item 6 for what value of a is 8x−8+3ax=5ax−2a an identity?

Answers

Answer 1

Let's rewrite the expression as

[tex] 8x+3ax-5ax = 8-2a \iff 8x - 2ax = 8-2a \iff 2x(4-a) = 2(4-a) [/tex]

So, if [tex] a \neq 4 [/tex], you may divide both sides by [tex] 4-a [/tex], the equation becomes [tex] 2x=2 [/tex], and the only solution is [tex] x=1 [/tex], which means that this is not an identity (an indentity is tautologically true, no matter the value of x).

If instead [tex] a = 4 [/tex], you are multiplying both sides by zero, so the equation becomes

[tex] 2x \cdot 0 = 2 \cdot 0 \iff 0=0 [/tex]

So, it doesn't matter which value for x you choose, because you will always end up with [tex] 0=0 [/tex], which is obviously always true.


Related Questions

10 ≥ 9 + v

Please show work!

Answers

Remember to isolate the variable. Subtract 9 from both sides

10 (-9) ≥ 9 (-9) + v

10 - 9 ≥ v

Simplify. Combine like terms

1 ≥ v

1 ≥ v is your answer

hope this helps

10 ≥ 9 + v

Remember, we want to work out what v is, which means we need to get it alone one one side of the inequality.

Therefore, we need to minus 9 from both sides so that the v is isolated:

10 - 9 ≥ 9 + v - 9

The 10 - 9 becomes 1, and the 9 + v - 9 just becomes v as 9 - 9 cancels out to nothing:

1 ≥ v

Therefore, the answer is 1 ≥ v, or rather, v ≤ 1. (v is less than or equal to 1.)

Circumference of a circle with diameter of 12.5 feet??

Answers

Circumference =
[tex]\pi \: d[/tex]
[tex]\pi = 3.14[/tex]
So:

C = 3.14 × 12.5 feet
C = 39.25 feet

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!

Simplify: 12 + 10i +14i

Answers

Simplify: 12 + 10i +14i = 12 +24i

answer

B) 12 +24i

24i+12 thats pretty basic though


To determine when the coin will be worth $150, you can substitute 150 for y and solve for t. What value do you get for t when you do that?

Answers

Answer:

5.23 years, the time at which the coin has increased in value to $150.

Step-by-step explanation:

Use the exponential function f(t) = 4*2^t.

Substitute $150 for f(t):  $150 = 4*2^t.

Simplify this by dividing both sides by 4:  $150/4 = 2^t, or $37.50 = 2^t.

Next, solve for the value of t.  To do this, take the common log of both sides, obtaining:

log 37.50 = t*log 2.  Thus, t = [log 37.50] / [log 2].  Evaluate this using a calculator:

t = 1.57403 / 0.30103 = 5.23 time units.  For example, this could be 5.23 years.

Answer:

It will take about 17.7 years, or almost 18 years, for the coin to be worth $150.

Because the initial year was 2016, the coin is predicted to be worth $150 in 2034.

Step-by-step explanation:

calculate the mean, median,and mode

Answers

To calculate the median: you want to organize all the numbers in it's data so it should look like this:  2, 5, 5, 8, 10, 12, 18, 20.

Now that it is organized look for the middle number so 9 is our median. I got this by adding 8 + 10 which equals 18 then dividing it by 2. So anytime you have 2 middle numbers add them then divide it by 2 it will always be your median.

To determine the mode: look for the number the occurs the most. I only see two 5's so the answer is 5 for our mode.

To determine the mean: Add all the numbers together then divide it by how many numbers there are so there are 8 numbers divide it by 8 after we add them.

2+5+5+8+10+12+18+20= 80 divide it by 8 and it equals 10. So 10 is the mean.

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!

An on-line electronics store must sell at least $5000 worth of computers and printers per day. Each printer costs $350 and each computer costs $750. The store can ship a maximum of 20 items per day. Which system of inequalities models correctly the number of computers, c, and number printers, p, the store could sell per day?

