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3 years ago

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Mathematics

1 answer:

Digiron [165]3 years ago

4 0

Answer:The Answer is C

Step-by-step explanation:

Since they are 5 rows of pennies each having 6 pennies, this is a multiplication story, not a division story. All the other ones have the key word share, divided meaning division.

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according to the fundamental theorem of algebra , how many zeros does the polynomial below have x^4 +5x^3+10x^2+20x+24

Vinil7 [7]

Answer:

Step-by-step explanation:

the Fundamental Theorem of Algebra states that for any polynomial of degree n, there are n roots, some of which may be complex

The polynomial shown is of degree 4 ( highest exponent of x )

Hence the polynomial has 4 roots/ zeros

8 0

3 years ago

Read 2 more answers

Jessica made plans to weave a rectangular jute rug, but she needs to update the plans to change the dimensions of the rug. The o

loris [4]

Answer:

Length of rug in original design is 36 inches .

Width of rug in original design is 60 inches .

The problem says that the new design has length 3x inches longer and x inches wider than the rug in the original plans .

New length of rug would be 3x inches longer than the original design which is 36 inches .

Thus new length of rug is ( 3x + 36 ) inches .

New width of rug is x inches wider than the rug in the original plans which is 60 inches in original plan .

Thus new width of rug is ( x + 60 ) inches .

Area of rectangle is Length * Width

Area of new rug is ( 3x + 36 ) * ( x + 60 )

We distribute the terms using FOIL method .

( 3x + 36 ) *( x + 60 ) = 3x ( x + 60 ) + 36 ( x + 60 )

= 3x² + 3x * 60 + 36 x + 36 * 60

= 3x² + 180 x + 36 x + 2160

Combining like terms , 3x² + 216 x + 2160

Thus the area of the rug with the new dimensions is

( 3x + 36) ( x + 60 ) = 3x² + 216 x + 2160 .

7 0

3 years ago

Read 2 more answers

Ronaldo can kick a soccer ball 35 meters per second which is about 80 mph. He kicked the ball from one end of the field to the o

professor190 [17]

Answer:

$t=3.142sec$

Step-by-step explanation:

From the question we are told that:

Speed of ball $V=35m/s\approx 80 mph$

Length of field $l=110m$

Generally the equation for Time taken $t$ is mathematically given by

$t=m/V$

$t=110/35$

$t=3.142sec$

$t \approx \frac{3.142}{60}$

$t \approx 0.05hrs$

Therefore it will take the ball to get from one end of the field to the other

$t=3.142sec$

3 0

3 years ago

What are the possible numbers of positive, negative, and complex zeros of f(x) = 3x4 − 5x3 − x2 − 8x + 4?

Scorpion4ik [409]

Answer:

Two positive zeros, no negative zeros, two complex roots.

Step-by-step explanation:

The given function is $f(x)=3x^4-5x^3-x^2-8x+4$

According to the fundamental theorem of algebra, the function will have 4 roots.

The graph of the function intersects the positive axis at two points.

Hence the function has two positive zeros and no negative zeros.

The two remaining roots are imaginary. The function has two complex zeros.

See graph in attachment

3 0

3 years ago

Need help ASAP!!!! Been thinking for a long time.

Keith_Richards [23]

Answer:

81%

Step-by-step explanation:

First, let's set up 3 equations:

w*0.6 = x

x*1.5=y

y*0.9=z

Now, we can substitute x in the second equation for w*0.6:

w*0.6*1.5 = y

Lastly, we can substitute y in the last equation for w*0.6*1.5:

w*0.6*1.5*0.9=z

w*0.81=z

Therefore, z is 81 percent of w.

6 0

3 years ago