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2 years ago

Find the area of the shaded region.

Mathematics

1 answer:

True [87]2 years ago

6 0

Answer:

B. x^2-10

Step-by-step explanation:

Your are trying to find the shaded region

You can see that the x by x square would be "full" if not for the 2 by 5 chunk that has been taken out of it

Therefore you can find the area by subtracting the 2 by 10 "chunk" out of the total area of the x by x square

Equation:

(x*x)-(2*5)

x^2-10

The answer is B

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Erik and Caleb were trying to solve the equation: 0=(3x+2)(x-4) Erik said, "The right-hand side is factored, so I'll use the zer

Mumz [18]

Answer:

C) Both

Step-by-step explanation:

The given equation is:

$0=(3x+2)(x-4)$

To solve the given equation, we can use the Zero Product Property according to which if the product A.B = 0, then either A = 0 OR B = 0.

Using this property:

$(3x+2) = 0 \Rightarrow \bold{x = -\frac{2}{3}}\\(x-4) = 0 \Rightarrow \bold{x = 4}$

So, Erik's solution strategy would work.

Now, let us discuss about Caleb's solution strategy:

Multiply $(3x+2)(x-4)$ i.e. $3x^2-12x+2x-8$ = $3x^2-10x-8$

So, the equation becomes:

$0=3x^2-10x-8$

Comparing this equation to standard quadratic equation:

$ax^2+bx+c=0$

a = 3, b = -10, c = -8

So, this can be solved using the quadratic formula.

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{-(-10)\pm\sqrt{(-10)^2-4\times3 \times (-8)}}{2\times 3}\\x=\dfrac{-(-10)\pm\sqrt{196}}{6}\\x=\dfrac{10\pm14}{6} \\\Rightarrow x= 4, -\dfrac{2}{3}$

The answer is same from both the approaches.

So, the correct answer is:

C) Both

3 0

2 years ago

At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students from each grade level for their favorite subject, and

kogti [31]

No he did not because 20% of 250 is 50 and there are 90 students not 50 students!! Hope this helped you a lot !!!

8 0

3 years ago

Read 2 more answers

Write the simplified form of -64^1/3

GREYUIT [131]

Answer:

-4

Step-by-step explanation:

Factor by the numbers from left to right.

$64^\frac{1}{3}$

$64=4^3$

$(\frac{4}{3})^\frac{1}{3}=4^3^*^\frac{1}{3}=4$

It changes to positive to negative.

-4

-4 is the correct answer.

8 0

2 years ago

Find the mean of the set of data. Use a calculator if necessary. (Remember to put the list in numerical order.)

kompoz [17]

Answer:

9.4

Step-by-step explanation:

How to find the mean of a data set: Add each number in the set together. Then divide the sum of all of the numbers by how many numbers there are.

5 0

2 years ago

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In a valid probability distribution, each probability must be between 0 and 1

snow_lady [41]

Answer:

i think it is going to be 16

Step-by-step explanation:

5 0

3 years ago