Factor then solve.
1.81 - 4x²=0
2. 4s² + 9 = 12s

Answers

Answer 1

Answer: $1.\n81-4x^2=0\n\n9^2-(2x)^2=0\n\n(9-2x)(9+2x)=0\iff9-2x=0\ \vee\ 9+2x=0\n\n-2x=-9\ \vee\ 2x=-9\n\nx=4.5\ \vee\ x=-4.5$

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$2.\n4s^2+9=12s\n\n4s^2-12s+9=0\n\n(2s)^2-2\cdot2s\cdot3+3^2=0\n\n(2s-3)^2=0\n\n(2s-3)(2s-3)=0\iff2s-3=0\n\n2s=3\n\ns=1.5$

Answer 2

Answer: $1.)\ \ \ 81 - 4x^2=0\n\n9^2-(2x)^2=0\ \ \ \ \ and\ \ \ \ \ a^2-b^2=(a-b)(a+b)\n\n(9-2x)(9+2x)=0\ \ \ \Leftrightarrow\ \ \ 9-2x=0\ \ \ or\ \ \ 9+2x=0 \n\n9-2x=0\ \ \ \Leftrightarrow\ \ \ -2x=-9\ \ \ \Leftrightarrow\ \ \ x=4.5\n\n9+2x=0 \ \ \ \Leftrightarrow\ \ \ 2x=-9\ \ \ \Leftrightarrow\ \ \ x=-4.5\n\n.......................................................................\n\n$

$2.)\ \ \ 4s^2+ 9 = 12s\n\n4s^2-12s+ 9 =0\n\n(2s)^2-2\cdot2s\cdot3+3^2=0\n\n(2s-3)^2=0\ \ \ \Leftrightarrow\ \ \ 2s-3=0\ \ \ \Leftrightarrow\ \ \ 2s=3\ \ \ \Leftrightarrow\ \ \ s=1.5$

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at one stage in a factory's candy production cocoa is mixed with sugar. for every 12 pounds of cocoa 5 pounds of sugar are needed. write an equation of a function that arises from this situation. make a table of values and draw the graph of your function.

Answers

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Jessie colored a poster she colored 2/5 of the post to read which fraction is equivalent to 2/5

Answers

It can be 4/10.
You get this be multiplying the denominator and numerator by 2.
~JZ
Hope it helps

your answer would be 4/10
I multiplied the numerator and the denominator by 2
and if you cancelled 4/10
you would get 2/5

48 fl oz= c what is the answer

Answers

48 fl oz is 6 cups. There is 8oz in 1 cup.

8 fl oz in a c, so its 48/8 or 6

Simplify the expression: (3 + 8i) − (4 + 2i).−1 + 6i
−1 + 10i
1 + 6i
1 + 10i

Answers

The given expression simplified can be written as -1 + 6i. which is the correct answer that would be an option (A).

What is a complex number?

A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib,

where a, and b are real numbers and i is an imaginary number.

To simplify the expression (3 + 8i) − (4 + 2i), we need to subtract the two complex numbers. To do this, we subtract the real parts and the imaginary parts separately.

The real part of the first complex number is 3, and the real part of the second complex number is 4.

Subtracting these gives us -1.

The imaginary part of the first complex number is 8, and the imaginary part of the second complex number is 2.

Subtracting these gives us 6. Therefore, the simplified expression is (-1) + (6i) = -1 + 6i.

Therefore, the correct answer is: -1 + 6i.

Learn more about the complex numbers here:

brainly.com/question/19007885

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Answer:

-1+6i

Step-by-step explanation:

(3+8i)-(4+2i)

3+8i-4-2i

3-4+8i-2i

-1+6i

Use the distributive property to express each sum With the gcf factored out .48+18

Answers

$0.48 + 18 = \boxed{\bf{0.06(8 + 300)}}$

An employee earns $7.00 an hour for the first 35 hours worked in a week and $10.50 for any hours over 35. One week's paycheck (before deductions) was for $308.00. How many hours did the employee work? *write an equation and solve