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eduard
3 years ago
15

Which of the following is not a factor of 4x^3+12x^2-72x? a.(x+9) b.(x-3) c.4x d.(x+6

Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
7 0

Answer:

x+9

Step-by-step explanation:

4x³+12x²-72x

=4x(x²+3x-18)

=4x[x²+6x-3x-18]

=4x[x(x+6)-3(x+6)]

=4x(x+6)(x-3)

guapka [62]3 years ago
5 0
The correct answer is x+9
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Write the equation of the line with the following characteristics.
Alika [10]

Answer:

y = 7x

y = 2x -3

y = 3

x = -2

Step-by-step explanation:

  • <em>Slope-intercept form: y= mx+b</em>
  • <em>Parallel lines have same slope</em>

a)Parallel to y=7x+2 through the point (0,0)

<u> This line will have a form:</u>

  • y= 7x + b

<u>Considering the given point of (0,0), to find the value of b:</u>

  • 0= 7*0+b ⇒ b =0

<u>The line is: </u>

  • y = 7x

b)Slope of 2 through the point (0,−3)

<u> Solving as above:</u>

  • y= 2x + b
  • -3 = 2*0 + b ⇒ b = -3
  • y = 2x -3

c)A horizontal line through the point (0,3)

<u> A horizontal line will have constant value for y for any value of x:</u>

  • y = 3

d)A vertical line through the point (−2,0)

<u>A vertical line will have constant value of x for any value of y:</u>

  • x= -2
5 0
3 years ago
Rewrite the form In exponential form:<br> Log100 = x
andrey2020 [161]

Answer:

10^x=100

Step-by-step explanation:

You know how subtraction is the <em>opposite of addition </em>and division is the <em>opposite of multiplication</em>? A logarithm is the <em>opposite of an exponent</em>. You know how you can rewrite the equation 3 + 2 = 5 as 5 - 3 = 2, or the equation 3 × 2 = 6 as 6 ÷ 3 = 2? This is really useful when one of those numbers on the left is unknown. 3 + _ = 8 can be rewritten as 8 - 3 = _, 4 × _ = 12 can be rewritten as 12 ÷ 4 = _. We get all our knowns on one side and our unknown by itself on the other, and the rest is computation.

We know that 3^2=9; as a logarithm, the <em>exponent</em> gets moved to its own side of the equation, and we write the equation like this: \log_3{9}=2, which you read as "the logarithm base 3 of 9 is 2." You could also read it as "the power you need to raise 3 to to get 9 is 2."

One historical quirk: because we use the decimal system, it's assumed that an expression like \log1000 uses <em>base 10</em>, and you'd interpret it as "What power do I raise 10 to to get 1000?"

The expression \log100=x means "the power you need to raise 10 to to get 100 is x," or, rearranging: "10 to the x is equal to 100," which in symbols is 10^x=100.

(If we wanted to, we could also solve this: 10^2=100, so \log100=2)

6 0
3 years ago
(<br> 1<br> +<br> 3<br> )<br> 2<br> −<br> 10<br> ÷<br> 2<br> =
Burka [1]

Answer:

3

Step-by-step explanation:

1+3 equals 4, 4 times 2 is 8, 8-10 is -2, -2 divided by 2 is 3

3 0
3 years ago
Read 2 more answers
Determine if y varies directly with x. Give the constant of variation, when appropriate. (picture below)
maxonik [38]

Based on the given variation, y does not vary directly with x and the constant of variation are 8, 3.2 and 1.25 respectively.

<h3>Variation</h3>

y = k × x

where,

k = constant of proportionality

y = -40

x = -5

y = k × x

-40 = k × -5

-40 = -5k

k = -40/-5

k = 8

when,

y = 8 and x = 2.5

y = k × x

8 = k × 2.5

8 = 2.5k

k = 8/2.5

k = 3.2

when,

y = 5 and x = 4

y = k × x

5 = k × 4

5 = 4k

k = 5/4

k = 1.25

Learn more about variation:

brainly.com/question/6499629

#SPJ1

5 0
2 years ago
Write 0.0000002711 in scientific notation. (Use 2 numbers after the decimal point.)
Anestetic [448]

Answer: 2711×10^-10

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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