Answer: Quadrant 2
Step-by-step explanation: well quadrant 3 is the bottom right corner, and clockwise would put it up a quadrant, which is quadrant 2.
a. Graph f(x)=left brace7x−12if x≤3x2if x>3b. Find f(1) and f(5).c. State the domain of the function.
Given:
The function is,
[tex]\begin{gathered} f(x)=7x-12,\text{ x}\leq3 \\ =x^2,x>3 \end{gathered}[/tex]a) The graph of the given function us,
Answer: option B)
b) f(1) and f(5) is,
[tex]\begin{gathered} \text{For x=1,} \\ f(x)=7x-12\text{ , if x}\leq3 \\ f(1)=7(1)-12=-5 \\ \text{For x=5,} \\ f(x)=x^2,\text{ if x>3} \\ f(5)=5^2=25 \end{gathered}[/tex]Answer:
[tex]\begin{gathered} f(1)=-5 \\ f(5)=25 \end{gathered}[/tex]c) the domain of the function is,
[tex]undefined[/tex]f(x) = -8x + 20; 5 – 2[f(-1)]
The value of the function at the given value of x = -1 is 5 - 2[f(-1)] = -51
How to evaluate the function at the given value?The equation of the function is given as
f(x) = -8x + 20
The function to calculate is given as
5 - 2[f(-1)]
So, we start by calculating the value of the function at x = -1
This is represented as 'f(-1)
So, we have the following equation
f(-1) = -8(-1) + 20
Evaluate the product
So, we have the following equation
f(-1) = 8 + 20
Evaluate the sum
So, we have the following equation
f(-1) = 28
Substitute f(-1) = 28 in the expression 5 - 2[f(-1)]
So, we have
5 - 2[f(-1)] = 5 - 2 x 28
Evaluate the product
5 - 2[f(-1)] = 5 - 56
Evaluate the difference
5 - 2[f(-1)] = -51
Hence, the value is -51
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Fill in the blank------
Answer:
79.
Domain: (all real numbers)
Range: [1 to infinity)
x-int: none
y int: (0,1)
Function Value: 2 and 4
80.
Domain: (0 to infinity)
Range: [-1 to infinity)
x-int: none
y int: (0,1)
Function Value: 1
ABC is a triangle.
ADC is a straight line with BD perpendicular to AC.
AB = 8 cm
BC = 12 cm
Angle ABD = 60.
Calculate the length of DC.
Give your answer to 3 significant figures
The length of segment DC is given by the law of sines and trigonometric ratios as approximately 11.3 cm
What is the law of sines?The law of sines states that in a triangle, the ratio of the sine of an interior angle of a triangle to the length of the side opposite the angle is constant.
The given parameters are;
The figure ABC is a triangle
The figure ADC is a straight line segment
Segment BD is perpendicular to segment AC
The length of segment AB = 8 cm
Length of segment BC = 12 cm
The measure
[tex] \angle ABD = 60^{ \circ} [/tex]
Required;
The length of segment DC
Solution;
[tex] \angle ADB = 90^{ \circ} [/tex]
Definition of segment BD being perpendicular to segment AC
[tex] \angle BAC = 90^{ \circ} - 60^{ \circ} = 30^{ \circ}[/tex]
Using the law of sines, we have;
[tex]AD = AB × sin( \angle ABD) [/tex]
A vertex of the triangle from the question is point B
Which gives;
AD = 8 × sin(60°) = 4•√3
Similarly, from the law of sines, we have;
[tex]\displaystyle{\frac{BC}{sin ( \angle BAC)} = \frac{AB}{sin ( \angle BCA)} } [/tex]
Which gives;
[tex] \displaystyle{\frac{12}{sin ( 30^{ \circ})} = \frac{8}{sin ( \angle BCA)} } [/tex]
[tex] \displaystyle{ sin ( \angle BCA) = \frac{sin ( 30^{ \circ}) \times 8}{12}= \frac{1}{3} }[/tex]
[tex] \displaystyle{ \angle BCA = arcsine \left(\frac{1}{3}\right) }[/tex]
[tex] \displaystyle{DC= 12 \times cos\left(arcsine \left(\frac{1}{3}\right)\right) = 8\cdot \sqrt{2}}[/tex]
Therefore, DC = 8•√2 ≈ 11.3
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Mia has 12 boxes of chocolate chip cookies and 24 boxes of sugar cookies. Each box of chocolate chip cookies has 36 cookies. Each box of sugar cookies has 84 cookies. Mia says she has about 1,800 cookies in all. Is her answer reasonable? Explain.
