Whats 57 + 52 + 40 +42+37+54+47

Jenny used her credit card to buy a refrigerator with a base cost of $824. The refrigerator consumed an average of $0.09 in elec

eimsori [14]

I think the answer is A) $1,528.47.

5 0

4 years ago

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Graph the function y = 4x4 – 8x2 + 4. Which lists all of the turning points of the graph?

Serhud [2]

Answer:

$4(x + 1)^{2}(x - 1)^{2}$

Step-by-step explanation:

STEP 1:

The equation at the end of step 1

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

STEP 2:

The equation at the end of step 2:

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

STEP 3:

STEP 4: Pulling out like terms

<u>4.1</u> Pull out like factors:

$4x^4 - 8x^2 + 4 = 4(x^4 - 2x^2 + 1)$

Trying to factor by splitting the middle term

<u>4.2</u> Factoring $x^4 - 2x^2 + 1$

The first term is, $x^4$ its coefficient is 1.

The middle term is, $-2x^2$ its coefficient is -2.

The last term, "the constant", is +1.

Step-1: Multiply the coefficient of the first term by the constant 1 • 1 = 1

Step-2: Find two factors of 1 whose sum equals the coefficient of the middle term, which is -2.

-1 + -1 = -2 That's it

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -1 and -1

x4 - 1x2 - 1x2 - 1

Step-4 : Add up the first 2 terms, pulling out like factors :

x2 • (x2-1)

Add up the last 2 terms, pulling out common factors :

1 • (x2-1)

Step-5 : Add up the four terms of step 4 :

(x2-1) • (x2-1)

Which is the desired factorization

Trying to factor as a Difference of Squares:

4.3 Factoring: x2-1

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 1 is the square of 1

Check : x2 is the square of x1

Factorization is : (x + 1) • (x - 1)

Trying to factor as a Difference of Squares:

4.4 Factoring: x2 - 1

Check : 1 is the square of 1

Check : x2 is the square of x1

Factorization is : (x + 1) • (x - 1)

Multiplying Exponential Expressions:

4.5 Multiply (x + 1) by (x + 1)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (x+1) and the exponents are :

1 , as (x+1) is the same number as (x+1)1

and 1 , as (x+1) is the same number as (x+1)1

The product is therefore, (x+1)(1+1) = (x+1)2

Multiplying Exponential Expressions:

4.6 Multiply (x-1) by (x-1)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (x-1) and the exponents are :

1 , as (x-1) is the same number as (x-1)1

and 1 , as (x-1) is the same number as (x-1)1

The product is therefore, (x-1)(1+1) = (x-1)2

Final result :

4 • (x + 1)2 • (x - 1)2

4 0

3 years ago

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Chef Alonso is creating a recipe called spicy Italian chicken with the following ingredients:3/4 pound chicken,2 1/2 cups tomato

KonstantinChe [14]

Answers:

A) This recipe makes 3/2=1.5 1/2 pound servings.

B) The Chef Alonso should multiply the amount of chicken by 4/3 so that the recipe will make 2 full servings, each with 1/2 pound of chicken.

C) Amount of all the ingredients in the new recipe:

1 pound chicken.

3 1/3 cups tomato sauce.

1 1/3 teaspoon oregano.

2/3 teaspoon Chef Alonso's special sauce.

D) No, he can not measure the new amounts of oregano and hot sauce exactly.

Solution:

A) Using a rule of three:

1 serving of the dish includes 1/2 pound chicken

x include 3/4 pound chicken (Recipe)

x=(1 serving of the dish)(3/4 pound chicken) / (1/2 pound chicken)

x=(3/4) / (1/2)

x=(3/4) (2/1)

x=(3*2)/(4*1)

x=6/4

x=(6/2) / (4/2)

x=3/2=1.5

B) We want 2 full servings each with 1/2 pound of chicken, then we need a total of 2*(1/2) pound of chicken=1 pound of chicken

The recipe is with 3/4 pound of chicken, then to obtain 1 pound we must multiply by x:

(3/4)x=1

Solving for x: Multiplying both sides of the equation by 4/3:

(4/3)(3/4)x=(4/3)(1)

x=4/3

C) Amount of all the ingredients in the new recipe:

1. Chicken: (3/4 pound)(4/3)=1 pound

2. Tomato sauce: (2 1/2 cups)(4/3)=[(2*2+1)/2](4/3)=[(4+1)/2](4/3)=(5/2)(4/3)=(5*4)/(2*3)=20/6=(20/2)/(6/2)=10/3=(9+1)/3=9/3+1/3=3 1/3 cups

3. Oregano: (1 teaspoon)(4/3)=4/3=(3+1)/3=3/3+1/3=1 1/3 teaspoon

4. Chef Alonso's special sauce: (1/2 teaspoon)(4/3)=(1*4)/(2*3)=4/6=(4/2)/(6/2)=2/3 teaspoon

D) Chef Alonso only has three measuring spoons: 1 teaspoon, 1/2 teaspoon, and 1/4 teaspoon. Can he measure the new amounts of oregano and hot sauce exactly? Explain why or why not

No, because he needs to measure 1 1/3 teaspoon of oregano and he can not measure 1/3 teaspoon (he only has 1/2 teaspoon and 1/4 teaspoon).

He needs to measure 2/3 teaspoon of his special sauce and he can not measure this quantity, because he only has 1/2 teaspoon and 1/4 teaspoon.

6 0

3 years ago

Find the radius of a circle ,given that it’s circumference is 22cm

Alik [6]

Answer:

3.5cm

Step-by-step explanation:

hope i helped:)plz mark me as Brainliest

4 0

3 years ago

Write down the ratio of baking soda to baking powder if baking soda is 5ml and baking powder is 15ml

fomenos

Answer:

1:3

Step-by-step explanation:

That ratio would be 5 :15 or 1:3

8 0

2 years ago