Suppose $P(x)$ is a polynomial of smallest possible degree such that: $\bullet$ $P(x)$ has rational coefficients $\bullet$ $P(-3)

Answer:

The answer is D) 5, the number of eggs on the charts never exceeds that number.

Answer:

39°

Step-by-step explanation:

At the section the angles are connected, meaning that the angle across from w is the same as w and same applied to x. To find y, you first need to find w, to find the 2nd angle of the triangle of the right.

To do this, you need to add up 42 + 85.

(All triangles angles = 180)

42+85=127

subtract this from 180 to find angle w

180 - 127 = 53

53 = Angle w, which is the same as the angle across from angle w (second angle).

Second, take 53 + 88 = 141

Subtract this from 180

180-141 = 39.

39 is y°

or

y° = 39

Answer:

Step-by-step explanation:

Work for finding the equation, feel free to skip it:

So first off, to write the equation, we will use an equation in slope intercept form: y = mx + b, where y is the numbers of pages she has read, m is the number of pages she reads per hour, x is the number of hours she read, and b is the number of pages she has already read.

To find the slope(The number of pages she reads per hour), we can subtract the number of pages she had read at 2 hours from the number of pages she had read at 4 hours:

297 - 195 = 102.

This tells us she read 102 pages over 2 hours. Thus, over 1 hour, she had read 102/2 = 51 hours. This is m. So our equation so far is y = 51x + b

To find b, we can take 195(the pages she had read after 2 hours), and subtract it by the pages she can read over 2 hours(51 * 2), giving us the amount of pages she had already read(b):

195 - (51*2) = 195 - 102 = 93.

So our equation is:
y = 51x + 93.

Work for finding how many hours it will take Kya to read the whole book:

Y is the total number of pages Kya has read when we plug in x hours. However, if we already know the total number of pages in a book, we can plug in that number for Y, and then solve for x to find how many hours it takes for Kya to read the book:

399 = 51x + 93

Subtracting 93 from both sides gets us:

51x = 306

=

x = 6

This means it takes 6 hours for Kya to read the whole book.

Since Kya has already been reading for 4 hours, the time she has left is:

6-4 = 2

So it takes Kya 2 more hours to finish reading the 399 pages in the book.

Hope this helps!

To find the coordinates of a point in a coordinate system, do the inverse. Start at the point and trace a vertical line up or down to the x-axis. There you have your x-coordinate. Then repeat the process, but this time follow a horizontal line to determine the y-coordinate.

A point is identified by its ordered pair of (x, y). The first number represents the x-coordinate, while the second represents the y-coordinate.

To graph a point, you draw a dot at the coordinates of the ordered pair. It's usually a good idea to begin at the beginning.

An ordered pair of integers, such as an x-coordinate, which is a number on the x-axis, and a y-coordinate, which is a number on the y-axis, can be used to identify each point. Parentheses are used to indicate ordered pairings (x-coordinate, y-coordinate). The starting point is at (0,0).

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Answer:

x= 35⁰ - obtuse triangle

Step-by-step explanation:

since the sum of angles of the triangle = 180⁰

(3x-5) + (x+10) + (x) =180⁰

5x+5= 180

(subtracting 5 from both sides)

5x=180-5

5x= 175

(dividing by 5)

x= 35⁰

so the angles of the triangle are

(3x-5) = 105-5= 100⁰

(x+10) = 45⁰

(x) = 35⁰

then this triangle is an obtuse triangle

Answer:

2, cause it shows a different function or pattern

The original cost of the DVD player is $ 211.75.

Calulating Original price:

To calculate the original price of an item in case of giving a discount we can use the following formula

Original Price = Selling Price / (1 - Percentage Discount/100)

(Or)

We can calculate the original price by taking a variable as the cost of the item as given below

Here we have

In a '15% off sale, Freya bought a DVD player for £179. 99

Let 'x' be the cost of the DVD player

Then the cost of the DVD player after giving a 15% discount

= x - 15% of x

= x - (15/100) x

= x - 0.15x

= 0.85x

Given that  

Freya bought a DVD player for £179. 99

=> 0.85x = 179. 99  

=> x = 211.75

Therefore,

The original cost of the DVD player is $ 211.75.

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the value of log2 base 2 is 1 because if base and logrithm value is same then it is always one

How do you find the value of log base 2?

Properties of Log Base 2

Multiply two numbers with base 2, then add the exponents. Divide two numbers with the base 2, subtract the exponents. Power Rule: Raise an exponential expression to power and multiply the exponents.

Use the change-of-base formula:

since we know that natural log and log with base 10 are different

So, if we want to write log3(6) as a logarithm of base 2, in these example a = 3, x = 6, b = 2:

Hence ,  the value of log2 base 2 is 1 because if base and logrithm value is same then it is always one

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Answer:

16-ounce carton

Step-by-step explanation:

you divide by the cost by the amount of ounces per cent and when buying the  4 ounce one is 21 cents per ounce while the 16 ounce one is 16 cents per ounce

Her painting rate in window frames per hour will be;

⇒ 1.6 frames per hour

Her painting rate in hours per window frame will be;

⇒ 0.25 hours per window frame

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.

Given that;

Joyce painted 8 window frames in 5 hours while earning money for college.

Here, Joyce painted 8 window frames in 5 hours while earning money for college.

Hence, Her painting rate in window frames per hour is,

⇒ 8/5

⇒ 1.6 frames per hour

And, Her painting rate in hours per window frame is,

⇒ 5/8

⇒ 0.25 hours per window frame

Thus, Her painting rate in window frames per hour = 1.6 frames per hour

Her painting rate in hours per window frame = 0.25 hours per window frame

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Answer:

1:B

2:B

3:C

Step-by-step explanation:

HOPE IT'LL HELP :)

Answer:

The minimum and maximum cannot be determined because this is not a quadratic function.

