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alexdok [17]
3 years ago
5

Joe concluded that the expression 3x + 15 + 2x is equivalent to the expression 5(x + 3). Which of these best explains how Joe re

ached his conclusion?
o dividing each term in the first expression by 3
O combining like terms in the first expression and dividing each term by 3
O combining like terms in the first expression and dividing each term by 5
O subtracting 2. and applying the distributive property to the first expression
Mathematics
1 answer:
marta [7]3 years ago
4 0

Answer:

c

Step-by-step explanation:

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How many complex roots does the polynomial equation have?
Olegator [25]

Answer:

2

Step-by-step explanation:

The aquatic equation suggest that 1=1+9-2+69=420 so if you divide that by 69 again you get 2

8 0
3 years ago
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Question 3 (4 MARKS) Find the equation of the tangents to the curve of the function with rule y = x^2 at the points where x = a
Arte-miy333 [17]

Answer:

(0 , -a²)

Step-by-step explanation:

tangent at x = a and x = -a

y = x²     (a , a²) and (-a , a²) must be on the curve and tangent to curve

gradient dy/dx = 2x

slope (m) at x = a is <u>2a</u>     and slope (m') at x=-a is<u> -2a</u>

line1: (y - a²) / (x - a) = 2a

        y - a² = 2a (x - a)                           y = 2ax - a²   ... (1)

line2: (y - a²) / (x + a) = - 2a                   y = -2ax- a²   ... (2)

(1) - (2): 4ax = 0       a≠0    x = 0

y = - a²

I wish I did it right, or ....

3 0
3 years ago
Which situations represent a y-intercept of 2? Select all that apply.
Anastaziya [24]
I am not 100% sure but I believe its,
(0,2)
Ball thrown from an initial height of two feet
Jeremy's change jar that started with a $2 deposit

I chose these because the Y always represents the starting point of whatever the problem is about, then the X represents the progress its made since the beginning. So if it doesn't say start or initial or any words like that its probably not the Y, its the X.
5 0
3 years ago
Read 2 more answers
Each of 5 boys randomly chooses a watch from 12 different styles. What is the probability that at least 2 boys choose the same t
aleksley [76]

Answer:

Ok. So we have 12 different styles of watches to choose from, so that means that the total number of combinations of styles for 5 boys is 12*12*12*12*12, since each boy has his pick of 12 options.

The way to answer this question is by way of the complementary rule: We want the number of ways that the boys can all have different styles. So the first boy to pick has 12 options available to him, the second boy has 11 options available to him, the 3rd boy has 10 options available to him, so on and so forth.

So the probability that the boys all have different watches is (12*11*10*9*8)/12^5= .3819.

To find the probability that at least two boys have the same style would just be 1 -.3819 = 6181

7 0
3 years ago
Determine the solution and indicate the restrictions on the variable.
cupoosta [38]

Answer:

B

Step-by-step explanation:

Subtract 20 from both sides:

-\sqrt{9-8x} =-15

Divide both sides by -1:

\sqrt{9-8x} =15

Square both sides:

9-8x=255

Subtract 9 by both sides:

-8x=216

Divide both sides by -8:

x=-27

That means that either a or b is correct and since 9/8 is positive that means it needs to bee less than 9/8 so the correct answer is B

5 0
3 years ago
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