Answer:
A
a notebook costs $2.50
a poem costs $1.50
B
he can buy 3 pens (and correspondingly 9 notebooks)
Step-by-step explanation:
x = price of 1 notebook
y = price of 1 pen
4x + 3y = 14.5
5x + 6y = 21.5
let's multiply the first equating by -2 and then add both equations
-8x - 6y = -29
5x + 6y = 21.5
----------------------
-3x 0 = -7.5
x = 2.5 = $2.50
4×2.5 + 3y = 14.5
10 + 3y = 14.5
3y = 4.5
y = 1.5 = $1.50
p = number of pens
n = number of notebooks
n = 3p
p×1.5 + n×2.5 = 27
p×1.5 + 3p×2.5 = 27
(1.5 + 7.5)p = 27
9p = 27
p = 3
Perfomance task pre-cal
Part 1: Determine the limits of a function given a graph
The value of limits and function values for a, b, c, d, e, f, g, h, i, and j are 3, -1, does not exist, 3, 1, 2, does not exist, 2 +∞, and -∞ and doesn't follow continuity conditions and its jump continuity.
What is the limit?A limit is a value at which a function approaches the output for the given values in mathematics. Limits are used to determine integrals, derivatives, and continuity in calculus and mathematics.
We have a graph of a function:
For [tex]\lim_{x \to -1^{-1}} f(x)[/tex]
As we can see x approaches -1 and it is a left-hand limit.
[tex]\lim_{x \to -1^{-1}} f(x) = 3[/tex]
For [tex]\lim_{x \to -1^{+1}} f(x)[/tex]
The x approaches the +1 and it is the right-hand limit.
[tex]\lim_{x \to -1^{+1}} f(x) = -1[/tex]
For [tex]\lim_{x \to -1} f(x)[/tex]
Since the left hand and right-hand limits are not the same,
[tex]\lim_{x \to -1^{+1}} f(x)[/tex] = does not exist
From the graph:
f(-1) = 3
Similarly, we can find further values of the limits and functions value:
[tex]\lim_{x \to 2^{-1}} f(x) = 1[/tex]
[tex]\lim_{x \to 2^{+1}} f(x) = 2[/tex]
For [tex]\lim_{x \to 2^{}} f(x)[/tex]
Since the left hand and right-hand limits are not the same,
[tex]\lim_{x \to 2^{}} f(x)[/tex] = does not exist
f(2) = 2
[tex]\lim_{x \to -\infty} f(x) = +\infty[/tex]
[tex]\lim_{x \to +\infty} f(x) = -\infty[/tex]
There are three conditions a graph must follow:
1) function value defined at any given point.
2) left-hand limit and right-hand limit must be equal
3) function value at the point and limit value at the same point must be the same.
In the given function the graph doesn't follow these conditions and its jump continuity.
Thus, the value of limits and function values for a, b, c, d, e, f, g, h, i, and j are 3, -1, does not exist, 3, 1, 2, does not exist, 2 +∞, and -∞ and doesn't follow continuity conditions and its jump continuity.
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which graphed line represents an equation of a line with a slope of -2 and a point of line of (-1, 2)
A red line
B blue line
C green line
D purple line
Answer:
D
Step-by-step explanation:
by looking at the point you can see what has a slope.
it is also a decreasing slope
Help help help help
Answer: 1
Step-by-step explanation:
We can start by dividing both sides by 5. This gives us
[tex]6 + s = 7[/tex]
Subtracting 6 from both sides gives us
[tex]s = 7-6=1[/tex]
To check, we can put 1 back in the equation:
[tex]5(6+1) = 35[/tex]
[tex]5(7) = 35[/tex]
Since 5 * 7 is 35, 1 is the answer.
Х
Solve for x.
-30 = 5(x + 1)
x = [tex]\frac{35}{4}[/tex]
_____________________
△ABC is right, and M, N, and T are points of tangency of the inscribed circle. Find m∠MNT.
The angle of inscribed polygon m∠MNT from the triangle ABC is 45°
What is an inscribed polygon?An inscribed polygon is a polygon whose vertices lie on the circle and the circle inscribing the polygon is known to be a circumscribed circle. But let's not forget that the circle is also inscribed in another right-angle triangle.
However, using the inscribed right angle theorem:
Supposed that a right triangle is inscribed in a circle;
We can infer that the hypotenuse is the diameter of the circle.From the given image, line MN is the diameter of the circle since that is the only diameter in the circle.