Step-by-step explanation:

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.

Answer:

1. $145

2. 45+25x=total $

Step-by-step explanation:

45+(25•4)=145

Step-by-step explanation:

Given:

10 GB included with plan

$45 per month

$25 per GB over the amount of 10

Need to find out:

How much would Kadeesha have to pay in a month where she used 4 GB over the limit, how much would it be if it went over xx GB?

Let's solve the first problem:

10 GB included + 4 GB (over) =14 total GB

$45=10GB. $25×4= 4 GB over.

$45+$100=$145

Therefore, Kadeesha would have to pay $145 if she went 4 GB over the 10.

Now, let's solve the next problem:

So, for this problem we are going to find the amount it wil be in other various amounts. To do this we will create a chart /table

$45 ------> 10GB

$70 -----> 11 GB

$95 ----> 12 GB

$120 ---> 13 GB

$145 ---> 14 GB

$170 ---> 15 GB

and so on....

but here we can see any given amount will be her usual Phone bill amount ($45), with the 10 GB and an additional $25 for every added GB.

if something is unclear, or seems wrong just let me know!

I hope this helps:)

Answer:

27.83 dollars

Step-by-step explanation:

Answer:

Step-by-step explanation:

In each case we find the discriminant b^2 - 4ac.

If the discriminant is negative, we have two unequal, complex roots.

If the discriminant is zero. we have two equal, real roots.

If the discriminant is positive, we  have two unequal real roots.

#51:  8v^2 - 12v + 9:  the discriminant is (-12)^2 - 4(8)(9) = -144.  we have two unequal, complex roots

#52:  (-11)^2 - 4(4)(-14) = 121 + 224 = 345.  we  have two unequal real roots.

#53:  (-5)^2 - 4(7)(6) = 25 - 168 (negative).  we have two unequal, complex roots.

#54:  (4)^2 - 16 = 0.  We have two equal, real roots.

The volume of the triangular prism is 120 cm cube.

A triangular prism  is a three-sided prism.  The volume of a triangular prism can be represented as follows:

volume of a triangular prism = 1 / 2 bhl

where

Therefore,

b = 10 cm

h = 12 cm

l = 6 cm

Therefore,

volume of a triangular prism = 1 / 2 × 10 × 12 × 6

volume of a triangular prism = 1 / 2 × 120 × 6

volume of a triangular prism = 60 × 6

volume of a triangular prism = 120 cm³

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Answer:

[tex] \frac{98}{280} \times \frac{100}{1} [/tex]

[tex]0.35 \times 100 \\ = 35\%[/tex]

Answer:

$324

Step-by-step explanation:

(1.08)(300) = 324

Answer:

The total price of the bicycle including sales tax is $324.

Explanation:

The price of a bicycle = $300

Rate of sales tax = 8%

Amount of tax = 8% x 300

                     = [tex]\frac{8}{100}[/tex] x 300

                     = 8 x 3

                      = 24

Cost of bicycle including tax= Price of cycle + Amount of tax = 300+24=324  

= $324

$b+$12 is the equation that will determine the amount of the original bill

percentage, a relative value indicating hundredth parts of any quantity.

Given that The friend told the waiter to remove the $12 dessert from Stan’s bill.

Stan tipped the waiter 20% on the reduced bill, which was a $15 tip

We need to write an equation that will determine the amount of the original bill b.

Let us find what 20% of amount will be 15

20/100×b=15

0.2x=15

b=15/0.2=75

The reduced bill is $75.

As before $12 is removed

$b+$12=$87

$87 is the original bill and 15 is the tip.

Hence, $87 is the original bill.

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Uma is correct, because getting an even number is an event.

The term probability refers to the likelihood of an event occurring.

Given that;

Bridget says that when a standard number cube is rolled getting an even number is an outcome.

And, Uma says that getting an even number is an event.

Now,

We know that;

When a standard number cube is rolled then getting an even number is an event.

Hence, Uma statement is correct.

Thus, Uma is correct, because getting an even number is an event.

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Answer:

The correct option is A.

Step-by-step explanation:

When we have two congruent figures, the correspondent sides of the figures are related by the same constant C.

In the case of the image.

h is the left side of the smaller triangle.

h + j is the left side of the larger triangle.

Then we have the relation:

(h + j) = C*h

If we isolate C, we get:

C = (h + j)/h

We can also write this for the other side (the bottom one)

k*C = (k + i)

C = (k + i)/k

Then we have:

(h + j)/h = (k + i)/k

We can rewrite this as:

h/h + j/h = k/k + i/k

1 + j/h = 1 + i/k

We can subtract 1 in each side to get:

j/h = i/k

This is almost the same we can see in option A (its inversed)

If we apply the inverse to both sides, we get:

(j/h)^-1 = (i/k)^-1

h/j = k/i

Which is the same equation that we can see in option A.

Then the correct option is A.

Answer:

yes

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

its on ixl

Answer:

91

Step-by-step explanation:

Answer:

so to find the mean, add all the numbers

(ie from 45 to 122) then divide the answer by the number of number you have ( ie count from 45 to 122 which is nine numbers in total)

so your presentation will look like

819/9

which is = 91

Answer:

x = 5 units

Step-by-step explanation:

area = 1/2bh

10 = 1/2(x)4)

2x = 10

x = 5

Answer:

The value of x (which is also the height of this triangle) is x = 5 units.

Step-by-step explanation:

The formula for the area of a triangle of base b and height h is

A = (1/2)(b)(h).

Here A = 10 units² = (1/2)(4 units)(x).

Multiplying both sides by 2 yields    20 units² = (4units)(x), and thus  20 units²