Find the limit of the function by using direct substitution. limit as x approaches three of quantity x squared plus three x minus one.

17
0
-17
does not exist

Answers

Answer 1

Answer:

17

Step-by-step explanation:

Given the limit of a function expressed as;

[tex]\lim_{x \to 3} x^2 + 3x - 1[/tex]

Substitute x = 3 into the function to have;

[tex]= 3^2 + 3(3) - 1\\= 9 + 9 -1 \\= 18 - 1\\= 17[/tex]

Hence the limit of the function as x tends to 3 is 17


Related Questions

PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!!

Answers

Answer:

B

Step-by-step explanation:

B is correct...

The area of the rectangle below is 18 square units. What is the width of the rectangle? Write and solve a division equation to find the width of the rectangle.

Answers

Answer:

24/5 or 4 and 4/5

Step-by-step explanation:

3 and 3/4=15/4

18 divided by 15/4=4 and 4/5

4 and 4/5=24/5

24/5 times 15/4=18

Answer:

I agree with the person above but I'm not so sure.

I thought I could do this myself but failed, can someone please help me answer this and show work so I can know what to do for future reference. I would like to complete this seeing how this is my last question of the week.

Answers

Answer:

area: 1070

perimeter: 434 units

Step-by-step explanation:

area:

- use pythagoream theorem to find the height, which is gonna be 84

- from there, you're gonna wanna find the area of the rectangle and then the two triangles. the way i do it is by just finding the area of the rectangle first, 100x84 = 8400, and then finding the area of the triangles (35x84/2 = 1470 and 20x84/2 = 840)

- you have the area of all shapes, now just add them together (8400+1470+840 = 10710)

perimeter:

just add all the lengths given together.

Hal put $3000 into a savings account that earns 6% interest. After 6 years, what will be the total amount of money in his savings account?

Explain for BRAINLIST.

Answers

Answer:

6000

Step-by-step explanation:

so you have to divide 3000 and 6 to get 500

next you would do  500 times 6 equals = 3000

so now you would plus them and get 6000

now that is your answer

please give me branlyiest

Which expression is equivalent to2(t-4)+1

Answers

Answer:

2t-7

Step-by-step explanation:

2(t-4)+1

2t -8+1

2t - 7

Can y’all help with geo?

Answers

Here's the solution,

figure 1.

by using trigonometry,

=》

[tex] \sin(60) = \dfrac{5 \sqrt{3} }{y} [/tex]

=》

[tex] \dfrac{ \sqrt{3} }{2} = \dfrac{5 \sqrt{3} }{y} [/tex]

=》

[tex] \dfrac{1}{y} = \dfrac{ \sqrt{3} }{2 \times 5 \sqrt{3} } [/tex]

=》

[tex] \dfrac{1}{y} = \dfrac{1}{10} [/tex]

=》

[tex]y = 10[/tex]

And,

=》

[tex] \cos(60) = \dfrac{w}{y} [/tex]

=》

[tex] \dfrac{1}{2} = \dfrac{w}{10} [/tex]

=》

[tex]w = 5[/tex]

So, values are :

y = 10w = 5

figure 2.

Since, it's an isosceles triangle, w = y,

So, by pythagoras theorem :

=》

[tex] {w}^{2} + {y}^{2} = (7 \sqrt{2} ) {}^{2} [/tex]

=》

[tex] {w}^{2} + {w}^{2} = 98[/tex]

=》

[tex]2 {w}^{2} = 98[/tex]

=》

[tex] {w}^{2} = 49[/tex]

=》

[tex]w = \sqrt{49} [/tex]

=》

[tex]w = 7[/tex]

and we know, w = y, so their values will be equal to 7 units.

i have no idea what to do, someone pleasehelp.. please just give the straight forward equation and answer. thank you, 33 points to whoever does it

Answers

Answer:

Coordinates (1,6)

Equation x=1

Step-by-step explanation:

Center of highest point is 1 on the x and 6 on the y

If p=9 and q=30, evaluate the following expression:p−q/3​

Answers

Answer:

-1

Step-by-step explanation:

p = 9

q = 30

p - q/3

9 - 30/3

9 - 10

-1

what power do I need to raise both sides of the following equation to? x^4=81

Answers

Answer:

Rise it to 2

( x ^2 ) ^2 − 9 ^2 = 0

Step-by-step explanation:

Which category best describes the group of shapes

Answers

Answer:

Parallelograms

Step-by-step explanation:

hey can you help me fast!!

