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3 years ago

Question 3 Perform the indicated operations and express as a trinomial: (x + 4)(x - 2) + 3x

Mathematics

1 answer:

Sati [7]3 years ago

5 0

The expression after performing the indicated operation written as trinomial is:

$x^2+5x-8$

Step-by-step explanation:

Given

(x + 4)(x - 2) + 3x

We have to multiply (x + 4)(x - 2) and then add 3x to it

So,

$(x + 4)(x - 2) + 3x\\=[x(x-2)+4(x-2)]+3x\\= (x^2-2x+4x-8)+3x\\=x^2+2x-8+3x$

Combining alike terms

$=x^2+2x+3x-8\\=x^2+5x-8$

The expression after performing the indicated operation written as trinomial is:

$x^2+5x-8$

Keywords: Polynomials, Expressions

Learn more about polynomials at:

#LearnwithBrainly

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kati45 [8]

3(x - 25) < $100. We're not req'd to solve this.

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3 years ago

A student is given that point P(a, b) lies on the terminal ray of angle Theta, which is between StartFraction 3 pi Over 2 EndFra

Harman [31]

Answer:

A.

The student made an error in step 3 because a is positive in Quadrant IV; therefore,

$cos\theta = \frac{a\sqrt{a^2 + b^2}}{a^2 + b^2}$

Step-by-step explanation:

Given

$P\ (a,b)$

$r = \± \sqrt{(a)^2 + (b)^2}$

$cos\theta = \frac{-a}{\sqrt{a^2 + b^2}} = -\frac{\sqrt{a^2 + b^2}}{a^2 + b^2}$

Required

Where and which error did the student make

Given that the angle is in the 4th quadrant;

The value of r is positive, a is positive but b is negative;

Hence;

$r = \sqrt{(a)^2 + (b)^2}$

Since a belongs to the x axis and b belongs to the y axis;

$cos\theta$ is calculated as thus

$cos\theta = \frac{a}{r}$

Substitute $r = \sqrt{(a)^2 + (b)^2}$

$cos\theta = \frac{a}{\sqrt{(a)^2 + (b)^2}}$

$cos\theta = \frac{a}{\sqrt{a^2 + b^2}}$

Rationalize the denominator

$cos\theta = \frac{a}{\sqrt{a^2 + b^2}} * \frac{\sqrt{a^2 + b^2}}{\sqrt{a^2 + b^2}}$

$cos\theta = \frac{a\sqrt{a^2 + b^2}}{a^2 + b^2}$

So, from the list of given options;

The student's mistake is that a is positive in quadrant iv and his error is in step 3

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3 years ago

Change the following into mixed fraction 13/5

Oduvanchick [21]

Answer:

2 3/5

Step-by-step explanation:

13/5

5 goes into 13 2 time

2*5 =10

13-10 =3

There is 3 left over. This goes over the denominator

2 3/5

7 0

3 years ago

Read 2 more answers

Write an equation in slope intercept form that passes through the point (3,9) and has a slope of -5

Anna35 [415]

Answer:

y= -5x +24

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is -5, m= -5.

Substitute m= -5 into the equation:

y= -5x +c

To find the value of c, substitute a pair of coordinates that the line passes through into the equation:

When x= 3, y= 9,

9= -5(3) +c

9= -15 +c

c= 9 +15

c= 24

Thus, the equation of the line is y= -5x +24.

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2 years ago

Find the sum of all 3 digit whole numbers that arw divisible by 13 ?

GuDViN [60]

We have an arithmetic sequence with

a0 = 1st 3-digit number divisible by 13 
a0 = 104 
d = 13 (why?) 
last term is largest divisible by 13 = 988 
how many terms? (988-104)/13 + 1 = 69 

S = 69/2(104+988) = 37674

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3 years ago