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Artemon [7]
3 years ago
7

Let f(x) = -4x - 2 and g(x) = 5x - 6. Find f×g and state its domain

Mathematics
1 answer:
Lilit [14]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

f(x) × g(x)

= (4x - 2)(5x - 6) ← expand factors

= 20x² - 24x - 10x + 12 ← collect like terms

= 20x² - 34x + 12

This is a polynomial of degree 2 and is defined for all real values of x

domain : x ∈ R

You might be interested in
The surface areas of two similar hexagonal prisms are 882cm² and 1,058 cm²? What is the scale factor of the smaller
max2010maxim [7]

Answer:

scale factor of the smaller  prism to the larger prism is B. 21/23

Step-by-step explanation:

Given

surface areas of two similar hexagonal prisms are 882cm² and 1,058 cm²?

scale factor is ratio of sides of two similar objects

thus scale factor for given prism will be = side of smaller prism / side of larger prism

in general rule

If shape of solid has scale factor of k

scale factor of area = k²

scale factor of volume = k³

_____________________________

Given in the problem area of two prism is given

we know area = side^2

scale factor of area = k²

k^2 = area of smaller prism / area of larger prism

k^2 = 882 / 1058 = 441/529\\k = \sqrt{ 441/529} \\k = 21/23

Thus, correct option is B 21/23.

7 0
3 years ago
17. Which of the following measures can be calculated for qualitative data? a. Mean b. Median c. Mode d. All of these
VLD [36.1K]

Answer: C. Mode

Step-by-step explanation:

Qualitative data applies to observable data such as reoccurring patterns (mode)

Quantitative data applies to numbers and numerical calculations (Mean, Median)

6 0
3 years ago
Each wheel on Nina's car has has a diameter of 18 inches.Which expression could be used to find the circumference of the wheel?
serg [7]

Answer:

56.548667764616276

Step-by-step explanation:

Multiply the diameter by pi.

C= 18 x 3.14159265

Hope this helps!

7 0
3 years ago
A line passes through $A(1,1)$ and $B(100,1000)$. How many other points with integer coordinates are on the line and strictly be
jonny [76]

Answer:

98

Step-by-step explanation:

Integers are whole numbers or opposite of whole numbers.

The slope is 1.

How?

Change of y is 100-1=99.

Change of x is 100-1=99.

The slope is 99/99=1 or 1/1.

So if we start at (1,1) and we rise 1 and run 1 right, we get (2,2).

If we do that again from (2,2) we get (3,3).

Following the pattern of going up 1 and right from each new location discovered we get all the of these points:

Start (1,1)

(2,2)

(3,3)

(4,4)

(5,5)

(6,6)

....

(96,96)

(97,97)

(98,98)

(99,99)

end (100,100)

So we just need to count all the numbers from 2 to 99.

99-2+1

97+1

98

7 0
2 years ago
6/1 x (4/5 + 2/10) 2/3
dem82 [27]

The result can be shown in both exact and decimal forms.

Exact Form:

2

3

Decimal Form:

0.

¯

6

5 0
3 years ago
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