The curve y=(k-6)x^2-8x+k cuts the x-axis at two points and has a minimum point. Find the range of values of k.

Hi there!  

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I believe your answer is:  

O False

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Here’s why:  

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[tex]\boxed{\text{Simplifying the Equation Given...}}\\\\\frac{1}{4}(12x-16)=4 \\---------------\\\\\rightarrow \left \{ {{\frac{1}{4} * 12 = 3} \atop {\frac{1}{4}*-16 = -4}} \right.\\\\\rightarrow \boxed{3x - 4 = 4}\\\\\\\rightarrow\boxed{3x - 4 = 4\neq 3x - 16 = 4} \leftarrow\\\\\text{The 'simplified' equation is not distributed correctly.}[/tex]

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

Answer:

Step-by-step explanation:

The length of the edge = x

Surface area:

Answer:

→ successive Rate of 20% for 2 Years = 2*20 + (20*20/100) = 40 + 4 = 44%.

And, when interest is compounded semi - Annually,

→ Rate = (20/2) = 10% .

→ Time = 2 * 2 = 4 Years.

So,

→ successive Rate of 10% for 4 Years = (2*10 + (10*10/100) = 21% Now, => 21*2 + (21*21/100) = 42 + 4.41 = 46.41% .

A/q,

→ (46.41%) - 44% = 482

→ 1% = (482/2.41)

→ 100% = (482/2.41) * 100 = Rs.20000 (Ans.)

Step-by-step explanation:

Answer from Gauth math

Answer:

sinF = [tex]\frac{11}{61}[/tex]

Step-by-step explanation:

sinF = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{EG}{FE}[/tex] = [tex]\frac{11}{61}[/tex]

The ratio which represents the sine of ∠F is [tex]\frac{11}{61}[/tex].

In a right angled triangle, the sine of an angle is the length of the side opposite the angle divided by the length of the hypotenuse.

sin θ = opposite side w.r.t θ / hypotenuse

According to the given question

We have

A right angle triangle EFG, in which

∠G = 90 degree

EG = 11

FE = 61

and,  GF = 60

Now, the opposite side with respect to ∠F is GE

and the hypotenuse is EF

Therefore, sine of ∠F = side which is opposite w.r.t ∠F/ hypotenuse

⇒ [tex]sinF=\frac{GE}{EF}[/tex]

⇒ [tex]SinF=\frac{11}{61}[/tex]

Hence, the ratio which represents the sine of ∠F is [tex]\frac{11}{61}[/tex].

Learn more about sine of an angle here:

https://brainly.com/question/13656175

#SPJ2

Answer:

d

Step-by-step explanation:

y-6 = -4(x+1)

y-6 = -4x - 4

y = -4x + 2

Answer:

Step-by-step explanation:

Here,

y - 6 = -4(x+1)

=> y - 6 = -4x - 4

=> y = -4x - 4 + 6

=> y = -4x + 2 (option d) (Ans)

Answer:

[tex]a \: = \: pe ^{rt} [/tex]

[tex]a = 600e^{(.08)(3)} [/tex]

[tex]a = 762.75 \: dollars[/tex]

Since the question stated that the interest is compounded continuously, we know that Euler number is required

Answer:

x =  127º

Step-by-step explanation:

y = 127º    {Corresponding angles}

x = y      {Vertically opposite angles}

x = 127º

Answer and Step-by-step explanation:

2n is the algebraic expression for twice n.

#teamtrees #PAW (Plant And Water)

Answer:

She should first perform the operation in the parentheses, you can reference the order of the operations based on PEMDAS.

Step-by-step explanation:

1. parentheses operations

2. multiply 4 x 3

3. add the value you get from the parentheses with -7

4. with that value add it to the product of 4 and 3

Hope that helped! :)

Answer:

Subtraction

Explanation:-

[tex]( 1.25 -0.4) \div7+ 4 \times 3[/tex]

Using BODMAS Rule:-

In bracket, the operation subtraction should be performed first .

Answer:

a triangle is a closed polygon that consists of three sides and three angles,and it's one of the basic shape that we basic shape that we knowing geometry.

Answer:

18.8

Step-by-step explanation:

Surface area=2*pi*r*(r+h)=2*pi*1*(3)=18.8

Answer:

150 is the answer of your question. I HOPE IT WILL HELP YOU.

Answer:

1) $150

2) $3

3) $150

Step-by-step explanation:

1) 25% times $200=$150

2) 25% times $12= $3

3) Half of $300 is $150, which 50% off is half off.

Answer:

Less than.

Step-by-step explanation:

2.59 is less than 2.684 by 0.094

2.59 < 2.684

~

Answer:

Less than

Step-by-step explanation:

2.59 is smaller than 2.684 because the first number (the tenth) is bigger than the other first number (2.59) so it should be bigger.

