84% of goals he attempted during a soccer tournament if he attempted 25 goals how many goals did he make

What are the domain and range of the algebraic function you found by graphing the equation y = 36 – 3x? Please hurry I'm being t

pychu [463]

Answer:

Domain $=(-\infty,\ \infty)$

Range $=(-\infty,\ \infty)$

Step-by-step explanation:

Domain : Domain of a function $f(x)$ is the set of all possible values of $x$ for which $f(x)$ exists.

Range : range of a function $f(x)$ is the set of all possible values of $f(x)$ .

Here $f(x)=36-3x$

$x$ can be any value from $-\infty$ to $\infty$ .

$\forall\ x=a\ there\ exists\ f(x)\ such\ that\ f(a)=36-3a$

hence possible value of $x$ can be any value between $-\infty$ and $\infty$

$domain =(-\infty,\ \infty)$

let $y=-f(x)$

$y=36-3x\\3x=36-y\\\\\\x=\frac{36-y}{3}\\$

so $\forall\ f(x)=y\ there\ exist\ x\ \in(-\infty,\ \infty)$ .

hence $f(x)$ can have any value between $-\infty\ to\ \infty.$ .

Range $=(-\infty,\ \infty)$

4 0

3 years ago

The graph of y > 1 2 x - 2 is shown. Which set contains only points that satisfy the inequality? A) {(6, 1), (-1, -3), (4, 4)

Kaylis [27]

Answer:

Option B) {(1, -1), (-3, -3), (2, 4)}

Step-by-step explanation:

<u><em>The correct inequality is </em></u>

$y>\frac{1}{2}x-2$

The solution of the inequality is the shaded area above the dashed line $y=\frac{1}{2}x-2$

see the attached figure to better understand the problem

we know that

If a ordered pair satisfy the inequality, then the ordered pair must lie in the shaded area of the solution

<u><em>Verify each case</em></u>

case A) {(6, 1), (-1, -3), (4, 4)}

ordered pair (6,1)

For x=6, y=1

substitute in the inequality

$1>\frac{1}{2}(6)-2$

$1>1$ ---> is not true

therefore

The point not satisfy the inequality

case B) {(1, -1), (-3, -3), (2, 4)}

ordered pair (1,-1)

For x=1, y=-1

substitute in the inequality

$-1>\frac{1}{2}(1)-2$

$-1>-1.5$ ---> is true

so

The point satisfy the inequality

ordered pair (-3,3)

For x=-3, y=3

substitute in the inequality

$3>\frac{1}{2}(-3)-2$

$3>-3.5$ ---> is true

so

The point satisfy the inequality

ordered pair (2,4)

For x=2, y=4

substitute in the inequality

$4>\frac{1}{2}(2)-2$

$4>-1$ ---> is true

so

The point satisfy the inequality

therefore

The set contains only points that satisfy the inequality

case C) {(1, -1), (-3, -3), (4, -2)}

ordered pair (4,-2)

For x=4, y=-2

substitute in the inequality

$-2>\frac{1}{2}(4)-2$

$-2>0$ ---> is not true

therefore

The point not satisfy the inequality

case D) {(-1, -3), (-3, -3), (2, 4)}

ordered pair (-1,-3)

For x=-1, y=-3

substitute in the inequality

$-3>\frac{1}{2}(-1)-2$

$-3>-2.5$ ---> is not true

therefore

The point not satisfy the inequality

4 0

3 years ago

Which number is rational?<br> –2.1010010001...<br> –0.8974512...<br> 1.2547569...<br> 5.3333333...

saveliy_v [14]

Answer:

5.3333333333

Step-by-step explanation:

A number is called a rational if it can be written in the form of p/q where p/q are integers and q≠0.

The terminating numbers are always a rational number.

The number 5.3333333... is a rational number.

8 0

3 years ago

Pat created a scatter plot and drew a line of best fit, as shown.

Hunter-Best [27]

<h3>Answer: Choice D</h3><h3>y = (-1/5)x + 7</h3>

======================================

Work Shown:

We will only focus on the two points that are on the regression line.

Those two points are (10,5) and (15,4)

Let (x1,y1) = (10,5) and (x2,y2) = (15,4)

Find the slope of the line through (x1,y1) = (10,5) and (x2,y2) = (15,4)

m = (y2 - y1)/(x2 - x1)

m = (4 - 5)/(15 - 10)

m = -1/5

m = -0.2

Plug m = -0.2, and (x1,y1) = (10,5) into the point slope formula. Solve for y

y - y1 = m(x - x1)

y - 5 = -0.2(x - 10)

y - 5 = -0.2*x - 0.2*(-10) ... distribute

y - 5 = -0.2*x + 2

y - 5+5 = -0.2*x + 2 + 5 ... add 5 to both sides

y = -0.2*x + 7

y = (-1/5)*x + 7 .... convert -0.2 to -1/5

The equation y = (-1/5)x + 7 is in the form y = mx+b with m = -1/5 = -0.2 as the slope and b = 7 as the y intercept. The y intercept is where the graph crosses the vertical y axis. More specifically, the location of the y intercept in this case is at the point (0,7).

4 0

3 years ago

HELP ME WITH THIS MATH

tester [92]

Answer: Do you know what the total degree is but if not an algebraic equation us 148-x = 26

Step-by-step explanation:

7 0

3 years ago

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