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Aleks04 [339]
3 years ago
15

Factor -8x^3-2x^2-12x-3

Mathematics
1 answer:
inysia [295]3 years ago
5 0

-8x^3-2x^2-12x-3\\\\=-2x^2(4x+1)-3(4x+1)\\\\=(4x+1)(-2x^2-3)\\\\=\boxed{-(4x+1)(2x^2+3)}

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The slope of a line parallel to the graph of 4x-5y=12
Leya [2.2K]
Parallel lines have the same slope.

4x-5y=12 \\ -5y=-4x+12 \\ y= \frac{4}{5}x- \frac{12}{5}   \\  \\ slope:\frac{4}{5}
6 0
3 years ago
Triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches. What is the area of triangle RST? Round t
Nonamiya [84]

Answer:

Area of triangle RST = 95 in² (Approx)

Step-by-step explanation:

Given:

Side a = 22 in

Side b = 13 in

Perimeter = 50 in

Find:

Area of triangle

Computation:

Side c = Perimeter - Side a - Side b

Side c = 50 - 22 - 13

Side c = 15 in

Heron's formula:

s = Perimeter / 2 = 50 / 2

s = 25 in

Area of triangle = √s(s-a)(s-b)(s-c)

Area of triangle = √25(25-22)(25-12)(25-15)

Area of triangle = √25(3)(13)(10)

Area of triangle = 5√390

Area of triangle = 5 × 19(approx)

Area of triangle RST = 95 in² (Approx)

6 0
3 years ago
A family went to a baseball game. The cost to park cars was $5 and the cost per ticket was $21. Write a linear function in the f
Sophie [7]

Answer:

The total cost y in dollars of going to the baseball game for x people of a family can be given as:

y=21x+5

Step-by-step explanation:

Given:

At a baseball game:

Cost of car parking = $5

Cost per ticket = $21

To write an equation in the form of y=mx+b representing the total cost of going to the baseball game.

Solution:

The total number of people in the family is = x

Using unitary method to find the cost of tickets for x persons.

If 1 ticket costs = $21

<em>Then, x tickets will cost in dollars</em><em> = </em>21x

Fixed rate for car parking = $5

Thus, the total cost y in dollars of going to the baseball game for x people of a family can be given as:

y=21x+5

5 0
3 years ago
7. License Plate Laws The Chapter Problem involved passenger cars in Connecticut and passenger cars in New York, but here we con
sergejj [24]

Yes it is true that commercial truck owners violate laws requiring front license plates at a higher rate than owners of passenger cars because null hypothesis is rejected.

Given among 2049 Connecticut passenger cars, 239 had only rear license plates. Among 334 Connecticut trucks, 45 had only rear license plates.

let p_{1} be the probability that commercial cars have rear license plates and p_{2} be the probability that connected trucks have rear license plates.

                         Cars                     Trucks                         Total

Total                  2049                    334                             2383

x                          239                      45                                284

p                        0.1166                   0.1347                          0.1191

α=0.05

Hypothesis will be  :

H_{0}:p_{1} =p_{2}

H_{1} :p_{1} < p_{2}

It is a left tailed test at 0.05 significance.

Standard errors of p=\sqrt{p(1-p)/n}

=\sqrt{(0.1191*0.8809)/2383}

=\sqrt{0.1049/2383}        

=0.0066

Test statistic Z=p difference/standard error

=(0.1166-0.1347)/0.0066

=-0.0181/0.0061

=-2.967

p value=0.001505<5%

Since p is less than 5% we reject null hypothesis.

We cannot calculate standard deviation so  we cannot calculate confidence interval.

Hence there is statistical evidence at 5% significance level to support that commercial truck owners violate laws requiring front license plates at a higher rate than owners of passenger cars.

Learn more about z test at brainly.com/question/14453510

#SPJ4

5 0
2 years ago
5x+12=-18<br> what is the value of x ?
Morgarella [4.7K]
X = - 6 :)
i calculated it
7 0
3 years ago
Read 2 more answers
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