3 years ago

What are the solutions to the system of equations graphed

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

5 0

Answer:

The point of intersection between the 2 graphs.

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If g(x)= x=2 and h(x) = 4 - x, what is the value of (995)(-3)?

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3 years ago

Identify the solution set of 3 In 4 = 2 In x. -{6} -{-8,8} -(8)

o-na [289]

Option C: The solution set is $\{8\}$

Explanation:

The expression is $3 \ln 4=2 \ln x$

Now, let us find the solution set.

Switch sides, we get,

$2 \ln x=3 \ln 4$

Dividing by 2 on both sides, we have,

$\ln x=\frac{3 \ln 4}{2}$

Thus, $\ln 4=\ln 2^2=2\ln 2$

Hence, the above expression becomes,

$\ln x=\frac{3 \cdot 2 \ln (2)}{2}$

Simplifying, we get,

$\ln x=3 \ln 2$

Applying the log rule, we get,

$$\ln x$=\ln \left(2^{3}\right)$

Simplifying, we have,

$$\ln x$=\ln \left8\right$

Applying the log rule, we have,

$x=8$

Thus, the solution set is $\{8\}$

Hence, Option C is the correct answer.

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3 years ago

On the function machine shown below, the function rule is given as a variable expression. When the output is 99, what is the inp

beks73 [17]

Answer: option d.

Step-by-step explanation:

We have the function:

y = f(x) = x^2 - 1

The output is 99 when y = 99, and the input is x.

Then we need to solve:

y = 99 = x^2 - 1

for x.

99 = x^2 - 1

99 + 1 =x^2

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The correct option is d, input equals 10.

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The answer would be A-72cm^2

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