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3 years ago

Are the inequalities c+3> 5 and c-1>1 equivalent? Explain.

Mathematics

1 answer:

Kaylis [27]3 years ago

8 0

Answer:

yes

Step-by-step explanation:

c + 3 > 5

subtract 3 from both sides: c > 2

c - 1 > 1

Add 1 to both sides: c > 2

Therefore, they are equivalent.

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Eight times the sum of 5 and a number is less than 56.

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8• (5+x) < 56
That is the equation

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A highway on-ramp rises

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Slope = vertical length / horizontal lengthn = 15/100 = 0.15

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What is the equation of the line that passes through the point (-6,-6)and has a slope of -\frac{1}{3}− ?

Gnesinka [82]

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Answer:

y +6 = (-1/3)(x +6)

Step-by-step explanation:

Given a point and a slope, it is appropriate to use the point-slope form to represent the equation:

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For your point and slope, the equation is ...

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3 years ago

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vaieri [72.5K]

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Step-by-step explanation:

I graphed the function and found answer.

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3 years ago

Tyrod needs at least $820 to buy the computer he wants. He has already saved $330. He earns $50 per lawn that he cuts. What is t

Ksju [112]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

The equation representing the given statement is ~

$50x + 330 \geqslant 820$

The least number of lawns that he can cut and buy the computer is 10 lawns ~

$\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}$

Total savings should be greater or equal to $ 820 in order to buy the computer,

And his total savinga is equal to ~

Money he saved + money got from cutting lawns.

let's assume the lawns cut by Tyrod be x,

Money earned by cutting lawns is equal to

total number of lawns cut × $50

total savings is equal to ~

330 + 50x

hence,

$50x + 330 \geqslant 820$

by solving for " x (number of lawns cut) " we get ~

$50x \geqslant 820 - 330$

$50x \geqslant 490$

$x \geqslant 490 \div 50$

$x \geqslant 9.8$

Hence, the least number of lawns he has to cut is the number that is greater than 9.8, which is

$10$

6 0

2 years ago