Is the discriminant of g positive, zero, or negative?

Answer:

The recursive formula for this arithmetic sequence would be [tex]a_{1} = 37[/tex], [tex]a_{i} = a_{i-1} + 30[/tex].

Step-by-step explanation:

A recursive formula is a formula that defines each term of a sequence using the preceding term(s). Recursive formulas must always state the initial term, or terms, of the sequence, as well as an equation defining [tex]a_{i}[/tex] in terms of preceding terms. Since the first term of this sequence is 37, that means [tex]a_{1} = 37[/tex]. The pattern in this arithmetic sequence between each term in ascending order would be 30 more than the previous term, so you can create the function [tex]a_{i} = a_{i-1} + 30[/tex]. So the recursive formula for this arithmetic sequence would be [tex]a_{1} = 37[/tex] and [tex]a_{i} = a_{i-1} + 30[/tex].

Answer: 6472

Step-by-step explanation:

You have to multiply and add

Answer:

y= 5x + 100

Step-by-step explanation:

Hope this helps out! :)

Answer:

c=13

Step-by-step explanation:

a^2+b^2=c^2

25+144=169

The square root of 169 is 13.

Answer:

c= 13

Step-by-step explanation:

a^2+b^2= c^2 = 25+144= 169 root of 169 is 13

Answer:

I think the answer would be D. 20 hope it helps

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Area = length times width, in this case, both length and width is x.

While 5 and 2 are the lengths and widths for the unshaded part.

x^2 = whole square

x^2 - (5)(2) = area of shaded region

Answer:

its    -$3.17

Step-by-step explanation:

500-5=495

200-5=195

the remainder of the tickets is -$5

the expected value is $495 x 1/600 + $ 19583/600 + (-$5) 596/600= -$3.17

Answer:

x=0 or x=-3/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

4²=16

5²=25

so √24 is between 4 and 5.

Answer:

1: True, 2: False

Step-by-step explanation:

With the first one, probability by defintion is the odds of if an event will happen or not, so it is true.

With the second one, it is false as if something is for sure going to happen, it will have a 100% or "1" chance of occurring. If it has a 1% chance of occuring, it would be 0.01.

Answer:

c i believe

Step-by-step explanation:

brainliest?

Answer:

The answer is C

Step-by-step explanation:

The line is pointing towards the right and the mark on -3 is shaded in.

Answer:

16 2/25

Step-by-step explanation:

1608 / 10^2

1608/100

16 8/100

16 4/50

16 2/25

Answer:

1.608

Step-by-step explanation:

1608 ÷ 1000 = 1.608

Answer:

1,809.98 lb*m/s^2

Step-by-step explanation:

First, we want to know how much weight of the boulder is projected along the path in which the boulder can move.

The weight of the boulder is:

W = 322lb*9.8 m/s^2 = (3,155.6 lb*m/s^2)

This weight has a direction that is vertical, pointing downwards.

Now, we know that the angle of the hill is 35°

The angle that makes the direction of the weight and this angle, is:

(90° - 35°)

(A rough sketch of this situation can be seen in the image below)

Then we need to project the weight over this direction, and that will be given by:

P = W*cos(90° - 35°) = (3,155.6 lb*m/s^2)*cos(55°) = 1,809.98 lb*m/s^2

This is the force that Samuel needs to exert on the boulder if he wants the boulder to not roll down.

