Given the function
[tex]f(x) = 3 |x + 2| - 4[/tex]
When will this function be greater than 0?​

Answer:

Each property is about an operation. Specifically, each property indicates that an equality is like a balance, if we operate one side, we must also operate the other side with the same operation and number.

So, the example that shows a division, that is representing the division property, and so on.

Division property of equality: this property states that if we divide one side of the equation, we must divide the other side by the same number.

[tex]\frac{55}{11}=\frac{11x}{11}[/tex]

Multiplication property of equality: this property states that if we multiply one side of the equation, we must multiply the other side by the same number

[tex](4x)(\frac{1}{4} )=(3)(\frac{1}{4} )[/tex]

Adition property of equality.

[tex]3x-4+4=12+4[/tex]

Subtraction property of equality.

[tex]\frac{1}{2}+5x-\frac{1}{2}=8-\frac{1}{2}[/tex]

The corret match is as follows:

Multiplication property of equality: (4x)(1/4) = (3)(1/4)

Addition property of equality : 3x - 4 + 4 = 12 + 4

Subtraction property of equality: (1/2) + 5x -(1/2)=8-(1/2)

Division property of equality: 55/11 = 11x/11.

For multiplication property of equality:

Consider an equation:

4x = 3

Multiply by (1/4) on both sides by this property we get,

(4x)(1/4) = (3)(1/4)

For addition property of equality:

Consider an equation:

3x - 4  = 12
Add 4 both sides we get,

3x - 4 + 4 = 12 + 4

For subtraction property of equality:

Consider an equation:

(1/2) + 5x=8

Subtract both sides by (1/2)

(1/2) + 5x -(1/2)=8-(1/2)

For division property of equality:

Consider an equation:

55= 11x

Divide both sides by 11 we get,

55/11 = 11x/11.

Hence,

The corret match is:

Multiplication property of equality: (4x)(1/4) = (3)(1/4)

Addition property of equality : 3x - 4 + 4 = 12 + 4

Subtraction property of equality: (1/2) + 5x -(1/2)=8-(1/2)

Division property of equality: 55/11 = 11x/11.

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ3

Answer:

(C) 1/3

Step-by-step explanation:

The slope intercept form: y = mx + b.

Note:

m = slope

b = y-intercept

x & y = (x , y) for the points.

You are trying to get the y-intercept of the following function given:

f(x) or y = (-2/9)x + (1/3)

1/3 is your answer, or (C), for 1/3 replaces the b inside the equation.

If you really need the slope, the slope of the following equation is (-2/9), which replaces the m inside the equation.

~

Answer:

he will need exactly $808.75

Jared's total expense for the remaining 2 quarters would amount to $1616, which is the sum of tuition ($785) and fees ($23) per quarter, multiplied by the total remaining quarters (2).

To determine the amount Jared will need for tuition and fees, we first have to calculate the total cost for each quarter. For every quarter, the total cost comprises of $785 in tuition and $23 in fees. Consequently, the overall cost per quarter will be 785 (for tuition) + 23 (fees), which amounts to $808.

Given that Jared still has 2 quarters remaining, the net amount he would require will be the product of the amount needed per quarter and the number of remaining quarters i.e., 808 * 2, therefore equally to $1616.

https://brainly.com/question/32938164

#SPJ2

3(x-5)-4(x+3)

Multiply the first bracket by 3

(3)(x)=3x

(3)(-5)=-15

(-4)(x)=-4x

(-4)(3)=-12

3x-15-4x-12

3x-4x-15-12 ( combine like terms)

Answer: -x-27

1/8÷1/4​

Flip over the second fraction

1/4=4/1

1/8 *4/1

Cross out 8 and 4 ,divide by 4

8/4=2

4/4=1

1/2 *1/1=1/2

Answer: 1/2

Answer:

1/2

Step-by-step explanation:

1/8 divided by 1/4 becomes

1/8 multiplied by 4/1

(When we divide fractions the second fraction flips and we multiply instead of division)

So the answer is 1/2

Answer:

Step-by-step explanation:

Complement = 90 - Angle

Complement = 90 - y

Complement = 90 - (8x - 20)

Complement = 90 - 8x + 20

Complement = -8x + 110

The complement of an angle Y denoted as (8x-20°), is found by subtracting the angle from 90°. After distribution and addition, the final formula for the complement of angle Y is 110° - 8x.