Answers

"An on-line electronics store must sell at least $5000 worth of computers and printers per day"

The bold faced words tell us greater than or equal to 5000


"The store can ship a maximum of 20 items per day"

The bold faced words tell us less than or equal to 20


We can automatically eliminate A and B since they don't have EQUAL sign in them. From C and D, we choose D because it correctly attaches the price of printers and computers to the respective variables (printers is p & computers is q). Choice C does this wrong!


ANSWER: D

F (x) = -7x^2 g(x)=-35x^2+5
What transformations change the graph of f(x) to the graph of g(x)?
A. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 1/5 and translated down 5 units.
B. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 5
and translated down 5 units.
C.The graph of g(x) is the graph of f(x) stretched vertically by a factor of 1/5
and translated up 5 units.
D. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 5
and translated up 5 units.

Answers

Answer:

D

Step-by-step explanation:

hello!!! the correct answer for this problem is D

Answer:

D. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 5

and translated up 5 units.

Step-by-step explanation:

Leticia Cox is a biochemist. She is testing two different types of drugs that induce cell growth. She has selected two cultures of 1000 cells each. To culture A, she administers a drug that raises the number of cells by 200 each day and every day thereafter. Culture B gets a drug that increases cell growth by 8% each day and every day thereafter. Assuming no cells die, how many cells will have grown in each culture by the end of the seventh day? a. Culture A: 1400 cells Culture B: 713 cells c. Culture A: 713 cells Culture B: 1400 cells b. Culture A: 800 cells Culture B: 517 cells d. Culture A: 517 cells Culture B: 800 cells

Answers

1. Culture A.

Since the number of cells increases by 200 each day and every day thereafter, then after seven days the number of cells will increase by

[tex]200\cdot 7=1,400.[/tex]

2. Culture B.

The initial number of cells was 1,000. Since the number of cells increases 8% each day and every day thereafter, then after seven days the number of cells will be

[tex]1,000\cdot (1.08)^7\approx 1,713.[/tex]

The number of cells that have grown by the end of the seventh day is

1,713-1,000=713.

Answer: option A -- Culture A: 1400 cells Culture B: 713 cells

Answer:

A is correct: Culture A: 1400 cells

                    Culture B: 713 cells

Step-by-step explanation:

Correct on Edge 2020 Quiz

Please help!!! Important!!!! Sister needs help!!!!

Answers

Answer,

14

Explanation,

All you need to do is simplify,

15 - (-3) -4 = ?

15 - (-3) = 18

18 - 4 = 14


Hope this helps :-)

Find the minimum value of C=-2x+y subject to the following constraints x≥-5 x≤4 y≥-1 x≤3

Answers

Answer:

The minimum value of C is -9

Step-by-step explanation:

we have

[tex]C=-2x+y[/tex]

[tex]x\geq -5[/tex]

[tex]x\leq 4[/tex]

[tex]y\geq -1[/tex]

[tex]y\leq 3[/tex]

using a graphing tool

The solution is the shaded rectangle

see the attached figure

The vertices of the rectangle are the points

[tex](-5,3),(4,3),(4,-1),(-5,-1)[/tex]

To find the the minimum value of C, substitute the value of x and the value of y of each vertex and calculate the value of C, then compare the results

For [tex](-5,3)[/tex]

[tex]C=-2(-5)+3=13[/tex]

For [tex](4,3)[/tex]

[tex]C=-2(4)+3=-5[/tex]

For [tex](4,-1)[/tex]

[tex]C=-2(4)-1=-9[/tex]

For [tex](-5,-1)[/tex]

[tex]C=-2(-5)-1=9[/tex]

therefore

The minimum value of C is -9

31 points for the right answer if you DON'T KNOW Skip pass this

Answers

the answer might be >

Substitute x = 2 into each of the expressions

left: 6* 8  - 2(2) = 48 - 4 = 44

right: 6(5 +2) = 6(7) = 42

44 > 42

Answer

>

Dr. Jimenez found that after applying an antibiotic to bacteria, he observed only 90% of the bacteria left in the culture dish each hour. If the initial bacteria count was 100, what was the bacteria count after 5 hours? Round to the nearest whole number.

