)
Step-by-step explanation:
Let E be the point (x, y).
(-3 - x)^2 + ( 7 - y)^2 = 10^2 ( Pythagoras theorem)
Now 64^2 + 36^2 = 10^2 so we try:
(-3 - 5)^2 + ( 7- 1)^2 = 100
Giving x = 5 and y = 1 which looks right from the diagram.
I need help on number three pls help
Answer:
(1/2)n
Step-by-step explanation:
I think this should be correct. A will be "1" and then for every scale (n) it will be scaled by 1/2.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
work out the equation of the line which has a gradient of 1/2 and passes through the point (-4,2)
y=x^(2)-8x+15 write in intercept form
!!!!!!!!!!!!!!!!!!!!!!!!!!!!5
How many inches is the box's side?
And please explain how you found the answer
Thank you :)
Answer:
[tex]x\approx 13.27 in[/tex]
Step-by-step explanation:
I'm assuming 24' is the diagonal of the box (red dashed line) and not of the bottom face (black dotted line).
Option 1: easiest if you know/remember the formula for the distance of two points in space (or for the diagonal of a parallelepiped): [tex]d= \sqrt{\Delta x^2+\Delta y^2+\Delta z^2}[/tex] where replacing (and squaring both sides to get rid of the square root) we get
[tex]24^2 = x^2 + 16^2+12^2 \rightarrow 576= x^2+256+144 \rightarrow x^2=176\\x\approx13.27 in[/tex]
Option 2: look at the triangle that has sides the forward left edge of the box, the dotted diagonal and the dashed diagonal. It's a right triangle of hypotenuse 24 and side length 12. Pythagorean theorem to find the missing side lenght
[tex]24^2 = l^2+12^2 \rightarrow l^2 = 432 \rightarrow l\approx 20.78 in[/tex]
At this point we're back at the right triangle of the bottom face of the box, of hypotenuse 20.78' and side lenght 16'. Phythagorean theorem again:
[tex](20.78)^2= 16^2 +x^2 \rightarrow 432 = 256+x^2\\x^2 = 176 x \approx 13.27[/tex]
0 4
2 10
4 16
6 22
what is the slope?
what is the y-intercept?
proportional or not proportional?
I think is non proportion
plz help will mark as brainliest
Step-by-step explanation:
tae tae tae tae tae tae tae tae
For the equation y = 2 = – 21 find x when y = 2.
Answer: 2 = 3/4x -2 1/2
2 = 3/4•x -(2 + 1/2)
3x = 18
x = 6
Answer: Hope This Helps
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (10/3 ,0)
y-intercept(s): (0−5/2)
Compounds A and B are used in an experiment. The equation y=1200(12)x represents the remaining amount of compound A, in grams, after x minutes. The table shows the remaining amount of compound B. Time (min) Grams of B 1 750 2 375 3 187. 5 What is the positive difference in the initial amount of each compound? Enter your answer in the box. G.
Answer:
Yamete Kodasai
Step-by-step explanation:
Thankyou sa pnts
A line goes through the points (5, -1) and (7, -5). What is a possible equation to a new line that is perpendicular?
Step-by-step explanation:Equation of line perpendicular to , x=4 is
y +k=0
As, keep in mind , the equation of line perpendicular to , ax + by +c=0 is b x - a y +c=0
As, given the line perpendicular to, x =4, passes through the point (5,7).
So, y+k =0, passes through (5,7).
→ 7 +k=0
→ k= -7
So, line perpendicular to x=4, which passes through the point (5,7) is →y-7=0 that is y=7.
David walked for 20 minutes with the speed of 3 mph. How far did he walk?
HELP!!!
Answer:
1 mile
Step-by-step explanation:
1 hour = 3 miles
20 minutes is 1/3 of an hour, so he walks 1 mile
this got me confused but can somebody please tell me what the answer is to: 7(2x - 3) = 14x + 7
Answer:
14x-21=14x +7
x cancels all out which leaves with just
28
Answer:
There is no x that satisfies the condition.
Step-by-step explanation:
7(2x - 3) = 14x + 7
14x - 21 = 14x + 7
-21 = 7
contradiction
plz answer this 20 points
Find the coordinates of R please
Answer:
3,-3
Step-by-step explanation:
The coordinates are 3 and -3. x is 3 and y is -3.
Answer:
(3,-3)
Step-by-step explanation:
as the answer is at down of x axis
y+x=1 2x+y=5 x+y=5 solve
Answer:
x=5-y
Step-by-step explanation:
please solve the question
resolve into factors : a^3 + 35b^3 + (a -b)^3
Step-by-step explanation:
a^3+35b^3+a^3-b^3
2a^3+34b^3
Answer:
2a^3 + 34b^3 - 3a^2b + 3ab^2