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3 years ago

The solution set for -p^2 − 11p = 0 is { }.

1 answer:

4 0

The solution set: {0, -11} .
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Given: -p² − 11p = 0 ;

Multiply EACH SIDE of the equation by "-1" ; to get rid of the "negative" value ;

-1 * { -p² − 11p = 0 } ;

to get:

p² + 11p = 0 ;

On the "left-hand side" of the equation, factor out a "p" ;

p(p + 11) = 0 ;

p = 0 ;

p = -11 .
______________________________
The solution set: {0, -11} .
______________________________

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Mrs. Lovejoy makes flower arrangements. She has 36 red carnations, 60 white carnations, and 72 pink carnations. Each arrangement

Marat540 [252]

Answer:

12 arrangements

Step-by-step explanation:

We solve this question using the Greatest Common Factor method.

We are told that:

She has 36 red carnations, 60 white carnations, and 72 pink carnations.

The same number of each item should be in each basket.

The greatest number of baskets is calculated as follows:

Step 1

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Step 2

We Identify the number that is greatest and common amongst 36,60, and 72

This is 12.

Then the greatest common factor is 12

Therefore, the greatest number of arrangements she can make if she uses every carnation is 12 arrangements

8 0

3 years ago

write a short note to a friend explaining when to reverse the inequality when you are solving an inequality

Liula [17]

You reverse the inequality when you divide both sides by a negative number.
example:
-5x>45 (you divide both sides here by -5 to get the value of x)
answer:
x<9 (notice inequality has been has been reversed)

3 0

4 years ago

I need help out please quiz

sleet_krkn [62]

Answer:

SSS

Step-by-step explanation:

if 2 sides are equal the third side is also equal

3 0

3 years ago

An ice cream truck driver used the equation Y=KX to show how much money he made selling 9 ice cream bars. He determined he'd mak

4vir4ik [10]

Answer:

$2.77 per bar sold

Step-by-step explanation:

Hi there!

We're given that selling 9 ice cream bars could make the truck driver $24.93. To find how much he'd make per bar sold, divide $24.93 by 9 ice cream bars:

24.93 ÷ 9 = 2.77

Therefore, the truck driver would make $2.77 per bar sold.

We could also find this answer using the given equation, y=kx.

y=kx

Let y equal the earnings. Let x equal the number of ice cream bars sold. Let k equal how much the driver would make per bar sold.

24.93=k(9)

24.93=9k

x=2.77

I hope this helps!

8 0

3 years ago

Please help I don’t understand

Kryger [21]

<h3>Answer: A) 35</h3>

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

Short Explanation:

Subtract the arcs and divide by 2 like so

angle 1 = (longerArc - shorterArc)/2

angle 1 = (100 - 30)/2

angle 1 = 70/2

angle 1 = 35 degrees

---------------------------

Longer explanation:

Refer to the diagram below. I have replaced the 100 and 30 degree arcs with A and B respectively. I've also added in the arc measures of y and z.

Note how the smaller circle arc pieces A, B, y and z all form a complete full circle. So those values add to 360. We get A+B+y+z = 360. We'll use this later.

In the diagram, I've also drawn a blue segment to form a triangle. The angle x we want to find has replaced angle 1. The angles (y+B)/2 and (z+B)/2 are found through the inscribed angle theorem.

Focus on the triangle. The three angles of any triangle always add to 180, so,

(z+B)/2 + (y+B)/2 + x = 180

we can multiply both sides by 2 and we end up with

z+B + y+B + 2x = 360

z+y+2B + 2x = 360

Since we have 360 on the right hand side of this equation, and the equation A+B+y+z = 360, this means that the left sides of each equation are the same.

We can then say the following

z+y+2B + 2x = A+B+y+z

2B+2x = A+B

2x = A+B-2B

2x = A-B

x = (A-B)/2

This is the formula used in the "short explanation" section above. In this case, A = 100 and B = 30, so

x = (A-B)/2

x = (100-30)/2

x = 70/2

x = 35

The measure of angle 1 is 35 degrees.

Side note: With that formula above, we always have A > B.

8 0

3 years ago

Read 2 more answers