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

Answers

Answer 1

Answer:

a. 49

b. 1

c. x^2+10x+25

Step-by-step explanation:

Symply substitute the values (5, -3, x+3) in the equation (x+2)^2


Related Questions

A store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 3 pounds of jelly beans, the total cost is $17. For 2 pounds of trail mix and 12 pounds of jelly beans, the total cost is $23. Find the cost for each pound of trail mix and each pound of jelly beans.

Answers

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]

Need it now ‼️‼️‼️‼️will give brain list to who ever answers first

Answers

Answer:17/18

Step-by-step no explation

Please answer: The Maxwell children have hired a caterer to provide food for an anniversary party for their parents. The caterer has quoted a price of $96 per person and is asking for an advance payment of one-fourth of the total bill. If the advance payment is $1200, how many guests are invited to the party?

Answers

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

How many factor pairs does 15 have

Answers

Answer:

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

What is the monthly payment for a 5 years 3,200 loan with a 9% APR?

Answers

Answer:

288 per month i guess 17280

Step-by-step explanation:

subtract 8 and 1/5 - 4 2/5

Answers

Answer: = -3

Step-by-step explanation:

Help with this problem

Answers

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

(0,72) is the correct answer

eighteen minus the product of 7 and a number, p.

Answers

Answer:

Step-by-step explanation:

18 - 7p = ?

State if the two triangles are congruent. If they are state how you know.
Help me

Answers

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

A water polo team threw a pizza party after winning the championship. They needed enough pizza for 39 people. Each pizza serves 3 people and costs $14. How much did the pizza cost all together?

Answers

Answer:

Step-by-step explanation:

39 people / 3 people /pizza = 13 pizzas

13 pizza($14 / pizza) = $182

7.
The transformation described below adds 1 to the x-coordinate and doubles the y-coordinate of any given point.
(x,y) → (x + 1, 2y)
2
What is the effect of this transformation on distance and angle measure?
A. It preserves angle measure but does not preserve distance.
B. It preserves neither distance nor angle measure.
C. It preserves both distance and angle measure.
D
It preserves distance but does not preserve angle measure.

Answers

Answer:  make me brainlist

Step-by-step explanation: CCCCCCC

solve the inequality z + 9 > 6 z > ?

( Equations and Inequalities )

Answers

Answer:

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

Step-by-step explanation:

Find the polynomial for the shaded area of the figure

Answers

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

CAN SOMEONE HELP ME OUT I BEG U

Answers

Answer:

d

Step-by-step explanation:

Which expression is equivalent to f+f-5f

Answers

It won’t let me answer

If I take 1 hour to cook a batch of cookies and I have 15 ovens working 24 hours a day every day for 5 years, how long does it take me to make 6000000 batches of cookies?

Answers

Answer:

Approximately 40,069 days

A car travels at an average speed of 52 miles per hour. How long does it take to travel 234 miles

Answers

speed = distance/time

so to work out time you do distance/ speed

234/52= 4.5hours

what number I am if I am a factor of 90 but not a multiple of 6 and 9 i am greater than 10 but smaller than 20​

Answers

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.

PLEASE HELPPPP. I really need it

Answers

Answer:

Option 4: (0, 5]

Step-by-step explanation:

Given the inequality notation, 0 < x ≤ 5 :

Definitions:open- and closed-parenthesis "(  )"

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.

open- and closed-brackets "[     ]"

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 ().

Explanation:

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].

write me 2 equivalent fractions of 1/3=_=_

Answers

1/3 = 2/6 = 4/12

Multiply both sides by 2 to get 2/6 and both sides by 4 to get 4/12

Kevin and Randy Muise have a jar containing 34 coins, all of which are either quarters or
nickels. The total value of the coins in the jar is $5.30. How many of each type of coin do
they have?

Answers

Answer:

20 quarters quarters 14 nickles

Please help!! I will give a good rating and brainliest if it let's me!!!!

Answers

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

The total cost for a piece of land is 600000. If the land is 100 meter shorter and each meter costs 1000 more the total cost would remain unchanged. Use a quadratic equation to determine the length of the land.

Answers

Answer:

5,00000000

Step-by-step explanation:

6000000000

A researcher testing a hypothesis that the population mean is 25 takes a sample of size 36 and obtains a sample mean of 23 with an estimated standard error of 4. What is the observed value of the test statistic

Answers

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.

5. What is the correct expanded form for the number 84.76?
80 + 4 + 0.07 + 0.006
80 + 4 + 0.7 + 0.06
0 +
800 + 40 + 0.7 + 0.06
O 80 + 4 + 0.7 + 0.6
4

Answers

Answer:

80+4+0.7+0.06

There is no step by step.

Find x given the prism has a surface area of 286 in². Explain your thoughts

Answers

Answer:

h

=

3

r

=

4

h

=

2

r

=

6

h

=

4

l

=

4

w

=

4

Step-by-step explanation:

Rational exponents of 2161/3?​

Answers

2161/3= 720,(3)
Ok done. Thank to me:>

How would 10% be written as a fraction?

Answers

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

Add: 34.05 + 9.068
Thank you in advance

Answers

34.05 + 9.068 = 43.118
Adding all the numbers is Answer is 43.118

Please help me prove that RST is congruent to RUT!

Answers

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.

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