the question is below ​

Answer:

11

Step-by-step explanation:

f(x) = 3x + 2

Let x = 3

f(3) = 3*3 +2

f(3) = 9+2

      = 11

Answer:

Step-by-step explanation:

f(x) = 3x + 2

In order to find f(3) substitute the value of x that's 3 into f (x) that's replace every x in f (x) by 3

That's

f(3) = 3(3) + 2

= 9 + 2

We have the final answer as

Hope this helps you

Answer:

Hey there!

The correct answer would be f(x)=(x-3)^2

Let me know if this helps :)

Answer:

The given graph shows the relationship between the f(x) and g(x).

Since the problem is to find the points where f(x) becomes equal to g(x) then we will be focusing only to the x-axis and ignore the points of y-axis.

Out of the four choices, the correct answer for the given functions of x will be f(2) = g(2) and f(0) = g(0), f(0) and g(0) is located at the origin. So the points where the curve and line are intersecting is at f(2) and g(2) and the other point is at f(0) and g(0), neglecting the y-axis.

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Find the slope

m= ( 40.12 - 11.02)/ (400-100)

   = 29.1 / 300

   =.097

We can use the linear form y = mx+b

y =.097x +b

40.12 = .097 ( 400) +b

40.12 = 38.80 +b

1.32 = b

y = 0.097x + b

C(x) = .097x + 1.32

The fixed cost is b = 1.32

C(1001) =   .097(1001) + 1.32

            =98.417

The marginal cost is the cost of adding one more item, which is the slope

.097 is the marginal cost

It means to make one more cup of coffee will cost $.097

Answer:

you look at the third decimal place which will affect the second decimal place.

in this case: 2 affects 4 -- leaves it as 4

so the number rounded to two decimal places is 7.14

Answer:

4^-2=1/16

Step-by-step explanation:

When we are multiplying exponents and the bases are the same, we add the exponents

4^6 * 4^-8

4^(6+-8)

4^-2

1/16

Answer:

D.) MC≅MC

Step-by-step explanation:

We already know that the hypotenuses are the same (because of that tiny line), so we need the legs (HL: hypotenuse-leg). As we can see in the picture, MC is a shared side of both triangles, and this is also the leg. Option D is correct.

:Done

Answer:

63,127

Step-by-step explanation:

the interval between each number is multiplied by 2

such as between 1 and 3 we have 2 so 2×2=4

the 4+3=7 and so on

Answer: 63, 127

Step-by-step explanation: 1+2=3; 3+4=7; 7+8=15; 15+16=31; 31+32=63; 63+64=127

Or, if we call the first value  a1 , the sequence is given by  an=2n−1

The first approach to analyzing almost any sequence is to look at the differences of successive elements. In this sequence, that’s 2, 4, 8, 16, 32. That makes the answers above pretty easy.

The answer is

A : x=-5

Answer:

Step-by-step explanation:

[tex]Amount=P(1+r)^t\\=4800(1+0.1)^{\frac{3}{2}}\\=4800(1.1)^{\frac{3}{2}}\\\approx 5537.72 ~Rs[/tex]

Answer:

Hey there!

The letters B, C, D, H, K, M, T, V, W, and X have at least one line of symmetry.

A, E, I, O, U and Y are the vowels.

So we have a total of 21 consonants, and 10 are symmetrical.

Thus, the probability is 10/21.

Let me know if this helps :)

Answer:

d.  x = -3

Step-by-step explanation:

[tex]\sqrt{(x + 3)}[/tex]÷ (x+8)(x-2) = 0

f(x) / g(x) = 0

Variable x cannot be equal to any of the values −8,2 since division by zero is not defined. Multiply both sides of the equation by (x−2)(x+8).

[tex]\sqrt{(x + 3)}[/tex] = 0 ------ square both sides

x + 3 = 0

solve for x:

x = -3

Answer:

The equivalent expression for x+9=10 is x=1.

Step-by-step explanation:

We have a statement i.e. x+9=10

We need to find an equivalent statement for the above statement.

If we subtract 9 on both sides of the above statement,

x+9-9=10-9

We know that, 9-9=0 and 10-9 =1

x+0=1

x=1

So, the equivalent expression for x+9=10 is x=1.

Answer:

0.1^5=0.00001

Step-by-step explanation:

[tex]0.1^5\\0.1^5=0.00001[/tex]

Answer:

A) Cross-sectional

Step-by-step explanation:

A cross-sectional study is a type of study that involves the data i.e. taken from a population for a specific time period.

Here study shows the peoples interest in variables that are be chosen

In the given situation, since a town obtains a data of the current employment for 10,000 of its total citizens

So this represents the cross-sectional

hence, the correct option is A.   Cross-sectional

Answer:

407 falls between whole numbers 406 and 408.

