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qaws [65]
3 years ago
7

-5-4-3

Mathematics
1 answer:
Burka [1]3 years ago
5 0

Answer:

Interval = (-2,1.5)

Interval = (-\infty, -2)\ u\ (1.5,\infty)

Step-by-step explanation:

Given

See attachment for graph

Solving (a): Increasing interval

To do this, we simply identify the interval at which the value of the graph increases.

The value has an increased interval between -2 and 1.5 (of the x-axis).

Hence, the increasing interval is:

Interval = (-2,1.5)

Solving (b): Decreasing interval

To do this, we simply identify the interval at which the value of the graph decreases.

The value has decreased intervals between - infinity and -2 and also 1.5 and infinity (of the x-axis).

Hence, the decreasing interval is:

Interval = (-\infty, -2)\ u\ (1.5,\infty)

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There is a math joke that floats around the internet every once in a while that goes something like . . . A mathematician and he
salantis [7]

Answer:

  • Three beers.

Step-by-step explanation:

The first mathematician orders 1 beer, the second orders 1/2 a beer, the third orders 1/4 a beer, the fourth orders 1/8 a beer, the fifth orders 1/16 a beer. . .

  • The Sequence is: 1,\frac{1}{2}, \frac{1}{4}, \frac{1}{8}, \frac{1}{16} \cdots
  • On observation, the next term is derived through the division of the previous term by 2.
  • 2 is the constant factor
  • Therefore, the bartender says 'Fine, I’ll just pour you two beers.'

Therefore, if the first mathematician orders 6 beers, the second orders 2 beer, the third orders 2/3 a beer, and so on

  • The sequence is 6,2,\frac{2}{3}, \cdots
  • On observation, the next term is derived through the division of the previous term by 3.
  • 3 is the constant factor
  • Therefore, the bartender should pour three beers.

6 0
3 years ago
Write 4 with denominator 5
valkas [14]

Answer:

4/5

Step-by-step explanation:

I'm not exactly sure what this question is asking but I'm guessing it's asking to create a fraction with the numerator as 4 and denominator as 5.

4 0
3 years ago
A quadratic function is shown. f(x) = -x^2+7x-12 one factor of this function is (x-4). What is the other factor of the quadratic
Alexus [3.1K]

Answer:

The other term is<u> (x-3)</u>

Step-by-step explanation:

The quadratic function is:

f(x)=-x^{2}+7x-12

Factoring this function we will have:

f(x)=-(x-4)(x-3)

Therefore, the other term is<u> (x-3).</u>

I hope it helps you!

3 0
3 years ago
Help me substitution method define variables
Rina8888 [55]
\left \{ {{S=14+L} (I) \atop {S+L=124}(II)} \right.

<span>Substitute (I) into (II), we have:
</span>S+L=124
(14+L)+L=124
14 + 2L = 124
2L = 124 - 14
2L = 110
L =  \frac{110}{2}
\boxed{L = 55}

<span>Replace (II) in (I), we have:
</span>S=14+L
S = 14+ 55
\boxed{S = 69}

Answer:
each student sell: 
Lori = 55 pizzas
Steve = 69 pizzas
<span>

</span>
7 0
3 years ago
Find C.
nasty-shy [4]

Answer:

C=69.1^{\circ}

Step-by-step explanation:

The Law of Cosines is given as:

c^2=a^2+b^2-2ab\cos C.

Plugging in given values, we get:

16^2=8^2+17^2-2\cdot 8\cdot 17\cdot \cos C,\\\cos C=\frac{-97}{-272},\\C=\arccos(\frac{97}{272}),\\C=\fbox{$69.1^{\circ}$}.

3 0
3 years ago
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