The inequality x + 2y ≥ 3 is satisfied by which of the following points? (Select all that apply.)

(1, 1)
(-3, 4)
(-2, 2)
(5, -2)

For this case we have the following expression:

[tex]7x^{10} + 6x ^ 5 + 5[/tex]

We must rewrite it quadratically:

By definition, a quadratic equation is of the form:

[tex]ax ^ 2 + bx + c = 0[/tex]

Now, suppose [tex]u = x ^ 5[/tex]

Rewriting the given expression with the change of variable we have:

[tex]7u ^ 2 + 6u + 5[/tex]

So, we have a quadratic expression.

Returning the change we have:

[tex]7 (x ^ 5) ^ 2 + 6 (x ^ 5) +5[/tex]

ANswer:

Option B

Answer:

The reasonable range is limited to the whole numbers when 0 ≤ y ≤ 144,000.

Step-by-step explanation:

Notice that even though the range of the function is mathematically defined for all real numbers, in the real world you can't have more than 144,000 granola bars; that occurs when you have no boxes, or in other words, when x = 0

On the other hand, in the real word you can't have a negative quantity of a thing (you can't have minus 2 popsicles, for example). Given that granola bars are things, you must have at least 0 granola bars; in other words the quantity of granola bars must be greater or equal zero.

We know that in the real word you cant have more than 144,000 granola bars, and you must have at least 0 granola bars; therefore, the reasonable range of the function f(x) = –12x + 144,000 is 0 ≤ y ≤ 144,000.

Since we are talking of full granola bars here, the range is limited to whole numbers (whole granola bars).

We can conclude that the correct answer is: The reasonable range is limited to the whole numbers when 0 ≤ y ≤ 144,000.

Final answer:

The accurate statement is: The reasonable range is limited to the whole numbers when 0 ≤ y ≤ 144,000.

Explanation:

The question asks to identify the limitation of the reasonable range compared to the mathematical range for a function modelling the stock of granola bars, f(x) = – 12x + 144,000, based on the number of boxes, x, packaged by a machine.

The mathematical range could theoretically be any real number, but practically, since we are counting discrete items (granola bars), the reasonable range should be limited to whole numbers reflecting the actual possible quantities of granola bars in stock.

Additionally, since the stock cannot be negative and is started with 144,000 granola bars, the stock can range only down to 0 but not below, thus making the reasonable range from 0 to 144,000.

Therefore, the accurate statement is: The reasonable range is limited to the whole numbers when 0 ≤ y ≤ 144,000.

Answer:

C

Step-by-step explanation:

It would have to be C because that is the only one longer than the height of the Empire State Building and you can see it has to be larger by the 8:6 ratio between Pablo's shadow and Pablo's height

what you do I set 45x equal to your two other angles since the sum of those two angles is equal to that angle outside the triangle.

so you have

45x=57+x+25x

combine like terms

45x=57+26x

then subtract 26x on both sides to get

19x=57

lastly divide by 19

x=3

Answer:

3 degrees

Step-by-step explanation:

Answer:

2 feet

Step-by-step explanation:

The model is  the actual size. This means that for every 6 feet measured on the actual car, the model will span 1 foot.

Note that the model length is in the numerator and the actual length is in the denominator.

Thus, if the car is 12 feet long and L represents the length of the model, then write the ratio as .

Set the two ratios equal to each other to obtain the proportion below.

The length of the model is given below.

Therefore, the length of the model is  feet.

The question is about scale conversion in mathematics. Given that Paul's full-sized car is 12 feet long and his model is 1/7th the size of the actual car, the length of the model car would be about 1.71 feet.

The question involves a scale conversion in mathematics. If Paul's car is 12 feet long in real life, and his model is going to be 1/7th the size of the actual car, we need to determine the length of the model using this scaling factor.

To find out the length of the model, you multiply the actual length of the car by the scale factor, which in this case is 1/7. So, the calculation would be as follows:

12 feet (length of the car) * 1/7 (scale factor) = 1.71 feet (approx)

Therefore, the length of Paul's model car would be approximately 1.71 feet.

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There are 120 ways we can list 5 basketball players in order in a program.

Permutations are the selection in order from a given set of values. Here, the order is of importance.

There are five basketball players.

We are asked to find the number of ways in which they can be listed in order.

