for the columns where is less than or equal zero, use the first line of the function to calculate the value of f(x)
[tex] { ( \frac{1}{3} ) }^{ - 2} - 1 = 9 - 1 = 8 \\ { ( \frac{1}{3} ) }^{ - 1} - 1 = 3 - 1 = 2 \\ { ( \frac{1}{3} ) }^{ 0} - 1 = 1 - 1 = 0[/tex]
for every x greater than zero, use the second line to determine the value
[tex] {3}^{1} - 2 = 3 - 2 = 1 \\ {3}^{2} - 2 = 9 - 2 = 7[/tex]
hope this helps and gives some insight what to do.
if there are open questions left, feel free to ask them in the comments
have a beautiful day
-Alex
simplify (-81)÷9 pls ans
Answer:
[tex] \frac{ - 81}{9} [/tex]
[tex] - 9[/tex]
We are given that angle ABC and are congruent, and that angle GHI and angle DEF are congruent. By the , the measure of angle ABC is equal to the measure of angle DEF, and the measure of angle GHI is equal to the measure of angle DEF. By the substitution property, the measure of angle ABC is equal to .
Answer:
By the Substitution property, the measure of angle ABC is equal to GHI.
Step-by-step explanation:
According to the Question,
Since we have,
Angle ABC and angle DEF are congruent ⇒ ∠ABC = ∠DEF-------(1 ) Similarly,angle GHI and angle DEF are congruent ⇒ ∠GHI = ∠DEF------(2)On substituting the value of from equation (1) to equation (2)
We get, ∠ABC = ∠GHI ∴ ∠ABC ≅ ∠GHI
Thus, By the Substitution property
The measure of angle ABC is equal to angle GHI.
what is the slope of the line shown below? (enter your answer as a decimal if necessary.)
Answer: The slope is 2 -Please mark brainliest
1. Find the X and Y values of each point
X1: 1
X2: -1
Y1: 3
Y2: -1
2. Subtract X1 from X2 and Y1 from Y2
Y: -1-3=-4
X: -1-1=-2
3. Divide the X value by the Y value
-4/-2=2
The slope of the line shown on the coordinate plane is 2.
Answer:
2
Step-by-step explanation:
(X1,Y1)=(1,3)
(X2,y2)=(-1,-1)
slope(m)=y2-y1/x2-x1
= -1-3/-1-1
= -4/-2
= 2
Find y
Help me please
Answer:
y = 46
Step-by-step explanation:
The measure of an inscribed angle is x, and the measure of its intercepted arc
is y. Which equation describes the relationship between x and y?
Answer:
C. [tex]y = 2\cdot x[/tex]
Step-by-step explanation:
The measure of the inscribed angle ([tex]x[/tex]), in angular units, is directly proportional to the measure of the intercepted arc ([tex]y[/tex]), in length units:
[tex]y \propto x[/tex]
[tex]y = k\cdot x[/tex] (1)
Where [tex]k[/tex] is the proportionality ratio, in length units per angular unit.
Hence, correct answer is [tex]y = 2\cdot x[/tex]. (Correct answer: C)
Alice bought a (k) kg of pork and (i) kg of chicken. how many kg of meat did alice buy??
Write the solutions and explanation with algebraic expression
Answer:
(k)kg+(l)kg=kg
Step-by-step explanation:
I just looked at letters. it's definitely wrong but I typed something so I could get points and get my answers. idc tbh but good luck ig
find the percent of soccer and cross country kids in the fall
Iliana rotated trapezoid WXYZ 180° about the origin.
On a coordinate plane, trapezoid W X Y Z has points (negative 4, 2), (negative 3, 4), (negative 1, 4), (0, 2).
What is the correct set of image points for trapezoid W’X’Y’Z’?
W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)
W’(4, 2), X’(3, 4), Y’(1, 4), Z’(0, 2)
W’(–2, –4), X’(–4, –3), Y’(–4, –1), Z’(–2, 0)
W’(2, 4), X’(4, 3), Y’(4, 1), Z’(2, 0)
Answer:
W'(4, -2), X'(3, -4), Y'(1, -4), Z'(0, -2)
Step-by-step explanation:
The vertices of the trapezoid WXYZ are, W(-4, 2), X(-3, 4), Y(-1, 4), and Z(0, 2)
The coordinates of the image following the rotation transformation of the preimage (x, y) 180° about the origin is (-x, -y)
Therefore, following the rotation transformation of trapezoid WXYZ, the coordinates of the image W'X'Y'Z' are given as follows;
W(-4, 2) rotated 180° about the origin gives W'(4, -2)
X(-3, 4) rotated 180° about the origin gives X'(3, -4)
Y(-1, 4) rotated 180° about the origin gives Y'(1, -4)
Z(0, 2) rotated 180° about the origin gives Z'(0, -2)
Therefore, we get;
W'(4, -2), X'(3, -4), Y'(1, -4), Z'(0, -2).
Answer:
Its A
Step-by-step explanation:
i just took the test.
