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katovenus [111]

3 years ago

8

Without actually writing the formula, explain how to expand (x + 3)7 using the binomial theorem.

2 answers:

Lyrx [107]3 years ago

4 0

To write the coefficients of the 8 terms, either start with a combination of 7 things taken 0 at a time and continue to 7 things taken 7 at a time or use the 7th row of Pascal’s triangle.

For the first term, write x to the 7th power and 3 to the 0 power. Then decrease the power on x and increase the power on y until you reach x to the 0 and y to the 7.

Simplify by evaluating the coefficients and powers 3

Step-by-step explanation:

svp [43]3 years ago

4 0

Answer:

To write the coefficients of the 8 terms, either start with a combination of 7 things taken 0 at a time and continue to 7 things taken 7 at a time or use the 7th row of Pascal’s triangle. For the first term, write x to the 7th power and 3 to the 0 power. Then decrease the power on x and increase the power on y until you reach x to the 0 and y to the 7. simplify by evaluating the coefficients and powers 3

Step-by-step explanation:

got it right on assignment.

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Help me please by solving and showing the steps:)

Lorico [155]

Answer:

$-\frac{3\sqrt[3]{t} }{2}$

Step-by-step explanation:

1: Write g(t) as y, resulting in $y=-\frac{8}{27}t^3$

2: Interchange the variables y and t, resulting in $t=-\frac{8}{27}y^3$

3: Multiply both sides by 27, resulting in $27t=-8y^3$

4: Divide both sides by -8, resulting in $-\frac{27t}{8}=y^3$

5: Find the cube root of both sides, resulting in $\sqrt[3]{-\frac{27t}{8} }=y$

6: Apply a radical rule, resulting in $-\sqrt[3]{\frac{27t}{8} } =y$

7: Apply another radical rule, resulting in $-\frac{\sqrt[3]{27t} }{\sqrt[3]{8} } =y$

8: Simplify the denominator, resulting in $-\frac{\sqrt[3]{27t} }{2} =y$

9: Apply yet another radical rule, resulting in $-\frac{\sqrt[3]{27}\sqrt[3]{t} }{2} =y$

10: Simplify $\sqrt[3]{27}$ , resulting in $-\frac{3\sqrt[3]{t} }{2} =y$

3 0

2 years ago

In the right triangle shown, A= 30° and AB = 8.

zloy xaker [14]

Answer:

$BC=4\ units$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

$sin(30^o)=\frac{BC}{AB}$ ----> by SOH (opposite side divided by the hypotenuse)

we have

$AB=8\ units\\\\sin(30^o)=\frac{1}{2}$

solve for BC

$BC=sin(30^o)(AB)$

substitute the values

$BC=(\frac{1}{2})(8)$

$BC=4\ units$

4 0

2 years ago

What is 12 percent of 120?

love history [14]

12% of 120 is 14.4

Change the percentage into a decimal by dividing over 100:

12 / 100 = 0.12

Multiply:

0.12 × 120 = 14.4

5 0

3 years ago

Tems11 [23]

Answer:

Picture below answers your question.

7 0

2 years ago

Factorize the following expression ab-a-b+1

dolphi86 [110]

Group 'em together

a b − a + 1 − b

a b − a = a ( b − 1 )

Notice that there will be a 1 as without it it'll simply be ab

1 − b = 1 ( 1 − b )

Notice that it doesn't match with the upper one... so we'll change the signs

1 ( 1 − b ) = − 1 ( b− 1 )

(try to multiply them now!!

Jot them down in one expression

a ( b − 1 ) − 1 ( b − 1 )

You get!!!!!!

( a − 1 ) ( b − 1 )

5 0

3 years ago