We use parenthesis if an interval is infinite on both boundries in order to exclude end-points .
Square brackets mean the set of all points from a to b .
If we use square brackets , it would mean we are including - infinity and + infinity , which is practically impossible .
When we , use parenthesis only the nos . lying between the two points are taken into consideration , the two points are not included .
So , we use parenthesis to exclude - infinity and + infinity .
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Helppppppppppppppppppppppppppp
Jon walked 90 feet in 13.5 seconds. What is his speed in miles per
hour? (1 mi = 5280 ft)
Round your answer to the nearest tenth.
Do not include a unit of measure with your response; provide just a
numeric answer.
6.66 feet/sec
SPEED = 90 / 13.5
= 6.66 feet/ sec
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27. If Q is the midpoint of PR, find the coordinates of R if
P (3,-5) and Q (-1,2)?
Answer: -5,9
Step-by-step explanation:
A pizza parlor is considering adding taco pizza and Hawaiian pizza to its menu. It surveyed a group of potential customers to find out what they thought, and the results of the survey are shown in the bar graph below, with the percentage of respondents favoring the addition of each pizza shown above the corresponding bar.
They should sell 106 taco pizzas in a day.
What is percentage?A percentage is a number or ratio expressed as a fraction of 100.
Given that, a pizza parlour is considering adding taco pizza and Hawaiian pizza to its menu, it surveyed a group of potential customers to find out what they thought,
They are making 78% of taco pizzas and 135 pizzas a day.
78% of 135 = 135*78 /100 = 106
Hence, They should sell 106 taco pizzas in a day.
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Find a linear function h, given h(7
)equalsnegative 10
and h(negative 2
)equals8.
Then find h(3
)
The linear function of h is h(x) = -2x -13 and the values of h(3) = -19.
Two point form is a method for finding the equation of a function if two of its points are known. If (x1, y1) and (x2, y2) are the two points then equation of the function is given as-
(y - y1) = {(y1 - y2)/ (x1 - x2)} (x - x1)
Here, we are given that h(7) = -10 and h(-2) = 8
This, means that (7, -10) and (-2, 8) will satisfy the given function
Since, we have two points, we will use the two point form to find the equation of function h.
Substituting, x1 = 7, y1 = -10, x2 = -2 and y2 = 8 in the two point form equation we get-
( y - 7) = {(-10 - 8) / (7 + 2)} (x + 10)
y - 7 = (-18/9) (x + 10)
y - 7 = -2(x + 10)
y - 7 = -2x -20
y = -2x -20 + 7
y = -2x -13
Thus, h(x) = -2x -13
Hence, h(3) = -2(3) -13
= -6 -13
= -19
Therefore, h(3) = -19
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100 Points and Brainliest
Given the following function equations, state all of the transformations present on the graph of f(x)
4f(x-1)
-f(2x)
f(-x)+2
Answer:
Step-by-step explanation:
If x
1
=2 ,y
1
=
16
3
dx
dy
=(2.2
−2x
−2
−x
)ln2
(
dx
dy
)
x=2
=
8
1
−
4
1
=−
8
1
ln2=m
(x−x
1
)m=y−y
1
(x−2)(−
8
1
ln2)=y−
16
3
(2ln2)x+16y−3−4ln2=0 is the tangent at the point with abscissa
′
2
′
How to create a number line with -4 less than r
when it tells you what R is then you show a number line with -4 less then R
Tony is hoping to find a job in management with an annual salary of $37,297. What will be his monthly pay rounded to the nearest cent?
Answer:
$3,108.08 per month
Step-by-step explanation:
Calculator shows the answer as 3,108.0833 with the 33 repeating. Rounding to the nearest cent (100ths place) gives $3,108.08
I'm looking for the solution and answer, thanks :)
The solution of the expression [f(x) - f(a)] / (x - a) will be [-7 / (a + 5)(x + 5)].
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The function is given below.
f(x) = 7 / (x + 5)
The difference quotient in the form [f(x) - f(a)] / (x - a) will be
[tex]\rm \rightarrow \dfrac{f(x) - f(a)}{x - a}\\\\\rightarrow \dfrac{\frac{7}{x + 5} - \frac{7}{a + 5}}{x - a}\\\\\rightarrow \dfrac{7 \left ( \frac{a + 5 - x - 5}{(x + 5)(a + 5)} \right )}{x - a}\\\\\rightarrow \dfrac{7(a - x)}{(x - a)(x + 5)(a + 5)}[/tex]
Further, simplify the expression, then we have
⇒ - 7 / (x + 5)(a + 5)
The solution of the expression [f(x) - f(a)] / (x - a) will be [-7 / (a + 5)(x + 5)].
