If x = 1 does x² - x = 0?
Answer:
Yes it does
Step-by-step explanation:
we would like to Prove the following for x=1:
[tex] \displaystyle {x}^{2} - x = 0[/tex]
since x=1 substitute:
[tex] \displaystyle {1}^{2} - 1 \stackrel {?}{=}0[/tex]
to simplify it we can consider the order of PEMDAS which is a abbreviation of
ParenthesesExponentMultiplication orDivision Addition orSubstractionsince exponent come first
simplify exponent:
[tex] \displaystyle {1}^{} - 1 \stackrel {?}{ = }0[/tex]
simplify substraction:
[tex]\displaystyle 0 \stackrel { \checkmark}{ = }0[/tex]
since left hand side equal to right hand side
hence, Proven
Alternate way:use a²-b²=(a+b)(a-b) to rewrite:
[tex] \displaystyle (x + \sqrt{x} )(x - \sqrt{x} ) = 0[/tex]
since x=1 substitute:
[tex] \displaystyle (1 + \sqrt{1} )( 1- \sqrt{1} ) \stackrel {?}{=} 0[/tex]
simplify square root:
[tex] \displaystyle (1 + 1)( 1- 1 ) \stackrel {?}{=} 0[/tex]
simplify parentheses:
[tex] \displaystyle (2)( 0) \stackrel {?}{=} 0[/tex]
Multiplying any number by 0 results 0 thus
[tex] \displaystyle 0 \stackrel { \checkmark}{=} 0[/tex]
since left hand side equal to right hand side
hence, Proven
Given,
x = 1
We need to find if x² - x = 0 is true or false.
If x = 1, then x² will be equal to 1² = 1 (1 multiplied by 1 is one / 1 square is equal to 1)
So,
=》x² - x = 0
By substituting ...
=》1² - 1 = 0
Now calculate...
=》1 - 1 = 0
=》0 = 0
•°• The given statement is true.
_____
RainbowSalt2222 ☔
Find the value of x.
1. m<2=x+41
2. m<2=-4+7x
3. m<2=10x-8
4. m<2=x+141
Answer:
1. 2=x+41
‐x=41‐2
x=‐39
2. 2=4+7×
‐7×=4‐2
7×=2
3. 2=10×+8
‐10×=8‐2
‐5×=3
5×=‐3
4.2=×+141
‐x+2=141
‐x=139
Please please help. It’s due at 11:59. I don’t understand
Answer:
Step-by-step explanation:
FYI,
C ∪ D = ( - ∞ , 2 ) ∪ [ 6 , ∞ )
C ∩ D = ∅
Question 3 A study was performed to determine whether men and women differ in their repeatability in assembling components on printed circuit boards. Random samples of 25 men and 21 women were selected, and each subject assembled the units. The two sample standard deviations of assembly time were s Subscript men Baseline equals 0.98 minutes and s Subscript women Baseline equals 1.02 minutes. (a) Is there sufficient evidence to support the claim that men and women differ in repeatability for this assembly task at the 0.02 level of significance
Answer:
There is no sufficient evidence to support the claim that men and women differ in repeatability for this assembly task
Step-by-step explanation:
Given
Let subscript 1 represent men and 2 represent women, respectively.
