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2 years ago

Is (-1,2) a solution to the following system of equations? Show and explain why or why not.

Mathematics

1 answer:

fenix001 [56]2 years ago

4 0

Answer:

It is a solution.

Step-by-step explanation:

Plug in (-1,2) to both equations:

Plug in -1 to see if 2 comes out:

f(x)=x^2+3x+4

y=(-1)^2+3(-1)+4

y=1-3+4

y=-2+4

y=2

(yes it works)

g(x)=2x+4

y=2(-1)+4

y=-2+4

y=2

(yes it works)

You might be interested in

Is 1.32 a rational number or integer

Ivahew [28]

Answer:

A rational number.

Step-by-step explanation

A rational number is a ratio of whole numbers.

1/3 is the ratio of 1:3

3:1 becomes 3/1 = 3

32:10 can be written 32/10 or 16/5 or 3.2

16/5 is a rational number 16 and 5 are integers, 5 is not equal to 0.

Therefore, 3.2 which can be expressed as 16/5 is a rational number.

6 0

3 years ago

I don't know how to do these sort of problems... Can someone help me out?

VLD [36.1K]

180=76+4x
180-76=4x
104=4x
104/4=x
26=x
Measurement A= 26

6 0

3 years ago

At the movie theater all snacks and all movie tickets are priced the same. Four snacks and three movie tickets cost $40. Two sna

Nataliya [291]

We know that four snacks and three movie tickets cost $40 dollars, and when you take away 2 snacks but still keep the tickets, its $32.

2 snacks= $8

What i did to find the cost of each ticket is I divided 8 by 2 (8/2) and ended getting $4

1 snack= $4

Now to find the cost of each ticket, i divided 2 snacks ($8) and got this equation:

32 - 8= 24

3 tickets= $24

Now to find the amount for each ticket, i divided 24 by 3 (24/3) and got the answer:

1 ticket= $8

Therefore, snacks are $4 and movie tickets are $8

x tickets= 8x

x snacks= 4x

<em>Thank you! Btw can i please get brainly :3</em>

7 0

3 years ago

Solve for b <br>r=x (a+b)

Delvig [45]

R=xa+xb, r-xa=xb, b=r-xa/x

5 0

3 years ago

The amount of water consumed each day by a healthy adult follows a normal distribution with a mean of 1.30 liters. A health camp

Rom4ik [11]

Answer:

H0: μ ≤ 1.30

H1: μ > 1.30

|Test statistic | > 1.833 ; Reject H0

Test statistic = 3.11

Yes

Pvalue = 0.006

Step-by-step explanation:

H0: μ ≤ 1.30

H1: μ > 1.30

Samples, X ; 1.36,1.35,1.33, 1.66, 1.58, 1.32, 1.38, 1.42, 1.90, 1.54

Xbar = 14.84 / 10 = 1.484

Standard deviation, s = 0.187 (calculator)

Decison rule :

|Test statistic | > TCritical ; reject H0

df = n - 1 = 10 - 1 = 9

Tcritical(0.05; 9) = 1.833

|Test statistic | > 1.833 ; Reject H0

Test statistic :

(xbar - μ) ÷ (s/√(n))

(1.484 - 1.30) ÷ (0.187/√(10))

0.184 / 0.0591345

Test statistic = 3.11

Since ;

|Test statistic | > TCritical ; We reject H0 and conclude that water consumption has increased

Pvalue estimate using the Pvalue calculator :

Pvalue = 0.006

7 0

3 years ago