ASAP!What are the vertical asymptotes of the function f(x) = the quantity of 3x plus 9, all over x squared plus 4x minus 12?

A) x = −6 and x = −2
B) x = −6 and x = 2
C) x = 1 and x = −2
D) x = 1 and x = 2

Since the sales tax is 6%, the object will cost 1.06 (100% + 6%) times the original value.

1.06 × $95.00 = $100.70

The object will cost $100.70.

Let me know if you need any clarifications, thanks!

Step-by-step explanation: To determine whether the relation shown here is a function, it's important to understand that a function is a relation in which each x-term corresponds to exactly one y-term.

Each of the x-terms shown here 1, 2, 3, 4, and 5 appears only once so each x-term corresponds to only one y-term. So yes, this relation is a function.

The domain of a relation is the set of all the x-terms of the relation. So here, the domain will be the set of all the x-terms or {1, 2, 3, 4, 5}.

The range of a relation is the set of all the y-terms of the relation. SO here, the range will be the set of all the y-terms or {1, 2, 5, 10, 15}.

Answer:

c=4

Step-by-step explanation:

Answer:

C=4

Step-by-step explanation:

when solving these equations you have to get the letter by itself and in this case the 4 is being multiplied by the c so you have to do the opposite and divide the 4 from the c and divide 16 by 4 because what you do to one side of the equal sign you have to do to the other side.

Answer:

396.584

Step-by-step explanation:

just move the decimal right 2 spaces when multiplying by 100

Answer:

396.584

Step-by-step explanation:

Answer:

x=-6

Step-by-step explanation:

3x-(2x-3)=2x+9

3x-2x+3=2x+9

x+3=2x+9

3=2x-x+9

3=x+9

x=3-9

x=-6

There are 59 eggs in the basket

Step-by-step explanation:

There are between 50 & 60 eggs in a basket

We need to find how many eggs in the basket

∵ When Roza counts by 3's there are 2 leftover

∵ When she counts by 5's there are 4 leftover

- That means the number of eggs when divided by 3 give

  remainder 2 and when divided by 5 give remainder 4

- To find the number look for the numbers that divisible by 5 and

  add 4 to them and then check the remainder when they divided

  by 3

∵ Between 50 and 60 there is only one number divisible by 5

  is 55 (not including 50 or 60)

∵ 55 + 4 = 59

∴ 59 gives remainder 4 when divided by 5

Let us check them with 3

∵ 59 - 2 = 57

∵ 57 is divisible by 3 ⇒ (57 ÷ 3 = 19)

∴ 59 when divide by 3 gives remainder 2

∴ 59 gives remainder 4 when divided by 5 and remainder 2 when

  divided by 3

∴ The number of eggs in the basket is 59

There are 59 eggs in the basket

Learn more:

You can learn more about the word problems in brainly.com/question/10557938

#LearnwithBrainly

Answer:

2 times

Step-by-step explanation:

Mai biked [tex]7\frac{1}{4} = \frac{29}{4}[/tex] miles today and Noah biked [tex]3\frac{5}{8} = \frac{29}{8}[/tex] miles  today.

We are asked how many times the length of Noah's bike ride was Mai's bike ride.

Therefore, the length of Mai's bike ride was [tex](\frac{29}{4} \div \frac{29}{8})  = 2[/tex] times the length of Noah's bike ride.  

Therefore, we will take option B will be correct. ( Answer )

Step-by-step explanation:

2x²-4x=0

2x²=4x

[tex] \frac{2x {}^{2} }{x} = 4[/tex]

2x=4

x=2

Answer:

The numbers are 18, 22.5, and 13.5

Step-by-step explanation:

You first need to figure out what number you use to multiply to find your answer. I found 4.5

Now, multiply all numbers by 4.5

4 x 4.5 = 18

5 x 4.5 = 22.5

3 x 4.5 = 13.5

Step-by-step explanation:

Answer: 50%

Step-by-step explanation:

Answer: Nope it's 55%

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

For a function to be true, there cannot be the same x used for two different ys. D is the only table that follows this rule.

Answer:

The abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent.

HL.

Step-by-step explanation:

The Figure is attached below

Given:

AB = DE ; BC = EF

∠C = ∠F = 90°

To Prove:

ΔACB ≅ ΔDFE

Proof:

Hypotenuse Leg Theorem:

The hypotenuse leg theorem states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.

The abbreviation is HL

In  ΔACB  and ΔDFE  

AB ≅ DE      ……….{Hypotenuse congruent Given}

BC  ≅ EF     ……….{Given}

∠C ≅ ∠F = 90°     …………..{Measure of each angle is 90° given}

ΔACB  ≅ ΔDFE   ….{Hypotenuse Leg ( HL ) Theorem}

Answer:

Step-by-step explanation:

ODYSSEY

Answer:

3/2

Step-by-step explanation:

2+1=3

3*3/2=4.5

it would not make sense if it was 2/3 cuz look what u get.......

