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AlexFokin [52]
3 years ago
8

Which value of b will make the expression x^2+bx+120 factorable?

Mathematics
2 answers:
fenix001 [56]3 years ago
7 0

Answer:  12 b

These are the possible sums of the factor pairs of 12 b is the sum of the factors used to multiply to get 12 for the C value. ( x + 1) xx (x + 12) = x^2 + 13 x + 12 ( x - 1) xx (x - 12) = x^2 + (-13) x + 12 (x + 2) xx (x + 6) = x^2 + 8x + 12 (x - 2) xx (x - 6) = x^2 + (-8)x + 1

Oduvanchick [21]3 years ago
4 0

Answer:

Step-by-step expla These are the possible sums of the factor pairs of 12 b is the sum of the factors used to multiply to get 12 for the C value. ( x + 1) xx (x + 12) = x^2 + 13 x + 12 ( x - 1) xx (x - 12) = x^2 + (-13) x + 12 (x + 2) xx (x + 6) = x^2 + 8x + 12 (x - 2) xx (x - 6) = x^2 + (-8)x + 1

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Addison earn $25 mowing her neighbor's lawn then she loaned her friend $18 and got 50 from her grandmother for her birthday she
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Solution: The total money did addison have to begin with is $29.

Explanation:

Let the addison begin with money $x.

It is given that the addison earn $25 from his neighbor and $50 from her grandmother. So total money addison has \$x+\$25+\$50=\$x+\$75

She loaned her friend %18.

Now she has \$x+\$75-\$18=\$x+\$57

It is given that she had $86.

\$x+\$57=\$86\\\$x=\$86-\$57\\\$x=\$29

Therefore, the total money did addison have to begin with is $29.

4 0
3 years ago
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Suppose that 10% of the undergraduates at a certain university are foreign students, and that 25% of the graduate students are f
Deffense [45]

Answer:

0.6154 = 61.54% probability that the student is an undergraduate

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Foreign

Event B: Undergraduate.

There are four times as many undergraduates as graduate students

So 4/5 = 80% are undergraduate students and 1/5 = 20% are graduate students.

Probability the student is foreign:

10% of 80%

25% of 20%. So

P(A) = 0.1*0.8 + 0.25*0.2 = 0.13

Probability that a student is foreign and undergraduate:

10% of 80%. So

P(A \cap B) = 0.1*0.8 = 0.08

What is the probability that the student is an undergraduate?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.08}{0.13} = 0.6154

0.6154 = 61.54% probability that the student is an undergraduate

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3 years ago
Help FAST PLZ!!! marking brainliest!
ss7ja [257]

Answer:

After finding the prime factorization of $2010=2\cdot3\cdot5\cdot67$, divide $5300$ by $67$ and add $5300$ divided by $67^2$ in order to find the total number of multiples of $67$ between $2$ and $5300$. $\lfloor\frac{5300}{67}\rfloor+\lfloor\frac{5300}{67^2}\rfloor=80$ Since $71$,$73$, and $79$ are prime numbers greater than $67$ and less than or equal to $80$, subtract $3$ from $80$ to get the answer $80-3=\boxed{77}\Rightarrow\boxed{D}$.

Step-by-step explanation:

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2 years ago
Which best describes a triangle with side lengths of 3 inches 4 inches and 8 inches
Ivahew [28]

Answer:

A 3 x 4 x 8 inch triangle

Step-by-step explanation:

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6 0
3 years ago
Follow the steps to find the
katrin [286]

The area of the shaded part is 8.1447cm²

<h3>Area of a sector</h3>

The formula to calculate the area of the shaded region is expressed as:
Area of the shaded region = Area of sector - Area of triangle

Determine the area of the sector

Area of sector = r²β/2

Area of sector = 14²(46π/180)/2

Area of sector = 78.64 cm²

Determine the area of triangle

Area of triangle = 1/2r²sinβ

Area of triangle = 1/2(14²sin46)

Area of triangle = 140.99/2

Area of triangle = 70.49 cm²

Area of shaded part = 78.64 cm² -  70.49 cm²

Area of shaded part = 8.1447cm²

Hence the area of the shaded part is 8.1447cm²

Learn more on area of segment here: brainly.com/question/22599425

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