Answer:

A (8.1 x 10^10)

Step-by-step explanation:

1. 1 billion is 1,000,000,000 or 10^9

2. 81 Billion should be 81 x 10^9, but the correct notation should always show a single digit number, so you need to also divide 81 per 10

3. Thus, the answer is 8.1 x 10^10

Answer:

8.1 × 10^10

:)

The ratio of red squares to blue squares is 3 : 7

The ratio of blue squares to total squares is 7 : 10

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

The number of red squares = 15

The number of blue squares = 35

Now , the total number of squares is N = 50 squares

a)

The ratio of red squares to blue squares is = number of red squares / number of blue squares

The ratio of red squares to blue squares is = 15 / 35

The ratio of red squares to blue squares is = 3 : 7

b)

The ratio of blue squares to total squares is = number of blue squares / total number of squares

The ratio of blue squares to total squares is = 7 : 10

Hence , the proportion is solved

To learn more about proportion click :

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The complete question is :

A quilt is made of 15 red squares and 35 blue squares. Find the ratio, in lowest terms of:

a) The ratio of red squares to blue squares

b) The ratio of blue squares to total squares

Answer:

1 1/5 in fraction form :))

Answer:

y² - 4

Step-by-step explanation:

Give the expression :

"the square of y decreased by the quotient of 28 and 7"?

Expressing Mathematically ;

Square of y = y²

Quotient of 28 and 7 is obtained by taking the division of 28 by 7

Dividing 28 by 7 ; 28/7 = 4

Hence, decreasing y² by 4 ; we have ;

y² - 4

Answer:

x = 4 units

Step-by-step explanation:

By geometric mean theorem:

Length of perpendicular

[tex] =\sqrt{2\times 6}[/tex]

[tex] =\sqrt{12}[/tex]

Next, by Pythagoras theorem:

[tex] x^2 = 2^2 + (\sqrt {12})^2 [/tex]

[tex] \therefore x^2 = 4 + 12 [/tex]

[tex] \therefore x^2 = 16 [/tex]

[tex] \therefore x =\sqrt{ 16 }[/tex]

[tex] \therefore x =4\: units[/tex]

Answer:

Step-by-step explanation:

x-y=14

x-1/3y=1/10

-y=14-x

y=-14+x

take out the factors

x-10/30y=3/30

30x-10y=3

substitute

30x-10(-14+x)=3

30x+140-10x=3-140

20x/20=-137/20

x=-6.85

y=-14+(-6.85)

y=-20.85

The two numbers are 143/20 and 423/20.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that, the difference between two numbers is 14.

Let the smaller number be x and the larger number be y.

Here, y-x=14 ------------(i)

If 1/3 of the larger number is subtracted from the smaller number ,the result equals 1/10.

1/3 of larger number is 1/3 y

x-y/3 =1/10 ------------(ii)

From equation (i), substitute y=14+x in equation (ii), we get

x-(14+x)/3 =1/10

10(3x-14-x)=3

30x-140-10=3

20x-140=3

20x=143

x=143/20

Substitute x=143/20 in equation (i), we get

y-143/20=14

y=14+143/20

y=(280+143)/20

y=423/20

Therefore, the two numbers are 143/20 and 423/20.

To learn more about the linear system of an equations visit:

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Answer:

x = -11 5/17

Step-by-step explanation:

3x + 2y = 12

2x - 3y = -57

5x + y =  -45

y = -5x - 45

2x - 3 (-5x - 45) = -57

2x + 15x + 135 = -57

17x + 135 = -57

17x = -192

x = -11 5/17

Answer:

(-4 - 2)

Step-by-step explanation:

-8 (1/2 + 1/4) = -6/1  = -6

-4 - 2 = -6

Answer:

The sum of complementary angles is 90 degrees.

Step-by-step explanation:

Answer:

4x+50=90

4x=40

x=10

Step-by-step explanation:

good luck

Answer:

Answer is Lee Ann wrote the right equation.

Step-by-step explanation:

2/8 equals 25%, which equals 1/4, half of 25% is 12.5%, so 25% plus 12.5% equals 37.5%.

37.5% in decimal form is 0.375.

Therefore Lee Ann is correct.

Answer:

Whats the question and if its adding the answer is 790.12

Step-by-step explanation:

Also, if you could answer my question that'dd be great!

Answer:

the answer is to this question is f(x)=46

Answer:

I believe it is C

Step-by-step explanation:

Sorry if I got it wrong but hopefully you got it right