All categories

3 years ago

3a² + 11a – 42this is factoring in algebra 2 (high school)

Mathematics

1 answer:

N76 [4]3 years ago

3 0

To factor,

1) First multiply coefficient of a² and constant no,

That is,

3×(-42)=-126

Since the<u> resultant no is negative</u>, you should find two such factors of 126 <u>which</u> <u>will give us the coefficient of a (=11)</u> on subracting those factors.

2) Find the factor

126=2×3×3×7

=18×7

18 and 17 are factors of 126

Also,18-7 =11.

So they are required factors for factoring,

Once you have understood above steps you can solve on your own. All you need to do is split 11 into factors ,take common terms and you will get answer.

<u>Answer:</u>

3a²+11a-42

=3a²+(18-7)a -42

=3a²+18a-7a-42

=3a(a+6) -7(a+6)

=(a+6)(3a-7)

You might be interested in

I will give brainliest to whoever helps me with this question. Also, if you could please explain to me how you solved it I would

frozen [14]

Answer:

96π

Step-by-step explanation:

You will need the formula for the volume of a cone.

$V=\frac{1}{3}$ π $r^{2}$ h

r= 6 cm

To find the height, you need to use the Pythagorean theorem.

a²+ b² = c² (a and b are the 2 legs and c is the hypotenuse)

b = $\sqrt{{c^{2}-a^{2} }$

b= $\sqrt{10^{2}-6^{2} }$ = 8

h= 8 cm

remember PEMDAS!

$V=\frac{1}{3}$ π $(6)^{2}$ 8

$V=\frac{1}{3}$ π(36)8

$V=$ π(12)8

V= 96π

Answering in terms of π is more accurate because it is actually infinite so when it gets rounded to 3.14, that is only an approximation of pi. (π is actually 3.1415926535897932384626433 etc.)

4 0

3 years ago

Find the measure of the exterior 21.<br> A. 15°<br> B. 100<br> C. 35<br> D. 145

FromTheMoon [43]

Answer:

The answer will be D. 145

Step-by-step explanation:

Because I said so

3 0

3 years ago

What is the equation of a line passing through (-3,7) and having a slip of -1/5

MrRa [10]

Answer:

$\large\boxed{D.\ y=-\dfrac{1}{5}x+\dfrac{32}{5}}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

We have the slope m = -1/5. Substitute:

$y=-\dfrac{1}{5}x+b$

Put the coordinates of the given point (-3, 7) to the equation:

$7=-\dfrac{1}{5}(-3)+b$

$7=\dfrac{3}{5}+b$ <em>subtract 3/5 from both sides</em>

$6\dfrac{2}{5}=b\to b=\dfrac{6\cdot5+2}{5}=\dfrac{32}{5}$

3 0

3 years ago

Determine if each table shown below represents a function or not ?

yarga [219]

Neither of them are functions. Functions cannot have two of the same numbers in the x value, and since the first table has two 5s in the x column and the second table has two 7s, neither of them can be functions.

Hope this helps :)

5 0

3 years ago

Read 2 more answers

Given the functions f(x)=2x^2-3x-8 and g(x)=3x2+5x+1

kykrilka [37]

Answer:

Step-by-step explanation:

the product (2x² - 3x - 8)(3x² + 5x + 1) is required

multiply each term in the second factor by each term in the first factor.

= 2x²(3x² + 5x + 1) - 3x(3x² + 5x + 1) - 8(3x² + 5x + 1) ← distribute

= 6 $x^{4}$ + 10x³ + 2x² - 9x³ - 15x² - 3x - 24x² - 40x - 8

collecting like terms gives

6 $x^{4}$ + x³ - 37x² - 43x - 8 → B

8 0

3 years ago

3a² + 11a – 42this is factoring in algebra 2 (high school) ​

3a² + 11a – 42this is factoring in algebra 2 (high school)