Mathematics, 10.02.2021 18:50, only1cache

Solve then show the answers on a graph. 2. y + 2x = 12 for D = {2, 3, 4}

3. 3x − 3y = 9 for D = {0 ≤ x ≤ 8}

4. The function h(d) = 2d + 4.3 relates the h height of the water in a fountain in feet to the d diameter of the pipe carrying the water. Graph

Determine the domain for each function. Then graph the function.
    1.    for R  {5, 6, 7, 8}
        D 
    2.    6x  3y  12 for R  {4 ≤ y ≤ 8}
        D 
    3.    3x  y  4 for R  {4 ≤ y ≤ 8}
        D 
Solve.
    4.    A car travels at a speed of 25 miles per hour. The d distance it travels in h hours is given by the equation d  25h. Write the equation as a function. Use a calculator to graph the function for the domain {0 ≤ h ≤ 5}. What is the meaning of the point (3.5, 87.5) on the graph?
        Function:         Explain:
    5.    The formula for finding the distance traveled by a free-falling object is
D  16t2, where t is the time in seconds. Use a calculator to graph this function for the domain {1, 2, 3, 4, 5, 6}. Find the range. Use the graph
to find how much time it takes the object to fall 300 feet.
        Range:
        Explain:

Answers: 3

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Answers

answered: Guest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

answered: Guest

The answer to your question is 1/9

answered: Guest

$a_1 = 1$ , and

$a_{n+1} = a_n + (n + 1)$ for $n \ge 1$

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote $a_1 = 1$ , $a_2 = 3$ , $a_3 = 6$ , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from $a_1 = 1$ , to get to $a_2 = 3$ , we add $2(=1+1)$