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3 years ago

Substitution method- y=-x+4 and y=3x

Mathematics

1 answer:

kumpel [21]3 years ago

5 0

Substitue y=3x into the other equation to get 3x=-x+4. Solve this to get 4x=4 therefore x=1.
knowing this, y=3

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Karen wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 60

Umnica [9.8K]

Sample mean : \overline{x}=10.6x=10.6

Standard deviation : s=1.7s=1.7

Significance level : \alpha:1-0.95=0.05α:1−0.95=0.05

Critical value : z_{\alpha/2}=1.96

Hence the 95% confidence interval for the number of chocolate chips per cookie for big chip cookies= (10.1989,\ 11.0011)(10.1989, 11.0011)

4 0

2 years ago

The minimum value of Y in the equation y = x2 - 6x + 8

murzikaleks [220]

Given

$y=x^2-6x+8$

To obtain the minimum value of y, we first take the derivative of y

The derivative of y is:

$y^{\prime}=2x-6$

Equating

$y^{\prime}\text{ = 0}$

gives the minimum value we require.

Doing that, we have:

$2x-6=0$

So that

$\begin{gathered} 2x=6 \\ x=\frac{6}{2} \\ =3 \end{gathered}$

Therefore, the minimum value is x = 3

8 0

1 year ago

IF U UNDERSTAND THIS PLS ANSWER WITH NO LINK!!!

Nikitich [7]

Answer:

First Column top:

5. 3. 10

Second Column middle:

9. 7. 2

Third Column bottom:

4. 8. 6

Hence, the grid would be,

5. 3. 10

9. 7. 2

4. 8. 6

6 0

2 years ago

Solve for x x^9=12^2x12^7

jekas [21]

Answer:

Step-by-step explanation:

Hi!

Here is your answer,

I will explain in step by step,

${x}^{9} = {12}^{2} \times {12}^{7}$

Here we can simplify this further using this law,

${a}^{m} \times {a}^{n} = {a}^{m + n}$

So we will get,

${x}^{9} = {12}^{7 + 2} \\ {x}^{9} = {12}^{9}$

Since the powers are same we can cancel it out and we will get,

$x = 12$

(Hope this answer helped :))

4 0

3 years ago

Simplify the following exponential expression. Show your work step by step and list the Properties of Exponents used to solve th

____ [38]

3x^0 (2x^3y^2)^4

--------------------------

(4x^7y^4) ^2

= 3 * 1 (2x^3y^2)^4

-------------------------- Zero Exponent Property X^0 =1

(4x^7y^4) ^2

3 (2^4 *x^3*4 y^2*4)

-------------------------- power of a power property x^a ^b = x^(a*b)

4^2 x^7*2 y^4*2

3 *16 *x^12 y^8

-------------------------- simplify

16 x^14 y^8

3 *x^12 y^8

-------------------------- simplify

x^14 y^8

3 *x^(12-14) y^(8-8)

-------------------------- Quotient of Power X^a/ X^b = X^ (a-b)

3x^-2 y^0 simplify

3x^-2 *1 Zero Exponent Property X^0 =1

3 / x^2 Negative exponent property x^-a = 1/x^a

5 0

3 years ago