What are the solutions to the equation x² + 16x + 14 = 0?

Let the cosecutive numbers be like this :

2n + 1 , 2n + 2 , 2n + 3 , 2n + 4 , 2n + 5

Odd , Even , Odd , Even , Odd

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So we have :

(2n+1)+(2n+3)+(2n+5)=(2n+2)+(2n+4) + 39

6n + 9 = 4n + 6 + 39

6n + 9 = 4n + 45

Subtract both sides 9

6n + 9 - 9 = 4n + 45 - 9

6n + 0 = 4n + 36

6n = 4n + 36

Subtract both sides 4n

6n - 4n = 4n - 4n + 36

2n = 0 + 36

2n = 36

Divide both sides by 2

2n ÷ 2 = 36 ÷ 2

n = 18

______________________________

So the numbers are :

2(18)+1 , 2(18)+2 , 2(18)+3 , 2(18)+4 , 2(18)+5

36 + 1 , 36 + 2 , 36 + 3 , 36 + 4 , 36 + 5

37 , 38 , 39 , 40 , 41

As u can see the Odd numbers are :

37 , 39 , 41

And we're done ...

Answer:

not building towns near the edge of a tectonic plate

Step-by-step explanation:

not building towns near the edge of a tectonic plate

Answers:

b = -10

c = 25

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Explanation:

If x = 5 is the only solution then (x-5) is the only factor. Turns out we have repeated solutions and repeated factors. Meaning (x-5)(x-5) = (x-5)^2 is what we're after.

Expand that out to get

(x-5)^2

x^2 - 5x - 5x + 25

x^2 - 10x + 25

Then compare this to x^2 + bx + c to find

b = -10

c = 25

If you were to solve x^2-10x+25 = 0, you'll find that x = 5 is the only root.

Answer:

3 x 10^3

Step-by-step explanation:

1.485 / 4.95 = 0.3

10^6 : 10^2 = 10^(6-2) = 10^4

0.3 x 10^4

3 x 10^3

The quotient of 1.485 x 10^6 and 4.95 x 10^2 expressed in science notation is 3 x 10^3

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10.

Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

WE need to find the quotient of 1.485 x 10^6 and 4.95 x 10^2 expressed in science notation.

So we have;

1.485 / 4.95 = 0.3

Therefore,

10^6 : 10^2

= 10^(6-2)

= 10^4

Hence, the scientific notation written as;

0.3 x 10^4

= 3 x 10^3

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Answer:

-18

Step-by-step explanation:

You can basically just drop the plus sign and remove the parenthesis because the plus sign doesn't alter negatives.

-6+(-12)

-6-12= -18

Answer:-18

Step-by-step explanation:

Answer:

Step-by-step explanation:

if u multiply the order of two matrix then the row is 2 and column is also 2 of a new matrix.

Answer:

विक्रय मुल्य=रु.63000

Step-by-step explanation:

खरिद मुल्य)- रु. 60,000 (cp)

नाफा (P%)=5 (p%)

विक्रय मुल्य =? (sp)

now,

sp=(100+p%)/100×cp

so, sp is Rs 63000.

hope it helps.

Answer:

height = 1/4y

Step-by-step explanation:

V(cylinder) = πr²h

V(cone) = πr²h ÷ 3

V(cyl) = πx²y

V(cone) = π(1/2x)²y which simplifies to be πx²y ÷ 4

πx²y = πx²y ÷ 4

if you divide each side by πx² you get:

y = y/4

height is 1/4y

68

Schools almost over, good luck!!

Answer:

A) 4 packs

B) $168.48

Step-by-step explanation:

A) Lily will need to bring 4 packs of bottled water because 3 bottles per guest is 37 times 3, which gives us 111 water bottles. If each pack has 36, divide 111 water bottles by 36 giving us 3.08333333333 packs. Since you cannot buy 3.08333333333 packs of bottled water, Lily will need to round up to the nearest whole number to insure that each guest has exactly 3 water bottles. When you round up it will be 4 packs of bottled water.

B) Because Lily is bringing 4 packs of bottled water to the party and each pack costs $42.12, multiply 42.12 by 4 to get $168.48 as the total cost of her purchase.

Answer:

Use a factor tree to express 60 as a product of prime factors. So the prime factorization of 60 is 2 × 2 × 3 × 5, which can be written as 2 2 × 3 × 5.

Answer:

Volume of triangular prism is given by formula

Volume of triangular prism = (Area of the base) x 12 (height of the prism)

now plug the given values

216= (area of the base) x 12

216/12 = area of the base

18= area of the base

so, the answer is 18 square cm

Answer:

Range.

Step-by-step explanation:

In Computer programming, a variable can be defined as a placeholder or container for holding a piece of information that can be modified or edited.

Basically, variable stores information which is passed from the location of the method call directly to the method that is called by the program.

For example, they can serve as a model for a function; when used as an input, such as for passing a value to a function and when used as an output, such as for retrieving a value from the same function. Therefore, when you create variables in a function, you can can set the values for their parameters.

Furthermore, the set of all values that a function will return as outputs is called the range of the function.

This ultimately implies that, the range of a function is simply a complete set of possible values that are generated from a dependent variable after a domain has been substituted. Thus, a range is the resulting values from a data set when all the possible input values have been substituted.

Answer:

[tex]\sqrt{a} + \frac{2\sqrt{ya} }{a} - 2\sqrt{y}[/tex]

Step-by-step explanation:

Simplify each term.

The rationalized and simplified form of the expression (√a + 2√y) / (√a - 2√y) is (a + 4√ay + 4y) / (a - 4y).

To rationalize the denominator and simplify the expression (√a + 2√y) / (√a - 2√y), we can use a technique called rationalizing the denominator.

First, we multiply both the numerator and denominator by the conjugate of the denominator, which is (√a + 2√y). This is done to eliminate the square root in the denominator.

(√a + 2√y) / (√a - 2√y) * (√a + 2√y) / (√a + 2√y)

Expanding the numerator and denominator:

(√a * √a) + (√a * 2√y) + (2√y * √a) + (2√y * 2√y) / ((√a * √a) - (√a * 2√y) + (2√y * √a) - (2√y * 2√y))

Simplifying:

a + 2√ay + 2√ay + 4y / (a - 2√ay + 2√ay - 4y)

Combining like terms:

a + 4√ay + 4y / (a - 4y)

Therefore, the rationalized and simplified form of the expression (√a + 2√y) / (√a - 2√y) is (a + 4√ay + 4y) / (a - 4y).

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Answer:

A

Step-by-step explanation:

Given

sinθ = [tex]\frac{4}{5}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]

This is a 3- 4- 5 triangle

with opposite = 4, adjacent = 3 and hypotenuse = 5

Since θ is in second quadrant then cosθ < 0

cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex] = - [tex]\frac{3}{5}[/tex] → A

Answer:

12%

Step-by-step explanation:

As per the provided information in the given question, we have :

We are asked to calculate,

As we know that,

[tex] \\ \longrightarrow \sf{\quad { \% \; increase =\Bigg ( \dfrac{Price \; increase}{Original \; price} \times 100 \Bigg ) \; \%}} \\ [/tex]

→ Price increase = New price - Original price

→ Price increase = Rs. ( 53.76 - 48 )

→ Price increase = Rs. 5.76

Substituting values,

[tex] \\ \longrightarrow \sf{\quad { \% \; increase =\Bigg ( \dfrac{5.76}{48} \times 100 \Bigg ) \; \%}} \\ [/tex]

[tex] \\ \longrightarrow \sf{\quad { \% \; increase =\Bigg ( \dfrac{576}{4800} \times 100 \Bigg ) \; \%}} \\ [/tex]

[tex] \\ \longrightarrow \sf{\quad { \% \; increase =\Bigg ( \dfrac{57600}{4800} \Bigg ) \; \%}} \\ [/tex]

[tex] \\ \longrightarrow \sf{\quad { \% \; increase =\Bigg ( \dfrac{576}{48} \Bigg ) \; \%}} \\ [/tex]

[tex] \\ \longrightarrow \bf{\quad\underline { \% \; increase = 12\; \%}} \\ [/tex]

Therefore, percentage increase is 12 %.

Answer:

See below

Step-by-step explanation:

A plane is a flat, two-dimensional surface that extends infinitely.

A point is a precise location on a plane.

A line is a one-dimensional figure that has only its length that extends infinitely.

Points are collinear if they all fall on the same straight line.

Points or lines are coplanar if they all fall on the same plane.

Line segments are a line with two endpoints on each end of the segment, which have a definite length.

Rays are lines that have one endpoint and the other end of the line extends infinitely with no endpoint.

Opposite rays are two rays that have a common endpoint that point in opposite directions and form a straight line.

Answer:21

Step-by-step explanation:

Answer:

Im pretty sure its 21

Step-by-step explanation:

21

Im sorry if its wrong

Answer:

153.9380400258yds is the answer

Answer:

J or the last one

Step-by-step explanation:

Other two wouldn't work since -37 is the least and 37% is 0.37 which is less than 0.72

Answer:

B & E

Step-by-step explanation:

___________________

Answer: D!!

Step-by-step explanation:

You need a common denominator (bottom number) to subtract!

Answer:

d

Step-by-step explanation:

I think it is D. Hopfully.

Answer:

Step-by-step explanation:

2/3*x=20

2x=20*3

x=60/2

x=30

Answer:

16.

Step-by-step explanation:

nth term = a1r^(n-1)

Here a1 = 1, n = 5 and r = 2/1 = 2.

5th term = 1 * (2)^(5-1)

= 1*2^4

= 16.

Answer:

-2

Step-by-step explanation:

Well since this line is parallel to y=3x-5 they must have the same slope

We are just solving for the y-intercept

We have a point (2,4) lets plug it into

y=3x+ b

4 = 3(2) +b

4= 6 +b

-2 = b

The value of b is -2

Answer:

B-value = -2

Step-by-step explanation:

In the picture below Orange line represents the line of "y = 3x - 5", since we know that the line passing through the point (2,4) is parallel to the given line, the slope of the line would be 3x as well. To find b-value or y-intercept we have to plot the point on the graph where the line passing through the points (2,4) intersects the y-axis, in this case it's at (0,-2), therefore the b-value = -2.

Hope this helps!

Here is the diagram:

Answer:3

Step-by-step explanation:

3-6*12