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Snowcat [4.5K]
3 years ago
8

How can you write (x-3)(x+4)-18 as a product of two binomials? Please show work please help

Mathematics
1 answer:
ANEK [815]3 years ago
5 0

Answer:

OPTION C: (x - 5)(x + 6)

Step-by-step explanation:

Given: (x - 3)(x + 4) - 18

Product of (x - 3) and  (x + 4) = x² + 4x - 3x - 12

Therefore, (x - 3)(x + 4) - 18 = x² + x - 30

This is a quadratic equation and the roots are x = 5, -6.

This can be written as binomials as:

  (x - 5)(x + 6) which is the required answer.

So, OPTION C is the answer.

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An ornithologist has 4 bird feeders at separate locations. She wonders if birds are equally likely to visit each of the feeders.
Marianna [84]

Answer:

the x² test statistic 13.71

Option a) 13.71 is the correct answer.

Step-by-step explanation:

Given the data in the question;

Feeder                     1      2      3       4

Observed visits; o_i  60   90   92    58

data sample = 300

Expected e_i = 300 / 4 = 75

the x² test statistic = ?

X^2_{stat = ∑[ (o_i - e_i)²/e_i]

X^2_{stat = [ (60 - 75)² / 75 ] + [ (90 - 75)² / 75 ] + [ (92 - 75)² / 75 ] + [ (58 - 75)² / 75 ]

X^2_{stat = [ 3 ] + [ 3 ] + [ 3.8533 ] + [ 3.8533 ]

X^2_{stat = 13.7066 ≈ 13.71

Therefore, the x² test statistic 13.71

Option a) 13.71 is the correct answer.

7 0
2 years ago
Could someone help me find the velocity of the object pls im stuck
Mila [183]

Answer:

10 m/s

Step-by-step explanation:

Velocity= Position/Time

You can take any point on the line to calculate velocity.

Lets take t=1s

At t=1, position=10m

velocity= 10m/1s

=10 m/s

You can take any other point too, velocity will remain same.

For eg.

At t=5s

position=50m

velocity=50/5

=10m/s

Hope it helps :-)

5 0
3 years ago
Read 2 more answers
1) Identify the slope of the given line
adell [148]

ok so here we go:

1) (-6,-2.5),(-4,-3)\ m= -0.25 or  -\frac{1}{4}

2 )y=-0.25x-4 so the answer is (0, -4) or -4

3) y=\frac{3}{2}x+1 m=\frac{3}{2}

4) y=[tex]\frac{3}{2}x+1[tex] so the answer is (0, 1) or 1

8 0
3 years ago
Read 2 more answers
How many corn pizzas were sold?
Klio2033 [76]

Answer:

45

Step-by-step explanation:

10+10+10+10+5=45

5 0
3 years ago
Read 2 more answers
The coordinate of the vertices for square CDEF translated 3 units right and 4 units up if the vertices are C(-3,1), D(1,5), E(5,
ELEN [110]
The statement is false because not all the corresponding point have been translated correctly from the original.

Here are the correct answers:

C: (-3, 1) to (0,5). CORRECT!
D: (1,5) to (4, 9) INCORRECT IN THE CHOICE
E: (5, 1) to (8, 5) INCORRECT IN THE CHOICE
F: (1, -3) to (4, 1) INCORRECT IN THE CHOICE
7 0
3 years ago
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