[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: ({ \: z - 2 \: })^{2} \: }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] {z}^{2} - 4z + 4[/tex]
[tex] = {z}^{2} - 2z - 2z + 4[/tex]
Taking "[tex]z[/tex]" as common from first two terms and "[tex]2[/tex]" from last two terms, we have
[tex] = z \: ( \: z - 2 \: ) - 2 \: ( \: z - 2 \: )[/tex]
Taking the factor [tex](z-2)[/tex] as common,
[tex] = ( \: z - 2 \: )( \: z - 2 \: )[/tex]
[tex] = {( \: z - 2 \: )}^{1 + 1} [/tex]
[tex] = ({ \: z - 2 \: })^{2} [/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35❦}}}}}[/tex]
What is the value of log E 100
Answer:
4.605170185988091
Step-by-step explanation:
ln 100 = 4.605170185988091
e^4.605170185988091 = 100
Step-by-step explanation:
100=1 log 10(1)=0
I hope this is helpful for you
Write the following expression in standard place-value form.
Answer:
3408
Step-by-step explanation:
Integers help me with this question
9514 1404 393
Answer:
5196 m
Step-by-step explanation:
The difference in elevation is found by subtracting one elevation from the other. Usually, we're interested in the positive difference, so we subtract the smaller number from the larger.
5040 -(-156) = 5040 +156 = 5196
The difference in elevation is 5196 meters.
WILL GIVE BRAINLIST! PUT THESE NUMBERS ON THE PLOT
Answer:
"fair" srry im only in 8th so im d.u.m
Step-by-step explanation:
On a coordinate plane, a trapezoid has points H prime (negative 3, negative 2), J prime (negative 2, negative 3), K prime (negative 3, negative 4), G prime (negative 5, negative 2).
Trapezoid GHJK was rotated 180° about the origin to determine the location of G'H'J'K', as shown on the graph. What are the coordinates of pre-image point H?
(2, 3)
(–2, 3)
(3, 2)
(3, –2)On a coordinate plane, a trapezoid has points H prime (negative 3, negative 2), J prime (negative 2, negative 3), K prime (negative 3, negative 4), G prime (negative 5, negative 2).
Trapezoid GHJK was rotated 180° about the origin to determine the location of G'H'J'K', as shown on the graph. What are the coordinates of pre-image point H?
(2, 3)
(–2, 3)
(3, 2)
(3, –2)
Answer:
the coordinates of pre - image point H is (3,2)
Answer:
c time for learning
Step-by-step explanation:
The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $420 to drive 500 mi and in June it cost her $444 to drive 620 mi. (a) Express the monthly cost C as a function of the distance driven d, assuming that a linear relationship gives a suitable model. C(d)
Answer:
[tex]C(d) = \frac{1}{5}d + 320[/tex]
Step-by-step explanation:
Given
[tex]d \to miles[/tex]
[tex]C \to cost[/tex]
So:
[tex](d_1,C_1) = (500,420)[/tex] --- May
[tex](d_2,C_2) = (620,444)[/tex] --- June
Required
Express as a function
Start by calculating the slope (m)
[tex]m = \frac{\triangle C}{\triangle d}[/tex]
[tex]m = \frac{444-420}{620-500}[/tex]
[tex]m = \frac{24}{120}[/tex]
Simplify
[tex]m = \frac{1}{5}[/tex]
The equation is:
[tex]C(d) = m(d - d_1) +C_1[/tex]
[tex]C(d) = \frac{1}{5}(d - 500) +420[/tex]
[tex]C(d) = \frac{1}{5}d - 100 +420[/tex]
Take LCM
[tex]C(d) = \frac{1}{5}d + 320[/tex]
Jom!
06 PM
What is the slope of the line that passes through the points (-4, 4) and (-6, 6)?
Write your answer in simplest form.
Answer:
Step-by-step explanation:
g(x) = x2 – 2 (a) Identify the parent function f.
