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3 years ago

Hi!! Please help me! Need answers with explanation! 15 points!

Mathematics

2 answers:

timama [110]3 years ago

6 0

Answer:

1/5 x (5m - 3) or 0.2 (5m -3)

Step-by-step explanation:

1. We convert 1 2/5 to 7/5 = 7/5m - 3/5 x (2/3 m + 1)

2. factor out 1/5 from the expression = 1/5 x (7m - 3(2/3m + 1))

3. Distribute -3 through the parentheses = 1/5 x (7m - 2m -3)

4. Collect like terms = 1/5 x (5m - 3)

olganol [36]3 years ago

4 0

Answer:

1. Simplify the expression.

29m - 15

_______

2. 11 (5x + y)

________

Step-by-step explanation:

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2 years ago

Solve this equation -3(6 + 6b) + 4 = -104

yulyashka [42]

Answer:

b = 5.

Step-by-step explanation:

-3(6 + 6b) + 4 = -104

-18 - 18b + 4 = -104

-18b = -104 + 18 - 4

-18b = -90

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5 0

3 years ago

G(x) = -2x^3 – 15x^2 + 36x

shusha [124]

Consider the function $G(x) = -2x^3 - 15x^2 + 36x.$ First, factor it:

$G(x) = -2x^3 - 15x^2 + 36x=-x(2x^2+15x-36)=\\ \\=-x\cdot 2\cdot \left(x-\dfrac{-15-\sqrt{513}}{4}\right)\cdot \left(x-\dfrac{-15+\sqrt{513}}{4}\right).$

The x-intercepts are at points $\left(\dfrac{-15-\sqrt{513} }{4},0\right),\ (0,0),\ \left(\dfrac{-15+\sqrt{513} }{4},0\right).$

1. From the attached graph you can see that

function is positive for $x\in \left(-\infrty, \dfrac{-15-\sqrt{513} }{4}\right)\cup \left(0,\dfrac{-15+\sqrt{513} }{4}\right);$
function is negative for $x\in \left(\dfrac{-15-\sqrt{513} }{4},0\right)\cup \left(\dfrac{-15+\sqrt{513} }{4},\infty\right).$