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2 years ago

Is (x + 1) a factor of 10x^3 - 15x^2 + 7x + 32?

Mathematics

1 answer:

iragen [17]2 years ago

5 0

$10x^3-15x^2+7x+32^{}=0$

we can divide the equation on (x+1) and if we have a real solutons (x+1) is a factor

is a factor because the remainder is 0

so the new form of the equation is

$(x+1)(10x^2-25x+32)$

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in a sale there is 25% off and a bed costs 33 pounds in the sale so how much was it before the sale ?

IceJOKER [234]

44 pounds
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6 0

3 years ago

There are nickels, dimes, quarters in a large piggy bank, for every 2 nickels there are 3 dimes, for every 2 dimes there are 5 q

Alex

There are 80 nickels and 120 dimes and 300 quarters in piggy bank

Solution:

Given that,

For every 2 nickels there are 3 dimes ,

So, ratio of nickel to dime will be 2 : 3

Also for every 2 dimes there are 5 quarters

So, ratio of dime to quarters is 2 : 5

Let us first find the ratio of nickles to dimes to quarters

nickel : dime = 2 : 3

dime : quarters = 2 : 5

$\frac{nickel}{dime} = \frac{2}{3}$

$nickel = \frac{2}{3} dime$

$\frac{dime}{quarter} = \frac{2}{5}$

$quarter = \frac{5}{2}dime$

So,

$nickel : dime : quarter = \frac{2}{3}dime : dime : \frac{5}{2}dime\\\\nickel : dime : quarter = \frac{2}{3} : 1 : \frac{5}{2}\\\\nickel : dime : quarter = 4 : 6 : 15$

Thus nickel : dime : quarters = 4 : 6 : 15

Now, let the number of nickel be 4x

Let the number of dimes be 6x

Let the number of quarters be 15x

From given question,

There are 500 coins in all.

number of nickel + number of dimes + number of quarters = 500

4x + 6x + 15x = 500

25x = 500

x = 20

Thus,

number of nickel = 4x = 4(20) = 80

number of dimes = 6x = 6(20) = 120

number of quarters = 15x = 15(20) = 300

Thus there are 80 nickels and 120 dimes and 300 quarters in piggy bank

3 0

3 years ago

2y - 8x - 20 In slope

lilavasa [31]

Answer:

y=4x+10

Step-by-step explanation:

2y-8x-20=0

2y-8x=0+20

2y-8x=20

2y=8x+20

y=4x+10

Hope that will help!!

8 0

3 years ago

Find the value of x in the triangle shown below 3.5 4 3.5 x• 55•

Dvinal [7]

Answer:

Step-by-step explanation:

Since this is not a right triangle, we will use the Law of Sines. For us that looks like this:

$\frac{sin55}{3.5} =\frac{sinx}{4}$ and cross multiply to get

4sin55 = 3.5sinx and solve for sinx:

$sinx=\frac{4sin55}{3.5}$ so

sinx = .9361737 Use the 2nd button on your calculator and the sin button to find that the angle

x = 69.4°. Not sure how you need it rounded. It's actually 69.4186°

6 0

3 years ago

The table below shows 10 data values 125 138 132 140 136 136 126 122 135 121 What values of minimum, Q1, median, Q3, and maximum

Troyanec [42]

We have to put the numbers in order..
(121,122,125, 126,132),M,(135,136,136,138,140)

minimum : (smallest number) = 121
Q1 : 125
Q2 (median) : (132 + 135) / 2 = 267/2 = 133.5
Q3 : 136
maximum : (largest number) = 140

4 0

4 years ago

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