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2 years ago

What is the slope of the line that passes through the points (-3, 5) and (1, 7)?

Mathematics

2 answers:

masya89 [10]2 years ago

5 0

Answer:

A) 1/2

First graph the points (-3, 5), and (1, 7).

After connecting a line,...

Here is a graph to help you understand:

Leviafan [203]2 years ago

3 0

Answer:

$m=\frac{1}{2}$ OR A

Step-by-step explanation:

$y=\frac{1}{2}x+\frac{13}{2}$ would be the equation.

OR in standard form:

x−2y=−13 $x-2y=-13$

Either way, you can solve for $"m"$

Hope this helps!!!

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Jesse borrowed $350 from his mom to buy an electric scooter. Jesse will pay her

stepan [7]

Answer:

the answer is A

Step-by-step explanation:

350×3% =10.5

ans×5=21

3 0

3 years ago

Write a linear inequality to represent the information given. shanley would like to give $5 gift cards and $4 teddy bears as par

aliya0001 [1]

Given that Shanley would like to give $5 gift cards and $4 teddy bears as party favors and that Shanley has $128 to spend on party favors.

The inequality to find the number of gift cards x and teddy bears y Shanley could purchase is given by

$5x+4y\leq128$

One solution to the inequality is that Shanley can buy 12 gift cards and 15 teddy bears.

5 0

2 years ago

Find the volume of a cube with a side length of 2 in, to the nearest tenth of a cubic

galina1969 [7]

Answer:

Step-by-step explanation:

volume of cube = side lenght ^3

= 2^3

= 8cubic inch.

8 0

2 years ago

From previous polls, it is believed that 66% of likely voters prefer the incumbent. A new poll of 500 likely voters will be cond

Vladimir79 [104]

Answer:

The mean and standard deviation of the number preferring the incumbent is mean = 330, standard deviation = 10.59.

Step-by-step explanation:

We are given that From previous polls, it is believed that 66% of likely voters prefer the incumbent.

A new poll of 500 likely voters will be conducted. In the new poll the proportion favoring the incumbent has not changed.

Let p = probability of voters preferring the incumbent = 66%

n = number of voters polled = 500

So, the mean of the number preferring the incumbent is given by;

Mean = $n \times p$ = $500 \times 0.66$

= 330 voters

And, standard deviation of the number preferring the incumbent is given by;

Variance = $n \times p\times (1-p)$

= $500 \times 0.66 \times (1-0.66)$

= 112.2

So, Standard deviation = $\sqrt{Variance}$

= $\sqrt{112.2}$ = 10.59

7 0

2 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

2 years ago