f(x) = 4x^2 + 2x + 6
What is the value of the discriminant of f?
How many distinct real number zeros does f have?

Answer:

Option C. (2x+3)(6x – 5) is the correct answer.

Step-by-step explanation:

Given polynomial(trinomial) is:

[tex]12x^2 + 8x - 15[/tex]

The given trinomial is quadratic. Factorization will be as follows:

Multiplying the co-efficient of x^2 and the constant results in 180. We have to make factors of 180 in such a way that their sum of difference is equal to the co-efficient of x.

The required factors are 18 and 10

So,

[tex]=12x^2+18x-10x-15\\=6x(2x+3)-5(2x+3)\\= (6x-5)(2x+3)[/tex]

Hence,

Option C. (2x+3)(6x – 5) is the correct answer.

Answer:

56.0 on edge

Step-by-step explanation:

Since Jack’s head has a circumference in the 16th percentile, his head circumference is 56.0 centimeters.

We know that In a normal distribution, a percentile is a value that has a certain percentage of observations below it.

The Z score is defined as "a numerical measurement used in statistics to determine a value's relationship to the mean (average) of a group of values, expressed in standard deviations from the mean."

Z score can be calculated as

Z = (x - μ)/σ

Here, mean = μ = 57.5 centimeters

standard deviation = σ = 1.5 centimeters

Let the circumference of Jack’s head = x centimeters

The percentile = 16

Z value for 16 percentile = - 0.994

So, (x - 57.5)/1.5 = - 0.994

i.e. x - 57.5 = - 0.994*1.5 = - 1.491

i.e. x = - 1.491 + 57.5 = 56.009

The nearest tenth value for 56.009 is 56.0

Then Jack's head circumference is 56.0 centimeters.

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Answer:40%

Step-by-step explanation:

50/10=5

5=10%

5*4=20

20=40%

Answer:

The answer is 40

Step-by-step explanation:

Lemme know if I'm wrong

Answer:

1

Step-by-step explanation:

All of the marbles are yellow, so it’s impossible not to pick a yellow marble.

Answer:1/1 (100 percent)

Step-by-step explanation: All ten marbles are all yellow, meaning if you were to reach in the bag, the marble has to be yellow.

Answer:

x = 3

y = 17  

or (3,17)

Step-by-step explanation:

y = 4x + 5

y = -1/3x - 8

4x + 5 = -1/3x - 8

4x = -1/3x - 13

12x = -x - 39

13x = -39

x = 3

y = 4(3) + 5

y = 12 + 5

y = 17

Answer:

The answer is (0,-5/4)

Dis

Answer:

the answer is [tex]y=\frac{1}{4}x-\frac{5}{4}[/tex]

Step-by-step explanation:

Answer:

The interpretation is

   There is not sufficient evidence to support the claim that [tex]\mu = 43.6[/tex]

Step-by-step explanation:

From the question we are told that

  The population mean is  [tex]\mu = 43.6 \ years[/tex]

Generally

    The null hypothesis is  [tex]H_o : \mu = 43.6[/tex]

Given from the question that the null hypothesis was rejected then the conclusion will be

   There is not sufficient evidence to support the claim that [tex]\mu = 43.6[/tex]

Answer:

432 in²

Step-by-step explanation:

6 sides

18x9=162

18x9=162

9x2=18

9x2=18

18x2=36

18x2=36

162+162+18+18+36+36=432 in²

Answer:

324

Step-by-step explanation:

Formula: L x W x H

L is 9

W is 18

H is 2

So the answer would be 324 in squared

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

here x = 20 and y = 50.....

Answer:

my bad but give me them points

Answer:

The positive angle that less than 360° and is conterminal with -289° is 71°

Step-by-step explanation:

Let us solve the question

∵ The measure of the angle is -289°

→ Add its measure by 360° to find the positive angle that is conterminal

   with it

∵ The measure of the positive angle = -289° + 360°

∴ The measure of the positive angle = 71°

The positive angle that less than 360° and is conterminal with -289° is 71°

Answer:

A diameter of 16 inches will give the largest slice

Step-by-step explanation:

Step 1: Statement of optimization

largest slice of pizza = maximum area of the sector

Step 2: Formula for area and perimeter of sector:

Area of sector, A = 1/2r²θ

Perimeter of sector, P = 2r + rθ

Step 3: Determining the constraint

The perimeter, P, must be equal to 36 inches ie. 2r + rθ = 32

Therefore, θ = 32 -2r/r

Substituting θ in the formula for area;

A = 1/2r²(32 -2r/r)

A = -2r² + 16r

The domain of A(r)  = 0 < r < 16

Step 4: Determine the maximum of object function

Critical point of A(r) , A'(r) = - 2r + 16

when A' = 0

r = -16/-2

r = 8

since, diameter, d = 2r,

Therefore, a diameter of 16 inches will give the largest slice

Answer:

lines

Step-by-step explanation:

Answer:

73929

Step-by-step explanation:

Answer:

What do you need help with?

Step-by-step explanation:

Answer:

the answer is 112

Step-by-step explanation:

7² = 49.

4² = 16.

49+3(16+3+2) = 49+3(21) = 49+63 = 112

Answer:

112

Step-by-step explanation:

7² + 3(4² + 3 + 2)

First, exponents

49 + 3(16 + 3 + 2)

Next, distribute 3 to 16, 3, and 2

49 + 48 + 9 + 6

Add 49 and 48

97 + 9 + 6

Add 97 and 9

106 + 6

Add 106 and 6 together to get the answer:

112

I Hope That This Helps! :)

Answer: -3

[tex](-2-\sqrt{7})(-2+\sqrt{7})=(-2).(-2)-2\sqrt{7}+2\sqrt{7}-7=4-7=-3[/tex]

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Simply multiply the radicals to get the answer.

