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Bezzdna [24]
3 years ago
13

2. Function C takes time for its input and gives a student's Monday class for its output.

Mathematics
1 answer:
kaheart [24]3 years ago
6 0

Answer:

We know that C(T) is a function where you input the time T, and the output will be the student's Monday class.

a) A student has English at 10:00.

Here we can use T = 10:00 as the input, and the output will be the class, English.

Then this can represent this with:

C(10:00) = English.

b) Write a statement to describe the meaning of C(11:15) = chemistry.

for C(11:15) = Chemistry

The input, the time, is 11:15

The output, the class, is chemistry.

The student has a chemistry class at 11:15

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Factorise <br> a) 4p²-81<br> b) x²-13x+36
taurus [48]

Answer:

A = (2p + 9) (2p - 9)

B = (x - 9) (x - 4)

Step-by-step explanation:

For A : Rewrite 4p^2 as (2p)^2.

(2p)^2−81

Rewrite 81 as 9^2.

(2p)^2−9^2

Since both terms are perfect squares, factor using the difference of squares formula, a^2 − b^2 = ( a + b ) ( a − b ) where a = 2p and b = 9 .

(2p + 9) (2p − 9)

For B : Consider the form x^2 + bx + c . Find a pair of integers whose product is c and whose sum is b . In this case, whose product is 36 and whose sum is − 13 .

-9, -4

(x - 9) (x - 4)

I hope this helps.

7 0
3 years ago
Solve <br> | 2x + 6 | = x
Lemur [1.5K]

Answer:

1)<u> </u><u>soln</u>,

or,2x+6=x

or,2x-x= -6

or,x= -6

•°•x= -6 Ans#

4 0
3 years ago
Please Help.<br> Match the reasons to the statements given.
marishachu [46]

Answer:

1. Given

2. Diagonals of a parallelogram bisect each other.

3. Vertical angles are equal.

4. Definition of parallelogram.

5. If lines parallel, then alternate interior angles are equal.

6. ASA

7. CPCTE

Step-by-step explanation:

Statement 1:

The first statement is a parallelogram ABCD, which is already given in the question. So, reason 1 is: Given.

Statement 2:

BT and TD are equal because for a parallelogram, its diagonal bisect each other. Here, BD and AC are the diagonals of parallelogram ABCD. So, the diagonals bisect each other at T. Hence, BT = TD

Statement 3:

Angles 1 and 2 is a pair of vertical angles. A pair of vertical angles are always equal to each other.

Statement 4:

A parallelogram is a quadrilateral whose opposite sides are parallel and equal. Hence, BC ||AD is because of the definition of a parallelogram.

Statement 5:

Angles 3 and 4 is a pair of alternate interior angles. If two lines are parallel, then the alternate interior angles are always equal.

Statement 6:

The triangles BET and DFT are now congruent because:

i.Angle- \angle1=\angle2

ii. Side - BT = TD

iii. Angle - \angle3=\angle4

Therefore, by ASA postulate the two triangles are congruent.

Statement 7:

As the two triangles are congruent, then their corresponding parts are also equal.

So, by CPCTE, ET=FT

5 0
3 years ago
Jim sells hot dogs for $2.95 each and steak sandwiches for $9.95 each out of his food cart. During a busy outdoor festival, he s
Afina-wow [57]

Step-by-step explanation:

x + y = 985

2.95x + 9.95y = 7343.75

-2.95x - 2.95y = -2905.75

7y = 4438

y= 634 steak sandwiches

x + 634 = 985

x = 351 hot dogs

7 0
3 years ago
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Simplify 3x²y³ over 12x⁶y
Svetllana [295]

Answer:

12x^6y

Step-by-step explanation:

7 0
3 years ago
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