Evaluate:
2451(4n + 9) = [ ? ]
Please help

Answer:

- 4

Step-by-step explanation:

The set of all possible value that would make the above statement true must be less than 4.

Therefore the only option we have is -4

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*x^2+2*x^2+4-(-6*x)=0

Step by step solution :

STEP

1

:

Equation at the end of step 1

(((3 • (x2)) + 2x2) + 4) - -6x = 0

STEP

2

:

Equation at the end of step

2

:

((3x2 + 2x2) + 4) - -6x = 0

STEP

3

:

Trying to factor by splitting the middle term

3.1 Factoring 5x2+6x+4

The first term is, 5x2 its coefficient is 5 .

The middle term is, +6x its coefficient is 6 .

The last term, "the constant", is +4

Step-1 : Multiply the coefficient of the first term by the constant 5 • 4 = 20

Step-2 : Find two factors of 20 whose sum equals the coefficient of the middle term, which is 6 .

-20 + -1 = -21

-10 + -2 = -12

-5 + -4 = -9

-4 + -5 = -9

-2 + -10 = -12

-1 + -20 = -21

1 + 20 = 21

2 + 10 = 12

4 + 5 = 9

5 + 4 = 9

10 + 2 = 12

20 + 1 = 21

Equation at the end of step

3

:

5x2 + 6x + 4 = 0

STEP

4

:

Parabola, Finding the Vertex:

4.1 Find the Vertex of y = 5x2+6x+4

Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 5 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is -0.6000

Plugging into the parabola formula -0.6000 for x we can calculate the y -coordinate :

y = 5.0 * -0.60 * -0.60 + 6.0 * -0.60 + 4.0

or y = 2.200

Solve Quadratic Equation by Completing The Square

4.2 Solving 5x2+6x+4 = 0 by Completing The Square .

Divide both sides of the equation by 5 to have 1 as the coefficient of the first term :

x2+(6/5)x+(4/5) = 0

Subtract 4/5 from both side of the equation :

x2+(6/5)x = -4/5

Now the clever bit: Take the coefficient of x , which is 6/5 , divide by two, giving 3/5 , and finally square it giving 9/25

Add 9/25 to both sides of the equation :

On the right hand side we have :

-4/5 + 9/25 The common denominator of the two fractions is 25 Adding (-20/25)+(9/25) gives -11/25

So adding to both sides we finally get :

x2+(6/5)x+(9/25) = -11/25

Adding 9/25 has completed the left hand side into a perfect square :

x2+(6/5)x+(9/25) =

(x+(3/5)) • (x+(3/5)) =

(x+(3/5))2

Things which are equal to the same thing are also equal to one another. Since

x2+(6/5)x+(9/25) = -11/25 and

x2+(6/5)x+(9/25) = (x+(3/5))2

then, according to the law of transitivity,

(x+(3/5))2 = -11/25

We'll refer to this Equation as Eq. #4.2.1

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

(x+(3/5))2 is

(x+(3/5))2/2 =

(x+(3/5))1 =

x+(3/5)

Now, applying the Square Root Principle to Eq. #4.2.1 we get:

x+(3/5) = √ -11/25

Subtract 3/5 from both sides to obtain:

x = -3/5 + √ -11/25

In Math, i is called the imaginary unit. It satisfies i2 =-1. Both i and -i are the square roots of -1

Since a square root has two values, one positive and the other negative

x2 + (6/5)x + (4/5) = 0

has two solutions:

x = -3/5 + √ 11/25 • i

or

x = -3/5 - √ 11/25 • i

Note that √ 11/25 can be written as

√ 11 / √ 25 which is √ 11 / 5

Answer:

262 feet²

Step-by-step explanation:

2(5×8 + 5×7 + 8×7)

2(40+35+56)

2(131)

262

---

hope it helps

Answer:

9/16 <fraction    0.5625 <decimal   56.25%

Step-by-step explanation:

Answer:

1.86952 ounces

Answer:

720 I think not sure if im right

Answer: 720 pennies

Step-by-step explanation:

1/2 = 3/6 and 2/3 = 4/6

So the 120 pennies she added was 1/6 of the total size

6 x 120 = 720

Interest calculator for a $600 investment. How much will my investment of 600 dollars be worth in the future? Just a small amount saved every day, week, or month can add up to a large amount over time. In this calculator, the interest is compounded annually.

Answer:

THATS OUR TOPIC ALL YOU NEED IS

hope it helps

Answer:

3

Step-by-step explanation:

for the first word in three, its they are basically makes the most sense.

Answer:

3 because it is very correct and sounds normal

Answer: false

Step-by-step explanation:

Answer:

False because a sequence is geometric if common ratio of all terms of sequence is same.

here 8/6 is not equal 11/8.

Eg: the sequence 3,6,12,… is geometric because 6/3 = 12/6.

Answer:

2x the correct answer okay

Answer:

Option 2,    3(5y-11) - 2

Hope this helps!

Explanation:

The angles do not need to be touching, or adjacent, for them to be supplementary. They simply need to add to 180 degrees.