3*2/3=2

Answer:

Step-by-step explanation:

If x and y are proporttional then

[tex]\dfrac{y}{x}=costant\to\dfrac{y}{x}=a\to y=ax[/tex]

From the table we have x = 2 and y = 3.

Substitute:

[tex]3=2a[/tex]          divide both sides by 2

[tex]\dfrac{3}{2}=\dfrac{2a}{2}\\\\\dfrac{3}{2}=a\to a=\dfrac{3}{2}[/tex]

Therefore we have:

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

We increase x by 1:

[tex]y_1=\dfrac{3}{2}(x+1)[/tex]             use the distributive property

[tex]y_1=\underbrace{\dfrac{3}{2}x}_{y}+\dfrac{3}{2}\Rightarrow y_1=y+\dfrac{3}{2}[/tex]

Answer: One small box of oranges costs $7 and one large box of oranges costs $13.

Step-by-step explanation:

Let be "s" the cost in dollars of one small box of oranges and "l"  the cost in dollars of one small box of oranges.

Based on the data given in the exercise, you can set up the following System of equations:

[tex]\left \{ {{3s+14l=203} \atop {11s+11l=220}} \right.[/tex]

Use the Elimination Method to solve it:

- Multiply the first equation by 11 and the second one by -3.

- Add the equations.

- Solve for "l".

Then:

[tex]\left \{ {{33s+154l=2233} \atop {-33s-33l=-660}} \right.\\...............................\\\\121l=1573\\\\l=13[/tex]

- Substitute the value of "l" into any original equation and solve for "s":

[tex]3s+14(13)=203\\\\3s=203-182\\\\s=\frac{21}{3}\\\\s=7[/tex]

Answer:

0.7

Step-by-step explanation:

Find Explanation attached

The cost of one sweatshirt is $19.

Step-by-step explanation:

Let,

Cost of one pair of jeans = x

Cost of one sweatshirt = y

According to given statement;

5x+2y=233     Eqn 1

3x+4y=193      Eqn 2

Multiplying Eqn 1 by 2

[tex]2(5x+2y=233)\\10x+4y=466\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 2 from Eqn 3

[tex](10x+4y)-(3x+4y)=466-193\\10x+4y-3x-4y=273\\7x=273[/tex]

Dividing both sides by 7

[tex]\frac{7x}{7}=\frac{273}{7}\\x=39[/tex]

Putting x=39 in Eqn 2

[tex]3(39)+4y=193\\117+4y=193\\4y=193-117\\4y=76[/tex]

Dividing both sides by 4

[tex]\frac{4y}{4}=\frac{76}{4}\\y=19[/tex]

The cost of one sweatshirt is $19.

Keywords: linear equation, subtraction

Learn more about subtraction at:

#LearnwithBrainly

Answer:

4.37%

Step-by-step explanation:

Given: Value of object in 1997 is $5000

            Value of object in 2012 is $4500.

             Number of years (2012-1997)= 15 years

∵We know that there is growth in value of object over multiple years.

∴Compound annual growth rate (CAGR)= [tex][(\frac{end\ value}{initial\ value} )^{\frac{1}{n} } ] -1[/tex]

Remember, n = number of years

∴ Growth rate=  [tex][(\frac{9500}{5000} )^{\frac{1}{15} } ]-1[/tex]

⇒Growth rate= [tex][(1.9)^{\frac{1}{15} } -1][/tex]

⇒Growth rate= [tex](1.9)^{0.0667} -1= 1.0437-1[/tex]

⇒ Growth rate= 0.0437

Now, finding percentage of growth rate

∴ [tex]0.0437\times 100= 4.37\%[/tex]

∴ Annual growth percent over the period of time is 4.37%

Answer:

The estimated population in 2025 will be 22261221.

Step-by-step explanation:

Let us assume that the annual growth rate is compounded annually on the population.

Now, in 2000, the population was 19169000 and the annual growth rate is 0.6%, the the population in the year 2025 will be given by  

[tex] 19169000(1 + \frac{0.6}{100} )^{25} = 22261220.7[/tex] ≈ 22261221

Therefore, the estimated population in 2025 will be 22261221. ( Answer )

The domain of the function f(x) = (x - 5) / (2x - 3) is all real numbers except for x = 3/2 because this value would cause the denominator of the function to be zero, which is undefined.

The domain of a function refers to all possible values that can be inputted into the function, or 'x' values. For a rational function, such as f(x) = (x - 5) / (2x - 3), it is important to note that the function is undefined for values of x that would make the denominator equal zero. Because functions cannot have a denominator of zero, these values should be excluded from the domain.

