Which of these represents a quadratic polynomial with exactly two zeros given by - 21 and 2i?
A. O f(x) = x2 – 4
B. O f(x) = x2 +4
C. O f(x) = 2x2
16
D. O f(x) = 2x2 + 16

Answer:

I don’t know this one sorry

Step-by-step explanation:

Answer:

let people=x

and shoes=y

now,as per the question

2x-4=y

Answer:

175-3x=490

Step-by-step explanation:

he only has 3 weeks, which is a time limit, so it would be -3x instead of +3x, he only has 175, so he needs more, so it's positive. Hope this is correct (:

Answer:

I believe the answer is $105

Step-by-step explanation:

Well you have the price of the phone which is $490 and you also have saved $175 towards the new phone.

I used substraction $175 from $490 leaves $315.

Then i divided $315 by 3 weeks and got $105 .

Answer:

Remains on her gift card:

$3.07

Step-by-step explanation:

15 - ((2*2.65) + (2*1.79) + (1*3.05))

= 15 - (5.3 + 3.58 + 3.05)

= 15 - 11.93

= 3.07

Remains on her gift card:

$3.07

Answer:

48

Step-by-step explanation:

You are solving for the mean of the data set. To do so, add all the numbers together, and divide by the amount of numbers in the set.

Note that there are 4 numbers given to you: 38, 40 , 53, 61.

First, add the 4 numbers together:

38 + 40 + 53 + 61 = 192

Next, divide 4 from the total gotten:

192/4 = 48

48 is the mean of the data set.

~

Answer:

Step-by-step explanation:

[tex]Mean = \frac{Total \: value}{no \:of \:given \:data} \\\\=\frac{61+ 38+ 40+ 53}{4}\\\\=\frac{192}{4} \\\\= 48[/tex]

Answer:

Total withholding allowances are 39.

Step-by-step explanation:

Given the gross earning of John = $743.61

It is given that 1 withholding allowance = $19

Now we have to find the total number of withholding allowances. Here, the number of withholding allowances can be determined by dividing the total earnings with $19.

Number of withholding allowances = 743.61 / 19 = 39.14 or 39 (round off).

Answer:

Step-by-step explanation:

Answer:

128 heads.

Step-by-step explanation:

From the experiment the probability = 16/25.

So the number of heads expected is (16/25) * 200

= 16 * 8

= 128.

Answer:

128 heads is the answer

Step-by-step explanation:

16/25=.64

.64*200=128

I would predict that it would land on heads 128 times if you flipped the coin 200 times.

Answer:

24 bouquet

Step-by-step explanation:

300 divide by 12.50

The total money needed $ 275.2

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Calla lilies cost you $2.40.

roses cost $1.90.

If we need 65 lilies then it will cost

=64 * 2.40

= $153.60

and, If we need 65 roses then it will cost

=64 * 1.90

= $121.60

So, the total money needed

=153.6 + 121.6

=$ 275.2

Learn more about unitary method here:

https://brainly.com/question/22056199

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Answer:

≈ 7.2

Step-by-step explanation:

Use distance formula:

d = √(8-4)² + (8-2)²

The length of the straight line → BD is 74.22 mm.

A line segment is a piece or part of a line having two endpoints. Unlike a line, a line segment has a definite length.

Given is a line BD such that point C lies on BD. Also, BC = 52.39 mm and

CD = 21.83 mm.

We can say that for a straight line -

BD = BC + CD

The given measurements are -

BC = 52.39 mm

CD = 21.83 mm

Substituting the values, we get -

BD = 52.39 + 21.83

BD = 74.22 mm

Therefore, the length of the straight line → BD is 74.22 mm.

To solve more questions on Line segments, visit the link below-

https://brainly.com/question/28245289

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Answer:

The answer is

Step-by-step explanation:

Volume of a cylinder = πr²h

where

h is the height

r is the radius

From the question

h = 7 in

To calculate the radius from the diameter we use the formula

radius = diameter/2

From the question

diameter = 6

radius = 6/2 = 3 in

Volume of the cylinder is

(3)²(7)π

= 9(7)π

= 63π

= 197.9203

We have the final answer as

Hope this helps you

Answer:

5.385 Units

Step-by-step explanation:

5²+2²=c²

25+4=c²

29=c²

c=√29

c=5.385

Answer:8

Step-by-step explanation:

I think it's -3

[tex]2x - 5 = \frac{1}{2} (3x - 13)[/tex]

[tex]4x - 10 = 3x - 13[/tex]

[tex]x = - 3[/tex]

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

4(x−7)=2(x+3)

Simplify both sides of the equation.

4(x−7)=2(x+3)

4x+−28=2x+6

4x−28=2x+6

Subtract 2x from both sides.

4x−28−2x=2x+6−2x

x−28=6

Add 28 to both sides.

2x−28+28=6+28

2x=34

Divide both sides by 2.

