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2 years ago

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The sum of -6 times a number and 17 is greater than or equal to -7( will get 15 points)

1 answer:

aleksandrvk [35]2 years ago

7 0

Answer:

-6(x + 17) ≥-7

Step-by-step explanation:

That is the equation you are speaking of. That is what you asked for.

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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

Plz helppppppppppppppp

lorasvet [3.4K]

Answer:

I think it's the third one sry if I'm wrong

5 0

2 years ago

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Help me pls i need help pls papi

Dmitry_Shevchenko [17]

Answer:3150

Step-by-step explanation:

70% of 10,000 is 7000. 45% of 7000 is 3150

4 0

2 years ago

Solve (x - 4)2 = 5 find the answer for unlimited answers with no ads

lianna [129]

Answer:

6 1/2

Step-by-step explanation:

4x - 8 = 5

4x = 13

13/4 = 6 1/2

x = 6 1/2

7 0

3 years ago

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Why do we say that a number is squared when raised to the power of 2

yawa3891 [41]

Answer:

We say that it is squared because we are multiplying that number twice. A square has two sides, therefore we are squaring the number.

I hope this helps. Please mark me Branliest if It did! Thank you and have a nice day!

4 0

3 years ago

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