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2 years ago

(5 + 7) x 5³ pleaseeeeeeeeee help

Mathematics

1 answer:

nekit [7.7K]2 years ago

6 0

Answer:

1500

Step-by-step explanation:

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The polynomial of degree 3, P(x), has a root of. multiplicity 2 at x=1 and a roof of multiplicity 1 at x= -3. the y- intercept i

Stella [2.4K]

$P(x)$ has degree 3, so it takes the general form

$P(x)=ax^3+bx^2+cx+d$

It has a root $x=1$ of multiplicity 2, which means $(x-1)^2$ divides $P(x)$ exactly, and it has a root of $x=-3$ of multiplicity 1 so that $x+3$ also is a factor. So

$P(x)=a(x-1)^2(x+3)$

Expanding this gives

$P(x)=a(x^3+x^2-5x+3)=ax^3+ax^2-5ax+3a$

$\implies\begin{cases}a=b\\-5a=c\\3a=d\end{cases}$

The $y$ -intercept occurs for $x=0$ , for which we have

$P(0)=d=2.1$

Then

$3a=d\implies a=0.7$

$a=b\implies b=0.7$

$-5a=c\implies c=-0.14$

So we have

$\boxed{P(x)=0.7x^3+0.7x^2-0.14x+2.1}$

6 0

2 years ago

Read 2 more answers

PLSSSS HELLLPPP WILL GIVE BRAINLIESTTT!!!!!!!!!

Lerok [7]

Answer: -3/2

Step-by-step explanation:

There are two methods to find the slope

METHOD 1. Rise/Run

Rise: the y-axis value

Run: the x-axis value

In the graph, rise/run=3/2

The line is going down, so it should be negative

-3/2

Hope this helps!! :)

Please let me know if you have any question or need further explanation

5 0

3 years ago

Factorizing as the Difference of Two Squares<br>1. 144x2 - 49

igor_vitrenko [27]

Answer:

Factorizing as the Difference of Two Squares

1. 144x2 - 49

Step-by-step explanation:

Where is the picture?

7 0

2 years ago

$14.95 dinner; 15% tip

Marysya12 [62]

$\frac{15}{100} \times 14.95 = \frac{3}{20} \times 14.95 \\ = 1.54$
hey hope this helps

8 0

2 years ago

Two shops sell the same phone. In both shops it is £196. One shop increases the price by 17.5%. The other shop increases the pri

Diano4ka-milaya [45]

Step-by-step explanation:

the 1st shop=196-(17.5/100×196)

=196-34.3

=161.7+196

=357.7

the 2nd shop=196-(22.5/100×196)

=196-44.1

=151.9+196

=347.9

so the difference between two shop is

357.7-347.9=9.8

3 0

2 years ago