6x + 1 + 29 = 90
6x + 30 = 90
6x = 90 - 30
6x = 60
x = 60/6
x = 10
Factorise [(x + 1) + (x - 1)]^2 - (x - 1)^2 - (x + 1)^2
Answer:
2(x+1)(x-1)
Step-by-step explanation:
Answer:
[tex]2(x+1)(x-1)[/tex]
Step-by-step explanation:
QUESTION :-
Factorise [tex][(x + 1) + (x - 1)]^2 - (x - 1)^2 - (x + 1)^2[/tex]ALGEBRIC IDENTITIES USED IN THIS QUESTION :-
[tex](x + y)^2 = x^2 + y^2 + 2xy[/tex][tex](x-y)^2 = x^2 + y^2 - 2xy[/tex][tex]x^2 - y^2 = (x+y)(x-y)[/tex]PROCEDURE :-
[tex][(x + 1) + (x - 1)]^2 - (x - 1)^2 - (x + 1)^2[/tex]
[tex]=> [ x + 1 + x - 1]^2 - [(x-1)^2 + (x+1)^2][/tex]
[tex]=> [2x]^2 - [(x^2 + 1 - 2x )+(x^2 + 1 + 2x)][/tex]
[tex]=> 4x^2 - [x^2 + x^2 + 2x - 2x + 1 + 1][/tex]
[tex]=> 4x^2 - [2x^2 + 2][/tex]
[tex]=> 4x^2 - 2x^2 - 2[/tex]
[tex]=> 2x^2 - 2[/tex]
[tex]=> 2(x^2 - 1)[/tex]
[tex]=> 2(x^2 - 1^2)[/tex]
[tex]=> 2(x+1)(x-1)[/tex]
Water flows from a faucet into a bathtub at a constant rate of 2.5 gallons per minute. The bathtub initially has 5 gallon of water in it.
Complete question :
Water flows from a faucet into a bathtub at a constant rate of 2.5 gallons per minute. The bathtub initially has 5 gallon of water in it. Write a function to represent the situation.
Answer:
f(x) = 2.5x + 5
Step-by-step explanation:
A function which could be used to represent the situation is the slope - intercept function ;
The constant rate of water flow per minute could represent the slope of the function, which is the change in y per unit change in x ;
The intercept is the initial water level in the bath tub = 5 gallons
Slope intercept equation:
y = mx + c
m = slope ; c = intercept
The water in the bathtub as a function of x, number of minutes is ;
f(x) = 2.5x + 5
Are vacuoles small or large? PLS HELP I NEED THIS ANSWER FAST!
Answer:
large
Step-by-step explanation:
A tank that is 40% full contains 648 gallons of water. How much water is in the tank when the tank is at full capacity (100%)?
Answer: 1620 gallons of water
Step-by-step explanation:
Let the water that is in the tank when the tank is at full capacity be represented by x.
Therefore, 40% of x = 648
40% × x = 648
40/100 × x = 648
0.4 × x = 648
0.4x = 648
x = 648/0.4
x = 1620
The answer is 1620 gallons
Simplify.
9y-2y
Hehhe can someone help me
Rearrange the equation so b is the independent variable..
a – 7 = 3(b +2)
a =
Answer:
a = 3b+13
Step-by-step explanation:
Decide whether each one of these sets of data is discrete or continuous.
a) the weight of a puppy
b) the number of puppies in a litter
c) a person's temperature
d) the dress sizes of women
Answer:
A set is continuos if the values of the set can be any value in the given ranges
A set is discrete if the values of the set are finite and separate.
Than:
a) The weight of a puppy.
The weight of a puppy can be any value between 0 kg and a given maximum weight, then this is a continuous set.
b) The number of puppies in a litter.
Here we can have only whole numbers, for example, we can not have 7.34321 puppies in the litter, so this is a discrete set.
c) A person's temperature.
Temperature can be any value in a given range, so this is a continuous set.
d) The dress sizes of women.
