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3 years ago

Write the product of 6x-4 and the multiplicative inverse of 1 over 5

Mathematics

1 answer:

nlexa [21]3 years ago

6 0

Answer:

30x -20

Step-by-step explanation:

The multiplicative inverse (reciprocal) of 1/5 is 5/1 = 5. Multiplying that by 6x-4 gives ...

5 × (6x -4) = 30x -20

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What is a way to write a number that shows the place value of each digit?

valentina_108 [34]

Eg: 24936
Place value of 4 is 4x10 raised to the power of 3 or 4000

7 0

3 years ago

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Margie threw a ball upwards while standing on a platform 65ft above the ground. The trajectory follows the equation:h(t)=-1.5t^

EastWind [94]

Answer:

14 seconds

Step-by-step explanation:

Given equation is representing the graph of parabola which opens down and its pick is its vertex

<u>The vertex is calculated by vertex formula:</u>

x = -b/2a for the equation y = ax² + bx + c

<u>In our case t is the vertex and its value is:</u>

t = -42/(-1.5*2) = 42/3 = 14 seconds

7 0

3 years ago

Bailey has a video streaming service with a flat monthly fee of $18.00 plus an additional cost of $3.50 for each premium movie r

brilliants [131]

Answer:

3.50 x+18.00 ≤ 40.00

Step-by-step explanation:

She pays 18 dollars each moth, therefore that quantity won't change, so you will have to add. Each movie that she watches is an additional 3.50, then we have 3.50 x, x being the quantity of movies that she watches. She can only afford up to 40 dollars, then everything that she spends has to be less or equal to 40.

8 0

3 years ago

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200 σ j=1 2j( j 3) describe the steps to evaluate the summation. what is the sum?

ziro4ka [17]

The sum of the equation is = 5494000.

<h3>What does summation mean in math?</h3>

The outcome of adding numbers or quantities mathematically is a summation, often known as a sum. A summation always has an even number of terms in it. There may be just two terms, or there may be 100, 1000, or even a million. Some summations include an infinite number of terms.

<h3>Briefing:</h3>

Distribute 2j to (j+3).

Rewrite the summation as the sum of two individual summations.

Evaluate each summation using properties or formulas from the lesson.

The lower index is 1, so any properties can be used.

The sum is 5,494,000.

<h3>Calculation according to the statement:</h3>

$\sum_{j=1}^{200} 2 j(j+3)$

simplifying them we get:

$\sum_{j=1}^{200} 2 j^{2}+6 j$

Split the summation into smaller summations that fit the summation rules.

$\sum_{j=1}^{200} 2 j^{2}+6 j=2 \sum_{j=1}^{200} j^{2}+6 \sum_{j=1}^{200} j$

$\text { Evaluate } 2 \sum_{j=1}^{200} j^{2}$

The formula for the summation of a polynomial with degree 2

is:

$\sum_{k=1}^{n} k^{2}=\frac{n(n+1)(2 n+1)}{6}$

Substitute the values into the formula and make sure to multiply by the front term.

$(2)$$\left(\frac{200(200+1)(2 \cdot 200+1)}{6}\right)$$$

we get: 5373400

Evaluating same as above : $6 \sum_{j=1}^{200} j$

we get: 120600

Add the results of the summations.

5373400 + 120600

= 5494000

The sum of the equation is = 5494000.

To know more about summations visit:

brainly.com/question/16679150

#SPJ4

6 0

1 year ago

How many watts is 30 kilowatts in 24hrs

Nady [450]

30,00 watts.
Think of the metric system like this: K H D B D C M
Now. you have kilo at the begining and milli at the end. To transition from left to right you multiply by 10 each time. To transition from right to left, you divide by 10 each time.

8 0

3 years ago