All categories

3 years ago

What is the slope of this table

Mathematics

2 answers:

Elden [556K]3 years ago

6 0

Answer:

Step-by-step explanation:

slope = (y2-y0)/(x2-x0)

Using pts (-4,-9), (3,12):

(12-(-9))/(3-(-4))= 21/7 = 3

rodikova [14]3 years ago

5 0

3x

What equation: y= 3x+3

You might be interested in

Find the possible values for s in the inequality 12s – 20 ≤ 50 – 3s – 25. A. s ≤ 9 B. s ≤ 3 C. s ≤ 1/3 D. s ≤ 5/9

Kitty [74]

The answer wil be B.

7 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

Solve using substitution. x - 7y = 13 x + 4y = 2

belka [17]

Answer:

second is 1.50 first is 11.15

Step-by-step explanation:

see if it works for you I changed my fractions into decimals

7 0

3 years ago

List the steps that should be used to solve the equation f(x) = g(x) by graphing when f(x) = (1/2)² - 3 and g(x) = 3x + 5?

jolli1 [7]

value of x is: $x=\frac{-31}{12}$

Step-by-step explanation:

We need to solve the equation f(x)=g(x)

where $f(x)=(\frac{1}{2})^2-3$

and $g(x) = 3x + 5$

Solving to find f(x)=g(x)

Putting values of f(x) and g(x)

$f(x)=g(x)\\(\frac{1}{2})^2-3=3x + 5\\\frac{1}{4}-3=3x + 5\\Subtarct\,\,5\,\,on\,\,both\,\,sides:\\\frac{1}{4}-3-5=3x + 5-5\\\frac{1}{4}-8=3x\\Taking\,\,LCm\,\,on\,\,left\,\,side\\\frac{1-8*4}{4}=3x\\\frac{-31}{4}=3x\\Divide\,\,both\,\,sides\,\,by\,\,3\\x=\frac{-31}{4*3}\\x=\frac{-31}{12}$

So, value of x is: $x=\frac{-31}{12}$

The graph will be a straight line x= -2.58 or x = -31/12

Keywords: Composition of Functions

Learn more about Composition of Functions at:

#learnwithBrainly

7 0

4 years ago

A certain prescription drug diminishes in the system at a rate of 25% per hour. If a person was administered 1450mg of the drug,

Helen [10]

9514 1404 393

Answer:

459 mg
about 20 hours

Step-by-step explanation:

The decay factor is 1 -25% = 0.75 per hour, so the exponential equation can be written ...

r(t) = 1450·0.75^t . . . . . milligrams remaining after t hours

a) After 4 hours, the amount remaining is ...

r(4) = 1450·0.75^4 ≈ 458.79 . . . mg

About 459 mg will remain after 4 hours.

b) To find the time it takes before the amount remaining is less than 5 mg, we need to solve ...

r(t) < 5

1450·0.75^t < 5 . . . . use the function definition

0.75^t < 5/1450 . . . . divide by 1450

t·log(0.75) < log(1/290) . . . . . take logarithms (reduce fraction)

t > log(1/290)/log(0.75) . . . . . divide by the (negative) coefficient of t

t > 19.708

It will take about 20 hours for the amount of the drug remaining to be less than 5 mg.

7 0

3 years ago