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3 years ago

Paul was asked to use the elmination to find the solution to the system of linear equations

Mathematics

1 answer:

Georgia [21]3 years ago

3 0

Answer:9y-10y+1=-26

Step-by-step explanation:

Combine like terms and then keep your process going from there

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Find the following limit or state that it does not exist. ModifyingBelow lim With x right arrow minus 2 StartFraction 3 (2 x min

leva [86]

Answer:

-60

Step-by-step explanation:

The objective is to state whether or not the following limit exists

$\lim_{x \to -2} \frac{3(2x-1)^2 - 75}{x+2}$ .

First, we simplify the expression in the numerator of the fraction.

$3(2x-1)^2 -75 = 3(4x^2 - 4x +1) -75 = 12x^2 - 12x + 3 - 75 = 12x^2 - 12x -72$

Now, we obtain

$12(x^2-x-6) = 12(x+2)(x-3)$

and the fraction is transformed into

$\frac{3(2x-1)^2 - 75}{x+2} = \frac{12(x+2)(x-3)}{x+2} = 12 (x-3)$

Therefore, the following limit is

$\lim_{x \to -2} \frac{3(2x-1)^2 - 75}{x+2} = \lim_{x \to -2} 12(x-3) = 12 \lim_{x \to -2} (x-3)$

You can plug in $-2$ in the equation, hence

$12 \lim_{x \to -2} (x-3) = 12 (-2-3) = -60$

6 0

3 years ago

Find the measure of the missing side. Round your answer to the nearest tenth. (PYTHAGOREAN THEOREM)

Burka [1]

Answer:

Rounded to the nearest tenth, the length of the missing side is 5.4 in.

Step-by-step explanation:

According to the Pythagorean theorem, $a^{2}+b^{2}=c^{2}$ , where c is the length of the hypotenuse (the longest side), a and b are the lengths of the other two sides. We can use this to solve for the length of the hypotenuse of the right triangle shown in your question (the missing side):

$2^{2}+5^{2}=c^{2}$

This simplifies to $29=c^{2}$ . Now to solve for c (the length of the hypotenuse), we just take the square root of both sides of the equation and solve like so:

$\sqrt{29} =\sqrt{c^{2}}$

This simplifies to c≈5.4 in.

7 0

3 years ago

Working alone and at a constant rate, Machine A takes 3 hours to create a widget. Machine B, working alone and at a constant rat

PilotLPTM [1.2K]

Answer:

Time required by Machine B to create a widget = 4 hours

Step-by-step explanation:

Time taken by Machine A ( $T_{A}$ ) = 3 hours

Time taken by Machine B ( $T_{B}$ )= x hours

Time taken by both machines by working together = 12 hours

The time required to both machines by working together to finish a task is given by the formula = $\frac{T_{A} {T_{B} } }{T_{A} + T_{B} }$

Put the values in above formula we get

⇒ T = $\frac{3 x}{3 + x}$

⇒ 12 = $\frac{3 x}{3 + x}$

⇒ 36 + 12 x = 3 x

⇒ x = - 4 hours

This is the time required by Machine B to create a widget.

8 0

3 years ago

What is 6.04 in simplest form

Reptile [31]

6 1/25 is the answer

6 0

3 years ago

I dont understand how to do this inequality 4x +6 <-6

Mama L [17]

4x + 6 < -6

First, subtract 6 from both sides. / Your problem should look like: 3x < -6 - 6
Second, simplify -6 - 6 to -12. / Your problem should look like: 3x < -12
Third, divide both sides by 4. / Your problem should look like: x < $-\frac{12}{4}$
Fourth, simplify $\frac{12}{4}$ to 3. / Your problem should look like: x < -3

Answer: x < -3
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5 0

3 years ago