I need help please with this question

Mathematics

1 answer:

hjlf3 years ago

8 0

Answer:r=(-1)

Step-by-step explanation: With a slope of two, the line would go through the origin and it would be equal on the other side, therefore, (2,1) and (-2,-1) would be on the same line with a slope of 2

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Eva has £6.05 in her moneybox.

PIT_PIT [208]

Answer:

11 of 20p, 22 of 10p and 33 of 5p

Step-by-step explanation:

Eva has 20p, 10p and 5p coins, total of £6.05 = 605p

Let 20p=x, 10p=y, 5p=z

Then:

20x + 10y + 5z = 605
y : x = 2 : 1 ⇒ x= y/2
y : z = 2 : 3 ⇒ z= 3y/2

Rewriting the first equation considering next two:

10y + 10y + 7.5y = 605
27.5y = 605
y= 605/27.5
y= 22
x= y/2 = 22/2 = 11
z = 3y/2 = 3*11 = 33

Answer: 11 of 20p coins, 22 of 10p coins and 33 of 5p coins

3 0

2 years ago

Suppose a 5x8 coefficient matrix for a system has pivot columns. Is the system consistent? Why and Why not?

Lyrx [107]

Step-by-step explanation:

All the 5 rows of the coefficient matrix (since it is of order 5×8) will have a pivot position. The augmented matrix obtained by adding a last column of constant terms to the 8 columns of the coefficient matrix will have nine columns and will not have a row of the form [0 0 0 0 0 0 0 0 1]. So the system is consistent.

7 0

3 years ago

Find the unit rate 8 hits in 22 games

Aleksandr [31]

Answer:

0.363636

Step-by-step explanation:

Hits per game is hits / games

= 8 / 22

= 0.363636363

8 0

2 years ago

Find the value of x (3/5)^x(5/3)^2x=125/27

lesya692 [45]

Given:

The equation is

$\left(\dfrac{3}{5}\right)^x\left(\dfrac{5}{3}\right)^{2x}=\dfrac{125}{27}$

To find:

The value of x.

Solution:

We have,

$\left(\dfrac{3}{5}\right)^x\left(\dfrac{5}{3}\right)^{2x}=\dfrac{125}{27}$

$\left(\dfrac{5}{3}\right)^{-x}\left(\dfrac{5}{3}\right)^{2x}=\dfrac{5\times 5\times 5}{3\times 3\times 3}$ $[\because \left(\dfrac{a}{b}\right)^{-m}=\left(\dfrac{b}{a}\right)^{m}]$