Answer:g(x) is flipped and 2 times as steep and shifted left 5
Step-by-step explanation:
Plz help me solve this algebra problem
Answer:
Exact Form:
x = 2 √ 2 − 1 3 , − 2 √ 2 − 1 3
Decimal Form:
x = 2.49509379 , − 3.16176045
Step-by-step explanation:
Simplify the decimals as needed
At a basketball game, a vender sold a combined total of 200 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
Answer:
50 hot dogs
150 sodas
Step-by-step explanation:
set up a system of equations where 'h' = # hot dogs sold and '3h' = # sodas sold
h + s = 200
s = 3h
h + 3h = 200
4h = 200
h = 50
s = 200-50 or 150
The population of a small town in central Florida has shown a linear decline in the years 2001-2012. In 2001 the population was 22200 people. In 2012 it was 13950 people.
A) Write a linear equation expressing the population of the town, P , as a function of t , the number of years since 2001. Include the entire equation as your answer. Answer: _________________
B) If the town is still experiencing a linear decline, what will the population be in 2014?
Answer:
Step-by-step explanation:
First of all, to keep our numbers manageable, we are going to let year 2001 = 0 so year 2012 = 11. The coordinates that result from these years/population numbers are (0, 22200) and (11, 13950). Since this linear, we can plug those 2 coordinate pairs into the slope equation to find the rate at which the population is decreasing in people per year:
[tex]m=\frac{13950-22200}{11-0}=\frac{-8250}{11}=-750\frac{people}{year}[/tex] That means that the town is losing people at the rate of 750 per year. We can use that slop along with one of the coordinate points to write the linear equation representing this situation:
[tex]y-22200=-750(x-0)[/tex] and
y = -750x + 22200. That answers part A.
Now for B we need to find y when x = 13 (remember we let year 2001 = 0, so year 2014 = 13):
y = -750(13) + 22200 so
y = 12450 people in the year 2014
find the absolute maximum and the absolute minimum of the given function on the given interval f(x)=xe^x/2 on [-3,1]
Answer:
View the graph for a visual
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]f(x)=xe^{\frac{x}{2} } \\f'(x)=x*\frac{1}{2} e^{\frac{x}{2} } +e^{\frac{x}{2} } =e^{\frac{x}{2} } (\frac{x}{2} +1)\\[/tex]
f'(x)=0, gives x=-2
we find f(x) at x=-3,-2,1
f(-3)=-3e^(-3/2)≈-0.67
f(-2)=-2e^(-2/2)=-2e^{-1}=-2/e≈-0.74
f(1)=1 e^(1/2)=√e≈1.65
will mark as brainliest!
y=acos(b(x-c))+d
give an explanation for how each letter a, b, c and d are shown in the graph compared to y=cosx
Which of the following ordered pairs is a solution to the equation 4x+6y=12? Select all that apply. Select all that apply: (−3,4) (1,3) (−6,6) (−13,10) (0,2)
Choose the pair of sets which is equivalent.
Answer and I will give you brainiliest
What is the total surface area of a rectangular prism box that measures 5 feet by 1 foot by 1 foot
Answer:
22 ft²
Step-by-step explanation:
SA = 2(5 x 1) + 2 ( 5 x 1 ) + 2 (1x1)
SA = 20 + 2 = 22
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Five less than Greg's age is less than 23
Answer:
Greg is 28.
Step-by-step explanation:
Greg's age is y.
y - 5 = 23
y - 5 + 5 = 23 + 5
y = 28
Please help!!! Urgent ….
9514 1404 393
Answer:
ΔWZT ~ ΔWXY
Step-by-step explanation:
Angle XWY and angle ZWT are vertical angles, so congruent.
The sides on either side of those angles are proportional:
WZ/WX = WT/WY
11/22 = 10/20 = 1/2
so, we can claim similarity by the SAS Theorem.
ΔWZT ~ ΔWXY
Find the Area of the Shaded Region.
Round to the nearest tenth if necessary.
14 cm
25 cm
11 cm
Answer:
[tex]Shaded = 212.5cm^2[/tex]
Step-by-step explanation:
Given
See attachment
Required
The shaded region
First, calculate the area of the complete rectangle
[tex]Area =Length * Width[/tex]
[tex]Area = 14cm * 25cm[/tex]
[tex]Area = 350cm^2[/tex]
Next, calculate the area of the triangle
[tex]Area = \frac{1}{2} * Base * Height[/tex]
[tex]Area = \frac{1}{2} *25cm * 11cm[/tex]
[tex]Area = 137.5cm^2[/tex]
Subtract the area to calculate the shaded region area
[tex]Shaded = 350cm^2 - 137.5cm^2[/tex]
[tex]Shaded = 212.5cm^2[/tex]
why is the mean of the set of data is always greater than it's median?
