MATHEMATICS HIGH SCHOOL

Sal and two of his friends rent an apartment together. Their total cost to move in included first months rent, last months rent and a security deposit of $1,200. If Sal paid a total of $1,000 to move in, how much is his share of the rent each month?.

Answers

Answer 1
Answer: according to the problem the payment Sal did correspond to
(2 rent + 1200)/3 = 1000
2 rent + 1200 = 3000
2 rent = 1800
rent = 900
this means that 
rent = $900
Answer 2
Answer:

Answer:

according to the problem the payment Sal did correspond to

(2 rent + 1200)/3 = 1000

2 rent + 1200 = 3000

2 rent = 1800

rent = 900

this means that

rent = $900

Step-by-step explanation:

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Differentiate each function. Do not expand an expression before differentiating. a)f(x)=(2x+3)^4
Multiply 6/5 x 25/24

Work out : 3/5 of 7kg please help me

Answers

(3)/(5) *7kg = (3*7)/(5) kg= (21)/(5) kg=4 (1)/(5) kg=4.2kg
Well OF means to MULTIPLYSo Ur pretty much looking at it like this: 3/5 x 7You have to do 7 times the numerator, (which is 3)7 times 3 is 21.Now we have 21/5So 21/5 is the answer

​​​Find the equations of the vertical asymptotes of the given rational function f(x)=(x²+9x)(x²-2x-15)

Answers

To find the vertical asymptotic equations of the rational function, we must first find the points of intersection of the function with the x-axis. These points are the solutions of the equation f(x) = 0. We decompose the exponential function into the product of two expressions: f(x) = (x² + 9x)(x² - 2x - 15) Now we can set each of the expressions inside the parentheses equal to zero and solve the vertical asymptotic equations: x² + 9x = 0 or x² - 2x - 15 = 0 To solve the first equation, we can factor x out: x(x + 9) = 0 So the two vertical asymptote equations are x = 0 and x + 9 = 0 (that is, x = -9). To solve the second equation, we can use the analysis method or the quadratic formula. Using the analysis method, we can decompose the expression x² - 2x - 15 in the following form: (x - 5)(x + 3) = 0 Therefore, two vertical asymptote equations equal to x - 5 = 0 (that is, x = 5) and x + 3 = 0 (that is, x = -3). So the vertical asymptotic equations of the rational function f(x) = (x² + 9x)(x² - 2x - 15) are equal to x = 0, x = -9, x = 5 and x = -3.

Help me please yallllll

Answers

Answer:

x=21

Step-by-step explanation:

8x-7 = 9x-28 (corresponding angles are congruent)

8x = 9x-21 (algebra)

x = 21 (algebra)

Marya wants to factor the polynomial 36x3 – 22x2 – 144x. Which term can she add to the polynomial that would not change its greatest common factor? Check all that apply.–11
–50xy
–40x2
24
10y

Answers

Answer:

–50xy

–40x2

Will not change the Greatest Common Factor.

Step-by-step explanation:

Greatest common factor is the highest factor that divides 2 or more number.

We can find the GCF by multiplying all the factors that are common to each number.

Factors of 36x^(3)=1,2,3,4,6,9,12,18, 36 and x,x^(2),,x^(3)

Factors of 22x^(2)=1,2,11, x and x^(2)

Factors of 144x=1,2,3,4,6,8,9,12,16,18,24,36 and  x and more.

So the common factors to all three numbers are 1,2 and x.

So GCF = 1*2*x=2x

If we use 11 it will change the GCF to 11.

If we use 50xy it will not change the GCF.

If we use 4040x^(2) it will not change the GCF.

IF we use 24 it will change the GCF.

If we use 10y it will change the GCF.
Given:

36x³ - 22x² - 144x

GCF:
36 ÷ 2 = 18
18 ÷ 2 =   9
  9 ÷ 3 =   3  

22 ÷ 2 = 11

144 ÷ 2 = 72
  72 ÷ 2 = 36
  36 ÷ 2 = 18
  18 ÷ 2 =   9
    9 ÷ 3  =  3

2 is the GCF of all terms. We can add 24. It would not change the GCF of the polynomial.

36x³ - 22x² - 144x + 24

2(18x³ - 11x² - 72x + 12)

Jill Barkely obtained a 25-year, $460,000 mortgage loan from University Savings and Loan Association with 6% interest. The monthly payment is $2,962.40. For the first payment, find the interest to the nearest cent.

Answers

Have you considered calculating it directly? $2,962.40*(0.06/12)
If you do that then your answer would be 14.81...
Hope this helps...  :)

Evaluate the following function for f(4).f(x) = 5 + √x


Write your answer as an integer, like this: 12

Answers

f( 4 ) = 5 + √(4) = 5 + 2 = 7 ;
f(4)=5+\sqrt4=5+2=7
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