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scoray [572]
3 years ago
15

If f(x) = 1 + x2 and g(x) = 1-, which is the rule of function (f-)(x)?

Mathematics
1 answer:
STatiana [176]3 years ago
8 0

Answer:

= -x^2 +x    

Step-by-step explanation:

(x) = 1 - x^2

g(x) = 1-x,

(f-g)(x) = 1-x^2 - ( 1-x)

Distribute the minus sign

          = 1-x^2 -1 +x

  Combine like terms

          = -x^2 +x    

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Which of the following are solutions to the system
Tomtit [17]

Answer:

A & B

Step-by-step explanation:

5x - 2y = 10 (1)

-2.5x + y = -5 (2)

When you multiply (2) by -2, you get (1), so there can be many solutions

To choose from the given options, plug in the values to check which ones satisfy the equation

5x - 2y = 10

A) (2,0)

5(2) - 2(0) = 10

10 = 10 (true statement)

B) (-2,-10)

5(-2) - 2(-10) = 10

-10 + 20 = 10

10 = 10 (true statement)

5 0
3 years ago
Ted knows the actual distance between two cities is 150 miles. His map shows a distance of 2 inches between these cities. What i
Serjik [45]

Answer:

The scale used on his map is <u>150 miles : 2 inches</u>.

Step-by-step explanation:

Given:

Ted knows the actual distance between two cities is 150 miles. His map shows a distance of 2 inches between these cities.

Now, to find the scale Ted used on his map.

The actual distance Ted know between two cities = 150 miles.

The distance on map between these cities = 2 inches.

So, to get the scale used on his map:

\frac{The\ actual\ distance\ Ted\ know\ between\ two\ cities}{The\ distance\ on\ map\ between\ these\ cities}

=\frac{150\ miles}{2\ inches}

=150\ miles:2\ inches.

Therefore, the scale used on his map is 150 miles : 2 inches.

5 0
3 years ago
Pat has a fever.His temperature is 99.3F. If the conversation is Celsius is C=5/9(F-32), what is the most accurate measurement o
Dmitriy789 [7]

Answer:

37.4

Step-by-step explanation:

7 0
3 years ago
If the geometric mean of a and 34 is 6 sqrt(17) find the value of a
Alborosie

Using the geometric mean concept, it is found that the value of a is 18.

----------------------

The geometric mean, of a data-set of n elements, (n_1, n_2, ..., n_n), is given by:

G = \sqrt[n]{n_1 \times n_2 \times ... \times n_n}

That is, the nth root of the multiplication of all elements.

----------------------

In this question:

  • Two elements(n = 2), a and 34.
  • G = 6\sqrt{17}

Thus:

\sqrt{34a} = 6\sqrt{17}

We find the square of each side, so:

(\sqrt{34a})^2 = (6\sqrt{17})^2

34a = 36\times17

Simplifying both sides by 17:

2a = 36

a = \frac{36}{2}

a = 18

The value of a is 18.

A similar example is given at brainly.com/question/15010240

3 0
3 years ago
Simplify 5 cube root of 72
goldenfox [79]
The answer is 2.35215804
4 0
3 years ago
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