Liam is reading a detective novel by his favorite author. He started reading page 1 at 7 o’clock, and after 1/4 of an hour, he had read 9 pages of the book. If he continues to read at this pace, which of the following pages will he have read by 8 o’clock? Place a check mark in the box next to each that applies.




A. page 12, where we meet the hero, Detective Sam Diamond
B. page 20, where a priceless piece of art is stolen
C. page 38, where we find out that the piece of art stolen is a forgery
D. page 67, where Detective Diamond’s innocent client is blamed for the theft
E. page 84, where Detective Diamond catches the real thief

The quadratic function represented by the graph as given in the attached image is; Choice C; y = 2x² - 10x + 12.

It follows from the task content that the quadratic function which is represented by the graph be determined.

Since the quadratic function can be modelled as follows; y = a (x - p) (x -q) where; a is a constant, and p and q are the roots of the quadratic function.

Hence, since it follows that the roots are 2 and 3; we have;

y = a (x - 2) (x -3)

Hence, to determine the value of constant, a, we must substitute the values defined by the point given; (1, 4) as follows;

4 = a (1 -2) (1 -3)

4 = a(-1) (-2)

4 = 2a

a = 2.

On this note, the required equation is; y = 2 (x - 2) (x - 3).

Ultimately, the required quadratic function is; Choice C; y = 2x² - 10x + 12.

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Answer:

539,900 if thats what you're looking for.

Step-by-step explanation:

Answer:

539900

Step-by-step explanation:

The answer is J. When the circle on the graph is filled in, that means that number is included in the solution.

25x </= 300

Divide both sides by 25

x </= 12

Answer: J

Number line J. beast represents the solution to the inequality.

Step-by-step explanation:

Have a nice day!

Give the other person brainliest! :-)

I hope this helps- i need to write words so here this lol yep yep have a nice day- :)

Answer:

The original number was -8

Step-by-step explanation:

You can find this out because -8 divided by 2 is -4 and then plus 10 would become 6

Answer:

-8

Step-by-step explanation:

We know that Sara has a number by which she divides by 2, added 10 and ended up with 6. We are then asked to find the original number she had in mind.

To solve, we need to go backwards, starting with the original number, and applying all the steps she did but with the opposite operation.

6 is her ended number, we know before she added 10, so subtract 10 from 6:

[tex]6-10=-4[/tex]

Now we know that she divided by 2, therefore multiply -4 by 2:

[tex]-4*2=-8[/tex]

-8 was Sara's first number.

Answer:

It would be 1/35.

Step-by-step explanation:

You turn 5 into 1/5 and then multiply 1/7 with 1/5, which is 1/35.

The value of the expression 1/7 divided by 5 is,

⇒ 1 / 35

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

The expression is,

⇒ 1/7 divided by 5

Now, We can simplify as;

⇒ 1/7 divided by 5

⇒ 1 / 7 ÷ 5

⇒ 1 / 7×5

⇒ 1 / 35

Thus, The value of the expression 1/7 divided by 5 is,

⇒ 1 / 35

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Answer:

6^2

Step-by-step explanation:

A square has equal sides. The area of a rectangle or square is LxW. Since the length and width are the same it is squared or put to the power (exponent) of 2.

Answer:

c. cosine of the angle

Step-by-step explanation:

Cos = adj/hyp

in unit circle

cos = x/1

cos = x

x is the horizontal leg

Answer:

C. Cosine of the angle

Step-by-step explanation:

I calculated it logically

Answer:

The first three terms are: 25, 125 and 625

Step-by-step explanation:

Given

[tex]a =25; r = 5[/tex]

Required

The first three terms

The nth term of a geometry progression is:

[tex]T_n =ar^{n-1[/tex]

So, we have:

First term: [tex]n = 1[/tex]

[tex]T_n =ar^{n-1[/tex]

[tex]T_1 =25 * 5^{1-1[/tex]

[tex]T_1 =25 * 5^0[/tex]

[tex]T_1 =25 * 1[/tex]

[tex]T_1 =25[/tex]

Second term: [tex]n = 2[/tex]

[tex]T_n =ar^{n-1[/tex]

[tex]T_2 =25 * 5^{2-1[/tex]

[tex]T_2 =25 * 5^{1[/tex]

[tex]T_2 =25 * 5[/tex]

[tex]T_2 =125[/tex]

Third term: [tex]n = 3[/tex]

[tex]T_n =ar^{n-1[/tex]

[tex]T_3 =25 * 5^{3-1[/tex]

[tex]T_3 =25 * 5^{2[/tex]

[tex]T_3 =25 * 25[/tex]

[tex]T_3 =625[/tex]

Answer: 25,125,625

Step-by-step explanation:

edg 2

Answer:

1. Obtuse angle

2. 5

3. 117

Step-by-step explanation:

1. Any angle that is wider than 90 degrees is obtuse.

2. 180 = straight angle so, 180-140=40 8x5=40 so x=5

3. Supplementary angles are one angle that is 180 so, 180-63= 117

Answer: Graph D

Step-by-step explanation: Got it right on plato

The graph of a function with the same amplitude as m(x) is graph D.