To find these values, you would set the denominator equal to zero and solve. Thus, 2x - 3 = 0. Solving this, x = 3/2. Therefore, all real numbers except for x=3/2 are in the domain for this rational function.

https://brainly.com/question/14328257

#SPJ3

Answer:

c

Step-by-step explanation:

c

Answer:

Step-by-step explanation:

2(5x - 1) - (2x - 5) =

10x - 2 - 2x + 5 =

8x + 3 <===

Answer:

1) [tex]9\frac{1}{6}-8\frac{5}{6}=\frac{1}{3}[/tex]

2) [tex]10\frac{3}{4}-6\frac{4}{4}=3\frac{3}{4}[/tex]

Step-by-step explanation:

You can convert he mixed numbers to improper fractions:

1. Multiply the whole number part by the denominator of the fraction.

2. Add the product obtained to the numerator.

3. The denominator does not change.

Then:

[tex]9\frac{1}{6}=\frac{54+1}{6}=\frac{55}{6}\\\\8\frac{5}{6}=\frac{48+5}{6}=\frac{53}{6}\\\\10\frac{3}{4}=\frac{40+3}{4}=\frac{43}{4}\\\\6\frac{4}{4}=\frac{24+4}{4}=\frac{28}{4}[/tex]

Observe that, in each subtraction, the denominators are equal, then you can rewrite the denominator and subtract the numerators:

[tex]1)\ \frac{55}{6}-\frac{53}{6}=\frac{55-53}{6}= \frac{2}{6}=\frac{1}{3} \\\\2)\ \frac{43}{4}-\frac{28}{4}=\frac{43-28}{4}= \frac{15}{4}[/tex]

Divide 15 by 4. The quotient will be 3 and the remainder 3.

Then:

[tex]\frac{15}{4}=3\frac{3}{4}[/tex]

Answer:

△JKL ≅ △XYZ by HL congruency for right triangles

Step-by-step explanation:

If only given two sides and an uncontained angle, the triangles may not necessarily be congruent. However, since the given angle is a right angle, they are congruent.

When given that the hypotenuse and any "leg" of the right triangles are equal, the triangles are congruent.

Since one angle is 90°, the other two angles must be acute. This is unlike the ambiguous case when given an uncontained acute angle, where two possible triangles can be made by making another angle obtuse.

Imagine an isosceles triangle cut in half at the altitude, creating two right triangles (JKL and XYZ). They have the same angle measures. Each with a right angle, the angle that had an equal measure in the isosceles, and the unequal angle bisected. For the triangles' sides, the isosceles base was bisected by the altitude, and they have the same altitude.

Answer:

A=πr^2 and A=πr'^2 by the definition of area

Answer:

[tex]g(x)=\frac{1}{4}x-3[/tex]

Step-by-step explanation:

we have

[tex]f(x)=4x+12[/tex]

Find the inverse

step 1

Let

y=f(x)

[tex]y=4x+12[/tex]

step 2

Exchange the variables  (x for y and y for x)

[tex]x=4y+12[/tex]

step 3

Isolate the variable y

we have

[tex]x=4y+12[/tex]

Subtract 12 both sides

[tex]x-12=4y[/tex]

Divide by 4 both sides

[tex]y=\frac{x-12}{4}[/tex]

simplify

[tex]y=\frac{1}{4}x-3[/tex]

step 4

Let

[tex]f^{-1}(x)=y[/tex]

[tex]f^{-1}(x)=\frac{1}{4}x-3[/tex]

we have that

[tex]g(x)=f^{-1}(x)[/tex]

therefore

[tex]g(x)=\frac{1}{4}x-3[/tex]

Answer:

8 1/3

Step-by-step explanation:

To write an improper fraction as a mixed number,

we divide the denominator into the numerator.

My work is attached below.

Answer:

x  =    1

   ----------

     82V

Step-by-step explanation:

Answer: B. Adjacent

Step-by-step explanation: They share a common side and vertex

Answer:

 116 280

Step-by-step explanation:

number of combination = 20 x 19 x 18 x 17 = 116 280

HOPE THIS HELPED ;3

The number of different combinations are there if the numbers must be all different is 19380.

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, nCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.

Given that, a combination lock has 20 numbers on it.

Different three-number combinations

= 20!/3!(20-3)!

= 20×19×18×17!/3!×17!

= 20×19×18×17/(3×2×1)

= 10×19×6×17

= 19380

Therefore, the number of different combinations are there if the numbers must be all different is 19380.

To learn more about the permutation and combination visit:

https://brainly.com/question/28065038.

#SPJ2

"Your question is incomplete, probably the complete question/missing part is:"

A combination lock has 20 numbers on it. How many different three-number combinations can be made? How many different combinations are there if the numbers must be all different?

Answer:

???????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????

Step-by-step explanation: