Given:
The equation is:
[tex]x^2-64=0[/tex]
One solutions is 8.
To find:
The other solution of the given equation.
Solution:
We have,
[tex]x^2-64=0[/tex]
It can be written as:
[tex]x^2-8^2=0[/tex]
[tex](x-8)(x+8)=0[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
Using zero product property, we get
[tex]x-8=0[/tex] and [tex]x+8=0[/tex]
[tex]x=8[/tex] and [tex]x=-8[/tex]
It is given that the one solutions is 8.
Therefore, the other solution is -8.
can somebody please help fast?
Help I need help with this
Answer:
????
Step-by-step explanation:
A town has a population of 2000 and grows at 4% every year. What will be the
population after 15 years, to the nearest whole number?
Answer:
[tex] \frac{4}{?100} \times \frac{2000}{?1} = 80 \\ \\ 2000 + 80 = 2080 \\ \\ 2080 \times 15 = 31200 [/tex]
Solve the inequality for b.
4b - 12 -5b < 9b + 8
Answer:
9b-12<9b+8
Step-by-step explanation:
b<20
A coat and a pair of boots are on sale for 20% off. The regular price of the coat is $225. The regular price of the
boots is $130.
Find the sale price of the coat.
a
$175.99
b
$200
$355.99
С
d
$180
Answer:
180
Step-by-step explanation:
225 X .80 (100%-20%)
A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium hat costs $6.00. A large hat costs $7.00. He purchases three times as many medium hats as small hats. Using matrices, how many large hats did the coach purchase?
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.
Since a total of 47 hats where purchased, hence:
x + y + z = 47 (1)
Also, he spent a total of $302, hence:
5.5x + 6y + 7z = 302 (2)
He purchases three times as many medium hats as small hats, hence:
y = 3x
-x + 3y = 0 (3)
Represent equations 1, 2 and 3 in matrix form gives:
[tex]\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right][/tex]
Therefore he purchases 6 small hats, 18 medium hats and 23 large hats
Answer:
Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.
Since a total of 47 hats where purchased, hence:
x + y + z = 47 (1)
Also, he spent a total of $302, hence:
5.5x + 6y + 7z = 302 (2)
He purchases three times as many medium hats as small hats, hence:
y = 3x
-x + 3y = 0 (3)
Therefore he purchases 6 small hats, 18 medium hats and 23 large hats
Which equation represents a nonlinear relation?
A y=6x
B y-x=x^2
C x-5=y-7
D y=2x/x-5
help me pls! i'll mark u brainliest promised
Answer:
DF≅YZ
angle R≅angle N
XW≅TH
angle M ≅angle C
new coordinate=(2,1)
new coordinate=(0,2)
Reflection:
new coordinate=(5,-6)
new coordinate=(1,4)
Last one is already done
Step-by-step explanation:
help me please!!! asap!
Answer: C
Explanation: 3(2) = 6
(NOOOOOOOOOOOOOO LIIIIIIIIIIIIIIINKS!!!!!!!!!)
Fill in the missing digits: _37_ minus 2465 = 59_7
I REPEAT, NO LINKS!
helppp please!!! with the equation, i have no clue
Answer:
look at the picture i have sent
Can someone explain this question which part of the class do you think you will apply to your life both now or in the future?
Someone help me pls
Answer:
=a^-13/a^-6
=a^-13+6
=a^-7
© In a class full of men and women,4/9 of the class are women.
What is the ratio of men to women in its simplest form?
Answer:
4:9
Step-by-step explanation:
the population of a city is 10,000 people. A researcher wants to estimate how many people own a car and how many don't. The researcher surveys a random sample of 240 and records and these results. 180 people do own a car and 60 people don't. estimate the number of people that do own a car and don't, round to the nearest 500
Answer:
7380 people have cars and 2460 people dont so rounded to the nearest 500 i would say it is 1000
Step-by-step explanation:
tell me if im right please
Who are some good you tubers to watch?
Answer:
Cocomelon
Their videos are pretty good!
square & cube numbers puzzle
| Using only square and cube numbers less than or equal to 100, can you fill in the circles to make these
| sums true? You can only use each number once and you must use all the numbers.
