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3 years ago

18x^2+21x-9 I need to figure out how to work this problem

2 answers:

3 0

$18x^2+21x-9=3(6x^2)+3(7x)-3(3)\\\\=3(6x^2+7x-3)=3(6x^2+9x-2x-3)\\\\=3[3x(2x)+3x(3)-1(2x)-1(3)]\\\\=3[3x(2x+3)-1(2x+3)]\\\\=\boxed{3(2x+3)(3x-1)}$

Goshia [24]3 years ago

3 0

18x^2 + 21x - 9. Factor out a 3.

3(6x^2 + 7x - 3). Factor the trinomial. 

3(3x - 1)(2x + 3). Answer

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Please help me with this asiment please I’ll do anything!!!!

ozzi

Answer: Line 2

Step-by-step explanation:

Look at the dots on the coordinate grid. The line of fit is a line around those dots, so in this case, the majority of the dots around line 2.

6 0

2 years ago

Choose the graphic representation of the quadratic function f(x) = x2 – 8x + 24.

larisa86 [58]

Refer the attached figure for the graphic representation of the given quadratic equation.

Step-by-step explanation:

Given expression:

$f(x)=x^{2}-8 x+24$

To find:

The graphic representation of the given quadratic function

For solution, plot the graph to the given quadratic equation.

The standard form of the equation is

$y=a x^{2}+b x+c$

When comparing with given quadratic equation,

a = 1, b = - 8, c = 24

Axis of symmetry is $x=\frac{-b}{2 a}$

By applying the values, the axis of symmetry of given equation is

$x=\frac{-(-8)}{2(1)}=4$

The vertex form of quadratic equation is $f(x)=a(x-h)^{2}+k$

Where, (h,k) are the vertex.

Convert the quadratic equation into vertex form.

By completing the square,

$f(x)=x^{2}-8 x+24$

$f(x)=\left(x^{2}-2(4) x+4^{2}\right)-4^{2}+24$

$f(x)=(x-4)^{2}+8$

On comparison,

(h , k) = (4 , 8)

Now, plot the equation with vertex (4,8) [refer attached figure].

4 0

3 years ago

Which of the following techniques can be used to separate a homogeneous mixture into its component parts?

Airida [17]

The answer is A. This is because heat, pressure, or differences in density are some methods used to separate homogeneous mixtures.

4 0

3 years ago

Read 2 more answers

Dagmar is a widget assembler. He is paid $3.27 for every widget he assembles. What is Dagmar's total pay for a week in which he

s2008m [1.1K]

Answer:

Dagmar gets paid a total of $683.43 for completing 209 widgets that week.

Step-by-step explanation:

$3.27*209 widgets = $683.43

3 0

2 years ago

Paige mows 1/6 acres in 1/4. How many acres does Paige mow per he

Alexandra [31]

As Paige mows 1/6 acres in 1/4 hours. To find how much she is able to mow in an hour, you will have to multiply this by 4. You only need to multiply the numerator in the fraction, as otherwise, you will just get the same answer that you already have, but in a different version. Therefore 1/6 multiplied by 4 is 4/6, which can also be simplified to 2/3.
Therefore, Paige is able to mow 2/3 acres in one hour.
Hope this helps :)

4 0

3 years ago