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gogolik [260]
2 years ago
6

A mother is five times as old as her daughter. In 6 years, the mother will

Mathematics
2 answers:
Talja [164]2 years ago
8 0

x = daughter's age

so:

5x = 6 + 3x

5x - 3x = 6

2x = 6

x = 6/2

x = 3

now just do the equations to find her age

mother before 6 years: 5 x 3

mother after 6 years: 3 x (3+6)

Hopefully, this helps! If it doesn't tell me in the comments so I can explain it better!

docker41 [41]2 years ago
4 0

Answer:

Mom=30 Daughter=6

Step-by-step explanation:

M=5×D

M+6=3×D

5D=3D-6

2D=6

D=12

M=12×3=36

Now: D=12-6=6

M=36-6=30

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Answer:

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Step-by-step explanation:

ƒ(x) = x² - x – lnx

(a) Intervals in which ƒ(x) is increasing and decreasing.

Step 1. Find the zeros of the first derivative of the function

ƒ'(x) = 2x – 1 - 1/x = 0

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We reject the negative root, because the argument of lnx cannot be negative.

There is one zero at (1, 0). This is your critical point.

Step 2. Apply the first derivative test.

Test all intervals to the left and to the right of the critical value to determine if the derivative is positive or negative.

(1) x = ½

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ƒ'(x) < 0 so the function is decreasing on (0, 1).

(2) x = 2

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ƒ(x) is decreasing when x < 1 and increasing when x >1.

Thus, (1, 0) is a local minimum, and ƒ(x) = 0 when x = 1.

(c) Inflection point

(1) Set the second derivative equal to zero

ƒ''(x) = 2 + 2/x² = 0

             x² + 2 = 0

                   x² = -2

There is no inflection point.

(2). Concavity

Apply the second derivative test on either side of the extremum.

\begin{array}{lccc}\text{Test} & x < 1 & x = 1 & x > 1\\\text{Sign of f''} & + & 0 & +\\\text{Concavity} & \text{up} & &\text{up}\\\end{array}

The function is concave up on (0, ∞).

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Step-by-step explanation:

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3 years ago
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Vinvika [58]

Given:

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y=-x+4

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Solution:

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y=-x+4

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So, the y-intercept of the given equation is at point (4,0).

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GarryVolchara [31]

Answer:

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Step-by-step explanation:

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