Which values from the set {-8, -6, -2, 0, 2, 4, 8} satisfy the following inequality?

[tex]\boxed{\bold{x = 2, 3}}[/tex]

Stepwise Solving:

[tex]\rightarrow \sf x^2-5x + 6 = 0[/tex]

[tex]\sf use \ the \ formula : x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ ax^2 + bx + c = 0[/tex]

Identify the coefficients:

Solve for x:

[tex]\dashrightarrow \ \sf x=\dfrac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4 \ x \ 1 \ x \ 6}}{2 \ x \ 1}[/tex]

[tex]\dashrightarrow \ \sf x=\dfrac{\left5\right\pm \sqrt{\left25-24}}{2}[/tex]

[tex]\dashrightarrow \ \sf x=\dfrac{\left5\right\pm \sqrt{1}}{2}[/tex]

[tex]\dashrightarrow \ \sf x=\dfrac{\left5\right\pm1}{2}[/tex]

[tex]\dashrightarrow \ \sf x=\dfrac{\left5\right+ 1}{2} \ , \dfrac{\left5\right- 1}{2}[/tex]

[tex]\dashrightarrow \ \sf x=\dfrac{6}{2} \ , \ \dfrac{4}{2}[/tex]

[tex]\dashrightarrow \ \sf x= 3, \ 2[/tex]

x+x + y * y = 2x + y²

Answer:

[tex]2x + y^{2}[/tex]

Step-by-step explanation:

[tex]\text{If a number is being added to itself, it is basically a number being multiplied by 2. }[/tex]

[tex]\rightarrow x + x[/tex]

[tex]\rightarrow \boxed{\bold{2x}}[/tex]

[tex]\text{If a number is being multiplied by itself, it is basically the number squared.}[/tex]

[tex]\rightarrow y \times y[/tex]

[tex]\rightarrow \boxed{\bold{y^{2}}}[/tex]

Thus, the simplified expression is 2x + y².

Answer:

22

Step-by-step explanation:

3x = x+44(base angle of isosceles triangle are equal)

2x = 44

x = 22

Step-by-step explanation:

f(x) = x√(x+8)

When f(x) = 0,

0 = x√(x+8)

x = 0, x + 8 = 0

x = -8

f'(x) = (1)√(x+8) + x • ½(x+8)^(-½) = 0

0 = √(x+8) + 1/[2√(x+8)] (x)

-2(x+8) = x

-2x - 16 = x

x = -16/3

(-8 < -16/3 < 0)

Therefore, x-intercept of f'(x) = 0 is somewhere between the two x-intercepts, ranging from -8 to 0.

The proportion of students who chose popcorn will be 14/33.

From the information, the frequency table shows the number of students selecting each type of

food.

The number of people who choose popcorn = 14

Total number of people = 33

Therefore, the proportion of students chose popcorn will be:

= 14/33

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Answer:

0.42

Step-by-step explanation:

Your net income/take-home would be 84.6 percent of the gross amount.

Your net income is the amount of money left after payroll deductions in the form of taxes and other charges on the gross amount of your paycheck.

If we deduct federal and state taxes, 10 percent and 6 percent respectively, we would charge 10 percent and 6 percent of 100 and have 84.6 percent of your original(gross) income left.

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[tex]t= \dfrac{2r}{r-1}\\\\\implies tr-t= 2r\\\\\implies tr -2r = t\\\\\implies r(t-2) = t\\\\\implies r = \dfrac{t}{t-2}[/tex]

The formula of r is t/t-2 for equation t=2r/r-1.

Two or more expressions with an Equal sign is called as Equation.

The given equation is t = 2r/r-1

t equal to two times of r divided by r minus one

We need to find the formula for r

t = 2r/r-1

Apply cross multiplication

t(r-1)=2r

Apply distributive property on left side

tr-t=2r

Subtract 2r on both sides

tr-2r=t

r(t-2)=t

Divide both sides by t-2

r=t/t-2

Hence, the formula of r is t/t-2 for equation t=2r/r-1.