Please help ASAP and if u can show work
Angle 1=x
Angle 2=y
x+y=180(linear pair)
y=180-x___(1)
(3/2)x=y
(one angle is 1and half the measure of the other)
3x=2y
substitude (1)
3x=2(180-x)
3x=(360-2x)
5x=360
x=72degree
y=180-x
y=108degree
Brainliest please~
Use Lagrange multiplier method to find the maximum and minimum values of (, , ) = − 2 + 5 On the sphere 2 + 2 + 2 = 30
Answer:
Please find the complete question in the attached file.
Step-by-step explanation:
Calculation with Lagrange multipliers of its optimum restricted places,
[tex]f_x = 2\ \ \ \ \ \ \ \ \ \ \ \ \ g_x = 2x\\\\f_y = 1 \ \ \ \ \ \ \ \ \ \ \ \ \ g_y = 2y\\\\[/tex]
Set the multiplier formulas for Lagrange:
[tex]f_x = \lambda g_x \to 2 = \lambda 2x ............ (i)\\\\f-y = \lambda g_y \to 1 = \lambda 2y................ (ii)\\\\constraint: \\\\\to x^2 + y^2 = 5 .................... (iii)\\\\Taking \ (i)\ divides\ (ii), \ (assuming\ \lambda \neq 0)\\\\\frac{2}{1}=\frac{\lambda 2x}{\lambda 2y}=\frac{x}{y}\\\\\therefore \\\\2y = x\\\\Sub\ into\ (iii)\ to\ find\\\\4y^2 + y^2 = 5 \to y = \pm 1\\\\[/tex]
We get solutions (x,y)=(2,1) and (−2,−1) if combined with 2y = x. These are all the identical points we obtained in (c) and we know the f(2,1) is the max, whereas f(−2, −1) is a minimum.
OAA', OBB', and OCC' are straight lines. Triangle ABC is mapped onto Triangle A'B'C' by an enlargement with center O. What is the scale factor of enlargement.
Answer:
(D) 2
Step-by-step explanation:
The scale factor of the enlargement of ΔABC to ΔA'B'C' is given by the ratio of the length of the corresponding sides of ΔA'B'C' and ΔABC
Therefore, we have;
[tex]The \ scale \ factor = \dfrac{Length \ of \overline {B'C'}}{Length \ of \overline {BC}} = \dfrac{Length \ of \overline {A'C'}}{Length \ of \overline {AC}} = \dfrac{Length \ of \overline {A'B'}}{Length \ of \overline {AB}}[/tex]
[tex]\dfrac{Length \ of \overline {B'C'}}{Length \ of \overline {BC}} = \dfrac{2 \ units}{1 \ unit} = 2[/tex]
[tex]\dfrac{Length \ of \overline {A'C'}}{Length \ of \overline {AC}} = \dfrac{4 \ units}{2 \ units} = 2[/tex]
[tex]\dfrac{Length \ of \overline {A'B'}}{Length \ of \overline {AB}} = \dfrac{2 \cdot \sqrt{5} \ units}{\sqrt{5} \ units} = 2[/tex]
Therefore, the scale factor = 2
Evaluate each of the following. help plz
Answer:
5!= 120
13!= 6227020800
12!/6!= 665280
10!/7! 3!= 120
5(4!)= 120
Step-by-step explanation:
help pls and explain!!
Each molecule of aluminum oxide (Al2,03) is
composed of 2 aluminum atoms and 3 oxygen atoms.
How many more oxygen atoms than aluminum
atoms are present in 100 molecules of aluminum
oxide?
Answer:
100
Step-by-step explanation:
[tex](100 \times 3) - (100 \times 2) = 100 [/tex]
Can someone help me with this math homework please!
Answer:
-7x and -2x
Step-by-step explanation:
because -7x and -2x are on the same side of the equation. the equal sign in the equation, -7x+12-2x = 23+13x is basically a different way of writing -7x+12-2x and 23+13x.
they're kind of like 2 separate equations. hope this helped! :)
help asap please ------------------
Answer:
Correct answer 1
Step-by-step explanation:
4x - 10 + 5x = 71 solve the equation and enter the value of x below
Answer:
x = 9
Step-by-step explanation:
First, combine like terms. Like terms are terms with the same variable as well as the same amount of said variables:
4x - 10 + 5x = 71
(4x + 5x) - 10 = 71
9x - 10 = 71
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, add 10 to both sides of the equation:
9x - 10 (+10) = 71 (+10)
9x = 71 + 10
9x = 81
Next, isolate the variable x by dividing 9 from both sides of the equation:
(9x)/9 = (81)/9
x = 81/9 = 9
x = 9 is your answer.
