All categories

3 years ago

What are the solutions to the system of equations?

Mathematics

1 answer:

Setler79 [48]3 years ago

8 0

Answer:

(3.5, 1.5) and (1, -1).

Step-by-step explanation:

As both expressions in x are equal to y we can write:

2x^2 - 8x + 5 = x - 2

2x^2 - 9x + 7 = 0

(2x - 7)(x - 1) = 0

2x - 7 = 0 or x - 1 = 0

x = 3.5, 1,

When x = 1, y = 1 - 2 = -1.

When x = 3.5, y = 3.5 - 1 = 1.5.

You might be interested in

Holly and 2 her best friends went to dinner. Their total bill was $32.20. They use a coupon for 15% off the total. If they split

V125BC [204]

Answer:

$9.12 each

Step-by-step explanation:

15 percent of 32.20 = 4.83. 32.20 - 4.83 = 27.37.

27.37/3 friends = about $9.12 each

7 0

3 years ago

I really need help. Find a. Round to the nearest tenth.

valina [46]

Answer:

a ≈ 1.8

Step-by-step explanation:

a / sin (180 - 105 - 15)° = 2 /sin 105°

a = (2 /sin 105°) x sin 60°

a = (2 / 0.97) x 0.87

a = 1.79 (≈ 1.8)

6 0

3 years ago

Suppose that contamination particle size (in micrometers) canbe modeled as

asambeis [7]

Answer:

c) 2

d) 0.96

Step-by-step explanation:

We are given the following in the question:

$f(x) = 2x^{-3}, x > 1\\~~~~~~~= 0, x \leq 1$

a) probability density function.

$\displaystyle\int^{\infty}_{\infty}f(x) dx = 1\\\\\displaystyle\int^{\infty}_{-\infty}2x^{-3}dx = 1\\\\\displaystyle\int^{\infty}_{1}2x^{-3}dx\\\\\Rightarrow \big[-x^{-2}\big]^{\infty}_1\\\\\Rightarrow -(0-1) = 1$

Thus, it is a probability density function.

b) cumulative distribution function.

$P(X$

c) mean of the distribution

$\mu = \displaystyle\int^{\infty}_{-\infty}xf(x) dx\\\\\mu = \int^{\infty}_12x^{-2}dx\\\\\mu = (-\frac{2}{x})^{\infty}_{1}\\\\\mu = 2$

d) probability that the size of random particle will be less than 5 micrometers

$P(X$

4 0

2 years ago

Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Liono4ka [1.6K]

Answer:

a = E

b = A

c = B

d = D

I solved this using my graphic calculator.

6 0

2 years ago

In science class, Savannah measures the temperature of a liquid to be 34 ∘ 34∘ Celsius. Her teacher wants her to convert the t

Pavlova-9 [17]

93.2 degrees Fahrenheit

4 0

3 years ago

Read 2 more answers