Answers

Answer:

-10 / -2/5

Step-by-step explanation:

-10 / -2/5 = 25

25 is greater than 10

Solve the equation: 5.4 -7.5 -6.3 = Solve the equation:​

Answers

The answer would be -8.4.

Answer:

[tex]5.4 - 7.5 - 6.3 = 5.4 - 13.8 \\ = - 8.4[/tex]

Find the slope of the line through each pair of points using the formula.
(17, -19) (4, -15)

Answers

Answer:

-4/13

Step-by-step explanation:

(17 , -19)  ; (4 , -15)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

          [tex]= \frac{-15-[-19]}{4-17}\\\\=\frac{-15+19}{4-17}\\\\=\frac{4}{-13}\\\\= \frac{-4}{13}[/tex]

Answer:

- 4 / 13

Step-by-step explanation:

Algebra work is easy :)

good luckkk

Can someone help me on this plzzz

Answers

Answer:

b=15

How I got it:

32 + (7x4) = 32 + 28 = 60

60 divided by 4 = 15

Checking:

15 - 7 = 8

8 x 4 = 32

32 = 32

You can tell b = 15 is the correct answer.

Vertical lines have _________ slope.

Answers

Try drawing a vertical line on a graph
The line would be going straight but unmoving
Slope = rate of change

Vertical lines have undefined slope

Mr. Davis is packing a box with books. The box is a rectangular prism with the 2 ft 3 ft 2 ft What is the volume of the box?

Answers

Answer:

12 ft^3

Step-by-step explanation:

Given data

Dimension

Lenght= 2ft

Width= 3ft

Height= 2ft

The expression for the volume is

Volume= L*W*H

Substitute

V= 2*3*2

V= 12 ft^3

Hence the volume of the box is 12 ft^3

30 POINTSSSS ANSWER CORRECTLY THE LAST GUY TROLLED :/

Answers

Answer:

1.

A: Rectangular prism

B: Square pyramid

C: Triangular prism

2.

A: 82 square units

B: 48 square units

C: 48 square units (again)

Somehow Nets B & C have the same surface area.

Step-by-step explanation:

2A:

2(6 * 5) + 2(5) + 2(6)

2(30) + 10 + 12

60 + 22

82 square units

2B:

4((4 * 4)/2) + (4 * 4)

4(16/2) + 16

4(8) + 16

32 + 16

48 square units

2C:

2((3 * 4)/2) + (3 * 3) + (3 * 4) + (3 * 5)

2(12/2) + 9 + 12 + 15

12 + 9 + 27

12 + 36

48 square units

Sam paid $8.28 for 18 stamps. At this rate, how much would it cost Sam to buy 12 stamps?

Answers

Answer: $5.52

Step-by-step explanation:

Given: Sam paid $8.28 for 18 stamps.

Thus, the cost of 18 stamps = $8.28

Then the cost of 1 stamp=

Thus, the cost of 1 stamp=$0.46

With the same rate , the cost of 12 stamps=

Therefore, the cost of 12 stamps= $5.52

hence, it costs $5.52 to Sam to buy 12 stamps.

8.28÷18 = 0.46

0.46 is the cost if 1 stamp

cost of 12 stamps= 0.46×12 = $5.52

happy to help :)

Jack invested $2,900 in an account paying an interest rate of 8 % compounded
annually. Anthony invested $2,900 in an account paying an interest rate of 82%
compounded continuously. After 10 years, how much more money would Anthony
have in his account than Jack, to the nearest dollar?

Answers

Answer: $628

Step-by-step explanation:

Find the trigonometric ratios as simplified fractions and as decimals to the nearest thousandths (as necessary).



