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iogann1982 [59]
3 years ago
10

Please be quick !! this is due in 30 minutes !! Simplify the expression: (7x - 8)(-5)

Mathematics
1 answer:
Ivanshal [37]3 years ago
3 0

Answer:

-35x + 40

Step-by-step explanation:

  1. Re-arrange: -5(7x - 8)
  2. Apply the distributed property, so it now looks like this: -35x - -40
  3. Simplify: -35x + 40

I hope this helps!

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Given f (x) = 6 (1- x), what is the value of f (-5)?
natta225 [31]

Answer: 36

Step-by-step explanation:

1) substitute x for 6

get f(-5)=6(1--5)= 6+30=46

5 0
3 years ago
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Give the first ten terms of the following sequences. You can assume that the sequences start with an index of 1. Logs are to bas
Vitek1552 [10]

Answer:

a)

a1 = log(1) = 0 (2⁰ = 1)

a2 = log(2) = 1 (2¹ = 2)

a3 = log(3) = ln(3)/ln(2) = 1.098/0.693 = 1.5849

a4 = log(4) = 2 (2² = 4)

a5 = log(5) = ln(5)/ln(2) = 1.610/0.693 = 2.322

a6 = log(6) = log(3*2) = log(3)+log(2) = 1.5849+1 = 2.5849 (here I use the property log(a*b) = log(a)+log(b)

a7 = log(7) = ln(7)/ln(2) = 1.9459/0.6932 = 2.807

a8 = log(8) = 3 (2³ = 8)

a9 = log(9) = log(3²) = 2*log(3) = 2*1.5849 = 3.1699 (I use the property log(a^k) = k*log(a) )

a10 = log(10) = log(2*5) = log(2)+log(5) = 1+ 2.322= 3.322

b) I can take the results of log n we previously computed above to calculate 2^log(n), however the idea of this exercise is to learn about the definition of log_2:

log(x) is the number L such that 2^L = x. Therefore 2^log(n) = n if we take the log in base 2. This means that

a1 = 1

a2 = 2

a3 = 3

a4 = 4

a5 = 5

a6 = 6

a7 = 7

a8 = 8

a9 = 9

a10 = 10

I hope this works for you!!

3 0
3 years ago
For what numbers x, -2π ≤ x ≤ 2π, does the graph of y = csc(x) have vertical asymptotes?
yulyashka [42]
Well tan x has asymptotes every 90 degrees, or in radian mode, every pi divided by two. since cot is the inverse and the aymsptotes land on every 180 degrees, meaning the equation can be x ≠ \pi n, nEI
8 0
4 years ago
6x+4y=42 -3x+3y=-6 by elimination
creativ13 [48]

Answer:

x=5, y=2

Step-by-step explanation:

To solve this system, we need to find x and y. First, let's find x. In the first equation (6x+4y=42), subtract 4y on both sides to isolate 6x. This will result in 6x=42-4y. Divide by 6 on both sides to isolate x and get x=7-\frac{2}{3}y. Now we know what x equals. Go to the second equation ad plug this into it. So instead of -3x+3y=-6, you'll have -3(7-\frac{2}{3}y)+3y=-6. Use the distributive property to get -21+2y+3y=-6. Add 2y and 3y to get -21+5y=-6. Add 21 to both sides to isolate 5y and get 5y=15. Divide by 5 on both sides to isolate y and get y=3. Now that we know that y=3, we can plug this back into the equation that was bolded above so that we can find x, so we'll have x=7-\frac{2}{3}(3) since y=3, and we'll get x=7-\frac{6}{3}, or x=7-2, or x=5.

x=5

y=2

6 0
3 years ago
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Find the domain of the function.
timurjin [86]

When taking square roots, you can't take square roots of negative roots of negative numbers. So, what will work for the domain of u(x) is what makes u(x) zero or more. We can make an inequality for that.

u(x) ≥ 0.

\sqrt{9x+27} \geq  0

9x + 27 ≥ 0 by squaring both sides

9x ≥ -27

x ≥ -3

So the domain of the function is when x ≥ -3 is true.

5 0
4 years ago
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