-4x+3y=9 solve for y and x

A researcher is exploring the notion that there is an economy of scale in raising children. While having one child might add to

trasher [3.6K]

Answer:

The probability is $G = 85%$

Step-by-step explanation:

From the question we are told that

The percentage of parents that have one child under 18 in their homes is k = 15%

The percentage of parents that have two children is T = 65%

The percentage of parents that have three or more children is Y = 20%

Generally the probability that any given family who is selected have two or more children at home is mathematically evaluated as

$G = T + Y$

=> $G = 65% + 20%$

=> $G = 85%$

4 0

2 years ago

Solve the equation for x. Enter your answers as radical expressions. Then estimate to one decimal place, if necessary.

Darya [45]

Hope you won't be turned off by a correction, but we really need to use the symbol " ^ " to denote exponentiation.

Thus, we have x^2 = 100

Taking the square root of both sides, we get x = plus or minus 10. Verify, please, that both x = -10 and x = +10 satisfy the given equation.

3 0

2 years ago

Determine which equation has the same solutions as the given equation. x2 − 10x − 11 = 0

cupoosta [38]

The equation x² − 10x − 11 = 0 that is equivalent to (x – 5)² = 36. Then the correct option is A.

<h3>What is an equivalent expression?</h3>

The equivalent is the expressions that are in different forms but are equal to the same value.

The equation is given below.

x² − 10x − 11 = 0

Then the equation can be written as

x² − 10x + 25 – 25 − 11 = 0

(x – 5)² = 36

Then the correct option is A.

The complete question is attached below.

More about the equivalent link is given below.

brainly.com/question/889935

#SPJ1

4 0

11 months ago

If BE= 2x-3 and AC=3X+1 FIND AC

NNADVOKAT [17]

In a rectangle, the diagonals are equal. You need to set the two equal to each other. The line BE would be doubled to equal AC. Then solve:
2(2x-3)=3x+1
4x-6=3x+1
x=7
Now that you have x, you can find AC. Just plug it in.
3(7)+1
21+1
22
There you have it! AC=22

6 0

2 years ago

In planning a restaurant, it is estimated that a profit of $8 per seat will be made if the number of seats is no more than 50 in

AleksandrR [38]

Answer:

a. 65 seats

b. $422.50

Step-by-step explanation:

We have the following two functions:

8 * x, {0 <= x <= 50}

x * (8 - 0.1 * (x - 50)), {x> 50}, solving we have:

-0.1 * x ^ 2 + 13 * x, {x> 50}

Now we derive both functions and we are left with:

8, {0 <= x <= 50}

-0.2 * x + 13 {x> 50}

we cannot equal to 0 the first function that is equal to 0, because it would be inconsistent, therefore we equal the second function to 0:

-0.2 * x + 13 = 0

0.2 * x = - 13

x = -13 / -0.2

x = 65

Now, test for increasing and decreasing on the intervals (0.65) and (65, infinity)

p '(60) = -0.2 * (60) + 13 = 1

since this value is positive the profit is increasing on (0.65)

p '(70) = -0.2 * (70) + 13 = -1

becuase this value is negative the profit is decreasing on (65, infinity)

Therefore 65 seats are needed to maximize profit

The maximum value would be:

P (65) = 0.1 * (65 ^ 2) + 13 * 65 = 422.5

That is, the maximum value is $ 422.50

8 0

2 years ago