Sin X: Fraction_______ Decimal_______

Cos X: Fraction_______ Decimal______

Tan X: Fraction__________ Decimal______

Answers

Step-by-step explanation:

by using Pythagoras law

ZY=√{45²-27²)=36

sin X=ZY/XY=36/45=0.8

Cos X=XZ/XY=27/45=0.6

Tan X= YZ/XZ=36/27=1.33

Help please I’ll give brainliest

Answers

X=20 because 28/7 is 4 and 5*4 is 20
x=20 bc 7x4=28 therefor 5x4=20

You have 7 donuts to share evenly among you and your three brothers. Which equation describes how many donuts each of you will receive? Choose 1 answer: Choose 1 answer: 7÷4= 7/4 7÷3=7/3 3÷7=3/7 4÷7=4/7

Answers

Answer:

7/3

Step-by-step explanation:

Since you have seven donuts to share with three brothers, you can calculate that each one of you will get 2 donuts and there will be a spare one left. You know that you also have to share that one so you split it into thirds. 7/3 = 2 1/3

Hope I helped!

Brainliest? :o

Keywords: donuts, donut, brother, equation, receive

It’s 7/4 because it’s You AND your 3 brothers

Type a digit that makes this sentence true !!!

Answers

Answer:

any number between 83 and 0. [tex]0\leq x\leq 83[/tex]

Step-by-step explanation:

the number 1,548.4484 has the last two digits of 84.

And since the number has to be less than the other number and you can only switch the last two digits in the decimal's place. It has to be less than 84

Hope that helps :)

Answer:

the digit is 4, because that has 4484 but just put 4444

George invested $18,500 five years ago and unfortunately the investment has been losing 6% of its value each year. What is the current value of his investment? Round to the nearest cent.

Answers

Answer:

$13,577.22

Step-by-step explanation:

Multiply 18,500 by 0.94 for each year

The length of the base of an isosceles triangle is x. The length of a leg is 2x - 2. The perimeter of the triangle is 51. Find x.

Answers

Answer:

x = 11

Step-by-step explanation:

x + 2(2x-2) = 51

x + 4x - 4 = 51

5x - 4 = 51

5x = 55

x = 11

Answer:

x = 11

Step-by-step explanation:

2x - 2 + 2x - 2 + x = 51

5x - 4 = 51

5x = 55

x = 11

Find the area of the smaller sector.
brainlest

Answers

Answer:

44.68 m²

Step-by-step explanation:

Area of a sector = θ/360*πr²

Where,

θ = 80°

r = 8 m

Plug in the values into the equation

Area of the sector = 80/360*π*8²

= 44.6804288 ≈ 44.68 m² (nearest hundredth)

Please help.
Is algebra.

Answers

Answer:

B

Step-by-step explanation:

The first one is a binomial. It has two different terms on either side of the middle minus sign. y is raised to the 4 th power so that is degree 4. The answer is b

The second problem is ordered as 4 3 1 2

The powers determine the degree. The terms are all different and the number of terms is determined by the powers of the letters in the terms.

Answer:

Step-by-step explanation:

Find x and y
Show all the work

Answers

Answer:

x=27°

y=4 units

Step-by-step explanation:

To find x:

The sum of all the angles in a quadrilateral is 360°. In a rhombus (you know it's a rhombus because it's a quatrilateral where all the sides are congruent), opposite angles are congruent. Because you're given that the measure of ∠T is 127°, you also know that m∠V=127°. You also know that m∠U=m∠S=(2x-1)°.

Using this information, set up an equation.

127+127+(2x-1)+(2x-1)=360

You can just divide both sides by 2 to get:

127+(2x-1)=180

Then, just solve for x.

127+2x-1=180

2x+126=180

2x=54

x=27°

To find y:

All the sides are given to be congruent. That's what the little marks on the sides mean, and that's how we knew it was a rhombus earlier.

So SV=VU=UT=TS

SV=6y-5

VU=3y+7

Since SV=VU:

6y-5=3y+7

Solve for y.

3y=12

y=4

Hope I could help!

Ms. Nelson has 8 pounds of ground beef. She is making burgers that are ¼ pound each.

Answers

Answer:

she will make 32 burger patties.

One way:

8 x 4 = 32

the fraction will get reversed so it turns to 4.

Second way(basically the same as the first way):

8 divided by 1/4 = 8 x 4= 32

You just have to divide 8 by 1/4. The fraction gets reversed in divisions so it turns to 4.

Answer:

ok the answer is...

Step-by-step explanation:

32!!

the reason for this is because 1/4 + 1/4 + 1/4 + 1/4 = 4!

so do that again all over again 8 times and you have your answer.

(9 x 10^6) + (8 x 10^{-4})

Answers

i think it would be 9000000.0008
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