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Ad libitum [116K]
3 years ago
9

We want to find the zeros of this polynomial:

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
6 0

Answer:

x=0     x=2    x=7/2

Step-by-step explanation:

P(x) = 3x (x - 2) (2x - 7)

Set equal to zero

0  = 3x (x - 2) (2x - 7)

Using the zero product property

3x =0  x-2 =0   2x-7 =0

x=0      x=2    2x=7

x=0     x=2    x=7/2

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Noah and his friends are going to an amusement park. The total cost of admission for 8 students is $100, and all students share
maria [59]

Answer:

Yes, Noah did bring enough money.

Step-by-step explanation:

$100/8 student is $12.5, so each students admission costs $12.5 and Noah brough $13 so he will have 50 cents left after paying his entry fee

8 0
3 years ago
Consider the graph with four lines below. On a coordinate plane, line a has a positive slope and goes through points (negative 1
yan [13]

Answer:

The correct option is;

line a and line b

Step-by-step explanation:

Lina a passes through (-1, 0) and (1, 2)

Line b passes through (2, 2) and (-1, -1)

Line c passes through (0, 3) and (1, 0)

Line d passes through y = 1

An equation that has no solution

By examination, from the plot of the coordinates using an online tool, the system that would have no solution is the system of line a and line b because they are parallel lines and cannot meet or have a point where there is a common solution, therefore, there are no solutions when the equations of the two lines are combined in one equation

Slope of line a = -2/-2 = 1

Slope of line b = 3/3 = 1

The slopes of lines a and b are equal, therefore, line a and line b are parallel.

5 0
3 years ago
In the first event, the eighth graders are running a baton relay race with three other classmates. The team's top speed for each
Vladimir [108]

Answer:

  233.53 s

Step-by-step explanation:

The sum of best times for the legs is ...

  56.81 +59.22 +57.39 +60.11 = 233.53 . . . seconds

Without additional information about the effects of training or the normal variation in times, this is the best prediction we can make.

3 0
3 years ago
Assume that human body temperatures are normally distributed with a mean of 98.22 degrees Upper F 98.22°F and a standard deviati
Anna35 [415]

Answer: 0.00102%

Step-by-step explanation:

Given : Human body temperatures are normally distributed with a mean of \mu=98^{\circ}Fand a standard deviation of s=0.61^{\circ}F

A hospital uses 100.6^{\circ}F as the lowest temperature considered to be a fever.

Let x be the random variable that represents the human body temperatures.

z=\dfrac{x-\mu}{s}

For x= 100.6, z=\dfrac{100.6-98}{0.61}=4.26229508197\approx4.26

Using normal distribution table for z-values for right-tailed area ,

P(x>100.6)=P(Z>4.26)=0.0000102=0.00102\%

Hence, the required probability = 0.00102%

8 0
3 years ago
Help, please! If possible explain it like your talking to a little kid :) Thank you♡
monitta

Answer:

GCF: y³z³

Step-by-step explanation:

The greatest common factor is the a term that you can take out of all the terms given to you. This term, when multiplied to each of the individual numbers in the set, will return you to the original amount.

In this case, note that they all share the variables y and z, and that each of them have <em>at least</em> 3 y's and 3 z's. For you to factor, you will divide these from all the terms.

\frac{x^{3}y^{5}z^{5} , y^{3}z^{5} , xy^{3}z^{3} }{y^{3}z^{3}} = x^{3}y^{2}z^{2} , z^{2} , x

y³z³(x³y²z² , z² , x)

~

7 0
2 years ago
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