Yes, because (12 x 20) + (40 x 80) = 3,400
Yes, because (12 x 80) + (40 x 40) = 2,560
No, because (12 x 40) + (20 x 80) = 2,080
No, because (12 x 80) + (20 x 40) = 1,760
Answer:
The answer given by Mia is not reasonable cause, when we sum up the data given by her we will conclude that the expression should be like (12*36) + (24*84) = 1800.
Step-by-step explanation:
Mia has 12 boxes of chocolate chip cookies and 24 boxes of sugar cookies.
Each box of chocolate chip cookies has 36 cookies.
Each box of sugar cookies has 84 cookies.
So, the total number of chocolate chips cookies will be = 12 * 36 ----(i)
And the total number of sugar cookies will be = 24 * 84 -----(ii)
As Mia says she has about 1,800 cookies in all.
So, we can write (i) and (ii) combined as,
(12*36) + (24*84) = 1800
The answer given by Mia is not reasonable cause, when we sum up the data given by her we will conclude that the expression should be like (12*36) + (24*84) = 1800.
Explanation: No, her answer is not reasonable.
Step by Step solution:
According to the given information, Mia has 12 boxes of chocolate chip cookies and 24 boxes of sugar cookies.
Now, each box of chocolate chip cookies has 36 cookies which means she has (36 × 12) = 432 chocolate chip cookies in total, using the unitary method.
Also, each box of sugar cookies has 84 cookies which means she has (84 × 24) = 1008 sugar cookies in total, using the unitary method.
Mia will then have with her in total of [(36 × 12) + (84 × 24)] = 1440 cookies.
It is an incorrect fact that Mia says that she has about 1800 cookies in total.
Hence, Mia has 1440 cookies in total.
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the midpoints of the adjacent sides of a square are connected to form a new square. what is the number of inches in the perimeter of the new square if the perimeter of the original square is 16 inches? express your answer in simplest radical form.
Therefore, [tex]8\sqrt{2}[/tex] number of inches in the perimeter of new square if the perimeter of the original square is 16 inches.
What is perimeter?
The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.
Given: The midpoints of the adjacent sides of a square are connected to form a new square. The perimeter of the original square is 16 inches.
As perimeter is 16 in, so the side is 4 in.
Each side of the new square is the hypotenuse of an isosceles right triangle with legs of length 2 inches.
[tex](2 in)^2 + (2 in)^2 = s^2\\s^2 = 8 in^2\\s = 2\sqrt{2} in[/tex]
Therefore,
Perimeter = 4s
[tex]P = 4(2\sqrt{2}) = 8\sqrt{2} in[/tex]
Therefore, [tex]8\sqrt{2}[/tex] number of inches in the perimeter of new square if the perimeter of the original square is 16 inches.
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due now pls explain how you got the anser
Answer:
D
Step-by-step explanation:
y=mx+b
-5x is the slope, because it has an x with it
4 is the y-intercept cause it is alone. making it be b also know as the y-intercept
[tex][(1 + \frac{1}{2})}^{2} -2[/tex]
The value of the expression as in the task content is; 1/4.
What is the value of the expression given in the task content?It follows from the task content that the value of the expression is to be determined.
Hence, since the expression whose value is required to be determined is ; (1 + (1/2))² - 2.
It follows from PEMDAS guidelines that the parentheses be solved first so that we have;
(3/2)² - 2........After solving the parentheses.
Next, the exponent should be solved as follows;
= (9/4) - 2.
And finally, by solving the subtraction; we have;
= 1/4 = 0.25.
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6
Mr. Werner works at a computer store. He receives a 20% discount off all merchandise as an employee benefit. Which
proportion can be used to find the amount a of the discount Mr. Werner will receive on a $1,650 computer system?
A
1,650
20
100
a
20
1.650 100
1,650 20
100
-
20
1,650 100
The proportion in (B) a/1650 = 20/100 can be used to find the amount of discount Mr. Werner will receive on purchase of a $1650 computer system.
What is percentage and how can its value be calculated?