Answer:

You don't have a picture, so it's hard to answer. Type the equation in the graphing calculator feature of desmos.

Step-by-step explanation:

Answer:

yc8yc8yc8yc8yc8yc8ycy9c9ycy9ch9chocuocoucoucuocyocryzw4Utvojcr6Ciye5tucyyize5zigvtuZgu igz64

Answer:

c

Step-by-step explanation:

Answer:

82.353

Step-by-step explanation:

This is just a conversion from fraction to percentage

hence, take 70 x 100 / 85 = 82.353/100 (5 s.f.) or simply 82.353%

This is a topic known as Percentage. If you would like to find out more, you can follow my Instagram page (learntionary). I'll be posting useful mathematics notes now and then created by myself :)

Answer:

4.8 months

Step-by-step explanation:

150+40.50x=120+46.75x

subtract 40.50 on both sides

150=120=6.25x

subtract 120 on both sides

80=6.25x

divide by 6.25x

x=4.8

The number of months for which you would pay the same total fee to both gyms is 4.8 months.

For the given situation we need to formulate an equation.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of months be x.

Flex Gym charges a membership fee of $150 plus $40.50 per month to join the gym = 150+40.50x

A rival gym, Able Gym, charges a membership fee of $120 plus $46.75 per month = 120+46.75x

So equation is 150+40.50x = 120+46.75x

46.75x-40.50x=150-120

⇒ 6.25x=30

⇒ x=4.8

Therefore, the number of months for which you would pay the same total fee to both gyms is 4.8 months.

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

Flex Gym charges a membership fee of $150 plus $40.50 per month to join the gym. A rival gym, Able Gym, charges a membership fee of $120 plus $46.75 per month.

Find the number of months for which you would pay the same total fee to both gyms. write the equation:

Answer:

10+10=20

debes  omer bien putasc

Answer:

1. Length in terms of width is 5000/W meters

2. Solving for b gives us: [tex]b = \frac{2A}{h}[/tex]

3.  Solving for t gives us: [tex]t = \frac{i-f}{g}[/tex]

4. Solving for P gives us:

[tex]W = \frac{P}{2} - L[/tex]

Step-by-step explanation:

1. The formula A = L x W gives the area of a rectangle R. The area of a rectangular garden is 5000sqm.  What is the garden's length in terms of width?

Given that

[tex]A= L*W[/tex]

Also given that A = 5000 square meters.

Now,

[tex]5000 = L * W[/tex]

Dividing both sides by W

[tex]\frac{L*W}{W} = \frac{5000}{W}\\L = \frac{5000}{W}[/tex]

So,

Length in terms of width is 5000/W meters

2. The formula for the area of a triangle is A = ½ bh, where b is the length of the base, and h is the height. Solve for b

The given formula is:

[tex]A = \frac{1}{2}bh[/tex]

Solving it for b means that the we have to isolate b

So,

[tex]A = \frac{1}{2}bh\\2A = 2. \frac{1}{2}bh\\2A = bh\\\frac{2A}{h} = \frac{bh}{h}\\b = \frac{2A}{h}[/tex]

Solving for b gives us: [tex]b = \frac{2A}{h}[/tex]

3. The formula for an object’s final velocity is f = i – gt, where i is the object’s initial velocity,  g is acceleration due to gravity, and t is time. Solve for t.

Given

[tex]f = i-gt\\Now\\f+gt = i\\gt = i-f\\\frac{gt}{g} = \frac{i-f}{t}\\t = \frac{i-f}{t}[/tex]

Solving for t gives us: [tex]t = \frac{i-f}{g}[/tex]

4. Own Question: The perimeter of a rectangle is given by P = 2(L+W). Solve for width.

[tex]P = 2(L+W)\\\frac{P}{2} = \frac{2(L+W)}{2}\\\frac{P}{2} = L+W\\\frac{P}{2} - L = W[/tex]

Solving for P gives us:

[tex]W = \frac{P}{2} - L[/tex]

Answer:

$136.61 per student

Step-by-step explanation:

3825 divided by 28 = $136.61

Answer: don’t even know but yea

Step-by-step explanation:

Also who wants some monsters

Answer:

i think it's c but I'm not 100% sure

Answer:

A

Step-by-step explanation:

Answer:

Europe is a continent that for some time now has had a problem with its population. The reason for it is that Europe's birthrates have been very low, not enough even for just maintaining the same number of population, as the birthrates are below 2 children per wife all countries apart from three.

The only three countries where the average is more than 2 children per women are Ireland, Albania, and Kosovo, all of which are small countries with small populations.

Also the life expectancy in Europe is relatively high, so the older population is constantly increasing, thus resulting in an aging population.

Of course the elderly people will eventually pass away, and with the smaller and smaller number of youngsters and very low birthrates the continent will constantly lose more and more population.

Answer:

The percentage of people over the age of 65 and under the age of 15 in Europe is currently the same at 16% each. Therefore, the majority of the population is between the ages of 16 and 64. In forty years from now, in 2050, a greater percentage of the population will be over the age of 65. Europe also has a relatively long life expectancy of 75 years. This, combined with a low birth rate means that by 2050 Europe’s population will actually be less than it is today.

Step-by-step explanation:

Possible answer Edge 2020

Answer:

Step-by-step explanation:

155-26.50(2)=102 left

102/3- 34 each sweater

s=sweater

s≤34