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morpeh [17]
4 years ago
13

32. Factor the following Quadratic: x2 + 4x - 12

Mathematics
1 answer:
Juliette [100K]4 years ago
3 0

Answer:

(x-2)(x+6)

Step-by-step explanation:

Use the method ac sum of b

Ac is -12

b is 4

find factors that multiply to -12 and add to -4

put x in front of the two factors so that you get the answer specified

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Solar panel generates 3/5 of kilowatts of power a warehouse wants to generate 24 kilowatts of power write an expression to find
Anuta_ua [19.1K]

Answer:

The warehouse will need 40 solar panels

Step-by-step explanation:

3/5 kilowatts is generated by 1 solar panel

24 kilowatts will be generated by ?

24 ÷ 3/5 = (24×5)/3 = 120/3 = 40 solar panels.

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4 times x with an exponent of 2 plus 2 times y with an exponent of 4. X=-3 y=2
Digiron [165]

Answer:

Step-by-step explanation:

Your equation is: 4*x^{2} +2 * y^{4}

You also know that x = -3 and y = 2. You can rewrite the equation by substituting x and y with their actual values:

4*(-3)^{2} +2 * 2^{4}

First, you want to do the exponentiation (meaning you want to calculate (-3)^{2} and 2^{4} parts). (-3)^{2} equals 9 and 2^{4} equals 16.

So the equation now is:

4*9+2*16

Now you want to do multiplication. 4*9 equals 36 and 2*16 equals 32. So you're left with:

36+32

Which equals 68.

8 0
3 years ago
At a certain college the ratio of men to women is 6 to 5. If there are 3520 total students how many men are there.
notsponge [240]

Answer:

1920 men are there in college.

Step-by-step explanation:

Given the statement: At a certain college, the ratio of men to women is 6 to 5. If there are 3520 total students.

Ratio states that it is just a comparison between, or a relating of, two different things.

i.e a to b or a: b

Ratio of men to women:

Men : Women = 6: 5

Let x be the number.

Total number of Men in college = 6x and Total number of women = 5x

Since, total number of students = 3520

⇒6x + 5x = 3520

Combine like terms;

11x = 3520

Divide by 11 on both sides we get;

x = 320

Therefore, total number of men in college = 6x = 6(320) = 1920


4 0
3 years ago
Solve the logarithmic equation. Round the answers to the nearest hundredth. 6+In x=8
ahrayia [7]

Answer:

7.39 ( nearest hundredth )

Step-by-step explanation:

Using the rule of logarithms

log_{b} = n ⇔ x = b^{n}

Note that ln x represents log_{e} x

given 6 + ln x = 8 ( subtract 6 from both sides )

ln x = 2 ⇒ x = e^{2} ≈ 7.39


7 0
3 years ago
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