9514 1404 393
Answer:
a) 7b) -27c) 18d) 8e) 2f) 1Step-by-step explanation:
The limit of any polynomial function at a point is the value of the polynomial at that point. A polynomial is defined and continuous for all values of the independent variable.
The limit of a rational function at a "hole" is the value of the simplified function at that point.
1a) lim = 4+3+2-2 = 7
1b) lim = (3)(-3)(3) = -27
1c) lim = 3^2+9 = 18
1d) lim = (x+4) = 4+4 = 8
1e) lim = 3x+1 = 3(1/3) +1 = 2
1f) lim = x^2/x^2 = 1
_____
The expressions of (e) and (f) can be simplified by factoring the difference of squares: a^2 -b^2 = (a -b)(a +b). In each case, one of the factors cancels the one in the denominator, so the remaining function can be evaluated at the limit point.
As x approaches infinity, the only terms of a rational expression that matter are those of the highest degree in numerator and denominator. (There's a little more to it if the numerator has a higher degree than the denominator.)
What's the area of the quarter circle if the diameter is 3 inches?
Answer:
Area of the full circle(A)= pi*d^2/4
A=3.143*3^2/4
A=7.07in^2
Area of the Quarter of the circle(B)
B=1/4A
B=1.77in^2
Step-by-step explanation:
PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP
I WILL GIVE A BRAINLIEST TO WHOEVER ANSWERS RIGHT
what is the square root of 2.4 divided by the reciprocal of 3 , divided by 0.483?
My answer is 1.192 I hope this helps u
Answer:
9.622318872565011
Step-by-step explanation:
The square root of 2.4 is a very long decimal, but here it is: 1.549193338482967
And if you divide it by the reciprocal of 3, (which is 1/3) it would basically be multiplying by 3. So:
1.549193338482967 x 3= 4.6475800154489
Finally, divide it by 0.483:
9.622318872565011
Tip: you should use a calculator on questions like these.
My last one please help me
Answer:
Step-by-step explanation:
Only D has a chance of being correct. 7x means you multiply 7 and whatever x is together.
A and B look like they are added.
C looks like some sort of subtraction has taken place.
D: - 1 * 7 = - 7
4*7 = 28
5*7 = 35
I need help with this please!!!!! Can someone explain how to solve this step by step please!!!!! It’s due very soon so I need to finish it!!
Answer:
Is this a test
Step-by-step explanation:
Rite the phrase as an expression. Then evaluate when y=20. 3 less than the quotient of a number y and 4 Expression: When y=20, the value of the expression is .
Answer:
[tex]\frac{y}{4} - 3[/tex]
[tex]\frac{y}{4} - 3 = 2[/tex] -- when y = 20
Step-by-step explanation:
The quotient of y and 4 can be represented as:
[tex]\frac{y}{4}[/tex]
3 is less the above expression is:
[tex]\frac{y}{4} - 3[/tex]
So, the required expression is: [tex]\frac{y}{4} - 3[/tex]
When y = 20, we have:
[tex]\frac{y}{4} - 3 = \frac{20}{4} - 3[/tex]
[tex]\frac{y}{4} - 3 = 5 - 3[/tex]
[tex]\frac{y}{4} - 3 = 2[/tex]
Answer:
555
Step-by-step explanation:
edge test 100%
1. Which polygon or polygons are regular?
The polygons that are regular are:
Triangle, Parallelogram, and Square.
Options A, B, and C are the correct answer.
What is a cube?It is a polygon having six faces.
The volume of a cube is side³.
We have,
A regular polygon is a polygon where all the sides are equal and the interior angles are equal.
Now,
Figure 1 is a triangle.
Figure 2 is a parallelogram.
Figure 3 is a square.
Figure 4 does not have the same side and the same interior angles.
Thus,
Figure 4 is not a regular polygon.
Learn more about cubes here:
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8•1 and 8
pls need help ASAP
Answer: Yes the two expressions are equal because 8 times 1 is 8
8 = 8
Step-by-step explanation: hope this helps
the ratio of PHP 600 to 12 hours
Answer:
50:1
Step-by-step explanation:
600/12
1 hour for every 50 PHP
Determine the value of x.
Answer:
The value of x is 14.75 ⇒ (2)
Step-by-step explanation:
If the vertices of a quadrilateral lie on the circumference of a circle, then this quadrilateral is a cyclic quadrilateralIn the cyclic quadrilateral, every two opposite angles are supplementary (the sum of their measures is 180°)In the given figure
∵ The vertices of the quadrilateral BCED lie on the circumference of circle A
→ By using the 1st rule above
∴ BCED is a cyclic quadrilateral
∵ ∠B and ∠E are opposite angles in the cyclic quadrilateral BCED
→ By using the 2nd rule above
∴ m∠B + m ∠E = 180°
∵ m∠B = 6x + 10
∵ m∠E = 81.5°
∴ 6x + 10 + 81.5° = 180°
→ Add the like terms on the left side
∴ 6x + 91.5 = 180
→ Subtract 91.5 from both sides
∵ 6x + 91.5 - 91.5 = 180 - 91.5
∴ 6x = 88.5
→ Divide both sides by 6 to find x
∴ x = 14.75
The original price of last year's gaming system was $699. It is now selling at a 19% discounted price. What is the sale price?