Answer:

0.25 as a fraction is 25/100, which further simplified becomes 1/4

Step-by-step explanatio

Answer:

The sum of the arithmetic series is 2717.

Step-by-step explanation:

The sum of an arithmetic sequence is given by:

[tex]\displaystyle S = \frac{k}{2}\left( a + x_k\right)[/tex]

Where k is the number of terms, a is the initial term, and x_k is the last term.

There are 22 terms, the first term is 7, and the last term is 240. Hence, the sum is:

[tex]\displaystyle \begin{aligned} S &= \frac{(22)}{2}\left((7) + (240)} \\ \\ &= 11(247) \\ \\ &= 2717\end{aligned}[/tex]

In conclusion, the sum of the arithmetic series is 2717.

Answer:

Step-by-step explanation:

There are at most 4 distinct absolute values of elements taken from this sequence. (If there were at least 5 distinct absolute values, then you could pick [tex]a_i,a_j,a_k,a_\ell,a_m[/tex] each with different absolute values, but that would contradict the given statement "for every five indices ... at least two of ... have the same absolute value".)

The pigeonhole principle then says that 2 of any 5 numbers taken from this sequence have the same absolute value. Both |x| = x and |-x| = x, so there can be at most 8 distinct numbers in the sequence.

Answer:

-12x-9+50-5=0

-12x+41-5=0

-12x+36=0

-12x=0-36

x= -36/-12

x = 3 Answer...

hope it helps

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

[tex]3(-4x - 3) + 50 - 5= 0[/tex]

⇒ Subtract 50- 5 from both sides:-

[tex]3\left(-4x-3\right)+50-5-\left(50-5\right)=0-\left(50-5\right)[/tex]

[tex]3\left(-4x-3\right)=-45[/tex]

⇒ Divide both sides by 3:-

[tex]\frac{3\left(-4x-3\right)}{3}=\frac{-45}{3}[/tex]

[tex]-4x-3=-15[/tex]

⇒ Add 3 to both sides:-

[tex]-4x-3+3=-15+3[/tex]

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

⇒ Divide both sides by -4:-

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

[tex]x=3[/tex]

OAmalOHopeO

Answer:

I am thinking it's c

I am not sure

Answer:

25th Percentile: 3.5

50th Percentile: 4.5

75th Percentile: 8

= Interquartile Range: 4.5

I think it shows it's '4.5'.

C

Answer:

15:4

Step-by-step explanation:

Multiply the fractions to get a common denominator. Multiply 3/4 by 5 and your get 15/20 and multiply 1/5 by 4 and you get 4/20. The numerators represent the ratio.

Answer:

Fill up the .3 container and then pour it into the .5

fill up the .3 again and fill up the .5 ... if all is poured in the .5 will overflow over the top.

stop when the .5 is totally full... only .3 will fit... the liquid left in  the .3 will be .1

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

4(3 - 1)^2

~Simplify using PEMDAS

4(2)^2

4(4)

16

Best of Luck!

Answer:

x=0

x=6

x=-1

Step-by-step explanation:

x(x^2-5x-6)

x(x-6)(x+1)

x=0

x=6

x=-1

Answer:

x(2x+3)

Step-by-step explanation:

rewrite in factored form

2x^2+3x

x(2x+3)

Answer:

Step-by-step explanation:

The standard form of an exponential equation is [tex]y=a(b)^x[/tex] where y is the final count of the population after some time, x, goes by; a is the initial or starting amount of people (our unknown), and b is the growth rate. For us, y is 33620, the time is x = 2 years, and the growth rate is .025; but if we are growing we are expanding on the amount that we started with, so b = 100% + 2.5% = 102.5% and in decimal form, 1.025.

[tex]33620=a(1.025)^2\\33620=1.050625a[/tex] so

a = 32000

The initial population is 32000

Answer:

one possible value for x is 31/40

Step-by-step explanation:

Let's isolate the 20x term.  Add 13 to all three terms:

2 + 13 < 20x - 13 + 13 < 3 + 13

and this simplifies to:

15 < 20x < 16

Dividing all three terms by 20, we get:

15/20 < x < 16/20

A fraction halfway between 15/20 and 16/20 is (31/20)/2, so

one possible value for x is 31/40.

Check by substituting this into the original equation and checking whether that equation is now true:

2 <20(31/40) - 13 < 3

or

2 < 31/2 < 16, or 2 < 15.5 < 16 (this is true, so 31/40 is a solution)

Answer:

30.80

Step-by-step explanation:

We can use a ratio to solve

4 tickets              7 tickets

-------------------  = ----------------

17.60 dollars           x dollars

Using cross products

4x = 17.60 * 7

4x =123.2

Divide each side by 4

4x/4 = 123.2/4

x=30.8