3 years ago

Which congruence postulate proves that the two triangles are congruent?

1 answer:

8 0

The answer is SSS since both triangles have equal sides the third one has to be congruent since they share the same line

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3 years ago

Chad has $420 to invest. The price of a stock is $6.82 per share. What is the greatest number of whole shares Chad can buy?

gregori [183]

Approximately 61.

if you divide 420 by 6.82 you get 61.58 :)

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3 years ago

A train leaves a train station at 1 p.m. it travels at an average rate of 60 mi/hr. a high-speed train leaves the same station a

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2 years ago

Keegan is printing and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total

Katarina [22]

Answer:

t-shirts: 2790

profit: $12209

Step-by-step explanation:

Given the function:

p(x) = -x³ + 4x² + x

we want to maximize it.

The following criteria must be satisfied at the maximum:

dp/dx = 0

d²p/dx² < 0

dp/dx = -3x² + 8x + 1 = 0

Using quadratic formula:

$x = \frac{-b \pm \sqrt{b^2 -4(a)(c)}}{2(a)}$

$x = \frac{-8 \pm \sqrt{8^2 -4(-3)(1)}}{2(-3)}$

$x = \frac{-8 \pm 8.72}{-6}$

$x_1 = \frac{-8 + 8.72}{-6}$

$x_1 = -0.12$

$x_2 = \frac{-8 - 8.72}{-6}$

$x_2 = 2.79$

d²p/dx² = -6x + 8

d²p/dx² at x = -0.12: -6(-0.12) + 8 = 8.72 > 0

d²p/dx² at x = 2.79: -6(2.79) + 8 = -8.74 < 0

Then, he should prints 2.79 thousands, that is, 2790 t-shirts to make maximum profits.

Replacing into profit equation:

p(x) = -(2.79)³ + 4(2.79)² + 2.79 = 12.209

that is, $12209

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3 years ago

How to solve this problem?

Mrrafil [7]

10.9297 anxdjehsimdudneueneieo

4 0

2 years ago