What is this? Please answer with an explanation

Mathematics

1 answer:

Colt1911 [192]3 years ago

8 0

Answer:

Step-by-step explanation:

Given

f(x) = $\sqrt{x-10}$ + 11 ← substitute x = 1

f(1) = $\sqrt{1-10}$ + 11

= $\sqrt{-9}$ + 11

$\sqrt{-9}$ is not real and therefore x = 1 does not have a real output for f(x)

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What temperature is 5 degrees less than 4 degrees Celsius

Xelga [282]

The correct answer is -4.

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3 years ago

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Find the difference 9 1/3 - 2/3

olga2289 [7]

Answer: 9 1/3 - 2/3 = 8 2/3 .
___________________________________

Note: If the answer were "8 1/3" ;

then: "8 1/3 + 2/3 =? 9 1/3 ? "

→ "8 1/3 + 2/3 = 8 3/3 = 8 + 1 = 9 = only "9" ;
____________________________________________
So the answer has to be MORE than "8 1/3"

Try "8 2/3" → "8 2/3 + 2/3 =? 9 1/3?" ?? ;

→ "8 2/3 + 2/3 = 8 4/3 = 8 + 1 1/3 = 9 1/3 " → Yes!
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So, the answer is: "8 2/3" .
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Another method:
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Given the problem: "9 1/3 - 2/3 " ;
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Note that: "2/3 = 1/3 + 1/3"
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So, "9 1/3 - 2/3 = 9 1/3 - (1/3 + 1/3) = 9 1/3 - 1/3 - 1/3 = ?
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Start with: "9 1/3 - 2/3" = 9. Then 9 - 1/3 = 8 3/3 - 1/3 = 8 2/3.
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Another method:
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Given the problem:
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"9 1/3 - 2/3 = ?? " ;
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Convert "9 1/3" into "28/3" ; ("3*9 = 27"); ("27+1=28");
(The "3" comes from the "3" in the: "1/3" portion.)
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So, we rewrite as:
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28/3 - 2/3 = (28 - 2) / 3 = 26/3 ; or, 8 2/3 .
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3 years ago

Which equation can be used to solve for the unknown number? Seven less than a number is thirteen.

zysi [14]

Answer:

n-7=13

Step-by-step explanation:

We need to find an equation that represents the expression: "Seven less than a number is thirteen".

It means that a number minus 7 equals 13. So, the correct option is: n-7=13

Bonus: Solving for 'n' we have that n=20.

So, Seven less than 20 equals 13!!

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Can someone help me with number 4,5 and 6?

True [87]

4) You know slope-intercept form is y=mx+b. So using these two given points, you can find the slope!

(-8,5) (-3,10) [Use the y1-y2 over x1-x2 formula to solve for slope]

10 - 5 5
--------- = ----- = 1
-3-(-8) 5

Hurray! You got a slope of one. Now substitute this back into your original equation:
y=mx+b --> y=1x+b

Next, we find what our "b" is, or what our y-intercept is:
Using one of the previous points given, substitute them into the new equation:
[I used the point (-3, 10) ]

y=1x+b
10=1(-3)+b SUBSTITUTE
10=-3+b MULTIPLY
10=-3+b
+3 +3 ADD
----------
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So, now we have our y-intercept. Use this and plug it into the equation:
y=1x+b --> y=1x+13

y=1x+13 is our final answer.

5) So for perpendicular lines, your slope will be the opposite reciprocal of the original slope. (Ex: Slope is 2, but perpendicular slope is -1/2)

We have the equation y= 3x-1, so find the reciprocal slope!
--> y=-1/3x-1

Good! Now we take our given point, (9, -4) and plug it into the new equation:

y=-1/3x-1
-4=-1/3(9)+b SUBSTITUTE and revert "-1" to "b", for we are trying to find the y- -4=-3+b intercept of our perpendicular equation.
+3 +3 ADD
--------
-1=b SIMPLIFY

So, our final answer is y=-1/3x+(-1)

6) I don't know, sorry! :(

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3 years ago

A bag contain 5 red marbles,4 green marbles and 1 blue marble. A marble is chosen at random from the bag and not replaced; then

jarptica [38.1K]

Answer:

$\frac{2}{15}$

Step-by-step explanation:

GIVEN: A bag contain $5$ red marbles, $4$ green marbles and $1$ blue marble. A marble is chosen at random from the bag and not replaced, then a second marble is chose.