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erma4kov [3.2K]
3 years ago
11

Show your work x2 – 2x – 35 = 0

Mathematics
1 answer:
Tpy6a [65]3 years ago
8 0

Answer:

x=7     x=-5

Step-by-step explanation:

x^2 – 2x – 35 = 0

Factor

What 2 numbers multiply to -35 and add to -2

-7*5 = -35

-7+5 = -2

(x-7) (x+5) =0

Using the zero product property

x-7 =0       x+5=0

x-7+7=0+7      x+5-5=0-5

x=7     x=-5

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A toy manufacturer uses 90 pints of plastic to make 600 action figures. If they use 810 pints of plastic in an 8 hour shift, how
lutik1710 [3]

Answer:

The number per hour = 5400 ÷ 8 = 675 action figures

Step-by-step explanation:

* Lets explain how to solve the problem

- A toy manufacturer uses 90 pints of plastic to make 600 action figures

- they use 810 pints of plastic in an 8 hour shift

- To find how many action figures are made per hour we must to find

  how many action figures in an 8 hour shift and then find the number

  of the action figures per hour

∵ The toy manufacture  uses 90 pints of plastic to make 600 action

   figures

∵ They use 810 pints

- Lets find how many action figures are made by this numbers of pints

∴ 90/600 = 810/x ⇒ x is the number of action figures

- Use the cross multiplication to find x

∴ 90 x = 810 × 600

∴ 90 x = 486000 ⇒ divide both sides by 90

∴ x = 5400

∴ They will use 810 pints to make 5400 action figures

∵ They use 810 pints in an 8 hour shift

∴ They make 5400 action figures in 8 hours

- To find the number of the action figures per hour divide the number

  of them in 8 hours by 8

∴ The number per hour = 5400 ÷ 8 = 675 action figures

8 0
3 years ago
The city of Madison regularly checks the quality of water at swimming beaches located on area lakes. Fifteen times the concentra
Maksim231197 [3]

Answer:

The sample standard deviation is 393.99

Step-by-step explanation:

The standard deviation of a sample can be calculated using the following formula:

s=\sqrt[ ]{\frac{1}{N-1} \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }

Where:

s= Sample standart deviation

N= Number of observations in the sample

{\displaystyle \textstyle {\bar {x}}}= Mean value of the sample

and \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} } simbolizes the addition of the square of the difference between each observation and the mean value of the sample.

Let's start calculating the mean value:

\bar {x}=\frac{1}{N}  \sum_{i=1}^{N}x_{i}

\bar {x}=\frac{1}{15}*(180+1600+90+140+50+260+400+90+380+110+10+60+20+340+80)

\bar {x}=\frac{1}{15}*(3810)

\bar {x}=254

Now, let's calculate the summation:

\sum_{i=1}^{N}(x_{i}-\bar {x}) ^{2} }=(180-254)^2+(1600-254)^2+(90-254)^2+...+(80-254)^2

\sum_{i=1}^{N}(x_{i}-\bar {x}) ^{2} }=2173160

So, now we can calculate the standart deviation:

s=\sqrt[ ]{\frac{1}{N-1} \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }

s=\sqrt[ ]{\frac{1}{15-1}*(2173160)}

s=\sqrt[ ]{\frac{2173160}{14}}

s=393.99

The sample standard deviation is 393.99

3 0
4 years ago
Can anybody help me I’m stuck
Alina [70]

Answer:

a rectangle

Step-by-step explanation:

1. a quadrilateral has 4 sides. this has 4 sides. this is a quadrilateral

2. a parallelogram has (a) opposite sides and (b) opposite angles of equal length. here, all sides are equal so (a) can be checked off. opposite angles are also equal so (b) can be checked off

3. a rhombus has 4 sides of equal length. all 4 sides are of equal length so this is a rhombus

4. a rectangle has 4 right angles. the angles here are not perpendicular to each other. thus, right angles are not formed and this is not a rhombus

5 0
2 years ago
What is the solution to this system?
katovenus [111]
The solution is where the two lines meet. From the the graph, it looks like
(1, -1)
6 0
3 years ago
Larry flips a coin and picks one out of three marbles (red, blue and yellow). How many total outcomes are possible?
wariber [46]

Answer:

6

Step-by-step explanation:

Head : red, blue, yellow
Tails : red, blue yellow

4 0
3 years ago
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