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3 years ago

(3b + 12 ) divided by 2 =30 Whats is b ?

1 answer:

6 0

b=16 , First you multiply 30 by 2 to see what sum you need for the numerator. Then you subtract the 60 that you get by the 12 and get 48. So 3 multiplied by b should give you 48. So you just divide 48 by 3 and get 16.

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3x^2+kx=-3 What is the value of K will result in exactly one solution to the equation?

Scorpion4ik [409]

Answer:

For k = 6 or k = -6, the equation will have exactly one solution.

Step-by-step explanation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = (x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

If $\bigtriangleup = 0$ , the equation has only one solution.

In this problem, we have that:

$3x^{2} + kx + 3 = 0$

$a = 3, b = k, c = 3$

$\bigtriangleup = b^{2} - 4ac$

$\bigtriangleup = k^{2} - 4*3*3$

$\bigtriangleup = k^{2} - 36$

We will only have one solution if $\bigtriangleup = 0$ . So

$\bigtriangleup = 0$

$k^{2} - 36 = 0$

$k^{2} = 36$

$k = \pm \sqrt{36}$

$k = \pm 6$

For k = 6 or k = -6, the equation will have exactly one solution.

3 0

3 years ago

Given congruent triangles ΔABC ≅ΔDEF where AB = 11, BC = 5, and DE = 6x-7. Find the value of x.

Sidana [21]

Answer: Congruent angles are angles that have the same measure. ... y = 67 x = 180 – 67 = 113. 2. x = ______ y = ______. 3x – 5 = 127. +5 +5. 3x = 132 ... Find the measure of the angle and give the reason for knowing it. ... Solve for the unknown values: ... 2) AD. 3) AB. 4) BC. 24. In ΔABC, If CA ≅ CB and m∠A = 50, find the m∠B.

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3 years ago

Read 2 more answers

Max's neighbor pays $15 to feed her dog Scout, for 3 days while she is out of town. Max wants to know how much he makes each day

valentina_108 [34]

15 /3 = 5
A: $5 per day

6 0

3 years ago

Evaluate the function f(p) = p2 + 3p + 1 for p = -2

Gelneren [198K]

P2 + 3p + 1
(-2)2 + 3(-2) +1
-4 +(-6) +1
-9

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