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alexgriva [62]
3 years ago
6

7a3-2a(6a2-5a-8) what are the steps to solve this problem

Mathematics
1 answer:
Advocard [28]3 years ago
3 0

Answer:

-5a³+10a²+16a

Step-by-step explanation:

Distribute 2a first to 6a²-5a-8

7a³-12a³+10a²+16a

Add like terms.

-5a³+10a²+16a

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What word describes the slopes of the line
grin007 [14]

Answer:

Positive

Step-by-step explanation:

There are a couple ways we can go about this.

First, we can see that as x increases, so does y, so that means its positive

For perspective, if x is the amount of time and y is the number of sales, we can see that the sales are going up and not going down or staying at the same place

If you wanna check your work on that, you can plot two points and find the slope using y1-y1/x1-x2 and the slope will be positive.

We can also use the process of elimination, we know it can't be zero because it's not a straight, horizontal line and we know its not undefined because it isn't a straight vertical line, so it's between negative and positive, and since the line is going up, that means that it's positive.

4 0
3 years ago
To find mileage, or how many miles a car can travel per gallon of gasoline, you can use the expression m/g, where m is the dista
White raven [17]
I think the answer is 26.5 mpg. I divided 212 by 8 and got 26.5 as my answer.
5 0
3 years ago
The symbol ⊕ is used to denote exclusive or, so p ⊕ q ≡ (p v q) ^ ~ (p ^ q).
Elan Coil [88]

I'll use text forms of the logical symbols because copying/pasting on mobile is annoying.

⊕ = XOR

∨ = OR

∧ = AND

~ = NOT

↔ = IFF (meaning "if and only if")

→ = IMP (short for "implies")

and for logical equivalence I'll use a regular equal sign.

Then

p XOR q = (p OR q) AND NOT (p AND q)

(a) By definition of XOR, we have

p XOR p = (p OR p) AND NOT (p AND p)

= p AND NOT p

and this is tautologically FALSE.

(b) To rewrite XOR, first distribute the NOT over the AND using DeMorgan's law:

NOT (p AND q) = NOT p OR NOT q

Then we can interchange the AND and ORs using their respective distributive properties. That is,

p XOR q = (p OR q) AND (NOT p OR NOT q)

= (p AND (NOT p OR NOT q)) OR (q AND (NOT p OR NOT q))

= ((p AND NOT p) OR (p AND NOT q)) OR ((q AND NOT p) OR (q AND NOT q))

Both (p AND NOT p) and (q AND NOT q) are tautologically FALSE, so the truth value of either OR depends only on the other statements, so we have

p XOR q = (p AND NOT q) OR (q AND NOT p)

Recall the definition of IFF:

p IFF q = (p IMP q) AND (q IMP p)

Also recall that IMP is logically equivalent to

p IMP q = p OR NOT q

Then we have

p IFF q = (p OR NOT q) AND (q OR NOT p)

so that its negation is

NOT (p IFF q) = NOT ((p OR NOT q) AND (q OR NOT p))

= NOT (p OR NOT q) OR NOT (q OR NOT p)

= (NOT p AND q) OR (NOT q AND p)

The statements in bold match, so p XOR q is indeed equivalent to NOT (p IFF q).

3 0
3 years ago
6th grade math ! C: help please
densk [106]

Answer:

9

Step-by-step explanation:

45 Cookies... 5hrs

? cookies... 1 hr

45 ÷ 5 = 9

9 cookies per hour

7 0
3 years ago
Lucinda wants to build a square sandbox, but she has no way of measuring angles. Which of the following explains how she can mak
Sati [7]
All of the angles should be the same because a square has all equal angles and side lengths.
6 0
3 years ago
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