Answers
Answer:
The negative numbers do not have square roots. Therefore the question does not have a solution. That is where Julie made a mistake.
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
First, let's take a look at this property:
[tex] \displaystyle \large{ \sqrt{a} \sqrt{b} = \sqrt{ab} }[/tex]
This only works for a and b ≥ 0.
As for a & b < 0 which results in Imaginary Number, we have to convert in 'i' form.
We know that:-
[tex] \displaystyle \large{ i = \sqrt{ - 1} }[/tex]
Thus:
[tex] \displaystyle \large{ \sqrt{ - 3} \cdot \sqrt{ - 12} = \sqrt{3} i \cdot \sqrt{12}i }[/tex]
Then we can multiply 12 & 3 in square root.
[tex] \displaystyle \large{ \sqrt{ - 3} \cdot \sqrt{ - 12} = \sqrt{36} {i}^{2} }[/tex]
We know that:
[tex] \displaystyle \large{ {i}^{2} = - 1}[/tex]
Convert i^2 to -1
[tex] \displaystyle \large{ \sqrt{ - 3} \cdot \sqrt{ - 12} = \sqrt{36}( - 1) } \\ \displaystyle \large{ \sqrt{ - 3} \cdot \sqrt{ - 12} = - \sqrt{36}}[/tex]
Then evaluate √36 which is 6.
[tex] \displaystyle \large{ \sqrt{ - 3} \cdot \sqrt{ - 12} = - 6}[/tex]
Therefore the answer should be -6.
Conclusion
Julie cannot use the √a√b = √ab property first because a & b both are < 0 and the property applies for a ≥ 0, b ≥ 0.
Related Questions
Given the function g(x) = x2 + 5x + 1, determine the average rate of change of
the function over the interval -5 < x < 4.
Answers
Step-by-step explanation:
the average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
so,
(g(4) - g(-5)) / (4 - -5)
g(4) = 4² + 5×4 + 1 = 37
g(-5) = (-5)² + 5×-5 + 1 = 25 - 25 + 1 = 1
4 - -5 = 4 + 5 = 9
(37 - 1)/9 = 36/9 = 4
the average change rate in that interval is 4 (or fully 4/1).
Please help and do a step by step thank you!
Answers
Answer:
y= -3x +10
Step-by-step explanation:y = mx +b where
m is your slope rise/run and
b is the y intercept
Please help!What are the values of x and y? i’m so confused on this particular one.
Answers
-14. -14
X=2x-20
-2x -2x
-2x=-20
/-2 /-2
X=10
Y is also 10 because they are corresponding
please help me I need this done
Answers
The purpose of this form is so that your employer can withhold the correct amount of federal income tax from your pay.
I-9 form
W-4
application
Time Sheet
Answers
Brownies sell for $.75
and cookies sell for $.40. If
Brady wants 3 brownies and 2
cookies. He brought $3. Does
Brady have enough money to
buy the treats? NO LINKS PLEASE
Answers
Answer:
No
Brady is 5 cents short
Step-by-step explanation:
.75x3=$2.25
.40x2=0.80
$2.25+0.80=$3.05
Answer:
No
Step-by-step explanation:
3 brownies = $.75 * 3 = $2.25
2 cookies = $.40 * 2 = $.80
$2.25 + $.80 = $3.05, which is over $3
He is 5 cents short.
Hope this helped!
(and taxes of course)
I think of a number. Then I multiply it by 3. Then I add 4. Then I divide the answer by 4. My final answer is 3 less than the number I thought of at the beggining.
Whats the alegbrac equation?
Solve the probelm to find the number at the start.
Answers
Answer:
(3n+4)/4 = n-3
Step-by-step explanation:
n = original number
n = 16
The algebraic inequality will be (3x + 4) / 4 > 3. Then the value of x will be greater than 8/3.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
I think of a number.
Let the number be 'x'.
Then I multiply it by 3. Then the expression will be
⇒ 3x
Then I add 4. Then the expression will be
⇒ 3x + 4
Then I divide the answer by 4. Then the expression will be
⇒ (3x + 4) / 4
My final answer is 3 less than the number I thought of at the beginning. Then we have
(3x + 4) / 4 > 3
Simplify the equation, then the value x will be
(3x + 4) / 4 > 3
3x + 4 > 12
3x > 8
x > 8/3
The algebraic inequality will be (3x + 4) / 4 > 3. Then the value of x will be greater than 8/3.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ2
Plzzzzzz help
Use the graph to answer the questions.
At what elevation did Julio begin?
At what elevation did Kathy begin?
Elevation (miles)
Who made it to 8 miles first?
