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If the value of [tex]b[/tex] is 7, then what is the value of the expression [tex]-3b^2 + 25[/tex]?

A. -122
B. 172
C. 122
D. 17


Sagot :

Sure, let's go through the steps to solve the question.

Given the expression:

[tex]\[ -3b^2 + 25 \][/tex]

We need to find its value when [tex]\( b = 7 \)[/tex].

First, substitute [tex]\( b \)[/tex] with 7 in the expression:

[tex]\[ -3(7)^2 + 25 \][/tex]

Next, calculate [tex]\( 7^2 \)[/tex]:

[tex]\[ 7 \times 7 = 49 \][/tex]

Now, substitute 49 back into the expression:

[tex]\[ -3 \times 49 + 25 \][/tex]

Next, perform the multiplication:

[tex]\[ -3 \times 49 = -147 \][/tex]

Finally, add 25 to -147:

[tex]\[ -147 + 25 = -122 \][/tex]

So, the value of the expression when [tex]\( b = 7 \)[/tex] is:

[tex]\[ -122 \][/tex]

Therefore, the best answer is:

A. -122