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3 years ago

Write a polynomial function of least degree with integral coefficients that has the given zeros. -4, 1, 5

1 answer:

3 0

$\bf \begin{cases}
x=-4\implies &x+4=0\\
x=1\implies &x-1=0\\
x=5\implies &x-5=0
\end{cases}
\\\\\\
(x+4)(x-1)(x-5)=\stackrel{original~polynomial}{0}
\\\\\\
(x^2+3x-4)(x-5)=y\implies x^3+3x^2-4x-5x^2-15x+20=y
\\\\\\
x^3-2x^2-19x+20=y$

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Five gerbils cost p dollars. How many dollars will it cost to buy 1 gerbil? How many dollars will it cost to buy g gerbils? How

Fudgin [204]

5 gerbils = p dollars
1 gerbil = p/5 dollars
g gerbils = pg / 5 dollars

5/p gerbils = 1 dollar
5d/p gerbils = d dollars

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3 years ago

An electronics store makes a profit of $72 for every television sold and $90 for every computer sold. The manager’s target is to

exis [7]

the complete question in the attached figure

we have

$72 ------------------------------------ > for every television sold

$90 ------------------------------------ > for every computer sold.

let

x--------------------- > numbers of television sold

y--------------------- > numbers of computer sold

then

72x+90y >= $360 ----------- >72x/72+90y/72 >= $360 /72---- >x+1.25y >= $5

y >= (5-x)/1.25--------------see the graph in attached figure

case A---------- > (5,2) (3,3) (1,4)

72x+90y --------- > 72*5+90*2=540 >= 360----- > is solution

72x+90y --------- > 72*3+90*3=486 >= 360----- > is solution

72x+90y --------- > 72*1+90*4=432 >= 360----- > is solution

case B------------ > (4,0) (2,2) (1,1)

72x+90y --------- > 72*4+90*0=288 < 360----- > is not solution

72x+90y --------- > 72*2+90*2=324 < 360----- > is not solution

72x+90y --------- > 72*1+90*1=162 < 360----- > is not solution

case C------------ > (3,1) (2,2) (1,0)

72x+90y --------- > 72*3+90*1=306 < 360----- > is not solution

72x+90y --------- > 72*2+90*2=324 < 360----- > is not solution

72x+90y --------- > 72*1+90*0=72 < 360----- > is not solution

case D------------ > (4,0) (3,3) (1,4)

72x+90y --------- > 72*4+90*0=288 < 360----- > is not solution

72x+90y --------- > 72*3+90*3=486 >= 360----- > is solution

72x+90y --------- > 72*1+90*4=432 >= 360----- > is solution

the answer is case A

4 0

4 years ago

Read 2 more answers

Need help with this question!

rosijanka [135]

Not sure:((((((( sorrryyyy

3 0

3 years ago

Read 2 more answers

An author is having a book signing at a store. He agrees to give 5% of his profit to literacy programs and 15% of his profit to

quester [9]

Answer:

160

Step-by-step explanation:

15% + 5% = 20%

80%=0.8

200x0.8=160

6 0

3 years ago

Help please. only answer if you know :(

Harrizon [31]

Answer:

x = 437.3 ft

Step-by-step explanation:

Right Triangles

In right triangles, where one of its internal angles measures 90°, the trigonometric ratios are satisfied.

We have completed the figure below with the missing internal angle A that measures A = 90° - 29° = 61° because the lines marked with an arrow are parallel.

Given the internal angle A, we can relate the unknown side of length x with the known side length of 500 ft, the hypotenuse of the triangle. We use the sine ratio:

$\displaystyle \sin 61^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}$

$\displaystyle \sin 61^\circ=\frac{x}{500}$

Solving for x:

$x = 500 \sin 61^\circ$

Calculating:

x = 437.3 ft

7 0

3 years ago