We have 70+110 = 180, so that proves the angles are supplementary. They can be rearranged to glue together to form a straight angle.

If the angles were supplementary and adjacent, then we can consider them as a linear pair. This is possibly what Suzie might be thinking about.

Answer:

d

Step-by-step explanation:

The correct option is C. The amount of time in the sun is the response

variable.

Given, An experiment is conducted to measure the  effectiveness of a brand of sunscreen.

A response variable measures an outcome of a study. An explanatory variable attempts to explain the observed outcomes. The explanatory variable is usually called independent and the response variable is called dependent.

From the above definition it is clear that A response variable is dependent quantity so here in question, option c states that the amount of time in the sun is the response variable which is right because it is totally depend on the brand of sunscreen.

Hence  the correct option is C. The amount of time in the sun is the response

variable.

For more details on response variable follow the link:

https://brainly.com/question/5598457

Answer:

E. There is an 80% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.

Step-by-step explanation:

The correct option is - E. There is an 80% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.

Answer:

648π cm³

Step-by-step explanation:

Hi there!

The formula to find the volume of a cylinder is r²πh, where r is the radius, π is pi, and h is the height

first, let's find the area of the circle (r²π)

we are given that the radius is 9 cm

so we can square the 9, which is the same as multiplying it by itself

(9*9)=81π

Your answers leave everything in pi, so we can leave the area of the circle as is :)

now, multiply 81π by the height, which is given as 8 cm

81π*8=648π

therefore the answer is 648π cm³

Hope this helps!

Answer:

c

Step-by-step explanation:

The statement which explains the given options will be Drivers may drive more carefully on rainy days, so the number of speeding tickets decreases. Hence, option C is correct.

According to the Traffic Ordinance, disobeying a rule or following a piece of advice inside the Road Users' Code is not in and of itself an offense, but any such rejection may be looked into in any deliberations (as to if civil or criminal, including litigation for an offense underneath the Road Traffic Ordinance), and may also be relied upon for establishing or negating any liability.

However, it should be emphasized that several of the guidelines in the Car Drivers' Code exactly mirror the law, and anyone who violates these guidelines may be breaking the law.

It means that on rainy days, divers drive very carefully as compared to other days.

To know more about traffic rules:

https://brainly.com/question/28879065

#SPJ2

Answer:

n/9

Step-by-step explanation:

Answer:

n/9

Step-by-step explanation:

Answer:

6.3

Step-by-step explanation:

Two sides are 9.6 meters long. The perimeter is 31.8 meters.

31.8-9.6-9.6=12.6 the remaining two sides.

12.6/2=6.3 represents the lengths of the other twp sides.

Answer:12.2

Step-by-step explanation:31.8-(9.6x2)=12.2

Answer:

is there supposed to be a picture here?

Step-by-step explanation:

Answer:

A. 32

Step-by-step explanation:

y varies inversely as x

y = k/x

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

y = 24 when x = 4

find k, the constant of variation

24 = k/4

multiply both sides by 4

96 = k

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

find y when x = 3

using k = 96

y = 96/3

y = 32

Answer:

[tex]1 * 858,\ 2 * 429,\ 3 * 286,\ 11 * 78,\ 13 * 66,\ 6 * 143,\ 22 * 39,\ 26 * 33[/tex]

Step-by-step explanation:

Given:

[tex]Number = 858[/tex]

Required

List all its distinct product of two numbers

First, we list out the prime factors of the given number.

We have:

[tex]Number = 2 * 3 * 11 * 13[/tex]

So, the possible products are:

(1) 1 and the integer itself.

[tex]1 * 858 = 858[/tex]

(2) 1 prime factor and the product of other primer factors

[tex]2 * 429 = 858[/tex]

[tex]3 * 286 = 858[/tex]

[tex]11 * 78 = 858[/tex]

[tex]13 * 66 = 858[/tex]

(3) A pair of prime factors and the product of remaining primer factors

[tex]6 * 143 = 858[/tex]

[tex]22 * 39 = 858[/tex]

[tex]26*33 = 858[/tex]

Hence, the list are:

[tex]1 * 858,\ 2 * 429,\ 3 * 286,\ 11 * 78,\ 13 * 66,\ 6 * 143,\ 22 * 39,\ 26 * 33[/tex]

Answer:

34 beads are purple so for every 19 pink there are 34 purple hope this helps

Answer:

0.14

Step-by-step explanation:

Using the poisson probability relation :

P(x = x) = (λ^x * e^-λ) ÷ x!

From the question ; mean, λ = 5 ; x = 3

Hence,

P(x = 3) = (5^3 * e^-5) ÷ 3!

P(x = 3) = (125 * 0.0067379) / 6

P(x = 3) = 0.8422375 / 6

P(x = 3) = 0.140

Answer: x = -3 or if not solving for x then -2x -6

Step-by-step explanation:

1 - 2x - 7 = 0

-6 - 2x = 0

add 2x on both sides

-6 = 2x

divide 2 on both sides

-6/2 = x

x = -3