Find the value of x. Show your work with proper statements and notation. P e MQ.

Answer: (x-3)(x-1)(x+5)

Step-by-step explanation: Factor this polynomial, to do that you use the rational roots theorem.

Answer: (x-1)(x-3)(x+5)

Step-by-step explanation:

Use the rational root theorem

Constant term = 15, Coefficient of leading term = 1

Factors of 15: 1, 3 , 5, 15

Factors of 1: 1

Therefore, (x-1) is a factor

[tex]\begin{array}{l}=\frac{\left(x-1\right)\frac{x^3+x^2-17x+15}{x-1}}{x-3}\\\\=\frac{\left(x-1\right)\left(x^2+2x-15\right)}{\left(x-3\right)}\\\\=\frac{\left(x-1\right)\left(x-3\right)\left(x+5\right)}{x-3}\\\\=\left(x-1\right)\left(x+5\right)\end{array}[/tex]

Cubic equations must have 3 factors to get to the third degree, therefore (x-1)(x-3)(x+5)

Answer:

3

Step-by-step explanation:

If x-1 is a factor, then x=1 is a solution. So:

0=1³+1k-4

1k=3

k=3 .........

For the given trinomial that has the factor (x -1), k = 1,

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

Given a trinomial equation:

f(x)=x^3+kx-4

And also given it has a factor (x - 1)

Thus, at x = 1 the value of the f(x) will be 0

So,

f(x) = x^3 + kx - 4

f(1) = 1^3 + k*1 - 4

0 = 1 + k -4

k = 3

therefore, The value of k = 1 for the given Trinomial that has  the factor (x -1)

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Answer:

Correct answer:

3

Step-by-step explanation:Using the defined function, f(a) will produce the same result when substituted for x:

f(a) =  a2 – 5

Setting this equal to 4, you can solve for a:

a2 – 5 = 4

a2 = 9

a = –3 or 3

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

40/50

Answer:

$510

Step-by-step explanation:

Formula for calculating money with simple interest: principle money × interest rate with 100% × period of time

Total amount of money = 100 × [tex]\frac{100+2}{100}[/tex] × 5

                                       = 510

divide 9.75 by 15 equals sixty ixty five cent's

Answer:

3 meters/second

Step-by-step explanation:

acceleration = rate of change of speed (velocity)/change in time

                     = 16 - 4/4

                     = 12/4 = 3 m/s

Answer: The slope is undefined.

Step-by-step explanation:

Using the formula given, find the difference in the y coordinates of the points and divide it by the x coordinates.

(3,6)

(3,-3)  

y coordinates:  6 - (-3) =  9

x coordinates:   3- 3 = 0  

9/0 =  undefined.

Any number being divided by 0  is undefined because you can't divide something by anything.  

Also remember that if a line is vertical through any of the x coordinate, the slope will always be undefined and the equation of line is x = 3

Answer:

can you add a picture of the circle?

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Let's solve your equation step-by-step.

−3(10+4v)=−6(5−9v)

Step 1: Simplify both sides of the equation.

−3(10+4v)=−6(5−9v)

(−3)(10)+(−3)(4v)=(−6)(5)+(−6)(−9v)(Distribute)

−30+−12v=−30+54v

−12v−30=54v−30

Step 2: Subtract 54v from both sides.

−12v−30−54v=54v−30−54v

−66v−30=−30

Step 3: Add 30 to both sides.

−66v−30+30=−30+30

−66v=0

Step 4: Divide both sides by -66.

−66v

−66

=

0

−66

v=0

Answer:

omg im so sorry

Step-by-step explanation:

Answer:

easy the answer is d)y=2

Step-by-step explanation:

why because

3y−4=6−2y

Add 2y to both sides.

3y−4+2y=−2y+6+2y

5y−4=6

Add 4 to both sides.

5y−4+4=6+4

5y=10

Divide both sides by 5.

5y/5 = 10/5

y=2

Answer:

1/20

Step-by-step explanation:

1/20

Answer:

ever get answer et

Step-by-step explanation:

Answer:

Step-by-step explanation:

1

. Start by making a "let statement."

Let

x

represent the weight of the package.

2

. Create an algebraic expression.

5

7

x

=

40.5

i

pounds

3

. Isolate for

x

by dividing both sides by

5

7

.

5

7

x

÷

5

7

=

40.5

i

pounds

÷

5

7

4

. Recall that in order to divide a fraction by another fraction, take the reciprocal of the divisor and change the division sign to a multiplication sign.

5

7

x

⋅

7

5

=

40.5

i

pounds

⋅

7

5

5

. Solve for

x

.

5

⋅

7

7

⋅

5

x

=

40.5

⋅

7

5

i

pounds

x

=

∣

∣

∣

∣

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

a

a

56.7

i

pounds

a

a

∣

∣

−−−−−−−−−−−−−−−

Find the least common multiple.

List the multiples of each:

9, 18, 27, 36, 45, 54, 63, 72

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72

8, 16, 24, 32, 40, 48, 56, 64, 72

The least common multiple is 72

The number of packs of each would be:

Bread rolls: 72/9 = 8

Cheese = 72/6 = 12

Ham = 72/8 = 9

Answer:   acute

Step-by-step explanation: its not right cuz there a 90 degree angle and it isnt obtuse

Quadrilaterals with same length and breadth or height have same areas.

Step-by-step explanation:

You can prove this by drawing two quadrilaterals individually and then by calculating there areas.

Answer:

0.0238  g

Step-by-step explanation:

Given that:

the certain mineral = potassium and a medium artichoke contain about 0.17 g of it.

Suppose a medium artichoke contains about 14% of the recommended amount of a certain mineral.

On Average, the amount an adult should have each day = 0.17 g × (14/100)

= 0.0238  g

Answer:

On what

Step-by-step explanation:

Answer:

46.6

Step-by-step explanation:

[tex]48^{2} - 20^{2} = 1904\\\sqrt{1904} = 43.6\\43.6 + 3 = 46.6[/tex]

Answer:

It would not be a positive 5 but a -5 as your answer.

Step-by-step explanation:

45-5=40 and so forth

Answer:

4,400

Step-by-step explanation:

Hope this helps!

Step-by-step explanation:

x cannot be factored out of these two monomials because x is not present in both of them.

The largest degree of x that can be factored out of all terms 9x and 45​ is 0

If we have [tex]a^b[/tex] then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c\\\\a^b = a^b \implies b= c \: \text{ (if a, b and c are real numbers and } a \neq 1 \: and \: a \neq -1 )[/tex]

Suppose there is a constant 'c'.

We can write it as:

[tex]c = c \times 1 = c \times x^0[/tex]

where 'x' is the variable in consideration. Here even when x = 0, we would assume that for all real numbers 'x', its power raised to 0 makes it evaluate to 1.

For this case, we can rewrite both the terms as:

Thus, the maximum of x that can come out common out of these two terms is [tex]x^0[/tex] (its degree, or power, or exponent is 0)

Thus, the largest degree of x that can be factored out of all terms 9x and 45​ is 0

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Answer:

2 2/3

Step-by-step explanation:

Answer:

-7 1/3

Step-by-step explanation:

I already learned how to do that

Answer:

6 (I believe so)

Step-by-step explanation:

9n-24=4n+6

9n=4n+30

5n=30

n=6

Answer:

n=6

Step-by-step explanation:

9n - 24 = 4n + 6

-4n          -4n

5n - 24 = 6

     +24    +24

5n = 30

divide both sides by 5

n = 6

hope this helps!!!