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Snowcat [4.5K]
3 years ago
8

How can you write (x-3)(x+4)-18 as a product of two binomials? Please show work please help

Mathematics
1 answer:
ANEK [815]3 years ago
5 0

Answer:

OPTION C: (x - 5)(x + 6)

Step-by-step explanation:

Given: (x - 3)(x + 4) - 18

Product of (x - 3) and  (x + 4) = x² + 4x - 3x - 12

Therefore, (x - 3)(x + 4) - 18 = x² + x - 30

This is a quadratic equation and the roots are x = 5, -6.

This can be written as binomials as:

  (x - 5)(x + 6) which is the required answer.

So, OPTION C is the answer.

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Is 0.123 greater or is 1.23 greater?<br> Thank you!
zmey [24]

Answer:

1.23 is greater

Step-by-step explanation:

0.123 is only a fraction of a number it’s not a whole number. 1.23 is a whole number with an extra fraction of a number so it’s greater.

3 0
3 years ago
Read 2 more answers
Identify the volume of the composite figure rounded to the nearest tenth.
Verdich [7]

Answer:

  (c)  115.2 ft³

Step-by-step explanation:

The volume of a composite figure can be found by decomposing it into figures whose volumes are easy to compute. Here, the figure can be nicely represented as a cube and a square pyramid.

__

<h3>Cube</h3>

The volume of the cube on the left is given by ...

  V = s³

  V = (4.2 ft)³ = 74.088 ft³

__

<h3>Pyramid</h3>

The volume of the pyramid on the right is given by ...

  V = 1/3Bh . . . . . where B is the area of the square base

  V = 1/3(s²)h = (4.2 ft)²(7 ft) = 41.16 ft³

__

<h3>Total</h3>

The volume of the composite figure is the sum of these volumes:

  cube volume + pyramid volume = 74.088 ft³ +41.16 ft³ = 115.248 ft³

The volume of the composite figure is about 115.2 ft³.

6 0
2 years ago
Find h if V = 30.45 ft3, l = 6.3 ft, and w = 2.5 ft.​
jok3333 [9.3K]

The height (h) of the rectangular prism is: 1.9 feet.

<h3>How to Find the Volume of a Rectangular Prism?</h3>

A rectangular prism has a length (l), height (h), and a width (w). The volume of the rectangular prism is calculated using the formula given as: V = (length)(width)(height).

Given the following parameters:

Volume of the rectangular prism = 30.45 ft^3,

Length (l) = 6.3 ft,

Width (w) = 2.5 ft.​

Height of the rectangular prism (h) = ?

Plug in the values

(6.3)(2.5)(h) = 30.45

15.75h = 30.45

15.75h/15.75 = 30.45/15.75

h ≈ 1.9 ft

Learn more about volume of rectangular prism on:

brainly.com/question/12917973

#SPJ1

4 0
2 years ago
How many full glasses of water will be needed to fill the jug ? Jug= 2.8 litres, Cup= 200ml​
igomit [66]

Answer:

14 cups

Step-by-step explanation:

1 l = 1000ml

to filled the jug we need 2.8 litres

2.8 l to ml

2.8 × 1000

= 2800ml

how many cup would give us 2800ml

2800 ÷ 200

=14 cups

3 0
2 years ago
3.) Duncan spent $70 and now has<br> $120. How much money did he have<br> before spending the 70?
frosja888 [35]

Answer:

He started with $190

7 0
3 years ago
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