Consider the function f(x) = x² + 3x - 7. Find the value of f(x) when x = 3 and select the correct answer below. (5 points)
05
8
11
18

Answer:   [tex]6\sqrt{3}[/tex]

Reason:

For any 30-60-90 triangle, the long leg is exactly [tex]\sqrt{3}[/tex] times as long compared to the short leg.

In other words,

[tex]\text{long leg} = (\text{short leg})*\sqrt{3}[/tex]

In this case, the short leg is 6 units long. The short leg is always opposite the smallest angle 30 degrees. Once again, this only applies to 30-60-90 triangles.

Answer:

The nearest whole number is 830.

We have a three digit -  829.9.

We have to convert it into nearest whole number.

Step-by-step explanation:

Trina should buy the $6 packages to get 24 necklaces for the least price as calculated by using multiplication and division.

From the attached table let us calculate the cost of buying necklaces in the various packages by using multiplication and division.

For the $4 package:

Number of necklaces in the package = 3

Number of packages Trina should buy (division used) = 24 ÷ 3 = 8

Cost of 8 packages =$ 4 × 8 = $ 32

For the $5 package:

Number of necklaces in the package = 4

Number of packages Trina should buy(division used) = 24 ÷ 4 = 6

Cost of 8 packages =$ 5 × 6 = $ 30

For the $6 package:

Number of necklaces in the package = 6

Number of packages Trina should buy(division used) = 24 ÷ 6 = 4

Cost of 8 packages =$ 6 × 4 = $ 24

Therefore buying the $24 package is the cheapest.

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Answer:

Step-by-step explanation:

20 divided by 5x20+10=90

Answer:

90

Step-by-step explanation:

this is easiest if you know your order of operations PEMDAS so there are no parenthesis or exponents so next is multiplication and division. so 20/5= 4 then 4*20 is 80 and 80+10=90.

here's an easy way to remember PEMDAS

Please Excuse My Dear Aunt Sally

Answer:

F(x) = -6x - 3

F(x) = -6(-8) - 3

F(x) = 48 - 3

F(x) = 45

The expression for m from the given equation is m = E/o^2

The subject of formula is a way of representing a variable with another variable

Given the equation

E = mo^2

We are to make m the subject of the formula. To do that, we will divide both sides of the equation by o^2 to have:

E/o^2 = mo^2/o^2

E/o^2 = m

Swap

m = E/o^2

Hence the expression for m from the given equation is m = E/o^2

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Answer:

M/paws= (3x-3) and m/rqs

=(x+19).

the value of x is

Step-by-step explanation:

The correct answer for given question is 6.

If every element of a non-empty set X has only one image or range to a non-empty set Y, a relation 'f' is said to be a function.

Or

If 'f' is the function from X to Y and (x,y) f, then f(x) = y, where y is the image of x and x is the preimage of y under function f. It is written as;

f: X → Y.

In accordance with the conditions stated in the question:

f(x) = 3x^2 and g(x) = 4x^3 + 1

The composition of functions is defined as fog(x) = f(g(x)), where the input for the function f(x) is the actual expression of the function g(x) in terms of "x":

f(g(x)) = f(4x^3 + 1)

f(g(x)) = 3(4x^3 + 1)^2

f(g(x)) = 3(4x^3 + 1) (4x^3 + 1)

f(g(x)) = 3(16x^6 + 8x^3 + 1)

f(g(x)) = 48x^6 + 24x^3 + 3

Therefore, the degree of the given expression is 6 (the highest power of the variable ‘x’)

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Answer:

Step-by-step explanation:

The points up to now are

94+82+87−2=261

Explanation:

Kiko must make up the difference:

360−261=99

points.

The parallel lines are y = 2x + 3 and y = 2x - 5

The given equations are linear equations

Linear equations are represented as

y = mx + c

Where the slope of the linear equation is

Slope = m

Linear equations that have the same slope are parallel

This means that y = mx + c and y = mx + b are parallel lines because the slopes of the linear equations is m

Using the above as a guide, the parallel lines are y = 2x + 3 and y = 2x - 5

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The present ages of Ann and Julie are 12 years and 8 years, respectively.

Let x, y be the current ages of Ann and Julie, whose features are synthetized in the following linear equations:

Ann is 4 years older than Julie

x = y + 4

x - y = 4                                (1)

4 years ago, Ann was twice as old as Julie

x - 4 = 2 · (y - 4)

x - 4 = 2 · y - 8

x - 2 · y = - 4                         (2)

Now we proceed to determine the ages of Ann and Julie by solving the system of linear equations: (x, y) = (12, 8)

The present ages of Ann and Julie are 12 years and 8 years, respectively.

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Answer:

122 degrees

Step-by-step explanation:

43 + 15 = 58 - 180 = 122

The independent variable x ,represents minutes and dependent variable is the number of candies eating by Levi because the eating of candies depends on the minutes.

A function relating these variable is Z(x)=4x

So Z(7)=28 meaning In 7 minutes Levi ate 28 candies and number of candies left in the bag is 22.

As given,

Independent variable=x

Dependent variable=Z(x)

Function Z(x)=4x

So, Z(7)=4×7

            =28

Candies left in bag =50 -28

                              =22

Therefore, function relating independent variable x with Z(x)=4x  and Z(7)=28 represents number of candies ate by Levi in 7 minutes ,number of candies left in the bag is 22.

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1/3 is equal to 0.3333333...

1/10 is equal to 0.1

If you subtract the two you will get a fraction equal to 0.23333333...

