Answer:
x=-6
Step-by-step explanation:
For the rational expression, 6x/(x+6) to be undefined, the denominator need to be 0, so x=-6 is the point at which the function is undefined.
The rational expression 6x / (x + 6) is undefined when x equals -6, and it is defined for all other real numbers.
To find the real numbers for which the rational expression 6x / (x + 6) is undefined, we need to identify the values of x that would make the denominator equal to zero. When the denominator is zero, the expression becomes undefined.
In this case, the denominator is (x + 6). Setting the denominator equal to zero, we have:
x + 6 = 0
Solving for x, we subtract 6 from both sides:
x = -6
Therefore, the rational expression 6x / (x + 6) is undefined when x = -6.
When x is equal to -6, the denominator becomes zero, which causes division by zero. Division by zero is undefined in mathematics. Hence, for x = -6, the rational expression is not defined.
For any other real numbers other than x = -6, the expression is defined and can be simplified or evaluated.
To learn more about the function;
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Diana get a gift card with a value of $55, and her favorite drink cost $2.20. How many plain black coffee can she buy with the gift card
Answer:
Twouufyjughgyuioiu567uhu888
Answer:
55/2.20=25 so 25 black coffees
Step-by-step explanation:
Which two-dimensional shape is formed if a plane intersects the cylinder shown,
perpendicular to the base?
A) Circle
B) Square
C) Rectangle
D) Ellipse
9514 1404 393Answer:
C) Rectangle
Step-by-step explanation:
In general, the vertical cross section of a "right" cylinder will be a rectangle. In some special cases, it may be a square.
Each intersection of the plane with the curved surface is a line, not a curve, so the shape cannot be a circle or ellipse.
Find the 84th term of an arithmetic sequence if the first term and common
difference are given as:
ai = 3; d = -4
ag4 =
I
Next
Previous
Answer:
-329
Step-by-step explanation:
1st term a1 = 3, common difference d = -4
84th term,
3+(84-1)(-4)
= -329
Plz answer asap question in picture
Answer:
-1 <x < 7
(-1,7)
Step-by-step explanation:
open circle on the left means the number is greater than
-1 <x
Open circle on the right means the number is less than
x < 7
Since both statements are true. we combine them
-1 <x < 7
open circles means parentheses, closed circles mean brackets
is f(x)=e^-3x an exponential function?
Which of the following functions best describes this graph? y=(x+2)(x+7)
Answer:
hope. It helps. What. I Understood
Please help me. 7th grade math.
Answer:
258square inches
Step-by-step explanation:
[AREA OF SHADED PORTION=TOTAL AREA -AREA OF INNER REGION.]
342-84
=258
divide 111001 by 1101
Based on the fact that you asked this three times and got the same answer three times, I suspect the interpretation made by the users that posted those answers was incorrect, and that you meant to ask about dividing in base 2.
We have
111001₂ = 1×2⁵ + 1×2⁴ + 1×2³ + 1×2⁰ = 57
1101₂ = 1×2³ + 1×2² + 1×2⁰ = 13
and 57/13 = (4×13 + 5)/13 = 4 + 5/13.
4 = 2² is already a power of 2, so we have
111001₂/1101₂ = 1×2² + 5/13
we just need to convert 5/13. To do this, we look for consecutive negative powers of 2 that 5/13 falls between, then expand 5/13 as the sum of the smaller power of 2 and some remainder term. For instance,
• 1/4 < 5/13 < 1/2, and
5/13 - 1/4 = (20 - 13)/52= 7/52
so that
5/13 = 1/4 + 7/52
or
5/13 = 1×2 ⁻² + 7/52
Then a partial conversion into base 2 gives us
111001₂/1101₂ = 1×2² + 1×2 ⁻² + 7/52
111001₂/1101₂ = 100.01₂ + 7/52
Continuing in this fashion, we find
• 1/8 < 7/52 < 1/4, and
7/52 = 1/8 + 1/104
==> 111001₂/1101₂ = 100.011₂ + 1/104
• 1/128 < 1/104 < 1/64, and
1/104 = 1/128 + 3/1664
==> 111001₂/1101₂ = 100.0110001₂ + 3/1664
• 1/1024 < 3/1664 < 1/512, and
3/1664 = 1/1024 + 11/13312
==> 111001₂/1101₂ = 100.0110001001₂ + 11/13312
• 1/2048 < 11/13312 < 1/1024, and
11/13312 = 1/2048 + 9/26624
==> 111001₂/1101₂ = 100.01100010011₂ + 9/26624
• 1/4096 < 9/26624 < 1/2048, and
9/26624 = 1/4096 + 5/53248
==> 111001₂/1101₂ = 100.011000100111₂ + 5/53248
and so on.
