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2 years ago

A line with a slope of -2 crosses the y-axis at (0, 3). The equation of the line is?

Mathematics

1 answer:

stepladder [879]2 years ago

3 0

Y= -2x+3. This is the equation of the line.

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Y - 2x =3 Solve for Y

k0ka [10]

Answer:Add x to both sides of the equation.y=3+2x

Step-by-step explanation:

7 0

2 years ago

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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

3 0

3 years ago

ONE HUNDRED POINTS

Over [174]

Answer:

See Below.

Step-by-step explanation:

We are given that ∠A = ∠D, and we want to prove that ΔACB ~ ΔDCE.

Statements: Reasons:

$1) \text{ $\angle A=\angle D$}$ $\text{Given}$

$2) \text{ }\angle BCA=\angle ECD$ $\text{Vertical Angles Are Congruent}$

$3) \text{ } \Delta ACB \sim \Delta DCE$ $\text{AA (Angle-Angle) Similarity}$

5 0

2 years ago

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I need help my people :-)

lara [203]

Answer:

13.75$

Step-by-step explanation:

First, take 10% of 12.50$. That will give you 1.25$.

Next, add that to 12.50$ to get your new hourly pay.

4 0

2 years ago

Calculate 4 raise to power 2 multiply by 5 raise to poer 2 minus 18 raise to power 2

Paladinen [302]

Answer:

Step-by-step explanation:

4^2 x 5^2 - 18^2

PEMDAS is our acronym for order of operations: Parentheses, exponents, multiplication, division, addition, subtraction.

Since we have no parentheses, we'll calculate the numbers and exponents (PEMDAS) first. "to the power of 2" is also called "squared" and means multiplying that number by itself.

(4x4) x (5x5) - (18x 18)

=16 x 25 - 324

Now we multiply: (PEMDAS)

= 400 - 324

then subtract: (PEMDAS)

=76

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2 years ago

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