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Carlos and Shawn are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Carlos sold 13 small boxes of oranges and 5 large boxes of oranges for a total of $133. Shawn sold 10 small boxes of oranges and 8 large boxes of oranges for a total of $148. Find the cost of each of one small box of oranges and one large box of oranges.
Answer: The cost of one small box of oranges is $6, while the cost of one large box of oranges is $11.
Step-by-step explanation:
First, set x for the cost of one small box of oranges in dollars, and y for the cost of one large box of oranges in dollars.
Hence, the equations will be:
[tex]13x+5y=133[/tex]
[tex]10x+8y=148[/tex]
Then solve for the equations using the method of elimination. In order to eliminate one of the variables, you need to make the coefficients the same. So, we can multiply the first equation by 8 and the second equation by 5. That would make the equations:
[tex]104x+40y=1064[/tex]
[tex]50x+40y=740[/tex]
Then you can eliminate the y by subtracting.
[tex]54x = 324[/tex]
Then divide by 54 on both sides.
[tex]x=6[/tex]
Now that x is solved, solve for y by substituting for x.
[tex]13(6) + 5y = 133[/tex]
[tex]5y+78=133[/tex]
[tex]5y=55[/tex]
[tex]y=11[/tex]
So, x=6 and y=11.
Stretch
1. John has 15 bills in his wallet that total $145. He has a mix of five-dollar bills, ten-dollar bills, and twenty-
dollar bills. The number of ten-dollar bills is one less than twice the number of twenty-dollar bills.
a. Write a system of three linear equations in three variables to represent this situation. Be sure to
define your variables.
b. How many of each denomination does John have in his wallet? Solve this system using Gaussian
elimination.
John has 7 five-dollar bills, 5 ten-dollar bills and 3 twenty-dollar bills.
Total number of bills with John = 15
Total money with John = $145
John has a mix of $5, $10 and $20 bills
Let the number of $5 bills be x, $10 bills are y and $20 bills be z
Formulating the equations:
5x + 10y + 20z = 145-------(1)
x + y + z = 15--------(2)
As per the question, the number of ten dollar bills is one less than twice the number of twenty dollar bills:
y = 2z - 1
Putting y = 2z-1 in equating (1) and (2) we get:
5x + 10(2z-1) + 20z = 145
5x + 20z - 10 + 20z = 145
5x + 40z = 155--------(3)
x + y + z = 15
x + 2z - 1 + z = 15
x + 3z = 16--------(4)
Multiplying equation (4) with 5 and using Gaussian Elimination to equate (3) and (4)
5x + 40z = 155
5x + 15z = 80
25z = 75
z = 3
Putting z=3 in (4) we get
x = 7 and y = 5
So, John has 7 five-dollar bills, 5 ten-dollar bills and 3 twenty-dollar bills.
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Find the equation of the line whose slope is -3 and which passes through the point (-5, 3).
y = 3x + 12
y=-3x - 12
y=-3x - 18
y=-3x + 8
refer to the number line. find the coordinate of point C that is 7/8 of the distance from m to j. m = 2 , j=18
The coordinate of point C that is 7/8 of the distance is 14
How to find the coordinate of point C that is 7/8 of the distance?The given parameters are
C =7/8 from m to j
While the points are
M = 2
J = 18
The coordinate of point C that is 7/8 of the distance is calculated as
C = 7/8 * (J - M)
This gives
C = 7/8 * (18 - 2)
Evaluate
C = 14
Hence, the coordinate of point C that is 7/8 of the distance is 14
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Carly tutors students in math on the weekends and offers both thirty-minute sessions and sixty-minute sessions. She earns $15 for each
thirty-minute session and $25 for each sixty-minute session.
If she earned $230 this past weekend and had x thirty-minute sessions and x - 2 sixty-minute sessions, what is the value of x?
