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svlad2 [7]
3 years ago
11

Which binomial must be subtracted from (10r-7) so that the difference of the 2 polynomials is (93r+12)?

Mathematics
1 answer:
babunello [35]3 years ago
6 0

First binomial expression is A = (10r - 7).

Let's assume second binomial expression is B.

and third binomial expression is C = (93r + 12).

According to given question, A - B = C.

To find B, we can subtract C from A such that;

B = A - C

B = (10r - 7) - (93r + 12)

Distributing negative sign and removing parentheses;

B = 10r - 7 - 93r - 12

Combining like terms;

B = (10r - 93r) + (-7 -12)

B = (-83r) + (-19)

B = -83r -19

Hence, second binomial expression would be B = (-83r -19).

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D: 2/1

EXPLANATION:
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8/4 is the ratio

8/4 can be simplified to 2/1

Hope this helps!
6 0
2 years ago
PLEASE HELP!!!!<br><br>Which of the following functions is graphed below?!?
Bingel [31]

The given graph is for a piecewise function consisting of two intervals:

(1) x ≤ 1 ⇒⇒⇒ the graph in this interval like <u>a cubic </u>function.

(2) x > 1 ⇒⇒⇒ the graph in this interval like <u>a quadratic </u>function

By comparing to the given options

<u>The answer is option c.</u>

5 0
2 years ago
Read 2 more answers
Find a cubic function f(x) = ax3 + bx2 + cx + d that has a local maximum value of 3 at x = −3 and a local minimum value of 0 at
Amiraneli [1.4K]

Answer:

The cubic function is f(x) = (27/32)·x  - 3/32·x³ - -9/32·x² - 9/32

Step-by-step explanation:

The given function is f(x) = a·x³ + b·x² + c·x + d

By differentiation, we have;

3·a·x² + 2·b·x + c = 0

3·a·(-3)² + 2·b·(-3) + c = 0

3·a·9 - 6·b + c = 0

27·a - 6·b + c = 0

3·a·(1)² + 2·b·(1) + c = 0

3·a + 2·b + c = 0

a·(-3)³ + b·(-3)² + c·(-3) + d = -3

-27·a + 9·b - 3·c + d = -3...(1)

a + b + c + d = 0...(2)

Subtracting equation (1) from equation (2) gives;

28·a - 8·b + 4·c = 3

Therefore, we have;

27·a - 6·b + c = 0

3·a + 2·b + c = 0

28·a - 8·b + 4·c = 0

Solving the system of equations using an Wolfram Alpha gives;

a = -3/32, b = -9/32, c = 27/32 from which we have;

a + b + c + d = 0 3 × (-3/32) + 2 × (-9/32) + (27/32) + d = 0

d = 0 - (0 3 × (-3/32) + 2 × (-9/32) + (27/32)) = -9/32

The cubic function is therefore f(x) = (-3/32)·x³ + (-9/32)·x² + (27/32)·x + (-9/32).

4 0
2 years ago
A school made $880 from ticket sales for the school play. From the ticket sales, $250 were from adult tickets.
Alecsey [184]

Answer:

126 Students

Step-by-step explanation:

First, you subtract the money from the adult tickets from the total ($880), that leaves $630.

Since each student ticket is $5, you divide $630 by 5, which equals 126.

So, 126 students attended.

3 0
2 years ago
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Angela is following this recipe to make biscuits.
maks197457 [2]

Answer : The amount of margarine needed is 1 kg.

Step-by-step explanation :

First we have to convert volume of syrup from mL to L.

Conversion used:

1 L = 1000 mL

or, 1 mL = 0.001 L

So, 225 mL = 0.225 L

Now we have to calculate the amount of margarine needed.

As, 0.225 L of syrup needed 150 g of margarine

So, 1.8 L of syrup needed \frac{1.5L}{0.225L}\times 150 g=1000g of margarine

Amount of margarine needed = 1000 g = 1 kg     (1 kg = 1000 g)

Therefore, the amount of margarine needed is 1 kg.

4 0
3 years ago
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