find the minimum maximum and domain and range of the functions
h(x) = -x² + 4x - 2​

Answer:

M = 20

Step-by-step explanation:

Given that M is directly proportional to r³ then the equation relating them is

M = kr³ ← k is the constant of proportion

To find k use the condition when r = 4, M = 160, that is

160 = k × 4³ = 64k (divide both sides by 64 )

2.5 = k

M = 2.5r³ ← equation of proportion

When r = 2, then

M = 2.5 × 2³ = 2.5 × 8 = 20

Answer:

M<varies>r³

M=kr³(k= constant)

when M=160,r=4

160=k(4)³

160=64k

k=2.5

therefore,M=2.5r³

when r=2

M=2.5r³

M=2.5(2)³

M=2.5(8)

M=20

Answer:

12(3+5)

Step-by-step explanation:

The greatest common factor is 12

12*3 + 12*5

12(3+5)

Answer:

12(3+5)

Step-by-step explanation:

First, let’s list all the factors of the two numbers. Factors are numbers that evenly divide into a number.

The two numbers are 36 and 60.

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The GCF is the greatest common factor. The biggest factor both numbers share is 12.

Now let’s find the expression.

36+60

We know the GCF is 12. Therefore, we can distribute out a 12. Take out a 12, and then divide both numbers by 12.

12( 36/12 + 60/12)

12(3+5)

Answer: 70 I’m almost certain

Step-by-step explanation: 14 out of the 25 kids have a dog now if you were to have 125 kids which if 5 times the first 25 kids it would be 14x5 which is 70

Answer:

if you divide the first 2 in half you get the one in the bottom, if you unite each 2 in bottom you get the ones in top, its all i could think of, sorry

Step-by-step explanation:

Answer:

Step-by-step explanation:

A triangle on a coordinate plane translated according to the rule [tex]T_{-8,4}(x,y)[/tex]can also be written as [tex](x,y)[/tex] → [tex](x-8,y+4)[/tex]  according to the translation rule.

According to translation rule [tex]T_{a,b}(x,y)[/tex] tells that translation of a point (x,y)

by (a,b) is given by [tex](x,y)[/tex]→[tex](x+a,y+b)[/tex].

Given that [tex]T_{-8,4}(x,y)[/tex], a=-8 and b=4

Putting in the values given in the question to the translation rule we get

[tex](x,y)[/tex]→[tex](x+(-8),y+(4))[/tex]

[tex](x,y)[/tex]→[tex](x-8,y+4)[/tex]

Hence we get triangle on a coordinate plane translated according to the rule [tex]T_{-8,4}(x,y)[/tex]can also be written as [tex](x,y)[/tex] → [tex](x-8,y+4)[/tex]. Answer C is correct.

Learn more about translation rule here:

brainly.com/question/1678275

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Answer:

96 cm²

Step-by-step explanation:

area of single square:16cm²

no. of square in cube:16*6: 96cm²

Answer:

[tex]96 \: \: {units}^{2} [/tex]

Step-by-step explanation:

[tex]A

=

6

{a}^{2}

\\

=

6

·

{4}^{2}

\\

=

96 \: \: {units}^{2}

[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

I believe the answer is 142 degrees.

38 degrees and 7 are adjacent, meaning adding them up will get you 180 degrees. 180-38=142, so 7 is 142.

Number 7 and 5 are corresponding, so they are equal.

This means that 5 is 142 degrees.

(I think)

Answer:

3, - 6 )

Step-by-step explanation:

Since the dilatation is centred at the origin , multiply the original coordinates by the scale factor, that is

(6, - 12 ) → ([tex]\frac{1}{2}[/tex] × 6, [tex]\frac{1}{2}[/tex] × - 12 ) → (3, - 6 )

Answer:

2x+7 = 6

x = -1/2

Step-by-step explanation:

Answer:

2x+7=6

Step-by-step explanation:

Answer:

(1) The correct option is (A).

(2) The probability that Aadi will get Tails is [tex]\frac{2}{5}[/tex].

Step-by-step explanation:

It is provided that:

The probability of tail in both cases is:

(1)

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

In this case we need to compute the proportion of tails.

Then according to the Central limit theorem, Sue's estimate is best because she throws it n = 50 > 30 times.

Thus, the correct option is (A).

(2)

As explained in the first part that Sue's estimate is best for getting a tail, the probability that Aadi will get Tails when he tosses the coin once is:

[tex]P(\text{Tail})=\frac{20}{50}=\frac{2}{5}[/tex]

Thus, the probability that Aadi will get Tails is [tex]\frac{2}{5}[/tex].

