Let f(x) = StartFraction x squared minus 5 x + 4 Over x minus 1 EndFraction and g(x) = 2 Superscript x minus 3. For which value of x does f(g(x)) have a discontinuity?

Answer:

`1

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x+8<2x+2

Subtract 2x from both sides.

4x+8−2x<2

Combine 4x and −2x to get 2x.

2x+8<2

Subtract 8 from both sides.

2x<2−8

Subtract 8 from 2 to get −6.

2x<−6

Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.

x<  

2

−6  

Divide −6 by 2 to get −3.

x<−3

Hope this helps :)  

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And have an amazing day <3

Answer: x < -3

Step-by-step explanation:

Answer:

$96

Step-by-step explanation:

1/2 x + 2 = x - 2

Multiply both sides by 2

2 × ( 1/2 x + 2 ) = 2 × ( x - 2 )

x + 4 = 2x - 4

Add both sides 4

x + 4 + 4 = 2x - 4 + 4

x + 8 = 2x

Subtract both sides x

x - x + 8 = 2x - x

Answer:

1/9

Step-by-step explanation:

1) simplify the expression

Group like terms: (2-5-3) + 1/t = 3

Simplify the arithmetic: -6+1/t=3

2) Isolate the t

Multiply to both sides by t: -6+1/t=3t

Expand the parentheses: -6t+1t/t=3t

Simplify the left side: -6t + 1 = 3t

3)  Group all t terms on the left side of the equation

Subtract 3t from both sides: -6t+1-3t=3t-3t

Group like terms: -6t-3t+1=3t-3t

Simplify the arithmetic: -9t+1=3t-3t

Simplify the arithmetic: -9t+1=0t

Simplify the right side: -9t+1=0

4. Group all constants on the right side of the equation

Subtract 1 from both sides: -9t+1-1=0-1

Simplify the arithmetic: -9t=0-1

Simplify the arithmetic: -9t=-1

5. Isolate the t

Divide both sides by-9: -9t/-9=-1/-9

Cancel out the negatives: 9t/9=-1/-9

Simplify the fraction:t=-1/-9

Cancel out the negatives: t=1/9

Answer:

Step-by-step explanation:

63 grams because 21 x 3 = 63

Answer:

565.48

Step-by-step explanation:

Volume for a cylinder equation: V=π(r²)h

π(3²)20 = 565.48cm³

Answer:

here's the answer -2gf

Step-by-step explanation:

hope this helps

Step-by-step explanation:

product : 0.56×0.3 = 0.168

hope this helps you.

Answer:

Retail Price = $69

Step-by-step explanation:

Original Price = $60

Markup = %15

Retail Price = $60 + (0.15 * $60)

Solve:

We can say that 60 is 100% of 60 or 1 x 60

So the equation is:

1 x 60 + 0.15 x 60 = Retail Price

1.15 x 60 = Retail Price

Retail Price = 69

-Chetan K

Answer:

Original Price is $60

But it is markup 15%

(15x60) / 100 = 9

the 15% of 60 is 9

60 + 9  = 69

Now the retail price is $69

Step-by-step explanation:

Answer:

2 dp= 453.86

have a nice day <3

453.86452

2 decimal place of 453.86452

to round off to 2 dp, if the digit in thousandth place is 5 or more round up, if not keep it as it is.

=453.86

hence, the 2dp of 453.86452 is 453.86

Hey there!

6^4 * 3^4 = ?

6^4

= 6 * 6 * 6 * 6

= 36 * 36

= [1,296]

3^4

= 3 * 3 * 3 * 3

= 9 * 9

= [81]

1,296 * 81

= [104,976]

6^4 * 3^4 = [104,976]

Now let’s see if 18^8 is equivalent to 18^8

18^8

= 18 * 18 * 18 * 18 * 18 * 18 * 18 * 18

= 324 * 324 * 324 * 324

= 104,976 * 104,976

= [11,019,960,576]

Therefore, 11,019,960,576 ≠ 104,976 because It is way too big to be equations answer

Answer: [NO], they aren’t equivalent because 18^8 is too big to equal to 6^4 * 3^4

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

11025 = 3^2×5^2×7^2 (6 prime factors, 3 distinct)

Step-by-step explanation:

[tex]3 {}^{2} \times 5 {}^{2} \times 7 {}^{2} [/tex]

Answer:

3²×5²×7²

Step-by-step explanation:

Hope this helps

An

chọn  A

Step-by-step explanation:

3x-5>=  4x-3

<=>x <=  -2( -2;-3;-5)

Answer:

3x - 5 > 4x - 3

-1 is the answer (A)

Step-by-step explanation:

Answer:

the x-value becomes negated

Step-by-step explanation:

(x,y) -> (-x,y)

The final position of the dive ring with respect to surface of water ls 0.

