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2 years ago

Solve 7x +2x over 3 =5

1 answer:

3 0

X= 15/9 — combine like terms to get 9x/3=15. Isolate the variable by multiplying both sides by 3. 9x=15 — divide both sides by 9 to isolate variable.

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What is the solution set of the equation?<br> <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20-18%2B9x%3Dx" id="TexFormula1"

bagirrra123 [75]

9514 1404 393

Answer:

x ∈ {2.07014981016}

Step-by-step explanation:

The equation can be rewritten as ...

√x = 18-8x

x = 324 -288x +64x²

64x² -289x +324 = 0

x = (289 ±√577)/128 ≈ {2.07015, 2.44548}

Since √x must be positive, we know that ...

18 -8x ≥ 0

x ≤ 18/8 = 2.25

The larger of the above solutions is extraneous, so the solution set is ...

x ∈ {(289 -√577)/128} ≈ {2.07015}

8 0

2 years ago

The spinner is equally likely to land on any of the five sections. A spinner contains 5 equals sections labeled 1, 2, 3, 4, 5. S

Maurinko [17]

Answer:

Three-fifths

Step-by-step explanation:

The number of sections is 5 and the unshaded section is 3 even numbers are 1, 3 and 5. Since 3 is in both cases there are 3 numbers: 1, 3 and 5. So it is three-fifths

8 0

2 years ago

You throw two four-sided dice. Let the random variable X represent the maximum value of the two dice. Compute E(X). Round your a

Troyanec [42]

Answer:

E(X)=3.125

Step-by-step explanation:

We are given that two four sided dice.

Then , the sample space

{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(3,4),(4,1),(4,2),(4,3),(4,4)}

Total number of outcomes=16

Let the random variable X represent the maximum value of the two dice

Outcomes X P(X)

(1,1) 1 1/16

(1,2),(2,1),(2,2) 2 3/16

(1,3),(2,3),(3,1),(3,2),(3,3) 3 5/16

(1,4),(3,4) ,(2,4),(4,1),(4,2),(4,3),(4,4) 4 7/16

Using the probability formula

$P(E)=\frac{Favorable\;outcomes}{Total\;number\;of\;outcomes}$

Now,

$E(X)=\sum_{i=1}^{n}x_iP(x_i)$

$E(x)=1(1/16)+2(3/16)+3(5/16)+4(7/16)$

$E(x)=\frac{1+6+15+28}{16}$

$E(x)=\frac{50}{16}=3.125$

7 0

3 years ago

What is the measure of ZABD?

pshichka [43]

39° because a right angle adds up to 90°

7 0

2 years ago

Read 2 more answers

Write an expression to find the perimeter of the rectangle below.

blondinia [14]

Answer:

18x^2

Step-by-step explanation:

6 0

2 years ago