Step-by-step explanation:

whole numbers set of numbers which begins with 0 add has sequence of number differing by one unit.

set of whole numbers will be 0,1,2,3,4,5...........................till infinity.

Given whole number = 407

No. before 407 will be one less than 407 i.e 407 -1 = 406

No. after 407 will be one more than 407 i.e 407 + 1 = 408

Thus, 407 falls between 406 and 408 which are part of whole numbers.

Answer:

(-3/4)x^2 + 6x = 3

Step-by-step explanation:

It takes 8 seconds for the ball to reach its maximum height and then return to ground level; thus, the highest point (vertex) the ball will reach is reached after 4 seconds.  The graph showing this motion is a parabola that opens down.  Thus, the coefficient 'a' must be negative.

Returning to a * x ^ 2 + bx + c, we write out two instances of this formula, one for x = 0 and the other for x = 8.  This is because {0, 8} are the x-intercepts.

Then, for x = 0, a * x ^ 2 + bx + c   becomes  a * 0 ^ 2 + b*0 = 0,

and for x = 8,  a * x ^ 2 + bx + c  becomes  a(8)^2 + b(8) + c = 0

The first equation tells us that 'c' must be 0.  The second equation tells us that  64a + 8b = 0, which is equivalent to 8a = -b, or a = -b/8.

We then have the quadratic function  (-b/8)x^2 + bx + 0.  All we have to do now is to find the value of b.  The vertex of this parabola is (4, 12), and so the quadratic becomes

(-b/8)(4)^2 + b(4) = 12.  To solve this for b, multiply all terms by 8:

-b(16) + 32b = 96, or

16b = 96, or b = 6.  Since a = -b/8 (see above), a = -6/8 or a = -3/4.

Then the equation of motion is

height of ball = (-3/4)x^2 + 6x

We want to know when the ball is at a height of 3 m.  Thus, set this equation of motion = to 3 and solve for x (the times at which height = 3 m):

(-3/4)x^2 + 6x = 3            This is the desired quadratic equation.

Step-by-step explanation:

5/2f or 2.5f I think

..................

Answer:

1.

Step-by-step explanation:

We are being told that:

A scientist is hoping to compare the mean levels of DDT toxin found in three species of fish in a local river.

He randomly samples 50 of each species to use in the analysis.

i.e sample size n = 50

For each fish, he measures the amount of DDT toxin present. The amount of DDT toxin present will be use to rank the species based on the mean level of toxin.

From the information above, we will realize that the factors that are present in this study is just only one and which is the amount of DDT in a Fish because, it is the major focus in this question.

Answer:

It helps in calculating the price of groceries such as fruits.

Step-by-step explanation:

Remember, functions are mathematical expressions that represent or shows the relationship between one or more variables.

For example, let's say a young girl wants to shop for 20 oranges in a mall. If we express the price using the function [tex]y = 20x[/tex] where;

y represents the total cost of the oranges,

20 represents the number of oranges,

x represents the cost per orange (assumed to $0.99)

Then, by means of the knowledge of function, the girl determines the total cost she to be $19.8 (20*0.99).

Functions are mathematical representation of the relationship which exists between input and output variables. Hence, an helpful day-to-day usage of function could be in calculating daily spending on food items.

F(x) = 5.60x

Hence, if 3 meals is consumed in a day, the total amount spent would be ;

F(3) = 5.60(3)

F(3) = $16.80

Hence, functions could be helpful in calculating the daily amount expended on food.

Learn more : https://brainly.com/question/16314496

Answer:

9s+ 14

Step-by-step explanation:

(7s+5)+(5+9)

(7s+2s) +(5+9)

(9s)+(14)

Start by moving your numbers around so your like terms are by each other.

Then combine you like term so numbers with letters with numbers and letters the plain numbers and plain numbers.

once you do that your equation is simplify as far as possible

Answer:

C'(-3, -1)

Step-by-step explanation:

A transformation is the movement of a point from its initial position to a new position. Types of transformation are reflection, rotation, dilation and translation.

If a point A(x, y) is rotated 180 degrees counterclockwise about the origin the new coordinates is A'(-x, -y)

Since C(4, 4) is rotated about point (1, 3), we have to make point (1, 3) the origin. This means the new origin O' is at (1, 3). The horizontal and vertical distance between the new origin and point C gives the new coordinate of point C. Point C x coordinate is 3 units from the new origin and y coordinate is  1 unit from the new origin, hence the new coordinate of point C is (3, 1).

A 180⁰ counter clock wise rotation of point C would give a new point at C'(-3, -1)

Answer:

C) P(x)=1.10x+25

Step-by-step explanation:

The algebraic expression for the amount Ana will pay for furniture with a pretax price of x dollars = 1.1x + 25

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations.

