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Fudgin [204]
3 years ago
9

Jimmy is trying to factor the quadratic equation $ax^2 + bx + c = 0.$ He assumes that it will factor in the form \[ax^2 + bx + c

= (Ax + B)(Cx + D),\]where $A,$ $B,$ $C,$ and $D$ are integers. If $a = 4,$ and Jimmy wants to find the value of $A,$ what are the possible values he should check, in order to find $A$?
Mathematics
2 answers:
Bess [88]3 years ago
8 0

Answer:

possible value of A are 1, 2, 4

Step-by-step explanation:

Jimmy is trying to factor the quadratic equation ax^2 + bx + c = 0.

He assumes that it will factor in the form ax^2 + bx + c = (Ax + B)(C x + D)

Given a=4

We need to find the value of A

When we do factoring we use the factors of the numbers

(Ax+B)(Cx+D) is ACx^2 + ADx + BCx + BD

ax^2 + bx + c =ACx^2 + ADx + BCx + BD

When a=4  then AC is also 4

A* C = 4

1 * 4= 4

2 * 2= 4

4 * 1 = 4

So possible value of A are 1, 2, 4

Shkiper50 [21]3 years ago
6 0

If

ax^2+bx+c=(Ax+B)(Cx+D)

then

ax^2+bx+c=ACx^2+(AD+BC)x+BD

\implies a=AC

If a is known and Jimmy wants to find A, then he has to know the value of C.

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A curve in polar coordinates is given by: r=9+3cosθ. Point P is at θ=21π/18 .?
ikadub [295]

Answer:

Step-by-step explanation:

Given that a curve in polar coordinates is given by:

r=9+3cosθ

a) At point P, we have

θ=\frac{21\pi}{18}

Substitute to get

r=9+cos \frac{21\pi}{18}\\=9.3932

b) Cartesian coordinate is

x= rcos \theta=3.6934\\y =r sin \tjeta =8.6365

c) At the origin r =0

when r =0

we have

9+3cos\theta=0\\cos\theta =-3

Since cos cannot take values as -3 it doe snot pass through origin.

6 0
3 years ago
What is m angle M? ​
melisa1 [442]

Answer:

angle M = 98

Step-by-step explanation:

since they all equal 180

do 3x-16+x+6+x = 180 now add 10 two both sides and get

3x+x+x = 190

5x = 190

x = 38  

now plug that in to 3x-16 to get 98

7 0
3 years ago
Read 2 more answers
mrs. Williams uses the following recipe for crispy rice treats. She decided to make 2/3 of the recipe. 2 cups of melted butter,
Ilya [14]
To find how much she needs of every ingredient, multiply every ingredient by 2/3.

Butter: 2•2/3=4/3=1&1/3 cups
Marshmallows: 24•2/3=16 oz
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3 0
3 years ago
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Solve the equation for x. x + 3 /6 = x - 6/ 3 A) 9 B) 12 C) 15 D) 18
Strike441 [17]

Answer:

a

Step-by-step explanation:

7 0
4 years ago
IS THIS CORRECT?! I HAVE A BACK SIDE TOO, IF ANYTHING IS WRONG PLS PLS LMK!!
Fudgin [204]

The only error you made is on problem 3. Everything else is correct. Nice work.

-------------------------------------------------------

Here is how to solve problem 3

Plug x = 1 into the equation and solve for y

-3x + y = 1

-3*1 + y = 1 ... replace x with 1

-3 + y = 1

y - 3 = 1

y - 3 + 3 = 1 + 3 .... add 3 to both sides

y = 4

<h3>The answer is 4</h3>

-------------------------------------------------------

Verifying the answer:

Plug (x,y) = (1,4) into the equation. Both sides should be the same number after simplifying both sides.

-3x + y = 1

-3*1 + 4 = 1 ..... replace x with 1; replace y with 4

-3 + 4 = 1

1 = 1

The answer is confirmed.

If you were to graph -3x + y = 1, which is equivalent to y = 3x+1, you'll find that the point (1,4) is on this line.

4 0
3 years ago
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