Representing position using integer :

10 feets below the surface = - 10

To recover the ring, then, Sabine needs to 10 feets below the surface.

The surface the water = sea level position = 0

Since, Sabine takes the ring back to the surface, then the final position of the dive ring will be the sea level.

The final position of the dive ring = 0

We know that we use negative sign in integers to show a value is decreased or dropped and positive sign to show increase or rise.

Given : A dive ring on the bottom of the pool is 10 feet below the surface of the water. Sabine dives down and brings the ring back to the surface.

i.e. Integer represents the distance Sabine dives down = -10 feet  (1)

and Integer represents to come back to surface = +10  feet  (2)

Now, the final position will be (combine (1) and (2)) :

-10+10=0

Thus, the integer represents the dive ring's final position with respect to the surface of the water = 0

Answer:x+3+(-20x+2)/(x^2-3x+2)

Step-by-step explanation:

Answer:

i think that it is 30 i'm not so sure

Step-by-step explanation:

The slope of an object is the ratio of the rise to the run. It measures the degree of steepness of an object or a projection. Hence. The slope of the slide is 1.5

Slope = Rise / Run

From the question ;

Hence,

Slope = 9 / 6 = 3/2 = 1.5

Therefore, the slope of the water slope ls 1.5.

Learn more : https://brainly.com/question/25211791

Answer:

they are parallel

Step-by-step explanation:

Answer:

I did this i got  5,-2

Step-by-step explanation:

sry if wroung i got this right on my test and passed

Answer:

480

Step-by-step explanation:

8 x 60 = 480

Hope this helped! Have a wonderful day! :)

Answer:

∛27 = 3

Step-by-step explanation:

A radical is simply a fractional exponent: [tex]a^{(\frac{m}{n})} = \sqrt[n]{a^{m} }[/tex]

Hence, ∛27 = [tex]27^{(\frac{1}{3})}[/tex]

Since 27 = 3³, then:

You could rewrite ∛27 as ∛(3)³.

[tex]\sqrt[3]{3^{(3)} } = 3^{[(3)*(\frac{1}{3})]}[/tex]

Multiplying the fractional exponents (3 × 1/3) will result in 1 (because 3 is the multiplicative inverse of 1/3). The multiplicative inverse of a number is defined as a number which when multiplied by the original number gives the product as 1.

Therefore, ∛27 = 3.

Answer:

[tex]cosx=\frac{67}{77} =>x=29.5[/tex]

Step-by-step explanation:

Answer: BUL

Step-by-step explanation:

Answer:

⃤  RED =  ⃤  BUL

By rule Rotation

Answer:

$72,000

Step-by-step explanation:

Since, a jewelry store bought 8 beautiful diamond necklaces and each cost $9,000 that means;

1 = $9,000

2 = $18,000

3 = $27,000

4 = $36,000

5 = $45,000

6 = $54,000

7 = $63,000

8  = $72,000

or to summarize;

9,000 x 8 = $72,000

As a result, the jewelry store spend $72,000 on the necklaces.

RevyBreeze

Answer:

x = - 7

Step-by-step explanation:

Sum of interior angles is a triangle is 180,

70 + 55 + 62 + x = 180

187 + x = 180

x = 180 - 187

x = - 7

Answer:

C) -7

Step-by-step explanation:

1. All the angles in a triangle add up to 180°. This means that x + 62 + 70 + 55 = 180.

2. (Solving equation above)

Step 1: Combine like terms.

Step 2: Subtract 187 from both sides.

Step 3: Check if solution is correct.

Therefore, the answer is C) -7.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

± 7

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

⸻⸻⸻⸻[tex]\text{\textbf{Since...}}\\\\7 * 7 = 49\\\\-7 * -7 = 49 \text{ \textbf{ REMEMBER:} Two negative numbers would have a positive product.}\\\\\text{We can conclude that...}\\\\\boxed{\sqrt{49} = \pm 7}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.