Reduce 7y + 2y 2 - 7 by 3 - 4y.

a. 2y2 - 11y + 10
b. -2y2 - 11y + 10
c. -2y2 + 11y - 10
d. 2y2 + 11y - 10

D. .

Step-by-step explanation:

Given:

We need to reduce by

Solution:

To reduce the equation means we need to subtract the one equation from other.

First we will arrange the equation n proper format we get;

 ⇒ equation 1

Also Arranging other equation we get;

  ⇒ equation 2

Now we will subtract equation 2 from equation 1 we get;

Now Applying distributive property for the sign we get;

Now Arranging the like terms we get;

Hence the reduce form of the given equation is .

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places