Answer:
$566.19
Step-by-step explanation:
If there is a 19% discount, the product is selling at 100-19=81% of the original price. Multiply and you get- 699*(81/100)=566.19 :)
I need help, I am not familiar with this.
Answer:
the first did it correct
Step-by-step explanation:
Solve for y.
3/11=6/y
[tex]y = 22[/tex]
EXPLANATIONMultiply both sides by y × 11
[tex]3y = 6 \times 11[/tex]
Solve a solution to y
[tex]y = 22[/tex]
HopeItHelps you
HELLO URGENT PLS HELP ME WITH THIS
Directions: Prepare adjusting entries for the following; take note that the company is using the calendar year.
1. The cost of electricity used for the month of December 2018 is P4,000. The electricity bill was received and paid in January 2019.
2. Employees earned total salaries of P100,000 in December 2018. However, the salaries were paid only in January 2019.
Answer:
try subtracting 1000,000-40000. I may be wrong
REEEEEEEEEEEEEEEEE I need help plz ;-;
Answer:
Step-by-step explanation:
150 ft in 30 seconds
150/30=5 we have 5 ft per second
in 10 seconds 5*10=50 ft
choice C
Answer:
C: y=5x; 50
Step-by-step explanation:
Dividing 130 by 5 tells you that they travel 5 feet per second.
So,
y=5x
y=5(10)
50
Need help asap please
Answer: it is B. 39t + 54
Step-by-step explanation:
9(4t + 6) + 3t --- (distribute the 9 to 4t and 6 (9(4t) + 9(6))
36t + 54 + 3t --- (combine like terms, 36t + 3t)
39t + 54
Simplify the polynomial using multiplication.
−5b(2a−3a2)
−10a+3ba^2
−10ba+15ba^2
−5b+2a−3a^2
10ba−15ba^2
Answer:
−10ba+15ba^2
Step-by-step explanation:
The product of the given monomial and binomial is -10ab+15a²b.
The given expression is −5b(2a−3a²).
We need to simplify the polynomial using multiplication.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Binomials are also a kind of polynomials consisting of only two terms. A binomial is defined as an algebraic expression consisting of two terms that are separated by the arithmetic signs, either the addition sign (+) or the subtraction sign (-). When multiplying a monomial by a binomial, we follow the distributive law of multiplication.
Now, 2a×(−5b)−3a²×(−5b)
=-10ab+15a²b
Therefore, the product of the given monomial and binomial is -10ab+15a²b.
To learn more about the multiplication of polynomials visit:
https://brainly.com/question/17419800.
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Two snakes race the speed of the first is 24 1/2 inches per minute and the speed of the other is 26 inches per minute how far apart with they be in 3 min? 10 min?
Answer:
In 3 min = 4 1/2
10 min = 15
If you multiply both of the snakes speed by the specific amount of minutes and then subtract both of the sums you'll get the answer :)
1. Find the volume of the cylinder. (no units-round to nearest tenth
7 km
8 km
Answer:
1407.43 would be your answer
Step-by-step explanation:
The formula is [tex]\pi r^2h[/tex], so plug 8 and 7 into the equation, and you'll get your answer. Hope this helps :)
Can someone Help me with this ? :C and put in the Workings
Calculate the following by long or short division. Give your answers to TWO decimal places.
1.
[tex]456 \div 2[/tex]
2
[tex]538 \div 7[/tex]
Answer: 1. [tex]456\div2 =228[/tex] 2. [tex]538\div7=76.85[/tex]
Step-by-step explanation:
The given division problems :
[tex]1.\ 456\div2[/tex]
[tex]2.\ 538\div7[/tex]
By long division (see the attachment)
1. Divisor= 2
Dividend =456
Quotient = 228
Remainder =0
So, [tex]456\div2 =228[/tex]
2. Divisor= 7
Dividend = 538
Quotient =76.85
so, [tex]538\div7=76.85[/tex]
12x=-4y-8 in slope-intercept form
Answer:
x=-y
Step-by-step explanation:
Jim is experimenting with a new drawing program on his computer. He created quadrilateral TEAM with coordinates T(- 2, 3), E(- 5, - 4), A(2, - 1) , and M(5, 6) . Jim believes that he has created a rhombus but not a square. Prove that Jim is correct.
