( x − 3 )^2 as trinomial in standard form

Answers

Answer 1
Answer: Given (x - 3)^2, its trinomial in standard form, y = ax^2 + bx + c:

You must expand the binomial through FOIL method:

(x - 3)^2
x ^2 - 3x - 3x + 9

Combine like terms:

y = x^2 - 6x + 9
where a = 1, b = -6, and c = 9.

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Answer 2
Answer:

Answer:

x^2 - 6x + 9

Step-by-step explanation:


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Completely factor the following expression t^2+4tv+4^2

Answers

Here is all I got for you. From the starting expression to the simplest one.
t^2 + 4tv + 4^2 =
t^2 + 4tv + 16 = 
t(t + 4v) + 16

Find the measure of YZ if Y is the midpoint of XZ.A. 2
B. 10
C. 16
D. 20
Thank you!!!!

Answers

B. 10
Because Y is the midpoint of XZ, XY=YZ, solve for x, then plug in that number that x equals for YZ

Ann, Ben, and Cindy were eating strawberries. The ratio of the numbers of berries they ate is 5:5:7. If Cindy ate 30 strawberries less than Ann and Ben together, what is the total number of strawberries the three of them ate?Answer:

Answers

Answer:

170

Step-by-step explanation:

Ann, Ben, and Cindy were eating strawberries.

The ratio of the numbers of berries they ate is 5:5:7.

If Cindy ate 30 strawberries less than Ann and Ben together,

find:

what is the total number of strawberries the three of them ate?

solution:

add the ratios 5 + 5 + 7 = 17

since Cindy ate 30, less than Ann and Ben together so, the equation is

7x = 5x + 5x - 30

7x - 10x = -30

x = 30/3

x = 10

ann 5 x 10 = 50

ben 5 x 10 = 50

cindy 7 x 10 = 70  

total            = 170

Final answer:

By using the ratio and the given information that Cindy ate 30 strawberries less than Ann and Ben combined, we deduced that each part of the ratio corresponds to 15 strawberries. Therefore, all three kids ate in total 255 strawberries.

Explanation:

The first thing you need to do is to use the ratio. 5 parts belong to Ann, another 5 parts belong to Ben and the remaining 7 parts belong to Cindy, which totals 17 parts altogether. We know that Cindy ate 30 strawberries less than Ann and Ben combined, so in terms of the ratio, Ann and Ben make up 10 parts together (5+5) and Cindy's 7 parts are equal to these 10 parts minus 30. Let's denote one part with the letter 'x'. So 10x = 7x + 30, leading to x=15. Now we know that each 'part' in the ratio is equal to 15 strawberries. So, to find the total strawberries they ate you just need to multiply this by the total ratio parts, which is 17. Thus, they ate 17 x 15= 255 strawberries in total.

Learn more about Ratio here:

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Solve 6/7 divided 36/56 and put answer in simplest form A.8/6
B.2/8
C.6/8
D.4/3

Answers

Answer:

Solve (6)/(7) divided (36)/(56)  and put answer in simplest form

D.(4)/(3)

Step-by-step explanation:

The easily technique for dividing fractions is invert one of the fraction and multiply the fractions. Numerator should be multiplied by the other numerator and  denominator should be multiplied by the other  denominator after invert one of the fraction.

(6)/(7)÷(36)/(56)=(6)/(7)*(56)/(36)

(6)/(7) * (56)/(36)=(336)/(252)

Now, we need to simplify the fraction. The numerator and the denominator are divisible between two,

Therefore:

(336)/(252)=(168)/(126)

The numerator and the denominator are divisible between two,

Therefore:

(168)/(126)=(84)/(63)

The numerator and the denominator are divisible between 3,

Therefore:

(84)/(63)=(28)/(21)

The numerator and the denominator are divisible between 7,

Therefore:

(28)/(21)=(4)/(3)

Now, we have found the answer:

D.(4)/(3)

The simplified form of the expression 6/7 divided 36/56 is 4/3.

Option D.4/3

What is the simplified form of the expression?

Given the expression in the question:

6/7 divided 36/56

Which is the same as:

6/7 ÷ 36/56

To solve the division problem (6/7) ÷ (36/56), multiply the first fraction by the reciprocal of the second fraction:

Hence:

6/7 ÷ 36/56

6/7 × 56/36

Multiply the denominators and then multiply the numerators:

( 6 × 56 ) / ( 7 × 36 )

Simplifying, we get:

336/ ( 7 × 36 )

336 / 252

Simplify:

4/3

Therefore, the simplified form is 4/3.

Option D) 4/3 is the correct answer.

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Jim and Jackie are married with three children at home and a mortgage. Jim’s net pay per year is $67,000 and Jackie does not have income. Their mortgage payment of $2,800 includes insurance on their home. They have additional monthly expenses of $2,700.Jim contributes 15% of his earnings to a retirement fund and they have $5,000 in savings. There is a $500,000 life insurance policy on Jim and a $100,000 policy on Jackie.

As their financial advisor, what part of Jim and Jackie’s financial plan would you encourage them to work on?

Answers

Jim and Jackie should work on their plan for managing income. The correct option is A.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

They are currently spending too much money and they should either lower their costs or Jackie will have to find a job:

Jim's net pay = $67,000

Jackie's net pay = $0

total monthly expenses = $2,800 (mortgage and extras) + $2,700 other expenses = $5,500 x 12 months = $66,000

Since Jim contributes 15% of his income to a retirement fund, they are currently having a deficit = net income - total expenses = ($67,000 x 85%) - $66,000 = $56,950 - $66,000 = -$9,050

They will not to able to handle this deficit for a long time, so they should decide which expenses to cut (out of the $2,800 additional expenses).

Therefore, Jim and Jackie should work on their plan for managing income. The correct option is A.

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The savings and life insurance on Jackie

Which box is greater a 1.5 pound box of raisins or a 650 gram box of raisins?

Answers

The 1.5 pound box of raisins
Convert the 650 grams to pounds and you will get 1.433 pounds which we would round to 1.4

1.5 is definitely greater than 1.4
1.5 gram= 680 grams
it means 1.5 gram box is greater than 650 gram box

hope u understand