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4 years ago

A single die is rolled, find the probability that the number is even or less than 6

1 answer:

8 0

1/1 chance, since 2,4,6 is even, and all numbers are less than 6 except 6, but since you said or, it doesn't matter because 6 is still even despite being not less than 6.

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Which expression is<br>equivalent to 3(X-4)

agasfer [191]

Answer:
3x - 12 is an expression equivalent to 3(x - 4)

Explanation:
Another way to write this expression is to simplify it. To simplify the given expression, multiply the number three by the x and negative four inside the parentheses.

3(x - 4)
3x - 12

Therefore, 3x - 12 is the simplified version of the expression 3(x - 4). In other words, 3x - 12 is an expression equivalent to 3(x - 4).

5 0

3 years ago

How do I go about solving this.

notka56 [123]

<h2>Answer:</h2><h2>x=37.5° and angle ABC is 52.5°</h2><h2>Step-by-step explanation:</h2>

We know that angle CBD is a right angle.

We also know that angle ABE is 180°.

Our unknown angle values are angle DBE and angle CBA.

angle CBD minus angle ABE will be 90°.

angle ABC plus angle DBE must equal 90°.

Solving for x:

(x+15)+(x)=90°

(x+15-15)+(x)=90°-15

(x)+(x)=75°

2x=75°

2x/2=75°/2

x=37.5°

Checking the work:

ABC=37.5°+15=52.5°

CBD=90°

DBE=37.5°

In conclusion, ABC plus CBD plus DBE equals 180°

<em>Hope this helped!</em>

6 0

4 years ago

18. There are 56 fish in a tank, and each fish is yellow, blue, or black. There are six more yellow fish than blue fish, and fou

Alex73 [517]

Answer:

There are 24 yellow fish

Step-by-step explanation:

Blue: x

Yellow: x + 6

Black: x - 4

x + (x + 6) + (x - 4) = 56

3x + 2 = 56

3x = 54

x = 18

7 0

3 years ago

Baxter is thinking about buying a car. The table below shows the projected value of two different cars for three years.

MAVERICK [17]

Answer:

A) car 1: exponential

car 2: linear

B) car 1: $f(x)=18500(0.94)^{x-1}$

car 2: $f(x)=-1000x+19500$

C) Yes, there will be a significant difference of $1,100.40 which is approx 10% of the value of the cars after 10 years.

Step-by-step explanation:

Car 1: exponential as the projected value is not decreasing by the same amount each year

Car 2: linear as the projected value decreases by the same amount each year ($1000)

General form of exponential function: $y=ab^x$

a = initial value = 18500

b = growth factor = $\dfrac{17390}{18500}=0.94$

$\implies f(x)=18500(0.94)^{x-1}$

NB We have to change x to "x-1" since we are told in the table that <u>after</u> 1 year the car's value is 18500.

General form of linear function: $y=mx+b$

$m=\dfrac{\textsf{change in} \ y}{\textsf{change in} \ x}=\dfrac{17500-18500}{2-1}=-1000$

$y-y_1=m(x-x_1)$

$\implies y-17500=-1000(x-2)$

$\implies f(x)=-1000x+19500$

Car 1 after 10 years: $\implies f(10)=18500(0.94)^{10-1}=\$10,600.40$

Car 2 after 10 years: $\implies f(10)=-1000(10)+19500=\$9,500$

Difference = 10600.40 - 9500 = 1100.40

Yes, there will be a significant difference of $1,100.40 which is approx 10% of the value of the cars after 10 years.

6 0

2 years ago

Factor. x^2-2x-3 please

otez555 [7]

Answer:

(x+1)(x-3)

Step-by-step explanation:

i hope this helps :)

7 0

3 years ago