All categories

3 years ago

Solve the following equation for x 5(x - 1) = -45

Mathematics

1 answer:

abruzzese [7]3 years ago

5 0

Answer:

solution: x = -8

Step by step:

1) 5x-5+5 = -45+5 : Add 5 to both sides

2) 5x= -40 : Simplify

3) 5x/5 = -40/5 : Divide both sides

Hope that helps

You might be interested in

Please help I’m really struggling with this

JulijaS [17]

Answer:

$y=\frac{1}{3} x+4$

Step-by-step explanation:

A linear equation is written as $y=mx+b$ , "m" being the slope and "b" being the y-intercept.

The slope is how many times you rise/run in order to get from one point on the line to the next. You rise (go up/down) 1 unit and run (go left/right) 3 units. Plug in the numbers and you get 1/3.

The y-intercept is where the graph lands on the y-axis, which is 4.

8 0

3 years ago

Read 2 more answers

64 = 4(p + 2) + 24 please solve step by step

Wittaler [7]

Answer:

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant 1 • -16 = -16

Step-2 : Find two factors of -16 whose sum equals the coefficient of the middle term, which is 6 .

-16 + 1 = -15

-8 + 2 = -6

-4 + 4 = 0

-2 + 8 = 6 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and 8

p2 - 2p + 8p - 16

Step-4 : Add up the first 2 terms, pulling out like factors :

p • (p-2)

Add up the last 2 terms, pulling out common factors :

8 • (p-2)

Step-5 : Add up the four terms of step 4 :

(p+8) • (p-2)

Which is the desired factorization

3 0

3 years ago

Read 2 more answers

FUNCTIONS QUESTION-----IF YOU ARE A GOOD PERSON PLZ SOLVE THIS FOR ME PLZ I WILL FOREVER BE GRATEFUL♥' GRAPH INCLUDED

stira [4]

Answer:

(a) Domain: x > 4

(b) Range: y < -2

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

Range is the set of y-values that can be outputted by function f(x).

We see that our x-values span from 4 to infinity. Since it is an open dot, we cannot include it in our domain:

(-4, ∞)

We also see that our y-values span from -2 to negative infinity. Since it is an open dot, we cannot include it in our range:

(-∞, -2)

5 0

3 years ago

Which expression is equivalent to \left(3^{-6}\times 3^{3}\right)^{-1}\normalsize?(3 −6 ×3 3 ) −1 ? 3^{-19}3 −19 3^{18}3 18 3^{-

mars1129 [50]

Answer:

Step-by-step explanation:

Given the expression

$\left(3^{-6}\times 3^{3}\right)^{-1}\\$

According to law of indices, this can be written as;

$\left(3^{-6+3})^{-1}\\\\= (3^{-3})^{-1}\\\\= 3^{-3*-1}\\\\= 3^3\\\\= 27$

Hence the required answer is 27

5 0

3 years ago

a beekeeper estimates that his bee population will triple each year. Currently he has 150 bees. Write a function to represent th

Soloha48 [4]

Answer:

Exponential functions!

Step-by-step explanation:

I think what you are dealing with is an exponential function!

So, to solve this, we need to first understand the main form of an exponential function:

$f(x)=a*b^{x}$

Where a is the number we start off with, and b is the constant thing(forgot what it was called).

Now, 150 is our starting number, so it is a, and b is our constant at which the initial term is multiplied, which is 3!

Also, defining variables:

Let f(x)= # of Bees

Let x= # of years

Thus, here is our equation:

$f(x)=150*3^{x}$

So, that's it!

Now, some of my answers have been recently deleted because they violated community guidelines for recommending something that shall not be named, so if you do really need help on the subject, look online! It is the largest source of information humanity has created! (also I cannot explain Exponential Functions in a single paragraph)

Stay Safe!

4 0

3 years ago