Answer:
One of the basic tenets of statistics that every student learns in about the second week of intro stats is that in a skewed distribution, the mean is closer to the tail in a skewed distribution. So in a right skewed distribution (the tail points right on the number line), the mean is higher than the median.
Step-by-step explanation:
The distribution is said to be right-skewed. In such a distribution, usually (but not always) the mean is greater than the median, or equivalently, the mean is greater than the mode; in which case the skewness is greater than zero.
Which is an equation for the line that passes through (0, 2) and (-2, 0)?
Answer:
Step-by-step explanation:
(0,2). y=mx+b or 2=-2 × 0+b, or solving for b: b=2-(-2)(0).
Answer:
the required equqtion is x-y=2
The relationship between the actual air temperature x (in degrees Fahrenheit) and the temperature y adjust for wind chill (in degrees Fahrenheit, given a 20 mph wind) is given by the following formula:
y= -22 + 1.4x
Estimate the actual temperature if the temperature adjusted for wind chill is -15 degrees Fahrenheit.
The actual temperature is 5 degrees Fahrenheit if the temperature adjusted for wind chill is -15 degrees Fahrenheit.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
We have the relationship between the actual air temperature x (in degrees Fahrenheit) and the temperature y adjust for wind chill (in degrees Fahrenheit, given by 20 mph wind) is given as:
y = -22 + 1.4x
When.
The temperature adjusted for wind chill, y = -15 degrees Fahrenheit
Put this value in the given linear equation, we get:
-15 = -22 + 1.4x
-15 + 22 = 1.4x (add 22 on both sides)
7 = 1.4x
x = 5 degrees Fahrenheit (divide by 1.4 on both sides)
Thus, the actual temperature is 5 degrees Fahrenheit if the temperature adjusted for wind chill is -15 degrees Fahrenheit.
Learn more about the linear equation here:
brainly.com/question/11897796
Which choice shows (40+10)+30 correctly rewritten using the associative property and then correctly simplified?
40 + (10 + 30) = 40 + 40 = 80
40 + 30 + 10 = 70 + 10 = 80
40 + (10 +30) = 50 + 30 =80
(10 +40) + 30 = 50 + 30 =80
please, this is the last time I'm asking, just help me with the Volume.
Answer: 4374
Step-by-step explanation:
what pairs of degree measures NOT belong to the
group?
Answer:
B. 56° and 38°
Step-by-step explanation:
The sum of each of the two angles sums up to 90° ;
A.) 13° and 77°
Sum of A ; (13 + 77)° = 90°
B.) 56° + 38°
Sum = 56° + 38° = 94°
C) 37° and 53°
Sum = 37° + 53° = 90°
D.) 42° and 48°
Sum = 42° + 48° = 90°
Hence, the pair of degree measure which does not belong is B. 56° and 38°
Which of the following represents the factorization of the trinomial below?
x2 - 17x+ 30
A. (x-3)(x-10)
B. (x-2)(x+15)
C. (x-2)(x-15)
D. (x-3)(x +10)
In ΔTUV, t = 7 inches, u = 9.4 inches and ∠V=18°. Find the area of ΔTUV, to the nearest 10th of a square inch.
Answer:
10 square inches
Step-by-step explanation:
that is the procedure above
Answer:
Area=10.167=10.2
Step-by-step explanation:
Area=1/2ab sin c
area= 1/2(7)(9.4)sin18
area = 10.167=10.2
this is for delta math
Identify the relationship between the graphs of these two equations. y = 5/6x + 5 y = 5/6x - 1
parallel
perpendicular
neither
Answer:
parallel
Step-by-step explanation:
the slope of each line is 5/6 which means the lines are parallel
If f (x)
6x – 6 , find f (-1)
Answer:
-12
Step-by-step explanation:
f (x)=6x – 6
Let x= -1
f(-1) = 6(-1) -6
= -6-6
= -12
NO LINKS NO FILES. After you add 3 to both sides of the equation 27 = m/6 - 3, what should you do next?
Answer:
Multiply each side by 6
Step-by-step explanation:
27 = m/6 - 3
Add 3 to each side
27+3 = m/6 - 3+3
30 = m/6
Multiply each side by 6
30*6 = m/6*6
180 = m
