3. A parking fee at SM Lucena costs P25.00 for the first two hours and an extra P5.00
for each hour of extension. If you park for more than twelve hours, you instead
pay a flat rate of P100.00. Represent your parking fee using the function pit)
where t is the number of hours you parked in the mall.
Answer:
(Fill in the missing terms to show the
25 if
p(t) =} (25 + 5t) if
ift > 12
piecewise function of the problem)​

Answers

Answer 1

Answer:

p(t) = 25 + 5t if t ≤ 12

p(t) = 100 if t > 12

Step-by-step explanation:

Given

1. When time is not more than 12 hours.

Base amount = P25

Additional = P5 per hour

2. When time is more than 12 hours

Fee = P100 one time payment

Represent (1) as a function of t.

p(t) = Base Amount + Additional * t

p(t) = 25 + 5 * t

P(t) = 25 + 5t --- when t ≤ 12

Represent (2) as a function

P(t) = 100 ---- when t > 12

So, the complete function is

p(t) = 25 + 5t if t ≤ 12

p(t) = 100 if t > 12


Related Questions

What do the two lines in the graph below have in common?

Answers

Answer: Parallel and same slope

Step-by-step explanation: Parallel means that the lines will never cross, which is shown in the picture. Basically they won't intersect.

branliest plssss :)

Clue 1: The GCF of the mystery pair is 7. Clue 2: The LCM of the mystery pair is 70. Clue 3: Both of the numbers in the mystery pair have two digits. Clue 4: One of the numbers in the mystery pair is odd and the other is even. What is the mystery pair?

Answers

Answer:

14 and 35 I believe.

Since the GCF of 14 and 35 is 7, the LCM is 70 (14×5 and 35×2), they both have 2 digits, and one is even (14) and the other is odd (35).

I hope this helped!

The mystery pair would be required for numbers 14 and 35.

What is HCF?

The highest common factor is defined as the set of numbers with the highest common multiple. The highest positive integer with more than one factor in the set is HCF.

What is Prime Factorization?

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

We need to write 70 as the product of its prime factors, which is 70.

⇒ 2 × 5 × 7

14 × 5 and 35 × 2

Given that the GCF of the mystery pair is 7

And the LCM of the mystery pair is 70.

Here the GCF of 14 and 35 would be 7

As per the given condition,

The required numbers in the pair have two digits,

Therefore, the even number is 14, and the odd is 35.

Hence, the mystery pair would be required for numbers 14 and 35.

Learn more about the highest common factor here:

https://brainly.in/question/3803222

#SPJ2

Find the distance between thE two coordinates A(2,6),N(5, 10)

Answers

Using it's formula, the distance between the points A(2,6) and N(5,10) is of 5 units.

What is the distance between two points?

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

For this problem, the points are A(2,6) and N(5,10), hence the distance is given by:

[tex]D = \sqrt{(5 - 2)^2+(10 - 6)^2}[/tex]

D = sqrt(3² + 4²)

D = sqrt(25)

D = 5.

The distance between the points A(2,6) and N(5,10) is of 5 units.

More can be learned about the distance between two points at https://brainly.com/question/18345417

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I NEED HELP PLEASE HELP IF YOU CAN ASAP

Answers

Answer:

C. None of these

Step-by-step explanation:

of one
has 30 days
The month of November
sunday
day is chosen at random, what is the
probability that was a sunday​

Answers

Answer:

1/6 or 16 %

Step-by-step explanation:

hope this helps

Answer:

We know that

November has 30 days, which means 4 weeks and 2 days.

Step-by-step explanation:

Now, 4 weeks will contain 4 Sunday.

The remaining 2 days may be :

1. Sunday and Monday

2. Monday and Tuesday

3. Tuesday and Wednesday

4. Wednesday and Thursday

5. Thursday and Friday

6. Friday and Saturday

7. Saturday and Sunday

Total number of possible outcomes = 7

Now, favourable outcomes are : Sunday and Monday, Saturday and Sunday

Number of favourable outcomes = 2

Required probability (P)= Number of favourable outcomes /Total number of possible outcomes

P = 2/7

The measure of an angle is 108°. What is the measure of a supplementary angle?

Answers

Answer:

72 degrees

Step-by-step explanation:

180-108=72

where I got 180: a supplementary angle is 180 degrees

Answer plz x thanks x

Answers

to solve this you would use pythagorean theorm which is a^2+b^2=c^2.

The hyotenuse is obviouly 11 and one of the side lengths is 4 so you would put 4^2+b^2=11^2 which is 16+b^2=121. You subtract 16 to get b^2 = 105 and then square root both sides, So the answer would be √105.

Based on a graph below which sequence of transformation is needed to carry ABCD onto its image A’B’C’D?