The general cosine function is written as:

f(x) = A*cos(kx) + M

Where A is the amplitude, k is the angular frequency, and M is the midline.

In our case:

m(x) = -2*cos(x+π).

The amplitude is -2, which means that the distance between a peak and a trough must be twice the absolute value of the amplitude:

2*|-2| = 4

With this in mind, the only graph that meets this requirement is the graph D.

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Using the equation of ellipse, the height of the logo is 7.6cm

The equation of ellipse having a center (h, k) is given as;

[tex]\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1[/tex]

where a is the semi-major axis and b is the semi-minor axis. The major axis is the longer of the two axes, and the minor axis is the shorter of the two axes. The center of the ellipse is the point (h, k).

The graph of an ellipse is a closed curve that is similar to a circle, but it is not a circle. The ellipse is wider than it is tall if a > b, and it is taller than it is wide if a < b.

In the given problem;

The equation for an ellipse is

[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1,[/tex] where a is the semi-major axis and b is the semi-minor axis. In this case, a = √64 = 8 and b = √14.44 = 3.8

Since b = 3.8, the height of the logo = 2b = 2 * 3.8 = 7.6cm

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Answer:

the formula for finding cone volume is V=πr²× 1/3

Step-by-step explanation:

230=3.14×x²×1/3

we have to solve for X that is our radius

14.8

Answer:

c- use 1.0 as an estimate

Step-by-step explanation:

Answer:

[tex]x = 55°[/tex]

Step-by-step explanation:

L1 and L2 are parallel, so that the 2 interior angles are equal to 180°.

[tex](2x + 10) + (x + 5) = 180° \\ 2x + x + 10 + 5 = 180° \\ 3x = 165° \\ x = 55°[/tex]

Answer:

6-4c

Step-by-step explanation:

2(3-2c)

2×3+2×-2c

6+2×-2c

6-4c

Answer:

-6

Step-by-step explanation:

Answer:

The first option.

Step-by-step explanation:

You take the major vertical length and put it into this equation:

2a = 16

a/2 = 16/2

a = 8

You do the same with the minor length.

2b = 10

b/2 = 10/2

b = 5

You then switch the a^2 and the b^2 due to the fact that the veritcal length is longer than the horizontal. Then you use the formula to plug in 8 and 5.

(x - h)^2 / b^2 + (y - k)^2 / a^2 = 1

(x - h)^2 / 5^2 + (y - k)^2 / 8^2 = 1

Answer:

183136 is the correct answer

9514 1404 393

Answer:

  C. 6 > 3

Step-by-step explanation:

It is true that 6 is greater than 3.

__

All negative numbers are less than any positive numbers.

We hope you are sufficiently familiar with numbers and counting to be able to tell which positive numbers are more or less than any other positive number.

Answer:

27/36

Step-by-step explanation:

25 + 2 = 27

total = 36

Answer:

i. A = $25 t + $150

ii. B = $35 t + $100

iii. Number of hours = 5

Step-by-step explanation:

For company A:

A = $25 t + $150

where A is the amount charged and t is the number of hours of landscaping.

For company B:

B = $35 t + $100

where B is the amount charged and t is the number of hours of landscaping.

When the time  is 5 hours, then:

i. A = $25 t + $150

     = $25 (5) + $150

     = $125 + $150

A = $275

ii. B = $35 t + $100

      = $35(5) + $100

      = $175 + $100

B = $275

Therefore, the number of hours that would make the cost of each company to be the same is 5 hours.

Answer:

x = 50

Step-by-step explanation:

Answer:

x = 50

Step-by-step explanation:

180 - 75 = 105

2x + 5 = 105

now I subtracted both sides by 5

2x = 100

divide both sides by 2:

x = 100/2

x = 50

Have a nice day!

Answer:

The system of equations has one solution. The two equations are intersecting lines.

Step-by-step explanation:

if you want to use the substitution method, you would have to plug in y for 12x+2 in the second equation.

2(12x+2)=x+4

next, you have to distribute

24x+4=x+4

subtract 24x from each side

4=-23x+4

subtract 4 from each side

0=23x

divide each side by 23

x=0

now, plug in 0 to one equation.

y=12(0)+2

y=2

the lines intersect at one point, (0,2)

Answer:did you get the answer yet cause I really need it

Step-by-step explanation: please y’all help this person answer the question

Answer:

2222333344445555666677778888

Step-by-step explanation:

I don't see the thing

Answer:

y  =  2 -  ( x - 1)²/9

Step-by-step explanation: See Annex

As the parameter t increases,  the value of x increases and the value of y decreases, we get the figure of the annex ( the arrow in the Annex indicates the way of the curve with t increasing.

b) to eliminate the parameter:

x  =  1  + 3*t    (1)          y  =  2  -  t²  (2)

Then  from equation (1)  t  = ( x  - 1 ) / 3

plugging that value in equation (2)

y  =  2  -  [ (  x  -  1 ) / 3 ]²

y  =  2  - ( x² + 1 - 2*x)/9

9*y  =  18  - x² + 1 - 2*x    or    y  =  2 -  ( x - 1)²/9

The curve is a parabol