Answer:
[tex]\lim_{x \to \(-1} f(x)=-2[/tex]
Step-by-step explanation:
In order for a limit to exist in a piecewise function, both its right-side and left-side limits must be equal to each other:
So, if we plug in x=-1 for the left side limit, we get 2cos(πx) = 2cos(π(-1)) = 2cos(-π) = 2(-1) = -2Plugging in x=-1 for the right-side limit, we get 2/cos(πx) = 2/cos(π(-1)) = 2/cos(-π) = 2/(-1) = -2Since both the right-side and left-side limits are equal to each other, we can say that the limit of f(x) as x approaches -1 is -2, therefore the limit existsSee the attached graphFind the slope from the two points given: (-4, 2) and (5, 6) *
Answer:
Slope = 4/9
Step-by-step explanation:
x1(-4,2)
x2(5,6)
Slope,
m = (y2-y1)/(x2-x1)
= (6-2)/(5--4)
=4/9
What is the measure of arc WYZ?
----------
231
255
200
168
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Answer:
(a) 231°
Step-by-step explanation:
arc WYZ = arc WX + arc XYZ
arc WYZ = 51° +180° . . . . . XZ is a diameter, substitute known arc measures
arc WYZ = 231°
What is the least common multiple of these two denominators? 3/6 , 2/12
A: 18
B:12
C:6
D:15
Step-by-step explanation:
simple
multiples of 6= 1, 2, 3, 6
multiples of 12= 1, 2, 3, 4, 6, 12
.L.C.M of 12 and 6= 12
Point J is on line segment \overline{IK} IK . Given IK=5x,IK=5x, IJ=4,IJ=4, and JK=4x,JK=4x, determine the numerical length of \overline{IK}. IK
Answer:
IK = 20
Step-by-step explanation:
If Point J is on the line segment IK, then;
IK = IJ + JK
Given that
IJ = 4
IK = 5x
JK = 4x
Substitute into the expression
5x = 4 + 4x
5x - 4x = 4
x = 4
Get the value of IK
IK = 5x
IK = 5(4)
IK = 20
Hence the numerical length of IK is 20
If one zero of the polynomial 5z2 + 13z – p is reciprocal of the other, then find p.
Step-by-step explanation:
Please mark as brainlist !!!!!!(☆^ー^☆)
Select the two values of x that are roots of this equation.
X2 + 2x - 5 = 0
Answer:
[tex]x=-1+\sqrt{6 }[/tex]
[tex]x=-1-\sqrt{6 }[/tex]
Step-by-step explanation:
[tex]x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]
Ignore the A before the ±. It wouldn't let me type it correctly.
x² + 2x - 5 = 0
a = 1
b = 2
c = - 5
[tex]x=\frac{-2±\sqrt{2^{2}-4((1)(-5)) } }{2(1)}[/tex]
[tex]x=\frac{-2±\sqrt{4-4((1)(-5)) } }{2(1)}[/tex]
[tex]x=\frac{-2±\sqrt{4+20 } }{2(1)}[/tex]
[tex]x=\frac{-2±\sqrt{24 } }{2}[/tex]
[tex]x=\frac{-2±\sqrt{(2)(12) } }{2}[/tex]
[tex]x=\frac{-2±\sqrt{(2)(2)(6) } }{2}[/tex]
[tex]x=\frac{-2±\sqrt{(2)(2)(2)(3) } }{2}[/tex]
[tex]x=\frac{-2±(\sqrt{2} )(\sqrt{2})(\sqrt{(2)(3) )} }{2}[/tex]
[tex]x=\frac{-2±2\sqrt{6 } }{2}[/tex]
Two separate equations
[tex]x=\frac{-2+2\sqrt{6 } }{2}[/tex]
[tex]x=\frac{-2-2\sqrt{6 } }{2}[/tex]
[tex]x=-1+\sqrt{6 }[/tex]
[tex]x=-1-\sqrt{6 }[/tex]
Ruth is knitting hats to sell at a local fair. The booth costs her $63 and the materials for each hat cost $10. She plans on selling them for $19. How many hats will Ruth have to make to break even, and how much will sales and costs be at that point?
Answer: Ruth have to make 7 hats to break even.
Step-by-step explanation:
Break even point is a point where Cost = Revenue.
Let x be the number of hats sold.
Given: Cost of booth = $63
Each hat cost = $10
Selling price for each cost = $19
As per given,
Total cost = Cost of booth+ (Cost of each hat)(Number of hats)
= 63+10x
Total selling price = 19x
For break even,
63+10x=19x
9x=63
x=7
Hence, Ruth have to make 7 hats to break even.
What is the product of n(-0.5)(-1.2)(-5.22)?
Answer:
First multiply the first two terms so (-0.5)(-1.2) = 0.6 as product of two negative numbers is positive number.
Step-by-step explanation:
Im BIg BrAiN :D
Please help 7th grade math
Answer:
d = 67.5
e = 22.5
Step-by-step explanation:
d + e = 90
d = 3e
Therefore, we can simply divide 90 by 4, which gives us 22.5, and also tells us what e equals. Then, multiply that by 3 to get d.
Hope that this helps!
