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pav-90 [236]
2 years ago
6

Jimmy successfully factors a quadratic $4x^2 + bx + c$ as \[4x^2 + bx + c = (Ax + B)(Cx + D),\]where $A,$ $B,$ $C,$ and $D$ are

integers. What are all the possible values of $A$?
Mathematics
1 answer:
saul85 [17]2 years ago
3 0

Answer:

±1, ±2, and ±4

Step-by-step explanation:

4x² + bx + c = (Ax + B) (Cx + D)

Distribute:

4x² + bx + c = ACx² + (AD + BC) x + BD

Matching the coefficients, AC = 4.  So A must be a factor of 4.  Possible values of A are therefore ±1, ±2, and ±4.

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Help!!! Please will give points
galben [10]

Option D:

The solution to the equation is y = 27.

Solution:

Given equation:

$\frac{1}{3} y=9

To solve this equation:

$\frac{1}{3} y=9

Multiply by 3 on both sides of the equation.

$3 \times \frac{1}{3} y=9 \times 3

3 in the numerator and denominator get canceled.

y = 9 × 3

y = 27

The solution to the equation is y = 27.

Option D is the correct answer.

3 0
3 years ago
If $500 yields $43.49 in simple interest over 7 years, what is the annual rate?
Annette [7]

Answer:

1.24 %

Step-by-step explanation:

500 * x  * 7  = 43.49

x = 43.49/(7*500) = .0124     1.24 %

8 0
2 years ago
❗️❗️❗️Find the length of side x in simplest radical form with a rational denominator.❗️❗️❗️
tiny-mole [99]

Answer:

x=\frac{\sqrt{14} }{2}

Step-by-step explanation:

Notice that you are given an isosceles right-angle triangle to solve, since each of its two acute angles measures 45^o. Then such means that the sides opposite to these acute angles (the so called "legs" of this right angle triangle) must also be of the same length (x).

We can then use the Pythagorean theorem that relates the square of the hypotenuse to the addition of the squares of the triangles legs:

(\sqrt{7})^2=x^2+x^2\\7=2\,x^2\\x^2=\frac{7}{2} \\x=+/-\sqrt{\frac{7}{2}} \\x=+/-\frac{\sqrt{14} }{2}

We use just the positive root, since we are looking for an actual length. then, the requested side is:

x=\frac{\sqrt{14} }{2}

6 0
2 years ago
Pls help will give brainliest and 5star plssssss
ludmilkaskok [199]

2)

P(4,-4) -->(-4, 7)

4 - 8 = -4           -------->left 8

-4 + 11 = 7         -------->up 11

Answer: left 8;  up 11

3)

C(3,-1) , left 4 up 1

3 - 4 = -1    -------->left 4

-1 + 1 = 0   -------->up 1

a)

(x , y) -->(x - 4 , y +1)

C(3, -1) -->C'(-1 , 0)

b)

(x , y) --> (x - 4, y + 1); (-1 , 0)

7 0
2 years ago
PLEASE HELP!!!!
stira [4]
"The total number of stamps is 35" is the statement among the following choices given in the question that is correct. The correct option among all the options that are given in the question is the third option or the penultimate option. I hope that this is the answer that has actually come to your great help.
7 0
3 years ago
Read 2 more answers
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