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Svetach [21]
3 years ago
8

Solve x2 - 10x = -21

Mathematics
2 answers:
ipn [44]3 years ago
8 0

Answer:

add 21 to both sides to get everything on one side

x^2 - 10x + 21 = 0

do factorization, guess and check

(x - 7) (x -3) = 0

x =7, and x =3

Mariana [72]3 years ago
4 0

Answer:

x= 7,3

Step-by-step explanation:

Move all terms to the left side and set equal to 0. Then set each factor = to 0

Hope this helps please make me brainliest!

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A hot tub is draining, and the water level is decreasing at a constant rate. After 9.3 minutes, the tub contains 401.92 gallons.
Darya [45]

Answer:

it's A y-intercept hope it helps

3 0
2 years ago
For each function, do the following: a) state the name of the function, b) identify the independent and dependent variable, c) i
daser333 [38]
<h2>Hello</h2>

The answers are:

a) The name of the function is g, and it's an Exponential Function.

b) Independent variable : x , dependent variable : g(x)/y

c) The rule that assigns exactly one output to the very input is called "function".

d) g(4)=2^{4}+12=16+12=28

<h2>Why?</h2>

Usually, the name of a function (g(x)) is given by letter that is out of the parentheses. For this exercise,  the name of the function is "g", and it's an Exponential Function.

The independent variable of a function is the variable we assign the different values. For this exercise, the independent variable is designated with the letter "x".

The dependent variable is the function itself (g(x)), it's also called "y",  and it's called "dependent" variable because its values will always depend on the "independent variable".

A function is the rule that states that there is exactly one output (range value) to the each input (domain value).  A function only exists when there is exactly one output value (range) for each input (domain), if there is more than one output for each input, the function does not exist.

To evaluate a function we need to assign values to the independent variable(x), therefore:

g(4)=2^{4}+12=16+12=28

Have a nice day!

8 0
3 years ago
Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 7 liters of natural oil for every 5 liters of
Svetach [21]
What we know:
Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 7 liters of natural oil for every 5 liters of synthetic oil.

What we need to find:
If 355 liters of synthetic oil are used, how many liters of petrolyn oil will be made?

Set up a proportion to find how much natural oil is used.
7L natural oil/5L synthetic oil = x/355 synthetic oil where x=natural oil
7/5=x/355
(5)(x)=(7)(355) cross multiplied
5x=2485 simplified
5/5x=2485/5 multiplicative inverse
x=497L

Now, add both synthetic oil and natural oil to find amount of petrolyn oil.

355 L synthetic oil + 497 L natural oil= 852 L of petrolyn oil
5 0
3 years ago
How many solutions does this system of equations have?
guajiro [1.7K]

Answer:

1 solution

Step-by-step explanation:

A system of linear equations has no solution when the graphs are parallel.

7 0
2 years ago
Let's play a game of Russian roulette. You are tied to your chair. Here's a gun, a revolver. Here's the barrel of the gun, six c
4vir4ik [10]

Answer:

Don't spin the barrel.

Step-by-step explanation:

Each time you spin the barrel, the probability A of finding a bullet, having two bullets in six chambers is:

P(A)=\frac{2}{6}=\frac{1}{3}=0.33

For you to get shot in the second try but not the first, the barrel spin would have to stop precisely at one specific chamber: the one right before the bullets, so that probability would be:

P(B)=\frac{1}{6}=0.17

which means that this event is half as likely as finding a bullet every time the barrel is spun. Your chances are better if you pull the trigger for the second time without spinning the barrel.

4 0
3 years ago
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