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3 years ago

9

What are the multiples of 7?

1 answer:

olya-2409 [2.1K]3 years ago

7 0

Answer:

7,14,21,28,35,42,49,56,63,70,77,84,91,98,105,112,119,126,133

Step-by-step explanation:

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Which expression is equivalent to this one?

Alinara [238K]

Hello,

Which expression is equivalent to this one?

1/6(x - 18)

Distributive property: (1/6x) - (1/6 x 18)

= 1/6x

= -18

Answer: 1/6x * (-18)

4 0

3 years ago

Х- а<br>x-b<br>If f(x) = b.x-a÷b-a + a.x-b÷a - b<br>Prove that: f (a) + f(b) = f (a + b)

GenaCL600 [577]

Given:

Consider the given function:

$f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot(x-b)}{a-b}$

To prove:

$f(a)+f(b)=f(a+b)$

Solution:

We have,

$f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot (x-b)}{a-b}$

Substituting $x=a$ , we get

$f(a)=\dfrac{b\cdot(a-a)}{b-a}+\dfrac{a\cdot (a-b)}{a-b}$

$f(a)=\dfrac{b\cdot 0}{b-a}+\dfrac{a}{1}$

$f(a)=0+a$

$f(a)=a$

Substituting $x=b$ , we get

$f(b)=\dfrac{b\cdot(b-a)}{b-a}+\dfrac{a\cdot (b-b)}{a-b}$

$f(b)=\dfrac{b}{1}+\dfrac{a\cdot 0}{a-b}$

$f(b)=b+0$

$f(b)=b$

Substituting $x=a+b$ , we get

$f(a+b)=\dfrac{b\cdot(a+b-a)}{b-a}+\dfrac{a\cdot (a+b-b)}{a-b}$

$f(a+b)=\dfrac{b\cdot (b)}{b-a}+\dfrac{a\cdot (a)}{-(b-a)}$

$f(a+b)=\dfrac{b^2}{b-a}-\dfrac{a^2}{b-a}$

$f(a+b)=\dfrac{b^2-a^2}{b-a}$

Using the algebraic formula, we get

$f(a+b)=\dfrac{(b-a)(b+a)}{b-a}$ $[\because b^2-a^2=(b-a)(b+a)]$

$f(a+b)=b+a$

$f(a+b)=a+b$ [Commutative property of addition]

Now,

$LHS=f(a)+f(b)$

$LHS=a+b$

$LHS=f(a+b)$

$LHS=RHS$

Hence proved.

5 0

2 years ago

Perform the indicated operation. 61/2 · 4/5? a.5 1/5 b.6 2/5 c.3 1/5 d.4 2/5

dexar [7]

Answer:

5 1/5

Step-by-step explanation:

6 1/2 *4/5

Rewriting as an improper fraction

( 2*6 +1)/2 *4/5

13/2 *4/5

52/ 10

50/10 + 2/10

5 +1/5

5 1/5

5 0

3 years ago

Read 2 more answers

Plsss helppppppppp<br> pls help me

pychu [463]

Answer: should be B if im wrong sorry :(

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Please help Assssaaaappp!!! <br> almost due and im having trouble.

USPshnik [31]

A. Nancy has the greatest spread because her longest training time was 105 and her shortest being 82, making the spread 23, and Peter’s spread is only... Longest: 112 Shortest: 92 making it 20!
b. Nancy. Middle %50 would be Peter’s 110-92 making the spread 18, and Nancy’s spread is 93-90 making the spread making it 12
c. The spreads tell us they are very close to each other, and just Peter has more time but a less spread than Nancy.

3 0

2 years ago