The complement of an angle is defined as the difference between 90 degrees and the angle. In this case, we need to find the complement of angle Y, represented as (8x-20°).

To find the complement, we subtract the angle from 90°. So, the complement of angle Y is given by the formula 90° - (8x - 20°).

When you distribute the negative sign into the parentheses, the formula becomes 90° - 8x + 20°. Adding 90° and 20° gives us 110°, making the final formula for the complement of angle Y as 110° - 8x.

Learn more about the Complement of an angle here:

https://brainly.com/question/29775107

#SPJ2

Answer:113

here you go

Answer:

113

Step-by-step explanation:

Here you go

Answer:

No solution

Step-by-step explanation:

There are no values of x  that make the equation true.

Answer:

(1).(C) Commutative property.

(4).(D) 3

(3).(D)  75

Step-by-step explanation:

(1) Commutative property of addition states that if two number p and q are real. Then, it doesn't matter in which order the numbers are added it will provide the same result. i.e.

p + q = q + p

Therefore, -8 + (-15) = (-15) + (-8) is an example of commutative property.

(2) - (q+14) = (-3) + (-14)

[tex]\Rightarrow -q - 14=-3 -14[/tex]

[tex]\Rightarrow-q= -17 +14[/tex]

[tex]\Rightarrow-q=-3[/tex]

[tex]\Rightarrow q=3[/tex]

(3) -10 + a + (-15) = 50

[tex]\Rightarrow a -25 = 50[/tex]

[tex]\Rightarrow a = 50 + 25 = 75[/tex]

Hey!

-------------------------------------------------

[tex]\boxed{ \bf A.~15,006.099~<~15,006.101}[/tex]

-------------------------------------------------

Explanation:

Since both numbers have 15,006 before the decimal we only need to see which number has a bigger decimal.

0.099 < 0.101

0.101 - 0.099 = 0.002

So, 15,006.101 is 0.002 bigger than 15,006.099!

-------------------------------------------------

Hope This Helped! Good Luck!

Answer:

9000

Step-by-step explanation:

200x45=9000

Answer:

9,000 pounds.

Step-by-step explanation:

That would be 45 * 200

= 9,000 pounds.

Answer:

36

Step-by-step explanation:

3(5+7)

multiply 3 and 5

then multiply 7 and 3

15 + 21

which is 36

Answer:

Step-by-step explanation: 3 x 5 =15 + 3 x 7 =21   15+21=36

Answer:

(p +5)²  = 26

Step-by-step explanation:

p²+10p = 1

try to arrange them like a²+2ab+b² ;

here,

a² = p²  →      ∴a=p

and,

2ab = 10p

⇒2ab = 10a    [∵a=p]

∴ b=5            [dividing both sides by 2a]

∴b²=5²

hence,

⇒ p² + 2 .p.5 + 5² = 1+5²   [add  5² on both sides ]

⇒ (p +5)²  =1+25

∴  (p +5)²  = 26

Answer:

[tex]\sqrt{64}-\sqrt{-289}[/tex]

[tex]=8-17i[/tex]

Step-by-step explanation:

[tex]\sqrt{64}=8[/tex] because 8(8)=64 and 8 is the positive square root of 64.

[tex]\sqrt{-289}=17i[/tex] because 17i(17i)=289i^2=-289(-1)=-289.

[tex]\sqrt{64}-\sqrt{-289}[/tex]

[tex]8-17i[/tex]

Answer:

8-17i

Step-by-step explanation:

Got right on PLATO

Answer:

8

Step-by-step explanation:

Answer:

16 = small

74 = big

Step-by-step explanation:

4x+10 = big angle

x = small angle

4x+10+x = 90

5x+10 = 90

5x = 80

x = 16

4 x 16 + 10 = 74

Avocado out!!!!!!!!!

Answer:

[tex]y=16^{\circ},x=74^{\circ}[/tex]

Step-by-step explanation:

Let complementary angles are x and y.

Let x is larger angle between x and y.

We have to find the measure of both angles x and y.

According to question

[tex]x=4y+10[/tex]

We know that complementary angles :Two angles whose sum is 90 degrees.

[tex]x+y=90^{\circ}[/tex]

[tex]4y+10+y=90[/tex]

[tex]5y=90-10=80[/tex]

[tex]y=\frac{80}{5}=16^{\circ}[/tex]

Substitute the value then we get

[tex]x=4(16)+10=74^{\circ}[/tex]

There are 3 factors.

