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3 years ago

F(x)=(x+4)(x-2)(x+4)(x+4) What is the multiple zero? Multiplicity is?

1 answer:

8 0

$f(x)=(x+4)(x-2)(x+4)(x+4)\\f(x)=(x+4)^3(x-2)=0\\(x+4)^3=0~|~(x-2)=0\\(x+4)(x+4)(x+4)=0~|~x=2\\x=-4,2$

The multiple zero is x = -4.

The multiplicity is 2 because there are two values of x.

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Help middle school question!!!

Sav [38]

Answer:

The shaded region has an area of 1400 square units

Step-by-step explanation:

Area of Compound Shapes

We are given a shape and it's required to calculate its area. The shape can be divided into three rectangles as shown in the figure attached below.

The lengths of these rectangles are x, y, and z.

The value of x can be calculated as:

x = 60 - 15 - 10 = 35

Similarly:

y = 60 - 15 = 45

z = y = 45

The first rectangle has dimensions of x by 10, thus its area is:

A1 = 35*10 = 350

The second rectangle has dimensions of 60 by 10:

A2 = 60*10 = 600

The third rectangle has dimensions y by 10:

A3 = 55*10 = 450

The shaded area is:

A = 350 + 600 + 450 = 1400

The shaded region has an area of 1400 square units

8 0

3 years ago

Read 2 more answers

A savings accouny has 50 dollars in it at the start of the year and 20 dollars is deposited each week. After x weeks, there are

Diano4ka-milaya [45]

I’m assuming you need to write an equation to display the relationship.
y=20x+50

3 0

3 years ago

Joe is building a post for his mailbox. To find the correct dimensions, he needs to expand this expression: (x-3) (x-9) (x-4) Se

kolbaska11 [484]

Answer:

$(x-3)(x-9)(x-4)=x^3-16x^2+75x-108$

Step-by-step explanation:

Given:

The expression to expand is given as:

$(x-3)(x-9)(x-4)$

Let us expand the first two binomials of the given expression using FOIL method.

The FOIL method states that:

$(a + b)(c + d) = ac + ad + bc + bd$

$(x-3)(x-9)=(x\times x)+(x\times -9)+(-3\times x)+(-3\times -9)\\\\(x-3)(x-9)=x^2-9x-3x+27=x^2-12x+27$

Now, let us multiply the result with the remaining binomial. Multiplying each term of the trinomial with each term of the binomial, we get:

$(x^2-12x+27)(x-4)\\\\= (x^2\times x)+ (x^2\times -4)+(-12x\times x)+(-12x\times -4)+(27\times x)+(27\times -4)\\\\=x^3-4x^2-12x^2+48x+27x-108\\\\=x^3-16x^2+75x-108...........(\because-12x^2-4x^2=-16x^2,48x+27x=75x)$

Therefore, the equivalent expression after expanding is given as:

$(x-3)(x-9)(x-4)=x^3-16x^2+75x-108$

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3 years ago

The profit from ‘pizza quick’ was £536,521. What is the place value of the 6?

antoniya [11.8K]

£536,521.
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the thousands place

4 0

3 years ago

A store has clearance items that have been marked down by 30%. They are having a sale, advertising an additional 60% off clearan

Schach [20]

Answer:

28%

Step-by-step explanation:

We get 30% off the original price

The new price is (100-30) = 70$ of the original price

Let x = the original price

The new price is .7x

Now get get an additional 60% off. We pay (100-60) = 40 percent of the price

Take .7x * .4

The new price is .7*.4 x

.28x

This is 28 percent of the original price x

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3 years ago