Normally, there is a given set of dress sizes like s, l, xl, etc.
So in general, this is a discrete set. (While the actual "size" of a dress can take a lot more values than those ones, but this still is a discrete set)
On a flight from San Diego to Baltimore 18 of 156 seats on empty. What is the ratio of filled seats to empty seats on the flight
Answer:
Step-by-step explanation:
A rectangular rug measures 9 feet by 6 feet. The rug has two nonoverlapping yellow circles that each have a diameter of 3 feet. The
part of the rug not covered by the circles is blue. HELP HELP HELP
What percent of the rug is blue
54
65
74
89
Answer:
54%
Step-by-step explanation:
A washer and a dryer cost 854$ combined. The washer costs $96 less than the dryer. What is the cost of the dryer
Answer:
950
Step-by-step explanation:
854+96=950 I need more characters so ingnor this sentence.
A Cd usually sells for 11 if the XD is 10% of abs sales tax are 6% What is the total price of the cd including tax
9514 1404 393
Answer:
$10.49
Step-by-step explanation:
Maybe $11 CDs are selling at a 10% discount with 6% sales tax. Then the total price is ...
$11.00 × (1 -10%) × (1 +6%) = $11.00(0.90)(1.06) ≈ $10.49
The price with discount and tax is $10.49.
Lydia invested $83,000 in an account paying an interest rate of 6.7% compounded
monthly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $210,100?
Answer:
14
Step-by-step explanation:
The required time for Lydia's account to reach $210,100 is 13.9 years.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
First, convert R as a percent to r as a decimal
r = R/100
r = 6.7/100
r = 0.067 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(210,100/83,000) / ( 12 × [ln(1 + 0.067/12)] )
t = ln(210,100/83,000) / ( 12 × [ln(1 + 0.0055)] )
t = 13.9 years
Thus, the required time for Lydia's account to reach $210,100 is 13.9 years.
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(Unit 2 lesson 20). Solve the inequality 2x < 10.*
x < 10
O
x < 5
X = 5
O
X > 5
Answer:
x <5
Step-by-step explanation:
2x<10
Divide each side by 2
2x/2 <10/2
x <5
A student is constructing a triangle with the following dimensions:
side length of 10 inches
side length of 30 inches
Which measurements could be the length of the third side? Select all that apply.
19 inches
21 inches
35 inches
45 inches
50 inches
Answer:
JKBUKKJHKK
Step-by-step explanation:
GYHBGKJHUJUGJ
Answer:
The answer would be 19inches, 50 inches.
i dont knw if its right or not,
but i hope this helps u.
Step-by-step explanation:
Can you plsss. answer 1,2, and 4 questions plss. I need help!
Which of the following shows the extraneous solution to the logarithmic equation below?
2 log Subscript 5 Baseline (x + 1) = 2
x = negative 6
x = negative 4
x = negative 2
x = negative 1
Answer:
A.-6
Step-by-step explanation:
on edg
Answer:
A) -6
Step-by-step explanation:
please help! Simplify the polonomial
Answer:
14[tex]s^{4}[/tex] - 7s² + 15
Step-by-step explanation:
Given
(12[tex]s^{4}[/tex] - 6s² + 4s) + (6[tex]s^{4}[/tex] - 4s + 27) - (4[tex]s^{4}[/tex] + s² + 12) ← distribute parenthesis
= 12[tex]s^{4}[/tex] - 6s² + 4s + 6[tex]s^{4}[/tex] - 4s + 27 - 4[tex]s^{4}[/tex] - s² - 12 ← collect like terms
= 14[tex]s^{4}[/tex] - 7s² + 15
Solve for x. Round to the
nearest tenth.