Answer: yes Jim is correct
Each side of the quadrilateral is congruent. Then the quadrilateral is known as the rhombus.
What is a quadrilateral?The quadrilateral has four sides and four angles. The sum of internal angles is 360 degrees.
If all the sides of the quadrilateral are congruent then the quadrilateral may be a square or rhombus.
If none of the angles of that quadrilateral is equal to 90 degrees. Then the quadrilateral is known as a rhombus.
Jim is experimenting with a new drawing program on his computer. He created quadrilateral TEAM with coordinates T(- 2, 3), E(- 5, - 4), A(2, - 1) , and M(5, 6) .
The diagram is given below.
From the diagram, each side of the quadrilateral is congruent. Then the quadrilateral is known as the rhombus.
More about the quadrilateral link is given below.
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Simplify the expression. . 1 V 3.0 2
Answer:
81x^4/16 (81x to the fourth over 16)
Step-by-step explanation:
First you apply the exponent rule: (a/b)^c -> a^c/b^c
So it looks like this: 3x^2/4^2
Then you apply the exponent to the whole thing, and 3^4 is 81, x^4 stays like that, and 2^4 is 16
You can't simplify any more after that so that's your answer
Hope this helps!
6. Create an equation and solve for n.
5n - 11
Answer:
11-n=5
Step-by-step explanation:
Helppp againnn... please-
Answer:
Its 16/81
Step-by-step explanation:
PLZ HELP ASAP!!!Solve the inequality -20+6x>10
Answer:
x>5
Step-by-step explanation:
The equation of a curve is
[tex]y = 4x {}^{3} + 4px {}^{2} + 16x - 9[/tex]
Find the range of values of p such that y is an increasing function.
Let's solve for p.
[tex]y=4x3+4px2+16x−9[/tex]
Step 1: Flip the equation.
[tex]4px2+4x3+16x−9=y[/tex]
Step 2: Add -4x^3 to both sides.
[tex]4px2+4x3+16x−9+−4x3=y+−4x3[/tex]
[tex]4px2+16x−9=−4x3+y[/tex]
Step 3: Add -16x to both sides.
[tex]4px2+16x−9+−16x=−4x3+y+−16x[/tex]
[tex]4px2−9=−4x3−16x+y[/tex]
Step 4: Add 9 to both sides.
[tex]4px2−9+9=−4x3−16x+y+9[/tex]
[tex]4px2=−4x3−16x+y+9[/tex]
Step 5: Divide both sides by 4x^2.
4px² / 4x² = −4x³ − 16x + y + 9 / 4x²
Answer:
p = −4x³ − 16x + y + 9 / 4x²
f(x) = 3x² + 4x – 6
g(x) = 6x3 – 5x2 – 2
Find (f – g)(a).
Step-by-step explanation:
(-6x^3+8x^2+4x-4)
option D is correct answer
Answer:A
Step-by-step explanation:
I dont understand pls help me
Answer:
the answer is the option B 35
Step-by-step explanation:
first, add 4 and 3. you will get 7. Next, multiply 7 by 5 and you will get the answer :35
[tex]5(3 + 4) \\ 5(7) \\ 35[/tex]
A line passes through the point ( -10, 4) and has a slope of 1/2
Write an equation in point slope form for this line,
Answer:
[tex]y-4=\frac{1}{2} (x+10)[/tex]
Step-by-step explanation:
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] when the given point is [tex](x_1,y_1)[/tex] and the slope is [tex]m[/tex]
[tex]y-y_1=m(x-x_1)[/tex]
Plug in the point (-10,4)
[tex]y-4=m(x-(-10))[/tex]
Two negatives make a positive
[tex]y-4=m(x+10)[/tex]
Plug in the slope
[tex]y-4=\frac{1}{2} (x+10)[/tex]
I hope this helps!
A bouncy castle can be hired for party's. The cost is given by Cost=£4.70 times number of children + £86. What is the cost of the bouncy castle for 13 children. At a different party, the cost of hiring the bouncy castle was £165.90.How many children went to the party.
Answer:
A. £147.10
B. 17 children
Step-by-step explanation:
Let
Number of children = x
Cost of hiring a bouncy castle = £4.70 * x + £86
What is the cost of the bouncy castle for 13 children
Cost of hiring a bouncy castle = £4.70 * 13 + £86
= £61.1 + £86
= £147.10
How many children went to the party when cost of hiring bouncy castle = £165.90
Cost of hiring a bouncy castle = £4.70 * x + £86
£165.90 = £4.70 * x + £86
165.90 = 4.70x + 86
165.90 - 86 = 4.70x
79.9 = 4.70x
x = 79.9/4.70
= 17
x = 17 children