A value or ratio that may be stated as a fraction of 100 is referred to in mathematics as a percentage. A portion per hundred is what the percentage denotes. Percentage refers to one in a hundred. The word "%" stands in for it. The dimension of percentages is zero. Thus, a dimensionless number is what it is called. By dividing the value by the entire value and multiplying the resulting number by 100, we can calculate the percentage.
Mathematically, Percentage = (Value/Total Value) × 100
Given, the percentage that Mr. Werner will get = 20%
The value of the discount = a
Total value of the computer = $ 1650
Therefore, using the formula established in the literature above, we have,
20 = (a/1650) × 100 ⇒ a/1650 = 20/100
Thus, the proportion in (B) a/1650 = 20/100 can be used to find the amount of discount Mr. Werner will receive on purchase of a $1650 computer system.
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what is 4/7 divided by 4/23
Answer:
wait nvm it's 23 over 7 as far as I know
what is 10+10+10-10+10-10^1
Answer:
20
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Which of the following describes the arrangement of network cabling between devices?
a. Logical topology
b. Networking technology
c. Physical topology
d. Media access method
Answer:
Physical means the actual wires. Physical is concerned with how the wires are connected. Logical is concerned with how they transmit.
a. Logical
Step-by-step explanation:
...
The arrangement of network cabling between devices is a physical topology. which is the correct answer would be option (C).
What is the Physical topology?The physical configuration of a network, such as the physical arrangement of wires, media (computers), or cables, is referred to as its topology. A link can connect two or more devices, and when the number of connections reaches two, they constitute a physical topology.
A physical network diagram depicts the connecting of devices via cables or wireless links. A logical network diagram, on the other hand, depicts data and signal transfer throughout a network.
Therefore, the arrangement of network cabling between devices is a physical topology.
Hence, the correct answer would be an option (C).
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Find the Domain of each expression
Answer:
[tex]-1 \le x\le1.5[/tex]
Step-by-step explanation:
The expression we're given, we want both to be defined because how can you add a defined number to an undefined number?
Square roots only have real solutions for positive numbers and zero
So let's set up an inequality for both square roots
[tex]2x+2\ge0\\\\6-4x\ge0[/tex]
Let's solve the first one
[tex]2x+2\ge 0\\2x\ge-2\\x\ge-1[/tex]
this is the domain of the "first expression"
let's solve the second one
[tex]6-4x\ge 0\\-4x\ge -6\\x\le 1.5[/tex]
We want them to overlap, so we get a compound inequality: [tex]-1 \le x\le1.5[/tex]
since we want both of the expressions to be defined to define the entire thing.
There were 6 gallons of water in Shivani's bathtub. Then 0.64 gallons drained out. How much water is left in the bathtub?
Answer: 5.36 gallons
Step-by-step explanation:
0.64 gallons [liquid] are equal to 0.16907 litre
6 - 0.64 = 5.36
70x+5=4, because I cannot think right now.
[tex]70x = 4 - 5 \\ 70x = - 1 \\ \frac{7 0x}{70} = \frac{ - 1}{70} \\ x = - \frac{1}{70} [/tex]
HOPE THIS HELPS.
What is the quotient when (x+3) is divided into the polynomial 2x^2+x-15
The value of the quotient of the polynomials is 2x - 1
How to determine the quotient of the polynomials?The polynomials are given as
2x² + x - 15
x + 3
Where
Dividend = 2x² + x - 15
Divisor = x + 3
The quotient of the polynomials is calculated as
Quotient = Dividend/Divisor
Substitute the known values in the above equation
So, we have
Quotient = (2x² + x - 15)/(x + 3)
Factorize the numerator
Quotient = (x + 3)(2x - 1)/(x + 3)
Cancel out the common factors
Quotient = 2x - 1
Hence, the quotient is 2x - 1
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Every spring, Jennifer plants colorful flowers in her garden. This year, she decides to plant petunias. She buys them at the garden store, brings them back home, and starts planting. There is a proportional relationship between the amount of time (in minutes) Jennifer has been working in her garden, x, and the number of petunias she has planted, y
The graph shows the proportional relationship between the amount of time (in minutes). Points (6,3) represent the time required to plant 3 petunias will be 6 minutes.
