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scZoUnD [109]
3 years ago
5

4t - 2 + t2 = 6 + t^2

Mathematics
1 answer:
aliya0001 [1]3 years ago
3 0
Answer:

t = 2 , t = 4

Explanation:

The equation has two solutions.
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The probability that a randomly selected elementary or secondary school teacher from a city is a female is , holds a second job
julsineya [31]

Answer:

The probability that an elementary or secondary school teacher selected at random from this city is a female or holds a second job is 0.90.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = an elementary or secondary school teacher from a city is a female

<em>Y</em> = an elementary or secondary school teacher holds a second job

The information provided is:

P (X) = 0.66

P (Y) = 0.46

P (X ∩ Y) = 0.22

The addition rule of probability is:

P(A\cup B)=P(A)+P(B)-P(A\cap B)

Use this formula to compute the probability that an elementary or secondary school teacher selected at random from this city is a female or holds a second job as follows:

P(X\cup Y)=P(X)+P(Y)-P(X\cap Y)\\=0.46+0.66-0.22\\=0.90

Thus, the probability that an elementary or secondary school teacher selected at random from this city is a female or holds a second job is 0.90.

4 0
3 years ago
Which statement is true about the equations-3x 4y 12 and tx 1?
nydimaria [60]

We need to solve -3x+4y=12 for x

Let's start by adding -4y to both sides

-3x+4y-4y=12-4y

-3x=-4y+12

x = (-4y+12)/-3

x= 4/3 y -4

Now substitute 4/3 y -4 for x in 1/4 x - 1/3 y =1

1/4 x -1/3 y =1

1/4 (4/3 y -4) -1/3 y =1

Use the distributive property

(1/4)(4/3 y) + (1/4)(-4) -1/3 y =1

1/3 y -1 - 1/3 y =1

Now combine like terms

(1/3y -1/3y) + (-1) =1

= -1

-1 = 1

Now add 1 to both sides

0=2

So there are no Solutions

The answer is C


I hope that's help Will :)

7 0
3 years ago
Determine whether each pair of ratios are equivalent. Explain (3/5),(9/15)
Lyrx [107]
Multiple both ratios by a least common denominator 
the least common denominator for both is 15
multiply the first ratio by 3/3
9/15=9/15 
both are equal because when multiplying by the least common denominator you get the same answer
6 0
3 years ago
Which of the following is an extraneous solution of (45-3x)^1/2=x-9?
Iteru [2.4K]

Answer:

C. x =3

Step-by-step explanation:

Extraneous solution is that root of a transformed equation that doesn't satisfy the equation in it's original form because it was excluded from the domain of the original equation.

Let's solve the equation first

\sqrt{45-3x} = x-9\\Taking\ square\ on\ both\ sides\\{(\sqrt{45-3x})}^2 = {(x-9)}^2\\45-3x = x^2-18x+81\\0 = x^2-18x+81-45+3x\\x^2-15x+36 = 0\\x^2-12x-3x+36 = 0\\x(x-12)-3(x-12) = 0\\(x-3)(x-12)\\x-3 = 0\\=> x =3\\x-12 = 0\\x = 12\\We\ will\ check\ the\ solutions\ one\ by\ one\\So,\\for\ x=3\\\sqrt{45-3(3)} = 3-9\\\sqrt{45-9} = -6\\\sqrt{36}= -6\\6\neq -6\\For x=12\\\sqrt{45-3(12)} = 12-9\\\sqrt{45-36} = 6\\\sqrt{36}= 6\\6=6

Hence, we can conclude that x=3 is an extraneous solution of the equation ..

3 0
3 years ago
Please help i’ll give brainliest
Natalija [7]

Problem 1 Answer: x = 2/3y+8

Show Work:

Step 1: Add 2y to both sides.

3x−2y+2y=24+2y

3x=2y+24

Step 2: Divide both sides by 3.

3x/3 = 2y+24/3

x = 2/3y+8

Problem 2 Answer: x=−2y+48

Show Work:

Add -2y to both sides.

x+2y+−2y=48+−2y

x=−2y+48

8 0
3 years ago
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