There were ___ bacteria after 5 hours.

Answers

Answer:
There were 59 bacteria after 5 hours.

The complete statement is:

There were 59 bacteria after 5 hours

The initial population of the bacteria is given as:

[tex]a =100[/tex]

The proportion left after each hour is given as:

[tex]b = 90\%[/tex]

An exponential function is represented as:

[tex]f(x) = ab^x[/tex]

Substitute values for (a) and (b)

[tex]f(x) = 100 \times (90\%)^x[/tex]

Express percentage as decimal

[tex]f(x) = 100 \times (0.9)^x[/tex]

After 5 hours, the value of x is 5

i.e. x = 5

So, we have:

[tex]f(x) = 100 \times (0.9)^5[/tex]

Evaluate the exponent

[tex]f(x) = 100 \times 0.59049[/tex]

Multiply

[tex]f(x) = 59.049[/tex]

Approximate

[tex]f(x) = 59[/tex]

Hence, there were 59 bacteria after 5 hours

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Why do you think the AA Similarity Postulate is introduced as a postulate and not a theorem?

Answers

I think AA similarity postulate was introduced as a postulate because it consigned a basic need for fulfilling the numbered theorems instead they could've better chose as a theorem, it was selected as a postulate with those needs only and not the theorem itself.

Hope helps ....

Need help please hurry DON'T TYPE AND ACT LIKE YOUR GONNA ANSWER THE QUESTION IF YOUR NOT GOING TO who ever gets it right i will give you the brainiest!
good luck!

Answers

[tex]x-intercept(\frac{26}{3},0)


y -intercept (0,\frac{13}{2} )[/tex]

y is a lil messed up in term of looks but meh


have a good day breh

Grady marks down some $4.59 pens to $4.09 for a week and then marks them back up to $4.59. Find the percent of increase and the percent of decrease to the nearest tenth. Are the percents of change the same for both price changes? If not, which is a greater change? Complete the explanation, and round your percents to the nearest tenth.

Answers

Final answer:

The percentage decrease in price from $4.59 to $4.09 is 10.9%, while the percentage increase from $4.09 to $4.59 is 12.2%. Therefore, the percentages of change are not the same and the percentage increase is a greater change.

Explanation:

To calculate the percentage decrease in price from $4.59 to $4.09, we subtract $4.09 from $4.59, then divide by the original price of $4.59, and multiply by 100: (($4.59 - $4.09) / $4.59) * 100 = 10.9%. Therefore, the percentage decrease is 10.9%.

For the percentage increase from $4.09 back to $4.59, we similarly subtract $4.09 from $4.59, divide by the 'new' original price of $4.09, and multiply by 100: (($4.59 - $4.09) / $4.09) * 100 = 12.2%. Therefore, the percentage increase is 12.2%.

The resultant decrease and increase percentages are not the same. The percentage increase of 12.2% is a greater change compared to the 10.9% decrease.

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What shows the correct substitution of the values a,b, and c from the equation 0=-3x^2-2x+6

Answers

When dealing with a quadratic equation, you usually assign the following name to the coefficients of the variables:

[tex] ax^2+bx+c=0 [/tex]

So, [tex] a [/tex] is the coefficient of [tex] x^2 [/tex], [tex] b [/tex] is the coefficient of [tex] x [/tex] and [tex] c [/tex] is the constant term.

In your case, the coefficient of [tex] x^2 [/tex] is -3, so [tex] a=-3 [/tex]

The coefficient of [tex] x [/tex] is -2, so [tex] b = -2 [/tex]

The constant term is 6, so [tex] c = 6 [/tex]

A group of hikers walks 2 miles east and then 1 mile north. After taking a break, they then hike 4 miles east to their final destination. What vector describes their hike from their starting position to their final destination? Let 1 unit represent 1 mile.

Answers

Answer:

Intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

Step-by-step explanation:

Required vector is consists of the two components

vx= 2+4=6 units  and vy= 1 unit and vx ⊥ vy

We will use Pythagorian theorem to find intensity of the vector v

v∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 units

The angle ∡α between vector and east direction we wil find with tanα

tanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

Good luck!!!

