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ArbitrLikvidat [17]
3 years ago
15

What is the highest mulitipul of 2&3

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
5 0
Hope it's 30. .....................
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What are the x-intercepts of the parabola?
puteri [66]

Answer:

(5,0) & (4,0)

Step-by-step explanation:

The x-intercepts are where the graph touches the x-axis. The parabola clearly touches in the x-axis at points 4 and 5.

5 0
2 years ago
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Factor 7(x − 3)2 − 4(x − 3) − 3 completely.
Nezavi [6.7K]
7(x-3)^2-4(x-3)-3\\\\substitute\ t=x-3,\ then\ we\ have\\\\7t^2-4t-3\\\\a=7;\ b=-4;\ c=-3\\\\\Delta=b^2-4ac\\\\\Delta=(-4)^2-4\cdot7\cdot(-3)=16+84=100\\\\t_1=\dfrac{-b-\sqrt\Delta}{2a};\ t_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{100}=10\\\\t_1=\dfrac{-(-4)-10}{2\cdot7}=\dfrac{4-10}{14}=\dfrac{-6}{14}=-\dfrac{3}{7}\\\\t_2=\dfrac{-(-4)+10}{2\cdot7}=\dfrac{4+10}{14}=\dfrac{14}{14}=1\\\\7t^2-4t-3=7\left(t+\dfrac{3}{7}\right)(t-1)=(7t+3)(t-1)\\\\=(7(x-3)+3)(x-3-1)=(7x-21+3)(x-4)\\\\=\boxed{(7x-18)(x-4)}
7 0
3 years ago
Of all rectangles with area 324324​, which one has the minimum​ perimeter? Let P and w be the perimeter and​ width, respectively
ra1l [238]

Answer:

For w = 18 units perimeter is minimum

P = 2(18 + w)

Step-by-step explanation:

Given;

Area of the rectangle = 324 units²

P is the perimeter

w is the width

Let L be the length of the rectangle

therefore,

P = 2(L + w)  ............(1)

also,

Lw = 324

or

L = \frac{324}{w} ..........(2)

substituting 2 in 1

P = 2(\frac{324}{w} + w)

now,

for minimizing the perimeter

\frac{dp}{dw}=\frac{d(2(\frac{324}{w} + w))}{dw} = 0

or

2((-1)\frac{324}{w^2}+1) = 0

or

(-1)\frac{324}{w^2}+1 = 0

or

(-1)\frac{324}{w^2} = -1

or

w² = 324

or

w = 18 units

For w = 18 units perimeter is minimum

therefore,

from 2

L = \frac{324}{18}

or

L = 18 units

objective function for P is:

P = 2(18 + w)

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3 years ago
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If the volume of a rectangular prism was 45 cubic feet, what would be the volume of a rectangular pyramid with the same area bas
alexandr1967 [171]

Answer:

1/3 of 45 = 15 cubic feet

Step-by-step explanation:

volume of rectangular prism = (B)(h)

volume of rectangular pyramid = 1/3(B)(h)

8 0
3 years ago
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