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2 years ago

Given the system of equations below,explain if (6,-9) is a solution or not.

Mathematics

1 answer:

quester [9]2 years ago

6 0

Answer:

(6,-9) is a solution.

Step-by-step explanation:

Multiply each equation by the value that makes the coefficients of y opposite.

(-1) · (7x+2y) = (-1) · (24)

8x+2y = 30

Simplify.

-7x-2y = -24

8x+2y = 30

x = 6

-7 · x - 2y = -24

-7 · 6 - 2y = -24

-42 - 2y = -24

-2y = 18

y = -9

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monitta

Answer:

Step-by-step explanation:

5 0

2 years ago

The sum of the first three terms of geometric sequence is 14. If the first term is 2, find the possible values of the sum of the

Irina18 [472]

Geometric series are in the form of

$a +a*r +a*r^2+...$

Where a is the first term and r is the common ratio .

And it is given that

$2 +2*r +2*r^2=14$

$2r^2+2r-12=0$

$r^2 +r-6=0$

$(r+3)(r-2)=0$

r=-3,2

So the first five terms are

$2+2(-3)+2(-3)^2+2(-3)^3+2(-3)^4 or 2+2(2)+2(2)^2+2(2)^3+2(2)^4$

= 2-6+18-54+162 or 2+4+8+16+32

= 122 or 62

4 0

2 years ago

Read 2 more answers

Jillian is making accessories for the soccer team. She uses 667.43 inches of fabric on headbands for 27 players and 4 coaches. S

gulaghasi [49]

Answer:

21.53 in of fabric on headbands

7.67 in of fabric on wristbands.

Step-by-step explanation:

Step one:

given data

the total amount of person players plus coaches= 27+4= 31

for each person, she uses = 667.43/31= 21.53 in of fabric on headbands

She also uses 237.87inches of fabric on wristbands for just the players

For each player, she will use= 237.87/31= 7.67 in of fabric

Hence for each player, she used

21.53 in of fabric on headbands

7.67 in of fabric on wristbands

4 0

2 years ago

The diameter of a circle is 7 m. Find the circumference to the nearest tenth

Molodets [167]

Answer:

22 m

Step-by-step explanation:

Diameter d = 7 m

Circumference of the circle C =?

$C = \pi d = 3.14 \times 7 \\ \\ C= 21.98 \: m\\ \\ C \approx 22.0 \: m$

3 0

3 years ago

What is the value of ?

Ede4ka [16]

Remember
$\frac{x^m}{x^n}=x^{m-n}$
and
$x^{-m}=\frac{1}{x^m}$

so
$\frac{3^2}{3^4}=3^{2-4}=3^{-2}=\frac{1}{3^2}=\frac{1}{9}$

5 0

3 years ago