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2 years ago

Solve for the roots in the following equation. hint: factor both quadratic expressions. (x 4 5x 2 - 36)(2x 2 9x - 5) = 0

Mathematics

2 answers:

OleMash [197]2 years ago

7 0

Hello :
<span>(x 4 +5x² - 36)(2x ²+ 9x - 5) = 0</span>

Hoochie [10]2 years ago

4 0

The roots are 2,-2,3i,-3i,1/2,-5

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Josh used a standard deck of 52 cards to conduct an experiment. Half of the cards in the deck were red. The other half were blac

geniusboy [140]

Answer: C. He used too few trials for the sample space.

Step-by-step explanation:

Given: Josh used a standard deck of 52 cards to conduct an experiment.

As half of the cards in the deck were red.

If we take sample space= 52 cards

Then probability of getting a red card $=\frac{1}{2}$

But Josh took 8 cards as sample space which is not enough for the sample space.

therefore, C. is the right answer. "He used too few trials for the sample space."

8 0

1 year ago

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A park has a 333 meter (\text{m})(m)left parenthesis, start text, m, end text, right parenthesis tall tether ball pole and a 6.8

dybincka [34]

Answer:option B & D are correct

Step-by-step explanation:

Given options are

A B C D E

Tether ball pole shadow 1.35 1.8 3.75 0.6 2

Flagpole shadow 3.4 4.08 8.35 1.36 4.8

Ratio of corresponding height & shadows should be same

3 meter tall tether ball pole and a 6.8 tall flagpole

=> Ratio = 6.8/3 = 68/30 = 34/15

A - 3.4/1.35 = 340/135 ≠ 34/15( 306/135)

B - 4.08/1.8 = 408/180 = 34/15 = 34/15 ( Correct option)

C 8.35/3.75 = 835/375 = 167/75 ≠ 34/15( 170/75)

D 1.36/0.6 = 136/60 = 34/15 = 34/15 ( Correct option)

E 4.8/2 = 48/20 = 12/5 = 36/15 ≠ 34/15

option B & D are correct

6 0

2 years ago

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Which expression is equivalent to the expression below? StartFraction m + 3 Over m squared minus 16 EndFraction divided by Start

Kamila [148]

Option B: $\frac{1}{(m-4)(m-3)}$ is the correct answer.

Explanation:

The given expression is $\frac{(\frac{m+3}{m^2-16}) }{(\frac{m^2-9}{m+4} )}$

Simplifying the expression, we have,

$\frac{m+3}{m^{2}-16}\times\frac{m+4}{m^2-9}$

Factor the equations, $m^{2}-16\right$ and $m^{2}-9$ ,we get,

$m^{2}-16\right=m^{2}-4^{2}=(m+4)(m-4)$

$m^{2}-9=m^{2}-3^2=(m+3)(m-3)$

Substituting these factored expressions in the above expression, we have,

$\frac{m+3}{(m+4)(m-4)}\times\frac{m+4}{(m+3)(m-3)}$

Cancelling the common terms $m+3$ and $m+4$ , we get,

$\frac{1}{(m-4)(m-3)}$

Thus, the expression equivalent to $\frac{(\frac{m+3}{m^2-16}) }{(\frac{m^2-9}{m+4} )}$ is $\frac{1}{(m-4)(m-3)}$

Hence, Option B is the correct answer.

3 0

2 years ago

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Mary was told that a line goes through the points (1, 3) and (6, -2) and has a slope of 3.

ki77a [65]

Answer:

a. The slope is incorrect

b. y = 3x, ( 0 , 0 )

c) y = 4 - x

Step-by-step explanation:

Given:-

The slope between two points (1, 3) and (6, -2) is 3.

a. Explain why the information Mary was given cannot be correct.

- The slope between two arbitrary points, ( x1 , y1 ) and (x2 , y2) is given by the following relationship:

slope = ( y2 - y1 ) / ( x2 - x1)

- Use the given points (1, 3) and (6, -2) and determine the slope:

slope = ( -2 - 3 ) / ( 6 - 1 )

slope = ( -5 ) / ( 5 )

slope = -1

- Yes, the given slope is incorrect it should be = -1

b.If the given point (1, 3) and the given slope are correct, what is the equation for the line? Give the coordinates of another point on the line

- We will assume the point (1,3) lies on line with a slope = 3.

- We will use the slope-intercept equation of line:

y = slope*x + c

Where, m : Slope

c : y-intercept

y = 3x + c

Using the given correct point to evaluate the y-intercept (c):

3 = 3*1 + c

c = 0

- The equation of line is,

y = 3x

- The origin (0,0) lies on the line y = 3x.

c. If the given points are correct for the line, what is the slope? Write an equation for the line

- We will assume the points (1, 3) and (6, -2) lies on line with a slope calculated in part (a) to be = -1.

- We will use the slope-intercept equation of line:

y = slope*x + c

Where, m : Slope

c : y-intercept

y = -x + c

Using the given points to evaluate the y-intercept (c):

3 = -1 + c

c = 4

- The equation of line is,

y = -x + 4

4 0

2 years ago

If w= the weight of trout. Which algebraic expression represents the phrase below?

konstantin123 [22]

Product means multiplication.

Given w= weight of a trout.

So, we need to convert "product of 16 and weight of trout: w " into an algebraic expression.

So, product of 16 and w can be written as 16*w or simply 16w.

Hence, B is the correct choice.

8 0

1 year ago

Read 2 more answers