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zhuklara [117]
3 years ago
13

•Let x represent the number of horses •the number of goats is 5 less than the number of horses •the total number of horses and g

oats is 21 What is x, the number of horses on the farm?
Mathematics
1 answer:
Nesterboy [21]3 years ago
8 0

Answer: x=13

Step-by-step explanation:  

(x-5) + x = 21  given

2x-5=21          combined like terms

2x=26             addition property of equality

x=13                 division property of equality

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A table saw is on clearance for 20% off. If the sale price of the table saw is $380, what was the original price? Justify your s
Nikolay [14]

20% off means it is selling for 80% of the original price ( 100% - 20% =80%)

Divide the sale price by 80% as a decimal:

380/0.80 = 475

The original price was $475

Justify:

Multiply the original price by 20% and subtract:

475 x 0.20 = 95

475-95 = $380 which is the sale price.

5 0
3 years ago
Read 2 more answers
HEEELP
Drupady [299]

Answer: (c)

Step-by-step explanation:

Given

f(x)=\dfrac{1}{x-3}\\\\g(x)=\sqrt{x+5}

Here, \sqrt{x+5}\ \text{is always greater than equal to 0}\\\Rightarrow x+5\geq 0\\\Rightarrow x\geq -5\quad \ldots(i)

To get f\left(g(x)\right), replace x in f(x) by g(x)\ \text{i.e. by}\ \sqrt{x+5}

\Rightarrow f\left(g(x)\right)=\dfrac{1}{\sqrt{x+5}-3}\\\\\text{Denominator must not be equal to 0}\\\\\therefore \sqrt{x+5}-3\neq0\\\Rightarrow \sqrt{x+5}\neq 3\\\Rightarrow x+5\neq 9\\\Rightarrow x\neq 4\quad \ldots(ii)

Using (i) and (ii)  it can be concluded that the domain of f\left(g(x)\right) is all real numbers except 0.

Therefore, its domain is given by

x\in [-5,4)\cup (4,\infty)

Option (c) is correct.

5 0
3 years ago
Find the value of xxx in the isosceles triangle shown below.
MAXImum [283]

Answer:

X = 10

Step-by-step explanation:

if we say 1/2 base = <em>a</em>

a² = 13² - 12²

a² = 25

a = √25

a = 5

if 1/2 base = 5 then x = a × 2

hence X = 5 × 2 = 10

7 0
2 years ago
What is the average rate of change of the function over the interval x = 0 to x = 8?
Hatshy [7]

Answer:

if f(x) = 3x+4, the rate of change is 4.

if f(x) = 2x+7, the rate of change is 2.

Step-by-step explanation:

We know that the average rate of change over the interval x=0 to x=8 is:

(f(x2) - f(x1))/x2-x1

Where:

x2 = 8

x1 = 0

if f(x) = 3x+4

so f(8)=3(8)+4 = 28

f(0)=3(0)+4 = 4

Then: (f(x2) - f(x1))/x2-x1 = (28 - 4)/8-0 = 24/8 = 3

On the other hand, if f(x) = 2x+7

f(8) = 2(8)+7 = 23

f(0) = 2(0)+7 = 7

Then: (f(x2) - f(x1))/x2-x1 = Then: 23 - 7/8-0 = 16/8 = 2

8 0
3 years ago
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trapecia [35]
The factors of a number are all whole numbers that can be multipled to get that number. 1, 2, 4, 8, 16, 32, 64
7 0
3 years ago
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