It turns out that this pattern repeats, so that
[tex]\displaystyle \frac{111001_2}{1101_2} = 100.\overline{011000100111}_2[/tex]
I need help with this balance mobile please:)
Answer:
blue 1
orange 5
green 3
I hope it is helpful and mark me as brainlest and follow me plz
Give the digits in the tens place and the tenths place.
97.42
Answer:
9: tens place
4: tenths place
Step-by-step explanation:
Is the following polynomial or not
5xy^2+3x^2y-2x^2y^2
9514 1404 393
Answer:
is a polynomial
Step-by-step explanation:
The expression is a sum of products.
Each product involves a numerical value and a product of variables to positive integer powers.
These meet the requirements for an expression to be a polynomial, so ...
the given expression is a polynomial
Evaluate (657.3÷10)-(94.5÷5)
Answer:
Ans; (657.3÷10)-(94.5÷5) = 65.73 – 18.9 = 46.83
I hope I helped you^_^
log, (x + y)=log, y, log, x .
Solve for question D only
Answer:
4.
Step-by-step explanation:
Change of base formula is
logb x = loga x / loga b
So logx 25 = log5 25 /log5 x
Now log5 25 = log5 5^2 = 2, so:
logx 25 = 2 / log5 x
So log5 x^2 * logx 25
= log5 x^2 * 2 /log5 x
= 2 log5 x * 2 / log5 x
= 4.
a) An orange weighs 155 grams.
What's the weight of the orange in kilograms?
Answer: 0.155
Step-by-step explanation:
g / 1000 = kilograms
155 / 1000 = 0.155
Find the missing side lengths.
Answer:
x is 18, and y is 9 √ 3
Step-by-step explanation:
Since this is a right triangle that contains a 30 degree angle, we know this is a special right triangle, and the missing angle is 60 degrees since a triangle is 180 degrees, and 180 - 90 - 30 = 60.
The relationship is listed below:
The side opposite of the 30 degrees can be represented as a variable, say "p", and the hypotenuse which is x in your question is twice this. The side opposite of the 60 degree angle is x + √3
So x is 18, and y is 9√3
PLZ ANSWERRRRRRRRRRRRR
Step-by-step explanation:
there it is! hopefully it's visible and understandable
:)
9. If a card is selected from a standard 52 card deck. What is the probability of selecting a face card or an Ace?
The total number of branches in a tree diagram will be which of the following values?
the probability of an event occurring
the denominator of a probability
the numerator of a probability
Answer:
The total number of branches = total possibilities = the denominator of a probability.
So the second choice is correct.
Let me know if this helps!
Answer:
Step-by-step explanation: answer B (the denominator of a probability)
WILL GIVE BRAINLIEST!!!
f(x) = 2/cos 2x
f(x) = 2/sin1x
f(x)=1/cos1/sin3
{x∣x ≠ π/4+πn/2} , for any integer n
Must click thanks and mark brainliest
(a) If y varies directly as x, and y=24 when x=16, find y when x=12.
(b) In a formula, z varies inversely as P. If Z is 200 when P is 4, find z when P is 10.
Answer:
(a) 18
(b) 80
Step-by-step explanation:
(a) let y=kx
so, 24=16k
or, k=24/16 or, k=3/2
now, putting x=12
y=kx
or, y=(3/2)×12
or, y=3×12/2
or, y=36/2
or, y=18
(b) let P=k/z
so, 4=k/200
or, k=800
when P = 10
P=k/z
or, 10=800/z
or, z=800/10
or, z=80
Help Please
2(-1+-4)-d^2
What are the common factors of 24 and 60
2 and 3 are the common factor of 24 and 60
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!!
