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pav-90 [236]
3 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]3 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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What is the slope of the line in the graph?
Goshia [24]

Answer:

My answer would be y=2x+1

Step-by-step explanation:

7 0
2 years ago
Two subtracted from b is greater than -18
Ber [7]
(b-2)>-18
OR
-18+(b-2)
8 0
3 years ago
A class is made up of 8 boys and 4 girls. Half of the girls wear glasses. A student is selected at random from the class. What i
Ierofanga [76]

Answer:

1/6

Step-by-step explanation:

The total amount of people 8+4=12

there are 4/2=2 girls with glasses

the probability to chhose a girl with glasses is 2/12=1/6

3 0
2 years ago
cylindrical vase holds 8,038.4 cubic centimeters of water. The height of the vase is 40 centimeters. What is the length of the r
iragen [17]

The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.

Step-by-step explanation:

The given is,

                 Volume of cylindrical vase = 8038.4 cubic centimeters

                 Height of the cylindrical vase = 40 centimeters

Step:1

                Formula for volume of cylindrical vase,

                                     Volume, V=\pi r^{2} h......................(1)

               Where, r - Radius of cylindrical vase

                           h - Height of cylindrical vase  

                From the given,

                                      V = 8038.4 cubic centimeters

                                      h = 40  centimeters  

                Equation (1) becomes,

                             8038.4 = \pi r^{2}  40

                                          =(3.14)(40)r^{2}                               (∵ \pi = 3.14 )

                               8038.4 = 125.6 r^{2}

                                      r^{2} = \frac{8038.4}{125.6}            

                                       r =\sqrt{64}

                                       r = 8 centimeters

Result:

           The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.

7 0
3 years ago
What is the autput the following machine when the intut is 4
ch4aika [34]

Input is 4.

Process machine:

Input > - 7 > ÷ 3 > Output

Solve:

(Input) 4 - 7 = <u>-3</u>

          <u>-3</u> ÷ 3 = <u>-1 </u>(Output)

Input = 4

Output = -1

3 0
3 years ago
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