One root per factor.

Set each factor to 0 and solve for x individually.

Answer:

w=-1

Step-by-step explanation:

3w-7w-12=2(w-3)

1) Combine alike terms:

-4w-12=2(w-3)

2) Use the Distributive property on the left side of the equation:

-4w+12=2w-6

3) Add a 6 to both sides:

-4w-6=2w

4) Add a 4w to both sides:

-6=6w

5) Divide both sides by 6:

w=-6/6

6) Simplify the fraction:

w=-1

The solution to the equation 3w - (7w + 12) = 2(w - 3) is w = -1.

The given equation is 3w - (7w + 12) = 2(w – 3).

Distribute the negative sign (-) to the terms inside the parentheses on the left side and distribute the 2 to the terms inside the parentheses on the right side:

3w - 7w - 12 = 2w - 6

-4w - 12 = 2w - 6

Move all the terms involving w to one side of the equation by adding 4w to both sides:

-4w + 4w - 12 = 2w + 4w - 6

-12 = 6w - 6

Add 6 to both sides of the equation to isolate the term with 6w:

-12 + 6 = 6w - 6 + 6

-6 = 6w

Divide both sides of the equation by 6 to solve for w:

(-6) / 6 = 6w / 6

-1 = w

Therefore, the solution to the equation 3w - (7w + 12) = 2(w - 3) is w = -1.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ6

Answer:

2^n pieces

80 / (2^n) in²

Step-by-step explanation:

If she cuts the paper in half 1 time, she will have 2 pieces.

If she cuts the paper in half 2 times, she will have 4 pieces.

If she cuts the paper in half 3 times, she will have 8 pieces.

So the pattern is 2^n.

The original area is 80 in².  Divided by 2^n pieces means each piece has an area of 80 / (2^n) in².

Answer:

Step-by-step explanation:

804.25mm

Answer:

(13,10)

Step-by-step explanation:

On the graph, all the points going right starting from 0, would be positive, and all points going up starting from 0 would be positive.

You should also know that going right would mean the x (which is 9 here) would get bigger; and the y (which is 4) going up would get bigger too.

So if you move (9,8) right 4 times 9 + 4 = 13, so now you have (13,8).

Then, you move (13,8) up 2 units, so 8+2 more units = 10, so then your final answer would be (13,10).

Hope this helped, sorry if its confusing I wasn't born to teach lol

The image point of (9, 8) is (13, 10), after the translation.

In graphs, we know that the horizontal line is the x-axis, more we go right in that line, more positive values of x we get & in similar manner, more we go left, we get more negative values of x.

So, if we translate (9, 8), 4 units in the right, then we get larger value of x, i.e. 9+4=13 and the point becomes (13,8)

Also, the vertical line on a graph defined the y-axis, more we go up in that line, more we get positive values of y and more we go down that line, more we get negative values of y.

So, if we up the value of y 2 units, then the co-ordinate of y is 8+2 = 10

And the point becomes (13,10)

So, the required image point is (13,10)

Learn more about image point here :

https://brainly.com/question/2418777

#SPJ2

Answer:

y= -2x+8

Step-by-step explanation:

2x+y=8

-2x     -2x

__________

y= -2x+8

I think this is what you're asking for. The question is kind of confusing.

See the attached picture for the answer.

In a simple addition problem like this, just directly add the number of black tiles (35) and white tiles (28). So, 35 + 28 equals 63. You will need 63 tiles in all to tile the patio.

The question asks you to find the total number of black and white tiles needed to tile a patio, using the Distributive Property to do the math.

However, the Distributive Property is used for multiplying a number by a group of numbers added together, not for a simple addition problem like this. For this question, you directly add the number of black tiles (35) and white tiles (28).

So, 35 (number of black tiles) + 28 (number of white tiles) equals 63. Therefore, you will need 63 tiles in all to tile the patio.

For more such questions on addition, click on:

https://brainly.com/question/35006189

#SPJ2

Answer:

Step-by-step explanation:

(-)(-) = (+)

(-)(+) = (-)

(+)(-) = (-)

(+)(+) = (+)

-(-21) = (-)(-21) = (+)21 = 21

-12 - (-21) = -12 + 21           use commutative property: a + b = b + a

= 21 + (-12) = 21 - 12 = 9

its called be a smart kid and actually paying attention u downs syndrome idiot