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9966 [12]
2 years ago
11

Help me please emergency

Mathematics
2 answers:
adoni [48]2 years ago
4 0

Step-by-step explanation:

this can be found by determination of the highest and lowest x values

Oksana_A [137]2 years ago
3 0

Answer:

-11 ≤ x ≤ 11

Step-by-step explanation:

Let's get a couple of definitions out of the way

<u>Domain (defn)</u>

The domain of a function is the complete set of possible values of the independent variable(input values to the function). This means that for this set of values, the function value(output of the function) should be determinate.

<u>Range (defn)</u>

The range of a function is the complete set of all possible resulting values(outputs) of the function, after we have substituted the set of domain values

In this figure it is clear that the domain (set of possible values for the x variable) is between -11 and +11 inclusive

So domain is -11 ≤ x ≤ 11

The range (though not asked for) is the set of y values for this domain from minimum to maximum

From the graph, minimum y = 1 at x = 5. Maximum value is 8 (there are two maxima at x = -7 and x=11 but they are the same value)

Range is 1 ≤ y ≤ 8

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Statement 1: If √12 - √8 = a, then √12 + √8 is equal to 4/a.
Nana76 [90]

Answer:

Statement 1 is true; Statement 2 is false.

Step-by-step explanation:

Statement 1:

√12 - √8 = a

Let's use the given value of √12 + √8 ,that is, 4/ a.

If we multiply both the expressions such that their Left Hand Sides get multiplies together and Right Hand Sides together:

=> (√12- √8)(√12 + √8) = a × 4/a

<em>On</em><em> </em><em>the</em><em> </em><em>LHS</em><em>,</em><em> </em>

<em>identity</em><em> </em><em>used</em><em>:</em>

<em>(</em><em>a-b</em><em>)</em><em>(</em><em>a</em><em>+</em><em>b</em><em>)</em><em> </em><em>=</em><em> </em><em>a</em><em>²</em><em>-</em><em>b</em><em>²</em>

<em>On</em><em> </em><em>the</em><em> </em><em>RHS</em><em>:</em>

<em>a</em><em> </em><em>gets</em><em> </em><em>canceled</em><em> </em><em>due</em><em> </em><em>to</em><em> </em><em>its</em><em> </em><em>presence</em><em> </em><em>in</em><em> </em><em>both</em><em> </em><em>the</em><em> </em><em>numerator</em><em> </em><em>as</em><em> </em><em>well</em><em> </em><em>as</em><em> </em><em>the</em><em> </em><em>denominator</em><em>.</em><em> </em>

=> 12 - 8 = 4

=> 4 = 4

That's it!

We got LHS = RHS, that approves the existence of the given statement.

___________________

Statement 2:

<em>"</em><em>a + √b is called the rationalizing factor of c + √d if their product is 1</em><em>"</em>

That's not entirely right!

The correct statement would be:

<em>"</em><em> </em><em>a + √b is called the rationalizing factor of c + √d if their product is </em><em><u>a</u></em><em><u> </u></em><u><em>rational</em><em> </em><em>number</em><em> </em><em>.</em></u><em><u>"</u></em>

Since, rationalizing has got nothing to do with 1, (1 is just another rational number), even if we get 2 by their multiplication, it will be called rationalizing as long as we're getting a rational number.

___________________

Answer:

Hence, I'd say:

Statement 1 is correct but Statement 2 isn't.

That's the third option.

5 0
3 years ago
Sam sold 5 comic books and RJ sold 4 comic books. They sold them for five dollars each. They want to know how much their books a
Anettt [7]

Answer:

the answer would be C.

Step-by-step explanation:

You add up 4 + 5 which is Sam and RJ together. Then multiply 5 to get the amount they sold for each.

Hope this helped!

7 0
3 years ago
Need some help on this question please provide evidence on how you came up with the answer aswell.
nika2105 [10]

Answer:

22

Step-by-step explanation:

the first three set of dots are 11

if you combine them

they'll look like the last one

11 + 11

=22

5 0
3 years ago
Read 2 more answers
Mr. Zero bought a number of gold pieces for $60. He kept 15 of them and sold the rest for $54. He made a profit of $0.10 on each
Reil [10]

Answer:

c

Step-by-step explanation:

3 0
4 years ago
If f(x) = 3 -3 and g(x) = 3x2 + x – 6, find (f + g)(x).
DanielleElmas [232]

Answer:

D

Step-by-step explanation:

note that (f + g)(x) = f(x) + g(x) , thus

f(x) + g(x)

= \frac{x}{2} - 3 + 3x² + x - 6 ← collect like terms

= 3x² + \frac{3}{2} x - 9 → D

3 0
4 years ago
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