Apply the distributive property to create an equivalent expression

what is that? Or I am not understanding

Answer:

([tex]6 - \sqrt{31}[/tex], [tex]6 + \sqrt{31}[/tex])

Step-by-step explanation:

[tex]x^{2}-12x+5 < 0[/tex]

To solve this inequality, we can start by completing the square.  To do this, we divide the x coefficient (-12) by 2 and then square it.  We then add the result to the left side of the equation.  To ensure the inequality remains true, we also subtract it.

[tex]x^{2}-12x+(-6^{2})-(-6^{2}) + 5 < 0\\x^{2}-12x+36-36 + 5 < 0\\[/tex]

We can then express the first trinomial as a perfect square.

[tex](x-6)^{2} - 31 < 0[/tex]

Add 31 to both sides:

[tex](x-6)^{2}< 31[/tex]

Then take the square root of both sides:

[tex]x-6<[/tex] ± [tex]\sqrt{31}[/tex]

Finally, add 6 to both sides:

x < 6 + [tex]\sqrt{31}[/tex]

x > 6 - [tex]\sqrt{31}[/tex]

The solution to the inequality in interval notation is shown by option A

An inequality in mathematics describes how two expressions relate to one another by indicating whether one expression is greater, smaller, equal to, or not equal to the other.  Inequalities are denoted by symbols.

We have to use the quadratic formula that states that;

x < (-b ± √([tex]b^2[/tex] - 4ac)) / 2a

So we have that;

x < [12 ± √([tex](-12)^2[/tex] - 4 * 1 * 5)] / 2 * 1

Thus we would obtain in the end;

6 - √31 < x < 6 + √31

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Answer:

Step-by-step explanation:

Given system:

Divide both sides of the second equation:

We got both equations same.

It means the lines representing the equations overlap, the system has infinitely many solutions.

Answer:

g(x) = x(x-2)^2(x-3) -3

Step-by-step explanation:

the translation from f(x) to g(x) is right 1 down 3.

vertical translations are easier since you just add the amount to everything. so we have f(x) - 3 = (x-1)^2(x-2)(x+1) -3.

for the horizontal translation, we make every x into x-1, so now we have (x-1-1)^2 (x-1-2) (x-1+1) - 3 or (x-2)^2(x-3)x -3

looking at the answers it is g(x) = x(x-2)^2(x-3) -3

[tex]x = - \frac{2 \sqrt{3} + 12 }{11} [/tex]

hope it helps

see the attachment for explanation

[tex] \: [/tex]

Answer:

false

Step-by-step explanation:

-1/8 = -0.125

-1/10 = -0.100

as it is negative  

-0.125 < -0.1

so it is false

Answer:

42.5 inches

Step-by-step explanation:

Ivan is 75 inches tall, and Logan would be half his size, 37.5 that is, if he were 5 inches shorter. That means logan is 42.5 inches.

Answer:

Logan is 42.5 inches

Step-by-step explanation:

half of Ivan is 37.5

Logan is 5 inches taller than 37.5 so 42.5

Hope this helps!

Let me know if it does and if the answer is right

Answer:

3. (X-6)(X-6)

Answer: X=11

Step-by-step explanation:

Add 7 to both sides of the equation     4x-7=2x+15

4x-7+7=2x+15+7

Simplify

Add the numbers :4x -7 + 7 = 2 x + 15 + 7

Add the numbers:4 x = 2x + 15+7

down

4x=2x+22

Subtract

2 2 x 2 x from both sides of the equation

4 x = 2x +22   4x - 2x = 2x +22- 2x

Simplify

2x = 2x +22-2x

Divide both sides of the equation by the same term

2x = 22 2x/ = 22/2 x =22/2x =22/2  x=11

Answer:

4-1

Step-by-step explanation:

i think thats right

Answer:

Step-by-step explanation:

A. Zero Slope: since it is horizontal

B. Positive Slope: since it goes up and to the right

C. Undefined Slope: since it is vertical

D. Negative Slope: since it goes down and to the left

Answer:

$158.67

Step-by-step explanation:

Answer:

4x + 2y ≤ 20

Step-by-step explanation:

x = burger

y = fries

a.    4x + 2y ≤ 20      at most means ≤

Answer:

4.4

Step-by-step explanation:

4 (4.4) ≥ 18 does not make sense. 4 x 4.4 = 17.6, which is not more than or equal to 18.

Answer:

Step-by-step explanation:

Check the picture below.

True

One from of the linear function is Y =  mx + b where b is the y intercept.

