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2 years ago

What expression is equivalent to (x2+3x-4)(x-5)

Mathematics

1 answer:

dlinn [17]2 years ago

6 0

(x²+3x-4)(x-5)
x³-5²+3x²-15x-4x+20
x³-2x²-19x+20

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A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func

djyliett [7]

Answer:

$y=120 * 1.1^x$ --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y=ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 = a * b^0$

$120 = a * 1$

$120 = a$

$a=120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute: $a=120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

So, the function is:

$y=ab^x$

$y=120 * 1.1^x$

To calculate the monthly rate (r), we have:

$y =a(1 + r)^x$

Compare to: $y =ab^x$

$1 + r = b$

Make r the subject

$r = b-1$

Substitute $b = 1.1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

5 0

2 years ago

For a Saturday matinee, adult tickets cost $8.50 and kids under 12 pay only $7.00. If 80 tickets are sold for a total

jolli1 [7]

Answer:

30 adult tickets,
50 kids tickets

Step-by-step explanation:

Given

Cost of adult ticket = $8.50
Cost of kids ticket = $7.00
Number of tickets = 80
Total cost = $605

Let the adult ticket be a and kids be k

We got equations

a + k = 80
8.5a + 7k = 605

From the first equation we get

k = 80 -a

Substituting k in the second equation

8.5a + 7(80 - a) = 605
8.5a - 7a + 560= 605
1.5a = 45
a = 45/1.5
a = 30

Then finding k

k = 80 - 30 = 50

8 0

2 years ago

Write the addition or subtraction shown by the number line

disa [49]

Start at 4.

So far you have: 4

Now you go 7 units left. Going left means a subtraction. Going 7 units left means subtracting 7.

So far you have: 4 - 7

The result is -3.

The subtraction is:

4 - 7 = -3

5 0

2 years ago

Who is involved in the stimulus check please help me i really need help please

MA_775_DIABLO [31]

Answer:

Go on the IRS website and fill out the form.... this is what heard beetween a conversion with my brother and dad

Step-by-step explanation:

7 0

2 years ago

Choose the graph that represents the equation y=3[x+1]+1.

MatroZZZ [7]

Answer:

Step-by-step explanation:

Discussion

You haven't given us any choices. Always do that it you have them. Look for the graph that looks like the one below. It has the following characteristics

It opens upward
It lowest point is -1,1
y never equals zero
The y intercept is 0,4

7 0

1 year ago