MATHEMATICS MIDDLE SCHOOL

Which represents the polynomial below written in standard form

Answers

Answer 1

Answer:

Answer:

(1/2)(8x³ + x² - 6x + 12)

Step-by-step explanation:

Next time, please share the possible answer choices. Thanks.

Multiplying all four terms of the given polynomial by 2 results in

x² - 6x + 8x³ + 12

Rearranging these terms in descending order by powers of x:

(1/2)(8x³ + x² - 6x + 12)

Note that we cannot just ignore that '2' in the denominator, because the given polynomial is an expression, not an equation.

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65 x 7 with distributive property
Can someone please explain

Answers

Answer:

$65* 7=455$

Step-by-step explanation:

Given : Expression $65* 7$

To find : Solve expression with distributive property?

Solution :

Distributive property, $(a+b)c=ac+bc$

To apply property we break, 65=60+5

$65* 7=(60+5)* 7$

$65* 7=60* 7+5* 7$

$65* 7=420+35$

$65* 7=455$

Therefore, $65* 7=455$

7(60 + 5)
The seven carries over to both values.
420 + 35
420 + 35 is simply 455.

A baseball player won 80% of the games he pitched. if he pitched 35 ballgames, how many games did he win?

Answers

80% of 35 is what?
1. Multiply the opposites80 x 35 = 2800
2. Divide by the remaining number.
100√2800 =28
28 games.

√= i used this to make division bar thing

Multiply 35 by 80 and divide by 100 and get an answer of 28.

3 to the 10th power = 3 to the 7th power times x to the 3rd power (solve for x)

Answers

Answer:

Step-by-step explanation:

Rewriting this sentence as an algebraic equation, we get:

3^10 = 3^7 * x^3.

Dividing both sides by 3^7 simplifies the problem:

3^3 = x^3

Here this x corresponds to the 3 in 3^3. Thus, the solution is x = 3.

Final answer:

Using exponent rules and logarithms, the given equation can be simplified and solved to find that x equals 3.

Explanation:

The subject of the question falls into the field of Mathematics, specifically exponent rules, which are used in High School level algebra. In the mathematics problem provided ('3 to the 10th power = 3 to the 7th power times x to the 3rd power'), we need to solve for x using the knowledge of exponents.

First, it's helpful to know that when two expressions with the same base (in this case, 3) are set equal to each other, their exponents must also be equal. Since we know that 3 to the 7th power times x to the 3rd power equals 3 to the 10th power, we can break this down further. This leads to the equation 7 + 3log(x) = 10, where 'log' represents the logarithm.

By simplifying the equation, we get 3log(x) = 10-7, so 3log(x) = 3. Therefore, log(x)=3/3, hence log(x)=1. If we apply anti logarithm on both sides, we'll find that x = 3 to the power of 1, so x = 3. In other words, 3 to the 3rd power will equal3 to the 10th power divided by 3 to the 7th power. Hence, the value of x is 3.

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Put these over a common denominator: ³/5 and 4/7

Answers

3/5 x 7/7= 21/35
4/7x 5/5= 20/35
They both have a common denominator

Final answer:

To put the fractions ³/5 and 4/7 over a common denominator, find the least common multiple (LCM) of 5 and 7, which is 35. Multiply the numerator and denominator of each fraction by the appropriate factor to obtain fractions with a denominator of 35.

Explanation:

To put the fractions ³/5 and 4/7 over a common denominator, we need to find the least common multiple (LCM) of 5 and 7.

The multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, ...

The multiples of 7 are: 7, 14, 21, 28, 35, ...

The LCM of 5 and 7 is 35.

To convert ³/5 to have a denominator of 35, we multiply the numerator and denominator by 7. This gives us ³/5 * 7/7 = 21/35.

To convert 4/7 to have a denominator of 35, we multiply the numerator and denominator by 5. This gives us 4/7 * 5/5 = 20/35.

Therefore, the fractions ³/5 and 4/7, when put over a common denominator, are 21/35 and 20/35, respectively.

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There are 30 students in the school chorale, and 12 of these students can stay after school today to help prepare the stage for the concert. What fraction of the students in the chorale can stay after school today? Write the fraction in simplest form.