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3 years ago

Answer True or False

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

4 0

WHAT THE OTHER PERSON SAID IS CORRECT

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G(t) = 3t + 4; Find g(−3)

Bess [88]

G(-3)= 3(-3)+4

g(-3) = -5

7 0

3 years ago

What is a solution to the equation 3 / m + 3 - M / 3 - M equals m^2 + 9 / m^2-9?

Mnenie [13.5K]

Answer: Last option.

Step-by-step explanation:

Given the equation:

$\frac{3}{m+3}-\frac{m}{3-m}=\frac{m^2+9}{m^2-9}$

Follow these steps to solve it:

- Subtract the fractions on the left side of the equation:

$\frac{3(3-m)-m(m+3)}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}\\\\\frac{9-3m-m^2-3m}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}\\\\\frac{-m^2-6m+9}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}$

- Using the Difference of squares formula ( $a^2-b^2=(a+b)(a-b)$ ) we can simplify the denominator of the right side of the equation:

$\frac{-m^2-6m+9}{(m+3)(3-m)}=\frac{m^2+9}{(m+3)(m-3)}$

- Multiply both sides of the equation by $(m+3)(3-m)$ and simplify:

$\frac{(-m^2-6m+9)(m+3)(3-m)}{(m+3)(3-m)}=\frac{(m^2+9)(m+3)(3-m)}{(m+3)(m-3)}\\\\-m^2-6m+9=\frac{(m^2+9)(3-m)}{(m-3)}$

- Multiply both sides by $m-3$ :

$(-m^2-6m+9)(m-3)=\frac{(m^2+9)(3-m)(m-3)}{(m-3)}\\\\(-m^2-6m+9)(m-3)=(m^2+9)(3-m)$

- Apply Distributive property and simplify:

$(-m^2-6m+9)(m-3)=(m^2+9)(3-m)\\\\-m^3-6m^2+9m+3m^2+18m-27=3m^2+27-m^3-9m\\\\-m^3-3m^2+27m-27+m^3-3m^2+9m-27=0\\\\-6m^2+36m-54=0$

- Divide both sides of the equation by -6:

$\frac{-6m^2+36m-54}{-6}=\frac{0}{-6}\\\\m^2-6m+9=0$

- Factor the equation and solve for "m":

$(m-3)^2=0\\\\m=3$

In order to verify it, you must substitute $m=3$ into the equation and solve it:

$\frac{3}{3+3}-\frac{3}{3-3}=\frac{3^2+9}{3^2-9}\\\\\frac{3}{6}-\frac{3}{0}=\frac{18}{0}$

<em>NO SOLUTION</em>

7 0

3 years ago

Write the following equation in standard form : 8/7x^3 + x^4 + 6x +1

Leokris [45]

Answer:

x^4 +8/7x^3 + 6x +1

Step-by-step explanation:

8/7x^3 + x^4 + 6x +1

Standard from is from the largest power to the smallest power

x^4 +8/7x^3 + 6x +1

8 0

3 years ago

The ratio of alls weight to bobs weight is 4:5, the ratio of bobs weight to lunas weight is 6:7, what is the ratio of alls weigh

Andre45 [30]

All's =a
Bob's =b
Lunar =l

A:B = 4:5 B:C = 6:7
Multiply the two ratios above by 6 and 5 respectively

A:B = 24:30 and B:L=30:35
Now that we have the B's to be the same

Alls:Lunar = 24:35

4 0

3 years ago

A paper cup is dropped and its landing position is recorded. The cup can land on the side, on the open end, or on the closed end

Strike441 [17]

prob( it lands on open end) = 8/20 = 2/5

prob ( lands on closed end) = 4/20 = 1/5

The second choice is correct.

3 0

3 years ago

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