All categories

2 years ago

Given one of the roots of the quadratic equation px2- 4x + 3p -8 =0 is 1 . Calculate the value of p

Mathematics

1 answer:

Natali [406]2 years ago

7 0

Answer:

Value of p is 3

Step-by-step explanation:

One of the root is 1.

So, putting 1 in the place of x in the given equation,

px²-4x+3p-8=0

or, p-4+3p-8=0

or, 4p-12=0

or, 4p=12

or, p=3

Answered by GAUTHMATH

You might be interested in

Please answer this question fast in 2 minutes

Dafna1 [17]

Answer:

Angle 4 as it is across from 1 and is equal in size

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

The points in the table lie on a line. Find the slope of the line.

wolverine [178]

Answer

Y=5x+2

I’m not sure but I think that’s the answer

8 0

3 years ago

Ayo someone on help me

777dan777 [17]

Answer:

Step-by-step explanation:

8 0

3 years ago

Gravel is being dumped from a conveyor belt at a rate of 20 ft3 /min and its coarseness is such that it forms a pile in the shap

pantera1 [17]

Answer:

The height of the pile is increasing at the rate of $\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

Step-by-step explanation:

Given that :

Gravel is being dumped from a conveyor belt at a rate of 20 ft³ /min

i.e $\dfrac{dV}{dt}= 20 \ ft^3/min$

we know that radius r is always twice the diameter d

i.e d = 2r

Given that :

the shape of a cone whose base diameter and height are always equal.

then d = h = 2r

h = 2r

r = h/2

The volume of a cone can be given by the formula:

$V = \dfrac{\pi r^2 h}{3}$

$V = \dfrac{\pi (h/2)^2 h}{3}$

$V = \dfrac{1}{12} \pi h^3$

$V = \dfrac{ \pi h^3}{12}$

Taking the differentiation of volume V with respect to time t; we have:

$\dfrac{dV}{dt }= (\dfrac{d}{dh}(\dfrac{\pi h^3}{12})) \times \dfrac{dh}{dt}$

$\dfrac{dV}{dt }= (\dfrac{\pi h^2}{4} ) \times \dfrac{dh}{dt}$

we know that:

$\dfrac{dV}{dt}= 20 \ ft^3/min$

So;we have:

$20= (\dfrac{\pi (15)^2}{4} ) \times \dfrac{dh}{dt}$

$20= 56.25 \pi \times \dfrac{dh}{dt}$

$\mathbf{\dfrac{dh}{dt}= \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

The height of the pile is increasing at the rate of $\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

8 0

3 years ago

Help please asap!! will mark correct answer first brainliest! 25 POINTS.. FIRST SOLVE THE QUESTION WITH THE PICTURE THAN THE ONE

NemiM [27]

1. Eyeballing the data, the best fit will be pretty close to a line between the leftmost point and the rightmost point.

We estimate those points as (4,220) and (28,470)

The point point form for a line joining (a,b) and (c,d) is

(c-a)(y-b) = (d-b)(x-a)

(28 - 4)(y - 220) = (470 - 220)(x - 4)

24(y - 220) = 250(x-4)

24y - 5280 = 250x - 1000

24y = 250 x + 4280

y = (250/24) x+ (4280/24)

Approximately that's,

y = 10.4 x + 178

Answer: 4th choice, 10.4x + 180

2. For 48 wheelbarrows,

y = 10.4(48)+180 = 679.2

Answer: 679.2 liters of sand

4 0

3 years ago