Which expression can be used to find the difference of the polynomials?

Answer: [tex]y=-\frac{1}{3} x-3[/tex]

Step-by-step explanation:

To find the inverse of a function you must first swap the places of x and y

[tex]x=-3y-9[/tex]

Now solve for y

Step 1: Flip the equation.

[tex]-3y-9=x[/tex]

Step 2: Add 9 to both sides.

[tex]-3y-9+9=x+9\\-3y=x+9[/tex]

Step 3: Divide both sides by -3.

[tex]\frac{-3y}{-3} =\frac{x}{-3} +\frac{9}{-3} \\y=-\frac{1}{3} x-3[/tex]

The function f(x) = x² + 6x + 7 is increasing over the interval x > -3 and decreasing over the interval x < -3.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the function f(x) = x² + 6x + 7. This is a quadratic equation,that is of degree two.

The function f(x) = x² + 6x + 7 is increasing over the interval x > -3 and decreasing over the interval x < -3.

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Answer: Right iscoleces triangle

Step-by-step explanation: The square on the left bottom side means it is a right angle. The lines means that a side is congruent to the other side. By definition, iscoleces triangles have two congruent sides, so this must be it.

Answer:

right isosceles

Step-by-step explanation:

the right angle and the two sides that are equal make the triangle a right isosceles

[tex](6^-^8)^4[/tex]

[tex]=6^-^2^4[/tex]

[tex]=\frac{1}{6^2^4}[/tex]

The percentage of 24-ounce bags containing more than the advertised 24 ounces of chips will be -1.25.

The z-score is a numerical assessment of a value's connection to the mean of a set of values, expressed in terms of standards from the mean, that is used in statistics.

Given data;

Mean,μ = 25

Standard deviation,σ=0.8

The Z score is found as;

[tex]\rm Z = \frac{x-\mu}{ \sigma } \\\\ Z = \frac{24-25}{0.8} \\\\ Z= -1.25[/tex]

The P-value for the obtained z score is  .2113.

Hence the percentage of 24-ounce bags containing more than the advertised 24 ounces of chips will be -1.25.

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The probability that the person has an IQ greater than 120 is 0.2524 of 25.24%

It is a branch of mathematics that deals with the occurrence of a random event.

Given:

IQ is normally distributed with a mean of 100 and a standard deviation of 15.

probability that the person has an IQ greater than 120,

P(x >120)

= P(Z > 120-100/ 15)

= P(Z > 0.667)

 P(x >120) = 1-  P(Z <  0.667)

                  = 1-0.7476

                 = 0.2524

                = 25.24%

Hence, the probability is 0.2524.

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Answer:

(4, -3)

Step-by-step explanation:

A vertex is just a point at which 2 lines going in different directions meet, hence (4, -3)

Answer:

Step-by-step explanation:

[tex] \bf {x}^{2} + 5x + 6 = 0[/tex]

Write the equation in factored form.

[tex]\bf (x + 2)(x + 3) = 0[/tex]

Separate equations, and set each factor to zero.

[tex]\bf x + 2 = 0[/tex]

[tex]\bf x + 3 = 0[/tex]

Rearrange and isolate the variable to find the solutions

[tex]\bf x = - 2[/tex]

[tex]\bf x = - 3[/tex]

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

Answer:

x=-3           x=-2

Step-by-step explanation:

x^2 +5x+6 =0

We need to factor the equation

What two numbers multiply to 6 and add to 5

3*2 = 6

3+2 =5

(x+3)(x+2)

Using the zero product property

x+3 =0  x+2 =0

x=-3           x=-2

Answer:

J Trump has to be a great day of school and I have a great

Step-by-step explanation:

you thank you thank you thank you thank you thank you thank you thank you thank you thank you thank you for your loss of school and I have a great day of school ii

Answer:

x²-16x+64

Answer:

  (x -8)² = x² -16x +64

Step-by-step explanation:

A lot of math is about pattern recognition. For many of the patterns you are asked to recognize, it is helpful to be very familiar with basic math facts: addition facts, multiplication facts, and the squares and cubes of small integers.

All of algebra is based on a few properties of arithmetic and equality. One that is important here is the distributive property.

__

One of the patterns that is used with quadratics is the square of a binomial.