[tex]n_1 = 25[/tex]
[tex]n_2 = 21[/tex]
[tex]s_1 = 0.98[/tex]
[tex]s_2 = 1.02[/tex]
[tex]\alpha = 0.02[/tex]
Required
Determine if here is enough evidence
First, we need to state the hypotheses
[tex]H_o: \sigma_1^2 = \sigma_2^2[/tex]
[tex]H_1: \sigma_1^2 \ne \sigma_2^2[/tex]
Next, calculate the test statistic using:
[tex]F = \frac{s_1^2}{s_2^2}[/tex]
[tex]F = \frac{0.98^2}{1.02^2}[/tex]
[tex]F = 0.923[/tex]
Calculate the rejection region;
But first, calculate the degrees of freedom
[tex]df_1 =n_1 - 1[/tex]
[tex]df_1 =25 - 1[/tex]
[tex]df_1 =24[/tex]
[tex]df_2 = n_2 -1[/tex]
[tex]df_2 = 21 - 1[/tex]
[tex]df_2 = 20[/tex]
Using the F Distribution: table
[tex]c = \frac{\alpha}{2}[/tex]
[tex]c = \frac{0.02}{2}[/tex]
[tex]c = 0.01[/tex]
At 0.01 level (check row 20 and column 24), the critical value is:
[tex]f_{0.01,24,20} = 2.86[/tex] --- the upper bound
At 0.01 level (check row 24 and column 20), the critical value is:
[tex]f_{0.01,20,24} = 2.74[/tex]
Calculate the inverse F distribution.
[tex]f_{0.99,20,24} = \frac{1}{f_{0.01,20,24}} = \frac{1}{2.74} =0.365[/tex] ---- the lower bound
The rejection region is then represented as:
[tex]0.365 < Test\ Statistic < 2.86[/tex]
If the test statistic falls within this region, then the null hypothesis is rejected
[tex]F = 0.923[/tex] --- Test Statistic
[tex]0.365 < 0.923 < 2.86[/tex]
The above inequality is true; so, the null hypothesis is rejected.
This implies that, there is no sufficient evidence.
What is the area of a rectangle with the length 14 1/2 inches and a width of 5 2/3 inches
Answer:
A = 82 1/6 in^2 (frac. form)
or
A = 82.17 in^2 (dec. form)
Step-by-step explanation:
A = l*w
A = (14 1/2)(5 2/3)
A = (29/2)(17/3)
A = 82 1/6 in^2 (frac. form)
or
A = 82.17 in^2 (dec. form)
For BRAINLIST!!
Which statement is best supported by the information in the dot
plots?
Answer: D
Step-by-step explanation: because the The plot has 20 dots and it cannot be greater than or less then
Will you explain it
Answer:
there is literally nothing in the picture
Answer:
it's a black screen sized 200x200
if EB = 5 , find the value of CD
Chords and Arcs
Answer:
10Step-by-step explanation:
AB = 2EB
AB=CD
Due to that
Cd = 2EB therefore
CD = 10
Simplest form of a3b3c a-3b-3c-1
Answer:
a-6b-6c-2
Step-by-step explanation:
please help me fast thankss
Answer:
it's a bit blurry but if I aint wrong it's the 2nd one that say 2/5
Answer:
2.5 kilograms of chocolate
Step-by-step explanation:
Mari used a thermometer to record temperatures of -3.4 Celsius and 1.6 Celsius . Which temperature in degrees is lower
Name the marked angle in 2 different ways.
V
U
S
T
Answer:
VUS, UST
Step-by-step explanation:
Ms. Monet gave 2 1/2 cups of red paint to each of her 20 students. How many quarts
of red paint did she give out?
pls answer fast this is my last assignments is giving 30 points and make the brainiest
Answer:
obama your mama she looks like joe mama
which ordered pair names the point P?
Answer:
c
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Help please is for now
Answer:
In linear functions, rate of change is constant: as x goes up, y will go up a consistent amount. In exponential functions, the rate of change increases by a consistent multiplier
Step-by-step explanation:
Answer:
Linear functions change at a constant rate per unit interval. An exponential function changes by a common ratio over equal intervals.Step-by-step explanation:
Helppppppppppppppppppppppppppppppppppp
Answer:
acute.... ....... .. . ......
PLS HELP PLS PLS PLSPLS HELP WILL BE SO GRATEFUL I WILL DEFINETLY GIVE BRAINLIEST NO ONE HAS BEEN HELPING ME IVE BEEN ASKING FOR 2 DAYS PLSSSS :(
How many roots does the graphed polynomial function have?
Answer:
3 roots
The graph crosses the x axis 3 times so there are 3 roots.
