HELPPP
Consider the function G(x)=x^2 + 7x – 18/x^2+2x-8
Which type of discontinuity does the function have at x = -4?
1.jump
2.mixed
3.infinite
4.removable
Answer:
it is an infinite discontinuity.
Step-by-step explanation:
Removable type of discontinuity does the function have at x = -4. Option 4 is correct.
What is the definition of removable discontinuity?If the limit of the function at the place of discontinuity exists and the value of the function exists, but they are not equal to each other, the discontinuity is removable.
We may eliminate the discontinuity by making the function's value equal to the function's limiting value at that time.
The given function is;
G(x)=x²+ 7x – (18/x)²+2x-8
G(-4)=(-4)²+7×(-4)- (18/-4)²+2(-4)-8
G(-4)=16-28-20.25-8-8
G(-4)=16-64.25
G(-4)=- -48.25
The given data on putting the value gives the negative values.
Hence, the removable type of discontinuity does the function have at x = -4
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19.
A box contains only quarters and dimes. If there were 10% more quarters, the total
value of the money in the box would increase by 7.5%. What is the ratio of the number of quarters to the
number of dimes in the box? Express your answer as a common fraction.
Answer:
The ratio of the number of quarters to the number of dimes in the box is 9:10
Step-by-step explanation:
A sector of a circle of 7cm has an area of 44cm².calculate the angle of the sector,correct to the nearest degree π =22\7
Answer:
[tex]\theta=102.85^{\circ}[/tex]
Step-by-step explanation:
Given that,
The radius of circle, r = 7 cm
The area of sector, A = 44cm²
We need to find the angle of the sector. The formula for the area of sector is given by :
[tex]A=\dfrac{\theta}{360}\pi r^2[/tex]
Solve for [tex]\theta[/tex].
[tex]\theta=\dfrac{360A}{\pi r^2}\\\\\theta=\dfrac{360\times 44}{\dfrac{22}{7}\times 7^2}\\\\\theta=102.85^{\circ}[/tex]
So, the angle of the sector is equal to [tex]102.85^{\circ}[/tex].
What is the value of sin(7pi/4)? See attached.
Answer:
-sqrt(2)/2 , the last option of your document.
Step-by-step explanation:
sin(7pi/4) = -sin(7pi/4 - pi)
= -sin(7pi/4 - 4pi/4)
= - sin(3pi/4)
sin(3pi/4) is a special angle , which is sqrt(2)/2
Hence, sin(7pi/4) = -sin(3pi/4)
= -sqrt(2)/2
Answer:
-sqrt(2)/2
Step-by-step explanation:
did the test
2/3-5/6 over 3/4. What’s the answer
The value of (2/3 - 5/6) / 3/4 is -2/9.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
(2/3 - 5/6) / 3/4
2/3 - 5/6
= (4 - 5)/6
= -1/6
Now,
(-1/6 )/(3/4)
= -1/6 x 4/3
= -4/18
= -2/9
Thus,
The value is -2/9.
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A construction crew is lengthening a road. Let y represent the total length of the road (in miles). Let x represent the number of days the crew has worked.
Suppose that x and y are related by the equation y = 53+2x.
Answer the questions below.
Note that a change can be an increase or a decrease.
For an increase, use a positive number. For a decrease, use a negative number.
What is the change per day in the road's length?
miles
What was the road's length when the crew started working?
Answer: The equation y = 53+2x relates the variables x and y, where x represents the number of days the crew has worked and y represents the total length of the road.
The change per day in the road's length is given by the coefficient of x in the equation, which is 2. Thus, the change per day in the road's length is 2 miles.
The road's length when the crew started working is given by the constant term in the equation, which is 53. Thus, the road's length when the crew started working was 53 miles.
Step-by-step explanation:
) Find the coordinates of the point A' which is the symmetric point
A(3. 2) with respect to the line 2.x + y - 12 = 0.
Let, coordinate of point A' is (x,y).
Since, A' is the symmetric point A(3, 2) with respect to the line 2x + y - 12 = 0.
So, slope of line containing A and A' will be perpendicular to the line 2x + y - 12 = 0 and also their center lies in the line too.
