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3 years ago

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Evaluate ƒ(–3) for ƒ(x) = –5x2 + 2x –1.

1 answer:

Kisachek [45]3 years ago

6 0

<span>Evaluate ƒ(–3) for ƒ(x) = –5x2 + 2x –1.
</span>ƒ(x) = –5x2 + 2x –1
First, Substitute x by -3 in the formula of the function and calculate as follows.
ƒ(-3) = –5x2 + 2x –1
Apply the Order of Operations.
ƒ(-3) = –5(-3)^2 + 2(-3) –1
Simplify
ƒ(-3) = –5(9) + 2(-3) –1
ƒ(-3) = –45 -6 –1
ƒ(-3) = -52

Therefore, The function of ƒ(–3) for ƒ(x) = –5x2 + 2x –1 is -52

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Part a: Option c: $3x+90+x-14=180$

Part b: The value of x is 26

Explanation:

Part a:

Option a: $3x+x-14=180$

Since, adding all the angles in the straight line results in 180°, and only two of the three angles were added in the equation to find the value of x.

Thus, the equation $3x+x-14=180$ cannot be used to determine the value of x.

Hence, Option a is not the correct answer.

Option b: $3x+90+x-14=90$

Adding all the angles in the straight line results in 180°.

Thus, adding all the angles does not equals to 90°

Hence, the equation $3x+90+x-14=90$ cannot be used to determine the value of x.

Hence, option b is not the correct answer.

Option c: $3x+90+x-14=180$

Since, the straight line is 180° and thus adding the angles in this straight line will result in 180°

Thus, the angles in this straight line are 3x, 90° and x-14.

Hence, adding these angles will result in 180°

Thus, the equation becomes

$3x+90+x-14=180$

Hence, the equation used to determine the value of x is $3x+90+x-14=180$

Thus, Option c is the correct answer.

Option d: $4x+90=360$

Adding all the angles in the straight line results in 180°.

Since, not all the three angles were added in this equation and the equation equals to 180°

Hence, the equation $4x+90=360$ cannot be used to determine the value of x.

Thus, Option d is not the correct answer.

Part b:

To determine the value of x, we shall add all the angles of the equation $3x+90+x-14=180$

Thus, we get,

$4x+76=180$

Subtracting both sides by 76,

$4x=104$

Dividing both sides by 4, we get,

$x=26$

Thus, the value of x is 26.

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