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valkas [14]
4 years ago
7

A function f(x) has x-intercepts of –3 and –5. What is the constant term in the function? f(x) = x2 + 8x +

Mathematics
2 answers:
Serhud [2]4 years ago
7 0
The constant term is 15, because x^2 + 8x+ 15 factors to (x + 3)(x +5). Thus, by the zero rule x = -3 and -5.
r-ruslan [8.4K]4 years ago
7 0

Answer:

I believe the answer is 15.


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What is 3/12 equivalent to ?/100
enyata [817]

Answer:

25/100

Step-by-step explanation:

3/12 can be simplified to 1/4

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3 years ago
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tia_tia [17]

Answer:

x=38.5

Step-by-step explanation:

\sqrt{23^{2}- 18^{2}}   =\sqrt{205}

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3 years ago
Which table shows a proportional relationship between x and y?
Semenov [28]

Answer:

B

Step-by-step explanation:

A proportional relationship is a relationship which crosses through the origin (0,0) and which has a proportional constant. We can determine this either by finding (0,0) where x=0 and y=0 in the table or by dividing y/x. None of the tables contain (0,0) so we will divide y by x. We are looking for a table which when each y is divided by its x we have the same constant appearing.

<u>Table A</u>

\frac{12}{3} \neq \frac{15}{6} \neq \frac{18}{8} \neq \frac{20}{10}

These fractions are not equal. This is not proportional.

<u>Table B</u>

\frac{0.5}{1}=\frac{1}{2}  =\frac{3.5}{7} =\frac{4}{8}

These fractions are equal and each shows the numerator to be half of the denominator. This is proportional.

<u>Table C</u>

\frac{1}{3}\neq \frac{2.5}{7.5} \neq \frac{4}{15} \neq \frac{6}{20}

These fractions are not equal. This is not proportional.

<u>Table D</u>

\frac{7}{2} \neq \frac{9}{3}\neq  \frac{11}{4} \neq \frac{13}{5}

These fractions are not equal. This is not proportional.

3 0
3 years ago
Today there are a total of six toll-free area codes: 800, 844, 855, 866, 877, and 888. Assume that all seven digits for the rest
Ludmilka [50]

Answer:

6 \times 10^{7}

Step-by-step explanation:

Total number of toll-free area codes = 6

A complete number will be of the form:

800-abc-defg

Where abcdefg can be any 7 numbers from 0 to 9. This holds true for all the 6 area codes.

Finding the possible toll free numbers for one area code and multiplying that by 6 will give use the total number of toll free numbers for all 6 area codes.

Considering: 800-abc-defg

The first number "a" can take any digit from 0 to 9. So there are 10 possibilities for this place. Similarly, the second number can take any digit from 0 to 9, so there are 10 possibilities for this place as well and same goes for all the 7 numbers.

Since, there are 10 possibilities for each of the 7 places, according to the fundamental principle of counting, the total possible toll free numbers for one area code would be:

Possible toll free numbers for 1 area code = 10 x 10 x 10 x 10 x 10 x 10 x 10 = 10^{7}

Since, there are 6 toll-free are codes in total, the total number of toll-free numbers for all 6 area codes = 6 \times 10^{7}

4 0
4 years ago
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