Now, their center is given by :
[tex]C( \dfrac{x+3}{2}, \dfrac{y+2}{2})[/tex]
Also, product of slope will be -1 .( Since, they are parallel )
[tex]\dfrac{y-2}{x-3} \times -2 = -1\\\\2y - 4 = x - 3\\\\2y - x = 1[/tex]
x = 2y - 1
So, [tex]C( \dfrac{2y -1 +3}{2}, \dfrac{y+2}{2})\\\\C( \dfrac{2y + 2}{2}, \dfrac{y+2}{2})[/tex]
Also, C satisfy given line :
[tex]2\times ( \dfrac{2y + 2}{2}) + \dfrac{y+2}{2} = 12\\\\4y + 4 + y + 2 = 24\\\\5y = 18\\\\y = \dfrac{18}{5}[/tex]
Also,
[tex]x = 2\times \dfrac{18}{5 } - 1\\\\x = \dfrac{31}{5}[/tex]
Therefore, the symmetric points is[tex]A'(\dfrac{31}{5}, \dfrac{18}{5})[/tex] .
Your friend solved 7.15 + (-12.76) = 19.91. Are they correct? Explain your reasoning.
Answer:
he is not correct
correct answer is -5.61
Step-by-step explanation:
he added them together but did not account for the negative in the second term
Answer:
they are not correct because 7.15 + (-12.76) equals −5.61 not 19.91
Step-by-step explanation:
hope this helps
WHAT IS THE ANGLE MEASUREMENTS?? AND TELL ME HOW YOU GOT IT.
PLEASE ANSWER !! ILL GIVE BRAINLIEST !!
50 POINTS !!
FAKE ANSWERS WILL GET REPORTED .
A path is partially modeled by the function g(x) = x(x-3)(x + 6). What are the zeros of this polynomial function?
Answer:
[tex]x=(x-3)(x+6)[/tex]
What is the range of the given data set?
[tex]\boxed{\huge\textsf{\boxed{\frak{Hey \ there!}}}}[/tex]
[tex]\bullet\large\textsf{ To find out the range you have to find the difference between the}\\\large\textsf{maximum and the minimum.}[/tex]
[tex]\bullet \large\textsf{ Reminder: the word difference in mathematics simply means subtract.}\\\large\textsf{So, if your teacher/anyone asks you what does it mean in math, tell}\\\large\textsf{them it is another word for subtraction.}[/tex]
[tex]\bullet\large\textsf{ The formula is: \underline{maximum} - \underline{minimum} = \boxed{\bf range}}[/tex]
[tex]\bullet \large\text{ Whereas, the MAXIMUM IS the GREATER/LARGER NUMBER.}\\\large\text{\& MINIMUM IS the LESS/SMALLER NUMBER.}[/tex]
[tex]\boxed{\star}\large\textsf{ Okay now lets answer your question }\boxed{\star}[/tex]
[tex]\square\large\text{\underline{ MAXIMUM}: \boxed{\bf 21}}[/tex]
[tex]\square\large\text{\underline{ MINIMUM:} \boxed{\bf 15}}[/tex]
[tex]\huge\textsf{21 - 15 = \boxed{your \ range}}[/tex]
[tex]\large\text{SIMPLIFY ABOVE \& YOU HAVE YOUR ANSWER}[/tex]
[tex]\huge\textsf{21 - 15}[/tex]
[tex]\huge\textsf{= 6}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: range = \bf 6}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\boxed{\huge\text{\boxed{\frak{Amphitrite1040:)}}}}[/tex]
PLEASE HELP ME PLEASE !
Not hard !
Answer:
2.98
Step-by-step explanation:
Show instructions
Question 1 (1 point)
The base of the rectangular prism is shaded in the sketch below. What is the lateral surface area of
the rectangular prism?
15 cm
28 cm
34 cm
A 1,904 cm
B 1,860 cm?
C 3,764 cm?
D 14,280 cm?
shdudbdhxbdhxbsbdyshs
Answer:
C 3674cm²
Step-by-step explanation:
1) (34×15)×2= 510×2= 1020cm²
2) (28×15)×2= 420×2= 840cm²
3) (34×28)×2= 952×2= 1904cm²
4) Total of all areas (surface area): 1020+840+1904= 3764cm²
What is the slope of the line perpendicular to: y= −1/3x −5
Answer
1/3
Step-by-step explanation:
You put $939 into an investment at 8% for 6 years. What will the balance be at the end of 6 years?
Answer:
At simple interest it will be 939+939×6×0.08=$1389.72.
Step-by-step explanation:
Can y’all help me on question 34?!
