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valkas [14]
1 year ago
7

Write the system of equations, then solve. SHOW ALL WORK!! please HELP! QUICK

Mathematics
1 answer:
uysha [10]1 year ago
5 0

Answer:

3 30 page printers, 10 70 page printers

Step-by-step explanation:

x + y = 13

40x+70y = 820

Solving for y in first equation gives: y = 13 - x

Plug into second equation: 40x + 70(13 - x) = 820

40x + 910 - 70x = 820

-30 x = -90

x = 3

Plug into original equation: 3 + y = 13

y must = 10.

So, the company owns 3 thirty page presses, and 10 70 page presses,

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Square root of -49 in terms of i
natita [175]

Answer:

7i

Step-by-step explanation:

We know that  i = √-1

Then solving the given:

  • √-49 = √49×(-1) = √49 × √-1 = 7×√-1 = 7i

So the answer is:

  • √-49 = 7i
3 0
3 years ago
For fun question
ZanzabumX [31]
Consider the function f(x)=x^{1/3}, which has derivative f'(x)=\dfrac13x^{-2/3}.

The linear approximation of f(x) for some value x within a neighborhood of x=c is given by

f(x)\approx f'(c)(x-c)+f(c)

Let c=64. Then (63.97)^{1/3} can be estimated to be

f(63.97)\approxf'(64)(63.97-64)+f(64)
\sqrt[3]{63.97}\approx4-\dfrac{0.03}{48}=3.999375

Since f'(x)>0 for x>0, it follows that f(x) must be strictly increasing over that part of its domain, which means the linear approximation lies strictly above the function f(x). This means the estimated value is an overestimation.

Indeed, the actual value is closer to the number 3.999374902...
4 0
3 years ago
Prove this trigonometric identity<br>sin ​3x/sin x - cos 3x/cos x =2
Sveta_85 [38]

Step-by-step explanation:

LHS= sin 3x/sin x - cos 3x/cosx

Taking LCM,

<u>=</u><u>sin3xcosx- cos3xsinx</u>

sinxcosx

<u>=</u><u>sin(3x-x)</u>

sinxcosx

= <u>2sin2x</u>

2sinxcosx

=<u> </u><u>2sin2x</u><u> </u>

sin2x

=2

= RHS.

Proved.

8 0
3 years ago
The expression y2 – 10y + 24 has a factor of y – 4. What is another factor of y2 – 10y + 24? y – 20 y – 14 y – 8 y – 6
aniked [119]
Just for future reference always put ^ for exponents. The answer is y-6 though. 
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7 0
3 years ago
Read 2 more answers
(3x-4y)^2-(3x-4y)(3x+4y)
zheka24 [161]

Answer:

-24xy + 32y^2

Step-by-step explanation:

Hello!

We can use the special binomial product formulas:

  • (a + b)^2 = a^2 + 2ab + b^2
  • (a + b)(a - b) = a^2 - b^2

<h3>Simplify</h3>
  • (3x - 4y)^2 - (3x - 4y)(3x + 4y)
  • (9x^2-24xy+16y^2) - (9x^2 - 16y^2)
  • 9x^2 - 9x^2 - 24xy + 16y^2 + 16y^2
  • -24xy + 32y^2

The simplified form is -24xy + 32y^2

6 0
1 year ago
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