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PIT_PIT [208]
3 years ago
12

Is (x+7) a factor of f(x)= x^3-3x^2+2x-8

Mathematics
1 answer:
nikklg [1K]3 years ago
6 0

Answer:

Step-by-step explanation:

Use synthetic division to answer this.  If the remainder is zero, then we can safely assume the divisor (x + 7) is a factor of the polynomial f(x)= x^3-3x^2+2x-8.

We use -7 as the divisor in synth. div.  This comes from the factor (x + 7):

-7   /    1    3     2     -8

               -7   28  -210

     -------------------------

         1      -4   30   -218

Here, the remainder is -218, not zero, so no, (x+7) is not a factor of f(x)= x^3-3x^2+2x-8.

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Triangles MOP and MNQ are similar. Find x.
konstantin123 [22]

Corresponding sides in the triangles MOP and MNQ are

MO and MN,

OP and NQ,

PM and QM.

Ratios of the corresponding sides for similar triangles should be the same.

MQ/MP =MN/MO

MQ/(MQ+QP) = MN/(MN+NO)

5/(5+x) = 6/(6+18/5)

5*(6+18/5)=6(5+x)

30+18 = 30 +6x

18=6x

x=3 =QP

4 0
3 years ago
Half the sum of a number and 1.75 is −5.1. Enter your answer as a simplified mixed number
musickatia [10]

The unknown number expressed as a mixed fraction is 11 19/20

Let the unknown number be "x"

The sum of the number and 1.75 is expressed as x + 1.75

Half the sum of a number and 1.75 is 1/2(x+1.75)

Equating the result to -5.1 wil give:

1/2(x+1.75) = -5.1

Solve the resulting equation

x + 1.75 = 2(-5.1)

x + 1.75  = -10.2

x = -10.2 - 1.75

x = 11.95

x = 1195/100

x = 11 95/100

Hence the unknown number expressed as a mixed fraction is 11 19/20

Learn more here: brainly.com/question/14583740

5 0
2 years ago
Angel buys a 12-pack of granola bars for $9. What is the unit price? $1.33 $0.75 $1.20 $0.80
lys-0071 [83]

Answer:

$.75

Step-by-step explanation:

9 ÷ 12 = 0.75

.75 × 12 = 9

5 0
3 years ago
Physics students were modeling the height of a ball once it was dropped from the top of a 10 foot ladder. The
julsineya [31]

Answer:

<em>Interval notation: [0, 2.236]</em>

<em>Set Builder notation: </em>\{t\ |\ 0\le t\le 2.236\}

Step-by-step explanation:

Given that:

Equation of height of the ball dropped from a height of 10 foot, as:

h(t) = 10 - 2t^2

Where t is the time since the ball was dropped.

To find:

The domain of the function in Interval and set builder notation.

Solution:

<em>Domain of a function </em>is defined as the set of valid input values that can be given to the function for which the function is defined.

Here, input is time.

We can not have negative values for time.

Therefore, starting value for time will be <em>0 seconds</em>.

And the value of height can not be lesser than that of 0 ft.

0= 10 - 2t^2\\\Rightarrow 2t^2=10\\\Rightarrow t^2=5\\\Rightarrow t =2.236\ seconds

Maximum value for time can be 2.236 seconds.

Therefore the domain is:

<em>Interval notation: [0, 2.236]</em>

<em>Set Builder notation: </em>\{t\ |\ 0\le t\le 2.236\}

4 0
3 years ago
Need help asappp
lozanna [386]

Answer:

552

Step-by-step explanation:

4 0
3 years ago
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