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PilotLPTM [1.2K]

3 years ago

11

(40x + 25)^3 (64x^2 - 25)

1 answer:

salantis [7]3 years ago

8 0

Answer:

(64,000x^3+15,625)(4,096x^2-25)

Step-by-step explanation:

(40x + 25)^3 (64x^2 - 25)

= (64,000x^3+15,625)(4,096x^2-25)

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Factor each.<br><br><br> Please help!

Naddika [18.5K]

Answer:

1) The factors of $x^2-3x+2=0$ are $\mathbf{(x-1)(x-2)=0}$

Option C is correct.

3) The factors of $x^2+2x-8=0$ are $\mathbf{(x-2)(x+4)=0}$

Option B is correct.

Step-by-step explanation:

1) Factor : $x^2-3x+2=0$

For factoring we need to break the middle term, such that there sum is equal to middle term of expression and product is equal to product of first and last term.

The middle term : -3x

We can break them as (-2x)( -x)

Solving:

$x^2-3x+2=0\\x^2-2x-x+2=0\\x(x-2)-1(x-2)=0\\(x-1)(x-2)=0$

So, factors of $x^2-3x+2=0$ are $\mathbf{(x-1)(x-2)=0}$

Option C is correct.

3) Factor: $x^2+2x-8=0$

For factoring we need to break the middle term, such that there sum is equal to middle term of expression and product is equal to product of first and last term.

The middle term : 2x

We can break them as (4x)( -2x)

Solving

$x^2+2x-8=0\\x^2+4x-2x-8=0\\x(x+4)-2(x+4)=0\\(x-2)(x+4)=0$

So, factors of $x^2+2x-8=0$ are $\mathbf{(x-2)(x+4)=0}$

Option B is correct.

7 0

3 years ago

Please help!<br> 4x(5y-x)-5y(4x-y)

Andreas93 [3]

<span>4x(5y-x)-5y(4x-y)=20xy-4x^2-20yx+5y^2=-4x^2+5y^2=5y^2-4x^2</span>

8 0

3 years ago

Read 2 more answers

Which composition of similarity transformations map polygon ABCD to polygon A’B’C’D’? Help ASAP PLZZZZ

zmey [24]

The answer to this question is negative and positive

5 0

3 years ago

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Find the values of the 30th and 90th percentiles of the data. Please show your work.

MaRussiya [10]

Answer:

30th percentile:109

90th percentile: 188

Step-by-step explanation:

The given data set is:

129, 113, 200, 100, 105, 132, 100, 176, 146, 152

We arrange the data set in ascending order to obtain;

Array= $100,100,105,113,129,132,146,176,200$

The 30th percentile is located at

$(\frac{30}{100}\times 10 )}$ -th position, where n=10 is the number of items in the data set

This implies that the 30th percentile is at the 3rd position.

Since 3 is an integer, the 30th percentile is the average of the 3rd and 4th occurrence in the array;

This implies that the 30th percentile = $\frac{105+113}{2}=\frac{218}{2}=109$

The 90th percentile is located at

$(\frac{90}{100}\times 10 )}$ -th position, where n=10 is the number of items in the data set

This implies that the 90th percentile is at the 9th position.

Since 9 is an integer, the 90th percentile is the average of the 9th and 10th occurrence in the array;

This implies that the 90th percentile = $\frac{176+200}{2}=\frac{376}{2}=188$

6 0

3 years ago

George has $6.40 in nickels and dimes. If he has

VLD [36.1K]

Answer:

George has 64 nickel and 32 dimes.

Step-by-step explanation:

Normally, we have:

One nickel = 5 cents

One dime = 10 cents

One dollar = 100 cents

Therefore, total number of cents that George has can be calculated as follows:

Total number of cents = $6.40 * 100 = 640 cents

Based on the above, we have:

640 cents = 640 / 5 = 128 nickel

640 cents = 640 / 10 = 64 dimes

Therefore, we have:

128 nickel = 64 dimes

Divide through by 2 in order to share 640 cents equally, we have:

128 nickel / 2 = 64 dimes / 2 => 64 nickel = 32 dimes

Since 64 minus 32 is equal to 32, it therefore implies that George has 64 nickel and 32 dimes.

3 0

2 years ago