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3 years ago

What is 4^2y-3^2=-5y+(-5+7) Please explain step by step i need this asap :/

Mathematics

2 answers:

Sedbober [7]3 years ago

7 0

$4^2y-3^2=-5y+(-5+7)$

simplify stuff by pemdas, 4^2=16, 3^2=9, -5+7=2

$16y-9=-5y+2$

add 5y to both sides

$21y-9=2$

add 9 both sides

$21y=11$

divide both sides by 21

$y=\frac{11}{21}$

dybincka [34]3 years ago

4 0

y = 11/21

To solve this first evaluate the power (then calculate the sum):

$4^{2}$ y - $3^{2}$ = 5y + (-5 + 7)

16y - 9 = -5y + 2

Next Move terms (move variable to the left side and change its sign) (Move constant to the right side and change its sign):

16y - 9 = -5y + 2

16y + 5y = 2 + 9

Next Collect the like terms and calculate the sum:

16y + 5y = 2 + 9

21y = 11

Lastly divide both sides of the equation by 21:

21y = 11

y = $\frac{11}{21}$

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Find the value of x in the triangle shown below 2 10

OlgaM077 [116]

Answer:

the answer is A

Step-by-step explanation:

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5 0

3 years ago

Read 2 more answers

The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price

inn [45]

Answer:

Product A has a greater percentage change in price.

Step-by-step explanation:

Part A:

The price f product A, f (x) after x years is given by:

$f(x) = 0.69\cdot(1.03)^{x}$

After x = 0 years, the price of product A is:

$f(0) = 0.69\cdot(1.03)^{0}=0.69$

After x = 1 years, the price of product A is:

$f(1) = 0.69\cdot(1.03)^{1}=0.69\cdot (1+0.03)=0.69\cdot (1+3\%)$

After 1 year, the price of product A is 3% times more than the original price.

This means that after one year, the new price is 103% of the original price, which means the price product A is increasing by 3%.

Again after x = 2 years, the price of product A is:

$f(2) = 0.69\cdot(1.03)^{2}=[0.69\cdot (1+3\%)]\times (1.03)$

This implies that after 2 years, the price of product A is 103% of the price after year 1.

This implies that the price of product A is 3% more than the previous year.

Thus, the price of product A is increasing each year by 3%.

Part B:

The data for Product B is as follows:

Time (t) Price [f (t)]

1 10,100

2 10,201

3 10,303.01

4 10,406.04

Product B is clearly increasing in price.

Consider the changes in price of Product B in the following intervals of years:

Year 1 - Year 2:

Price in year 1 = $10,100

Price in Year 2 = $10,201

Compute the increase percentage as follows:

$\text{Increase}\%=\frac{10201-10100}{10100}=0.01=1\%$

Year 2 - Year 3:

Price in Year 2 = $10,201

Price in year 3 = $10,303.01

Compute the increase percentage as follows:

$\text{Increase}\%=\frac{10303.01-10201}{10201}=0.01=1\%$

Year 3 - Year 4

Price in year 3 = $10,303.01

Price in Year 4 = $10,406.04

Compute the increase percentage as follows:

$\text{Increase}\%=\frac{10,406.04-10303.01}{10303.01}=0.09999\approx 0.01=1\%$

It is quite clear that the price of product B increases by 1% each year.

Thus, Product A has a greater percentage change in price.

3 0

3 years ago

Write the equation of the line that passes through (-1, 3) and is parallel to the line y = -x + 1.

ra1l [238]

Answer:

Step-by-step explanation:

y = -x + 1......same as y = -1x + 1.....in y = mx + b form, ur slope is in the m position....so the slope of this line is -1.

a parallel line will have the same slope.

(-1,3)...x = -1 and y = 3

slope(m) = -1

y = mx + b.....we have x,y, and m....now we need to find y int (b)

3 = -1(-1) + b

3 = 1 + b

3 - 1 = b

2 = b

so ur parallel equation is : y = -1x + 2...or just y = -x + 2

7 0

3 years ago

The expression 3xy-(2x+4xy) is equivalent to

Goryan [66]

There are no answer options so I will just simplify the expression:
3xy-(2x+4xy)
3xy-2x-4xy
-2x-xy

3 0

3 years ago

There is a 30 percent chance that A can fix her busted computer. If A cannot, then there is a 40 percent chance that her friend

Solnce55 [7]

Answer:

(a) 0.70

(b) 0.40

Step-by-step explanation:

Mutually-exclusive events are those events which cannot occur together.

Consider that events X and Y are mutually exclusive.

P (X and Y) = 0

Here the two events can be defined as follows:

A = A can fix the busted computer

B = B can fix the busted computer

The information provided are as follows:

P (A) = 0.30

P (B) = 0.40

If A cannot, then there is a chance that her friend B can fix it.

The above statement suggest that the events A and B are mutually exclusive, i.e. if A can fix the computer then B does not have to and if cannot then only B will fix it.

That is, P (A and B) = 0.

(a)

Compute the probability it will be fixed by either A or B as follows:

P (A or B) = P (A) + P (B) - P (A and B)

= 0.30 + 0.40 - 0

= 0.70

Thus, the probability it will be fixed by either A or B is 0.70.

(b)

Compute the probability that if it is fixed it will be fixed by B as follows:

P (not A and B) = P (B) - P (A and B)

= 0.40 - 0

= 0.40

Thus, the probability that if it is fixed it will be fixed by B is 0.40.

8 0

3 years ago