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swat32
4 years ago
10

If s(x) = 2 – x2 and t(x) = 3x, which value is equivalent to (sxt)(-7)?

Mathematics
2 answers:
dimaraw [331]4 years ago
6 0
(s o t)(-7) = s(t(-7)) = s(3(-7)) = s(-21) = 2 - (-21)^2 = 2 - 441 = -439
dybincka [34]4 years ago
6 0

Step-by-step explanation:

s(x)= 2-x^2

t(x)= 3x

To find (sot)(-7)= s(t(-7))

First we find t(-7) and then we plug it in s(x)

t(x)= 3x, plug in -7 for x

t(-7)= 3(-7)=-21

(sot)(-7)= s(t(-7))=s(-21), plug in -21 for x in s(x)

s(-21)= 2-(-21)^=-439

(sot)(-7)= s(t(-7))=-439

If we are given with (s times t)(-7) we multiply it

(s \cdot t)(-7)= s(-7) \cdot t(-7)

t(-7) is -21

s(-7)= 2-(-7)^2= -47

(s \cdot t)(-7)= s(-7) \cdot t(-7)=-21 \cdot (-47)=987

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Question:

The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both decreased by 2, the fraction is now equal to  \frac{1}{2}.

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