All the statements that are true as regards the proportional relationship of the graph are;
A. The equation represents a proportional relationship
B. The unit rate of change of y with respect to x is 1.4
C. The slope of the line is 7/5
D. A change of 2 units in x results in a change of 2.8 units in y
What is the proportional relationship of the graph?The slope intercept form of the equation of a straight line is;
y = mx + b
where;
m is the slope.
b is the y-intercept.
Since the equation is given as y = 1.4x, then the slope is 1.4 and the y-intercept is 0.
A. The equation represents a proportional relationship;
This is true since the equation because y is always 1.4 times as large as x from the given equation relationship.
B. The unit rate of change of y with respect to x is 1.4;
This is true because when we divide both sides by 1.4, we will get;
y/x = 1.4
C. The slope of the line is 7/5;
This means that the slope is 7/5 = 1.4. This is same as the slope given and it is true.
D. A change of 2 units in x results in a change of 2.8 units in y;
This means that the slope is 2.8/2 = 1.4. This is same as the slope given and it is true.
E. A change of 3 units in a results in a change of 1.2 units in y;
This means that slope = 1.2/3
This is not equal to our given slope and so is not true.
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A stream drops 30 feet in elevation over a horizontal distance of 2640 feet. What is the stream gradient
The stream gradient of a stream that drops 30 feet in elevation over a horizontal distance of 2640 feet is 0.01136363636.
Stream gradient is the ratio of drop in elevation of a stream per units horizontal distance. Therefore,
stream gradient = vertical change in elevation / horizontal distance
where
vertical change in elevation = 30 feet
horizontal distance = 2640 feet
stream gradient = 30 / 2640
stream gradient = 0.01136363636
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If a/(a+b) = 37/40 Find a/(a-b)
a/(a+b) = 37/40
(a+b)/a = 40/37
a/a + b/a = 40/37
1 + b/a = 40/37
b/a = 40/37 - 1
= 3/37
1 - b/a = 34/37
(a-b)/a = 34/37
a/(a-b) = 37/34
Good Luck
Which is the algebraic expression for "two times the sum of a number and four'?
*Someone save me.*
Answer:
2(x+4)
Step-by-step explanation:
4.
Identify the vertex of the parabola.
A. . (0, 1)
B. (1, 0)
C. (−1, 0)
D. (0, −1)
Answer:
B. (1, 0)
Step-by-step explanation:
1,0 should be the vertex for this parabola
...................................................................................................................................................
1,0 should be the correct answer
Answer:
B. (1, 0)
Step-by-step explanation:
The vertex is the point where the two lines meet. In this instance, that is at the point (1, 0).
7-2×8+1 evaluate each of the following
Answer:
-8
Step-by-step explanation:
u just do the 2x8 first
Hi! So in equations similar to this, you will need to use PEMDAS.
P - Parenthesis
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
Now that you know this, reevaluate your equation.
7-2x8+1
Firstly, you must multiply -2 and 8. Leaving you with -16.
7-16+1
Next, subtract 16 from 7.
-9 + 1
Finally, add -9 and 1.
-8
Your final answer is -8.
2x+3-3 when x=-6
solve
Answer:
x=9
Step-by-step explanation:
Solve the problem using a system of equations: The difference of the squares of two numbers is 15. The difference of twice the square of the first number and the square of the second number is 30. Find the numbers.
(__,__),(__,__)
The numbers which hold true for the situation modelled in the task content are; (-√15, 0) and (+√15, 0).
Which numbers hold true for the situation?The system of equations which model the situation is;
x²- y² = 15
2x² - y² = 30.
Hence, by subtracting equation 1 from 2; we have;
x² = 15
x = ±√15.
and hence by substitution; the value of y is;
(√15)² + y = 15
y = 0.
Hence, the required values of the numbers are;
(-√15, 0) and (+√15, 0).
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Please help me ASAP please olease
Answer:
x=100 degree's
Step-by-step explanation:
Its 100 degrees because you add 80 and 20 degrees and because I think they might be called congruent angles.
Answer:
pretty sure it's just 100, just add 80 and 20, angles are opposite of each other.
On a map, the scale is 1 inch = 40 miles. What is the actual distance for 3.25 inches shown on the map?
Answer:
130 Miles
Step-by-step explanation:
Please hurry, will mark brainliest if you answer correctly
Answer:
10
Step-by-step explanation:
according to BODMAS
6÷2=3
3+3=6
4^2=16
16-6=10
16 +1 -1 = 17-2
True
False
Answer:
false i think
Step-by-step explanation:
16+1=17-1=16-2=14
find the area of the triangle. 20ft, by 21ft. by 29ft.
Answer:
a=210ft²
The area of the triangle is 210 square feet.
Step-by-step explanation:
This is a right triangle, as shown by the Pythagorean theorem:
[tex]20^{2} +21^{2} =29^{2} \\400+441=841\\841=841[/tex]
The 2 perpendicular legs of a right triangle are also the base and height of a rectangle of the same size. A right triangle is exactly half of that rectangle, and therefore the area of a right triangle is exactly half of the area of that rectangle.
