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stiv31 [10]
3 years ago
8

4(x – 1) < 20 and x + 6 > 9

Mathematics
1 answer:
JulijaS [17]3 years ago
6 0
Answer: x < 6, x > 3
Explanation:
4(x-1) < 20
4x-4 < 20
4x < 24
x < 24/4
x < 6

x + 6 < 9
x < 3
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If f(x) = 3x2 + 2 and g(x) = x2 – 9, find (f – g)(x).
hoa [83]

Answer:

2x^2 +11

Step-by-step explanation:

f(x) = 3x^2 + 2 and g(x) = x^2 – 9

(f – g)(x) =  3x^2 + 2 -( x^2 – 9)

Distribute the minus sign

                     3x^2 + 2 - x^2 + 9

Combine like terms

                     2x^2 +11

                 

8 0
3 years ago
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PtichkaEL [24]
I think the best figure for a cereal box would be a cylinder. There are no corners on a cylinder where it is hard to fit round pieces of cereal into.  The formula for the surface area of the cylinder is 2*pi*r*h+2*pi*r^2. The formula for the volume of the cylinder is pi*r^2*h. (Then I would add some more info supporting why you think a cylinder would make a good box.)
6 0
3 years ago
A golfer keeps track of his score for playing nine holes of golf​ (half a normal golf​ round). His mean score is 8080 with a sta
solniwko [45]

Answer:

Therefore the mean and standard deviation of his total score if he plays a full 18 holes are 160 and 11\sqrt2 respectively.

Step-by-step explanation:

Given that,

For the first 9 holes X:

E(X) = 80

SD(X)=13

For the second 9 holes Y:

E(Y) = 80

SD(Y)=13

For the sum W=X+Y, the following properties holds for means , variance and standard deviation :

E(W)=E(X)+E(Y)

     and

V(W)=V(X)+V(Y)

⇒SD²(W)=SD²(X)+SD²(Y)        [ Variance = (standard deviation)²]

\Rightarrow SD(W)=\sqrt{SD^2(X)+SD^2(Y)}

∴E(W)=E(X)+E(Y) = 80 +80=160

            and

∴SD(W)=\sqrt{SD^2(X)+SD^2(Y)}

              =\sqrt{11^2+11^2}

               =\sqrt{2.11^2}

               =11\sqrt2

Therefore the mean and standard deviation of his total score if he plays a full 18 holes are 160 and 11\sqrt2 respectively.

                                               

4 0
3 years ago
To avoid a storm a passenger jet pilot decendents 0.44 mile in 0.8 minute.what was the planes average change in altitude per min
Lemur [1.5K]
.44/.8=×/1
×=.55
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8 0
3 years ago
What is the value of x
Nezavi [6.7K]

\tan(16)  =  \frac{8.3}{x}  \\

0.2867453858 =  \frac{8.3}{x}  \\

Thus :

x =  \frac{8 .3}{0.2867453858}  \\

x = 28.9455398797

Thus :

x = 28.9

3 0
2 years ago
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