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2 years ago

What is the next number in the sequence? -1, 5, -25

Mathematics

1 answer:

Akimi4 [234]2 years ago

3 0

Answer:

125

Step-by-step explanation:

Multiplies by -5

-5*-1=5

5*-5=-25

-25*-5=125

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Solve the system of equations using substitution.

faltersainse [42]

Answer:

( $\frac{1}{3}$ , 3 )

Step-by-step explanation:

Given the 2 equations

y = 9x → (1)

6x - y = - 1 → (2)

Substitute y = 9x into (2)

6x - 9x = - 1, that is

- 3x = - 1 ( divide both sides by - 3 )

x = $\frac{1}{3}$

Substitute x = $\frac{1}{3}$ into (1) for corresponding value of y

y = 9 × $\frac{1}{3}$ = 3

Solution is ( $\frac{1}{3}$ , 3 )

6 0

2 years ago

The dot plots below show the number of points scored by Sam and Daniel in 15 basketball games.

Bas_tet [7]

Answer:

Step-by-step explanation:

Sam median = 12 which has 3 points scored.

Daniel median = 16 which has 3 points scored.

Both scored the same amount of data which is 3 points.

Both the ranges are 16. so it cant be A or C.

3 0

2 years ago

Use determinants to find out if the matrix is invertible.

wariber [46]

Answer:

The matrix is not invertible.

Step-by-step explanation:

We are given the following matrix in the question:

$A =\left[\begin{array}{ccc}-5&0&1\\-1&3&2\\0&10&6\end{array}\right]$

Condition for invertible matrix:

A matrix is invertible if and only if the the determinant is non-zero.

We can find the determinant of the matrix as:

$|A| = -5[(3)(6)-(2)(10)]-0[(-1)(6)-(2)(0)] + 1[(-1)(10)-(3)(0)]\\|A| = -5(18-20)+(-10)\\|A| = 10-10\\|A| = 0$

Since the determinant of the given matrix is zero, the given matrix is not invertible.

5 0

2 years ago

A square is cut diagonally into two equal parts. If each part has an area of 50 cm^2, then what is the perimeter of each part?

AysviL [449]

Answer:

30cm

Step-by-step explanation:

Given data

When are square is cut diagonally into two parts

The resulting shape is a triangle

hence the area of the square = 50+50 = 100cm^2

The length of each side of the square = √100= 10cm

likewise the diagonal of the square = 10cm

Hence the perimeter of the resulting triangle= 10+10+10= 30cm

8 0

2 years ago

Kaya's family spends \$ 105$105 to rent a boat for 77 days. The total cost, cc, of the boat rental is proportional to the number

Anastaziya [24]

$c = 15d$

Step-by-step explanation:

find the value of the constant of proportionality k

$k = \frac{v}{d}$

c =total cost

d =days

8 0

1 year ago