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Andreas93 [3]
3 years ago
7

Find the gradient and the coordinates of the y - intercept for the graph: y= 4 + 2x

Mathematics
2 answers:
LiRa [457]3 years ago
8 0
Well gradient means "slope" I just found out from searching the web.
First let's put y = 4 + 2x into slope intercept form of y = mx + b
y = 2x + 4
"m" is the slope, in this equation it would be 2.
The slope or "gradient" is 2.

The y-intercept of any equation in slope intercept form is the value of "b"
In this equation, the y-intercept is 4.
poizon [28]3 years ago
7 0
Y = 2x + 4 is in the form of y = mx + b, where m is the gradient and b is the y-intercept.

y = 2x + 4
y = mx + b

m = gradient = 2
b = y-intercept = 4

The gradient is 2.
The y-intercept is 4.
You might be interested in
Eight more than the product of some number cubed and two
Greeley [361]
 8+ the product of 2 and a number to the third power, what it means 2×m cubed. So it is 8+2m (cubed)
4 0
3 years ago
Find a5, when a1 =4, r=5
sasho [114]

Answer:

Answer: a5 = 2500

Step-by-step explanation:

For a geometric sequence:  

First term = a0  

Second term = a1 = a0*r  

Third term = a2 = a0*r^2  

Fourth term = a3 = a0*r^3  

....  

nth term = a(n-1) = a0*r^(n-1)  

Given: a1 = 4 = a0*r  

Also: r = 5  

So, a0*5 = 4 => a0 = (4/5)  

a5 = a(6-1) = Sixth term = a0*r^5 = (4/5)*5^5 = 2500  


Hope this helps

correct me if im wrong☺


3 0
4 years ago
Members of the student concil are conducting a fundraiser by selling school calendars. After selling 80 calendars, they had a lo
Oksana_A [137]

Answer:

a)  y=8x-1000

b) profit=\$8

c) They'd have lost $1000 if they had sold no calendars.

Step-by-step explanation:

a) The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

In this case we know that "y" represents the profit of loss and "x" the number of calendars sold.

Then, according to the exercise, the line passes through these two points:

(80,-360) and (200,600)

Then, we can find the slope of the line with the formula m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{-360-600}{80-200}=8

Now, we can substitute the slope and one of those points into y=mx+b and solve for "b":

600=8(200)+b\\\\b=-1000

Then, subtituting values, we get that the equation that describes the relation between the profit of loss and the number of calendars sold, is:

y=8x-1000

b) The slope of the line is the profit they made from selling each calendar

profit=8

c) The y-intercept is the amount they would have lost if they had sold no calendars:

b=-1000

They'd have lost $1000 if they had sold no calendars.

6 0
3 years ago
Solve using the square root property.X^2=-12
Alla [95]

Answer:

x = ± 2i\sqrt{3}

Step-by-step explanation:

note that \sqrt{-1} = i

x² = - 12 ( take square root of both sides )

x = ± \sqrt{-12} = ± \sqrt{4(3)(-1)} = ± 2i\sqrt{3}

5 0
2 years ago
( -2 ) × (4.5) equals
KatRina [158]

Answer:

-9

Step-by-step explanation:

A negative times a positive make a negative outcome. (Using rule of integers)

2×4.5=9

Make it negative to get -9

3 0
3 years ago
Read 2 more answers
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