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Dmitry [639]
2 years ago
10

A married couple had a combined annual income of 63,000. The wife made 7,000 more than her husband. What was each of their incom

es?
Mathematics
2 answers:
Eduardwww [97]2 years ago
8 0
The wife made 33,500 and he made 29,500
Alchen [17]2 years ago
4 0
The wife made 33,500 and the husband made 29,500
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Express your answer in standard form.<br> (x² - 2x + 3)(-2x² + 4x – 1)<br> Please help I'm stuck
arlik [135]
2x^4 + 8x^3 - 15x^2 + 14x - 3
i think this is the answer. hope this helpss
8 0
3 years ago
Divide 29 into two parts so that the sun of the squares of the parts is 425.Find the value of each Part.
Taya2010 [7]

Answer:

13 and 16

Step-by-step explanation:

let the 2 parts be x and y, then

x + y = 29 → (1) and

x² + y² = 425 → (2)

From (1) → x = 29 - y → (3)

substitute x = 29 - y into (2)

(29 - y)² + y² = 425 ( expand factor )

841 - 58y + y² + y² = 425 ( rearrange into standard form )

2y² - 58y + 416 = 0 ← in standard quadratic form

divide all terms by 2

y² - 29y + 208 = 0

Consider the factors of 208 which sum to - 29

These are - 13 and - 16, hence

(y - 13)(y - 16) = 0

equate each factor to zero and solve for y

y - 13 = 0 ⇒ y = 13

y - 16 = 0 ⇒ y = 16

substitute these values into (3)

x = 29 - 13 = 16 and x = 29 - 16 = 13

The 2 parts are 13 and 16


4 0
3 years ago
Read 2 more answers
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
Anni [7]

Answer: The rocket will reach its max after 4 seconds

Step-by-step explanation:

Hi, to find the maximum height, we have to set the first derivative of the equation equal to zero.

y=-16x^2+128x+136

0 = (2)-16x +128  

0= -32x+128

Solving for x:

32x = 128

x = 128/32

x = 4 seconds

The rocket will reach its max after 4 seconds

Feel free to ask for more if needed or if you did not understand something.

7 0
2 years ago
See the picture below and answer for 50 points and brainliest
Luden [163]

Answer:

Non-linear equations:

y=x^2 +2x-3

3y=2^x

Step-by-step explanation:

Linear equation: y = mx + b

Therefore, a linear equation has 2 variables that have no exponents.

So the non-linear equations are:

y=x^2 +2x-3  (this is a quadratic equation - polynomial with degree 2)

3y=2^x (this is an exponential equation)

8 0
2 years ago
Can someone help me with this? Thanks a bunch! ;)
dexar [7]

Answer:

idk, can I?

Step-by-step explanation:

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3 years ago
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