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
It is given that there is a proportional relationship between the amount of time (in minutes) Jennifer has been working in her garden, x, and the number of petunias she has planted, y
Points 6 represent the time required to plant 3 petunias i.e. 6 minutes.
Points 3 represent the number of petunias i.e 3.
This indicates that after spending 6 minutes in his garden, he plants 3 petunias.
Thus, the graph shows the proportional relationship between the amount of time (in minutes). Points (6,3) represent the time required to plant 3 petunias will be 6 minutes.
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If you buy 40 m of timber at a cost of $200, what is the cost per metre?
Answer: a meter of timber is 5$
Answer:
Rs5
Step-by-step explanation:
40m =Rs 200
Therefore, 1m = 200/40
= Rs 5
The dimensions of a professional basketball court are 50 ft by 94 ft.
A game maker is producing a video basketball game and the court
must be reproduced to fit on a computer screen that is 13 inches by 10 1/2
inches. Which of the following scales is the greatest they can
use to fit on the screen?
a. 1/2 b. 1/8 c. 1/100 d. 1/150
CAN YALL HELP ME
MY BRAIN HAS COMMITED sucidePLUS I FORGOT EVERYTHING
Answer:
Problem 1. n=28
Problem 2. a=10
Step-by-step explanation:
I'm not completely sure what you are really trying to accomplish but I think you are trying to do linear equations for these shapes.
Problem 1.
n+4n+40=180
add like terms
5n+40=180
subtract 40 from both sides
5n=140
divide by 5 on both sides
n=28
Problem 2.
7a+10a+12a+7a=360
add like terms
36a=360
divide both sides by 36
a=10
Hope this helps you remember how to do linear equations!
Please give brainliest!
PLEASE HELP ME SOMEONE THAT'S GOOD WITH MATH? BC I CANT UNDERSTAND THIS QUESTION
Question 3
Let f(x) = 4^x and g(x) = 4^x + 1 - 3.
Which transformations are needed to transform the graph of f(x) to the graph of g(x)?
Select EACH correct answer.
A. Horizontal translation 1 units right.
B. Horizontal translation 3 units right.
C. Vertical translation 3 units down.
D. Vertical translation 1 unit down.
E. Horizontal translation 1 unit left.
F. Vertical translation 3 units up.
We can see that function g(x) is a translation of one unit to the left and 3 units downwards of f(x), thus, the correct options are:
C and E.
What transformations are applied to the function f(x)?Here we have the two functions:
f(x)
g(x) = 4^(x + 1) - 3
And we know that g(x) is a translation of f(x)
Remember that the translations works as follows:
Vertical translation of N units:
g(x) = f(x) + N
If N > 0, the translation is upwards.
If N < 0, the translation is downwards.
Horizontall translation of N units:
g(x) = f(x) + N
If N > 0, the translation is to the left
If N < 0, the translation is to the right.
In this case, we can write g(x) as:
g(x) = f(x + 1) - 3 = 4^(x + 1) - 3
So we will have a translation of one unit to the left and 3 units downwards.
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Having trouble on this one need help
Unknown numbers m represents rational numbers and integer and n represent irrational number for the following case:
d. m = -7, n = √2 is the correct option .
As given is the question,
For given unknown numbers m and n ,
Check whether m is rational numbers and integer and n is irrational or not:
a. m = √3, n= -5
√3 is irrational number.
-5 is an integer and rational number.
b. m=√16 , n = 3 1/5
√16 = 4 is an integer and rational number
3 1/5 = 16/5 is a rational number.
c. m=√4 , n=√9
√4= 2 is an integer and rational number
√9=3 is an integer and rational number
d. m = -7, n = √2
Where,
m = - 7 is an integer and a rational number.
n = √2 is an irrational number.
These numbers can be put in the given diagram in question.
Therefore, unknown numbers m represents rational and integer and n represent irrational number for the following case:
d. m = -7, n = √2 is the correct option .
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Tyrell bought some
baseball equipment. He used a coupon for
off the price of the bat and glove. Write
and evaluate a numerical
expression to find the
total cost of the bat,
the glove, and
3 baseballs.
