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2 years ago

What is the completely factored form of 6 x squared minus 13 x minus 5?

Mathematics

1 answer:

777dan777 [17]2 years ago

3 0

Answer:

$(2x-5)(3x+1)$

Step-by-step explanation:

The given quadratic trinomial is $6x^2-13x-5$

Where a=6, b=-13 and c=-5

$ac=-30$

The factors of -30 that add up to -13 are -15,2

We split the middle term to get:

$6x^2+2x-15x-5$

Factor by grouping:

$2x(3x+1)-5(3x+1)$

These completely factors to:

$(2x-5)(3x+1)$

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Which expression can be used to find the price of a $400 telescope after a 32% markup? Select all that apply.

blagie [28]

<h3>Option D</h3><h3>The expression can be used to find the price of a $400 telescope after a 32% markup is: 400 + 400 (0.32 )</h3>

<em><u>Solution:</u></em>

Given that,

Price of telescope = $ 400

Mark up = 32 %

To find: Cost after mark up

The formula used is:

<h3>Cost after mark up = Price of telescope + 32 % of Price of telescope</h3>

Therefore,

Cost after mark up = 400 + 32 % of 400

$\text{Cost after mark up } = 400 + \frac{32}{100} \times 400\\\\\text{Cost after mark up } = 400 + 0.32 \times 400\\\\\text{Cost after mark up } = 400 + 128\\\\\text{Cost after mark up } = 528$

Thus cost after mark up is $ 528 and expression is 400 + 400 (0.32 )

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2 years ago

Bacteria in a dirty glass triple every year. If there are 25 bacteria to start, how many are in the glass after 8 hours?

Semmy [17]

Answer

1,092

Step-by-step explanation:

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2 years ago

Read 2 more answers

Anna’s bank gives her a loan with a stated interest rate of 10.22%. How much greater will Anna’s effective interest rate be if t

nata0808 [166]

If the interest rate is compounded daily, we have the effective interest rate calculated as:
r = (1 + 0.1022/30)^30 -1
r = 0.1074 or 10.74%

Therefore, the effective interest rate if the compounded daily rather than monthly is 10.74-10.22 = 0.52 points higher.

8 0

2 years ago

Suppose two different methods are available for eye surgery. The probability that the eye has not recovered in a month is 0.002

umka21 [38]

Answer:

0.4007

Step-by-step explanation:

Let's define the following events:

A: method A is used

B: method B is used

NR: the eye has not recovered in a month

R: the eye is recovered in a month

The probability that the eye has not recovered in a month is 0.002 if method A is used, i.e., P(NR|A) = 0.002, so P(R|A) = 0.998.

When method B is used, the probability that the eye has not recovered in a month is 0.005, i.e., P(NR|B) = 0.005, so P(R|B) = 0.995.

40% of eye surgeries are done with method A, i.e., P(A) = 0.4

60% of eye surgeries are done with method B, i.e., P(B) = 0.6

If an eye is recovered in a month after surgery is done in the hospital, what is the probability that method A was performed? We are looking for P(A|R), then, by Bayes' Formula

P(A|R) = P(R|A)P(A)/(P(R|A)P(A) + P(R|B)P(B)) = 0.998*0.4/(0.998*0.4 + 0.995*0.6) = 0.4007

4 0

2 years ago

vector u is represented by the directed line segment RS and vector v is represented by the directed line segment OP. if R=(8,-2)

melamori03 [73]

The given points are

R=(8,-2) , S=(11,-6), O=(-3,-9), and P=(0,-13)

To find the value of u and v, we have to perform subtraction of the points . That is

$u= RS = =$