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Aloiza [94]
3 years ago
12

How do i rewrite 1/4 : 1/3 as a unite rate

Mathematics
1 answer:
STatiana [176]3 years ago
8 0

Given:

The ratio is

\dfrac{1}{4}:\dfrac{1}{3}

To find:

The given ratio as unit rate.

Solution:

We have,

\dfrac{1}{4}:\dfrac{1}{3}

Fraction form of given ratio is

\dfrac{1}{4}:\dfrac{1}{3}=\dfrac{\dfrac{1}{4}}{\dfrac{1}{3}}

\dfrac{1}{4}:\dfrac{1}{3}=\dfrac{1}{4}\times \dfrac{3}{1}

\dfrac{1}{4}:\dfrac{1}{3}=\dfrac{3}{4}

\dfrac{1}{4}:\dfrac{1}{3}=0.75

Therefore, the unit rate of the given ratio is 0.75.

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Find all the zeros of the polynomial function P(x) x^4-4x^3 -5x^2+38x- 30
worty [1.4K]

Answer:

The zeros of the polynomial function are 1, -3, 3+i and 3-i.

Step-by-step explanation:

The given function is

P(x)=x^4-4x^3-5x^2+38x-30

We can find a zero of the given function by hit and trial method.

Substitute x=1 in the given function.

P(1)=(1)^4-4(1)^3-5(1)^2+38(1)-30

P(1)=0

The value of function is 0 at x=1 it means (x-1) is a factor of given function.

Substitute x=-3 in the given function.

P(-3)=(-3)^4-4(-3)^3-5(-3)^2+38(-3)-30

P(-3)=0

The value of function is 0 at x=-3 it means (x+3) is a factor of given function.

(x-1)(x+3)=x^2 + 2 x - 3

Divide the given function by x^2 + 2 x - 3, to get remaining factors.

\frac{x^4-4x^3-5x^2+38x-30}{x^2 + 2 x - 3}=x^2 - 6 x + 10

So, the factor form of given function is

P(x)=(x - 1) (x + 3) (x^2 - 6 x + 10)

Quadratic formula: If a quadratic equation is ax^2+bx+c=0, then

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Using quadratic formula find the zeroes of x^2 - 6 x + 10.

x=\frac{-(-6)\pm \sqrt{(-6)^2-4(1)(10)}}{2(1)}

x=\frac{6\pm \sqrt{-4}}{2}

x=\frac{6\pm 2i}{2}                   [\because \sqrt{-1}=i]

x=3\pm i

Therefore the zeros of the polynomial function are 1, -3, 3+i and 3-i.

3 0
3 years ago
What is the corresponding congruent part for each segment or angle?<br> Suppose △JXP≅△MQB
nadezda [96]
JP=MB
XP=QB
P=B
J=M

This is because every letter in the triangle notation is respective to one another
5 0
3 years ago
Read 2 more answers
SHOW WORK PLEASE <br> This is urgent I need help please please please
dalvyx [7]

Answer:

2.91 units

Step-by-step explanation:

If and only if this is a right triangle, we can apply the some fimctopm to determine the length of side BD:

                              side BC

tan 20 degrees = ---------------

                                    8

or side BC = 8 tan 20 degrees.  Since tan 20 degrees = 0.364 radians,

side BC has length 8(0.364) = 2.91 units

7 0
3 years ago
The expression is (10w^3)^2/5w equivalent to
Rasek [7]
The correct answer is:  3)  " <span>20w⁵ </span>" .
__________________________________________
Explanation:
_________________________________________

(10w³)²<span>/ (5w) =

[ 10</span>² * w⁽³*²)<span>  ] /  [5w] =

(100* w</span>⁶) / 5w =

(100/5) * w⁽⁶⁻¹⁾ = 

20 * w⁵ =

20w⁵ ;  which is: Answer choice:  3)  " <span>20w⁵ </span>" .
_____________________________________________________
3 0
3 years ago
Help plz:)))I’ll mark u Brainliest
KengaRu [80]

Answer:

x=1,CD=5

Step-by-step explanation:

It's given that ABCD\cong FGHJ. Because the side CD corresponds with the side HJ, their lengths will be equal. Therefore, we have:

2x+3=3x+2,\\x=1

Plugging x=1, we have:

CD=2(1)+3=5.

3 0
3 years ago
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