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luda_lava [24]
2 years ago
5

Help me plz it’s due tomorrow T-T

Mathematics
1 answer:
11111nata11111 [884]2 years ago
8 0

Answer:

1. 1,500

2. 1,100

3. 3,000

Step-by-step explanation:

1. 3*500=1500

2. 1500-400=1100

3. 2*5=10

10*300=3000

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What is the value of m, if the equation my2+2y−4=0 has exactly one root?
stich3 [128]

Answer:

m=\frac{-1}{4}

Step-by-step explanation:

A quadratic equation has one root if the discriminant is 0.

That is we need b^2-4ac=0 for this particular question.

Compare the following to find a,b, \text{ and } c:

ax^2+bx+c=0

my^2+2y-4=0

The variable x is representative of the variable y here.

a=m

b=2

c=-4

Plug in into b^2-4ac=0:

(2)^2-4(m)(-4)=0

4+16m=0

Subtract 4 on both sides:

16m=-4

Divide both sides by 16:

m=\frac{-4}{16}

Reduce:

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6 0
3 years ago
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Solve the following logarithmic equations.<br> ln(x^6) = 36
Hoochie [10]

Answer:

The solution is x = e⁶

Step-by-step explanation:

Hi there!

First, let´s write the equation

ln(x⁶) = 36

Apply logarithm property: ln(xᵃ) = a ln(x)

6 ln(x) = 36

Divide both sides of the equation by 6

ln(x) = 6

Apply e to both sides

e^(ln(x)) = e⁶

x = e⁶

The solution is x = e⁶

Let´s prove why e^(ln(x)) = x

Let´s consider this function:

y = e^(ln(x))

Apply ln to both sides of the equation

ln(y) = ln(e^(ln(x)))

Apply logarithm property: ln(xᵃ) = a ln(x)

ln(y) = ln(x) · ln(e)         (ln(e) = 1)

ln(y) = ln(x)

Apply logarithm equality rule: if ln(a) = ln(b) then, a = b

y = x

Since y = e^(ln(x)), then x =e^(ln(x))

Have a nice day!

8 0
3 years ago
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Crazy boy [7]

Answer:

Step-by-step explanation:

8 0
4 years ago
If AJKL: ABCA, which statement must be true?
Oksana_A [137]

Answer:CACA

CACA

Step-by-step explanation:

(im not sure if there is a picture of the question but i cant see it)

8 0
3 years ago
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Yuri [45]

Answer:

\frac{11}{2} or 5.5

Step-by-step explanation:

In order to find the slope of a line using two points on a graph, you must use

y_2-y_1/x_2-x_1

Pluging in the points (-4,7) and (-6, -4) to the formula you will get:

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The equation for the line would be \frac{11}{2}x+29

6 0
4 years ago
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