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elena-s [515]
4 years ago
15

Ms. Pacheco, Mr. Edwards, and Mr. Richards are three math teachers at Turner Middle School. Ms. Pacheco is three years older tha

n Mr. Richards. Mr. Edwards is twice as old as Mr. Richards. The sum of Mr. Richards' age and Mr. Edwards' age is 81. How old is each person?
Mathematics
1 answer:
mina [271]4 years ago
7 0
Ms. Pacheco = P
Mr. Richards = R
Mr. Edwards = E
P = R + 3
E = 2R
R + E = 81
81 = R + 2R
81 = 3R
81 ÷ 3 = R
R = 27
P = R + 3
P = 27 + 3
P = 30
E = 2R
E = 2×27
E = 54
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Find all the zeroes of the polynomial function f(x)=x^3-5x^2+6x-30 in you use synthetic division show all three lines of numbers
jonny [76]

Answer:

5,i\sqrt 6 and -i\sqrt 6

Step-by-step explanation:

We are given that  the polynomial

f(x)=x^3-5x^2+6x-30

We have to find the all the zeroes of the polynomial function.

f(x)=0

x^3-5x^2+6x-30=0

x^2(x-5)+6(x-5)=0

(x-5)(x^2+6)=0

x-5=0

x=5

x^2+6=0

x^2=-6

x=\pm\sqrt{-6}=\pm i\sqrt6

Using \sqrt{-1}=i

Hence, all the zeroes of the polynomial function are

5,i\sqrt 6 and -i\sqrt 6

7 0
3 years ago
The frequency table shows the results of tossing a ball 24 times into four colored sections on a carnival game. Based on the dat
Zanzabum

Answer:

See the explanation

Step-by-step explanation:

Ball is tossed 24 times

So the total number of outcomes (tosses) = N = 24

The ball lands in Blue section 3 times out of 24 tosses. So it becomes 3/24

The ball lands in Green section 5 times out of 24 tosses. So it becomes 5/24

The ball lands in Red section 12 times out of 24 tosses. So it becomes 12/24

The ball lands in Yellow section 4 times out of 24 tosses. So it becomes 4/24

Now we have to find how many times will the ball most likely land in the yellow section when it’s tossed 200 times. So the total number of outcomes here is N = 200. The favorable outcome here is that the ball lands in Yellow section. So we use the frequency table above for yellow section:

Yellow / Total tosses

4/24 = x/200

4*200 = 24x

800 = 24 x

24 x = 800

x = 800 / 24

x = 33.3

So ball most likely land in the yellow section 33 times when it’s tossed 200 times So it becomes 33/200 = 0.165 or 10.65% probability that ball will land in yellow section.

8 0
3 years ago
Read 2 more answers
B) Sanjit reads 3 books in 1 week.<br> Express as a unit rate
Marina86 [1]

Answer:

Explanation down below.

Step-by-step explanation:

1 week = 7 days.

7/3 = 1 book per ___

7/3 = 2 1/3.

Sanjit reads 1 book every 2 1/3 days.

7 0
3 years ago
8. what is the graph of the inequality in the coordinate plane? <br><br> y&lt;-2
LekaFEV [45]
1) Draw the coordinate plane

2) Draw the line y = - 2

It is a line parallel to the y axis, two units below the origin

3) The solution (graph of the inequality y < - 2) is all the area below the line y = - 2.
4 0
3 years ago
Write the first six terms of the geometric sequence with the first term a 1 equals negative one fourth a1=− 1 4 and common ratio
julia-pushkina [17]

Answer:

-1/4, -1/16, -1/64, -1/256, - 1/1024, -1/4096.

Step-by-step explanation:

The first 6 terms are a1, a1 r, a1r^2, a2r^3...... a1r^5.

= -1/4,   -1/4 * 1/4 ,    - 1/4* (1/4)^2,   -1/4*(1/4)^3...

= -1/4, -1/16, -1/64, -1/256, - 1/1024, -1/4096.

5 0
4 years ago
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