Step-by-step explanation:
An object is dropped from a height of 1168 feet above the ground.
How high above the ground will the object be after 6 seconds?
Incorrect
feet
Correct
How long after being dropped will the object reach the ground? (if necessary, round to the nearest tenth)
9514 1404 393
Answer:
592 feet
8.5 seconds
Step-by-step explanation:
The usual equation used for ballistic motion is ...
h(t) = -16t^2 +h0
Here, we have h0=1168 and t=6, so ...
h(t) = -16(6^2) +1168 = 592 . . . feet high after 6 seconds
__
For h(t) = 0, the value of t can be found from ...
0 = -16t^2 +1168
t^2 = 1168/16 = 73
t = √73 ≈ 8.5
The object will reach the ground after 8.5 seconds.
20141
ID
NJ008306927
10
Name
Manuel Negron
Tune Remaining
00:24:41
A toy manufacturer is using
this design to package its
latest toy, What is the volume
of the box?
4.5 in.
6.5 in.
-6.5 in.
DinO-BO
315.5 cubic in
389 cubic in
4.5
435.8 cubic in
650.5 cubic in
-10.4 in.
with y width x height)
Answer:
315.5cubic in
10.4 x 4.5 x 6.5=
Step-by-step explanation:
Calculate the finance charge for a credit card that has an average daily balance of Php5,600 and a monthly interest rate of 1.35 %
Answer:The simplest way to calculate a finance charge is: balance X monthly rate
Step-by-step explanation:
i thinkk
500 X .015 = $7.50
The finance charge for a credit card that has an average daily balance of 5,600 and a monthly interest rate of 1.35 % is $75.6.
What is the finance charge?The finance charge is the product of an average daily balance to the monthly interest rate.
finance charge = balance x monthly rate
The simplest way to calculate a finance charge = balance x monthly rate
= 5,600 x 0.0135
= $75.6
Thus, the finance charge for a credit card that has an average daily balance of 5,600 and a monthly interest rate of 1.35 % is $75.6.
Learn more about finance;
https://brainly.com/question/22786445
Which is the graph of f(x)=(x-1)(x+4)?
Answer:
I think its c but it could also be b
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Edge 2021
How many solutions are there in the equation 2x - 5 = 2x - 5?
Answer:
the equation 2(x - 5) = 2x + 3 has no solutionStep-by-step explanation:
(ruu ule
(b) दिइएको समीकरणबाट झुकाव पत्ता लगाऊ ।
(Find the slope of the given equation): y-3 = 2x
Answer:
y-3 = 2x
2x-y+3=0 we have
slope
m =- coefficient of x/coefficient of y=-2/-3=2/3 is a slope..
A package contains 6 cups of cereal. Each serving is 1/4 cup of cereal. How many serving are there in all?
Answer:
1 and 2/4 I think
Step-by-step explanation:
Answer: 24
Step-by-step explanation: 4•(1/4)=1
4•6=24
Find ECD
E
-D
C
31°
A
B
Web crawlers need to estimate the frequency of changes to Web sites to maintain a current index for Web searches. Assume that the changes to a Web site follow a Poisson process with a mean of 6 days. Let a random variable X denote the time (in days) until the next change. Round your answers to three decimal places (e.g. 98.765)
a) What is the probability that the next change occurs in less than 4.5 days?
P(X <4.5)=
b) What is the probability that the time until the next change is greater 9.5 days? P(X> 9.5) =
c) what is the time of the next change that is exceeded with probability 90%? x = _______day(s)
d) What is the probability that the next change occurs in less than 12.5 days, given that it has not yet occurred after 3.0 days?
Answer:C
Step-by-step explanation:
Denise made 1/2 of a liter of hot chocolate. Each mug holds 1/10 of a liter. How many mugs will Denise be able to fill?
Answer:
5 mugs
Step-by-step explanation:
1/2 converted into 10ths would be 5/10 ... meaning 5 mugs
unidad de 1000 a Cuántos centímetros equivale