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3 years ago

Write a polynomial function in standard form with the given zeros 1, -1, -4

Mathematics

1 answer:

Reil [10]3 years ago

4 0

since its the zeros it should be x -/+ something

(x-1)(x+1)(x+4)

multiply for standard form

((x^2)-1)(x+4)

x^3-x

+ x^2 -4

x^2 + x^2 -x -4

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The area A of a triangle with base b and height h is given by A = = bh. Find the area when b = 18 m (meters) and h = 30 m.

Pie

Answer:

$Area = 270m^2$

Step-by-step explanation:

Given

$A = \frac{1}{2}bh$

$b = 18m$

$h = 30m$

Required

Solve for A

Simply substitute 18 for b and 30 for h

$A = \frac{1}{2}bh$

$A = \frac{1}{2} * 18 * 30$

$A = 270$

Hence:

The area is

$Area = 270m^2$

6 0

2 years ago

3x - 4y = -15 ; 4x +3y =5

Kipish [7]

Using elimination method to find y
3x - 4y = -15 (multiply 4)
4x + 3y = 5 (multiply 3)
------------------------------------
12x - 16y = -60
12x + 9y = 15
--------------------- - (substract)
-25y = -75
y = 3

Using subtitution method to find x
3x - 4y = -15
3x - 4(3) = -15
3x - 12 = -15
3x = -3
x = -1

The solution (-1,3)

4 0

3 years ago

12 less than a number is the same as 5 times the same number increased by 4

Lina20 [59]

Answer: 12<5x+4

Step-by-step explanation:

7 0

2 years ago

You have an ice cream scoop with a 2-inch diameter. You have an ice cream cone with a 2-inch diameter and a height of 5 inches.

lord [1]

Answer:

No, because the volume of the cone is greater than the volume of the ice cream scoop.

Step-by-step explanation:

To solve this problem we just need to compare the volume of the ice scream scoop with the volume of the ice cream cone.

The ice scream scoop is a sphere with a diameter of 2 inches (so a radius of 1 inch), then the volume is:

V = (4/3) * pi * r^3

V = (4/3) * pi * 1^3

V = 4.1888 in3

Now, to find the volume of the ice cream cone, we just need to use the formula of the cone volume (with radius = 1 inch):

V = (1/3) * pi * r^2 * h

V = (1/3) * pi * 1^2 * 5

V = 5.236 in3

As the volume of the cone is greater than the volume of the ice cream scoop, the ice cream will not spill over the cone after melting.

8 0

2 years ago

Find the volume of the following cylinder. leave your answer in terms of pie

Leno4ka [110]

753.6cm3

Step-by-step explanation:

V=3.14cm×4cm×4cm×15cm

V=753.6cm3

8 0

3 years ago