Answer:

The vector that describes their hike from their starting position to their final destination is  < 6, 1 >

Shaniqua has $45 in her wallet she spends $4 on snacks and $8 on a movie ticket what integer represents the change in the amount of money in shaniquas wallet how much money is left?

Answers

8+4=12

Since we are trying to find out how much was deducted from the wallet, make 12 negative

integer: -$12

45-12=33

$33 left

The integer shows the amount of money in Shaniqua's wallet is -12 and the money left will be $33

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The integer will be calculated as:-

The amount deducted is

8  +  4  =  12

Since we are trying to find out how much was deducted from the wallet, make 12 negative

integer:  -$12

45  -  12  =  $33

Therefore the integer shows the amount of money in Shaniqua's wallet is -12 and the money left will be $33.

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Which statement is true about polynomial 5s^6t^2 + 6st^9 - 8s^6t^2 - 6t^7 after it has been fully simplified?

Answers

The polynomial 55° + 6st - 85° - 6t has 4 terms and a degree of 10 after it has been fully simplified.

To determine the number of terms in a polynomial, count the separate algebraic expressions that are added or subtracted. In this case, the polynomial is composed of four distinct terms: 55°, 6st, -85°, and -6t.

Next, the degree of a term in a polynomial is the highest power of its variable. Examine each term to identify the variable and its corresponding exponent. The term 55° has a degree of 0 since any nonzero constant raised to the power of 0 is 1. Both 6st and -6t have a degree of 2, as the variables s and t are raised to the power of 1. Lastly, the term -85° has a degree of 1.

To find the overall degree of the polynomial, identify the term with the highest degree. In this case, it is the term 6st, which has a degree of 2. Therefore, the fully simplified polynomial has four terms and a degree of 2, making the correct statement: "It has 4 terms and a degree of 10."

Complete question :-

Which statement is true about the polynomial 55° + 6st-85°-6t after it has been fully simplified?
It has 3 terms and a degree of 9.
It has 3 terms and a degree of 10.
It has 4 terms and a degree of 9.
It has 4 terms and a degree of 10.

What is 3.56 * 10 with an exponent negative 5 in standard form

Answers

Answer: .0000356

Step-by-step explanation:

3.56 x 10⁻⁵

the exponent of 5 tells you to move the decimal 5 places

the negative sign tells you to move the decimal to the left.

Equation Given: 3.56 x 10^-5  

Simple Explanatio: Lets start with this 10^-5 since the exponents is a negative you must subtract the exponent from the base and after you do so this is what your left with -5 and now since we have done the work lets rewrite the answer as 3.56 x 10^-5 the equation may not be changed but that's how i was told to do it and now solve. The decimal in 3.56 will be moved to the left five times because this equation has an negative exponent not a positive so you should end up with the simple answer of 0.0000356

Hopefully this helps  ^0^

What would be the correct answer for my question, 25 divided by 715. I need an answer as soon as possible

Answers


[tex]25 \div 175 = 0.142857142[/tex]
In this case, the answer is 0.14 because you don't want to add all the numbers.

How do you work this problem? 5 - 2x = 0

Answers

Answer:

x = 5/2

Step-by-step explanation:

Isolate x by adding 2x to both sides, obtaining:  5 - 2x + 2x = 2x.  Then 5 = 2x, and dividing both sides by 2 results in x = 5/2.


Select from the drop-down menus to correctly complete the sentence.



The rule (x, y)→(x+2, y−4) represents a translation 2 units CHOOSE.. and 4 units CHOOSE..


Left
Right
Up
Down

Answers

Answer:

for anyone in the future that needs this the answer is The rule (x,y) ----> (x+2, y-4) represents a translation 2 units RIGHT and 4 units DOWN

Step-by-step explanation:


A translation is a transformation that moves every point in a figure in the same direction by the same amount. The rule (x, y)→(x+2, y−4) represents a translation of 2 units right and 4 units downwards

What is translation?