$69
$75
Baseballs
$5.50
The total cost of the bat, the glove, and the baseballs is $88.5 and this can be determined by using the given data and arithmetic operations.Given :He used a coupon for 1/2 off the price of the bat which is $69 and the glove which is $75.The following steps can be used to evaluate the total cost:Step 1 - Find the cost of the bat after the discount.= $34.5Step 2 - Find the cost of the glove after the discount.= $37.5Step 3 - Now, evaluate the cost of the baseballs.= $16.5Step 4 - Add all the costs to determine the total cost.= 16.5 + 37.5 + 34.5 = $88.5
There are five Reeses, ten Snickers, and
twenty five Milky Ways in the bag of candy.
What does the ratio of 5 to 9 compare?
At a plant, 160,000 tons of petrochemicals are required to produce 100,000 tons of plastic. how many tons of petrochemicals are required to produce 5,000 tons of plastic?
Through the unitary method, we get that 8000 tons of petrochemicals are required to produce 5,000 tons of plastic.
A problem can be solved using the unitary method by first determining the value of a single unit, and then multiplying that value to determine the required value.
Given :
160,000 tons of petrochemicals are required to produce 100,000 tons of plastic.
160,000 tons of petrochemicals produces = 100,000 tons of plastic.
To produce 1 ton of plastic, the required amount of petrochemicals = [tex]\frac{160,000}{100,000} = \frac{8}{5}[/tex] tons...........equation (1)
Let x be the tons of petrochemicals required to produce 5,000 tons of plastic.
Multiplying 5,000 tons on both sides of the equation, we get :
To produce 5,000 tons of plastic =[tex]\frac{8}{5}*5000 = 8000[/tex] tons of petrochemicals
Hence, 8000 tons of petrochemicals are required to produce 5,000 tons of plastic.
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help
(3x+4)(2x+3)
have a nice day :)
Answer:
[tex]6x^{2} +17x+12[/tex]
Step-by-step explanation:
(3x+4)(2x+3)
use the FOIL method: that is, multiple first pair, outer pair, inner pair, then last pair:
(3x+4)(2x+3)
(3x × 2x) + (3x × 3) +(4 × 2x) + (4 × 3)
[tex]6x^{2} +9x+8x+12[/tex]
= [tex]6x^{2} +17x+12[/tex]
What’s the range of 4x+5?
Answer:261
Step-by-step explanation:
4x4x4x4=4x4=16\16x4=64x4=256\256+5=261
You make a game where people try to throw a ball in a hole. The backboard is 34 by 30 inches. If the diameter of the hole
is 16 inches, what is the probability of getting the ball in the hole? Assume the ball either goes in the hole or hits the
board. Give your answer as a DECIMAL.
Assuming the ball either goes in the hole or hits the board, the probability of getting the ball in the hole is 0.197.
What is the probability?Probability is the chance of an expected event happening out of many other possible events.
Probability can be 1 or zero when there is 100% certainty or uncertainty. Otherwise, probability is always between 0 and 1 as a fractional value.
Dimensions of the backboard:Length = 34 inches
Width = 30 inches
Area = 1,020 in² (34 x 30)
Diameter of the hole = 16 inches
Radius of the hole = 8 inches (16/2)
Area of the hole = πR² or π(d/2)²
= ²²/₇ x 8 x 8
= ²²/₇ x 64
= 201 in²
The probability of getting the ball in the hole = the area of the hole divided by the area of the board.
= 0.197 (201/1,020).
Thus, if a person tries to throw a ball in the hole, the probability of achieving intended objective is 0.197.
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1 Order the following rational numbers from least to greatest.
-%, 1,-1,-1%, 6,-4
Answer is
-4 < -1 < -1% < 1 < 6
Find an equation for the perpendicular bisector of the line segment whose endpoints
are (-1,7) and (9, -3).
x + y - 6 is equation of slope-intercept form for the perpendicular bisector of the line segment .
What is slope-intercept form explain?
A line's equation can be written in the slope-intercept form such that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are instantly visible. This form is frequently known as the y = mx + b form.We use formula
[tex]\frac{y - y_{1} }{y_{2} - y_{1} } = \frac{x - x_{1} }{x_{2} - x_{1} }[/tex]
[tex]\frac{y - 7 }{- 3 - 7} = \frac{x - (-1)}{9 - (-1)}[/tex]
y - 7/-10 = x+ 1/10
10(y-7) = -10( x + 1 )
10y - 70 = -10x - 10
10x + 10y - 70 + 10 = 0
10x + 10y - 60 = 0
10( x + y - 6 ) = 0
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