A 7
B. 5
C. 8
D. 6
The value of x is 7. The correct option is A. 7
Solving Linear equationsFrom the question, we are to determine the value of x
From the given information,
Carly earns $15 for each thirty-minute session and $25 for each sixty-minute session
Also,
She earned $230 this past weekend and had x thirty-minute sessions and x - 2 sixty-minute sessions
Then, we can write that
x × $15 + (x -2) × $25 = $230
Solve for x in the equation
15x + 25(x -2) = 230
15x + 25x - 50 = 230
40x - 50 = 230
40x = 230 + 50
40x = 280
x = 280/40
x = 7
Hence, the value of x is 7. The correct option is A. 7
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Answer:
B. 7
Step-by-step explanation:
Correct on edmentum!
C. describe how you could compare the corresponding sides and angles of figure STUV and its image, figure WXUY
Both the diagrams; figure STUV and its image, figure WXUY are congruent to each other.
What exactly is congruence?If two images are precisely the same in terms of length, width, and height, they are congruent.If one geometric figure can be superimposed on another so that their total area coincides, a certain geometric figure is considered to be congruent or to be situated in the reference of congruence.For the given two diagrams;
WXUY image to mirror STUV
If we rotate the STUV anticlockwise so that side UV coincides with side UY, then side ST≅ WX side TU ≅ side XU, side UY≅ side UV, side YW≅ side VS will be equal, as will angle S≅W, TUV≅XUV, X≅T, and Y≅V will be equal.
Therefore, the side corresponds to the area side ST≅ WX side of TU ≅ side XU, side UY≅ side UV, side YW≅ side VS, and the angle S≅W, TUV≅XUV, X≅T, and Y≅V".
Thus, the given two diagram figure STUV and image, figure WXUY are congruent to each other.
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What is the sum of -1 + (-3)
Answer:
-4.
Step-by-step explanation:
When you add two negatives together it stays a negative. So the answer is -4.
What is:
2 x 4 + 3 - 8 ÷ 1 x 6 + 4 - 11
Answer:
-44
Step-by-step explanation:
2 x 4 + 3 - 8 ÷ 1 x 6 + 4 - 11=-44
Hope this helps!
Answer:
-44
Step-by-step explanation:
Tina Charlie and Amber have Matchbox cars each car has 4 wheels . how many wheels do their cars have altogether .
Answer:
I think its 12
Step-by-step explanation:
I think its 12 bc 4+4+4=12 Sorry if its wrong! ):)
Given: Triangle ABC
Prove: mA = 64°
A
(4x)
B
(90)
C
(x+10)
For the given triangle ABC, the value of angle A = 64°.
What is defined as the triangle?A triangle is a two-dimensional closed shape. It has three sides and is a polygon. Straight lines make up all of the sides. The vertex is the intersection of two straight lines. As a result, the triangle does have three vertices. Each vertex creates an angle.A triangle is made up of three angles. These angles are made up of two triangle sides meeting at a main point recognized as the vertex. The total of all 3 interior angles is 180 degrees.For the given ΔABC;
∠A = 4x
∠B = 90
∠C = x + 10
By the sum of angles of triangle property;
∠A + ∠B +∠C = 180
Substitute the values;
4x + 90 + x + 10 = 180
Simplifying the equation;
5x = 180 - 100
5x = 80
x = 16
Put the value of x in angle A.
∠A = 4x
∠A = 4×16
∠A = 64°
Therefore, the value of angle A is found as 64°.
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the question is on the screenshot
Answer:
I believe it's option 3, because you multiply 3 by 4, and get 12
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
If P=5+7+9+11+...+101 and Q=9+11+13+15+...+103 are sums of arithmetic sequences, determine which
is greater, P or Q, and by how much.
In the sequence, Q is greater by 115.
How to calculate the value?From the information, P=5+7+9+11+...+101 and Q=9+11+13+15+...+103.
It should be noted that by looking at the figures the greater value will be Q as it began with a higher number.
The difference will be:
= 5 + 7 + 103
= 115
Therefore, in the sequence, Q is greater by 115.
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What is 150 minus 22.37?
Answer:
Step-by-step explanation:
127.63
What is the product of 6+3i and its conjugate
Answer:
45
Step-by-step explanation:
You want the product of 6+3i and its conjugate.
ConjugateThe conjugate of a complex number is created by reversing the sign of the imaginary part.
(6 +3i)* = 6 -3i
Product of squaresThe product of a complex number and its conjugate is recognizable as the factored form of the difference of squares:
(6 +3i)(6 -3i) = (6)² -(3i)²
Of course, i² = -1, so this becomes ...