Determine the intervals where the value of f(x) is positive, when f(x)= (x + 7)(2x + 3)(x + 5). Choose all that apply
a. -∞ < x < 7
b. -7 < x < -5
c. -5 < x < -3/2
d. -3/2 < x < ∞
Answer:
b and dStep-by-step explanation:
Find zero's:
x = -7x = -3/2x = -5The intervals:
x < -7, all negative, the result is negativex is between -7 and -5, two negatives, the result is positivex is between -5 and -3/2, one negative, the result is negativex is greater than -3/2, all 3 positives, the result is positiveAs we see correct choices are b and d
What is 1.25 x 10^8 in standard form?
Answer:
125000000
Step-by-step explanation:
1.25 x 10^8
Move the decimal 8 places to the right
1.25
We can move it two places
125
We need to add 6 more zeros
125000000
Answer: 125,000,000
Step-by-step explanation:
Which of the following situations describe the expression 3 / (4/5)?
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW
Answer:
Choice D
Step-by-step explanation:
3 ÷ 4/5
We need to have 3 of something and divide it into 4/5
This eliminates choices B and C because those have 4/5 of something
Choice A is giving away which is subtracting
Choice D is 3 lbs divide into 4/5 lb groups
Solve.
Simplify 7 to the fifth power times 4 to the 5th power
Answer:
7^5=16,807 and 4^5=1,024
Which choice shows 14•(8 · 2) correctly rewritten using the associative property and then correctly simplified?
(14.8) · 2 = 112 · 2 = 224
(14 . 82) = 1, 148
14. (2.8) = 14 - 16 = 224
14.2.8 = 28. 8 = 224
Answer:
14.(8.2)= 14.16 = 224
Step-by-step explanation:
the answer is the first one
For what values of K does the equation (2k+1)x^2 +2x= 10x - 6 have two real and equal roots.
Answer:
Step-by-step explanation:For what values of does the equation (2 + 1) have two 2
+ 2 = 10 − 6
real and equal roots?
A quadratic equation that has 2 roots that are equal means that the discriminant of the equation is 0. The value of k that makes the equation have 2 real and equal roots is [tex]k = \frac{5}{6}[/tex]
Given that:
[tex](2k + 1)x^2 + 2x = 10x - 6[/tex]
Rewrite as:
[tex](2k + 1)x^2 + 2x - 10x + 6 = 0[/tex]
[tex](2k + 1)x^2 - 8x + 6 = 0[/tex]
A quadratic equation is represented as:
[tex]ax^2 + bx + c = 0[/tex]
By comparison:
[tex]a=2k+1\\ b =-8\\\ c =6[/tex]
If an equation has 2 real and equal roots, then:
[tex]b^2 = 4ac[/tex]
So, we have:
[tex](-8)^2 = 4 \times (2k + 1) \times 6[/tex]
[tex]64 = 4 \times (2k + 1) \times 6[/tex]
Divide by 4
[tex]16 = (2k + 1) \times 6[/tex]
Divide by 6
[tex]\frac{16}{6} = (2k + 1)[/tex]
[tex]\frac{8}{3} = 2k + 1[/tex]
Subtract 2 from both sides
[tex]2k = \frac{8}{3} -1[/tex]
Take LCM
[tex]2k = \frac{8-3}{3}[/tex]
[tex]2k = \frac{5}{3}[/tex]
Divide by 2
[tex]k = \frac{5}{6}[/tex]
Hence, the value of k that makes the equation have 2 real and equal roots is [tex]k = \frac{5}{6}[/tex]
Read more about real and equal roots at:
https://brainly.com/question/2535040
find the slope of the line (-3,-2) (1,6)
Answer:
slope = 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, - 2) and (x₂, y₂ ) = (1, 6)
m = [tex]\frac{6-(-2)}{1-(-3)}[/tex] = [tex]\frac{6+2}{1+3}[/tex] = [tex]\frac{8}{4}[/tex] = 2
What is 2/6 times 1/6
Answer:
1/9
Step-by-step explanation:
2/6*1/6=2*1/6*6 or 1/9.
Answer:
1/18
Step-by-step explanation:
1. multiply across
2*1 and 6*6
2/36
2. divide by 2 to simplify
2/2 and 36/2
1/18