PLS HELPP ASAP
Plss help me
Answer:
a. 42
Step-by-step explanation:
10.5x4=42
I NEED HELP ITS ALMOST DUE!!
Answer:
B) 9
Step-by-step explanation:
rise over run and simplify
length of wall is 13.5m calculate the area in cm2
Answer:
15 Apr 2018 — Area of path parallel to the remaining length of ... Area of parallelogram ABCD = AB × AE = 8 × 4 cm2 ... We can also calculate area of shaded portion by using area of..
Answer:
185.25 cm^2
Step-by-step explanation:
since only length is given i considered the wall as square shape. So given :
length = 13.5 cm
area of the wall = l^2
= 13.5^2
=182.25 cm^2
Find the missing side length.
Answer:
x = 4ft
Step-by-step explanation:
[tex]by \ Pythagoras \ theorem : \\x^2 = 3^2 + 3^2 \\\\x^2 = 9 + 9 = 18\\x = \sqrt{18} = \sqrt{2 \times 3 \times 3} = 3\sqrt{2}\ = 4.24 = 4ft[/tex]
Can somebody give me a link to Maths Progress Core 2 active learn
Simplify the following expression as much as possible.
(4+1)-(3-51)(-2+57)
O A. -15-241
O B. 35-241
O C. -15+ 261
O D. 35+261
Which of the following points are in the second quadrant of the xy-plane? Check all that apply. O A. (-4,2) O B. (-7, 6) O C. (4,8) O D. (2,2) O 6 E. (6,-2) O F. (-2,-8)
Answer:
a and b bc that are in the negative-positive quad
Which of the following best describes the equation below? 3(x + 9) + 6x = 9x - 27 A. no real solutions B. exactly one real solution, x = -1 C. exactly one real solution, x = D. infinite real solutions
Answer:
no solutions
Step-by-step explanation:
3(x + 9) + 6x = 9x - 27
Distribute
3x+27 +6x = 9x -27
Combine like terms
9x +27 = 9x -27
Subtract 9x from each side
27 = -27
This is never true so there are no solutions
Solve the problem. A room in the shape of a triangle has sides of length 7 yards, 8 yards, and 11 yards. If carpeting costs $13.50 per square yard and padding costs $2.25 per square yard, how much to the nearest dollar will it cost to carpet the room, assuming there is no waste? $426 $419 $440 $377
BRAINLIEST TO FIRST CORRECT ANSWER
HELP ASAP!
27.928 times 15.75
439.866 rounds to 440
Helppppppppppppppppp
Answer:37.7825
Step-by-step explanation: all you really need to do is find the percentage of 595 of 6.35 which is 37.7825
PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEE easdyfhrdfghfchdfchfch
A pair of shoes is 60% off if the sale price is now $33 find the original price
Answer:
$82.5
Step-by-step explanation:
40%-33
10%-8.25
100%-82.5
Solve the following equation for A. Be sure to take into account whether a letter is
capitalized or not.
q2 = g(-h + A)
Answer:
A = (q² + gh) / g
Step-by-step explanation:
Given equation:
q² = g(-h + A)
Solve for A
q² = g(-h + A)
q² = -gh + gA
Add -gh to both sides
q² + gh = -gh + gA + gh
q² + gh = gA
Divide both sides by g
(q² + gh) / g = gA / g
A = (q² + gh) / g
A circle has a radius of 3. An arc in this circle has a central angle of 340°. What is the length of the arc? Either enter an exact answer in terms of or use 3.14 for and enter your answer as a decimal. 340tom
Step-by-step explanation:
length of arc=2πr(340/360)
= 2x3.14x3(0.944)
=17.78 approximately 17.8
Shawn rode his bike 3 miles to the library. He rode 4 miles to his friend’s house. Then, he rode 5 miles home. How many miles in all did Shawn ride his bike?
2 birds are building a nest. Bird A is flying toward the nest at the same time bird B is flying away from it
Answer:
Step-by-step explanation:
is it that 1 bird is at the nest and the other is flying away ?
If the diameter of the circle is 42 cm, then the area of the shaded area is
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Answer:
781.4 cm²
Step-by-step explanation:
The shaded region consists of four (4) 30° sectors and eight (8) 60° segments. The formulas for the areas of these figures can be used.
area of sector = (1/2)r²θ
area of segment = (1/2)r²(θ -sin(θ))
For radius r, the area of the 4 sectors is ...
sector area = 4(1/2)(r²)(π/6) = (π/3)r²
and the area of the 8 segments is ...
segment area = 8(1/2)(r²)(π/3 -sin(π/3)) = 4r²(π/3 -√3/2) = (4/3)πr² -r²(2√3)
So, the total shaded area is ...
shaded area = r²(π/3 +4π/3 -2√3)
The radius of the circle is 21 cm, so the shaded area is ...
(21 cm)²(5π/3 -2√3) ≈ 781.4 cm²
Find the numerical value of the log expression.
log a = 11
log b = -5
log c= 6
Refer to the attachment for answer...
someone plz help with dis
Find the distance between each pair points
Ramon drew boxplots to summarize the number of pages in each chapter of two books. The values of the interquartile ranges for these boxplots are the same. Which boxplot could represent this data?
Answer
look at the ss i sent to see the answer
Step-by-step explanation: