Explain how you can tell if the expressions 7x – 4 and 6x – 4 – x are equivalent using the interactive tool.

ANSWER

(-5,1) is the correct answer

EXPLANATION

The given inequality is:

[tex]y \: > \: |x|- 6[/tex]

If any point satisfies this inequality, then it is a solution.

We need to substitute each point into the given inequality.

We substitute (-5,1) to get:

[tex]1\: > \: | - 5|- 6 \implies1\: > \: - 1[/tex]

This statement is true. Hence (-5,1) is a solution.

For (-1,-5), we have

[tex] - 5\: > \: | - 1|- 6 \implies - 5\: > \: - 5[/tex]

This is false.

For (5,-1), we have

[tex] - 1\: > \: | 5|- 6 \implies - 1\: > \: - 1[/tex]

This is also false.

Answer:

(-5,1) is the correct answer

Answer:

x=9

Step-by-step explanation:

we have been given the following proportion;

x/18 = 8.5/17

we are required to solve for x. In order to solve for x, we simply make x the subject on the left hand side . This can be done by multiplying both sides by 18;

(x/18)*18 = (8.5/17)*18

x = 153/17

x = 9

Answer:

9

Step-by-step explanation:

I attached an image doing it out

Answer:

y = -5

Step-by-step explanation:

Equation:

3( y - 2 ) = -21

3y - 6 = -21

3y = -21 + 6

3y = -15

y = [tex]\frac{-15}{3}[/tex]

y = -5

Final answer:

To calculate the temperature of the liquid after 7 hours, you can use Newton's cooling model. By plugging in the initial temperature, the surrounding temperature, and the cooling constant into the equation T = T0 + (T1 - T0) * e(-kt), you can calculate the temperature after 7 hours. In this case, the temperature after 7 hours is approximately 152.85°F.

Explanation:

In this problem, we can use Newton's cooling model to determine the temperature of the liquid after 7 hours. Newton's cooling model states that the rate of heat loss or gain is directly proportional to the temperature difference between the object and its surroundings. Using the equation T = T0 + (T1 - T0) * e(-kt), where T is the temperature at time t, T0 is the initial temperature, T1 is the surrounding temperature, k is the cooling constant, and e is the base of the natural logarithm, we can calculate the temperature after 7 hours.

Convert the initial temperature, the surrounding temperature, and the time to Kelvin.

Plug the values into the equation and calculate the temperature after 7 hours.

Using the given values of T0 = 170°F, T1 = 76°F, and k = 0.34, we can calculate the temperature after 7 hours.

T0 = 170°F + 459.67 = 629.67 K

T1 = 76°F + 459.67 = 535.67 K

T = 629.67 + (535.67 - 629.67) * e⁻°³⁴*⁷

T ≈ 152.85°F

Answer:

10x

Step-by-step explanation:

5x(2)

When this is simplified, the answer is 10x

5x(2)

5x multiplied by 2 is 10x

The answer is 10x

This is because 5x is being multiplied by 2. We know this because parentheses are one of the several symbols of multiplication.

Even though 5 has an x attached to it you can just ignore it for now, multiply 2 to the 5 then just reattach the x at the end of your answer

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

option A and B are correct.

Step-by-step explanation:

Given: [tex]p(t) = \frac{64}{1 + 11e^{-.08t} }[/tex]

Option A: [tex]\lim_{t \to \infty} \frac{64}{1 + 11e^{-.08(\infty)} }  = \frac{64}{1 + 0}  = 64[/tex]

Option A is true,

Option B: [tex]P(0) = \frac{64}{1 + 11}  = 5.33[/tex]

Option B is also true.

Option C:

[tex]P(t + 1) = \frac{64}{1 + 11e^{-.08(t + 1)} }  = \frac{64}{1 + 10.15e^{-.08t} } \\1.08 · P(t) = \frac{64 · 1.08 }{1 + 11e^{-.08t} }   = \frac{69.12}{1 + 11e^{-.08t} }[/tex]

P(t + 1) ≠ 1.08 · P(t)

Option C is incorrect.

Option D:  It is also incorrect, because according to option 2 earth's population will not grow exponentially without Bound.

solve it with a system

x=screwdriver

y=cutter

x+y=29

2x+15.2y=150.40

Answer:

[tex]JP=5\sqrt{3}\ cm[/tex]

Step-by-step explanation:

Connecting points O and E and points O and J, we get triangle EOJ. This triangle is equilateral triangle, because OJ=OE=JE=r=10 cm.

Since EP⊥IJ, then segment JP is the height of the triangle EOJ.

The height of the equilateral triangle can be found using formula

[tex]h=\dfrac{a\sqrt{3}}{2},[/tex]

where a is the side length.

So,

[tex]h=\dfrac{10\sqrt{3}}{2}=5\sqrt{3}\ cm.[/tex]

Answer:first one is dependent

second one is independent

Step-by-step explanation:

I do exercises on it

Answer:

1) (-2)+3

-2+3

=1

2) (-14)+(-7)

-14-7

=-21

3) 3-(-8)

3+8

=11

4) (-9)+14

-9+14

=5

5) (-8)-(-2)

-8+2

=-6

6) 5+(-8)

5-8

=-3

7) (-27)-24

-27-24

=-51

8) (-41)+(-40)

-41-40

=-81

9) 38-(-17)

38+17

=55

10) (-44)+(-9)

-44-9

=-53

11) (-16)-(-36)

-16+36

=20

12) (-6)-24

-6-24

=-30

hope this helps :)

Answer:

(-4, -5) it gives the answer in the question

Step-by-step explanation:

Answer: odd

Step-by-step explanation:

A function is even if for any input value x and -x there is the same output value y. In other words, a function is even if:

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

A function is odd if it is true that:

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

Then we must test if [tex]f(-x) = f(x)[/tex] for the function: [tex]f(x)=-2x - 5x[/tex]

[tex]f(-x)=-2(-x) - 5(-x)[/tex]

[tex]f(-x)=2x + 5x[/tex]

So [tex]f(-x) \neq f(x)[/tex]

The function is not even

Now we must test if [tex]f (-x) = -f (x)[/tex] for the function.

[tex]f(-x)=-2(-x) - 5(-x)[/tex]

[tex]f(-x)=2x + 5x[/tex]

[tex]f(-x)=-(-2x -5x)[/tex]  and  [tex]f(x)=-2x - 5x[/tex]

So [tex]f(-x) = -f(x)[/tex]  

Finally the function is odd

Answer: meow 1. −6z + 13 = −11z − 7

2. 6 + 17z = 13z + 18

3. 4

5 k – 5 = –7 +

2

5 k

4. − 4

5 w +

1

4 =

1

5 +

1

3 w

5. 15(−42x + 40) = 15(−8x + 244)

6. 4 – 3

5 (3a + 4) = 7

7. 1

2 (15 + 7d) = − d

Step-by-step explanation:

Answer:

The amount of money David spent is $115.

Step-by-step explanation:

Consider the provided information.

David had $350. After shopping, he was left with $235.

Let the money spent by David is c.

As some money are spent from the total amount, So use a "-" sign and put the equation equals to 235, as this is the amount he left with.

The equation can be represented as:

350 - c = 235

Now simplify the above equation in order to find the money spent by David.

Isolate the variable by adding c and subtracting 235 from both sides.

350 - c + c -235 = 235 + c -235

115 =  c

Hence, the amount of money David spent is $115.

Answer:

True, ∠1 and ∠2 are adjacent angles. True

Explanation:

Definition of adjacent angles: Two angles are called adjacent angles if

1. They have a common side

2. Common vertex (corner point)

3. They don't overlap.  

Further Explanation:

In the given figure two lines are intersecting each other and form 4 angles, ∠1, ∠2, ∠3  and ∠4.

From the given figure it is clear that, the common vertex of all angles is the point of intersection of both lines. The pairs of adjacent angles are

(i) ∠1 and ∠2

(ii) ∠2  and ∠3

(iii) ∠3  and ∠4

(iv) ∠1  and ∠4

Therefore, ∠1 and ∠2 are adjacent angles and the given statement is true.

Learn More:

Adjacent angles :  https://brainly.com/question/11933939  (Answered by MollieToliver)

Adjacent angles :  https://brainly.com/question/12256805  (Answered by ApusApus)

Keywords:

Adjacent angles, Intersection of two lines.

When we have an intersection of two lines, four angles are created in that intersection.

With this, we define two adjacent angles as a pair of angles that is separated by one of the lines.

In the image, we can see that:

∠1 and ∠2 are adjacent

∠2 and ∠3 are adjacent

∠3 and ∠4 are adjacent

∠4 and ∠1 are adjacent.

Then the statement:

"∠1 and ∠2 are adjacent"

Is true, by definition of adjacent angles.

If you want to learn more, you can read:

https://brainly.com/question/12838185

Answer:

68°

Step-by-step explanation:

We know that sum of 3 angles in a triangle is 180°.

In  ΔBAC, there are angles B, A, and C. Thus we can say:

B + A + C = 180

Since, BC is tangent to circle, the point of tangency, B is a 90 degree angle. So angle B is 90.

Also, given angle CAB is 22, which, in other word, is angle A is 22.

Thus, we can write:

B + A + C = 180

90 + 22 + C = 180

112 + C = 180

C = 180 - 112 = 68

Measure of angle ACB = 68°

The measure of angle ACB is 68°.

We know that sum of 3 angles in a triangle is 180°.

In  ΔBAC, there are angles B, A, and C. Thus we can say:

B + A + C = 180

Since, BC is tangent to circle, the point of tangency, B is a 90 degree angle. So angle B is 90.

Also, given angle CAB is 22, which, in other word, is angle A is 22.

Thus, we can write:

B + A + C = 180

90 + 22 + C = 180

112 + C = 180

C = 180 - 112 = 68

Answer: $360

Step-by-step explanation:

Let Mp the manufacturing price.

First step:

Manufacturer sells at a profit of 25% = Mp + Mp·0.25 = Mp·1.25

Second step:

Agency sells at a profit of 10% = 1.25Mp + 1.25Mp·0.10 = Mp·1.375

Third step:

Shopkeeper sells at a profit of 20% = 1.375Mp + 1.375Mp·0.20 = Mp·1.65

Then the final price = 1.65·Mp

1.65Mp = $594

Mp = $594/1.65 = $360 ►Manufacturer price

Answer: $360

Verification

Manufacturer sells at a profit of 25% = 25/100 = 0.25:

$360 + $360·0.25 = $360(1 + 0.25) = $360 + $90 = $450

Agency sells at a profit of 10% = 10/100 = 0.10:

$450 + $450·0.10 = $450(1 + 0.10) = $450 + $45 = $495

Shopkeeper sells at a profit of 20% = 20/100 = 0.20

$495 + $495·0.20 = $495(1 + 0.20) = $495 + $99 = $594 Checked!

[tex]\textit{\textbf{Spymore}}[/tex]

Answer: 0.43

Step-by-step explanation:   if you ever need help like this for percentages again i just use this website its reallyyyy helpful :)       https://percentagecalculator.net/

Final answer:

The binomial equivalent to (xy + z)(xy - z) is found by applying the difference of squares formula, resulting in x²y² - z².

Explanation:

The question asks which binomial is equivalent to the expression (xy + z)(xy - z). This can be simplified using the difference of squares formula, which is a² - b² = (a + b)(a - b). In this case, a is xy and b is z.

Applying the formula, we have:

First, square a: (xy)² = x²y²

Then, square b: z²

Subtract the square of b from the square of a to get the answer: x²y² - z²

Therefore, the binomial equivalent to (xy + z)(xy - z) is x²y² - z².

Answer:

A

Step-by-step explanation:

y=4x+5

x=4y+5

4y+5=x

4y+5-5=x-5

4y=x-5

4y/4= x/4 - 5/4

y= x-5/4

To find the inverse of the function f(x) = 4x + 5, switch x and y in the equation, then solve for y to get the inverse function, which is f-1(x) = (x - 5) / 4.

To find the inverse of the function f(x) = 4x + 5, you would follow these steps:

This inverse function will satisfy the condition that f(f-1(x)) = x and f-1(f(x)) = x, which is the defining property of an inverse function.

Answer:

Step-by-step explanation:

DDD

DDC

CDD

CCC

CCD

DCC

The difference between the ratio 5:3 is 2 ( 5-3 = 2)

Nick gets 2 extra shares which is equal to £26

1 share = 26 / 2 = 13

June gets 3 shares: 3 x 13 = £39

June gets 3 shares: 3 x 13 is equal to the $39.

Nick and June win some money and share it in the ratio of 5:3.

Nick gets $26 more than June.

The word difference is the result of subtracting one number from another.