And the angle facing the diameter is the right angle. i.e ∠T = 90°We know that the sum of angles in a triangle is 180°. So, if ∠T = 90°, ∠N and ∠M = x
i.e.
90° + x + x = 180°
90° + 2x = 180°
2x = 180° - 90°
2x = 90°
x = 90°
x = 45°
Therefore, we can conclude that angle m∠MNT = 45°
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Help but pls explain you thought
Help help help help help hep math
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
The Correct choice is Yes
The shown graph is of a linear function that is in the form of straight line, having fixed slope (rate).
if f(x)=x2-x , show that f(x+1) =f(-x) topic domain and range
f(x+1):-
(x+1)²-xx²+2x+1-xx²+x-1f(-x)
(-x)²-(-x)x²+xLHS≠RHS
Enter the correct answer in the box.
Write the expression (x4)8 in simplest form.
Answer:
x³²
Step-by-step explanation:
When raising exponents to another power, multiply the exponents given.
That means that:
(x⁴)⁸ = x⁽⁴⁾⁽⁸⁾ = x³²
HELP EEEEEEEK….. please
Answer:
5
Step-by-step explanation:
If it is 18 roses for 90 dollars, what is one rose worth?
90 dollars/18 roses=5 dollar per rose
Select the correct answer.
Simplify the following expression.
Answer:
A. 1/49, or 0.02040
Can someone help me please
I recommend using guathmath
A box is 36 inches long 18 inches wide and 6 inches deep. How many cubic feet are in the box?
The amount of cubic feet in the box = volume = 2.25 cubic feet.
What is the Volume of a Box?Volume of a box is the amount of cubic feet in the box which is calculated as: V = (length)(width)(height).
Given the following:
Length = 36 inchesWidth = 18 inchesHeight = 6 inchesVolume = (36)(18)(6)
Volume = 3,888 cubic inches.
Convert to 3,888 cu. in. to cu. ft. [1 cu. ft. = 1728 cu. in.]
3,888/1728 = 2.25 cubic feet.
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Answer:
Step-by-step explanation:
2.25
What is 3^8*3^3/3^2 simplified as a exponent?
Answer:
19683
Step-by-step explanation:
5 stars please
The entire band decides to have a concert to raise the money for the trip. TIckets
for the concert will cost $7.50 each. A local business agrees to donate an ado tonal
$0.50 for each $1.00 in ticket sales to the band for their trip.
What is the least number of concert tickets the band must sell in order to raise te
rest of the money needed for the trip?
Answer:
yeah so you a g my guy
Step-by-step explanation:
The following is a list of wait times, in minutes, at the DMV. is the mean, median, or mode likely to be the best measure of the center for the data set? 31, 32, 31, 34, 30, 30, 31, 31, 30, 31
For the given data set 31, 32, 31, 34, 30, 30, 31, 31, 30, 31, median is the best measure of the center.
The given data set is 31, 32, 31, 34, 30, 30, 31, 31, 30, 31.
In this data set, the best measure of the center would likely be the median.
The data set is relatively small and seems to have a repeated value (30), which could potentially skew the mean.
The median, on the other hand, would provide a more representative measure of the central tendency as it is not affected by outliers or repeated values as much as the mean or mode.
Hence, median is the best measure of the center for the data set.
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A cylinder has a volume of 100π cubic meters.
a. What is the volume of the cylinder if the height is halved? Explain
b. What is the volume of the cylinder if the diameter is halved? Explain
Answer:
a) V/2 ; b) V/4
Step-by-step explanation:
a) V = πR²h
If h --> h/2 the new volume V' = πR²h/2 = V / 2
b) πR²h
If D --> D/2 then R --> R/2 and the new volume V" = π(R/2)²h = π(R)²h/4 = V/4
5. How far can a person run in 15 minutes if he or she runs at an
average speed of 16 km/ty? (HINT: Remember to convert minutes to
hours.)
Now
Distance=Speed ×TimeDistance=16(1/4)Distance=4kmAnswer:
4 km
Step-by-step explanation:
QuestionHow far can a person run in 15 minutes if he or she runs at an average speed of 16 km/h?
Solution1 hours = 60 minutes
[tex]\implies \sf 16 km/h = \dfrac{16\:km/h}{60\:min}=\dfrac{4}{15} km/min[/tex]
If the person runs for 15 minutes, then:
[tex]\implies \sf total\:distance\:run=\dfrac{4}{15}\:km/min \times 15\:min=4\:km[/tex]
answer choices are
14
24
28
48
Answer: 24 square units
Step-by-step explanation:
It appears the shaded area of the rectangle is half of the rectangle's area. This means if we find the area of the rectangle and divide it by 2 we will know the area of the shaded portion.