15
26°
The measure of central angle ABC is StartFraction pi Over 2 EndFraction radians. What is the area of the shaded sector? 6Pi units squared 9Pi units squared 18Pi units squared 36Pi units squared
Answer:
9π unts²
Step-by-step explanation:
Find the diagram attached
Given the following
Radius = 6
Theta = pi/2 = 90°
Area of the sector = theta/360×πr²
Area if the sector = 90/360 × π(6)²
Area of the Sector = 1/4 × 36π
Area of the sector = 9π unts²
Answer:
B: 9Pi units squared
Step-by-step explanation:
trust:)
h(x) = -2(x - 2)(x +1)
In standard form? Help???
Answer:
[tex]h(x)=-2x^2+2x+4[/tex]
Step-by-step explanation:
h(x) = -2(x - 2)(x +1)
Standard form: [tex]h(x)=-2x^2+2x+4[/tex]
Will give brainliest!!!
What is m∠Q=?
What does m∠R=?
What is m∠S=?
Answer:
89°, 123°, 91°Step-by-step explanation:
Inscribed angle is half of the intercepted arc.
m∠Q = 1/2(mPS + mRS) = 1/2(41° + 137°) = 89°Opposite angles are supplementary.
Supplementary angles sum to 180°.
m∠R = 180° - m∠P = 180° - 57° = 123°m∠S = 180° - m∠Q = 180° - 89° = 91°factorise 16a^2 -9b^2
Answer:
it can't be factorised the variables should be same
If there are 365 days in one year then how many days are there in 5 years?
Pls telll....
Ed's new car has a value of $23,500, but it is expected to depreciate at a rate of 7.5% per year. If you were to write an exponential decay function to represent this situation, what would the decay factor be?
Answer:
0.925 or 92.5%
Step-by-step explanation:
y=a(1-b)^x
decay factor is 1-b <- and the part we care about
b is 7.5%=0.075
1-0.075
=0.925
I'm a little rusty on exponential rates, but I hope this helps!
The decay factor for the car will be equal to 0.925 or 92.5%
What is an exponential expression?Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied. Since 2 is the "base" and 5 is the "exponent," it can be written as 2 x 2x 2 x 2=25 for the number 32. This phrase should be understood as "two to the fifth power."
Given that Ed's new car has a value of $23,500, it is expected to depreciate at a rate of 7.5% per year.
The decay factor will be calculated as,
[tex]y=a(1-b)^x[/tex]
b is 7.5%=0.075
Decay factor = 1-0.075
Decay factor = 0.925
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What does the value of the mean absolute deviation tell you about the spread of the data? HURRY PLEASE ILL GIVE 35 POINTS
Answer:
The Mean Absolute Deviation (MAD) of a set of data is the average distance between each data value and the mean. The mean absolute deviation is the "average" of the "positive distances" of each point from the mean. The larger the MAD, the greater variability there is in the data (the data is more spread out).
Step-by-step explanation:
is it hot or cold at the space
Answer:
it depends on lots of things such as the planet air sphere and even if its a planet or an asteroid because hot things moves quickly and cold things moves slowly.
space as space in general is above that at an average of 2.7 kelvin (about minus 455 degrees fahrenheit)
PLEASE GEOMETRY HELP WILL MARK BRAINLIEST!!!
Answer:
120
Step-by-step explanation:
First we can find the value of each exterior angle
The sum of the exterior angles is 360
because a hexagon has 6 congruent exterior angles we divide 360 by 6
360/6=60 so each exterior angle is equal to 60 degrees
the exterior angle and interior angles of any regular polygon are supplementary angles ( meaning the sum of the two is 180) so to calculate the interior angle we subtract 60 from 180
180-60=120 so each measure of the interior angle of a hexagon is 120 degrees
Sale! 60% OFF
of the original price!
The original price of an easel is $30. How much will Jamal pay if he buys it during the sale?
what is the answer ????
Answer:
I think its joe
Step-by-step explanation:
c or b
The answer is c
Step-by-step explanation:
........
..........
..
.
.
find the value of x.
Answer:
19 my friends
have a good day
Step-by-step explanation: