Answer:
-2 inches per hour
Step-by-step explanation:
Finding the average rate of change is just like finding the slope. So, take the y values (height) and subtract them and divide that by the difference in the x values (time).
( 3 - 9 ) / ( 8 - 5 )
= -6 / 3
= -2 inches per hour
12x-15 distributive property
[tex]\\ \sf\longmapsto 12x-15[/tex]
Distributive property
A(B+C)=AB+ACTake 3 common
[tex]\\ \sf\longmapsto 3(4x-5)[/tex]
Done
Given f(x) = 8 — x/6 evaluate f(66). Leave your answer in fraction form.
Answer:
f(66) = -3
Step-by-step explanation:
f(x) = 8 - x/6 Substitute 66 for the vale of x and solve
f(66) = 8 - 66/6
f(66) = 8 - 11
f(66) = -3
Write the given equation of a line that passes through the given point (-2,-1) and (0,-5)
Step-by-step explanation:
2x+y+5=0 is the required equation of the line
2x+10=4.what are the steps to follow as to get the actual value of X
Evaluate the expression for b= 12
Answer:
-5
Step-by-step explanation:
substitute -b for -12 and add 7
Solve it ( i'll select u as brainlist )
Answer:
x=5/6 y=8/5
Step-by-step explanation:
times the second one w 2
equals to -12x+10y=-6
then add this to the above one together,you can eliminate the x, then solve an equation w only y.
after you get y, get it into whatever the above one or below one,you will get the x as well
Answer:
x = 5/6
y = 1 and 3/5
Step-by-step explanation:
12x + 15y = 34
-6x + 5y = 3
12x + 15y = 34
3(-6x + 5y = 3)
12x + 15y = 34
-18x + 15y = 9
30x = 25
30x/30 = 25/30
x = 5/6
-6x + 5y = 3
-6(5/6) + 5y = 3
-5 + 5y = 3
+5 +5
5y = 8
5y/5 = 8/5
y = 1 3/5
y=1/2x+4
y=-2x+9
elmantion or substutuion method
Answer:
(2;5)
Step-by-step explanation:
Elimination:
Let's first multiply the first by 2 to clear fractions and write them both in standard form:
[tex]\left\{ {x-2y=-8} \atop {2x+y=9}} \right. \\[/tex]
Eliminate x: Multiply the first by 2, then subtract the equations:
[tex]2I-II: 2x-4y-2x-y=-16-9\\-5y=-25 \rightarrow y= 5[/tex]
Eliminate y: Multiply the second by 2, then add equations:
[tex]I+2II: x-2y +4x+2y = -8+18\\5x=10 \rightarrow x=2[/tex]
Subtsitution
Solve the first for y (oh, what a coincidence, it's done already!) and replace the value in the second.
[tex]\frac12x +4 = -2x+9 \rightarrow \ x+8=-4x+18\\x+4x = 18-8 \rightarrow 5x=10 \rightarrow x=2[/tex]
Then let's plug this value into a convenient one - let's say, the first - and find y from there:
[tex]y=\frac12\cdot 2 +4\rightarrow y =1+4 \rightarrow y=5[/tex]
If anyone tries saying it's not substitution, bring the system in standard form, as you did for the elimination method, then solve again for y.
V^2=u^2 + 2as rearrange to s subject
[tex]v^2 = u^2 + 2as \\\\\implies 2as = v^2 -u^2 \\\\\implies s = \dfrac{v^2 - u^2}{2a}[/tex]
Use the information given to enter an equation in standard form.
(−1, 1) and (0, 2) .
First find the slope:
m = ( 2 - 1 ) / ( 0 - (-1) ) = 1 / 1 = 1
Set up slope-intercept form:
y = 1·x +2
Now move x and y to the left and leave 2 on the right:
-x + y = 2
This is also equivalent to x - y = -2, so that just depends if you want your x coefficient to be positive or negative.
Answer:
Standard form: x - y = -2
Step-by-step explanation:
The standard form of linear equations is Ax + By = C, where A, B, and C are integers; A and B ≠ 0, and A is a non-negative integer.
Given the two points, we must first solve for the value of the slope.
Let (x₁, y₁) = (-1, 1)
(x₂, y₂) = (0, 2)
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
m = (2 - 1)/[0 - (-1)]
m = 1/(0 + 1) = 1
Therefore, the value of the slope, m = 1.
Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis. The y-intercept is also the value of y when x = 0. One of the given points happens to be the y-intercept, (0, 2). Its y-coordinate is the value of b in the slope-intercept form, y = mx + b. Substitute the slope and the y-intercept into the equation:
y = mx + b
y = x + 2
Next, we need to rewrite the slope-intercept form into its standard form, Ax + By = C:
y = x + 2
Subtract x from both sides:
- x + y = x - x + 2
-x + y = 2
Multiply both sides of the equation by -1, so that the coefficient of x becomes a positive integer:
(-1) (-x + y) = 2(-1)
x - y = -2 ⇒ This is the standard form where A = 1, B = -1, and C = -2
Determine whether these two ratios
form a proportion:
8/10 and 24/30
2+2+30+40+15000+18000
Answer:
33074
Step-by-step explanation:
Please give brainliest
Answer:
[tex]2 + 2 + 30 + 40 + 15000 + 18000 = 33074[/tex]
[tex]i \: hope \: it \: is \: helpfull[/tex]
A line passes through the points (4, 6) and (8, 7). What is its equation in point-slope form?
Answer:
y - 6 = 1/4(x - 4).
Step-by-step explanation:
The slope m = (7-6)/(8-4) = 1/4
y - y1 = m(x - x1)
Using the point (4, 6)
y - 6 = 1/4(x - 4) (answer)
The equation of line passes through the points (4, 6) and (8, 7) will be;
⇒ y = 1/4x + 5
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (4, 6) and (8, 7).
Now,
Since, The equation of line passes through the points (4, 6) and (8, 7) .
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (7 - 6) / (8 - 4)
m = 1 / 4
m = 1/4
Thus, The equation of line with slope 1/4 is,
⇒ y - 6 = 1/4 (x - 4)
⇒ 4 (y - 6) = x - 4
⇒ 4y - 24 = x - 4
⇒ 4y = x - 4 + 24
⇒ 4y = x + 20
⇒ y = 1/4x + 5
Therefore, The equation of line passes through the points (4, 6) and
(8, 7) will be;
⇒ y = 1/4x + 5
Learn more about the equation of line visit:
https://brainly.com/question/18831322
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x + y = 8
Now let x = 7. What is y?
Answer:
1 cuz 7+1=8
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
x=7
y=1
7+1=8
Which expression is equivalent to 21 x + 35 y – 14 = 0?
y = x + 2
B y = x – 7
C y = -x + 14
D 3x + 5y = 2
Answer: D: 3x + 5y = 2
Step-by-step explanation:
D. Divide 21 x + 35 y – 14 = 0 by 7 to get:
3x + 5y -2 = 0
Rearrange: 3x + 5y = 2
Solve for x:
x+1/4 = 5/8
STEP 1: Cross multiply and write the new equation: ________
STEP 2: Add/Subtract on both sides and write the new equation: _______
STEP 3: Divide both sides of the equation and write the solution:
x = ________
Answer:
x = 3/8
Step-by-step explanation:
[tex]x + \dfrac{1}{4}=\dfrac{5}{8}\\\\\dfrac{4x + 1}{4}=\dfrac{5}{8}[/tex]
Cross multiply,
8*(4x +1) = 5*4
8*4x + 8*1 = 20
32x + 8 = 20
Subtract 8 from both sides
32x = 20 - 8
32x = 12
Divide both side by 32
x = 12/32
x = 3/8
please help I don't understand what it wants :(
NO LINKS!!!!!!!!
Below are two parallel lines with a third line intersecting them.
× = ____ °
Answer:
x=116°
Step-by-step explanation:
we have two parallel line and x=116
Use quadratic regression to find a function that fits the following points. (-2,-16), (3,11), (0,2).
Answer:
y = -1.2x² +6.6x +2
Step-by-step explanation:
The quadratic regression function of a calculator or spreadsheet can do this for you. The resulting function is ...
y = -1.2x² +6.6x +2
_____
If you want to do this by hand, put the given (x, y) values into the formula ...
ax² +bx +c = y
and solve the resulting system of equations.
The third point tells you c=2, so you can simplify the system of equations to ...
a(-2)² +b(-2) +2 = -16 ⇒ 4a -2b = -18 ⇒ 2a -b = -9
a(3)² +b(3) +2 = 11 ⇒ 9a +3b = 9 ⇒ 3a +b = 3
Adding these equations together gives ...
(2a -b) +(3a +b) = (-9) +(3)
5a = -6 . . . . . . . . simplify
a = -1.2 . . . . . . . divide by 5
b = 3 -3a = 3 -3(-1.2) = 6.6 . . . . from the second equation
Now we know the coefficients are a=-1.2, b=6.6, c=2, so the function is ...
y = -1.2x² +6.6x +2
help with these questions pls
Answer:
1. 5 + r/14
2. 3x -4 = 23
Answer:
1. 5 + r/14
1. 3x - 4 = 23
Step-by-step explanation:
1. Remember, the quotient is obtained by dividing one quantity by another. In the sentence it is stated that "the quotient of r and 14" which means: r divided by 14.
The sentence models 5 + r/14
2. We are to subtract 4 from the product of 3 and x. So part of the equation looks like: "3x-4". Since it is stated that 23 is the total sum, then the answer is: 3x - 4 = 23
PLSSSSSSSSS I WILI WILL GIVE BRAINLIEST PLSSSSSSSSSSS
The area of a rectangle is 3/4 square yards. If the width of the rectangle is 3/5, what is the length?
EXPRESSION :
ANSWER:
Answer:
3/8 or 0.375
Step-by-step explanation:
............
Answer:
5/4
Step-by-step explanation:
Area of a rectangle = length * width
A = 3/4, W = 3/5, L = ?
3/4 = L * 3/5
[tex]\frac{3}{4}= L\frac{3}{5}[/tex]
L * 3 * 4 = 3 * 5
12L = 15
L = 15/12 = 5/4
What is the slope of the graph shown below?
Answer:
A -2
Step-by-step explanation:
the line meets up there and it would be rise divided by run and it would get you -2
Answer:
Step-by-step explanation:
You look at where the lines cross a point, which could be (-1,3) and (0,-2). By looking at the graph and using rise over run, your slope would be -5.
Find the perimeter.Simplify your answer.
Answer:
24x-6
Step-by-step explanation:
To find the perimeter we have to ads all of our sides to together
8x-3+8x-3+4x+4x
Combine light terms
24x-6
I dont know how to solve these still
Answer:
x = 20*
Step-by-step explanation:
180 - 110 = 70
90 - 70 = 20
x = 20*
reason is #5 Algebra
Have a nice day! :-)
In the following figure the value of x is.....
a)10 b) 15 c) 65 d) 25
Answer:
"In the following figure"?
There is no following figure
Step-by-step explanation:
Which equation has no solution?
A.
B.
C.
D.
Answer:
C.
Step-by-step explanation:
The equation will have no solution if it reduces to the form ...
1 = 0
Other possible forms are ...
0 = 0 . . . . infinite solutions
y + c = 0 . . . . one solution
___
The given equations can be reduced to one of these forms by subtracting the right-side expression from both sides.
A. 2.3y +2 +3.1y -(4.3y +1.6 +1.1y +0.4) = 0 ⇒ 0 = 0 (infinite solutions)
B. 32x +25 -21x - 10x = 0 ⇒ x +25 = 0 (one solution)
C. 5/8x +2.5 -(3/8x +1.5 +1/4x) = 0 ⇒ 1 = 0 (no solutions)
D. 1/3 +1/7y -3/7y = 0 ⇒ y -7/6= 0 (one solution)
please be quick i dont have that much time
Answer:
To find the sum of interior angles in a polygon, we can use the formula:
[tex]180(n-2)[/tex] where n is the number of sides.
Since this is pentagon (5 sides), then [tex]180(5-2)=180*3=540[/tex]
The missing angle would then be
[tex]540-97-111-104-115=113[/tex]
Since angles on a straight line add up to 180, then
[tex]x+113=180[/tex]
[tex]x=67[/tex]
Which theorem does it offer proof of?
Answer:
vertical angles are =
Step-by-step explanation:
what is the number name of (i)46,25,689and (ii)658,902,250
Answer:
forty six hundred thousand tweny five thound and six hundred eighty nine
six hundred and fifty eight hundred nine thoundsand two and two hundred and fifty
Step-by-step explanation:
The function P(h) = 21h represents the total salary at a rate of $21 per
hour, P. as a function of the number of hours worked, h.
Find the total salary, when the number of hours worked is 34.
Replace h with 34:
p(h) = 21(34)
Multiply :
21x 34 = 714
Answer: $714
which table represents a linear function?
Answer:
the first
Step-by-step explanation:
fill in the blank to make the fractions equivalent. 5/6 ?/12
Answer: 5/6 = 10/12
Step-by-step explanation: