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2 years ago

The Sum of a number y and -3 is -8

Mathematics

2 answers:

Wittaler [7]2 years ago

7 0

Step-by-step explanation:

The sum of a twice number, x, and twice another number, y, is -78.

ryzh [129]2 years ago

5 0

Answer:

-5

Step-by-step explanation:

Count the difference of -3 and -8 and thats -5

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I need help on a and b

const2013 [10]

Uploaded some diagrams

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3 years ago

Factor completely. 10x^7-10xy^10

denis23 [38]

Find common factor, in this case the common factor is 10x
So the answer would be 10x(x^6 - y^10)

4 0

3 years ago

Can somebody prove this mathmatical induction?

Flauer [41]

Answer:

See explanation

Step-by-step explanation:

1 step:

n=1, then

$\sum \limits_{j=1}^1 2^j=2^1=2\\ \\2(2^1-1)=2(2-1)=2\cdot 1=2$

So, for j=1 this statement is true

2 step:

Assume that for n=k the following statement is true

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

3 step:

Check for n=k+1 whether the statement

$\sum \limits_{j=1}^{k+1}2^j=2(2^{k+1}-1)$

is true.

Start with the left side:

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}\ \ (\ast)$

According to the 2nd step,

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

Substitute it into the $\ast$

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}=2(2^k-1)+2^{k+1}=2^{k+1}-2+2^{k+1}=2\cdot 2^{k+1}-2=2^{k+2}-2=2(2^{k+1}-1)$

So, you have proved the initial statement

4 0

3 years ago

What is the relationship between the degree measure of the angle formed by the straight edges of a section of a circle graph as

Butoxors [25]

Answer:

degree measure = 360° × percent of data

Step-by-step explanation:

The ratio of the degree measure of a sector of a circle graph to 360° is the same as the ratio of the represented data to the whole amount of data.

The idea of a circle graph is that the area of the sector is proportional to the data being represented. That is, if the data represented is 10% of the whole, then the sector area is 10% of the whole. Sector area is proportional to the degree measure of its central angle, so the example sector would have a central angle of 10% of 360°, or 36°.

The ratio of the central angle of the sector to 360° is the same as the percentage of data that sector represents.

7 0

3 years ago

During a 35% off sale at the furniture store, you found a chair with the original price of $84.61. How much will the sale price

Dafna11 [192]

Answer:55$

Step-by-step explanation:84.61 x .35 = 29.61

84.61 - 29.61 = 55

7 0

3 years ago