I am confused on numbers 25 and 29, the instructions are at the top.

Answers

Answer 1

Answer: #25 is fairly simple. Plug in -4 and 3 into the equation, and the extraneous root will be the one that does not work.
$√(12-(-4)) = √(16) = \frac{+}{}4$
Extraneous root in this case is positive four since +4≠-4
$√(12-3) = √(9) = \frac{+}{}3$
In this case it's negative 3, since -3≠3

#29 can be turned into a quadratic equation.
$x= √(2x+3)$
Square both sides to get
$x^(2)=2x+3$
Then bring the 2x+3 to the other side, setting the quadratic equal to zero.
$x^(2)-2x-3=0$
Factor to find that it's equivalent to
(x-3)(x+1)=0
Therefore x is equal to positive 3 and negative 1. Plug both back into the original equation. Whichever does not work is the extraneous root, and the answer is the one that does.
$x= √(2x+3)$
$3= √(2(3)+3)$
$3= √(9)$
Extraneous root would be negative 3.

$-1= √(2(-1)+3)$
$-1= √(1)$
Extraneous root would be positive 1.

Your answers are positive 3 and negative 1.
Extraneous roots are negative 3 and positive 1.

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I need help write in line slope-intercept from

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

The equation for the line in slope-intercept form is

$y=mx+b$

where

m is the slope

b is the y-intercept

For example, a line of the form $y=-3x+2$ can be termed as the line of an equation in slope-intercept form after comparing with it.

$y=-3x+2$

where

$m=-3$

y-intercept = b = 2

2. A polygon that has no interior angles greater than 180 degrees is a ________________ polygon. *

Answers

Answer: convex

Step-by-step explanation:

your answer = convex

hope this helps:)

Add.
(-534 +622 - 43) + (625 - 2? + 121 + 12)
Express the answer in standard form.

Answers

Answer:

801

Step-by-step explanation:

At the veterinarian's office, 4 animals out of every 5 seen were cats. A total of 35 animals were seen.a. How many cats were seen?

b. The ratio of male cats seen was 6:7. How many of the cats seen were males?

Answers

a: 28 cats were seen, to find the answer you multiply the ratio, 4:5 by 7 so that the total animals is 35, 28:35
b:24 cats seen were males, you do this problem similar to the other one. Multiply the ratio by 4 so that the total number of cats is 28, 24:28

Unknown g (x) = ax + b and g (g (x)) = 16x - 15. Calculate the value of a and b.

Answers

g(g(x))=16x-15
means that when you subsituted g(x) for x in g(x), you got 16x-15

a(ax+b)+b=16x-15
distribute
xa^2+ab+b=16x-15d
we look at the x terms
therefor
xa^2=16x
a^2=16
a=-4 or 4
we will find out

look a constant terms
ab+b=-15
undistribute b
b(a+1)=-15

if a is -4 then
b(-4+1)=-15
b(-3)=-15
b=5

if a=4 then
b(4+1)=-15
b(5)=-15
b=-3

so
g(x)=-4x+5 or
g(x)=4x-3

if a=-4, b=5
if a=4, b=-3

A polynomial has one root that equals 5-7i. Name one other root of this polynomial

Answers

Answer:

The other root of the polynomial is 5+7i.

Step-by-step explanation:

According to the complex conjugate root theorem, if a complex number is a root of a polynomial, then its conjugate is also a root of that polynomial.

It means, if a+ib is a complex root of a polynomial, then its conjugate a-ib is also the root of that polynomial.

It is given that the a polynomial has one root that equals 5-7i.

To find the conjugate of a complex number the sign of imaginary part is changed.

The conjugate of 5-7i is 5+7i.

A polynomial has one root that equals 5-7i, using complex conjugate root theorem 5+7i is the other root of this polynomial.

Answer:

The other root is 5 + 7i.

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