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3 years ago

Explain how you know without computing whether the quotient of 1/2 divided by 6 is greater than or less than 1

1 answer:

6 0

It is less than 1, because 1/2 is also .5, so that is already less than 1 whole.
Also, any number under 6 divided by 6 (for example: 5 divided by 6, 3 divided by 6) has to be less than one, since 6 can't evenly go into a number lower than it.

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If a line has a slope of 4 and contains the point (-2, 5), what is its equation in point-slope form?

Sveta_85 [38]

Answer:

The equation of the line is y = 4x + 13

Step-by-step explanation:

In this question, we want to write the equation of the line using the point slope form.

Mathematically, the point slope form can be represented as;

(y-y1) = m(x - x1)

where x1 = -2 , y1 = 5 and m which is the slope is 4

Plugging these values into the equation, we have;

(y-5) = 4(x - (-2))

y-5 = 4(x + 2)

y -5 = 4x + 8

y = 4x + 8 + 5

y = 4x + 13

8 0

3 years ago

WILL GIVE BRAINLIEST HELP PLEASE

Tamiku [17]

The relation t relates x to y. To determine if it is a function, see if one x value can give two different y values. Since each x value only has one y value, the relation is a function. To check if the inverse is a function, see if any one y value will give multiple x values. By inversing t, there are two values of x for the value of y = -4 (x = 4 and x = 6), so this is NOT a function.

Answer: Relation t is a function. The inverse of relation t is NOT a function.

3 0

3 years ago

HELPPPPPP this is due tonight!!!!

laiz [17]

Answer:

(1) Commutative property

(2) Distributive property/Definition of addition

(3) Compatibility with addition/Existence of additive inverse/Modulative property

(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

Step-by-step explanation:

We proceed to solve algebraically and explain each step:

1) $4\cdot x +1 +x + 3 = -11$ GIven

2) $4\cdot x +x +1 + 3 = -11$ Commutative property

3) $(4+1)\cdot x +4 = -11$ Distributive property/Definition of addition

4) $5\cdot x +4 = -11$ Definition of addition

5) $5\cdot x +4 -4 = -11-4$ Compatibility with addition

6) $5\cdot x = -15$ Existence of additive inverse/Modulative property

7) $\frac{1}{5}\cdot (5\cdot x)= \frac{1}{5}\cdot (-15)$ Compatibility with multiplication

8) $x = - 3$ Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

Hence, we have the following answers:

(1) Commutative property

(2) Distributive property/Definition of addition

(3) Compatibility with addition/Existence of additive inverse/Modulative property

(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

6 0

3 years ago

Combine like terms to simplify.<br> 4y + 6x - 2y

olga nikolaevna [1]

Answer: 6x + 2y

Step-by-step explanation: 4y-2y are both alike terms, so you subtract the two, and then add 6x to it

6 0

3 years ago

Read 2 more answers

A home is to be built on a 56 foot 9 inch wide lot. The house is 5 feet 5 inches from the side of the lot and is 34 feet 10 inch

Anni [7]

Check the picture below, so the distance of the house from the other side is that blue gap.

so, there are 12 inches in 1 foot, so let's just convert all those feet to inches and subtract them.

$\bf 56'\implies (56\cdot 12)''\implies 672''
\\\\\\
5'5''\implies (5\cdot 12+5)''\implies 65''
\\\\\\
34'10''\implies (34\cdot 12 + 10)''\implies 418''\\\\
-------------------------------\\\\
672''-(65+418)''\implies 189''\implies 15'9''$

6 0

3 years ago

Read 2 more answers