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3 years ago

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

2 answers:

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

Imagine the fire department had to evacuate the 25th floor of an office building. For firefighters to safely reach people at thi

joja [24]

Answer:

Check Explanation

Step-by-step explanation:

Some information required to answer this question is missing, but on a general basis, here goes the carefully researched response.

Majority of popular truck ladders are about 75 to 105 feet long. There are special truck ladders that reach up to 125 feet.

The length of a truck ladder is naturally limited by weight. The weight has to not be too much so that the truck can still move at a good enough speed on the roads. The weight of these ladders are primarily dependent on the strength of the metal used to make them.

At the top of these ladders, on a windy day, eind interference can cause the ladder to move back and forth all over the place, rhereby endamgerimg lives further and using a light material because we want the truck to still be able to move, will not work because light ladders especially, are easily carried by wind.

The 105-foot aerial ladder can reach 7 to 8 floors depending on the height of the floors.

The 25th floor of an office building can be accessed using a ladder that is about 225 ft long and that simply, is not feasible at all to manufacture this ladder considering the required weight and how too far away in the air this ladder would be, there would be little or no control over this.

Hence, a more realistic solution would be an helicopter that is steadied to slowly get people out of that floor.

Also, if the elevators or stairs are still accessible, these are better alternatives than a 225 ft long ladder aiming to reach the 25th floor.

Hope this Helps!!!

4 0

3 years ago

The random variable X is exponentially distributed, where X represents the waiting time to be seated at a restaurant during the

erastova [34]

Answer:

The probability that the wait time is greater than 14 minutes is 0.4786.

Step-by-step explanation:

The random variable X is defined as the waiting time to be seated at a restaurant during the evening.

The average waiting time is, β = 19 minutes.

The random variable X follows an Exponential distribution with parameter $\lambda=\frac{1}{\beta}=\frac{1}{19}$ .

The probability distribution function of X is:

$f(x)=\lambda e^{-\lambda x};\ x=0,1,2,3...$

Compute the value of the event (X > 14) as follows:

$P(X>14)=\int\limits^{\infty}_{14} {\lambda e^{-\lambda x}} \, dx=\lambda \int\limits^{\infty}_{14} {e^{-\lambda x}} \, dx\\=\lambda |\frac{e^{-\lambda x}}{-\lambda}|^{\infty}_{14}=e^{-\frac{1}{19} \times14}-0\\=0.4786$

Thus, the probability that the wait time is greater than 14 minutes is 0.4786.

7 0

3 years ago

The height of a trapezoid can be expressed as x – 4, while the bases can be expressed as x + 4 and x + 9. if the area of the tra

AlexFokin [52]

Answer: 19 cm

Step-by-step explanation:

$A_{trapezoid}=\frac{b_{1}+b_{2}}{2}*h$

99 = $\frac{(x+4 + x+9}{2}*(x - 4)$

99 = $\frac{(2x + 13}{2}*(x - 4)$

198 = (2x + 13)(x - 4)

198 = 2x² + 5x - 52

0 = 2x² + 5x - 250

0 = 2x²- 20x + 25x - 250

0 = 2x(x - 10) + 25( x - 10)

0 = (2x + 25)(x - 10)

0 = 2x + 25 or 0 = x - 10

$-\frac{25}{2}$ = x or x = 10

Since length cannot be negative, $-\frac{25}{2}$ can be disregarded

Larger base: x + 9 = 10 + 9 = 19

5 0

3 years ago

Read 2 more answers

Find the range for the possible values for x

ziro4ka [17]

I think 6 because 12=3x-6

8 0

3 years ago

(Multiple Choice Worth 4 points)

fgiga [73]

Rectangle A
P = 2l + 2w
P = 2(3x + 2) + 2(2x - 1)
P = 2(3x) + 2(2) + 2(2x) - 2(1)
P = 6x + 4 + 4x - 2
P = 6x + 4x + 4 - 2
P = 10x + 2

Rectangle B
P = 2l + 2w
P = 2(x + 5) + 2(5x - 1)
P = 2(x) + 2(5) + 2(5x) - 2(1)
P = 2x + 10 + 10x - 2
P = 2x + 10x + 10 - 2
P = 12x + 8

Rectangle B - Rectangle A
(12x + 8) - (10x + 2)
12x - 10x + 8 - 2
2x + 6

The correct answer is B.

5 0

3 years ago