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2 years ago

2/3x + 1/6 = -3x + 4

Mathematics

1 answer:

Brums [2.3K]2 years ago

6 0

Your answer is going to be 23/22

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If neither a nor b are equal to zero, which answer most accurately describes the product of (a + bi)(a - bi)?

Scrat [10]

Answer: the correct option is

(D) The imaginary part is zero.

Step-by-step explanation: Given that neither a nor b are equal to zero.

We are to select the correct statement that accurately describes the following product :

$P=(a+bi)(a-bi)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We will be using the following formula :

$(x+y)(x-y)=x^2-y^2.$

From product (i), we get

$P\\\\=(a+bi)(a-bi)\\\\=a^2-(bi)^2\\\\=a^2-b^2i^2\\\\=a^2-b^2\times (-1)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }i^2=-1]\\\\=a^2+b^2.$

So, there is no imaginary part in the given product.

Thus, the correct option is

(D) The imaginary part is zero.

3 0

2 years ago

The values shown represent the y-values that correspond to x-values from x = 1 through x = 5.

rjkz [21]

The answer is B because every number is adding up to 6

7 0

2 years ago

Number 2 please help

Sveta_85 [38]

Answer:

you just have to check the first and the third box

Step-by-step explanation:

put each into slop intercept form

y+6=-5(x-2) is the same as y=-5x+4

y-2=-5(x+6) is the same as y=-5x-28

y=-5x+4

y=-5x-28

all of them have a slope of -5, but you need to plug in (2,-6) to see which on is true

5 0

2 years ago

In a recent u.s.census, the population of Illinois was 12,419,293. What is this population after

ExtremeBDS [4]

12,419,293

an increase of 100,000 = 12,519,293
an increase of 1,000,000 = 13,419,293
a decrease of 10,000 = 12,409,293

7 0

2 years ago

Read 2 more answers

Read the following scenario, which is represented by a polynomial expression. Then answer the questions to interpret the parts o

Effectus [21]

Answer:

x is the number of $1 increase in the price.

If there is no increase, then the total money earned is

2 × 70 = 140

If there is $1 increase, then the total money earned is

(2 + 1) × [70 - 8(1)]

If there is $2 increase, then the total money earned is

(2 + 2) × [70 - 8(2)]

If we continue the pattern, for x times $1 increase, total money earned is

(2 + x)(70 - 8x) = -8x^{2} +54x+140−8x2+54x+140

If we substitute x = 0 in the above equation, we will get

the total money earned = $140.

It means if there is no increase, then the total money earned = 140.

Hence, 140 is the constant term and it represents that there is no increase in price.

6 0

2 years ago

2/3x + 1/6 = -3x + 4​

2/3x + 1/6 = -3x + 4