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densk [106]
2 years ago
6

Which of the following are possible discriminants for a quadratic function that crosses the x-axis twice? Check all that apply.

Mathematics
1 answer:
Sedaia [141]2 years ago
7 0

Answer:

1001

1

Step-by-step explanation:

If a quadratic function crosses the x-axis twice, it has two solutions. For a quadratic function in ax^2+bx+c with discriminant b^2-4ac, the following is true:

  • If b^2-4ac>0, then the quadratic has two real solutions
  • If b^2-4ac=0, then the quadratic has one real solution
  • If b^2-4ac, then the quadratic has no real solutions

Therefore, in order to have two solutions, a quadratic's discriminant must be larger than 0. The only two answer choices that satisfy this are 1001 and 1.

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agasfer [191]

false is the answer.

7 0
2 years ago
Read 2 more answers
The right rectangular prism shown below is made of equal-sized cubes. The side length of each cube is 2 1/2 inches. What is the
mr_godi [17]

The image of the right rectangular prism is missing, so i have attached it.

Answer:

volume of the right rectangular prism = 625 in³

Step-by-step explanation:

The rectangular prism is made of equal-sized cubes. Thus, let's first find the volume of 1 cube.

Formula for volume of one cube is;

V = a³

where

a is the length of one side of the cube

We are told that this length is 2½ inches

Thus;

a = 2½ = 5/2 inches

>> V = (5/2)³

>> V = 125/8 in³

Now, in the rectangular prism attached, if we count the number of cubes we have, it is equal to 40 cubes

Therefore, the volume of the prism is;

Volume of one cube × 40

>> volume of the prism = (125/8) × 40

volume of the prism = 625 in³

6 0
3 years ago
At the farm, Justin picks 3 bushels of fruits. The bushels weigh 8 1/4 pounds, 6 1/2 pounds, and 6 5/8 pounds. What is the avera
blondinia [14]
ANSWER

Average \: Weight =  7 \frac{1}{8}  \: bushels


EXPLANATION

To find the average weight per bushel, we add all the three weight and divide by 3.


Average \: Weight =  \frac{8 \frac{1}{4}  + 6 \frac{1}{2} + 6 \frac{5}{8}  }{3}


We convert all the mixed numbers to improper fraction to obtain,


Average \: Weight =  \frac{ \frac{33}{4}  +  \frac{13}{2} + \frac{53}{8}  }{3}


The least common denominator for the fractions in the numerator is 8.


This implies that,

Average \: Weight =  \frac{ \frac{66 + 52 + 53}{8} }{3}

This simplifies to


Average \: Weight =  \frac{ \frac{171}{8} }{3}


This gives us,

Average \: Weight =   \frac{171}{24}



Average \: Weight =   \frac{57}{8}


Average \: Weight =  7 \frac{1}{8}

7 0
3 years ago
Ms. Carey is planning to host a neighborhood picnic. To make sure she had enough ingredients, she was making a table of possible
lukranit [14]

Answer:

5 and 48

Step-by-step explanation:

27:45

Simplify the ratio

3:5

The first one must be 5, and option 1 (5 and 48) is the only one with 5.

6 0
2 years ago
In triangle, prove that tan A -cot B - cot C=tanA.cotB.cotC​
torisob [31]

Answer:

See picture.

Step-by-step explanation:

5 0
3 years ago
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