6² -(3i)² = 36 -(-9) = 36 +9 = 45
The product of 6+3i and its conjugate is 45.
__
Additional comment
The product of a complex number and its conjugate is the sum of the squares of the magnitudes of the real and imaginary parts. It is always a real number. This fact is used to simplify expressions involving complex numbers.
art sculpture composed of 3,880 craft sticks and 960 pieces of balsa wood. What is the ratio of craft sticks to balsa wood?
Answer:
3880 ÷ 960 = 4.041
ratio = 4:1
Consider the equation 5x + 8y = 24, A line parallel to the above line would have a slope of:
Answer:
Any line with a slope of -5/8 would be parallel to this line.
Step-by-step explanation:
First write this in the slope intercept form of a line
y = mx + b. The number before the x will be the slope.
5x + 8y = 24 Subtract 5x from both sides of the equation
8y = -5x +24 Divide everything by 8
y = -5/8x + 3
Betsy, a recent retiree, requires $6,000 per year in extra income. She has $60,000 to invest and can invest in B-rated bonds paying 13% per year or in a certificate of deposit (CD) paying 5% per year. How much money should be invested in each to realize exactly $6,000 in interest per year?
$37,500 should be invested in B-rated bonds and $22,500 should be invested in a certificate of deposit in order to realize exactly $6,000 in interest per year.
The total amount to be invested is $60,000. We are given two options for investing the money.The money can be invested either in B-rated bonds, which pays 13% interest per year, or in a certificate of deposit (CD), which pays 5% interest per year.Let the amount to be invested in B-rated bonds be 'x'. The amount to be invested in a certificate of deposit equals 60,000-x. The requirement is to get an exact amount of interest that equals $6000. The total interest per year = 13% of 'x' + 5% of (60,000-x).6,000 = 13x/100 + 5(60,000-x)/100.6,00,000 = 13x + 5(60,000-x)6,00,000 = 13x + 300,000-5x6,00,000 = 8x + 300,0008x = 300,000x = 300,000/8x = 37,500Now calculate the value of 60,000-x.60,000-x = 60,000-37,50060,000-x = 22,500Thus, the amount to be invested in B-rated bonds is $37,500 and the amount to be invested in a certificate of deposit is $22,500.To learn more about interest, visit :
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What’s the distance between A and B
A= (-3,-4)
B= (4,5)
A) square root of 256
B) square root of 130
C) Square root of 82
D) square root of 32
Answer:
C
bacause the root is 82 and it's not that far
evaluate the expression 3 to the third power multiplied by 12-2 divided by 2 iready
Trying to find the inverse of a the function:
s(t) = - 85 - 7t
--------
10
The inverse function of the function is s'1(t) = 1/7(10t + 85)
What are inverse functions?Inverse functions are the opposite of an original equation.
This means that for a function f(x), the inverse of the function f(x) is f-(x); it also represents the opposite function
How to determine the inverse functions?The function f(x) is given as
s(t) = -(85 - 7t)/10
As a general rule, we start by writing s(t) as a variable (say s(t) = s).
So, the equation of the function becomes
s = -(85 - 7t)/10
The next step is to switch/swap the positions of s and t in the above equation s = -(85 - 7t)/10
The equation becomes
t = -(85 - 7s)/10
The next step is to make s the subject of the formula in the above equation t = -(85 - 7s)/10
The equation becomes
10t = -(85 - 7s)
Open the bracket
10t = -85 + 7s
So, we have
7s = 10t + 85
Divide by 7
s = 1/7(10t + 85)
Express as an inverse function
s'1(t) = 1/7(10t + 85)
Hence, the inverse function of the function is s'1(t) = 1/7(10t + 85)
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please help for brainiest asap!!!
The first mistake in solving the given algebraic expression is; Line 3
How to solve Algebraic Expressions?We are given the algebraic expression as;
6(2y + 6) = 4(9 + 3y)
The first step would be to use distributive property of algebra to expand the bracket to get;
12y + 36 = 36 + 12y
The next step will be to use subtraction property of equality to subtract 36 from both sides to get;
12y = 12y
Now, since the coefficients of the variable is the same on both sides, then it means the equation has no solution and as such the conclusion is that the first mistake is in line 3.
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