[tex]\frac{1}{3} - \frac{1}{10} \\\\[/tex]

Get a common denominator

[tex]= \frac{10}{30} - \frac{3}{30}[/tex]

Then combine them

[tex]= \frac{10-3}{30}\\\\= \frac{7}{30}[/tex]

Your answer is [tex]\frac{7}{30}[/tex]

Answer: 31 times

Step-by-step explanation:

Answer:

$31.6666667

Step-by-step explanation:

$64 - $16.50 =$47.5

$47.5÷$1.50 =$31.6666667

i used a calculator

Answer:

18

Step-by-step explanation:

value of x 10

10x-12=10*10-12

=32

7.86 liters  of purple paint in each container.

volume of red paint is 8.54 liters.

volume of blue paint is 8.31 liters.

Number of container taken is 2 container.

Paint left after equally poured in 2 container.

and we have to find how many liters of paint are in each container.

Volume of RED Paint + Volume of BLUE Paint =  Volume of PURPLE Paint

8.54 liters + 8.31 liters = 16.85 liters.

(16.85/2) - (1.13/2) = 15.72/2

                            =7.86 liters

7.86 liters of purple paint in each container.

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Answer:

1. 5h

2. 4h

3. h

4. ht

5. hx (x + 1)

Step-by-step explanation:

Answer: f(x)=x^2+2x+1 and g(x)=-x^2+1 ==> 1st option

Step-by-step explanation:

Both are quadratic equations: -x^2 or x^2

Blue graph: x^2 since it's facing up

f(x)=(x-b)^2

Vertex: When x=-1, y=0 ==> 0=(-1+b)^2

0=-1+b

b=1

f(x)=(x+1)^2

f(x)=(x+1)(x+1)

f(x)=x^2+x+x+1

f(x)=x^2+2x+1

Red graph: -x^2 since it's facing down

g(x)=-x^2+b

Vertex: When x=0, y=1 ==> 1=(0)^2+b

1=0+b

b=1

g(x)=-x^2+1

f(x)=x^2+2x+1 and g(x)=-x^2+1 ==> 1st option

Answer:

answer [-19]d + [4]p +[2]

Answer:

[tex]-9d-4p-6-10d+8=-19d-4p+2[/tex]

Step-by-step explanation:

[tex]-9d-4p-6-10d+8[/tex]

[tex]=-9d-10d-4p-6+8[/tex]

[tex]=-19d-4p-6+8[/tex]

[tex]=-19d-4p+2[/tex]

So the answer would be -19d-4p+2

hopefully this helps you ~

The measure in linear-regression analysis that provides the percent of variation in the dependent variable as explained by the regression equation is the Coefficient of Determination.

This is a measure that allows us to see just how much the variation in the dependent variable, is as a result of the independent variable and is therefore explained by the regression equation.

The Coefficient of Variation is very important because it helps to show the usefulness and accuracy of the regression equation model.

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Answer:

16

Step-by-step explanation:

Given that the total number of seats in an auditorium is modeled by the following equation:where x represents the number of rows of seats.We are to find the number of rows are there in the auditorium with a total of 416 seats.So, we are to find the value of x if f(x) = 416.

Since the number of rows cannot be negative, so the required number of rows in the auditorium is 16.Thus, the number f rows is 16.

The equation of the tangent line to the curve at the given point is given by: y = x + 1.

Now,

Given:

To find: Equation of a tangent line through the given point.

Finding:

y = [tex]e^{x}[/tex] cos(x)

By product rule of differentiation, y' = [tex]e^{x} sin(x) +e^{x} cos(x)[/tex]

For x = 0, y' (0) = 1 (0) + 1( 1) = 1 = slope of the line

Now, we know: equation of a line is given by:

[tex](y-y_0)=m(x-x_0)[/tex]

For [tex]x_0 = 0 And y_0 = 1[/tex], The equation of the tangent line will be:

=> y - 1  = 1 (x - 0)

=> y - 1 = x

=> y = x + 1

Hence, The equation of the tangent line to the curve at the given point is given by: y = x + 1.

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1/3 is the probability of rolling either a 5 or a 6 using a normal six-sided die.

Probability can be defined as the ratio between the number of favorable outcomes and the total number of outcomes of an event.

Given:

Six-sided dice rolled once

Let n be the number of outcomes

let x be the number of favorable outcomes

We know that,

[tex]Probability=\frac{x}{n}[/tex]

When the six-sided dice roll, The possible outcomes are,

[tex]\{1,\;2,\;3,\;4,\;5,\;6\}[/tex]

Therefore,

[tex]Number\;of\;outcomes,\;n=6[/tex]

[tex]Probability\;rolling\;5\;is\;\frac{1}{6}[/tex]

[tex]Probability\;rolling\;6\;is\;\frac{1}{6}[/tex]

Therefore, Probability of rolling either 5 or 6 is,

[tex]P(5\;or\;6)=\frac{1}{6} +\frac{1}{6}[/tex]

[tex]P(5\;or\;6)=\frac{2}{6}[/tex]

[tex]P(5\;or\;6)=\frac{1}{3}[/tex]

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Answer:

30 pieces

540 inches of ribbon in total

Step-by-step explanation:

1 foot = 12 inches

9 feet of ribbon = (9x12) 108 inches of ribbon (1 roll)

5 x 108 = 540 inches of ribbon (in total)

540 / 18 = 30

30 pieces of ribbon

Answer: 4^15

Step-by-step explanation:

(4^3)^5=

4^(3*5)=4^15

Answer:

1.6

Step-by-step explanation:

| -1.6 | = 1.6