  (a - b)² = a² -2ab +b²

This is the result of applying the distributive property several times.

First of all, the exponent indicates repeated multiplication:

  (a -b)² = (a -b)×(a -b)

The distributive property tells you each term outside parentheses multiplies each term inside:

  = a×(a -b) -b×(a -b)

  = a·a -a·b -b·a +b·b . . . . . and again

Now, we collect terms, recognizing that ab=ba.

  = a² -2(a·b) +b² . . . . . . . using exponents for repeated multiplication

So, the pattern for the square of a binomial is ...

  (a -b)² = a² -2ab +b²

__

For your specific case, ...

  (x -8)² = x² -2(x)(8) +8² . . . . . . using the above pattern

  (x -8)² = x² -16x +64

_____

Additional comment

If you want to do this without using the pattern, just make use of the distributive property:

  [tex](x-8)^2=(x-8)(x-8)\\\\=x(x -8) -8(x-8)\\\\=x^2-8x-(8x-64)\\\\=x^2-8x-8x+64\\\\\boxed{(x-8)^2=x^2-16x+64}}[/tex]

__

While the distributive property is the fundamental property involved, some find it helpful to remember a mnemonic that gets you to the same result for the product of binomials: FOIL. The letters refer to First, Outer, Inner, Last, and they remind you of the terms that make up the expansion of the product:

Then the product is ...

  (x -8)² = x² -8x -8x +64 = x² -16x +64

__

Of course, the distributive property is involved in what we call "collecting terms."

  -8x -8x = (-8-8)x = -16x

The variable is factored out using the distributive property, then the coefficients are added to simplify the expression in parentheses.

Answer:

27

Step-by-step explanation:

Answer:

For plato users, the answer would be letter C.

Step-by-step explanation:

A.

It represents neither a relation nor a function.

B.

It represents a relation only.

C.

It represents both a relation and a function.

D.

It represents a function only.

This equation represents both a relation and a function.

Took the test, hope this helps!

Step-by-step explanation:

Answer:

width = 10 cm

Step-by-step explanation:

the ratio of width to length is 2 : 5 = 2x : 5x ( x is a multiplier )

the perimeter (P) of a rectangle is calculated as

P = 2 × width + 2 × length

given P = 70 then

2(2x) + 2(5x) = 70

4x + 10x = 70

14x = 70 ( divide both sides by 14 )

x = 5

Then

width = 2x = 2 × 5 = 10 cm and length = 5x = 5 × 5 = 25 cm

The correct answer is option B which is 3

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

Given data:-

4,3,2

The mean will be calculated as:-

Mean = (4 + 3 + 2) / 3

Mean =  9 / 3

Mean = 3

Therefore the correct answer is option B which is 3

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Answer:

y = -7x

Explanation:

Take two points from table: (-4, 28), (-3, 21)

Find slope:

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

[tex]\rightarrow \sf slope\ (m): \dfrac{21-28}{-3-(-4)} = -7[/tex]

Now find equation:

[tex]\sf y - y_1 = m (x - x_1)[/tex]

[tex]\rightarrow \sf y - 21 = -7(x - (-3))[/tex]

[tex]\rightarrow \sf y = -7(x +3) + 21[/tex]

[tex]\rightarrow \sf y = -7x -21 + 21[/tex]

[tex]\rightarrow \sf y = -7x[/tex]

Slope

Equation of line

Step-by-step explanation:

[tex] \sqrt{10} = 3.2 \\ then \: the \: sign \: there \: is \: = \\ \sqrt{10 } = 3.2 \\ \\ \: \sqrt{12} = 3.5 \\then \: the \: sign \: there \: is \: = \\ \: \sqrt{12} = 3.5 \\ \\ 6 \frac{1}{3} = 6.3 \: and \: \sqrt{40 } = 6.3 \\ therefore \: 6 \frac{1}{3} = \sqrt{40} \\ \\ 2 \frac{2}{5} = 2.4 \: and \: \sqrt{5.76} = 2.4 \\ then \: \: 2 \frac{2}{5} = \sqrt{5.76} \\ \\ 5 \frac{1}{6} = 5.16 \: and \: 516 \: \: therefore \: \\ 5 \frac{1}{6} = 5.16 \\ \\ \sqrt{6.2} = 2.5 \\ and \: 2.4 \: therefore \: \\ \sqrt{6.2} > 2.4[/tex]

The match is shown in the picture for the function of a parabola and the graph of a parabola.