Who experienced a greater elevation change?
Answers
Kathy began at and elevation of 0 miles.
Kathy made it to 8 miles first.
Kathy experienced a greater elevation change.
(-9+5) = (12 – 10)
help pls
Answers
Answer:
-4 = 2
Step-by-step explanation:
Answer:
-4 = 2
Step-by-step explanation:
What is transversal?
Answers
Answer:
A transversal is a line that intersects two parallel lines .like shown in the diagram above hope it is helpful to you please follow give brainliest ✌❣❣
please help i need to solve for c by setting up an equation and then solving the equation
Answers
Answer:
x = 63.34 degree
Step-by-step explanation:
2x-10 + x = 180 as al straight lines add up to 180 degrees
3x -10 = 180
+ 10 +10
3x = 190 add 10 to both sides as shown to cancel left side
x = 190/3
x = 63.33334 degree to 5 dp
x = 63.34 degree to 2 dp.
what is the answer to 10x+3x
Answers
Answer:
refer to the attachment
Step-by-step explanation:
hope that helps
Answer: 13x because you can combine them together because they both have the same variable.
Identify two statements that contradict each other.
I. ZM is an obtuse angle.
II. m ZM +mZP= 90
III. 180 – mZM = 25
IV. mZP= 120
Answers
If ZM is an obtuse angle (greater than 90), then ZM and ZP will not add up to 90.
If ZP is 120, then ZM and ZP will not add up to 90.
There are multiple contradicting statements within this problem, as noted above.
Hope this helps!
Options A and B are two contradict statements.
The four statement are given, we need to find the two contradict statements.
What is an obtuse angle?The definition of an obtuse angle in geometry states that 'an angle whose measure is greater than 90° and less than 180° is called an obtuse angle.
Here, m∠M is an obtuse angle and m∠M +m∠P= 90° are two contradict statements
Since, in m∠M +m∠P= 90° two angles adds up to 90°, so m∠M can not be obtuse angle.
Therefore, options A and B are two contradict statements.
Learn more about an obtuse angle here:
https://brainly.com/question/4022946.
#SPJ2
What is the value of x?
(The diagram)..
Answers
10
Step-by-step explanation:
x + 5 = 2x - 5
x + 5 - x = 2x - 5 - x
5 = x - 5
5 + 5 = x
10 = x
Answer:
The value of X is 10
Step-by-step explanation:
X+5=2x-5(corresponding sides of an angle)
5+5=2x-x
10=x
So,x=10
The following expression can be solved in 5 steps using the rules of order of operations. Write the step by step solution in the spaces provided below: [(-2)²×3]÷[(-9)-5+2]Note: You may copy the question from the previous step and replace the operation performed with the result. For example, given the question 4²-6×2, you would copy the question and replace the index term in step 1: 16-6×2. For step 2, you copy the expression from step 1 and replace the product to get: 16-12. In step 3, you only have one operation left to perform so you just need to write the final answer: 4
Answers
Answer:
Step-by-step explanation:
[(-2)²×3]÷[(-9)-5+2]
=(4*3)/[(-9)-5+2]
=12/(-12)
=-1
graph this line using the slope and y intercept: y=x
Answers
Answer:
done.
Step-by-step explanation:
yeah-ya..... right?
20 POINTS
Look at the figure. How can you prove AABD and AACD are congruent?
is it
A)
B)
C)
Answers
I beileve the anwser is A
Identify if the relation is a function & explain your answer (help please ! it’s due at 11:59) !! Tysmm
Answers
Answer:
yes it is a function
Step-by-step explanation:
reason why is if u do the virtical line text it shows that it is a function,
another explanation is it doesn't have two of the same x- values
The price p in dollars and the quantity x sold of a certain product obey the demand equation -1/5x+100 (0≤ x ≤ 500)
a) Express the revenue R as a function of x. (remember, R= p.x)
b) What is the revenue if 200 units are sold?
c) What quantity x that maximizes the revenue?
e) What price should the company charge to maximize revenue?
Answers
Answer:
See belowStep-by-step explanation:
We have:
p = -1/5x + 100 = -0.2x + 100a) The revenue is:
R = px R = x( -0.2x + 100)R= -0.2x² + 100xb) x = 200, find R:
R = -0.2(200²) + 100(200) = 12000c) This is a quadratic function and the maximum value is obtained at vertex.
x = -100/(-0.2*2) = 250 is the required quantityd) The max revenue is obtained when -0.2x + 100 at max:
The maximum possible is p = 100 when x = 0write the equation of the line that passes through the points (8, 2) and (0, 6)
Answers
Answer:
Step-by-step explanation:
m = (y2 - y1)/(x2-x1)
m = (6-2)/(0-8)
m = 4/-8
m = -1/2
y = mx + b
(2) = (-1/2)(8) + b
2 = -4 + b
b = 6
equation of the line is:
y = (-1/2)x + 6
kelsey withdraws $25 per week from her bank account. Each week, Kris deposits $15 of his allowance and $20 earned from dog walking each week into his bank account. After how many weeks will they have the same amount of money
Answers
Answer:
Step-by-step explanation:
If 8% of a number equals 30, find 40% of that number.
