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marissa [1.9K]
3 years ago
13

What is the value of the expression below when simplified? 4[5(3 − 1)]2 − 23

Mathematics
2 answers:
Setler [38]3 years ago
7 0
Simplify the expression.
57
Hope this helps! :)
Happy New Year!
DerKrebs [107]3 years ago
5 0
4[5(3-1)]2-23= 4[5 x 4]2 -23= 4[20]2 -23= 160-23= 137
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Determine how many zeros, how many real or complex, and find the roots for f(x) = x3 − 5x2 − 25x + 125.
miskamm [114]
We can write this as:-

P(x) = + x^3 - 5x^2 - 25x + 125
There are 2 changes of real sign so by Descartes Rule of  signs there are either 2  positive real roots or 0 positive roots.

P(-x)  = - x^3 - 5x^2 + 25x + 125 
There is just one change of sign  so  there is exactly 1 real negative root.

125 is a multiple of 5 so By rational root theorem  5 could be  a positive root.

P(5) =  125 - 125 - 125 + 125  = 0   so one zero is  5
if we divide   the polynomial by (x - 5) we get the quadratic
x^2 - 25 
(x + 5)(x - 5) = 0

x = 5,-5

so the roots are 5 (multiplicity 2)  and -5.
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6 0
3 years ago
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The midsegment of a trapezoid is always parallel to each base true or false
Deffense [45]

Answer:

True

Step-by-step explanation:

we know that

The <u><em>Trapezoid Mid-segment Theorem</em></u> states that : A line connecting the midpoints of the two legs of a trapezoid is parallel to the bases, and its length is equal to half the sum of lengths of the bases

see the attached figure to better understand the problem

EF is the mid-segment of trapezoid

EF is parallel to AB and is parallel to CD

EF=(AB+CD)/2

so

The mid-segment of a trapezoid is always parallel to each base

therefore

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8 0
3 years ago
Angle JKL is a right angle. The measure of the angle JKM is 65. The measure of angle MKL is x . What is the value of x?
Archy [21]

Answer:

25

Step-by-step explanation:

angle JKM and Angle MKL are supplementary. means, they add to 90degree. So to fing the missing one, just do 90 - 65. you'll get 25.

4 0
4 years ago
Solve the system of equations using substitution method<br>x=y+2<br>x+2y=5<br>PLEASE HELP!!​
nlexa [21]

Answer:

x=1

y=-1

Step-by-step explanation:

x = y+2

x+2y = 5

y+2 +2y = 5

3y +2 = 5

3y = 3

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x=-1

6 0
3 years ago
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