The y intercept is where x is 0 so it would be at (0,6)

Answer:

Step-by-step explanation:

List out multiples for both 3.75 and 4.5

3.75+3.75=7.5

7.5+3.75=11.25

11.25+3.75=15

15+3.75=18.75

18.75+3.75=22.5

4.5+4.5=9

9+4.5=13.5

13.5+4.5=18

18+4.5=22.5

At 22.5 days will both computers scan at the same time

If computer A runs a virus scan every 3.75 days. Computer B runs a virus scan every 4.5 days. It takes 22.5 days to be until both computers to run a virus scan at the same time again

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, two computers just scanned for viruses at the same time. Computer A runs a virus scan every 3.75 days. Computer B runs a virus scan every 4.5 days.

We have to add the multiples of 3.75 days for computer A as,

3.75+3.75=7.5

7.5+3.75=11.25

11.25+3.75=15

15+3.75=18.75

18.75+3.75=22.5

For computer B

4.5+4.5=9

9+4.5=13.5

13.5+4.5=18

18+4.5=22.5

22.5 is the common multiple for both cases,

Thus, if computer A runs a virus scan every 3.75 days. Computer B runs a virus scan every 4.5 days. It takes 22.5 days to be until both computers to run a virus scan at the same time again.

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Answer:

c

Step-by-step explanation:

because the rest are just way off

Answer:

The answer is C, bro

Step-by-step explanation:

hope this helped.

Answer:

jokes aside it is 19

Step-by-step explanation:

but if it is jokes then 21

Answer:

Step-by-step explanation:

the answer would be 21

Given polynomial:

(4x²-3x+7) - (x²+8x-5)

⇛ 4x²-3x+7-x²-8x+5

⇛ (4x²-x²) +(-3x-8x)+(7+5)

⇛ (4-1)x²+(-3-8)x+12

⇛ 3x²+(-11)x+12

⇛ 3x²-11x+12

Note:-

When subtracting two polynomials,change the symbols of the each term in the second polynomial which is subtracted from the first polynomial.

Read more:

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Answer:

[tex]3x^2-11x+12[/tex]

Step-by-step explanation:

First, distribute the negative:

[tex]4x^2-3x+7-x^2-8x+5[/tex]

Then combine like terms:

[tex]3x^2-11x+12[/tex]

Answer

your equation in part c is wrong

Step-by-step explanation:

part c

y=mx+c

11=2m+c-----------(1)

15=3m+c----------(2)

(2)-(1)

15-11=(3m+c)-(2m+c)

4=3m-2m+c-c

m=4

substitute in (1)

2m+c=11

2*4+c=11

8+c=11

c=3

so equation should be y=4x+3

The mode of the set score is 96

The correct answer is b) The mode of the set score is 96.

The "mean" is the "average" of the set of values.

The "median" is the "middle" value in the list of numbers.

The "mode" is the value that occurs most often.

Now the given scores on 5 Science test are,

96, 7, 82, 96 and 89

So, Sum of all the scores = 96+7+82+96+89= 370

Mean :

Mean = Sum of all the scores / Number of tests

⇒ Mean = 370 / 5

⇒ Mean = 74

Median :

Median is the middle value after rearrangement

So, rearranging the scores we get,

7, 82,) 89,( 96, 96

Hence the median of the scores is 89

Mode :

Mode is the number occurring the most. Since 96 occurs the most, hence the mode is 96.

Thus, from the given option, the correct option is b) The mode of the set score is 96

Hence, the correct answer is b) The mode of the set score is 96.

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Answer:

Celsius and Fahrenheit are two important temperature scales that are commonly misspelled as Celcius and Farenheit. The formula to find a Celsius temperature from Fahrenheit is: °F = (°C × 9/5) + 32 The formula to find a Fahrenheit temperature from Celsius is: °F = (°C × 9/5) + 32 The two temperature scales are equal at -40°.

Step-by-step explanation:

PA BRAINLIEST

Answer:

55

Step-by-step explanation:

180=35+90+m∠3

Answer:

(x^2-6)^2

Step-by-step explanation:

Answer:

(x2-6)^2

Step-by-step explanation:

I think that's the answer not sure

Answer:

(0,4) is the answer hope it helps

Answer:

1.)

a.)The correlation coefficient is determined by dividing the covariance by the product of the two variables' standard deviations.

b.)Medications such as naproxen, ibuprofen, and acetaminophen are most effective in reducing pain and swelling associated with muscle-related lower back pain. However, OTC medication is less likely to alleviate symptoms that stem from nerve compression or disc problems.

Step-by-step explanation:

I HOPE ITS HELP YOU