Answers

Given:

The vertices of ABCD are A(2,3), B(5,6), C(8,6) and D(8,3).

The vertices of A'B'C'D' are A'(-2,6), B'(-5,3), C'(-8,3) and D'(-8,6).

To find:

The sequence of transformation is needed to carry ABCD onto its image A’B’C’D.

Solution:

The vertices of ABCD are A(2,3), B(5,6), C(8,6) and D(8,3).

If figure ABCD translated by the rule, [tex](x,y)\to (x,y-9)[/tex], then

[tex]A(2,3)\to A_1(2,-6)[/tex]

[tex]B(5,6)\to B_1(5,-3)[/tex]

[tex]C(8,6)\to C_1(8,-3)[/tex]

[tex]D(8,3)\to D_1(8,-6)[/tex]

Then the figure rotated 180 degrees clockwise about the origin. So,

[tex](x,y)\to (-x,-y)[/tex]

[tex]A_1(2,-6)\to A'(-2,6)[/tex]

[tex]B_1(5,-3)\to B'(-5,3)[/tex]

[tex]C_1(8,-3)\to C'(-8,3)[/tex]

[tex]D_1(8,-6)\to D'(-8,6)[/tex]

So, the required sequence of transformation that is needed to carry ABCD onto its image A’B’C’D is " A translation by the rule [tex](x,y)\to (x,y-9)[/tex] and then a 180° clockwise rotation about the origin".

Therefore, the correct option is D.

Carla is ordering pizzas for delivery. Each pizza costs $8, and there is a $6 delivery charge for the order. Write the function f(x), that Carla can use to determine the amount she will pay for having x pizzas delivered.

Answers

Answer:

8x+6

Step-by-step explanation:

Because each pizza is $8 you would have to multiply 8 by the amount of pizzas. Then you add the six because you only pay for the delivery charge once.

PLZZZ I NEED HELPP THANK YOU SO MUCH

Answers

Answer: A.) B.) D.)

Step-by-step explanation:

It's logic. If you know multiplication it's easy. It's okay I'm horrible at math.

F(x)= 3x^2+5x-8. Solve the quadratic equation

Answers

Answer:

             [tex]\bold{x_1=1\ ,\quad x_2=-\dfrac83}[/tex]

Step-by-step explanation:

[tex]3x^2+5x-8=0\quad\implies\quad a=3\,,\ b=5\,,\ c=-8\\\\x=\dfrac{-5\pm\sqrt{5^2-4(3)(-8)}}{2\cdot3}=\dfrac{-5\pm\sqrt{25+96}}{6}=\dfrac{-5\pm\sqrt{121}}{6}\\\\ x_1=\dfrac{-5+11}{6}=1\ ,\qquad x_2=\dfrac{-5-11}{6}=\dfrac{-16}6=-\dfrac83[/tex]

Point Q' is the image of (-5,1) under a translation by 6 units to the right and 2 units down

Answers

Answer:

The object coordinate Q is (-11,3 )

Step-by-step explanation:

The translation is given as : ( 6,-2 )

The image coordinates for Q' is ( -5,1 )

So, to get the coordinates of object point Q (x,y), will be;

 Q (x,y)  + ( 6,-2 )---translation --------------⇒image Q' ( -5,1 )

Thus,

x+6 = -5

x= -5-6= -11

and

y+ -2 = 1

y-2=1

y=1+2 =3

Thus the object point coordinates Q is (-11,3 )

If 3x - 8 = 9x+5/2, what is the value of x+ 7?

Answers

See attachment for math work and answer.

Find two consecutive integers such that the sum of one-fourth of the first and one-fifth of the second is 11. PLS ANSWER.​

Answers

Answer:

24 and 25

Step-by-step explanation:

1/4 of 24 = 6

1/5 of 25 = 5

6 + 5 = 11

PLEASE HELP W MY MATH FINAL! NO EXPLANATION NEEDED :))

TY

Answers

Answer:

nothing in the first blank +3 or 3 in the second blank and +1 or 1 in the last blank

Step-by-step explanation:

Can someone check to see if I got this right?!??

Answers

Answer:

yes!

Step-by-step explanation:

hi, that is correct. 3800 is a constant, meaning it is consistent and the initial height of the plane before it starts its descent.

