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3 years ago

What is 4/8 and 3/7 close to 0 1/2 or 1

2 answers:

4 0

4/8 would be closer to half because 4 is half of 8 and 3/7 is closer to being half because it would be 3 to get to 0, 4 to get to a whole and 1 to get to half so 4/8 would be half and 3/7 would be half.

Ede4ka [16]3 years ago

3 0

4/8 is close to 1/2 and 3/7 is also close to 1/2

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Derivative of this function Y= -7X³ -8X² +6X +3

zaharov [31]

In general, the derivative of a single term Ax^(n) is A n x^(n-1) .

And the derivative of a sum of many terms is the sum of the derivatives
of the individual terms.

Using these two rules, the derivative (with respect to 'x') of the expression
in the question is . . .

 Y' = -21x² - 16x + 6

7 0

3 years ago

The function g(x)=-5x-6

BaLLatris [955]

Answer:

D. the slope of f(x) is greater than the slope of g(x)

Step-by-step explanation:

slope of f(x) =rise/run

=y2 -y1 / x2 -x1

slope of f(x)= -1-2/1-0= -3

g(x)= -5x-6

slope of g(x)= -5

-3>-5

D. the slope og f(x) is greater than the slope of g(x)

4 0

3 years ago

Johnny invested $1000 in savings account that yields 2% interest annually. How much will Johnny's investment be worth in 10 year

Ann [662]

Calculate the interest in a year
Multiply the annual percentage of interest by the investment to find the interest.
interest in a year = 2% × 1,000
interest in a year = 0.02 × 1,000
interest in a year = 20
The annual interest is $20

Calculate the interest after 10 years
Multiply the annual interest by 10
interest 10 years = 20 × 10
interest 10 years = 200
The sum of interest after 10 years is $200

Find total investment
investment = first investment + interest in 10 years
investment = 1,000 + 200
investment = 1,200

The investment will be worth $1,200 in 10 years

4 0

4 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.