2x/2  =  34/2

x = 17

Answer:

x = 17

Step-by-step explanation:

[tex]4(x-7)=2(x+3)\\\\4x-28=2x+6\\\\4x-28+28=2x+6+28\\\\4x=2x+34\\\\4x-2x=2x-2x+34\\\\2x=34\\\\\frac{2x=34}{2}\\\\ \boxed{x=17}[/tex]

Hope this helps.

Answer:

Step-by-step explanation:

The rate of change in this case is 50 pounds per box. The fixed amount that the elevator must carry is 210 pounds, which is how much he weighs. The amount that varies with additional boxes is 50 pounds per box, making it the rate of change. If this situation was graphed, George's weight would be the y-intercept and the rate of change would be the slope.

Answer:

Step-by-step explanation:

4x + 2 = x + 11

3x + 2 = 11

3x = 9

x = 3

4(3)+2= 12+2 = 14

3+11= 14

14+14= 28=HQ

Answer: (0,4)

Step-by-step explanation:

Given: During one move in the game, a marker at a point (a,b) is first moved to the point (b,a) .                                                                     (i)

And then moved 3 units to the left.                                   (ii)

Translation rule to move a point (x,y) c units left : (x,y)→(x-c,y)

Now, (4,3)  first will become (3,4)  [using (i)]

Then, (3,4)→(3-3,4)=(0,4)   [using (ii) and translation rule]

Hence, During such a move, a marker that is at (4,3) will be moved to (0,4).

Answer:

370,4440,001

Step-by-step explanation:

(-2) • (-2) • (10) • (10) • (10) • (10) = 40,000

21 • 21 • 21 = 9261

(-1) • (-1) • (-1) • (-1) = 1

(40,000) (9261) + 1

(370,440,000) + 1 = 370,4440,001

--

exponents

(-2)² + 10⁴ + 21³ + (-1)⁴

Answer:

{2, 6}

Step-by-step explanation:

Subset: A subset is a set of which all the element are contained or can be find in the universal set.

From the question above,

μ = {1,2,4,5,6}

* The first option {0,1,2} is wrong because  0 is not contained in the universal set.

* The second option {3,4} is wrong because, 3 is not contained in the universal set.

* The third option {5,6,7} is wrong because 7 is not contained in the universal set.

* The last option {2,6} is correct because all of the element of the set are contained in the universal set, and as such makes it a subset.

Hence the subset of {1,2,4,5,6} is {2, 6}

Answer:

[tex]\huge \boxed{\mathrm{D. \ 22}}[/tex]

Step-by-step explanation:

[tex]\mathrm{log_4 (x)=12}[/tex]

Make the base 4 from both sides.

[tex]\mathrm{4^{log_4 (x)}=4^{12}}[/tex]

Simplify the equation.

[tex]\mathrm{x=16777216}[/tex]

[tex]\mathrm{log_2 (\frac{x}{4} )}[/tex]

Let x = 16777216

[tex]\mathrm{log_2 (\frac{16777216}{4} )}[/tex]

[tex]\mathrm{log_2 (4194304)}[/tex]

Evaluate.

[tex]22[/tex]

Answer:

[tex]log_2(\frac{x}{4} )=22[/tex]

which is your answer "D"

Step-by-step explanation:

If    [tex]log_4(x)=12[/tex]  this means that : [tex]x=4^{12}[/tex] based in the definition of logarithm.

And this exponential expression can also be written using that [tex]4=2^2[/tex]:

[tex]x=4^{12}=(2^2)^{12}=2^{24}[/tex]

so now we know what x is with base 2 (which is needed for the second expression:

[tex]log_2(\frac{x}{4} )=?[/tex]

And this also can be written in exponent form (using the unknown "?" we need to find) as:

[tex]2^?=\frac{x}{4} \\x=4\,*\,2^?\\x=2^2\,*\,2^?\\x=2^{2+?}[/tex]

Since we know the value of x in base 2 (from our first analysis), then:

[tex]x=2^{2+?}=2^{24}\\then\\2+?=24\\?=22[/tex]

Therefore,

[tex]log_2(\frac{x}{4} )=22[/tex]

Answer:

D) 0 = 2(x + 5)(x + 3)

Step-by-step explanation:

Which of the following quadratic equations has no solution?

We have to solve the Quadratic equation for all the options in other to get a positive value as a solution for x.

A) 0 = −2(x − 5)2 + 3

0 = -2(x - 5) × 5

0 = (-2x + 10) × 5

0 = -10x + 50

10x = 50

x = 50/10

x = 5

Option A has a solution of 5

B) 0 = −2(x − 5)(x + 3)

Take each of the factors and equate them to zero

-2 = 0

= 0

x - 5 = 0

x = 5

x + 3 = 0

x = -3

Option B has a solution by one of its factors as a positive value of 5

C) 0 = 2(x − 5)2 + 3

0 = 2(x - 5) × 5

0 = (2x -10) × 5

0 = 10x -50

-10x = -50

x = -50/-10

x = 5

Option C has a solution of 5

D) 0 = 2(x + 5)(x + 3)

Take each of the factors and equate to zero

0 = 2

= 0

x + 5 = 0

x = -5

x + 3 = 0

x = -3

For option D, all the values of x are 0, or negative values of -5 and -3.

