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3 years ago

What two numbers multiply to -320 and add to 32

1 answer:

8 0

Let a and b be the numbers,then a+b=32,b=32-a
ab=-320
a(32-a)=-320
32a-a^2=-320
a^2-32a-320=0
a^2-40a+8a-320=0
a(a-40)+8(a-40)=0
(a-40)(a+8)=0
a=40 or-8
when a=40,b=32-40=-8
when a=-8,b=32-(-8)=32+8=40
so numbers are 40 and -8

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Help please! <br><br> Which graph below shows the rule output = 5 times input

skelet666 [1.2K]

The first graph does. This is because of the rate of growth most likely being 5x.

8 0

3 years ago

Read 2 more answers

A sweater is marked down $25 to $19 what is the percent of change

Marrrta [24]

19/25 = x/100
Cross multiply:
1,900
Divide 1,900 by 25
Equals 76
Subtract 76 from 100
Answer: 24% change

I hope this helps!

7 0

3 years ago

Let P(x,y) be a propositional function if ꓯyꓱxP(x,y) is true does it necessarily follow that ꓱxꓯyP(x,y) is true? Justify your an

andrew11 [14]

Answer:

It is NOT TRUE

Step-by-step explanation:

ꓯyꓱxP(x,y)

means that for each value of y there exist x such that P(x,y) is true

whereas

ꓱxꓯyP(x,y)

means that there exists x such that for each value y, P(x,y) is true.

In the second case, the same x must work for every element y.

Counter-example

Consider

P(x,y) the following proposition

x-y = 0, for x, y integers.

Given an integer y, there is another integer x (namely, x=-y) such that

x-y = 0

so, ꓯyꓱxP(x,y) is TRUE

If ꓱxꓯyP(x,y) were TRUE, then would exist a single unique value of x such that P(x,y) is TRUE for every integer y.

Then P(x,1) and P(x,2) would be both TRUE and

x-1 = 0

x-2 = 0

and we conclude 1=2, which is a contradiction.

So ꓱxꓯyP(x,y) is NOT TRUE (FALSE)

5 0

3 years ago

PLEASE HELP I HAVE AN HOUR LEFT!!

Yuki888 [10]

The statement that correctly describes the horizontal asymptote of g(x) is:

Limit of g (x) as x approaches plus-or-minus infinity = 6, so g(x) has an asymptote at y = 6.

<h3>What are the asymptotes of a function f(x)?</h3>

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

The horizontal asymptote is the limit of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, the function is:

$g(x) = \frac{42x^3 - 15}{7x^3 - 4x^2 - 3}$

The horizontal asymptote is given as follows:

$y = \lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} \frac{42x^3 - 15}{7x^3 - 4x^2 - 3} = \lim_{x \rightarrow \infty} \frac{42x^3}{7x^3} = \lim_{x \rightarrow \infty} 6 = 6$

Hence the correct statement is:

Limit of g (x) as x approaches plus-or-minus infinity = 6, so g(x) has an asymptote at y = 6.

More can be learned about asymptotes at brainly.com/question/16948935

#SPJ1

5 0

2 years ago

Find the area of the polygon.

Margarita [4]

Answer:

240

Step-by-step explanation:

Hello There!

Note: the little arrows indicate that the line can be extended and it's opposite side will never touch indicating that it's a parallelogram

The formula for area of a parallelogram is

$A=bh$

where b = base and h = height

the given dimension are

height = 15

base = 16

so all we have to do is plug in the values into the formula

$A=(15)16\\15*16=240\\A=240$

so we can conclude that the area of the polygon is

240 square units

8 0

3 years ago