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Svetach [21]
4 years ago
8

Find r 3(r - 7 ) = 4(2 - 2r) + 4

Mathematics
1 answer:
stiks02 [169]4 years ago
8 0

\bf 3(r-7)=4(2-2r)+4\implies \stackrel{\textit{distributing}}{3r-21=8-8r+4}\implies 3r-21=12-8r \\\\\\ 11r-21=12\implies 11r=33\implies r=\cfrac{33}{11}\implies r=3

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<img src="https://tex.z-dn.net/?f=y%5E2%2B3y%2B2%3D0" id="TexFormula1" title="y^2+3y+2=0" alt="y^2+3y+2=0" align="absmiddle" cla
Semmy [17]

Answer:

y = - 2, y = - 1

Step-by-step explanation:

y² + 3y + 2 = 0

Consider the factors of the constant term (+ 2) which sum to give the coefficient of the y- term (+ 3)

The factors are + 2 and + 1 , since

2 × 1 = 2 and 2 + 1 = 3 , then

(y + 2)(y + 1) = 0

Equate each factor to zero and solve for y

y + 2 = 0 ⇒ y = - 2

y + 1 = 0 ⇒ y = - 1

5 0
3 years ago
The 22 students in Mr. Byers 6th grade class each donated $5.00 for Mr. Byers' end of year gift. When Jessica went to purchase t
Advocard [28]

Answer:

$140.00

Step-by-step explanation:

22 students x $5.00 + $30

22 x $5.00 = $110.00

$110.00 + $30.00 = $140.00

7 0
3 years ago
Read 2 more answers
In a lumberjack competition, a contestant is blindfolded and then spun around 9 times. The contestant then immediately tries to
Kazeer [188]

Answer:

9.364 is the expected number of points.

we can approximate this to 10 points if we want a whole number

Step-by-step explanation:

We have these variables:

[0,5,10,15]

P(x= 0) = p(y>20)+p(y<-20) = 2p(y>20)

P(x=5) = p(-20<=y<=10)+p(10<=y<=20) = 2p(10<=y<=20)

P(x=10) = p(-10<=y<=-3)+p(3<=y<=10) = 2p(3<=y<=10)

P(x=15) = p(-3<=y<=3) = 2p(0<=y<=3)

Z = y/10

Therefore

P(x= 0) = 2(y>20)

= 2p(z>2) = 2(1-p<=2)

= 2(1-0.9772)

= 0.0456

P(x= 5)

= 2p(10<=y<=20)

= 2p(1<=z<=2)

= 2(0.9772-0.8413)

= 0.2718

P(x= 10)

= 2p(3<=y<=10)

= 2p(0.3<=z<=1)

= 2(0.8413-0.6179)

= 0.4468

P(x = 15)

= P(0.6179-0.3821)

= 0.2358

To get expected value of Y

0(0.0456)+5(0.2718)+10(0.4468)+15(0.2358)

= 1.359 + 4.468 + 3.537

= 9.364

E[Y] = 9.364

8 0
3 years ago
Which is the most resonable measure for the length of a bicycle
Zigmanuir [339]
Feet
Inches- maybe
Feet- yes
Yards- to long
3 0
3 years ago
What is the product? 3 x [1 -4 5 -7]
BabaBlast [244]

I'm assuming this question is 3(1-4)(5-7)

3(-3)(-2)

-9(-2)

18

4 0
3 years ago
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