Find the number that is 42 less than twice the opposite of itself.

(ab² + 13b - 4a) + (3ab² + a +7b)

Natalija [7]

Answer:

4ab² + 20b - 3a

Step-by-step explanation:

This question most likely asks us to simplify the expression, as factoring is not possible...

(ab² + 13b - 4a) + (3ab² + a + 7b),

ab² + 13b - 4a + 3ab² + a + 7b,

ab² + 3ab² + 13b + 7b - 4a + a,

Solution : 4ab² + 20b - 3a

4 0

3 years ago

You saved $300 to spend over the summer. You decide to budget $50 to spend each week.

Oduvanchick [21]

Answer:

Part c)

The Slope of the line is: m=-50 and represents the amount of money spent per week.

Part d)

The y-intercept is: c=300 and represents the maximum money we have that can be spend over the weeks (i.e. our maximum budget alowed).

Step-by-step explanation:

To solve this question we shall look at linear equations of the simplest form reading:

$y = mx+c$ Eqn(1).

where:

$y$ : is our dependent variable that changes as a function of x

$x$ : is our independent variable that 'controls' our equation of y

$m$ : is the slope of the line

$c$ : is our y-intercept assuming an $x$ ⇔ $y$ relationship graph.

This means that as $x$ changes so does $y$ as a result.

Given Information:

Here we know that $300 is our Total budget and thus our maximum value (of money) we can spend, so with respect to Eqn (1) here:

$c=300$

The budget of $50 here denotes the slope of the line, thus how much money is spend per week, so with respect to Eqn (1) here:

$m=50$

So finally we have the following linear equation of:

$y= - 50x + 300$ Eqn(2).

Notice here our negative sign on the slope of the line. This is simply because as the weeks pass by, we spend money therefore our original total of $300 will be decreasing by $50 per week.

So with respect to Eqn(2), and different weeks thus various $x$ values we have:

Week 1: $x=1$ we have $y= -50 *1 + 300 = -50 +300 = 250$ dollars.

Week 2: $x=2$ we have $y= -50 *2 + 300 = -100 +300 = 200$ dollars.

Thus having understood the above we can comment on the questions asked as follow:

Part c)

The Slope of the line is: $m=-50$ and represents the amount of money spent per week.

Part d)

The y-intercept is: $c=300$ and represents the maximum money we have that can be spend over the weeks (i.e. our maximum budget alowed).

4 0

3 years ago

A ball dropped from the top of a building can be modeled by the function

timama [110]

A ball dropped from the top of the building can be modeled by the function f(t)=-16t^2 + 36 , where t represents time in seconds after the ball was dropped. A bee's flight can be modeled by the function, g(t)=3t+4, where t represents time in seconds after the bee starts the flight.

4 0

3 years ago

Write each prime factorization using exponents. 1. 2×2×2×7 2. 2×3×3 3. 7×7×7×7

frez [133]

1). 2³ x 7
2). 2 x 3²
3). 7⁴

4 0

3 years ago

Which of the following is an exponential function?

aleksklad [387]

Answer:

d) f(x)=3^x

Step-by-step explanation:

it is written in exponential function form

7 0

3 years ago