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3 years ago

What is the binomials is a factor of the trinomials x^2+13x+40?

Mathematics

1 answer:

alexira [117]3 years ago

3 0

The correct answer is: [B]: " (x + 5) " .

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Explanation:

To solve:

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Given:

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" x² + 13x + 40 " ; factor into "two terms" ;

→ that is; "factor into 2 (two) binomial expressions" .

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What 2 (two) factors of: "+ 40" add up to " + 13 " ? ;

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+ 40, + 1 ?? ; → +40 + (+1) = +41 ; → + 41 ≠ + 13 ;

- 40 + (-1) ?? ; → - 40 + (-1) = - 40 - 1 = - 41 ; → - 41 ≠ +13 ;

+8, + 5 ?? ; → + 8 + 5 = + 13 ; → + 13 = + 13 . Yes!

So; the factors of: " x² + 13x + 40 " ;

are: " (x + 5) (x + 8) " .

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Among this 2 (two) binomial factors: "(x + 5)" AND: "(x + 8)" ;

one of these: " (x + 5) " — appears among the answer choices provided;

→ which is: [B]: " (x + 5) " .

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The correct answer is: [B]: " (x + 5) " .

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Hope this helps!

Best wishes in your academic endeavors — and

within the "Brainly" community!

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Customers leaving a subway station can exit through any one of three gates. Assuming that any particular customer is equally lik

swat32

Answer: 0.0123

Step-by-step explanation:

Given : Customers leaving a subway station can exit through any one of three gates.

The probability of selecting any particular gate = $\dfrac{1}{3}$

Sample size : n= 4

Using binomial distribution,

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where P(x) is the probability of getting success inn x trials , n is the number of trails and p is the probability of getting success in each trial.

Then , the probability that among a sample of 4 customers, they all exit through the same gate.

$P(4)=^4C_4(\dfrac{1}{3})^4(\dfrac{2}{3})^{0}=(1)(\dfrac{1}{3})^4=0.0123456790123\approx0.0123$

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4 years ago

The perimeterhof a rectangle is 48 inches. The rectangle is twice as long as it is wide. What is the length of the rectangle?

den301095 [7]

Answer: B: 16 inches

Step-by-step explanation: dont got one

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3 years ago

For y=4x-3, find the

Viktor [21]

Answer:

X=5

Step-by-step explanation:

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3 years ago

Pedro can drive 2 times as fast as Pablo can ride his bicycle. If it takes Pablo 2 hours longer than Pedro to travel 72 miles, h

galben [10]

Pablo can ride his bicycle with speed of 18 miles per hour

Solution:

Given, Pedro can drive 2 times as fast as Pablo can ride his bicycle.

Let the speed of Pablo be "n" miles per hour

Then the speed of the Pedro will be "2n" miles per hour

Now, If it takes Pablo 2 hours longer than Pedro to travel 72 miles,

We have to find how fast can Pablo ride his bicycle?

The formula for speed is given as:

$\text { distance }=\text { speed } \times \text { time }$

Let the time taken by Pedro to travel 72 miles be "t" hours, then time taken by Pablo will be "t + 2" hours

In case of Pablo:

$\begin{array}{l}{72 \text { miles }=\text { speed } \times (t+2) \text { hour }} \\ {\rightarrow 72=n \times(t+2) \rightarrow(1)}\end{array}$

In case of Pedro:

$\begin{array}{l}{72 \text { miles }=\text { speed } \times \text { thours }} \\ {\rightarrow 72=2 n \times t \rightarrow(2)}\end{array}$

Then, equate both (1) and (2)

$\begin{array}{l}{n \times(t+2)=2 n \times t} \\\\ {\rightarrow t+2=2 \times t} \\\\ {\rightarrow t+2=2 t} \\\\ {\rightarrow 2 t-t=2} \\\\ {\rightarrow t=2}\end{array}$

Now, substitute t = 2 in (2)

$\begin{array}{l}{\rightarrow 72=2 n \times 2} \\\\ {\rightarrow 72=4 n} \\\\ {\rightarrow n=18}\end{array}$

Hence, the speed of Pablo is 18 miles per hour.

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3 years ago

A rectangular shaped desk has a length of 25 inches and a width of 18 inches. A desk with a similar shape has a length of 60 inc

dsp73

Length 25/ length 60 = width 18/ ? Width
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3 years ago

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