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tester [92]
3 years ago
9

If a quadratic function can be factored as (ax + b) (cx + d) = 0. What information do these factors provide about the graph of t

he equation?​
Mathematics
1 answer:
Vikentia [17]3 years ago
6 0

Answer:

The graph of the equation has roots at x= -b/a and x= -d/c

Step-by-step explanation:

You might be interested in
Please help!! Show work please!!
Nonamiya [84]

1. 3x - 2y = 8 Subtract 3x on both sides

-2y = 8 - 3x Divide by -2 on both sides to get y by itself

y = -4 + 3/2x


2. a + b / 3 = 5 Multiply 3 on both sides

a + b = 15 Subtract a on both sides to get b by itself

b = 15 - a


3. 12x - 4y = 20 Subtract -12x on both sides

-4y = 20 - 12x Divide -4 on both sides to get y by itself

y = -5 + 3x


4. y + 3 = -5(x - 2) Multiply -5 to (x-2)

y + 3 = -5x + 10 Subtract 3 on both sides to get y by itself

y = -5x + 7

7 0
3 years ago
Read 2 more answers
BLUEPRINTS Abby’s family is building a new house. On the blueprints of the house, Abby’s bedroom measures
mariarad [96]

Answer:

A scale drawing or floor plan is a representation of an actual object or space drawn in two-dimensions. For a floor plan, you can imagine that you are directly above the building looking down. The lines represent the walls of the building, and the space in between the lines represents the floor.

In order to find the actual dimensions from a floor plan, you can set up and solve a proportion. The scale given in the drawing is the first ratio. The unknown length and the scale length is the second ratio.

Let’s look at an example.

The floor plan below shows several classrooms at Craig’s school. The length of Classroom 2 in the floor plan is 2 inches. What is the actual length, in feet, of Classroom 2?

First, set up a proportion. The scale in the drawing says that

12′′=3′

, therefore the proportion is:

0.5 inches3 feet

Next, write the second ratio. You know the scale length is 2 inches. The unknown length is

x

. Make sure that the second ratio follows the form of the first ratio: inches over feet.

0.5 inches3 feet=2 inchesx feetThen, cross-multiply.

0.530.5x0.5x===2x2×36Then, divide both sides by 0.5 to solve for

x

.

0.5x0.5x0.5x===660.512The answer is 12.

The actual length of the classroom is 12 feet.

8 0
3 years ago
Temperature transducers of a certain type are shipped in batches of 50. A sample of 58 batches was selected, and the number of t
andrew11 [14]

Answer:

a) X        Freq.         Rel Freq.

__________________________

0           7              (7/58) = 0.121

1            10            (10/58)=0.172

2           13            (13/58) =0.224

3           14            (14/58)=0.241

4           6              (6/58)=0.103

5           3              (3/58)=0.052

6           3              (3/58)=0.052

7            1              (1/58) =0.017

8            1              (1/58)=0.017

_________________________

Total     58                 1.00

b) \frac{7+10+13+14+6}{58}= \frac{50}{58}=0.862

Step-by-step explanation:

Assuming this question: Temperature transducers of a certain type are shipped in batches of 50. A sample of 60 batches was selected, and the number of transducers in each batch not conforming to design specifications was determined, resulting in the following data:

2,1,2,4,0,1,3,2,0,5,3,3,1,3,2,4,7,0,2,3,

0,4,2,1,3,1,1,3,4,2,3,2,2,8,4,5,1,3,1,

5,0,2,3,2,1,0,6,4,2,1,6,0,3,3,3,6,2,3

(a) Determine frequencies and relative frequencies for the observed values of x = number of nonconforming transducers in a batch. (Round your relative frequencies to three decimal places.)

For this case first we order the dataset on increasing way and we got:

0 0 0 0 0 0 0

1 1 1 1 1 1 1 1 1 1

2 2 2 2  2 2 2 2 2 2 2 2 2

3 3 3 3 3 3 3 3 3 3 3 3  3 3

4 4 4 4 4 4

5 5 5

6 6 6

7

8

And we can construct the following table:

X        Freq.         Rel Freq.

__________________________

0           7              (7/58) = 0.121

1            10            (10/58)=0.172

2           13            (13/58) =0.224

3           14            (14/58)=0.241

4           6              (6/58)=0.103

5           3              (3/58)=0.052

6           3              (3/58)=0.052

7            1              (1/58) =0.017

8            1              (1/58)=0.017

_________________________

Total     58                 1.00

(b) What proportion of batches in the sample have at most four nonconforming transducers? (Round your answer to three decimal places.)

For this case this proportion would be:

\frac{7+10+13+14+6}{58}= \frac{50}{58}=0.862

4 0
3 years ago
How many 1 1/2 -liter bottles of water does it take to fill a 16-liter jug?
egoroff_w [7]
I would say 10 and 1/3 of the 1 1/2 liter bottles
8 0
3 years ago
Tell whether the relation is a function. {(-5, -3), (-1, 3), (4, 3), (8, 8)}
VladimirAG [237]

Given:

The relation is {(-5, -3), (-1, 3), (4,3), (8, 8)}.

To find:

Whether the given relation is a function or not.

Solution:

A relation is called a function, if there exist a unique output for each input.

We have, a relation given as

{(-5, -3), (-1, 3), (4,3), (8, 8)}

Here, all x-values are different. So, each x-value has a unique y-value.

Thus, there exist a unique output for each input.

Therefore, the given relation is a function.

8 0
3 years ago
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