Answer:

Answer is C

Step-by-step explanation:

The more you throw the coin the more reliable the test becomes, therefore C is most definitely the correct answer :)

Answer:

122

Step-by-step explanation:

Let x ft. be the distance from neighbour's fence to the house.

Please see attached picture for full solution.

Thus, distance from neighbour's fence to the house is 122 ft. (nearest whole number)

Answer:

idk what an e2020 is ....... education2020?????? and i cant give out my number bc ppl  can see here on brainly

Answer: 11 + (-3) < 9 is true.

Step-by-step explanation:

When there is a + in front of an expression in parentheses , the expression remains the same.

11 - 3 < 9

Now subtract.

8 < 9

Answer:

the intercept is 3/4

Step-by-step explanation:

it's the number in front of the x lol

Answer: I think it’s 20,390

Step-by-step explanation:

Answer: 11,272

Step-by-step explanation: there are 52 weeks in a year multiply that by median wage, which is 1001. Then minus 40,780.

Answer:

Step-by-step explanation:

solution :

       y = -17

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*y+6-(-45)=0

Step by step solution :

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  3y + 51  =   3 • (y + 17)

Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

2.2      Solve  :    y+17 = 0

Subtract  17  from both sides of the equation :

                     y = -17

    solution was found :

                  y = -17

Answer:

8 units^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

A = 1/2 (7-3) * (4-0)

   = 1/2 4*4

   = 8

Answer:

its b i checked it

Step-by-step explanation:

The equivalent rational exponent form of the expression [tex]\sqrt{10}[/tex] is [tex]10^{\frac{1}{2}[/tex].

We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,

The other type of radicals are indices where a number is raised to such power that is greater than one.

We know the square root of a number indicated the number has been raised by half.

Given, An expression [tex]\sqrt{10}[/tex].

So, The rational form of the expression [tex]\sqrt{10}[/tex] should be [tex]10^{\frac{1}{2}[/tex].

learn more about radical expressions here :

https://brainly.com/question/1369233

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Answer:

Step-by-step explanation:

When you multiply two terms with same base, add the exponents.

Example:  x*x² = x* x*x = x³

In short, x*x² = x¹⁺² = x³

[tex]y^{9}*y^{2}=y^{9+2}\\\\ = y^{11}[/tex]

Answer:

2.7%

Step-by-step explanation:

The first thing to take into account, how could the sum be and the only way is that in each numerical cube, get a 1, because the other option is 2+ 0, but it is assumed that both cubes are numerical and on each side there are number.

Therefore, the probability would be that in each die 1 appears, they tell us that there are 36 possible results in the two dice and this would be 1 of those 36 results, which means that the probability would be:

1/36 = 0.027

What 2.7% means is the probability

Answer:

-22

Step-by-step explanation:

Which part of the function is valid when x = -6

The first part

h(-6) = 4x+2 and let x = -6

        =4(-6) +2

        = -24 +2

         =-22

Answer:

-22

Step-by-step explanation:

Answer:

1. f(x) and g(x)

2. g(x)

3. All

4. F(x) and H(x)

Step-by-step explanation:

graph them

Answer:

make a graph based on the equation

Step-by-step explanation:

then match the graph you made to the answer choices

Answer:

D

Step-by-step explanation:

A line with slope of 4/5 and y-intercept 1 has the equation y = 4/5x + 1. Since our options are in standard form, let's convert out equation. We get:

5y = 4x + 5

5y - 4x = 5.

Answer:

It's C I THINK but it might be D.

Step-by-step explanation:

Answer:

Experimental

Step-by-step explanation:

It is not a theory he actually tossed the penny

Answer:

1 real solution

Step-by-step explanation:

20² - 4 (-100) (-1)

400 - 400

0

When the discriminant is 0, there is one real solution.

Answer:

1 real solution

Step-by-step explanation:

20² - 4 (-100) (-1)

400 - 400

0

Answer:

50 lbs.

Step-by-step explanation:

Answer:

45.65

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

-3x - 2 ≥ 7

-3x ≥ 9

x ≤ -3

Answer:

c

Step-by-step explanation:

-3x-2 greater than or equal to 7

-3x greater than or equal to 9

x less than or equal to -3

(flip the inequality sign if you multiply by a negative number on both sides)

c

Answer:

D

Step-by-step explanation:

-6x=4y-32

x=(2(2y-16))/-6

x=(2y-16)/-3

x=(-2/3)*y+16/3

solve for y:

-2((-2/3)*y+16/3)+7y=6

(4/3)y+21/3y+(-32/3)=18/3

(25/3)y=(18+32)/3

(25/3)y=50/3

25y=50

y = 2

solve for x:

-6x - 4y = -32

-6x - 8 = -32

-6x = -24

x = 4

answer: (4, 2)