Answers
If 8% of a number equals 30, 40% of that number 150.
The percentage of a given number is the fraction of that number divided by 100.
Let assume that the unknown number is (a).
So, 8% of a = 30.i.e.
0.08a = 30Making (a) the subject of the formula now;
a = 30/0.08a = 375Now, we are meant to determine the 40% of that unknown number (a)
Since (a) has been determined to be 375.
Then, 40% of 375 is calculated as:
[tex]\mathbf{=\dfrac{40}{100} \times 375}[/tex]= 150Learn more about percentage here:
https://brainly.com/question/2155156?referrer=searchResults
how do you do this math problem 3(x-2)=9
Answers
Answer:
x=5
Step-by-step explanation:
3(x-2)=9
3x-6=9
3x=9+6
=15
x=15÷3
=5
Distribute the 3
3x-6=9
-6 -6
3x=3
X=1
half of a number gives twelve
1/2x + 12 or x/2=12
Answers
Answer:
24
Step-by-step explanation:
1/2(24) = 12
and/or
24/2 = 12
Is this what you wanted?
Evaluate: log(a³b²/c⁴) + log(bc³/a²) - log(a/c) = ?
Answers
[tex]\large\underline{\sf{Solution-}}[/tex]
We have to evaluate the logarithm.
Given That:
[tex] \rm = \log \bigg( \dfrac{ {a}^{3} {b}^{2} }{ {c}^{4} } \bigg) + \log \bigg( \dfrac{b {c}^{3} }{ {a}^{2} } \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]
We know that:
[tex] \rm\red\longmapsto \log(x) + \log(y) = \log(xy) [/tex]
[tex] \rm \red\longmapsto \log(x) - \log(y) = \log \bigg( \dfrac{x}{y} \bigg) [/tex]
Therefore, we get:
[tex] \rm = \log \bigg( \dfrac{ {a}^{3} {b}^{2} }{ {c}^{4} } \times \dfrac{b {c}^{3} }{ {a}^{2} } \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]
[tex] \rm = \log \bigg( \dfrac{ {a}^{3 - 2} {b}^{2 + 1} }{ {c}^{4 - 3} } \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]
[tex] \rm = \log \bigg( \dfrac{a{b}^{3} }{c} \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]
[tex] \rm = \log \bigg( \dfrac{a{b}^{3} }{c} \div \dfrac{a}{c} \bigg)[/tex]
[tex] \rm = \log \bigg( \dfrac{a{b}^{3} }{c} \times \dfrac{c}{a} \bigg)[/tex]
[tex] \rm = \log( {b}^{3})[/tex]
As we know that:
[tex]\rm \red\longmapsto \log( {x}^{n}) = n \log(x)[/tex]
Therefore, we get:
[tex] \rm = 3\log(b)[/tex]
What is 7/56 simplified
Answers
Answer:
1/8
Step-by-step explanation:
BOOM!
Answer:
1/8
Step-by-step explanation:
broken down into fractions 1/8 is the simplest answer
Ten percent of the cost of a swimming pool is $430. How much does the swimming pool cost?
Answers
If x 2 = x, then x = 1 true or false?
Answers
Answer:
False
Step-by-step explanation:
If x * 2 = x, and you use 1 as the insert for x, then you would be saying that 1 * 2 = 1, and that is incorrect.
Answer:
I assume the value is x² right from the qn.
With that
x² = x
if x = 1
then
1² = 1
hence the value is true.
what is the sum of 3 - 2i and -5 + 6i?
Answers
Answer: -2 + 4i
Step-by-step explanation: I'm pretty sure you can't get the sum, but you can simplify the problem. All you need to do is combine like terms. -2i and 6i = 4i. 3 - 5 = -2.
plsss someone help i will give brainlyest
i need help with the photo
Answers
Answer: (n^6 j^6)/(8h^5)
Step-by-step explanation:
The k term disappears (k^5 * k^-5) = 1j^-6 moves to the top as j^6(h^-2)/((h^-6)*(h^3)) = 1/h^51/(2*2*2) = 1/8Therefore: n^6*j^6/8h^5