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2 years ago

Which ordered pair (c,d) is the solution to the given system of linear equations?

Mathematics

2 answers:

IceJOKER [234]2 years ago

7 0

Answer:

(-1, 6)

Step-by-step explanation:

{-c + 2d = 13

{-9c - 4d = -15

-⅑[-9c - 4d = -15]

{-c + 2d = 13

{c + 4⁄9d = 1⅔ >> New equation

______________

2 4⁄9d = 14⅔

______ _____

2 4⁄9 2 4⁄9

d = 6 [Plug this back into both equations to get the c-value of -1]; -1 = c

I am joyous to assist you anytime.

Zinaida [17]2 years ago

6 0

Answer:

(-1,6)

Step-by-step explanation:

We are given that system of linear equations

$-c+2d=13$

$-9c-4d=-15$

We have to find the value of ordered pair (c,d).

Equation first multiply by 2 then add to equation second

We get

$-9c-4d-2c+4d=26-15$

$-11c=11$

$c=\frac{11}{-11}=-1$

Substitute the value of c in equation first then, we get

$-(-1)+2d=13$

$1+2d=13$

$2d=13-1=12$

$d=\frac{12}{2}=6$

Hence, the ordered pair (-1,6) is the solution of given system of linear equations.

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The functions q and r are defined as follows

kolezko [41]

Answer:

Step-by-step explanation:

So we have the two functions:

$g(x)=-2x-2\text{ and } r(x)=x^2-2$

And we want to find the value of r(g(4)).

To do so, first find the value of g(4):

$g(x)=-2x-2\\g(4)=-2(4)-2\\$

Multiply:

$g(4)=(-8)-2$

Subtract:

$g(4)=-10$

Now, substitute this into r(g(4)):

$r(g(4))\\=r(-10)$

And substitute this value into r(x):

$r(-10)=(-10)^2-2$

Square:

$r(-10)=100-2$

Subtract:

$r(-10)=98$

Therefore:

$r(-10)=r(g(4))=98$

3 0

2 years ago

Jason with 120 and is going 10 pounds each month Gerardo weighs 150 pounds and is having 4 pounds each month . Write an equation

pshichka [43]

Answer:

5 months

Step-by-step explanation:

Jason's original weight = 120 pounds

Let the no. of months be m

If he gains 10 pounds in each moth , then his weight in m months will be = 10m

His total weight will be= 120+10m -----(1)

Gerardo's original weight = 150 pounds

If he gains 4 pounds in each month , then his weight in m months will me =4m

His total weight will be = 150+4m-----(2)

Equating (1) ans(2)

120+10m=150+4m

=>10m-4m=150-120

=>6m=30

=>m= $\frac{30}{6}$

=>m=5

It will take 5 months for Jason to weigh the same as Gerardo

5 0

2 years ago

For an annual membership fee of $500,Mr.Bailey can join a country club that would allow him to play a round of golf for $35. Wit

IRISSAK [1]

Answer:

25 rounds

Step-by-step explanation:

Let

x -----> the number of rounds of golf

y ---> total charges to play

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate

b is the y-intercept or initial value

Membership

$y=35x+500$ ----> equation A

The slope is m=$35 per round

The y-intercept b=$500 (annual membership fee)

Non-Membership

$y=55x$ ----> equation B

The slope is m=$55 per round

The y-intercept b=$0

Equate equation A and equation B

$55x=35x+500$

solve for x

$55x-35x=500$

$20x=500$

$x=25\ rounds$

For x=25 rounds the cost to be the same with and without a membership

8 0

2 years ago

Read 2 more answers

Allison plays basketball and last season she made a total of 87 shots (two- or three- point shots). Her points total was 191. Ho

yarga [219]

Answer:

Step-by-step explanation:

Let the number of 2 point shots be t.

Let the number of 3 point shots be h.

Allison made 87 shots and scored 191 total points. This implies two things:

t + h = 87 ________(1)

2t + 3h = 191 ______(2)

Let us eliminate t by multiplying (1) by 2 and subtracting from (2):

=> 2t + 3h = 191

- 2t + 2h = 174

h = 17

Therefore, she made 17 three point shots.

4 0

2 years ago

Enter the common ratio for the geometric sequence below. 4,6,9,...

UNO [17]

Answer:

1.5

Step-by-step explanation:

6/4=1.5

9/6=1.5

5 0

2 years ago