It is defined as the graph of a quadratic function that has something bowl-shaped.

As we know the standard form of the parabola is:

y = a(x - h)² + k

If a > 0 (parabola opens upwards)

If a < 0 (parabola opens downwards)

or

x = a(y - h)² + k

If a > 0 (parabola opens right side)

If a < 0 (parabola opens left side)

Here (h, k) is the vertex of the parabola and a is the leading term.

Thus, the match is shown in the picture for the function of a parabola and the graph of a parabola.

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Therefore,

We know that :

Substituting the values :

>> V = π × (7 / 2)^2 × 8

>> V = π × (49 / 4) × 8

>> V = π × 49 × 2

>> V = 98π

Henceforth,

We know , the volume of a cylinder is given by the formula – πr²h, where r is the radius of the cylinder and h is the height.

Therefore, putting the values, we get,

[tex] \Large \mathcal \purple {Volume }\large\red\implies \tt \large \:\pi \: {r}^{2}h[/tex]

[tex] \Large \mathcal \purple {Volume }\large\red\implies \tt \large \:\pi \times \: \bigg(\frac{7}{2} \bigg)^{2} \: \times \: 8 \\ [/tex]

[tex] \Large \mathcal \purple {Volume }\large\red\implies \tt \large \:\pi \: \times \: \frac{7}{2} \: \times \: \frac{7}{2} \: \times \: 8 \\ [/tex]

[tex] \Large \mathcal \purple {Volume } \large\red\implies \tt \large \:\pi \: \times \: \frac{7}{2} \: \times \: \frac{7}{ \cancel2} \: \times \: \cancel{8} \: ^{ \orange4} \\ [/tex]

[tex]\Large \mathcal \purple {Volume }\large\red\implies \tt \large \:\pi \: \times \: \frac{7}{ \cancel2} \: \times \: {7} \: \times \: \cancel4 \: ^{ \orange2} \\ [/tex]

[tex] \\ \Large \mathcal \purple {Volume }\large\red\implies \tt \large \:\pi \: \times \: 7 \: \times \: 7 \: \times \: 2[/tex]

[tex]\Large \mathcal \purple {Volume }\ \large\red\implies \tt \large \:\pi \: \times \: 49 \: \times \: 2[/tex]

[tex]\Large \mathcal \purple {Volume }\large\red\implies \tt \large \:98 \:\pi[/tex]

Hence , the volume of cylinder is 98 pi

Answer: 4.2%

Step-by-step explanation:

Multiplying these, we get (1/6)(1/4), which is about 4.2%

Answer:

0.223 is the answers for the question but I got this answer 0.181

Step-by-step explanation:

please mark me as brainlest

The probability that both are smokers is 6903/180000

The given parameters are:

Male smoker = 177

Female smoker = 78

Total student = 78 + 522 = 600

The probability of a male smoker is

P(Male) = 177/600

The probability of a female smoker is

P(Female) = 78/600

The probability that both are smokers is

P(Smoker) =P(Male) *P(Female)

So, we have:

P(Smoker) = 177/600 * 78/600

Simplify

P(Smoker) = 177/600 * 39/300

Evaluate the product

P(Smoker) = 6903/180000

Hence, the probability that both are smokers is 6903/180000

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The question is incomplete. Below you will find the missing figure.

Two friends, Andrew and Liz, are playing a game using this spinner. If the

spinner lands on region 2 or 3, Andrew wins. If it lands on region 4, Liz wins. If it lands on any other region, neither wins. Is this a fair game?

A. Yes. Each friend has a 1/4 probability of winning.

B. Yes. Each friend has a 1/6 probability of winning.

C. No. Andrew has a probability of 1/4 winning and Liz has a probability of 1/6 winning.

D. No. Andrew has a probability of 1/3 winning and Liz has a probability of 1/4 winning.

The correct option is Option A: Yes. Each friend has 1/4 probability of winning.

Probability is the possibility of an event to happen which is the ratio of no. favorable outcomes and no. of total outcomes.

P = no. of favorable outcome/ total no. of outcome

Here given in the question,

If the spinner touches region 2 or 3, Andrew wins

If the spinner touches region 4, Liz wins.

