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Ksenya-84 [330]
2 years ago
11

BIG IDEAS MATH #9 i Find the value of x. 110x² А. 20x X =

Mathematics
1 answer:
natka813 [3]2 years ago
6 0
90 + 20x + 10x = 180
30x = 90
x = 3
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Given f(x) = 3x^3+ kx – 11, and x – 1 is a factor of f(x), then what is the value<br> of k?
STatiana [176]

let's recall the remainder theorem.

we know that (x-1) is a factor, that means x -1 = 0 or x = 1.

since we know that (x-1) is a factor, then dividing the polynomial by it will give us a remainder of 0, which correlates with saying that f(1) = 0, in this case, so we can simply plug in "1" as the argument, knowing it gives 0.

f(x)=3x^3+kx-11\\\\[-0.35em]~\dotfill\\\\\stackrel{0}{f(1)}=3(1)^3+k(1)-11\implies \stackrel{f(1)}{0}=3+k-11\implies 0=-8+k\implies 8=k

7 0
2 years ago
17. Which of the following is the correct formula for finding power in a DC circuit? A. P = I2R B. P = VR C. P = IR D. P = V2I
netineya [11]

Answer:

Choice A. P = I² · R where

  • P is the power in the DC circuit,
  • I is the current through the circuit, and
  • R is the total resistance of the circuit.

Step-by-step explanation:

Electrical power is the rate at which the electrical force does work. So what is electrical work? That's the work W that the electrical force do when it moves charges Q across a potential difference V:

W = V\cdot Q.

The power is the rate at which the electrical force do the work:

\displaystyle P = \frac{W}{t} = V \cdot \frac{Q}{t}.

On the other hand, current I is the charge through a cross-section of the circuit in unit time. By the definition of current:

\displaystyle\frac{Q}{t} = I.

\displaystyle P =V \cdot \frac{Q}{t} = V\cdot I.

Consider Ohm's Law:

V = I \cdot R.

Therefore

\displaystyle P = V\cdot I = (I \cdot R) \cdot I = I^{2}\cdot R.

6 0
3 years ago
Read 2 more answers
a store had a sale to celebrate veterans day. Every item in the store is advertised as 1/5 off the original price. If an item is
makkiz [27]

Answer:

$175

Step-by-step explanation:

let the original price be x

if 1/5 is off the price then the sells is at 4/5

4/5 of x = 140

thus,

4/5* x=140

4x = 140*5

x=700/4

x=$175

3 0
3 years ago
Zaid and Matias, two farmers, constructed a 792 foot fence around their very large garden. Zaid agreed to construct 20% more of
likoan [24]

Answer:

1.2x +x =792

2.2x =792

And we got finally:

x =\frac{792}{2.2}= 360 ft

And the amount for Zaid would be 1.2*360 ft= 432ft

So then Zaid construc 432 ft and Matias 360 ft

Step-by-step explanation:

For this case we know that Zaid and Matias, two farmers, constructed a 792 foot fence around their very large garden so then the total is represented by 792 ft

We also know that Zaid agreed to construct 20% more of the fence than Matias did. Let's assume that the amount that construct by Matias was x then the amount constructed by Zaid would be 1.2 x representing 20% more than Matias and we can set up the following equation:

1.2x +x =792

2.2x =792

And we got finally:

x =\frac{792}{2.2}= 360 ft

And the amount for Zaid would be 1.2*360 ft= 432ft

So then Zaid construc 432 ft and Matias 360 ft

7 0
3 years ago
Solve for x.
aivan3 [116]
X^3 = 216

by taking cubic root for both  sides

\sqrt[3]{x^3} =  \sqrt[3]{216}

x = 6
7 0
3 years ago
Read 2 more answers
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