The difference between the ratio of 5:3 is 2 ( 5-3 = 2)

Nick gets 2 extra shares which is equal to $26.

1 share = 26 / 2 = 13

June gets 3 shares: 3 x 13 is equal to the $39.

To learn more about the amount visit:

https://brainly.com/question/1153322

#SPJ2

Answer: The line represents a direct variation function.

Step-by-step explanation: Rest of them are not true. for 1 and 3, plug in the x and y value to the equation y=mx + b.

(x,y)

Answer:

{x while x ≠2, -2}

Step-by-step explanation:

First let's define domain,

Domain is the set of all values on which the function is defined i.e. the function doesn't approach to infinity.

Given function is:

[tex]y = \frac{2x-4}{x^{2} -4}[/tex]

We will look for all the values of x on which the function will become undefined:

We can see that x= 2 and x=-2 will make the denominator zero as there is x^2 involved. The denominator zero will make the function undefined.

So, the domain of the function is set of all real numbers except 2 nd -2 {x while x ≠2, -2} ..

Answer:

[tex](-\infty,-2)\cup (-2,2)\cup (2,+\infty)[/tex]

Step-by-step explanation:

The given rational expression is:

[tex]y=\frac{2x-4}{x^2-4}[/tex]

We factor this expression to obtain:

[tex]y=\frac{2(x-2)}{(x-2)(x+2)}[/tex]

We can see that, this rational function has a hole at x=2 and a vertical asymptote at x=-2

Therefore the domain is

[tex]x\ne 2\: and\:x\ne -2[/tex]

Or

[tex](-\infty,-2)\cup (-2,2)\cup (2,+\infty)[/tex]

Answer:

[tex]\large\boxed{x^3-5x^2+8x-6}[/tex]

Step-by-step explanation:

[tex]f(x)=x^2-2x+2\\\\g(x)=x-3\\\\f(x)\cdot g(x)=(x^2-2x+2)(x-3)\qquad\text{use}\ \bold{FOIL}:\ (a+b)(c+d)=ac+ad+bc+bd\\\\f(x)\cdot g(x)=(x^2)(x)+(x^2)(-3)+(-2x)(x)+(-2x)(-3)+(2)(x)+(2)(-3)\\\\f(x)\cdot g(x)=x^3-3x^2-2x^2+6x+2x-6\qquad\text{combine like terms}\\\\f(x)\cdot g(x)=x^3+(-3x^2-2x^2)+(6x+2x)-6\\\\f(x)\cdot g(x)=x^3-5x^2+8x-6[/tex]

Answer:

D) >20% are in favor

Step-by-step explanation:

Process of elimination:

Not C, since the same number is undecided for each

Not A, since more people are undecided

Not B, since 60 students decided compared to 40 undecided

The answer is D, since 25/100 = 25% of students are in favor

Answer:

Solution x = - 1

Step-by-step explanation:

3 / (2x+1) = 9 / 3x

Cross multiply

3(3x) = 9(2x + 1)

Distributive property

9x = 18x + 9

Subtract 18x from both sides

-9x = 9

Divide both sides by -9

x = -1

Answer:

[tex]\frac{1}{25}[/tex]

Step-by-step explanation:

note that (5x)³ = 5³x³ = 125x³

Hence

[tex]\frac{5x^3}{125x^3}[/tex]

Cancel the x³ on numerator/denominator and divide the 5 and 125 by 5

= [tex]\frac{1}{25}[/tex] ← in simplified form

Answer:

So i believe the answer is 2.

Step-by-step explanation:

The common denominator? Right? If so

2: 1 and 2

8: 1,8,2, and 4

14: 1,14,2, and 7

20:,1,20,2,10,4, and 5

26:1,26,13, and 2

Hope my answer has helped you!

Answer:

+ 6

Step-by-step explanation:

The constant term in the function is the term which is only numeric and has no variable attached to it.

f(y) = 8y² - 7y + 6 → has constant term + 6

Answer:

B

Step-by-step explanation:

V=4/3 x 3.14 x 3^3

V= 113.04

SA= 4 x 3.14 x 3^2

SA= 113.04

Answer:

The answer is V=SA

Step-by-step explanation:

V=4/3 x 3.14 x 3^3

V= 113.04

SA= 4 x 3.14 x 3^2

SA= 113.04

So the relationship should be V=SA, because the equaled amount on both ends was the same.