A summer camp wants to hire counselors and aides to fill its staffing needs at a minimum cost.

Can anyone help me determine the slope of a line

Vitek1552 [10]

To find the slope of a line use the formula m=rise/run to do that all you have to do is take two points from the line

5 0

3 years ago

Help me pls no links :((

Alina [70]

Answer:

YAY

Step-by-step explanation:

7 0

3 years ago

Which of the following is an extraneous solution of (45 minus 3 x) Superscript one-half Baseline = x minus 9?

STALIN [3.7K]

The extraneous solution of the given radical equation is x = 3

<h3>Finding the extraneous solution:</h3>

Here we have the radical equation:

$\sqrt{45 - 3x} = x - 9$

We want to get the extraneous solution, to get it, we first need to square both sides of the equation, so we get:

$(\sqrt{45 - 3x} )^2 = (x - 9)^2\\\\45 - 3x = x^2 - 18x + 81$

Now we got a quadratic equation, we can rewrite it as:

$x^2 - 18x + 81 + 3x - 45 = 0\\\\x^2 - 15x + 36 = 0$

To solve this we use Bhaskara's formula, we will get:

$x = \frac{15 \pm \sqrt{(-15)^2 - 4*1*36} }{2*1} \\\\x = \frac{15 \pm 9}{2}$

Then the two solutions are:

x = (15 + 9)/2 = 12

x = (15 - 9)/2 = 3

<h3>Which one is the extraneous solution?</h3>

Let's evaluate both solutions in our original equation and let's see which is the one that does not work:

for x = 12 we have:

$\sqrt{45 - 3*12} = 12 - 9\\3 = 3$

This is true.

For x = 3 we have:

$\sqrt{45 - 3*3} = 3 - 9\\\\6 = -6$

This is false, so the extraneous solution is x = 3.

If you want to learn more about extraneous solutions, you can read:

brainly.com/question/2959656

4 0

2 years ago

Given the conditional statement ~p -> q which statement is logically equivalent?

icang [17]

Any implication is logically equivalent to its contrapositive. In other words,

¬p ⇒ q ⇔ ¬q ⇒ p

(¬ means the same thing as ~, "not")

To prove this: recall that

p ⇒ q ⇔ ¬p ∨ q

This is because p ⇒ q is true if p is false, or both p and q are true, i.e.

p ⇒ q ⇔ ¬p ∨ (p ∧ q)

Disjunction (∨ or "or") distributes over conjunction (∧ or "and"), so that

p ⇒ q ⇔ (¬p ∨ p) ∧ (¬p ∨ q)

but ¬p ∨ p is always true, or a tautology, so we're just left with ¬p ∨ q.

Then

¬p ⇒ q ⇔ p ∨ q

… ⇔ q ∨ p

… ⇔ ¬(¬q) ∨ p

… ⇔ ¬q ⇒ p

4 0

3 years ago

At Southside Middle School, 20% of the students play an instrument. There are 305 students. How many students play an instrument

Sholpan [36]

Answer:

6.557377049 but if simplified put either 6.5 or 6.6

Step-by-step explanation:

20 divided by 305 is 0.065. 0.065 times 100 is 6.5 or 6.6. Hope you pass.

6 0

3 years ago