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Answer:

the number is -9

Step-by-step explanation:

Answer:

k = 12

Step-by-step explanation:

Given:

The equation [tex]Q(x)=2x^2-kx+18[/tex]

To find:

Value of [tex]k = ?[/tex] for which the given equation has one distinct real solution.

Solution:

The given equation is a quadratic equation.

There are always two solutions of a quadratic equation.

For the equation: [tex]ax^{2} +bx+c=0[/tex] to have one distinct solution:

[tex]b^2 - 4ac = 0[/tex]

Here,

a = 2,

b = -k and

c = 18

Putting the values, we get:

[tex](-k)^2 - 4\times 2\times 18 = 0\\\Rightarrow k^2 = 18\times 8\\\Rightarrow k^2 =144\\\Rightarrow k = 12[/tex]

The equation becomes:

[tex]Q(x)=2x^2-12x+18[/tex]

And the one root is:

[tex]2(x^2-6x+9 ) = 0\\\Rightarrow 2(x-3)^2=0\\\Rightarrow x = 3[/tex]

Answer:

the square root of 121 is 11

Answer:

I think the answer is 2 dollars

Step-by-step explanation:

Value of   g(ƒ (0)) =18 .

Definitions of f(x) and g(x) -

Composition of a function is done by substituting one function into another function. For example, f [g (x)] is the composite function of f (x) and g (x). The composite function f [g (x)] is read as “f of g of x”. The function g (x) is called an inner function and the function f (x) is called an outer function.

The composition (g ° f)(x) means "evaluate f at x, then evaluate g at the result f(x)". The product (g*f)(x) means "evaluate g and f at x and multiply the results".

An algebraic function is a function that involves only algebraic operations. These operations include addition, subtraction, multiplication, division, and exponentiation.

given

f(x) = 3x²+x-6

g(x) = -4x - 3

find the value of g(ƒ (0))

g(ƒ (0)) = ?

g( f(x) ) = 3 ( f(x) )² +( f(x) )−6

Now, replace every  f(x) on the right side with the function you entered in for  f(x)  :

g(f(x)) = 3( f(x) )² +( f(x) )−6

⇓

g(f(x)) = 3( −4x−3 )² +( −4x−3 )−6

Simplify the expression.

g(f(x)) = 3(−4x−3)² +(−4x−3)−6

          = 3(−4x−3)² − 4x−9

So, g(f(x))=3(−4x−3)² −4x−9.

g(ƒ (0)) = 3(−4× 0 −3)² −4× 0−9

g(ƒ (0)) = 3(−3)² −9

g(ƒ (0)) = 3 × 9 −9

g(ƒ (0)) = 27 − 9

g(ƒ (0)) =18 .

Hence, by using the definitions of f(x) and g(x) the value of g(ƒ (0)) =18.

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Answer:

5xy

Step-by-step explanation:

x and y can only go into both into once

Answer:

y = 6, RS = 35 and ST = 17

Step-by-step explanation:

Given that,

RS = 5y+5

ST = 2y+5

RT = 52

If we consider a number line,

RT = RS + ST

52 = 5y+5 + 2y+5

52 = 7y + 10

7y = 52-10

7y = 42

y = 6

RS = 5y+5

= 5(6)+5

= 35

ST = 2y+5

= 2(6) +5

= 17

Hence, this is the required solution.

False.

Variability in statistics is the degree to which data in a set varies, or how much difference there is in a single set of data. The variability definition also refers to the consistency of the pattern in a set of data.

There are many measures of variability to help researchers determine how much variability is contained within a set of data. A simple measure of variability is the range, the difference between the highest and lowest scores in a set.

A concern when using a simple range measure is the existence of outliers, individual scores that are not grouped with the rest of the scores.

Current statistical studies are modern and have a wealth of analysis tools and software to understand the data. Statistics has a wide range of objectives, which aim not only to understand the variability of the data, but also its origin and motivation. For example, if an election poll shows a variation from a previous poll, statisticians will seek to understand the causes of these variability and not just present the variation in the data.

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Answer:

First choice, 75%

Step-by-step explanation:

Add all the numbers together:

15 + 8 + 10 + 12 + 15 = 60

So the probability that you'll get a lose a turn card is 15/60 which simplified is 1/4, 1/4 in decimal form is 0.25 which is 25%. % means out of 100 so to double check: 1/4 times 100 = 100/4 = 25%

There's a 25% chance that you will draw the lose a turn card so

100% - 25% = 75%

So there's a 75% probability you will not draw the lose a turn card

3 number of roots exist for the polynomial function.

Step-by-step explanation:

As we know that the polynomial can only have exact number of roots as high as the degree of that polynomial is.

We can also prove it. Assume there is a polynomial

(x+2)(x+3) =0

Here the degree of the polynomial is 2 and the number of possible solutions are also 2. As it is evident that x is either equal to -2 or -3.

From the given condition,

(9x + 7)(4x + 1)(3x + 4)

we know that the degree of the polynomial is 3 because after expansion it becomes,

108x^3 + 255 x^2 +169x + 28 =0

Since, highest power of the variable is 3. Its degree is 3.

Therefore, possible number of roots that exist for the polynomial function are 3.

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By using the translation formula, the image point of (- 1, - 3) is equal to the point (2, 1).