Learn more about algebraic expression here

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Answer:

y= -3/2x + 5/2

Step-by-step explanation:

Given:

To find:

The given line has a slope of -3/2

The parallel line will have the same slope

The point-slope form:

We have m = -3/2, y1= -2, x1 = 3, plug in:

or

Answer:

10.00

Step-by-step explanation:

because 2.00 x 5 is 10 which is a hundred percent hope this helps!

Answer:

The evidence provided does not statistically  support  the researcher’s belief

Step-by-step explanation:

From the question we are told that

   The sample size of each political party  is [tex]n = 200[/tex]

   The  number of democrats that favor death penalty is  [tex]k = 34[/tex]

    The  number of republicans that favor death penalty is  [tex]u = 46[/tex]

Generally the sample proportion for Republicans is

       [tex]\r p_1 = \frac{ 46}{200}[/tex]

        [tex]\r p_1 = 0.23[/tex]

Generally the sample proportion for Democrats is

        [tex]\r p_2 = \frac{ 34}{200}[/tex]

        [tex]\r p_1 = 0.17[/tex]

The  null hypothesis is  [tex]H_o : \r p _1 = \r p_2[/tex]

The  alternative hypothesis is [tex]H-_1 : \r p_1 > \r p_2[/tex]

  Generally the pooled population proportion is evaluated as

        [tex]\r p = \frac{ k + u }{n + n }[/tex]

         [tex]\r p = \frac{ 34 + 46 }{200 + 200 }[/tex]

        [tex]\r p = 0.2[/tex]

The test statistics is evaluated as

           [tex]t = \frac{ \r p _1 - \r p_2 }{\sqrt{ \r p (1 - \r p ) [\frac{1}{n} +\frac{1}{n} ]} }[/tex]

          [tex]t = 1.5[/tex]

The  p-value is obtained from the z-table  the value is  

      [tex]p-value = P(Z> 1.50 ) = 0.066807[/tex]

=>   [tex]p-value = 0.066807[/tex]

Given that [tex]p-value > \alpha[/tex] then we fail to  reject the null hypothesis this mean that there is no sufficient evidence to support the researcher’s belief

The quantity of tomatoes that are left is equal to 1.875 pounds.

Given the following data:

To determine the quantity of tomatoes that are left:

In order to determine the quantity left from the tomatoes Glenn bought, we would use the following mathematical expression:

[tex]Quantity\;left = Fraction\; used \times Total\;quantity[/tex]

Substituting the given parameters into the formula, we have;

[tex]Quantity\;left = \frac{5}{8} \times 3\\\\Quantity\;left = \frac{15}{8}[/tex]

Quantity left = 1.875 pounds

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Answer: c. 42%.

Step-by-step explanation:

P(ship A reaches target) : P(A) = 0.30

P(ship B reaches target) : P(B) = 0.60

P( Ship B not reaching target ) : P(B^c) = 1 - p(B) = 1 - 0.60 = 0.40

P( Ship A not reaching target ) : P(A^c) = 1 - p(B) = 1 - 0.30 = 0.70

NOW

define A for A wins

define A^c for A loss

define B for B wins

define B^c for B loss

A ⇒ P(A) = 0.30

A^c B^c A ⇒P(A^c B^c A) = 0.70 × 0.40 × 0.30

A^c B^c A^c B^c A ⇒ P(A^c B^c A^c B^c A) = ( 0.70 × 0.40)² × 0.30

↓↓↓

∴P(A survives) = sum of all probabilities

⇒ 0.30 + ( 0.70 × 0.40 × 0.30 ) + ( 0.70 ×0.40 )² × 0.30 +...........................

⇒ 0.30 [ 1 + ( 0.28) + (0.28)² +..........................]

Now sum of geometric series S∞ = a / 1-β = 1 / 1 - 0.28

∴ 0.30 × 1/1-0.28 = 0.42

now converting to percentage

0.42 × 100 = 42%

Ship A's survival probability is 42%

Answer:

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur. Mathematically,

Probability = Expected outcome/Total outcome

If the spinner has 10 equally sized sections 5 of which are gray and 5 of which are blue, the total outcome will be equal to 10.

The probability that spinning lands on blue = 5/10

The probability that spinning lands on gray = 5/10

The probability that the first spin lands on gray and the second spin lands on blue is 5/10*5/10 = 25/100

25/100 = 1*25/(4*25) = 1/4

Hence, the probability that the first spin lands on gray and the second spin lands on blue in its simplest form is 1/4

Answer:

Step-by-step explanation:

P= (l+w)

56 = 2(l+8)

56=2l+8

56-8= 2l

48=2l

Length=24

Area = ?

A = l×w

A=24×8

Area= 192inches²