36) + (64
Square and cube numbers
Answer:
who friendhjcicivigigivigigogogig'g
helpppp pleaseee
NO LINK
Answer:
The graph increases
Step-by-step explanation:
Evaluate the following expression when x=-5 and y=7: *enter numbers only
Answer
x+y
Step-by-step explanation:
HELLLLLPP FASSTT PLZZZZ!!!!!! U ANSWER THIS THANNNKKK YOU
Answer:
1) No
2) 4/8 or 1/2
3) 2/8 or 1/4
4) 4/8 or 1/2
5) No
6) 1/8
7) No
What is the probability that Sarah will not select the queen of hearts?
Answer:
?
Step-by-step explanation:
Answer:
1/52
Step-by-step explanation:
There is only one queen of hearts in a deck of 52 so there for the prbability is 1/52.
Taylor collected 4 white shells and 9 grey shells. If she put all the shells in a bucket and randomly pulled one out, what is the probability that the shell would be white?
Answer:
4/13
Step-by-step explanation:
Add the number of eggs which is 13 so it shows that 13 eggs are in the bag and there are 4 white eggs so the probability of taking a white egg is 4/13
If yu were to randomly survey 500 people each from two largest us cities would this be a random study why or why not HELP NEEDED ASAP !
Answer:
If you're timed then I would say,
Yes this is a random study because the problem specifically states that the survey samples were randomly selected from populations.
I think that is the answer! However, if you have time I would wait for another person to answer as well because I'm terrible at statistics :(
Answer:
No, its nat a random sample
Step-by-step explanation:
Its not a random sample because you have already selected two populations (the two largest US cities) which may or may not be representative of the vast majority of the country.
Hope this helps:)
What angles can make a triangle, it has to do with acute, right, and obtuse angles. which two of these three make a triangle?
Answer:
acute angles and an obtuse angle
Step-by-step explanation:
There are different types of triangle. We have;
Right angled
Obtuse triangle
isosceles triangle etc
Angles of an obtuse triangle is made up of two acute angles are an obtuse angle.
hence the two angles that can make up a triangle out of this three is acute angles and an obtuse angle since this two angles literally form an obtuse triangle
Find the next 2 numbers in the sequence: 12,-1, -14, -27, -40.....
Answer:
12, -1, -14, -27, -40, -53, -66
Step-by-step explanation:
The pattern rule here is,
Start at 12, and minus 13 everytime.
---------------------------------------------------------------------------------------------------------------
Have a good day :)
Step-by-step explanation:
Given :
12 , -1 , -14 ....And we need to find the next two terms of the sequence. Firstly let's find out the common difference.
[tex]:\implies[/tex] CD = -12-1 = -13
Next two terms :-
[tex]:\implies[/tex] Next terms = -53 , -66
Hence the next terms are -53 & -66 .
Which statement is true about the pattern above?
Answer:
The correct answer is "The next fraction in the pattern is 243/324". Each fraction is the other multipled by 3.
Step-by-step explanation:
Help please !!!!!!!!!!!!!!!!!!!!
Answer:
i would say its C but im not 100% sure
Step-by-step explanation:
Help please no links!! Step by step
9514 1404 393
Answer:
42.1 cm
Step-by-step explanation:
The long arc is 265°/360° = 53/72 of the circumference of the circle. Its length is ...
arc length = 53/72C = 53/72(2πr) = 53π/36(9.1 cm) ≈ 42.1 cm
the population of a town is 9,000, and it grows at a rate of 7% per year. what will the population be in 6 years?
Answer:
w
Step-by-step explanation:
m
Answer:
population=12780
Step-by-step explanation:
7% of 9000 is 630
630 times 6 is 3780
9000 plus 3780 is 12780
3) Six teams are playing in a baseball tournament. In how many ways can the teams be crowned champion and
runner-up?
Answer:
15ways
Step-by-step explanation:
This question bothers combination
Combination has to do with selection
Given
Total number of teams = 6
champion and runner up = 2
number of ways is expressed as 6C2
6C2 = 6!/(6-2)!2!
6C2 = 6!/4!2!
6C2 = 6*5*4!/4!*2
6c2 = 30/2
6C2 = 15
Hence the number of ways they can be selected is 15ways