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3 years ago

The binomial (x 5) is a factor of x2 8x 15. what is the other factor?

Mathematics

2 answers:

alex41 [277]3 years ago

6 0

The other factor is (x+3)

ladessa [460]3 years ago

4 0

We can do this in two different ways:

Method 1
Since
$(x + 5)$
is a factor, we can use it to obtain the other factor by long division(see attachment).
${x}^{2} + 8x + 15 = (x + 5)(x + 3)$

Hence the other factor is
$(x + 3)$

Method 2

We can factor the trinomial to obtain the other factor.

Two factors of 15 that add up to 8 are,

$5,3$
We split the middle term as follows:
${x}^{2} + 8x + 15 = {x}^{2} + 3x + 5x + 15$
${x}^{2} + 8x + 15 = x(x + 3) + 5(x + 3)$
${x}^{2} + 8x + 15 = (x + 3) (x + 5)$
Hence the other factor is

$(x + 3)$

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A scuba diver starts at 29 meters below the surface and descends until he reaches 67 meters below sea level. How many meters did

KiRa [710]

Answer:
38 meters

explanation:
you subtract 29 from 67
(67-29=38)

3 0

3 years ago

Determine which data are qualitative and which data are quantitative. Explain your reasoning

wel

Answer:

1. A. Quantitative data

B. Quantitative data

C. Qualitative data

D. Quantitative data

E. Qualitative data

F. Quantitative data

2.a. Yearly salaries: interval or ratio data

b. Employee numbers: interval or ratio data

c. Area codes : nominal data

d. The ages: interval or ratio data

e. Survey answers: ordinal data

f. IQ index: interval or ratio data

Explanation:

Qualitative data is data in the form of a quality such as a characteristic. It is usually a noun, such as whether a person is fair or dark in complexion. Quantitative data is data in form of quantity such as the amount in dollars of one's salary.

There are four levels of data measurement. They are: nominal data, ordinal data, interval data, and ratio data. Nominal and ordinal data are qualitative data while interval and ratio data are quantitative data.

4 0

3 years ago

The diagram represents the factorization of x2 – 9x + 18. It is partially completed.

blagie [28]

Answer:

-3x and -6x

Step-by-step explanation:

Take a look at the missing spaces. Multiply -6 with x which equals -6x

Multiply -3 with x which equals -3x

Therefore, the answer is B, -3x and -6x

3 0

3 years ago

Convert the following unsigned binary number to unsigned decimal.<br><br> 110011.101

tangare [24]

Answer:

51.625

Step-by-step explanation:

Given a unsigned binary number, to calculate the unsigned decimal:

first, starting at dot, you list the positive powers of 2 from right to left beginning in $2^{0}$ that is equal to “1”. Increase by one the exponent in every power until you complete the total quantity of digits from the unsigned binary number. In this case, since dot to the left, the binary number has six digits (110011). That is to say that you get the followings powers: $2^{5}$ $2^{4}$ $2^{3}$ $2^{2}$ $2^{1}$ $2^{0}$ .

Second, do the same from dot to the right but this time, you list the negative powers of 2 from left to right beginning in $2^{-1}$ that is equal $\frac{1}{2}$ = 0.5. so you get: $2^{-1}$ $2^{-2}$ $2^{-3}$

Now, join two parts and you get:

$2^{5}$ $2^{4}$ $2^{3}$ $2^{2}$ $2^{1}$ $2^{0}$ $2^{-1}$ $2^{-2}$ $2^{-3}$

1 1 0 0 1 1. 1 0 1

Then, you write the equivalent of each of the power below from corresponding binary digit, like that:

$2^{5}$ $2^{4}$ $2^{3}$ $2^{2}$ $2^{1}$ $2^{0}$ $2^{-1}$ $2^{-2}$ $2^{-3}$

1 1 0 0 1 1. 1 0 1

| | | | | | | | |

32 16 8 4 2 1 0.5 0.25 0.125

Finally, you write under the line the equivalent of each power that corresponding to “1” and write “0” under the line, the one that corresponding to “0”, and you sum each one of finals values. Like that:

$2^{5}$ $2^{4}$ $2^{3}$ $2^{2}$ $2^{1}$ $2^{0}$ $2^{-1}$ $2^{-2}$ $2^{-3}$

1 1 0 0 1 1. 1 0 1

| | | | | | | | |

32 16 8 4 2 1 0.5 0.25 0.125

_______________________________________

32 16 0 0 2 1 0.5 0 0.125

32 + 16 + 0 + 0 + 2 + 1 + 0.5+ 0 + 0.125 = 51.625

So that the equivalent from unsigned binary number 110011.101 to unsigned decimal is 51.625

5 0

4 years ago

A social networking site recorded that 80 per-cent of people who became members of the site one month were between 30 and 40 yea

77julia77 [94]

Answer:

x=360 30-40 yrs =288

Step-by-step explanation:

multiple 72 by .05 (36) to find 10 percent, then multiple 80 percent by that number(36) then add both numbers together to get total number of members that month

(72x.05)=36x2+(.80x36)=288

288+72=360

3 0

4 years ago