Directions: Compare the sides and angles by filling in the blank with a < or > symbol.

Answer:

The answer is A.15c+3

Step-by-step explanation:

The solution to the limit expression [tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} [/tex] is 6

The limit expression is given as:

[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5}[/tex]

Express 25 as 5^2

[tex] \lim_{x \to 1} \frac{x^2 - 5^2}{x - 5}[/tex]

Express the numerator as the difference of two squares

[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = \lim_{x \to 1} \frac{(x - 5)(x +5)}{x - 5}[/tex]

Evaluate the quotient

[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = \lim_{x \to 1} (x +5)[/tex]

Remove bracket

[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = \lim_{x \to 1} x +5\\ [/tex]

Substitute 1 for x

[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = 1 +5[/tex]

[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = 6[/tex]

Hence, the solution to the limit expression [tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} [/tex] is 6

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Answer:

The answer is B

Step-by-step explanation:

plug 2 into x to see

A.

x^2 + 8

2^2 + 8

4 + 8 = 12

B.

3x^2 + 1

3(2)^2 + 1

3(4) + 1

12 + 1 = 13

C.

2x^3 + 5

2(2)^3 + 5

2(8) + 5

16 + 5 = 21

D.

x^2 + x

2^2 + 2

4 + 2 = 6

Answer:

B) 0.1

Step-by-step explanation:

The prefix "deci-" means "tenth", so a decigram would be one-tenth of a gram (or 0.1 grams). Therefore, option B is correct.

U' = x - 6 , y + 6

U' = ( - 5 - 6 ) , ( 1 + 6 )

U' = ( - 11 ) , ( 7 )

U' = - 11 , 7

Answer:

6

Step-by-step explanation:

Two triangles are congruent so we can use the similarity ratio to find the length of XZ

8x - 10 = 5x - 4 export like terms to the same side of equation

8x - 5x = 10 - 4

3x = 6 divide both sides by 3

x = 2 and so the length of XZ is 8*2 - 10 = 6

Answer:

ANSWER: Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.

Step-by-step explanation:

convert all % to decimals

0.06 x 21 = $1.26 tax

0.15 x 21 = $3.15 tip

1.26 + 3.15 = $4.41 added payment

4.41 + 21 = = $25.41 total bill

(yes i am aware i did the method differently since i learned it another way but the answer should till be correct.)

Answer:

Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents. Otherwise B.

Answer:

the domains is

[tex] - 10 < x \leqslant 10[/tex]

Answer:

It is an example of a nonlinear function.

Step-by-step explanation:

Use a graphing calculator or graph the points and try to make a line, as it will not work

Answer:

4,-1

Step-by-step explanation:

Please like!♥

Answer:

Question!! What is the relationship between A and B?

Step-by-step explanation:

Answer:

i think 4x+3y = -24 is answer

Answer:

x = -7

Step-by-step explanation:

The 2 horizontal lines are parallel as given ion the problem.

The x + 97 angle is congruent to the right angle.

x + 97 = 90

x = -7

~nightmare5474~

[tex]2\frac{2}{3} + 3\frac{1}{3} + 1\frac{2}{3} = 7\frac{2}{3} [/tex]

let's convert each mixed fraction into improper fractions. Therefore,

Improper fractions are fractions that has the numerator bigger than the denominator.

[tex]2\frac{2}{3} = \frac{8}{3} [/tex]

[tex]3\frac{1}{3} = \frac{10}{3} [/tex]

[tex]1\frac{2}{3} = \frac{5}{3} [/tex]

Therefore,

[tex]\frac{8}{3} + \frac{10}{3} + \frac{5}{3} [/tex]

[tex] \frac{8}{3} + \frac{10}{3} + \frac{5}{3} = \frac{8 + 10 + 5}{3} = \frac{23}{3} [/tex]

Let's convert our answer back to mixed fractions

[tex]\frac{23}{3} = 7\frac{2}{3} [/tex]

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Answer:

x ≈ 41.6°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{JK}{KL}[/tex] = [tex]\frac{80}{90}[/tex] = [tex]\frac{8}{9}[/tex] , then

x = [tex]tan^{-1}[/tex] ( [tex]\frac{8}{9}[/tex] ) ≈ 41.6° ( to the nearest tenth )

Answer:

1. 1[tex]\frac{1}{2}[/tex]

2. 1[tex]\frac{3}{10}[/tex]

3. [tex]\frac{1}{3}[/tex]

4. 1[tex]\frac{2}{7}[/tex]

Step-by-step explanation:

I hope this helps!!

