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3 years ago

I really need help Please thank you

Mathematics

1 answer:

natulia [17]3 years ago

4 0

Answer:

Step-by-step explanation:

the median is 85, the mean is 85, the mode is 80.

it can't be A, B, or C. so it must be D.

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Is (-4, 2) a solution of 4x + 5y < -7?

cupoosta [38]

Answer:

Step-by-step explanation:

Substitute the coordinates of the point into the left side of the inequality, evaluate and compare.

4(- 4) + 5(2) = - 16 + 10 = - 6 > - 7

Thus (- 4, 2 ) is not a solution

4 0

3 years ago

What is the solution of x=2+ square root x-2?

alex41 [277]

So I'm going to assume that this question is asking for non extraneous solutions, or solutions that are found in the equation and are valid solutions when plugged back into the equation. So firstly, subtract 2 on both sides of the equation:

$x-2=\sqrt{x-2}$

Next, square both sides:

$(x-2)^2=x-2\\(x-2)(x-2)=x-2\\x^2-4x+4=x-2$

Next, subtract x and add 2 to both sides of the equation:

$x^2-5x+6=0$

Now we are going to be factoring by grouping to find the solution(s). Firstly, what two terms have a product of 6x^2 and a sum of -5x? That would be -3x and -2x. Replace -5x with -2x - 3x:

$x^2-2x-3x+6=0$

Next, factor x^2 - 2x and -3x + 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

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

Now you can rewrite the equation as $(x-3)(x-2)=0$

Now, apply the Zero Product Property and solve for x as such:

$x-3=0\\x=3\\\\x-2=0\\x=2$

Now, it may appear that the answer is C, however we need to plug the numbers back into the original equation to see if they are true as such:

$2=2+\sqrt{2-2}\\2=2+\sqrt{0}\\2=2+0\\2=2\ \textsf{true}\\\\3=2+\sqrt{3-2}\\3=2+\sqrt{1}\\3=2+1\\3=3\ \textsf{true}$

Since both solutions hold true when x = 2 and x = 3, your answer is C. x = 2 or x = 3.

8 0

3 years ago

Can someone solve this?

noname [10]

Answer:

$\frac{5}{6}$ , $\frac{5}{6}$ , and "Yes"

Step-by-step explanation:

We will do as the instructions say.

-> See attached.

5 0

2 years ago

1/2 of 2/3 = 1/2 of ____ third(s) =____third(s)

adoni [48]

I'll write the equation again with the blanks filled in.

1/2 of 2/3 = 1/2 of two thirds = one third

2/3 is read as two thirds.

Half of 2/3 is 1/3, because 1/3+1/3=2/3

Hope this helps!

6 0

3 years ago

What is the surface area of the figure below in square meters?

valina [46]

Answer:

40 m²

Step-by-step explanation:

square area = 4x4 = 16 m²

4 triangles area = 4x3x0.5x4 = 24 m²

16 + 24 = 40 m²

4 0

3 years ago

Read 2 more answers

I really need help Please thank you​

I really need help Please thank you