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Answer:

180 cm2 is the answer you can multiply all sides

Answer:

Step-by-step explanation:

length = l = 9 cm

Width = w= 3 cm

height = h  = 4 cm

Lateral surface area = 2 *( lh+ lw)

                                 = 2*( 9*4 + 9*3)

                                 = 2 * (36 + 27)

                                 = 2 * 63

                                  = 126 square cm

Answer:

5,-17

6,-21

Step-by-step explanation:

When the input goes up by 1 the output goes up by negative 4 each time

To identify which data set is represnted by the box plot, find the data set that has the exact five-nunber summary of the box plot given.

If you identify the five-number summary of a data set, you can easily draw a box plot, because the values of each of the five-number summary is exactly what you are going to see on a box plot.

The min, max, lower and upper quartile, and median, which are the five-numnber summary of a data set is displayed as shown in the box plot attached below.

Therefore, to identify which data set is represnted by the box plot, find the data set that has the exact five-nunber summary of the box plot given.

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Answer:

Yes

Step-by-step explanation:

If there are three measurements, then it will result in a triangle.

Answer:

2x + 1 = x + 5

x = 5-1

x = 4

Step-by-step explanation:

Answer:

x=2

y=2

Step-by-step explanation:

x+3y=8

- x-4y=-6

7y=14

y=14/7

y=2

x+3(2)=8

x+6=8

x=8-6

x=2

y=2

x=2

The possible value of the third length is an illustration of Triangle inequality theorem

The possible third lengths are 4 units and 6 units

To determine the third length, we make use of the following Triangle inequality theorem.

a + b > c

Let the third side be x.

So, we have:

x + 6 > 3

x + 3 > 6

3 + 6 > x

Solve the inequalities

x > -3

x > 3

x < 9

Remove the negative inequality value.

So, we have:

x > 3 or x < 9

Rewrite as:

3 < x or x < 9

Combine the inequality

3 < x < 9

This means that the possible value of the third length is between 3 and 9 (exclusive)

Hence, the possible third lengths are 4 units and 6 units

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Answer:

f(x) = 2x3 + 4

Stretch vertically be a factor of 2:

f(x) = 2*2x3 + 4 = 4x3 + 4

Shift 5 units to the left:

f(x) = 4(x+5)3 + 4

Answer:

Step-by-step explanation:

So because all straight lines are 180 degrees

180-32 = 148

Answer 148 degrees

I hope that helps!

Answer:

148

Step-by-step explanation:

If you add the measures of Angle BPC and Angle DPB, they will equal 180. This is because they are the two angles that make up an even bigger angle, a straight angle (Angle CPD), that equals 180 degrees. Let's solve for x now.

x + 32 = 180

x + 32 (- 32) = 180 (- 32)

x = 148

Therefore, x is equal to 148. I hope this helps! Have a lovely day!! :)

Answer:

64=4^3

Step-by-step explanation:

4x4x4=64. 4x4x4=4^3 as there are three 4s. Hope it helps!

Answer:

Sorry I only know answer to the second question

That is 12000

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Answer:

C) √ 148

Step-by-step explanation:

Answer:

390 pens in total

Step-by-step explanation:

Each box has 6 black and 4 black

so the total amount of pens per box should be 10 because 6+4=10

Since we have to use distributive property you can write the equation (6+4)*39 because you need to figure out the total amount of pens in all the boxes.

6+4 is 10

and 10 * 39 is 390

therefore the answer is 390 pens in total

Answer:

56 degree

Step-by-step explanation:

90 - 34 = 56

Answer:

w = 56

Step-by-step explanation:

w + 34 = 90 (the angle is a right angle)

w = 90-34 = 56

Answer:

adjacent

Step-by-step explanation:

share the same side

Answer:

adjacent

Step-by-step explanation:

Step-by-step explanation:

formula

an = a1 + (n - 1) d

10 = a1

15 = a2

20 = a3

n = unknown number

d = difference between each sequence

a10 = 10 + (10 - 1) 5

a10 = 10 + (9)5

a10 = 10 + 45

a10 = 55

Answer:

Hope the picture will help you

Answer

true

Step-by-step explanation:

Answer:

I think true because that's the only star that is closest to the earth