The area of that rectangle is:
[tex]a=b*h\\a=20*21\\a=420[/tex]
And then the area of the triangle is:
[tex]a=\frac{420}{2}\\a=210[/tex]
If p and q vary inversely and p is 15 when q is 17, determine q when p is equal to 51
Step-by-step explanation:
q is inversely to p and we need to add k as the constant..
then find value of k by sub the value of p and q
after that sub the value of k and p to find q
use a calculator to find the square for 7.6
Answer:
Using a calcuator, [tex]7.6^{2} =57.76[/tex]
Answer:
Hey mate....
Step-by-step explanation:
This is ur answer....
Shows me 57.76 well....Hope it helps!
Brainliest pls!
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HELP ME OUT PLEASE
PLS SEND PICTURE OF WHAT TO DO
Use the data to create a scatter plot.
Answer:
(2,5)
(3,8)
(4,13)
(5,12)
(6,18)
(7,20)
Plug those into the scatter plot graph
Step-by-step explanation:
The left side is the x axis and the right side is the y axis
The radius of a circle is 5 ft. Find its circumference in terms of pi
Answer:
10 pi
Step-by-step explanation:
circumference of the circle equals = 2π R = 2*pi* radius
so circumference = 2*5*π = 10π = 10 pi (in terms of pi)
The formula for the circumference of a circle is C = 2πr, where "C" is the circumference, "π" is pi (approximately equal to 3.14), and "r" is the radius.
Given that the radius of the circle is 5 inches, we can substitute this value into the formula to find the circumference:
C = 2πr
C = 2π(5)
C = 10π
Therefore, the circumference of the circle is 10π inches.
A vehicle purchased for $25000 depreciates at a constant rate of 5% per year. Determine the approximate value of the vehicle 12 years after purchase. Round to the nearest whole number.
Answer:
$13,509.
Step-by-step explanation:
After each year the vehicle is worth 95% of the previous value.
95% = 0.95.
So after 12 years the approximate value
= 25000 * 0.95^12
= $13,509.
Which expression is equivalent to 45 divided by (2 - x)
Answer:
45
---------
(2 - x)
Step-by-step explanation:
That would be:
45
---------
(2 - x)
Also valid: 45/(2 - x)
Help me please ill mark you brainly
Answer:
The first one is -6x The second one is 18a to the power 3
Step-by-step explanation:
Help help help help help help help
Answer:
6
Step-by-step explanation:
x coordinate goes left and on 6 line
y coordinate goes up and on 1 line
(x, y)
(6, 1)
x coordinate is 6
Plz help guys!!!!!!!!
Answer:
3
2
Step-by-step explanation:
Translate the English phrase into an algebraic expression: four times the difference of v and one.
Answer:
4(v-1)
Step-by-step explanation:
the answer is 4(V-1)
Answer:
the answer is 4(v-1)
The question is in the picture.
Answer:
[tex]x^{3r-18}[/tex]
Answer:
[tex]x^{3r-18}[/tex]
Step-by-step explanation:
[tex]\frac{1}{x^{18-2r} } x^{r} =\frac{x^{r} }{x^{18-2r} }[/tex]
[tex]=x^{r-(18-2r)} =x^{r-18+2r}[/tex]
[tex]=x^{3r-18}[/tex]
Hope this helps
A random number generator generates numbers from 1 to 10. What is the probability that the number generator generates a 3 ?
Answer:
1/10
Step-by-step explanation:
A kayak is originally priced at $130. The online retailer vives a Discount and the kayak is now priced at $65. Enter the porcentaje Discount for the cost of the kayak
Answer:
50% decrease
Step-by-step explanation:
130-65 = 65
65/130 = 0.5
0.5 x 100 = 50
what number multiplied by 5 9 has a product of 1
9
10
11
12
13
An international company has 21.100 employees in one country. If this represents 23.9% of the company's employees, how many employees does it have in
total?
ok then I don't understand well but I think its 45.10.00
Write a linear function f with the values f(−1)=8 and f(5)=6.
A function is f(x)=
9514 1404 393
Answer:
f(x) = -1/3x +23/3
Step-by-step explanation:
You can use the linear regression function of a graphing calculator or spreadsheet to show you the equation of the line through these points:
f(x) = -1/3x +23/3
__
Approaching this in the usual way, we recognize we have points ...
(-1, 8) and (5, 6)
The slope of the line through those points is ...
m = (y2 -y1)/(x2 -x1)
m = (6 -8)/(5 -(-1)) = -2/6 = -1/3
Then the point-slope equation of the line is ...
y - 8 = -1/3(x +1)
Adding 8 gives us a form we can use for a function definition:
f(x) = -1/3(x +1) +8
f(x) = -1/3x +7 2/3
15 POINTS!!!! Can someone simplify this as much as possible? ty!
245 = 50 + 1s
Step-by-step explanation:
245=50+1s. /-50
195=1s
s=195
Can someone help me with this problem?
Answer:
16.6 ft^2
Step-by-step explanation:
1 foot = 0.3048 meter
1.54 m^2 = (1.54 m^2)·(1 ft/(0.3048 m))^2 = 1.54/0.3048^2 ft^2
≈ 16.6 ft^2
_____
Additional comment
The idea in units conversion is to multiply by a fraction whose value is 1 (because the numerator and denominator are the same amount), but whose units cancel the ones you don't want and give you the ones you do want.
Here, our conversion factor has m^2 in the denominator and ft^2 in the numerator, so it cancels m^2 in the given number and gives a result in ft^2.