What is the common difference for this arithmetic sequence?
54, 50, 46, 42, 38, .
A. 4
B. -4
C. 34
D. 54

Cannot determine the nature of roots.

The Nature of roots simply means the category in which the roots are falling upon. The roots may be imaginary, real, unequal or equal. If the discriminate is negative, the roots will be imaginary.

The nature of roots of quadratic equations (in the form ax^2 + bx +c=0) we need to calculate the discriminant, which is b^2 - 4 a c. When discriminant is greater than zero, the roots are unequal and real. When discriminant is equal to zero, the roots are equal and real.

The Discriminant of a polynomial is a quantity that depends on the coefficients and allows deducing some properties of the roots without computing them. More precisely, it is a polynomial function of the coefficients of the original polynomial.

Given that ,

 b2 – 4ac

first we arrange terms in descending order -4ac + 2b

then find discriminant of quadratic equation :Δ =  4

Identify a, b, c through co-efficient:

a = 0

b= -4c

c = 2b

Substitute the value of a, b, c and calculate discriminant

([tex]b^{2} -[/tex] 4ac)

Δ = [tex]16c^{2}[/tex] determine number of solutions with discriminant:

Can't determine the nature of roots.

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Answer:

B

Step-by-step explanation:

Only one in which x is not more than one number matching y in function.

The table 4 represent the function.

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

The function should have distinct input with corresponding output.

If there are 2 same input vales then it not said to be a function.

So, according the definition the table 4 represent the function because the table 1, 2 and 3 have repeated input value,

Hence, the table 4 represent the function.

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Answer:

x = -2

y = -10

( -2, -10)

Step-by-step explanation:

set them equal

5x = 9x + 8

subtract 9x

-4x = 8

divide by -4

x = -2

plug in x

y = 5(-2)

y = -10

Answer:

ur x intership is (4) and ur y intership is (1)

Step-by-step explanation: its where the dots are or are u doing an equation?

Answer:

3

Step-by-step explanation:

I think ttttttttttttttttttttt

Answer: 4z + 3

Step-by-step explanation:

Number of books read by Zeke = z

Michelle read twice as many book as Zeke. This will be: = 2 × z = 2z

Tay read 3 more books than Zeke. This will be: = z + 3

The expression that represents the total number of books read over the summer by Zeke, Michelle and Tay would be the addition of the books read by each person. This will be:

= z + 2z + z + 3

= 4z + 3

Answer:

y = -3x + 30

Step-by-step explanation:

First, find the slope using the slope formula:

m = (y2 - y1) / (x2 - x1)

m = (9 - (-3)) / (7 - 11)

m = -12/4

m = -3

Next, find the y-intercept by substituding one of the two points into what the equation is so far:

y = -3x + b

(7, 9)

9 = -3(7) + b

9 = -21 + b

30 = b

Now you have the full equation:

y = -3x + 30

Answer:

I dont know if this is right but I think its 125/343

Answer:

c

Step-by-step explanation:

The answer is: 8m=152

The following cases for the solutions of a system of linear equations are listed below:

In this problem we find the case of a system of linear equations with two variables, of which we must determine the nature of its dependent constants for the following three cases:

The implicit form of this system is shown below:

a · x - y = - b                (1)

c · x - y = - d                (2)

According to the linear algebra, a system of linear equations has no solutions if the determinant of the matrix of dependent coefficients is equal to zero. Then, by Cramer's law we find that:

a - c = 0

a = c

Therefore, the system of linear equations has no solutions for a = c.

Also by linear algebra, we know that the two linear equations have infinite solutions if and only if both equations are multiples of each other, then:

a · x - y + b = k · (c · x - y + d)

a · x - y + b = (k · c) · x - k · y + (k · d)

The system has infinite solutions when a = k · c and b = k · d.

Then, the system has only one solution if and only if a ≠ k · c and b ≠ k · d.

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Answer: 6 bags

Step-by-step explanation:

     We will divide the total amount [3/4 pounds] by the amount per bag [1/8 pound] to find how many bags he can make.

    After writing the problem, we will use "Keep, change, flip" (Keep the first fraction, change to multiplication, flip the second fraction).

[tex]\displaystyle \frac{3}{4}\ \text{pounds} \div \frac{1}{8} \ \text{pounds}[/tex]

[tex]\displaystyle \frac{3}{4}\ \text{pounds} * \frac{8}{1} \ \text{pounds}[/tex]

[tex]\displaystyle \frac{3*8\ \text{pounds}}{4*1\ \text{pounds}}\[/tex]

[tex]\displaystyle \frac{24}{4}\[/tex]

6 bags

Answer:

Step-by-step explanation:

[tex]2 {a}^{2} b + 6a {b}^{2} [/tex]

Factor out common term : 2ab

[tex] 2 {a}^{2}b \div 2a = a \\ 6a {b}^{2} \div 2ab = 3b \\ 2ab(a + 3b)[/tex]

[tex]2a^2b+6ab^2[/tex]

Perhaps, you mean 6ab² (If not please remind me.)