Does anyone have these answers??????? Lesson 2: Angles and the Unit Circle
Algebra 2 B Unit 7: Periodic Functions and Trigonometry
Answer:
145
Step-by-step explanation:
90+55=145
Sara can finish 5 laps around the track in 6 minutes. What is her average speed in miles per hour, if it takes 12 laps around the track to run a mile?
9514 1404 393
Answer:
4 1/6 miles per hour
Step-by-step explanation:
6 minutes is 1/10 hour, so Sara's speed is ...
speed = distance/time
speed = (5/12 mi)/(1/10 h) = 50/12 mi/h
speed = 4 1/6 mi/h
Sara's speed is 4 1/6 miles per hour.
Match each expression on the left with an equivalent expression on the right. Not all of the options on the right will be used.
361,000
1,400
100 x 14
14(10)
361 - 1000
100(361)
36, 100
14,000
3,610
140
On solving the provided question, we can say that on matching the expressions are 100X 14 = 1400 and 14(10) = 140 and 361 . 100 = 36100 and 100(361) = 36100
what is expression ?In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.
so, on matching the expressions are
100X 14 = 1400
14(10) = 140
361 . 100 = 36100
100(361) = 36100
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Find Y
Special right triangles
Please last question of the day!! Due very soon please help!!!
Answer:
[tex] \sin(30) = \frac{y}{2 \sqrt{2} } \\ \\ < = > \frac{1}{2} = \frac{y}{2 \sqrt{2} } \\ < = > y = \frac{2 \sqrt{2} }{2} \\ \\ < = > y = \sqrt{2} [/tex]
Answer:
y= √2
Step-by-step explanation:
sin 30°= y/2√2
1/2= y/2√2
y=√2
if the radius of the base is 2 cm and the height is 24cm what is the volume?
pleaaaseeee help faassttttt i lost my calculator also my brain stopped working[tex]\sqrt{25} =?[/tex]
Answer:
The [tex]\sqrt{25}[/tex]= 5
Step-by-step explanation:
Where did Nathan make a mistake?
In Step 1, Nathan did not multiply
both terms in parentheses by-3.
In Step 2, Nathan did not simplify
5x 3x correctly.
In Step 3, Nathan did not divide
by the correct number.
In Step 4, Nathan did not simplify
correctly.
<->) -24
8
Answer:
The question is not detailed enough
Answer:
In step 2, Nathan did not simplify 5x - 3x correctly.
Step-by-step explanation:
In step 2, Nathan was one number off the correct simplification.
please help with geometry proof
Answer:
a and c are both congruent to each other i just learned about rhombuses the other day so if a and c are congruent then b and d are congruent too
What is the first step in evaluating the expression shown below?
12 ÷ (7.4 – 3.6) + 8 – 2
Subtract 7.4 – 3.6.
Divide 12 ÷ 7.4.
Add 3.6 + 8.
Subtract 8 – 2.
Answer:
Subtract 7.4 – 3.6
Answer:
Subtract 7.4-3.6
Step-by-step explanation:
Pemdas
PLEASE help test due !!!!
Use the two-way frequency table to answer questions #14-19
Answer:
14. 1/13
15. 14/15
16. 1/13
17. 15/30=1/2
18. 12/13
19. 12/15
If you are happy with my answers, please give brainliest :)
what is the slope of the line given by the equation 2x+3y=6
Step-by-step explanation:
Rearrange the terms by writing
3y = -2x + 6 ---> y = (-2/3)x + 2
The slope of this equation is m = -2/3
A company sells apples in packages of 4. The masses of the individual apples are normally distributed with a mean of 175g, and a standard deviation of 15g, . Assume that the weights of apples are independent from each other.
Let T=T equals the total weight of 4 randomly selected apples
Find the probability that the total mass is less than 685g.
You may round your answer to two decimal places.
Answer: P (T< 685) ≈ 0.31
Step-by-step explanation:
What is the solution to the equation? x+17=43
Hi there!
[tex]\large\boxed{x = 26}[/tex]
x + 17 = 43
Isolate for x by subtracting 17 from both sides:
x + 17 - 17 = 43 - 17
x = 26
Answer:
x=26
Step-by-step explanation:
x+17=43
-17. -17
x= 26
What is the measure of x?
DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever answers correctly will get Brainliest! :))
Answer:
A
Step-by-step explanation:
the sum of the two angles is 90 degrees
x + 52 = 90
x = 38 degrees