All categories

2 years ago

The difference of the square of a number and 10 is equal to 3 times that number. Find the negative solution.

Mathematics

1 answer:

Harrizon [31]2 years ago

3 0

Answer:

-2

Step-by-step explanation:

Let's call the number x. The statement tells us that

x^2 - 10 = 3x, or

x^2-3x-10 = 0

Factoring:

(x-5)(x+2) = 0. Here, we see that there are two solutions: x = 5 and x = -2. So, the negative solution is x = -2.

You might be interested in

PLEASE HELP!!! PLATO ALGEBRA 2

andrey2020 [161]

Answer:

(gof) (4) = 9

Hence, option A is true.

Step-by-step explanation:

f(x)=-x³

g(x)=|1/8x -1|

(gof) (4) = g{f(4)}

First wee need to determine f(4)

f(4)=-(4)³

= -64

(gof) (4) = g{f(4)} = g(-64)

= $\left|\frac{1}{8}\left(-64\right)-1\right|$

$=\left|-\frac{1}{8}\cdot \:64-1\right|$

$=\left|-8-1\right|$

$=\left|-9\right|$

$\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a$

$=9$

Thus,

(gof) (4) = 9

Hence, option A is true.

8 0

2 years ago

A figure is made up of a triangle and a rectangle. The triangle has a height of 8.5 inches and a base of 10 inches. The rectangl

Brilliant_brown [7]

$\sf are a \ of \ triangle : \frac{1}{2}*base *height$

$\sf are a \ of \ rectangle : Length * Width$

total area :

$\sf are a \ of \ rectangle + area \ of \ triangle$

$\rightarrow \sf 9 * 10 + \frac{1}{2} *8.5*10$

$\rightarrow \sf 132.5 \ in^2$

5 0

2 years ago

This is for my sister she need help ASAP

lisov135 [29]

Answer:

Your Answer is C

3 0

3 years ago

(a) A tram moved downward 72 meters in 8 seconds at a constant rate. What was the change in

Alex787 [66]

Answer:

a) 9 meters.

b) The total change in temperature was of 288ºC

Step-by-step explanation:

Both these questions can be solved using rules of three.

a) 72 meters in 8 seconds. How many meters it changes each second(in 1 second)?

8s - 72m

1s - x m

$8x = 72$

$x = \frac{72}{8}$

$x = 9$

9 meters.

b) In 1 hour, heated by 6ºC. How much in total during 48 hours?

1h - 6ºC

48h - xºC

x = 48*6

The total change in temperature was of 288ºC

3 0

2 years ago

a rectangular prism is completely packed with 84 cubes of edge length 1 over 3 inch without any gap or overlap

Dominik [7]

The volume of a cube is s^3, where s is the length of a side.

If you have 84 cubes with sides of 1/3 in, the total volume is:

V=84(1/3)^3 in^3

V=84/27 in^3

V=28/9 in^3

V≈3.11 in^3 (to nearest hundredth of a cubic inch)

5 0

3 years ago