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2 years ago

11

Jake rewrites the expression 81x2 – 1 as a difference of squares so he can factor it. Which answer choice shows how Jake could r

ewrite the expression?

1 answer:

patriot [66]2 years ago

3 0

Letter B
Different of 2 squares
(9x-1)(9x+1)

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A prince picked a basketful of golden apples in the enchanted orchard. On his way home, he was stopped by a troll who guarded. T

Lelu [443]

Answer:

Let x = total number of apples picked by the prince

x=44

Step-by-step explanation:

1st troll payment

x-(0.5x+2)

x-0.5x-2

0.5x-2 (that is the amount of apples left after 1st troll payment)

2nd troll payment

(0.5x-2)-(0.5(0.5x-2)+2)

Simplifying,

(0.5x-2)-(0.25x-1+2)

(0.5x-2)-(0.25x+1)

0.5x-2-0.25x-1

0.25x-3 (apples remaining after 2nd troll payment)

3rd troll payment

(0.25x-3)-(0.5(0.25x-3)+2)=2

(0.25x-3)-(0.125x-1.5+2)=2

(0.25x-3)-(0.125x+0.5)=2

0.25x-3- 0.125x-0.5=2

0.125x-3.5=2

0.125x =2+3.5

0.125x=5.5

x=5.5/0.125 (divide both sides by 0.125)

=44 apples

Therefore total number of apples picked by the prince, x=44

3 0

3 years ago

Read 2 more answers

Which of the following is an extraneous solution of the square root of -3x-2=x+2

yarga [219]

Answer:

x=-6 is an extraneous solution

Step-by-step explanation:

we have

$\sqrt{-3x-2} =x+2$

squared both sides

$-3x-2=(x+2)^2$

$-3x-2=x^2+4x+4$

$x^2+7x+6=0$

solve the quadratic equation by graphing

The solution is x=-6 and x=-1

see the attached figure

<u><em>Verify each solution</em></u>

substitute the value of x in the original expression

For x=-6

$\sqrt{-3(-6)-2} =-6+2$

$\sqrt{16} =-4$

$4=-4$ ----> is not true

so

Is an extraneous solution

For x=-1

$\sqrt{-3(-1)-2} =-1+2$

$\sqrt{1} =1$

$1=1$ ----> is true

so

Is the solution

4 0

2 years ago

Someone please help me!! I'll give brainliest

MariettaO [177]

Answer:

sorry to answer late but..

Step-by-step explanation:

$\frac{1}{75} cm$ = $\frac{scale }{real}$

the wings of the real plane are 12 meters or 1200 cm

we want to solve for the scale, sooo do the algebra...get scale by it self..

real * $\frac{1}{75}$ = scale

1200 * $\frac{1}{75}$ = 16

The scale model wings are 16 cm 2.54 cm is one inch so the wings are approx. 6.3 inches

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2 years ago

On a coordinate plane, points (1, 3), (5, 9), and (7, 12) are plotted. Which of the following statements are true about this gra

Natasha_Volkova [10]

Answer:

its 2,4,6 - b,d,f

Step-by-step explanation:

The three points form a straight line.

The graph does not pass through the origin.

The graph does not a show a proportional relationship.

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2 years ago

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What does subsequent mean

Olenka [21]

Subsequent means following (in time, order or place f.e.)

6 0

2 years ago