Find f(-3) for f(x) = -2x + 5. A. -1 B. 10 C. -10 D. 11

Mathematics

2 answers:

tangare [24]2 years ago

5 0

Answer:

<h3> $\boxed{ \sf{ \bold{ \boxed{11}}}}$ </h3>

Option D is the correct option.

Step-by-step explanation:

Given,

$\sf{f(x) = - 2x + 5}$

To find : f ( - 3 )

Let's find:

$\sf{f( - 3) = - 2 \times ( - 3) + 5}$

Calculate the product

$\sf{ = 6 + 5}$

Add the numbers

$\sf{ = 11}$

Hope I helped!

Best regards!!

Rina8888 [55]2 years ago

4 0

Answer: f(-3) = 11

Step-by-step explanation: Here we're given the function

f(x) = -2x + 5 and we're asked to find f(-3).

In other words, if we put an x into our function, we get a -2x + 5 out.

So what happens when we put a -3 into the function?

Well if we put a -3 into the function,

that's f(-3), we get a -2(-3) + 5 out.

Now all we have to do is simplify on the right side,

-2(-3) is 6, so we have 6 + 5 which is 11.

So f(-3) is 11.

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PLEASE HELP! Calculate $40^{13} \pmod{85}.$

SVEN [57.7K]

In this type of calculations, we decompose 13 by checking the lowest powers of the base, that is 40. for example we check 40^2, or 40^3 and compare it to 85

Notice

40*40*40=64,000

so we check how many time does 85 fit into 64,000:

64,000/85=752.94

85*753=64,005; 64000-64,005=-5

this means that

$40^{3} =-5\pmod{85}$

thus

$40^{13} =40^{3*4+1}={(40^{3})}^{4}*40=(-5)^{4}*40 \pmod{85}=\\\\625*40\pmod{85}=(7*85+30)*40\pmod{85}=30*40\pmod{85}\\\\=1200\pmod{85}=(14*85+10)\pmod{85}=10\pmod{85}$

Answer: 10 (mod85)

Remark, the set of all solutions is:

{......-75, 10, 95, .....}, that is 85k +10

7 0

2 years ago

Please answer all the questions above.

Fed [463]

Answer:

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