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kupik [55]
3 years ago
9

The graph of a quadratic function does not cross the x-axis, but crosses the y-axis in one place.

Mathematics
1 answer:
natulia [17]3 years ago
5 0

Answer: D


Step-by-step explanation:

A quadratic function has a degree of 2 so there will be two roots.  The statement says the function does NOT CROSS THE X-AXIS so there are no real roots. That means both roots must be imaginary (complex).

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Which is an example of an algebraic expression?
azamat
An algebraic expression doesnt have an equals sign or an inequality sign. 

So,

A is an expression
B is an inequality
C is an equation
D is an in inequality

So the answer is A
5 0
3 years ago
A company that rents small moving trucks wants to purchase 25 trucks with a combined capacity of 28,000 cubic feet. Three differ
pickupchik [31]

Answer:

We have 4 solutions:

  • No 10-foot truck, 10  14-foot trucks, and 15 24-foot trucks
  • 2 10-foot trucks, 7 14-foot trucks, and 16 24-foot trucks
  • 4 10-foot trucks, 4  14-foot trucks, and 17 24-foot trucks
  • 6 10-foot trucks, 1 14-foot trucks, and 18 24-foot trucks

Step-by-step explanation:

Let the number of 10-foot truck with a capacity of 350 cubic feet purchased=a

Let the number of 14-foot truck with a capacity of 700 cubic feet purchased=b

Let the number of 24-foot truck with a capacity of 1,400 cubic feet purchased=c

The company wants to purchase 25 trucks, therefore.

  • a+b+c=25

Furthermore, the combined capacity of the trucks is 28,000 cubic feet.

  • 350a+700b+1400c=28000

Since the number of equations is less than the number of variables, you can not use a matrix equation to solve this problem.  The solution is most easily found using an augmented matrix.  

The augmented matrix is presented below:  

\left[\begin{array}{ccc|c}1&1&1&25\\350&700&1400&28000\end{array}\right]

Using the calculator, the reduced row echelon form is:

\left[\begin{array}{ccc|c}1&0&-2&-30\\0&1&3&55\end{array}\right]

where  

a- 2c=-30 means a =2c-30

b+3c=55 means b= 55-3c

We alter the value of c as long as neither a nor b becomes negative. Suitable values for c are 15, 16, 17, and 18:

\left|\begin{array}{|c||c||c|}a=2c-30&b=55-3c&c\\0&10&15\\2&7&16\\4&4&17\\6&1&18\end{array}\right|

We can easily  verify that, for each solution, the number of trucks adds up to 25 and the fleet capacity is 28,000 cubic feet.

We therefore have 4 solutions:

  • No 10-foot truck, 10  14-foot trucks, and 15 24-foot trucks
  • 2 10-foot trucks, 7 14-foot trucks, and 16 24-foot trucks
  • 4 10-foot trucks, 4  14-foot trucks, and 17 24-foot trucks
  • 6 10-foot trucks, 1 14-foot trucks, and 18 24-foot trucks
4 0
3 years ago
look at the shape of the graph. What can you predict about the mean and median prices? I ready level f
Savatey [412]

Answer:

Where is the graph?

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The stock of Company A gained 5.25% today to $21.05. What was the opening price of the stock in the beginning of the day?
zlopas [31]

Answer:

$20

Step-by-step explanation:

Easy formula for these problems is new price divided by change in percent as decimal with 1 at begining. So for this problem it is 21.05/1.0525. You can then test your answer by muliply you answer by 1.0525.

8 0
2 years ago
Read 2 more answers
Find the sum and express it in simplest form.<br><br> (-5y^3 - 7y) + (7y^3 + 8y +9)
Tema [17]
<span>(-5y^3 - 7y) + (7y^3 + 8y +9)
</span>

-5y^3+7y^3-7y+8y+9   <---- Group like terms
 
-5y^3+7y^3+y+9  <---- Add similar elements 

Answer: 2y^3+y+9

Read it carefully as it may look confusing with the symbols. 
6 0
3 years ago
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