How do you solve (2z-3)(4z-7)=0

Answers

Answer 1

Answer:
The key to this is to realize that if EITHER quantity in parentheses is zero,
then the whole left side is zero, and the equation is true.

First quantity: (2z-3). If this is zero, then the whole equation is true.

   2z - 3 = 0
Add 3 to each side: 2z    = 3
Divide each side by 2: z = 3/2 or 1.5

Second quantity: (4z-7). If this is zero, then the whole equation is true.

   4z - 7 = 0
Add 7 to each side: 4z    = 7
Divide each side by 4: z = 7/4 or 1.75

So the original equation has two solutions:

   z = 1.5
and
   z = 1.75 .

Answer 2

Answer: There are two values of z in this question. (2z - 3)
-3 / 2 = -1.5
-1.5 x -1 = 1.5

(4z - 7)
-7 / 4 = -1.75
-1.75 x -1 = 1.75

z = 1.5 or 1.75

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Simplify 2a2b3(4a2 + 3ab2 – ab) = ? A. 8a4b3 + 6a3b5 + 2a3b4 B. 8a4b3 + 6a3b5 – 2a3b4 C. 8a4b5 + 3a3b5 – 2a3b4 D. 8a4b5 + 3a3b5 + 2a3b4

Let f(x) = x – 4 and g(x)=1/x. The graph of (g o f)(x) is shown below. What is the domain of (g o f)(x)?

all real numbers except x = –4
all real numbers except x = 0
all real numbers except x = 4
all real numbers

Answers

Answer:

domain is all real numbers except x=4

Step-by-step explanation:

$f(x)= x-4$ and $g(x)=(1)/(x)$

We need to find (gof)(x)

$(g o f)(x)= g(f(x))$

Plug in x-4 for f(x)

$(g o f)(x)= g(f(x))=g(x-4)$

Now we plug in x-4 for x in g(x)

$(g o f)(x)= g(f(x))=g(x-4)=(1)/(x-4)$

$(g o f)(x)=(1)/(x-4)$

Domain is the set of all x values for which the function is defined

To find out the x values that is undefined we set the denominator =0 and solve for x

$x-4=0, x=4$

When x=4 the denominator becoems 0 that is undefined

So domain is all real numbers except x=4

Oi-All real numbers except x=4

they would all intersect 0 still

Thirty pounds of a salt-water solution contains fifteen percent salt. How much water must be added to weaken the solution to ten percent salt?

Answers

$Formula\ for\ percen\ concentration:\n Cp=(ms)/(mr)*100\%\n\n ms-mass \ of\ substance\n mr- mass\ of \ solution\n\n mr=30 pound\n ms=x\n 30 \ pounds\ of \ salt-water\ solution-----cp=15\%\n 30 \ pounds\ of \ salt-water\ solution + x\ water --cp=10\%\n 15\%=(ms)/(30)*100\% \n (15)/(100)=(ms)/(30)\n 100ms=15*30\ |:100\n ms=4,5\ pound\n 10\%=(ms)/(30+x)*100\%\n (10)/(100)=(4,5)/(30+x)\n 10(30+x)4,5*100\n 300+10x=450\n 10x=150\ |:10\n x=15 pound\n$ $15\ pounds\ of\ water\ must\ be\ added.$

15 lb to i belive it to i fyou use the furmoata

Adrianne invested $2000 in an account at a 3.5% interest rate compounded annually. She madeno deposits or withdrawals on the account for 4 years. Determine, to the nearest dollar, the
balance in the account after the 4 years.

Answers

With the information given, you can make the expression 2000*3.5%*4, because the interest in a year is 3.5% of 2000 and it goes for four years.

Change 3.5% to 0.035:

2000*0.035*4

Multiply:

70*4

280

To find the total balance, add 2,000 to the amount of interest earned, 280.

2000+280=2280.

Therefore, after the 4 years pass, the account balance is $2280.

Type the correct answer in the box. Round your answer to the nearest whole number.If the current trend of registration continues, there will be approximately [ ]participants registered 10 days after registration opens.

This above is part B. I need help with filling in the blank. Will give 15 points for help. Please help it's for plato. And I'm add an attachment for Part A and the work I have for part A.

Answers

Answer:

Part A y = 15(1 + 0.4)^x.

Part B 434 after 10 days.

Step-by-step explanation:

Part A.

21 = 15 ( 1 + r)^1

15 + 15r = 21

15r = 6

r = 6/15 = 0.4

So the equation is

y = 15(1 + 0.4)^x.

Part B.

So after 10 days x = 10

y = 15(1 + 0.4)^10

y = 434 to the nearest whole number.

Answer:

y = 434 to the nearest whole number.

Step-by-step explanation:

The measure of one of the acute angles in a right triangle is 63.7º. what is the measure of the other acute angle? 26.3º 76.3º 116.3º 66.3º

Answers

the correct answer is a. 26.3

Which of these answer choices show a pair of equivalent expressions?