Answer:

I think there answer is 4.74

Step-by-step explanation:

so you divide

[tex]6 \div 28.44 \: and \: you \: get \: answer[/tex]

Answer:

Convert to the form of fundamental theorem

[tex]y = \int_{1-6x}^1 \frac{u^3}{1+u^2}du= -\int\limits^{1-6x}_1 {\frac{u^3}{1+u^2} } \, du[/tex]

Step-by-step explanation:

Now, you can apply the theorem, that is [tex]y'= f(1-6x) \times (1-6x)' = -6 \frac{(1-6x)^3}{(1+(1-6x))}[/tex]

Simplify!!

Answer:

192

Step-by-step explanation:

The 7 part of the ratio relates to Taylor's 84 CDs

Divide the amount by 7 to find the value of one part of the ratio.

84 ÷ 7 = 12 ← value of 1 part of the ratio, then

9 parts = 9 × 12 = 108 ← number of CDs Dave has

Total CDs = 84 + 108 = 192

Answer:

Step-by-step explanation:

     f(x) = x² - 2x + 5

1)   f(2) = (2)² - 2(2) + 5 = 5

2) f(-3) = (-3)² - 2(-3) + 5 = 20

3)  f(0) = (0)² - 2(0) + 5 = 5

4) f(5) - f(-2) = (5)² - 2(5) + 5 - [(-2)² - 2(-2) + 5 = 20 - 13 = 7

5) f(1) + f(6) = (1)² - 2(1) + 5 + [(6)² - 2(6) + 5 = 4 + 29 = 33

Answer:

110

Step-by-step explanation:

there is a angle of 70 in the other side is there is a total of 180 and subtract 70 you get 110

Answer:

110

Step-by-step explanation:

Answer:

The slope (or gradient) is 0.6 and the y-intercept is 6.

There are 6 numbers on a standard die and. 5 of the numbers are less than 6.

The probability would be 5/6

The probability of getting blue and white counter is 0.2275

Probability is the likelihood or chance that an event will occur

Probability = n(E)/n(S)

If the the probability of getting a red counter red red 0.35, the probability of getting a blue will be 0.65

Pr(getting blue and white counter) = 0.35 * 0.65

Pr(getting blue and white counter) = 0.2275

Hence the probability of getting blue and white counter is 0.2275

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Answer:

p=5/2   q=3/4

Step-by-step explanation:

-4p+7q=-19/4

-12p+35q=-15/4

get rid of the value p

(-3)(-4p+7q=-19/4)

-12p+35q=-15/4  =

12p-21q=57/4

-12p+35q=-15/4  =

14q=21/2

q=  21/2  /14

q=3/4

substitute q=3/4 into an equation 1 to find p

-4p+7q=-19/4

-4p+7(3/4)=-19/4

-4p+21/4=-19/4

-4p=-19/4-21/4

-4p=-10

p=-10/-4

p=5/2

Answer:

LCD= x²- 81

Step-by-step explanation:

x²-81 is difference of two squares

a²-b²= (a+b)(a-b)

x²- 81= (x+9)(x-9)

denominators, (x-9) and (x+9)(x-9)

x-9 is common in both denominators

x-9|(x-9)|(x+9)(x-9)

x+9| 1 | x+9

| 1 | 1

therefore the LCD= (x-9)(x+9)

simplifying= x²- 81

Answer:

4/6

Step-by-step explanation:

ok so you have 2/3 for 1 group. so for 2 groups youll just have to add 2/3 + 2/3 and that gives u 4/6

Answer:

18 minutes and 45 seconds

Step-by-step explanation:

[tex]\frac{1}{50}[/tex] + [tex]\frac{1}{30}[/tex] = [tex]\frac{3+5}{150}[/tex] = [tex]\frac{4}{75}[/tex]

1 ÷ [tex]\frac{4}{75}[/tex] = [tex]\frac{75}{4}[/tex] = 18' 45''

Answer:

18.75 minutes If A and B work together