What is the value of the expression (3a-b)/(6(b+a)) when a = 4 and b = -2?

Answers

Answer 1
Answer:

Answer:-2

Step-by-step explanation:3(4) - (-2) ÷ 6(-2) + 4

= 12 + 4 ÷ -12 + 4

= 16 ÷ -8

= -2

Answer 2
Answer:

Answer:

It will be 7/6

Step-by-step explanation:

Plug the values of a and b in the expression

You should take care in the fraction first

Then it will be ( 12 + 2 )/ 6 (-2+4)

= 14 / 12 = 7/6


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A researcher found that 55% of families in the United States have one child under the age of 21, 22% have two children under the age of 21, 15% have three children under the age of 21, 5% have 4 children under the age of 21and 3% have 5 or more children under the age of 21. If a family is selected at random, what is the probability the family has 1 or 3 children under the age of 21?

Answers

Answer:

67% or 0.67

Step-by-step explanation:

Given that:

P(1 child under age 21) = 55%

P(2 children under age 21) = 22%

P(3 children under age 21) = 15%

P(4 children under age 21) = 5%

P(5 or more children under age 21) = 3%

If a family is selected at random, what is the probability the family has 1 or 3 children under the age of 21?

P(1 or 3 children under age 21):

Either the selected family has 1 child under 21 years of age OR the selected family has 3 children under 21 years of age ;

P(1 child under age 21) + P(3 children under age 21)

= 55% + 15%

= 67% = 0.67

How do you find rhe slope of (12,-18) and (-15,-18)

Answers

slope of 2 points is
if you has the points
(x1,y1) and (x2,y2)

slope=(y2-y1)/(x2-x1)

we are given
(12,-18)
(-15,-18)

we can either take shortcut and recocnize that -18-(-18)=0 so that make the slope 0

or we can continue
(-18-(-18))/(-15-12)=0/-27=0


slope=0
you do Y2-Y1/ X2-X1, so -18--18(change sighn so it would be -18+18) which equals 0, then -15-12= -27, 0/-27= 0 so the slope would be 0

X + x - 5 greater than equal to 33

Answers

To write this inequality first lets write the word form. The determine the symbol, and write it out:-

x + x - 5 greater than or equal to 33

greater than or equal to sign is ≥.

lets write it out with the sign:-

x + x - 5 greater than or equal to 33.
x + x - 5 ≥ 33

If we were to write this in correct words it would be 

A number plus a number minus five, is greater than or equal to thirty-three. 

Hope I helped ya!! xD
x+x-5  \geq 33\n\n2x -5 \geq 33\n\n2x -5 + 5 \geq 33 + 5\n\n2x \geq 38\n\n(2x)/(2) \geq (38)/(2)\n\n\boxed{\bf{x \geq17}}

Solve for m: 8(m+5)=16 ?

Answers

8(m+5)=16
8m+40=16
8m=24
m=3
8+5=13 then 16 -13 is 3=m

From a point p on level ground, the angle of elevation of the top of a tree is 60°. If the tree is 39m high, how far is its base from p

Answers

Hello,

tan 60°=√3
d/39=tan 60°==>d=39/√3=39√3/3=13√3=22,516660498... (m)

Solve 2cos^2x+3cosx-2=0

Answers

\bf 2cos^2(x)+3cos(x)-2=0\impliedby \textit{so, notice is just a quadratic} \n\n\n\ [2cos(x)~~-~~1][cos(x)~~+~~2]=0\n\n -------------------------------\n\n 2cos(x)-1=0\implies 2cos(x)=1\implies cos(x)=\cfrac{1}{2} \n\n\n \measuredangle x=cos^(-1)\left( (1)/(2) \right)\implies \measuredangle x= \begin{cases} (\pi )/(3)\n\n (5\pi )/(3) \end{cases}\n\n -------------------------------\n\n cos(x)+2=0\implies cos(x)=-2

now, for the second case, recall that the cosine is always a value between -1 and 1, so a -2 is just a way to say, such angle doesn't exist.