3
Evaluate the function f(x) = (x + 2)2 for the given inputs.
a. f(5)=
b. f(-3) =
c. f (x+3) =

Answer:

Option 4: (0, 5]

Step-by-step explanation:

Given the inequality notation, 0 < x ≤ 5 :

We know that using the open- and closed-parenthesis, "(  )" are used to express interval notation for which the endpoints are not included as part of the solution.  Hence, the open- and closed-parenthesis are associated with the inequality symbols, less than (>) or greater than (<), as you do not include the endpoints when these inequality symbols are used.

In contrast, the open- and closed-brackets, "[     ]" are used to express interval notation for which the endpoints are included as part of the solution.  Hence, the open- and closed-parenthesis are associated with the inequality symbols, less than or equal to (≤), and greater than or equal to (≥).

In the inequality notation, 0 < x ≤ 5, the endpoints are 0 and 5.  

The inequality symbol between 0 and x is "<," which means that we must use an open parenthesis, " ( " for the endpoint, 0.

While the inequality symbol between x and 5 is "≤," which means that we must use an closed bracket, " ] " for the endpoint, 5.

Therefore, the correct answer is Option 4: (0, 5].

Answer:

Step-by-step explanation:

39 people / 3 people /pizza = 13 pizzas

13 pizza($14 / pizza) = $182

Answer:

The test statistic is 23

Step-by-step explanation:

Best way to understand this is to think of a sample and it's purpose;

You take a sample to get information that can be extrapolated to apply to the whole population;

So, for example, you have a factory making light bulbs, and you want to find out how long they last;

You would take a number of light bulbs from the production line, i.e. a sample, and test these;

It would be impossible to test every light bulb as this would take too long and there would be none left unused to sell, i.e. it would not be feasible or viable to do;

You would then find a mean of these times from the sample, and then extrapolate and assume it to be the duration of any light bulb coming off the production line;

The sample is the handful of light bulbs chosen to test;

The test statistic refers to the quantity or value, calculated from the sample data, this would be the mean light bulb duration in the light bulbs example;

Similar and yet different to a test statistic, a population parameter refers to a quantity or value calculated from population data;

A population refers to all members of a particular group of objects/items, so in the example, it would be all the light bulbs produced;

The population parameter would refer to the mean calculated based on data from the population (i.e. all the light bulbs produced);

Realistically, it is impossible to determine a population since it would be unviable in the practically all cases, as we can see in the example;

This value is almost always theoretical and would be assumed from a test statistic in any real scenario.

Answer:

It has a total of 4 the factors are 1,3,5, and 15

Answer:



h

=

3

r

=

4



h

=

2

r

=

6



h

=

4

l

=

4

w

=

4

Step-by-step explanation:

Answer:

You have to switch sides so the answer is x<z+9

Step-by-step explanation:

Answer:17/18

Step-by-step no explation

Answer:

not congruent

Step-by-step explanation:

The two triangles have a common side. That makes 1 pair of congruent sides.

The triangles have another pair of congruent sides that is shown.

There is also 1 pair of congruent angles.

Since there is no SSA method of proving triangles congruent, the answer is the first choice:

not congruent

Answer:

  59y² -65y

Step-by-step explanation:

The area of a rectangle is the product of length and width. The shaded area will be the difference between the areas of the larger and smaller rectangles.

  A = (6y)(14y -5) -(5y +7)(5y)

  A = 84y² -30y -(25y² +35y)

  A = (84 -25)y² +(-30 -35)y

  A = 59y² -65y

Answer:

Trail Mix costs $2.50 per pound, and Jelly Beans cost $1.50 per pound.