This is fair play because both have the same size of region for winning.

If we cut the circle into 8 pieces,

as region 1 is the sum of 2 sub-parts of the circle,

possibility of spinner touching region 1= 2/8= 1/4

possibility of spinner touching the small region = 1/8

So the possibility of the spinner touching the region 2or 3= 1/8+1/8= 2/8= 1/4

Hence the possibility of Andrew wins= possibility of the spinner touching region 1= 1/4

possibility of Liz wins= possibility of the spinner touching the region 2 or 3= 1/4

Therefore the correct option is Option A: Yes. Each friend has 1/4 probability of winning.

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Answer:

[tex]\frac{2}{3}|2-x|=\frac{1}{15}[/tex]

Step-by-step explanation:

[tex]\frac{1}{5} + \frac{2}{3} |2-x| = \frac{4}{15} \\\\\frac{1}{5}*(\frac{3}{3}) = \frac{3}{15}\\\\\frac{3}{15}-\frac{3}{15} + \frac{2}{3}|2-x| =\frac{4}{15}-\frac{3}{15}\\\\\frac{2}{3}|2-x|=\frac{1}{15}[/tex]

Answer: Length = 9 cm, Width = 6 cm

Step-by-step explanation:

L - 3 + L - 3 + L + L = 30

2L - 6 + 2L = 30

4L - 6 = 30

4L = 36

L = 9

Length = 9 cm

Width = 9-3 = 6 cm

Answer:

A.

Step-by-step explanation:

The parabola opens down, so the "a" value (the number in front of x^2) must be negative. The y-intercept is (0, 5) so the constant must be positive 5.

A function assigns the values. The correct option is C, x=-6.

A function assigns the value of each element of one set to the other specific element of another set.

A.) When the value of x is -12,

f(-12) = 2/3(-12) + 7 = -1

g(-12) = 2(-12) + 15 = -9

B.) When the value of x is -9,

f(-9) = 2/3(-9) + 7 = 1

g(-9) = 2(-9) + 15 = -3

C.) When the value of x is -6,

f(-6) = 2/3(-6) + 7 = 3

g(-6) = 2(-6) + 15 = 3

D.) When the value of x is -3,

f(-9) = 2/3(-3) + 7 = 5

g(-9) = 2(-2) + 15 = 11

Hence, the correct option is C, x=-6.

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Answer: [tex]\frac{5\pi}{3}[/tex]

Step-by-step explanation:

[tex]A=(\sqrt{20})^{2}(\pi)\left(\frac{30}{360} \right)=\boxed{\frac{5\pi}{3}}[/tex]

Answer:

x-intercepts: -5 +/-[tex]\sqrt{21}[/tex]. y-intercept: 4

Step-by-step explanation:

For x-intercepts use the quadratic equation

[tex]x= (-b +/-\sqrt{b^2-4ac} )/2a[/tex]

Fill in your values:

[tex]x= (-10 +/-\sqrt{100-16} )/2[/tex]

And solve

[tex]x=-5 +/- \sqrt{21}[/tex]

For y-intercepts set x=0 and solve. In this case, setting x= 0 gives you y=4.

Based on the information given, the correct options will be

y = x + 6 and 3x - 3y = -18 .... Infinitely many solutions.

y = -2x + 5 and 2x + y = -7 .... No solution.

y = -4x + 11 and -6x + y = 11 ... One solution.

Solving equations

y = -4x + 11 ....... equation i

-6x + y = 11 ...... equation ii

Put equation i into ii.

-6x + y = 11

-6x + (-4x + 11) = 11

-6x - 4x + 11 = 11

-6x - 4x = 11 - 11

-10x = 0

x = 0

Therefore, x = 0 and y = 11. This gives a solution for each variable.

y = -2x + 5 ..... i

2x + y = -7 ..... ii

Put equation I into ii

2x + y = -7

2x + (-2x + 5) = -7

2x - 2x = -7 - 5

0 = -12

This indicates no solution.

y = x + 6 ..... i

3x - 3y = -18 ..... ii

Put equation I into ii

3x - 3y = -18

3x - 3(x + 6) = -18

3x - 3x - 18 = -18

3x - 3x = - 18 + 18

0 = 0

This implies that there are infinitely many solutions.

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