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2 years ago

Use substitution to write an equivalent quadratic equation. (3x + 2)2 + 7(3x + 2) – 8 = 0

Mathematics

2 answers:

ANEK [815]2 years ago

6 0

Let z = 3x+2. Then, by substitution, your equation is
.. z^2 +7z -8 = 0

_____
This equation can be factored as
.. (z +8)(z -1) = 0
.. x = -8 or +1
Then
.. 3x +2 = -8 or +1
.. 3x = -10 or -1
.. x = -10/3 or -1/3

nirvana33 [79]2 years ago

3 0

CORRECT ANSWER : u^2+7u-8=0, where u=3x+2

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1. Find p(-3) if p(x) = 4x3 - 5x2 + 7x - 10

SVETLANKA909090 [29]

Answer:

1) -184

2) 13 $(m^{4}) ^{2}$ -3( $m^{4}$ )+4

Step-by-step explanation:

For problem number 1, Let's start by substituting all the x's for -3

So the equation will look like

p(-3)= $4(-3)^{3}$ - $5(-3)^{2}$ +7(-3)-10

Now, lets simplify by solving the exponents

First we'll do $-3^{3}$ which equals -27

Now we'll do $-3^{2}$ which equals 9

So now our equation looks like

p(-3)=4(-27)-5(9)+7(-3)-10

Now, we are going to multiply all these numbers

First 4(-27) which equals -108

Now -5(9) which equals -45

And finally 7(-3) which equals -21

Now our equation looks like

p(-3)= -108-45-21-10

Now we can solve

-108-45-21-10=-184

8 0

3 years ago

G.O has 4/5 gallons he spillted them into 4 cups how much water is in each cup?

Sergio039 [100]

Answer:

1/5 gallon

Step-by-step explanation:

4/5 divided into 4 is the same that 4/5 multiplied by 1/4

4/5* 1/4 = 4/20 = 1/5

6 0

3 years ago

Is pi/pi irrational

dedylja [7]

Answer:

No, $\frac{\pi}{\pi}$ is 1 which can be written as $\frac{1}{1}$ . The definition of rationals is any number that can be written as a ratio of an integer to an integer where the bottom integer is not 0.

Step-by-step explanation:

$\frac{\pi}{\pi}=1$ since $1(\pi)=\pi$ .

Rational numbers included anything that can be written as a fraction where the top and bottom are integers (bottom integer is not 0).

1 can be written many different ways. It can be written as $\frac{1}{1}$ .

Both the numerator and the denominator of the rewrite of one that I did are integers.

The integers include the following numbers:

{...,-4,-3,-2,-1,0,1,2,3,4,...}.

The integers are the whole numbers and the opposite of the whole numbers.

The whole numbers are {0,1,2,3,4,...}.

The opposite of the whole whole numbers are {...,-4,-3,-2,-1,0}.

3 0

3 years ago

Consider a triangle formed by connecting the three points: (0 0 0), (1 0 0), (1 1 1). a. Find the vector which is perpendicular

Sidana [21]

Answer:

=k−j or (0 -1 1)

Step-by-step explanation:

The Vector or Outer Product two vectors, say →x&→y, is

denoted by →x×→y, is a perpendicular vector to the plane containing them.

The given pts. A (0 0 0), B (1 0 0), C (1 1 1) lie in a

plane ABC.

As suchType equation here., the vectors (→(AB ) )and (→AC ) are members, ∈ of the plane ABC

That is □(→(AB )×(→AC)) to the plane ABC

(→(AB ) )=(1-0,0-0,0-0)=(1,0,0)

(→(AC ) )=(1-0,1-0,1-0)=(1,1,1)

(→(AB )×(→AC= (0i -j k)

=k−j

Which is in the positive Z direction

3 0

3 years ago

Please answer this correctly is the answer <br> 2:29am<br> 3:29am<br> 1:35am<br> 6:29am

Lady bird [3.3K]

Answer:

2:29 AM

Step-by-step explanation:

By the time the planes reaches California, the time, in Mountain time, is 14:89 AM or 3:29 AM. From the mountains to the Pacific, the time goes back by 1 hour. 3:29 - 1 hour is 2:29 AM.

6 0

3 years ago