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3 years ago

How do you simplify this and write as a polynomial in standar form? (x-9)3x-7)+(3x^2-5x+2)

Mathematics

1 answer:

nasty-shy [4]3 years ago

6 0

Answer:

Standard form of $(x-9)(3x-7) + (3x^{2} - 5x+2)$ $=6x^{2} - 39x + 65$

Step-by-step explanation:

Here, the given expression is $(x-9)(3x-7) + (3x^{2} - 5x+2)$

Now, simplifying the above expression in parts, we get

$(x-9)(3x-7) = 3x^{2} - 7x -27x + 63 = 3x^{2} - 34x + 63$

hence, combining both parts:

$(x-9)(3x-7) + (3x^{2} - 5x+2)$ $=(3x^{2} -34x +63) + (3x^{2} - 5x+2)$

= $6x^{2} - 39x + 65$

The above expression is of the STANDARD FORM: $ax^{2} +bx + c$

Hence, the standard form of $(x-9)(3x-7) + (3x^{2} - 5x+2)$ $=6x^{2} - 39x + 65$

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Suppose that the data in a scatterplot are randomly located so that there is no relationship between x and y. Which of the follo

Sever21 [200]

I think you forgot to give the options along with this question. Based on my research and knowledge, i am answering the question and hope that the answer comes to your help. Zero correlation is the one that actually describes this situation correctly as "x" and "y" do not have any kind of relationship. I hope the answer comes to your help.

7 0

3 years ago

A group of scientists are studying a new species of insects. They observe the patterns of 6 insects. The scientists find that th

Stels [109]

Answer:

(B) $477=6(1+0.20)^t$

Step-by-step explanation:

we can use formula

$P(t)=P_0(1+r)^t$

where

Po is the initial population

r is the growth rate

t is the time in months

We are given

initial population of insects

so, Po=6

The scientists find that the insect population, x, is growing exponentially 20% per month

so, r=0.20

now, we can plug these values

$P(t)=6(1+0.20)^t$

there to be a population of 477 insects

so, P(t)=477

now, we plug it

and we get

$477=6(1+0.20)^t$

4 0

3 years ago

QUICK!! 18x^2+21x-60=0 pls give me the steps as well

Anton [14]

Answer:

$x2 = \frac{4}{3}$

Step-by-step explanation:

$18 {x}^{2} + 21x - 60 = 0$

Divide both sides of the equation by 3

$6 {x}^{2} + 7x - 20 = 0$

Write 7x as a difference

$6 {x}^{2} + 15x - 8x - 20 = 0$

Factor out 3x from the expression

$3x(2x + 5) - 8x - 20 = 0$

Factor out -4 from the expression

$3x(2x + 5) - 4(2x + 5) = 0$

Factor out 2x + 5 from the expression

$(2x + 5)(3x - 4) = 0$

When the product of factors equals 0 , at least one factor is 0

$2x + 5 = 0$

$3x - 4 = 0$

Solve the equation for X

$2x + 5 = 0$

Move constant to R.H.S and change its sign

$2x = 0 - 5$

Calculate the difference

$2x = - 5$

Divide both sides of the equation by 2

$\frac{2x}{2} = \frac{ - 5}{2}$

Calculate

$x 1= - \frac{5}{2}$

Again,

$3x - 4 = 0$

Move constant to RHS and change its sign

$3x = 0 + 4$

Calculate the sum

$3x = 4$

divide both sides of the equation by 3

$\frac{3x}{3} = \frac{4}{3}$

Calculate

$x 2= \frac{4}{3}$

Hope this helps..

Best regards!!

5 0

3 years ago

Read 2 more answers

Vocabulary Terms

VashaNatasha [74]

Answer:

The correct relation between Vocabulary terms and definitions is as follow:

a. treatment → a. experimental conditions imposed on the subjects

b. observational study → a study in which data is collected without anything being done to the subjects.

c. retrospective study → d. a study in which data from the past is examine

d. experimental units → c. The people, animals or things on whom experiments are performed

e. experiment → e. a study in which a treatment is applied and responses are observed

5 0

3 years ago

Choose which function is represented by the graph A. f(x) = (x - 1)(x + 2)(x+5)(x+10)

Trava [24]

Answer:

Option B

Step-by-step explanation:

From the graph attached,

x-intercepts of the graph are x = -1, 2 and 5

y-intercept of the graph is y = 10

Since, x intercepts of a graph define the zeros of the function (y = 0)

Therefore, (x + 1), (x - 2) and (x - 5) are the zero factors of the given graphs.

And the equation of the function will be,

f(x) = a(x + 1)(x - 2)(x - 5)

Since, -intercept of the function is y = 10

Therefore, for x = 0,

y = a(0 + 1)(0 - 2)(0 - 5) = 10

a(10) = 10

a = 1

So the function representing the graph is,

f(x) = (x - 1)(x + 2)(x - 5)

Option B will be the answer.

3 0

3 years ago

How do you simplify this and write as a polynomial in standar form? (x-9)3x-7)+(3x^2-5x+2)​

How do you simplify this and write as a polynomial in standar form? (x-9)3x-7)+(3x^2-5x+2)