Factoring the polynomials can be done by pulling out the terms that can be divided by that terms.

For example, [tex]2x^2+4[/tex]    We can divide the whole polynomial by 2. Thus, we factor 2 out of the polynomial as we get [tex]2(x^2+2)[/tex] -- Factoring is like dividing, but instead - we pull them out.

Now let's get back to the question.

Notice that the polynomial can be divided by 2, a and b.

So we pull 2, a and b out of the polynomial and divide them.

[tex]\frac{2a^2b+6ab^2}{2ab}\\a+3b[/tex]

When dividing, we should get a + 3b.

Then we pull out 2ab outside the bracket.

[tex]2ab(a+3b)[/tex]

Thus, the answer is 2ab(a+3b)

Answer:

C

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the 2 other sides, that is

x² + 6² = 17²

x² + 36 = 289 ( subtract 36 from both sides )

x² = 253 ( take the square root of both sides )

x = [tex]\sqrt{253}[/tex] → C

Answer:

The larger wheel is 10979.04098 more than the smaller wheel.

Step-by-step explanation:

Given that,

The circumference of the great wheel was twelve thousand and forty-one thousandth inches.

C = 12000.041 inches

The circumference of the lesser wheel was only one thousand twenty-one and two hundred-thousand inches.

C' = 1021.00002 inches

We need to find how much larger was the great wheel. To find it, take the difference of C and C'.

C-C' = 12000.041 inches - 1021.00002 inches

= 10979.04098 inches

Hence, the larger wheel is 10979.04098 more than the smaller wheel.

Answer:

x = - 1, y = 1

Step-by-step explanation:

Given the 2 equations

2y + 7x = - 5 → (1)

5y - 7x = 12 → (2)

Adding the2 equations term by term will eliminate the term in x, that is

7y = 7 ( divide both sides by 7 )

y = 1

Substitute y = 1 into either of the 2 equationsand solve for x

Substituting into (1)

2(1) + 7x = - 5

2 + 7x = - 5 ( subtract 2 from both sides )

7x = - 7 ( divide both sides by 7 )

x = - 1

solution is x = - 1, y = 1

Answer:

r = -1

Step-by-step explanation:

-6 + 4r = 2(r - 4)

-6 + 4r = 2r - 8

+6 +6

4r = 2r - 2

-2r -2r

2r = -2

/2 /2

r = -1

hope this helps

Answer:

37.8

Step-by-step explanation:

Answer:

Keep the ladder at a 66 degree angle of elevation at most.

Step-by-step explanation:

Hypotenuse is 20 feet

Adjacent side is 8 feet

We use inverse cosine to find the angle

arccos(8/20) = 66.4 deg

Answer:

Because they both have 65 degree angles and are both triangles

Step-by-step explanation:

Answer:

because they have the same bottom degrees

Step-by-step explanation:

Answer:

A. A variable

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

5 =5v^+^

Answer:

she will need one box to make one gallon. If the question is correct, she will ned one box.

Step-by-step explanation:

-12 * 4= 48 and -12+4= -8

Answer: is 10

Step-by-step explanation:input :

Changes made to your input should not affect the solution:

(1): "3.4" was replaced by "(34/10)". 4 more similar replacement(s)

STEP

1

:

17

Simplify ——

5

Equation at the end of step

1

:

89 14 65 17

((——-(——•x))+(——•x))+——

10 10 10 5

STEP

2

:

13

Simplify ——

2

Equation at the end of step

2

:

89 14 13 17

((——-(——•x))+(——•x))+——

10 10 2 5

STEP

3

:

7

Simplify —

5

Answer:

We get the value of x: x = 3

Step-by-step explanation:

Point G lies between points F and H on Line segment F H.

Space between F and G = 4x

Space between G and H = 2x

Length of FH = 18

We need to find value of x.

As point G lies between point F and H, sum of FG and GH will give FH, we can write

[tex]FG + GH = FH[/tex]

Putting values to make equation

[tex]4x + 2x = 18[/tex]

Now, solving the equation we can find value of x

[tex]4x + 2x = 18 \\6x=18\\x=\frac{18}{6}\\x=3[/tex]

So, we get the value of x: x = 3

Answer:

dlfkv

Step-by-step explanation:

Answer:

d brainest plz

Step-by-step explanation: