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3 years ago

If s(x) = x - 7 and t(x) = 4x2 – x + 3, which expression is equivalent to to (t•s )(x)?

Mathematics

1 answer:

serg [7]3 years ago

7 0

Answer:

(t•s )(x) = 4x^3 - 29x^2 + 10x - 21

Step-by-step explanation:

(t•s )(x) is the product of functions s and t:

(t•s )(x) = ( 4x^2 - x + 3)(x - 7). Applying the Distributive Property of Multiplication, we get:

(t•s )(x) = 4x^3 - 28x^2 - x^2 + 7x + 3x - 21

which needs to be simplified by combining like terms:

(t•s )(x) = 4x^3 - 29x^2 + 10x - 21

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3 years ago

2n-7/3 = 15 solve for n

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3 years ago

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3 years ago

4. Sam's parents are teachers who commute 45 miles roundtrip to work 5 2 days a week. His parents spend $38 on gasoline each wee

Marat540 [252]

<h2>Answer:</h2><h2>The correct option is d. (i) and (ii)</h2>

Step-by-step explanation:

The total miles covered per day = 45

No of commuting days in a week = 5

Total miles in a week = 45 * 5 = 225

The total amount spent on gasoline = $ 38

Cost of gasoline per gallon = $ 2.48

The number of gallons consumed per week = $\frac{38}{2.48}$ = 15.32 gallons of gasoline per week.

This confirms (ii) statement

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This confirms (i) statement

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3 years ago

Find the midpoint of the line segment with the given endpoints. (-10, 5), (-9, -9)

Mkey [24]

Answer:

$=\left(-\frac{19}{2},\:-2\right)$

Step-by-step explanation:

$\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-10,\:5\right),\:\\\left(x_2,\:y_2\right)=\left(-9,\:-9\right)\\\\=\left(\frac{-9-10}{2},\:\frac{-9+5}{2}\right)\\\\Simplify \\=\left(-\frac{19}{2},\:-2\right)$

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3 years ago