The formula for the area of a rectangle is [tex]lw=A[/tex]
Where
l is the length (8 for this)
w is the width (6 for this)
A is the area
However, since we are finding half the area we will divide lw by 2
Sub the values into the formula
[tex]\frac{lw}{2} =A\\\frac{(8)(6)}{2} =A\\\frac{48}{2} =A\\24=A[/tex]
Two methods to measure one's heart rate are:
A. Palpitation and monitor
B. None apply
C. Monitor and EKG
D. Palpitation and pulse rate
Answer:
C. Monitor and EKG
D. Palpitation and pulse rate
Explanation:
Correct me if I'm wrong:)
help me please :c :C
Answer:
214 square inch is the area of the figure
Stan’s Car Rental charges $35 per day plus $0.25 per mile. Denise wants to rent one of Stan’s cars, keeping the total cost of the rental to no more than $55.
What is the greatest number of miles Denise can drive the car to stay within her budget?
John is 23 years old and rents a car for 4 days, from Thursday through Sunday. The cost of the car rental is 27.99 with unlimited miles, but the cost of the rental is 42% higher on Saturday and Sunday. The company charges a $40 fee for renters younger than 25 . How much will it cost John to rent the car?
Answer:
109.99 $
Step-by-step explanation:
add or maybe multiply the numbers that have to do with money: 27.99 + 42 + 40
It will cost $107.74 for John to rent a car.
What is addition?Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
Given:
John is 23 years old and rents a car for 4 days, from Thursday through Sunday.
The cost of the car rental is 27.99 with unlimited miles,
but the cost of the rental is 42% higher on Saturday and Sunday.
The company charges a $40 fee for renters younger than 25.
The total cost,
= 27.99 + 40 + 27.99 x 1.42
= $107.74
Therefore, the cost is $107.74.
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What are the roots of the quadratic equation below?
2x2 - 12x + 13 = 0
Answer:
D
Step-by-step explanation:
Quadratic formula: [tex]\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]
[tex]2x^2- 12x + 13 = 0[/tex]
[tex]x=\frac{-(-12)+-\sqrt{(-12)^2-4(2)(13)} }{2(2)}[/tex]
[tex]x=\frac{12+-\sqrt{144-104} }{4}[/tex]
[tex]x=\frac{12+-\sqrt{40} }{4}[/tex]
[tex]x=\frac{12+-2\sqrt{10}}{4}[/tex]
[tex]x=\frac{6+-\sqrt{10}}{2}[/tex]
I hope this helps!
What is the maximum number of 1 cubic centimeter cubes you can fit into a box with a volume of 32 cubic centimeters?
The maximum number of 1 cubic centimeter cubes that will fit into a box with a volume of 32 cm³ is: 32 cubes.
What is the Volume of a Cube?The volume of a cube = s³, where s is the edge length of the cube.
Given the following:
Volume of 1 cube = 1 cubic centimeters
Box volume = 32 cubic centimeters
Number of cubes that will fit into the box = 32/1 = 32 cubes.
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What is the area of this quadrilateral?
2 ft
3 ft
8 ft 8 ft
3 ft
2 ft
Check the picture below.
what is the volume of the prism below?
Step-by-step explanation:
1×2×7/4
= 14/4 = 3.5
choice 2
When the shadow of a flagpole is 36 m long, a 1.8-m fencepost casts a shadow that is 3 m long. How tall is the flagpole?
Answer:
21.6 m long
Step-by-step explanation:
To do this, we find the scale factor of the fencepost and the shadow.
3/1.8 = 1.66666667
So, we know that when we take the original length and multiply it, we get the new one, so:
1.666666667 * x = 36
x being the original length. Now, we divide both sides by 1.66666667 to get x alone and find the original length.
x = 21.6
To double check, we can take the scale factor and multiply it by the original to get the shadow.
21.6 * 1.666666667 = 36
It is correct
What is the length of SQ?
Check the picture below.
The value of x + x(x^x) when x = 2 is:
(a) 10,
(b) 16
(c) 18,
(d) 36,
(e) 64
the value of x + x(x^x) when x = 2.
solution:x + x(x^x)
by putting the value of x = 2 in the above expression we get:
2 + 2(2^2)
= 2 + 2(2 × 2)
= 2 + 2(4)
= 2 + 8
= 10
therefore, the value of x + x(x^x) when x = 2 is 10.
answer= option a
Answer is option a) = 10
have a great day
hope this helps