A translation is a transformation that moves every point in a figure in the same direction by the same amount. It is also a sort of transformation in which each point in a figure is moved the same distance in the same direction resulting in the same figure again.

For any graph, if the value of x is increased it moves in the right direction while it moves in the left direction if the value is decreased.

Similarly, For any graph, if the value of y is increased it moves upwards while it moves in downwards if the value is decreased.

Now, as per the given rule of transformation, (x, y)→(x+2, y−4), the graph will translate 2 units right and 4 units downwards.

Hence, The rule (x, y)→(x+2, y−4) represents a translation 2 units right and 4 units downwards.

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Given that m∠BDC = 47°, m∠CAB = 52°, and m∠BEC = 99°
Is there enough evidence to prove that . If so, explain.
(3 points)

Answers

The given figure is a rectangle.

Given angles are- m∠BDC = 47°, m∠CAB = 52°, and m∠BEC = 99°

The sum of the angles m∠BDC = 47°, m∠CAB = 52° is the measure of  m∠BEC  which is 99°

This is sufficient to prove. Measure of angle A and D are 90 degrees each as they are right angles triangles. So, inner angle A is 90-52 = 38 degrees. Inner angle D will be    90-47  =43 degrees.

Measure of triangle AED = 180 degrees

Let inner E = x

then, 38+43+x=180

x=99 degrees

Outer E and inner are vertical angles and so, they are same.

Moreover, triangles AED and BEC are same so E is 99 degrees


HELP ASAP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!
chose the pieces with no symmetry

Answers

The answer would be the bottom left. You can't fold it in half and have it match up with the other side.

Four times a number increased by six is the same as seven times the number.

Answers

Call that number x.

Then rewrite as equation:

4x+6=7x

solve for x

6=3x

2=x

So the number is 2.

Check that 2 is the number by following the original wording, mentally.

Hey there!!

Let's take the number as 'x'

4 times the number is 4x

This is increased by 6

We will have to add 6.

... 4x + 6

7 times a number is 7x

... 7x

Both these values are equal.

Hence,

... 4x + 6 = 7x

... 6 = 3x

... x = 2

Hence, the number is 2.

if you subtract 20 from twice a number the result is six what is the number

Answers

Let x be the number you want to know. Then
[tex]2x - 20 = 6[/tex]
[tex]2x = 6 + 20[/tex]
[tex]x = \frac{6 + 20}{2} [/tex]
[tex]x = 13[/tex]
The number is 13

What are the domain and range of the function f(x) = -3 (x-5)^2 + 4?

Answers

Domain=all real numbers

Range is x≤4

Hope this helps :)


How many combinations exist of the letters w, x, y, z, taking two at a time?

Answers

The binomial coefficient

[tex] \displaystyle \binom{4}{2} = \dfrac{4!}{2!(4-2)!} = \dfrac{4\cdot 3}{2} = 2\cdot 3 = 6 [/tex]

Tells you that there are 6 ways of choosing a subset of two letters from the four given letters.

For each of these subsets there are two combinations (you can interchange the two letters: say that you choose the subset wz, you have the two combinations wz and zw)

So, there is a total of 12 combinations of the letters w, x, y, z, taking two at a time.

There are 6 ways of choosing a subset of two letters from the four given letters.

What is a combination?

The arrangement of the different things or numbers in a number of ways is called the combination.

For each of these subsets there are two combinations (you can interchange the two letters: say that you choose the subset wz, you have the two combinations wz and zw)

So, there is a total of 6 combinations of the letters w, x, y, z, taking two at a time.

The combination will be calculated as:-

[tex]^4C_2=\dfrac{4!}{2!(4-2)!}[/tex]

[tex]^4C_2=\dfrac{4\times 3}{2}[/tex]

[tex]^4C_2=6[/tex]

Therefore there are 6 ways of choosing a subset of two letters from the four given letters.

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Which equation represents a direct linear variation?

Answers

direct linear variation is a straight line in which the y intercept is 0

a- wrong because it is quadratic, not linear.

b- correct, linear with a y intercept of 0

c- wrong because its exponential

d- wrong, its linear but the y intercept is 3, not 0

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