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2 years ago

Why is this simplified by combining like terms 3(4x+5) +2

Mathematics

1 answer:

Inga [223]2 years ago

3 0

3(4x+5)+2
3•4x=12x
5•3=15+2=17
Answer= 12x + 17

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2 years ago

PLEASE HELP! In a film study, a sample of 300 movies was found to have an average runtime of 116 minutes with a standard deviati

BigorU [14]

Answer:

The answer is 1.42!!!!!!

Step-by-step explanation:

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2 years ago

The base length of a triangle is 12 feet and the height is 6 feet. What is the area of the triangle?

kramer

The formula to find the area of a triangle is:

$\sf~A=\dfrac{1}{2}bh$

Plug in what we know:

$\sf~A=\dfrac{1}{2}(12)(6)$

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3 years ago

Read 2 more answers

A town recently dismissed 9 employees in order to meet their new budget reductions. The town had 7 employees over 50 years of ag

raketka [301]

Answer: 0.1340

Step-by-step explanation:

The binomial distribution formula is given by :-

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where P(x) is the probability of x successes out of n trials, p is the probability of success on a particular trial.

Given : The number of employees over 50 years of age =7

The probability of employees over 50 years of age = $\dfrac{7}{7+15}=0.318$

Number of dismissed employees : n= 9

Now, the required probability will be :

$P(x =1)=^{9}C_1(0.318)^{1}(1-0.318)^{9-1}\\\\=(9)(0.318)(1-0.318)^{8}=0.133950588714\approx0.1340$

Thus, the probability that exactly 1 employee was over 50 = 0.1340

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2 years ago

Find the slope of the lines. Are the 2 lines parallel or perpendicular? Explain how you can use the slope of two lines to tell i

rewona [7]

Answer:

slope = $\frac{3}{7}$ and - $\frac{7}{3}$ , perpendicular

Step-by-step explanation:

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = $\frac{3}{7}$ x + 11 is in this form with m = $\frac{3}{7}$

Rearrange 7x + 3y = 13 into this form

subtract 7x from both sides

3y = - 7x + 13 ( divide all terms by 3 )

y = - $\frac{7}{3}$ x + $\frac{13}{3}$ ← in slope- intercept form

with m = - $\frac{7}{3}$

• Parallel lines have equal slopes

• The product of perpendicular slopes = - 1

The lines are not parallel since slopes are not equal

$\frac{3}{7}$ × - $\frac{7}{3}$ = - 1

Hence lines are perpendicular

6 0

2 years ago