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Natasha_Volkova [10]
2 years ago
13

Help Mehhhhhhh!!!!!!

Mathematics
1 answer:
kolbaska11 [484]2 years ago
4 0

Answer:

its 20 :D Can you help me with this queston

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Suppose that the functions p and q are defined as follows.p(x) = -2x + 1q(x)=-x?Find the following.
MariettaO [177]

First let us find

(q\mathrm{}p)(x)\begin{gathered} q(p(x))=q(-2x+1) \\ =-(-2x+1)^2 \\ So\text{ } \\ (q\mathrm{}p)(5)=-(-2\times5+1)^2 \\ =-(9)^2 \\ =-81 \end{gathered}

Now let;s solve the second part

\begin{gathered} (p\mathrm{}q)(x)=p(q(x)) \\ =p(-x^2) \\ =-2(-x^2)+1 \\ =2x^2+1 \\ So\text{ (p.q)(5) will be } \\ (p\mathrm{}q)(5)=2(5)^2+1 \\ =51 \end{gathered}

6 0
1 year ago
The bases of the trapezoid are 6 and 10. The height is 4. Find the area.
ollegr [7]
Answer

b. 32 sq. unit

Step-by-step Explanation

The area of the trapezoid is given by

A = \frac{1}{2} (b_{1} + b_{2}) \times h

We substitute the given values into the formula to obtain;

A = \frac{1}{2}(10 + 6) \times 4

Simplify

A = \frac{1}{2} (16) \times 4

A = 16 \times 2
Hence the area is

A = 36 \: sq \: units
6 0
3 years ago
What is the direction and strength of the association between the variables?
lina2011 [118]

Answer: strong negative

7 0
3 years ago
Determine the constant of variation for the direct variation given. Type a numerical answer in the space provided.
Andreyy89

Answer:

B. 4

Step-by-step explanation:

Determine the constant of variation for the direct variation given.

(0, 0), (3, 12), (9, 36)

A. 3

B. 4

C.12

Direct variation is given by:

y = kx

Where,

k = constant of variation

(3, 12)

x = 3; y = 12

y = kx

12 = k*3

12 = 3k

k = 12 / 3

k = 4

(9, 36)

x = 9; y = 36

y = kx

36 = k * 9

36 = 9k

k = 36 / 9

= 4

k = 4

Constant of the variation = 4

5 0
3 years ago
Find this quotient and express the answer in scientific natation
aalyn [17]
\frac{8.27*10^{14}}{1.09*10^{12}}=  \frac{8.27}{1.09} *10^{14-12}\approx7.59*10^2
3 0
3 years ago
Read 2 more answers
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