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sasho [114]
3 years ago
11

Quadratic factorisation Question, help please.

Mathematics
1 answer:
luda_lava [24]3 years ago
6 0
3x^2 + 5x + 2 

a = 3 , b = 5 , c = 2 

Start by mulitplying a*c = 3 * 2 = 6

Now find two number that multiply to 6 and add up to b or 5 

We could use 2 and 3 because ....

   
3 + 2 = 5 
   3 * 2 = 6

Now you rewrite....

3x^2 + 3x + 2x + 2 

Now pull out common factors...

3x ( x + 1 )  + 2 ( x + 1)

The factors of this expression is ( 3x + 2 ) ( x + 1) 
You might be interested in
-15= z/-2 answer please?​
faust18 [17]

Answer:

30

Step-by-step explanation:

-15=\frac{z}{-2}\\\\(-15)(-2)=z\\\\30=z

4 0
3 years ago
Student Produced Response - Calculator
faltersainse [42]

Answer:

\dfrac{a}{b}=0.75.

Step-by-step explanation:

If two equations a_1x+b_1y+c_1=0 and a_2x+b_2y+c_2=0 has infinitely many solutions, then

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}

The given equations are

ax+by=10

3x+4y=20

It is given that the above system of equations has infinitely many solutions. So,

\dfrac{a}{3}=\dfrac{b}{4}=\dfrac{10}{20}

\dfrac{a}{3}=\dfrac{b}{4}=\dfrac{1}{2}

Now,

\dfrac{a}{3}=\dfrac{1}{2} and \dfrac{b}{4}=\dfrac{1}{2}

a=\dfrac{3}{2} and b=\dfrac{4}{2}

a=1.5 and b=2

So, a=1.5 and b=2.

Now,

\dfrac{a}{b}=\dfrac{1.5}{2}=0.75

Therefore, \dfrac{a}{b}=0.75.

5 0
4 years ago
A parallelogram has an area of 60 square inches. If the base of the parallelogram is 12 inches, what is the height of the parall
Vikentia [17]
How to find the area of a parallelogram is length times height. 12 times what gets you to 60? 5 does. 12 times 5 is 60.

HEIGHT: 5



8 0
3 years ago
Determine and state the coordinates of the center and the length of the radius of the
zmey [24]

we can see that the center is (-3, 3) and the radius is 9 units.

<h3 /><h3>How to find the center and radius of the circle?</h3>

The general circle equation, for a circle with a center (a, b) and radius R is given by:

(x - a)^2 + (y - b)^2 = R^2

Here we have the equation:

x^2 + y^2 + 6x = 6y + 63

Let's complete squares:

x^2 + y^2 + 6x - 6y =  63

(x^2 + 6x) + (y^2 - 6y) = 63

(x^2 + 2*3x) + (y^2 - 2*3y) = 63

Now we can add and subtract 9, (two times) so we get:

(x^2 + 2*3x + 9) - 9 + (x^2 - 2*3x + 9) - 9 = 63

(x + 3)^2 + (y - 3)^2 = 63 + 9 + 9 = 81 = 9^2

(x + 3)^2 + (y - 3)^2 = 9^2

Comparing with the general circle equation, we can see that the center is (-3, 3) and the radius is 9 units.

If you want to learn more about circles:

brainly.com/question/1559324

#SPJ1

7 0
2 years ago
The camera cost $540 if the sales tax is 7.2% what is the tax change and the total cost?
suter [353]

Answer:

$75 ?

Step-by-step explanation:

If this is wrong super sorry :)

7 0
2 years ago
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