Determine whether each number is a solution of the inequality below.

Which of the following is the graph of y=- square root x+1

maks197457 [2]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$y=-\sqrt{x+1}$

Find the intercepts

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0 -----> $y=-\sqrt{0+1}=-1$

The y-intercept is the point (0,-1)

The x-intercept is the value of x when the value of y is equal to zero

so

For y=0 -----> $0=-\sqrt{x+1}$ -----> $x=-1$

The x-intercept is the point (-1,0)

Find the domain

we know that

The radicand must be positive

so

$x+1\geq0$

$x\geq-1$

All real numbers greater than or equal to -1

The range is all real numbers less than or equal to -1

using a graphing tool

see the attached figure

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2 years ago

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You find 72 coins consisting only of nickels, dimes, and quarters, with a face value of $10.20. However, the coins all date from

Oliga [24]

Answer:

You have found 24 nickels.

Step-by-step explanation:

Let N be the number of nickles, D be the number of dimes and Q be the number of quarters. The number of coins and their face values are given by the following expressions, respectively:

$N+D+Q=72\\0.05N+0.10D+0.25Q=10.20$

As of now we have three variables and two expressions, the final expression needed to solve the linear system is given by the amount offered by the coin dealer:

$10N+20D+15Q=1,060$

Solving the linear system:

$N+D+Q=72\\5N+10D+25Q=1,020\\10N+20D+15Q=1,060\\\\10N-10N+20D-20D+15Q-50Q=1,060-(2*1,020)\\-35Q=-980\\Q=28\\\\5N-10N+10D-10D+25Q-10Q=1,020-720\\-5N+15Q=300\\-5N=300-(15*28)\\N=24$