Step-by-step explanation:

Using x for trail mix and y for jelly beans, we have a system of equations being

[tex]\left \{ {{5x+3y=17} \atop {2x+12y=23}} \right.[/tex]

We can solve this system using substitution

5x+3y=17

Divide by 5 to have a coefficient of 1 before x

[tex]x+\frac{3}{5} y=\frac{17}{5}[/tex]

Subtract [tex]\frac{3}{5} y[/tex] from each side to single out one variable to one side

[tex]x=\frac{17}{5} -\frac{3}{5} y[/tex]

Now, we can plug in our value for x into the given equation

[tex]2(\frac{17}{5} -\frac{3}{5} y)+12y=23[/tex]

Open the parentheses

[tex]\frac{34}{5} -1\frac{1}{5} y+12y=23[/tex]

Merge Y values

[tex]6.8+10.8y=23[/tex]

Separate numerical values from variables

[tex]10.8y=16.2[/tex]

Divide by 10.8 in order to have a coefficient of 1

[tex]y=1.5[/tex]

Now that we have one of the values, we know that a pound of jelly beans costs $1.50. We can now plug in 1.5 for y into one of our equations to find x.

[tex]5x+3(1.5)=17[/tex]

Open parentheses

[tex]5x+4.5=17[/tex]

Single out the variable

[tex]5x=12.5[/tex]

Divide by 5 to have a coefficient of 1 before x

[tex]x=2.5[/tex]

[tex]y=1.5[/tex]

Answer:

80+4+0.7+0.06

There is no step by step.

Answer:

3/4 is the slope

Step-by-step explanation:

slope= mx+b

so,

(10,30) is an exact meet

so is (50,60)

so what is the rise/run

answer

30/40

or

3/4

so mx+b=

3/4x+22

full equation is 3/4x+22

Answer: = -3

Step-by-step explanation:

Answer:

The vertical intercepts is

(4/3,0) (3,0) (1,0)

The horinzontial intercepts is

(0,72)

Step-by-step explanation:

The vertical or y intercepts will be zeroes of the following factors.

3x+4=0

x-1=0

(x-3)^2=0

We solve for x each time

x=-4/3

x=1

x=3

Part B). We need to find the intercepts by setting the equation equal to zero.

The constant expanded will equal 72.

If x=0,

0y=0

where y is any real number.

So this means all the exponets will equal 0. The constant will just add to the term. so our horinzontal intercept is

Answer:  make me brainlist

Step-by-step explanation: CCCCCCC

Answer:

Approximately 40,069 days

Answer:

15

Step-by-step explanation:

15 can go into 90, 6 times. It is neither a multiple of 6 or 9. It is larger than 10 and smaller than 20.

1/10

10% is 10/100 which simplifies to 1/10

Answer:

1/10

Step-by-step explanation:

it would be 1/10. reduce the fraction by 10

Answer:

d

Step-by-step explanation:

Answer:

20 quarters quarters 14 nickles

Answer:

Step-by-step explanation:

18 - 7p = ?

Answer:

See image

Step-by-step explanation:

On line 3, the reason is filled in that "All right angles are congruent" so kind of working backwards, the statement must say that two right angles are congruent. Use the angles in the previous two statements. Line 4 has the statement completely filled in, the reason is bc it is given in the list of given statements beside the diagram. Line 5 says that RT is congruent to itself. That is reflexive property, like a reflection in a mirror. Same ~= same.

You can see from the markings on the image that you have Angle-Side-Angle, which is one of several ways that we can show that triangles are congruent. ASA is what is shown in statements 1-5. See image.

In the exercise Maxwell children want to calculate the estimated amount or budget placed on one person coming to the  anniversary party for their parents.

The number if guest will be 50 guests

Given data

quoted price = $96 per person

Let the total bill be x

one-fourth of the total bill = 1/4*x

advance payment is $1200 = 1/4x------------1

Let us find the total bill which is x

$1200 = 1/4x

cross multiply

1200*4 = x

x = 4800

if the budget per person is $96

Hence the total expected guest will be = 4800/96

50 guests

Learn more about algebra here :

https://brainly.com/question/6143254

Answer:

288 per month i guess 17280

Step-by-step explanation:

Answer:

5,00000000

Step-by-step explanation:

6000000000