Therefore the Quadratic Equation for option D has no solution.

Answer:

Hey there!

10(5t+5)-10(10t+6)

50t+50-100t-60

-50t-10

Let me know if this helps :)

Answer:

f(x) down 5 units

and shifted to the left 9 units

Step-by-step explanation:

Transforming f(x) = |x| into g(x) = |x+9| - 5

involves:

1) shifting the graph horizontally 9 units to the left (with the subtraction of -9 from the variable "x", getting x+9 inside the absolute value symbols, and

2) shifting its graph 5 units down by subtracting 5 from the full expression

Answer:

YOU HAVE TO WRITE YOUR QUESTION ON COMPUTER AS ,

Step-by-step explanation:

  4/(2*x-3)

I hope it will work

Answer: x=7

Step-by-step explanation: 4(7+4)=44. 7(7)-5=44.

Answer:

x=7

Step-by-step explanation:

4(x + 4) = 7x - 5

Distribute

4x+16 = 7x-5

Subtract 4x from each side

4x+16 -4x = 7x-5-4x

16 = 3x -5

Add 5 to each side

16+5 = 3x-5+5

21 = 3x

Divide by 3

21/3 = 3x/3

7 =x

The question is incomplete. Here is the complete question.

The football team needed to buy Gatorade for Saturday's big game. They have two options. The first option is they can buy it pre-made in 48 ounces bottles for $3.84 for each bottle. Or they can buy packets and mix with water. Each packet makes 64 ounces and will cost $4.80.

a) Find the cost per ounce of each.

b) Which size costs less?

c) The team will need to buy 192 ounces of Gatorade. How much do you save using the choice from answer b?

Answer: a) Pre-made: $0.08 cost per ounce; Packet: $0.075 cost per ounce

              b) Packets

              c) Save $0.96.

Step-by-step explanation:

a) Cost per ounce:

Pre-made:

[tex]\frac{3.84}{48}[/tex] = 0.08

Packet:

[tex]\frac{4.8}{64}[/tex] = 0.075

b) Comparing costs per ounce, packets costs less than pre-made.

c) Buying packets, the cost will be:

0.075*192 = $14.4

Buying pre-made:

0.08*192 = $15.36

Comparing costs, pre-made is 0.96 more than packets, so they will save 96 cents.

Answer:

[tex]2\sqrt{71}[/tex]

Step-by-step explanation:

[tex]a^{2} + b^{2}=c^{2}[/tex]

[tex]59+225=284[/tex]

[tex]\sqrt{284}= 2\sqrt{71}[/tex]

Answer:

c=[tex]2\sqrt{71}[/tex]

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2} \\15^{2} +(\sqrt{59} )^{2}=c^{2}\\225+59=c^{2}\\284=c^{2} \\2\sqrt{71} =c[/tex]

Answer: g(x) = (x - 8)

Step-by-step explanation:

We start with the equation:

x^2 + y^2 - 16*x + 6*y + 73 = 100.

And we want to write this as:

g(x)^2 + (y + 3)^2 = 100.

So both equations are equal, then we can write this as:

x^2 + y^2 - 16*x + 6*y + 73 = g(x)^2 + (y + 3)^2

First we can expand the right side:

g(x)^2 + (y + 3)^2 = g(x)^2 + y^2 + 2*3*y + 9

Then we have:

x^2 + y^2 - 16*x + 6*y + 73 = g(x)^2 + y^2 + 6*y + 9

Now we can cancel the equal terms in each side, like y^2 and 6*y

x^2 - 16*x + 73 = g(x)^2 + 9

Now let's subtract 9 in each side:

x^2 - 16*x + 73 - 9 = g(x)^2

x^2 - 16*x + 64 = g(x)^2

Then we can assume that g(x) = (x - a)

then:

x^2 - 16*x + 64 = (x - a)^2 = x^2 - 2*a*x + a^2

-16*x + 64 = -2*a*x + a^2

now we must find the value of a, we have two equations:

-2*a = -16

a^2 = 64

and each equation yields to:

a = -16/-12 = 8.

a = √64 = 8

Then we have: g(x) = (x - 8)

Completing the squares, it is found that: [tex]g(x) = x - 8[/tex]

--------------------------------

The expression given is:

[tex]x^2 + y^2 - 16x + 6y + 73 = 100[/tex]

To complete the squares:

--------------------------------

Doing these steps:

[tex](x - 8)^2 + (y + 3)^2 = 100 - 73 + 8^2 + 3^2[/tex]

[tex](x - 8)^2 + (y + 3)^2 = 100 - 73 + 64 + 9[/tex]

[tex](x - 8)^2 + (y + 3)^2 = 100[/tex]

Which means that:

[tex]g(x) = x - 8[/tex]

A similar problem is given at https://brainly.com/question/16269892