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AnnyKZ [126]
3 years ago
8

Examples of a TRUE biconditional statement, please.

Mathematics
1 answer:
andrey2020 [161]3 years ago
7 0

Answer: two angles have the same measure if only and only if they are congruent

explanation:

A true biconditional statement is true both "forward" and backward". All definitions can be written as true biconditional statements.

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Factor completely 15x^5 + 12x^4-24x^3-3x^2
diamong [38]

Answer:

3x^2 (5x^3 + 4x^2 - 8x - 1)

Step-by-step explanation:

The given expression is 15x^5 + 12x^4-24x^3-3x^2

Here we have to find the GCF of all the above terms.

The GCF is 3x^2, let's take out 3x^2 and write the remaining terms in the parenthesis.

15x^5 + 12x^4-24x^3-3x^2

=3x^2 (5x^3 + 4x^2 - 8x - 1)

Therefore, the factors are 3x^2 and (5x^3 + 4x^2 -8x -1).

15x^5 + 12x^4-24x^3-3x^2 = 3x^2 (5x^3 + 4x^2 -8x -1)

Thank you.

7 0
3 years ago
The function f(x)=70n -400 models the profit of the instructor of a guitar class per month, where n is the number of students en
suter [353]
Given:
f(x) = 70n - 400   : equation for monthly profit.
n = number of students enrolled in the guitar class.

70 refers to the amount charged per student.
400 is the fixed expense made by the instructor.

For the instructor to have a profit, the product of 70n must be more than 400.

400/70 = 5.7 or 6

There must be at least 6 students enrolled in class for the instructor to generate profit.

f(x) = 70(6) - 400 = 420 - 400 = 20

1000 = 70n - 400
1000 + 400 = 70n
1400 = 70n
1400/70 = n
20 = n

There must be 20 students enrolled in class for the instructor to earn 1000 in profit.

1000 = 70(20) - 400
1000 = 1400 - 400
1000 = 1000

3 0
3 years ago
Simplify<br> 7^8x7^3x7^4/7^9x7^5
KiRa [710]

Please take a photo of this problem... it looks very hard when it is written in the way you did.

<h3>If I am reading this correctly the answer should be 1,977,326,743x^3</h3>

6 0
3 years ago
Read 2 more answers
Please help! Need help asap!
Sedbober [7]

Answer:

A

Step-by-step explanation:

The two angles in the triangle in the question are 58 degrees and 54 degrees.

Three angles in a triangle add up to 180 degrees

58 + 54 + x = 180

112 + x = 180

subtract 112 on both sides

x = 180 - 112 = 68 degrees

Only option A has a triangle that has the same angles, thus triangles are similar.

please give thanks by clicking heart button! :)

6 0
3 years ago
If the graph of the following parabola is shifted two units left and three units down, what is the resulting equation?
mafiozo [28]

Answer:

x=-8\left(y+3\right)^2-2

Step-by-step explanation:

Because the x and y have been reversed in this equation, shifting the parabola to the left will be outside of the exponent and shifting up and down will be inside with the exponent.

The equation becomes x=-8\left(y+3\right)^2-2.

Where subtracting by 2 moves it two units to the left and adding by 3 moves it 3 units down.

7 0
3 years ago
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