Yes, 3800 is a constant

What’s the unit rate of 2 1/3 miles in 2 hours

Answers

Answer:

7/6 miles

Step-by-step explanation:

As, Distance for 1 hour = x

For 2 hours = 2 1/3

For 2 hours = 2(x)

So, 2(x)= 2 1/3

2(x)= 7/3

So, x = 7/3 ÷ 2

So x= 7/3 x 1/2

Therefore, x = 7/6

Final answer= 7/6 miles per hour

What is the value of x?
(5х)

110°
110°
70
14

Answers

Answer:

The answer to your question is :The value of 5× = 110°

were asked whether they like cricket (C) and football (F). The number liking both cricket and football was three times the number liking only cricket. Adding 3 to the number liking only cricket and doubling the answer equals the number of people liking only football. Four said they did not like sport at all.
a Draw a Venn diagram to represent this information. b Calculate n(C ∩ F).
c Calculate n(C ∩ F').
d Calculate n(C ' ∩ F).

Plzzzz help me

Answers

i need points sorry...

help which one is it

Answers

Answer:

I think it's 3 units to the left and 6 units down

Step-by-step explanation:

Hope I helped!

x/8 -4 =7/16 x=

PLEASE HELP I WILL MARK BRAINLIEST

Answers

Answer:

Exact form: x = [tex]\frac{-64}{5}[/tex]

Decimal form: x = -12.8

Mixed number form: x = -12[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

hope this helps :)

Answer:

x = - [tex]\frac{64}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x}{8}[/tex] - 4 = [tex]\frac{7}{16}[/tex] x ( multiply through by 16 to clear the fractions )

2x - 64 = 7x ( subtract 2x from both sides )

- 64 = 5x ( divide both sides by 5 )

- [tex]\frac{64}{5}[/tex] = x

prove that theta=l/r radian​

Answers

what are you asking
i’m confused
the angle subtends, s, divided by the radius of the circle, r. One radian is the central angle that subtends an arc length of one radius (s = r). ... The arc measure of the central angle of an entire circle is 360º and the radian measure of the central angle of an entire circle = 2π.




I hope my answer helped . Give me brainliest please .

Aanya wrote the four equations that are shown below.

A

6 x minus 8 = 4 (x minus 2) + 2 x
B

3 (x minus 1) + 2 x = 3 (x minus 1) + 2

C

7 x + 2 minus x = 6 (x + 2)
D

4 (x + 3) + x = 5 (x + 1) + 7

She examined them, without solving them, to determine which has exactly one solution. Which of Aanya’s equations has exactly one solution?
6 x minus 8 = 4 (x minus 2) + 2 x
3 (x minus 1) + 2 x = 3 (x minus 1) + 2
7 x + 2 minus x = 6 (x + 2)
4 (x + 3) + x = 5 (x + 1) + 7

Answers

Answer:      

B

Step-by-step explanation:

.' )

Answer:

The answer is B.

Step-by-step explanation:

I just took the test.

help pls ?? anyone ?? :(

Answers

7.  yes

8. yes

9. no

10. no

b because it just is i took this

√64
A. 4√2
B. 8
Which one? ​

Answers

Answer:

Its B.

Step-by-step explanation:

If its right plz give me Brainliest :)

Answer:

√64 = 8

Step-by-step explanation:

The Square root of 64 is 8

Square of ( +/-8) is 64. Since the negative numbers inside square root results in an imaginary number, so the square root must be positive and hence +8 is a square root of 64. The Answer is 8.

What is the simplest radical form of the square root of 64?

The "simplest radical form" of √64 is √26 if we define "simplest form" as a radical of a prime to an integer power.

Pls I need this ASAP! I’ll mark brainliest!



What is the sum of 4/10x + -1x + 1 7/10x?

Answers

Answer:

I think its 11x/10

Step-by-step explanation:

Write the equation of the line in point-slope form that passes through the
given point with the given slope.
(-4, 3); m = 2

Answers

Answer:

y = 2x + 11

plug the values into y = mx+b:

3 = 2(-4) + b

solve, and you get

3 = -8 + b

b= 3+8 = 11

so, the equation is y = 2x+11

the answer is y= 2 x + 11

How many degrees are in one interior angle of a regular octagon?

Answers

Answer:

135

Step-by-step explanation:

this is the formula:

to find the sum of the interor angles of any polygon

180(n-2)

n= the number of sides a polygon has

you can find each indivual angle value or measure by dividing that sum you get by n

Answer:

135 degrees :)

Step-by-step explanation:

what is the value of the power a if 5a = 1/125?

Answers

Answer:

If

5

a

=

1

125

, find the value of a?

Step-by-step explanation:

There is a base f

5

on the left side, so write the denominator on the right as a base of

5

as well.

5

a

=

1

125

5

a

=

1

5

3

Move the base to the numerator.

5

a

=

5

3

If the bases are equal, the indices are equal:

a

=

3

- 1 1/4 divided by 36

Answers

-11/4= -2.75
-2.75 divided by 36 = -0.07638 with the line on top because the 8 repeats
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