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blondinia [14]
3 years ago
13

Between which two ordered pairs does the graph of f(x) = one-halfx2 + x – 9 cross the negative x-axis?

Mathematics
2 answers:
Anit [1.1K]3 years ago
6 0

Answer:

Step-by-step explanation:

we have that

f(x) = x^2 + x - 9

Using a graph tool

see the attached figure

The function represent a vertical parabola that open up

the vertex is a minimum-------> is the point (-0.5, -9.3)

The x-intercepts are the points when the y coordinate is equal to zero

The x-intercepts are the points (-3.5, 0)  and (2.5, 0)

so

the function cross the negative x-axis at point

therefore, the answer is

(-4, 0) and (-3, 0)

k0ka [10]3 years ago
3 0

Answer:

(-6,0)(-5,0)

Step-by-step explanation:

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2 years ago
A wall is in the shape of a trapezium. The first level of the wall is made up of 50 bricks where as the top level has 14 bricks.
alukav5142 [94]

Answer:

i). 10 levels of the bricks

ii). 320 bricks

Step-by-step explanation:

First level contains number of bricks = 50

Second level will contain = 50 - 4 = 46 bricks

Similarly, 3rd level will contain number of bricks = 46 - 4 = 42

Therefore, sequence formed for the number of bricks in each level of the wall will be,

50, 46, 42........14

This sequence is an arithmetic sequence having,

First term 'a' = 50

Common difference 'd' = 46 - 50 = (-4)

Last term of the sequence T_{n}= 14

i). Expression representing last term will be,

  T_{n}=a+(n-1)d

  Here T_{n} = nth term

  a = first term

  n = number of term (Number of level of the wall)

  d = common difference

  By substituting these values in the formula,

  14 = 50 + (n - 1)(-4)

  14 - 50 = (-4)(n - 1)

  -36 = -4(n - 1)

  9 = (n - 1)  

  n = 9 + 1

  n = 10

ii). Number of bricks used in the wall = Sum of the sequence

   Expression for the sum of an arithmetic sequence is,

   S_n=\frac{n}{2}[2a+(n-1)d]

   S_n=\frac{10}{2}[2\times 50+(10-1)(-4)]

        = 5(100 - 36)

        = 320 bricks

4 0
2 years ago
27=9•s what does s equal
Andru [333]

Answer:

s=3

Step-by-step explanation:

27=9•s

Divide each side by 9

27/9 = 9s/9

3 =s

7 0
2 years ago
Read 2 more answers
I need help with these two math problems it’s homework and due and there provided in the picture above that being 2 and 4
Vesnalui [34]

Answer: 268.8

Step-by-step explanation: i know 2 but not 4

 

   proportion:   5= 112

                          12= x          

                                 x= 268.8

4 0
3 years ago
How many yards are in 150 feet?
aliya0001 [1]
Each yard is 3 feet, so 150 / 3(a yard) = 50 (yards)
4 0
2 years ago
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