~
help plsssssssssssss i really need helpppp
1. Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
Answer:
y= x + 3
Step-by-step explanation:
we know that
The linear equation in slope-intercept form is equal to
y= mx + b
where
m is the slope
b is the y-intercept
step 1:
Find the slope
Take two points from the graph
see the attached figure
about (37,40) and (47,50)
The formula to calculate the slope between two points is equal to: y2-y1
x2-x1
substitute
M= 50-40/47-37
10/10 = 1
step 2:
Find the y-intercept
we have: m=1
point (37,40)
substitute in the linear equation: 40= (1) (37) + b
solve for b: 3
therefore
The linear equation is: y = x + 3
Please help! i have no idea how to do this, all i know is it's the sine rule. it's due tomorrow so if you know how to do this please help haha
Answer:
93.2°
Step-by-step explanation:
[tex]\frac{sin(38)}{9} = \frac{sin(c)}{11}[/tex] ... c =48.8
a =180-(38+48.8) = 93.2
Helen drives 195miles in 3 hours
what is her average speed in mph
Answer:
65 mph is the correct answer
Answer:
s=d/t
=195/3
=65 mph
Can someone help me please this is my last one
Answer:
Domain and range: [0, ∞)
Step-by-step explanation:
There is no limit to the number of concert tickets someone can buy, but there cannot be negative concert tickets. The domain, or what the input can be, is [0, ∞) as it can be greater than or equal to 0
The range is the total cost, or what the output can be. Since the total cost is the number of tickets multiplied by 55 (as it is $55 per ticket), this can be represented by 55 * number of tickets. The total cost cannot be negative, but it can be 0 if no one buys tickets. As there is no limit to the amount of tickets someone can buy, there is no limit to what the total cost could be, making the range [0, ∞)
general solution
4sin^x+9 cosx-6=0
Answer:
if this is helpful to you...
plz do follow
What is the answer?? I need help
Answer:
∠EFD
Step-by-step explanation:
Δ ABC similar ΔDEF
Trick is to keep the letters in the same order. A for D, B for E, and C for F
∠BCA
Where is the B?
second.
What's the second letter in other triangle?
E.
C is the third. F is the third in the other.
A is first. D is first.
Can someone help me with this math homework please!
Answer:
1: the number of years since 2008 2. t is greater than or equal to 0 3. negative values 4. continuous
Step-by-step explanation:
1. t usually represents time
2. t must be greater than 0 as you can not go backward in time
3. the range must be positive as you can not have negative bobcats
4. its continuous because its a quadratic equation
1. no. of bobcats since 2008
2. greater than equal to 0
3 negative values
4. discrete because no. of bobcats cannot be broken into fraction.
When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object with
mass 7 kg, the acceleration of the object is 4 m/s?. If the same force acts upon another object whose mass is 2 kg, what is this object's acceleration?
Answer:
14 m/s²
Step-by-step explanation:
From the question
a ∝ F/m.............. Equation 1
Where a = aceleration, m = mass, F = force
make F the subject of the equation
F = ma............ equation 2
Given: m = 7 kg, a = 4 m/s²
Therefore,
F = 7(4)
F = 28 N
For another object whose mass is 2 kg,
Make a the subject of equation 2
a = F/m
a = 28/2
a = 14 m/s²
Using f(x) = 4x + 6 with a domain of {-1, 0, 2 }, find the range.
Answer:
{2, 6, 14}
Step-by-step explanation:
Using f(x) = 4x + 6 with a domain of {-1, 0, 2 }, find the range.
To get the range, we will substitute the values of the domain into the given function as shown;
when x = -1
f(-1) = 4(-1)+6
f(-1) = -4+6
f(-1) = 2
when x = 0
f(0) = 4(0)+6
f(0) = 0+6
f(0) = 6
when x = 2
f(2) = 4(2)+6
f(2) = 8+6
f(2) = 14
Hence the required range are {2, 6, 14}
determine which two values the following expression is between.
Answer:
Between 12.8 and 12.9
Step-by-step explanation:
Firstly, we would need to get the value of the surd
So we have this as;
2 √41 = 12.81
Now, looking at the options, we can see that it lies between 12.8 and 12.9; this is our answer
What is the value of x in the equation 0.7x – 1.4 = –3.5?
1. -7
2. -3
3. 7
4. 3
Answer:
the answer is -3
Step-by-step explanation:
0.7x - 1.4 = -3.5
add 1.4 to both sides of the equation
you're left with 0.7x = -2.1
then divide both sides by 0.7
you're left with your answer of -3
There are no results for an 8 sideded fair die with faces labelled 2,3,3,4,7, 7,7,7 and 9 is rolled finmd the probibilty sou;ltio
Answer:
Probability of getting a number which is not 2 = 7/8
Step-by-step explanation:
Given;
Total number of faces = 8
Number of face with 2 = 1
Number of face with 3 = 2
Number of face with 4 = 1
Number of face with 7 = 3
Number of face with 9 = 1
Find:
Probability of getting a number which is not 2
Computation:
Probability of not an event = 1 - [Number of favourable outcomes / Total number of outcomes]
Probability of getting a number which is not 2 = 1 - [1/8]
Probability of getting a number which is not 2 = [8-1] / 8
Probability of getting a number which is not 2 = 7/8
Given that u=4,t=5,a=10and s=it+1\2at
find the greatest number such that x360y is divisible by 24
Answer:
93600
Step-by-step explanation:
The divisibility rule of 24 is that the number has to be divisible by both 3 and 8. So we need to plug in numbers for x and y to find the greatest number. 93600 should be the answer.