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3 years ago

Y = – x – 6 y = x – 4 solve the system of equations using substition. HELP NEEDED IMMEDITLY!!!!!!!!

Mathematics

2 answers:

Debora [2.8K]3 years ago

7 0

Answer:

x=-1 y= -5

Step-by-step explanation:

y = – x – 6

y = x – 4

Substitute into y = -x-6 into the second equation

y =x-4

-x-6 = x-4

Add x to each side

-x-6+x =x-4+x

-6 =2x-4

Add 4 to each side

-6+4 =2x-4+4

-2 = 2x

Divide by 2

-2/2 =2x/2

-1 = x

Now find y

y =-x-6

y = -(-1) -6

y =1-6

y = -5

Art [367]3 years ago

3 0

Answer:

x = -1

y = -5

Step-by-step explanation:

Given:

y = – x – 6

y = x – 4

We'd take one of the equations above and substitute it with the y variable:

x - 4 = -x - 6

-x is smaller, so we add x in both sides:

2x - 4 = -6

Add 4 in both sides:

2x = -2

Divide 2 in both sides:

x = -1

Solve for y

y -(-1) - 6 = -5

y = -5

Our answer is x = -1, y = -5

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In Littletown, the probability that a baseball team goes to the city playoffs is 0.30. the probability that the team goes to the

salantis [7]

THIS IS THE COMPLETE QUESTION BELOW;

In Littletown, the probability that a baseball team goes to the city playoffs is 0.30. the probability that the team goes to the state playoffs given that the team goes to the city playoffs is 0.20.

What is the probability that a randomly selected team from Littletown goes to the city and state playoffs?

A. 0.10

B.0.50

C. 0.66

D. 0.06

Answer:

OPTION D is correct

d)0.06

the probability that a randomly selected team from Littletown goes to the city and state playoffs is $0.06$

Step-by-step explanation:

The probability that a baseball team goes to city playoffs is 0.30.

P(baseball team goes to city playoffs)=0.30

The probability that the team goes to state playoffs given that the team goes to the city playoffs is 0.20.

P(team goes to state playoffs given that the team goes to the city playoffs)=0.20

From our knowledge of set, we know that

P(A | B)= P(A ∩ C)/P(C)

where A= city playoffs

B= state playoffs

P(State play off | city play off)=0.20

P(State play off ∩ city play off)/P(city play off,)=0.20

P(State play off ∩ city play off)/0.30 =0.20

P(State play off ∩ city play off)= 0.30 × 0.20

= 0.06

Hence,the probability that a randomly selected team from Littletown goes to the city and state playoffs is 0.06

7 0

3 years ago

CAN SOMEONE PLEASE HELP ME

vaieri [72.5K]

TSR because if u look at the lines of where their similar on the second one you match it up

6 0

3 years ago

Use the value of the first integral I to evaluate the two given integrals. I = integral^3_0 (x^3 - 4x)dx = 9/4 A. integral^3_0 (

Troyanec [42]

Answer:

A) -9/2

B) 9/4

C) -9/2, same as A)

Step-by-step explanation:

We are given that $I=\int_0^3 x^3-4x dx=9/4$ . We use the properties of integrals to write the new integrals in terms of I.

A) $\int_0^3 8x-2x^3 dx=\int_0^3 -2(x^3-4x) dx=-2\int_0^3 x^3-4x dx=-2I=-9/2$ . We have used that ∫cf dx=c∫f dx.

B) $\int_3^0 4x - x^3 dx=-\int_0^3 (4x-x^3) dx=\int_0^3-(4x-x^3) dx=\int_0^3 x^3-4x dx=I=9/4$ . Here we used that reversing the limits of integration changes the sign of the integral.

C) It's the same integral in A)

4 0

3 years ago

Which statements are true about exponential decay functions? Check all that apply. The domain is all real numbers. As the input

lorasvet [3.4K]

<h2>Answer:</h2>

The correct options are:

The domain is all real numbers.

The base must be less than 1 and greater than 0.

The function has a constant multiplicative rate of change.

<h2>Step-by-step explanation:</h2>

We know that the exponential function is given by:

$f(x)=ab^x$

where a>0 and b are constants.

Also, it represents a growth function if b>1

and a decay function if 0<b<1

where b is the base.

x belongs to whole of the real numbers( since the exponential function is well defined for all the real values of x.

Hence, the domain of the function is all the real numbers )

Also, the graph of a decay function decreases continuously i.e. with the increasing input value the output value decreases.

The exponential decay function always have a constant multiplicative rate of change i.e. b.

8 0

3 years ago

Read 2 more answers

Drag and drop the answers into the boxes to complete this informal argument explaining how to derive the formula for the volume

melisa1 [442]

Answer:

1st one is 1/3. The 2nd one is πr²h. The Last one is 1/3πr²h.

Step-by-step explanation:

The formula for the volume of a cone with the same base and height will always be 1/3 the volume of a cylinder. The exact formula for the volume of a cylinder is just πr²h. So, if a cone is 1/3 of that, it will result in 1/3πr²h.

8 0

3 years ago