In this problem we find the coordinates of a point, whose image must be found by using a translation, a kind of rigid transformation. The formula for the determination of the coordinates of the image is introduced below:

P'(x, y) = P(x, y) + T(x, y)                 (1)

Where:

If we know that P(x, y) = (- 1, - 3) and T(x, y) = (3, 4), then the coordinates of the resulting point according to the transformation rule are:

P'(x, y) = (- 1, - 3) + (3, 4)

P'(x, y) = (2, 1)

The image point of (- 1, - 3) is equal to the point (2, 1).

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Answer:

Price of each ticket = $70

The revenue generated from sales of 10 tickets = 70 x 10 = $700

After selling the 10 tickets, organization was still at loss of $800. This means total product cost of tickets = $800 + $700 = $ 1500

Net Profit = Revenue - Cost

Revenue from n tickets will be = 70n

Cost = $1500

So, net profit as a function of number of tickets sold = P(n) = 70n - 1500

Step-by-step explanation:

Answer:

20 pts

Step-by-step explanation:

Answer:

14/885 or 1.58%

Step-by-step explanation:

In total, there are 60 marbles. The probability of drawing a blue marble the first time is 8/60. If you keep the one blue marble that was drawn, the total number of marbles in the bag is 59, and there are now 7 blue marbles. The probability of drawing a blue marble now is 7/59.

In order to find out the total probability of drawing two blue marbles in a row, you need to multiply these two fractions.

(8/60) x (7/59) = 56/3540 = 14/885 (approx. 1.58%)

Hope this helps!

Answer:

13.33333%

Step-by-step explanation:

Answer:

See attached image.

Step-by-step explanation:

Since the number of termites in a colony starts out with 125 insects and increases by 75% each week we are looking for a graph where the line crosses the y-axis (vertical axis) at 125 and continues to increases by 75%.

From the screenshots given only one graph has a line that intersects at 125 on the y axis and continues upward (see attached image). The other graphs depict a beginning number of termites of 875, 0, and 250.

Answer:

The value of x=17.

Step-by-step explanation:

3(x-1) = 4(x-5)

=3x-3=4x-20

Subtract both sides by 4x.

=3x-3-4x=4x-20-4x

= −x−3=−20

Add 3 to both sides.

=−x−3+3=−20+3

−x=−17

Divide both sides by -1.

−x/-1=−17/-1

x=17

Answer:

12.5

Step-by-step explanation:

2 1/2 is the same as 5/2

               (2*2 = 4 +1 = 5, so the mixed number 2 1/2 turns into 5/2)

so 5/2 * 5 = 5/2 * 5/1 = 25/2 = 12.5

Answer:

ya

Step-by-step explanation:

Answer:

6x^2 + 29x + 35

Step-by-step explanation:

(2x+5)(3x+7)

multiply 2x with 3x and 7

multiply 5 with 3x and 7

simplify

6x^2 + 14x + 15x + 35

= 6x^2 + 29x + 35

Answer:

i hope it helpful

thank you

Answer:

Answer in interval notation is (3, 5.94].

Step-by-step explanation:

First find the time that the ball is level with the top of the building on its descent. You can do this by solving 280 = -16^2 + 48t + 280 for t. This gives t = 3 seconds .

Then when the ball reaches the ground the time t is obtained by solving 0 = -16t^2 + 48t + 280 This gives t = 5.94

seconds.

Answer in interval notation is (3, 5.94].

Answer:

3p = 1/2

Step-by-step explanation:

I hope this helps!

Answer:

x=30

5x/6=25

5x=25x6

5x=150

x=150/5

x=30

While dealing with laws of exponents, exponents should be subtracted when splitting exponential formulas with the same base.

Use the Quotient of Powers Rule to reduce the number of terms when splitting like terms with exponents. According to this rule, to determine the solution while dividing terms with the same base, simply remove their exponents. The trick is to only take out exponents with matching bases.

Exponents are added when two powers of the same base are multiplied. Therefore, the exponents are subtracted when two powers of the same base are divided. To put it another way, abac=ab + c is true for all real numbers a, b, and c.

It is so established that any integer or phrase raised to the power of zero always equals 1. To put it another way, the outcome is 1 if the exponent is 0. A 0 = 1 and (a/b) 0 = 1 create the general version of the zero exponent rule.

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Answer: x = 40

Step-by-step explanation:

    104 + 2x -4 = 180

104 - 4 + 2x  = 180

100 + 2x = 180

2x = 180 -100

2x = 80

x = 80/2

x = 40

Answer:

-x+7

Step-by-step explanation:

y-5= -1(x-2)

y-5= -1x+2

+5        +5

y= -x+7

Step-by-step explanation:

A = 6(90-A)-43 Simplify and solve for A.

A = 540-6A-43

A = 497-6A Add 6A to both sides.

7A = 497 Divide both sides by 7.

A = 71 degrees

The complement of A = 90-A = 09-71 = 19

Hope this help :)

Answer:

c. 5/6 = [ g(7) − g(4) ] / (7 − 4)

Step-by-step explanation:

Answer:

Roy speed is greater

Hope this helps

Answer:

Roy

Step-by-step explanation:

(3/4)/5 = 0.15 so Jared cycles 0.15 miles per minute

2 / 13 = 0.15384... so Roy cycles about 0.154 miles per minute

Roy cycles faster