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Evgen [1.6K]
4 years ago
5

Evaluate each expression if a = -1, b = -8, c = 5, and d = -1.4.

Mathematics
1 answer:
marissa [1.9K]4 years ago
8 0

Answer:

2

Step-by-step explanation:

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Find the value of p if the following pair of equation may have one root common:
Diano4ka-milaya [45]

The value of p if the pair of equations may have one root common is 1.

<h3>What are the roots of the equation?</h3>

Let the equation be ax² + bx + c = 0.

Then the roots of the equation will be

\rm x = \dfrac{-b \pm \sqrt{b^2 - 4 a c }}{2a}

The equations are given below.

2x² + px - 1 = 0 and 3x² - 2x - 5 = 0

The roots of the equation 3x² - 2x - 5 = 0 will be

3x² - 5x + 3x - 5 = 0

(3x - 5)(x + 1) = 0

x = -1, 5/3

At x = -1, the value of p will be

2(-1)² + p(-1) - 1 = 0

2 - p - 1 = 0

p = 1

The value of p if the pair of equations may have one root common is 1.

More about the roots of the equation link is given below.

brainly.com/question/12029673

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7 0
2 years ago
What is the Quotient of 16.29÷100​
My name is Ann [436]

Answer:

~0.16

Step-by-step explanation:

quotient, i believe, is just the answer to a division problem. divide normally and u get 0.1629

8 0
3 years ago
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The school production of Our Town' was a big success. For opening night. 434 tickets were sold. Students paid $4.00 each, while
Alex73 [517]

Answer:

286 students attended

148 non students attended

Step-by-step explanation:

Given

Tickets = 434

Students = \$4.00

Non-Students = \$6.00

Total = \$2032.00

Solving (a): Number of students

Represent students with S and non students with N

So:

S + N = 434 --- (1)

4S + 6N = 2032 --- (2)

Make N the subject of formula in (1)

N = 434 - S

Substitute 434 - S for N in (2)

4S +6(434 - S) = 2032

Open Bracket

4S + 2604 - 6S = 2032

Collect Like Terms

4S - 6S = 2032 - 2604

-2S = -572

Divide through by -2

S = 286

<em>Hence; 286 students attended</em>

Solving (b):

Recall that

N = 434 - S

N = 434 - 286

N = 148

<em>148 non students attended</em>

4 0
3 years ago
Find the missing length to the nearest teni
Temka [501]

Answer: Its A 9

Step-by-step explanation: LOLLLLL is that rock lee form Naruto :D

3 0
3 years ago
Given<br> the<br> function<br> f(x)= 3(x-2)² + 5, what<br> is<br> f(-1)?
motikmotik

Answer:

32

Step-by-step explanation:

f(x)= 3(x-2)² + 5

Let x = -1

f(-1)= 3(-1-2)² + 5

Parentheses first

f(-1) = 3(-3)^2 +5

Exponents

f(-1)= 3*9 + 5

Multiply

f(-1) = 27+5

Add

f(-1) = 32

5 0
3 years ago
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