3 years ago

If s(x)=x-7 and t(x) =4x^2+3 which expression is equivalent to (t×s)(x)

Mathematics

1 answer:

marshall27 [118]3 years ago

8 0

Answer:

$\large\boxed{(t\times s)(x)=4x^3-28x^2+3x-21}$

Step-by-step explanation:

$s(x)=x-7\\t(x)=4x^2+3\\\\(t\times s)(x)=t(x)\times s(x)\\\\\text{Substitute:}\\\\(t\times s)(x)=(4x^2+3)(x-7)\\\\\text{use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(t\times s)(x)=(4x^2)(x)+(4x^2)(-7)+(3)(x)+(3)(-7)\\\\=4x^3-28x^2+3x-21$

You might be interested in

A store is advertising a sale with 15% off all prices in the store. Sales tax is 8%. Which equation will correctly determine the

hoa [83]

I think the answer is c beacause you have to multiply to get the answer

4 0

3 years ago

The scale factor of the dimensions of two similar wood floors is 5 : 3. It costs $144 to refinish the smaller wood floor. At t

Eva8 [605]

Answer: 240

Step-by-step explanation:

144/3 = 48

5x48= 240

6 0

3 years ago

Solve for x in the diagram.<br><br> <br><br> A. 25 B. 15 C. 14 D. 37

s344n2d4d5 [400]

The answer is 15and not the others

6 0

3 years ago

Describe the process of rewriting the expression Please Help

Mazyrski [523]

Answer:

$x^{\frac{21}{4} }$

Step-by-step explanation:

Given expression is:

$(\sqrt[8]{x^7} )^{6}$

First we will use the rule:

$\sqrt[n]{x} = x^{\frac{1}{n} }$

So for the given expression:

$\sqrt[8]{x^{7}}=(x^{7} )^{\frac{1}{8} }$

We will use tha property of multiplication on powers:

$=x^{7*\frac{1}{8} }$

$= x^{\frac{7}{8} }$

Applying the outer exponent now

$(x^{\frac{7}{8} })^6$

$= x^{\frac{7}{8}*6 } \\= x^{\frac{42}{8} }\\= x^{\frac{21}{4} }$

8 0

3 years ago

Eight and six tenths in decimal form

valentinak56 [21]

Eight and six tenths in decimal form is 8.6

7 0

3 years ago

Read 2 more answers

If s(x)=x-7 and t(x) =4x^2+3 which expression is equivalent to (t×s)(x)​

If s(x)=x-7 and t(x) =4x^2+3 which expression is equivalent to (t×s)(x)