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3 years ago

Find the solution(s) to the system of equations. Select all that apply.

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

7 0

Answer: (1,0)

Step-by-step explanation:

y = x^2 - 1

y = 2x - 2

x^2 - 1 = 2x - 2

x^2 - 2x + 1 = 0

(x - 1)^2 = 0

x = 1

Because x = 1 the answer must be D

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A shipping box has to have specific dimensions to hold an item. The volume must be 7500 cubic inches. The length must be 5 times

Gennadij [26K]

The dimension of the box is 50in by 10in by 15in

<h3>How to calculate the volume of a figure</h3>

The volume of an object is the quantity of substance it contains.

The formula for calculating the volume of the box is expressed as:

V = lwh

where:

l is the length
w is the width
h is the height

Given the following parameters

length = 5w
height = w + 5

Substiute

7500 = 5w(w)(w+5)
7500 = 5w²(w+5)
1500 = w³+5w²
w³+5w² - 1500 = 0

<u>Factorize to determine the width</u>

On factorizing, the width of the box is 10 inches

Recall that:

l = 5w
l = 5(10)

l = 50inches

<u>Get the height</u>

h = w + 5
h = 10 + 5
h = 15inches

Hence the dimension of the box is 50in by 10in by 15in

Learn more on volume of box here: brainly.com/question/14957364

8 0

2 years ago

convert 50° Fahrenheit to celsius using the following formula. round your answers to the nearest degree. 5\9 (f°-32) =c°

weqwewe [10]

First you do 50 - 32 an that equals 13, so your answer is 13

8 0

4 years ago

Find the average rate of change of f(x)= x^2-4x from x of one =5 to x of two =9

ICE Princess25 [194]

The rate of change of function is: 10

Further explanation:

The formula for rate of change is:

$Rate\ of\ change = \frac{f(x_2)-f(x_1)}{x_2-x_1}$

Given

$f(x) = x^2-4x\\x_1 =5\\x_2=9\\So,\\f(x_1) = f(5) = (5)^2-4(5)\\=25-20\\=5\\f(x_2) = f(9) = (9)^2-4(9)\\=81-36\\=45$

Putting the values in the formula:

$Rate\ of\ change = \frac{f(9)-f(5)}{9-5}\\=\frac{45-5}{9-5}\\=\frac{40}{4}\\=10$

The rate of change of function is: 10

Keywords: Functions, Rate of change of functions

Learn more about functions at:

#LearnwithBrainly

6 0

4 years ago

Is the answer 35 a5 b5 c5

Serga [27]

You almost had it instead of positive 35 it should be negative 35
so the answer should be -35a5b5c5

6 0

3 years ago

Find the equationof a circle whose centre is (-3-15) and passing point (5,-1) find the equation of circle..

Ludmilka [50]

Answer: $(x+3)^{2} +(y+15)^{2}=260$

Step-by-step explanation:

The centre is (-3,-15), so we can say the equation of circle is $(x+3)^{2} +(y+15)^{2}=r^{2}$ . put (5,-1) at this equation.

then, we can know $r^{2}=260$ .

∴ $(x+3)^{2} +(y+15)^{2}=260$

4 0

3 years ago