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DanielleElmas [232]
3 years ago
7

Which are solutions of the equation x^2- 16 = 0? Check all that apply

Mathematics
1 answer:
stealth61 [152]3 years ago
9 0

Answer:

x= -4

x= 4

Step-by-step explanation:

This is a quadratic equation, and can be solved very quickly since it only has two terms, the square one and the free term.

Hence the solutions is obtained following the steps from below:

x2-16=0

Lets sum to both side 16

x2-16=0+16

x2=16

Now, lets apply square root to whole equation:

\sqrt{x^{2} }=\sqrt{16}

x=|4|

The bars means that x can be-4 o 4, since -4^2=16 and 4^2=16

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Joanna has a board that is 6 feet long. She cuts it in to pieces that are each 1/4 foot long. Which equation represents the numb
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6/(1/4) = 24, 1/4 ft long pieces
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3 years ago
A crew of highway workers paved 1/5 mile in 1/8 hour. If they work at the same rate, how much will they
Elan Coil [88]

Answer:

The easiest approach is to realise that one hour is 3 times longer than 20 minutes. The longer the time, the more they will pave.

215 of a mile, in 20 minutes, how much in 60 minutes?#

They will pave 3 times more.

215×31=615 of a mile

615=25 of a mile

You could also use the 'unitary method' where you find out how much they pave in ONE minute (divide by 20) and them multiply by 60 to find how much in one hour.

Look at what happens:

215÷20×60

=215×120×603

=215×3 ← exactly the same maths.

=25

6 0
3 years ago
The length of time to complete a door assembly on an automobile factory assembly line is normally distributed with a mean of 6.7
hram777 [196]
We need to work out the z-value of each question to work out the probability

Question a)

We have
X = 5 minutes
The mean, μ = 6.7 minutes
Standard deviation, σ = 2.2 minutes
z-score = (X - μ) / σ = (5 - 6.7) / 2.2 = -0.77

We want to find the probability of z < -0.77 so we read the z-table for the value of z on the left of -0.77 we have the probability P(z< -0.77) = 0.2206

The table is attached in picture 1 below

The probability of assembly time less than 5 minutes is 0.2206 = 22.06%

Question b)

z-score = (10-5) / 2.2 = 2.27

Reading the z-table for P(z<2.27) = 0.9884
The table reading is shown in the second picture below

The probability the assembly time will be less than 10 minutes is 0.9884

We can use this information to find the probability of the assembly time will be more than 10 minutes  = 1 - 0.9884 = 0.0116 = 1.16%

Question c)

The value of z between 5 minutes and 10 minutes is

P(-0.77<z<2.27) = P(z<2.27) - P(z< -0.77)
P(-0.77<z<2.27) = 0.9884 - 0.2206 = 0.7678 = 76.78%


6 0
3 years ago
Darius deposits $300 into a new savings account. The account earns interest at a rate of 2.18% every 6 months. How much money do
vlada-n [284]
At the end of the 6 months the balance would be 360.54
5 0
3 years ago
I really need on these cause I really don't know this and I need to understand. please help me please.​
lawyer [7]

Answer:

-6m^4-m^3

Step-by-step explanation:

First you move the parenthesis then you group the like terms after you group the like terms you get m^4-7m^4-m^3 which is adding the similar elements and after you add similar elements you get  -6m^4-m^3. Srry if this makes no sense

8 0
3 years ago
Read 2 more answers
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