We can use permutations to find the answer.

We can find the number of ways in which the basketball players can be listed in order as follows:

Total number of ways = 5*4*3*2*1

= 20*3*2*1

= 60*2*1

= 120 ways.

The number of ways in which the basketball players can be listed in order is found. The basketball ball can be listed in 120 ways.

Therefore, we have found that there are 120 ways we can list 5 basketball players in order in a program.

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Answer:

- 12, - 7, - 2, 3, 8

Step-by-step explanation:

The general terms of an arithmetic sequence are

a, a + d, a + 2d + ....... + a + (n - 1 )d

To obtain consecutive terms in the sequence add d = 5 to the previous term

[tex]a_{1}[/tex] = - 12

[tex]a_{2}[/tex] = - 12 + 5 = - 7

[tex]a_{3}[/tex] = - 7 + 5 = - 2

[tex]a_{4}[/tex] = - 2 + 5 = 3

[tex]a_{5}[/tex] = 3 + 5 = 8

Answer:185  workers left

Step-by-step explanation:

Answer:

the answer is 185 workers left

Step-by-step explanation:

there are 200 workers but 15 were chosen so you have to subtract 200-15 whis is 185

Answer:

the graph of the parabola opens upwards.

Step-by-step explanation:

For any quadratic equation of the form

[tex]ax ^ 2 + bx + c[/tex] is true that:

if the main coefficient "a" is negative then the graph of the parabola opens downwards.

If the main coefficient "a" is positive, the parabola opens upwards

In this case the parabola is [tex]y=x^2-6x[/tex]

Note that [tex]a=1[/tex] and [tex]a>0[/tex] therefore the graph of the parabola opens upwards.

Answer:

25 dollars

Step-by-step explanation:

To calculate the cost of a 75 credits card, we first find the cost per credit and the initial cost of the card, which are $0.18 and $8 respectively. The total cost is then $21.5.

We know Jude bought a card with 50 credits for $17 and Audrey got one with 80 credits for $26. We can say that the cost per credit is constant. To find this cost per credit, we first need to calculate the difference between the costs and then divide the result by the difference in number of credits: So, cost per credit = (26-17) / (80-50) = 0.18. This implies for each credit the cost is 18 cents. For a 75 credit card, the price would be 75 * 0.18 = $13.5. However, this doesn't account for the initial cost to purchase the game card. If we say the initial cost is a flat fee included in the price Jude and Audrey paid, we need to subtract the total cost of the credits from their total spend to work this out: Jude’s initial cost = $17 - (50 * $0.18) = $8. Audrey’s initial cost = $26 - (80 * $0.18) = $8. As we supposed, initial cost is a constant of $8. Hence, the cost of a 75 credits card would include this initial cost: 75 credits would cost = $8 + 75 * $0.18 = $21.5.

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I first plotted the three points and from from their position it was clear which pairs to join to start a rectangle.

At this point you need to check to make sure the angle at B is a right angle. Find the slope of the line segments AB and BC and check that the product of the slopes is -1.

From the diagram you can now see where the fourth point D has to be. If AB and CD are parallel then D must be 3 units to the left of C and 2 units above C. Find the coordinates of D and then check by finding the slopes of CD and DA and showing that the angle at D is a right angle.

I hope this helps

Answer:(3,-3)

Step-by-step explanation:

Answer:

Neither A or B

Answer: Option A

Step-by-step explanation:

Given two variables X and Z, it is said that there is a correlation between X and Z if both variables change together.

That is, if when the variable X increases the variabl Z increases also then there is a positive correlation

if when the variable X increases the variable Z decreases then there is a negative correlation.

Now observe the graphs that are shown in the image. Note that in both cases the points are scattered and there is no clear relationship between the variables. Therefore the correlation is zero in both cases

Examples of strong positive and negative correlations are shown in the attached image

Outcome Bag of Gold Magic Wand

Relative frequency 0.32 0.68

The relative frequency of getting a bag of gold is .......... reasonably close

.32 is close to 30% so

Alison's claim about the theoretical probability is likely to be 2............true

Further, this means that the theoretical probability of getting a magic wand is most likely 3............1 - 30% = 70%

Answer:

4x + 16

Step-by-step explanation:

Area of a triangle is:

A = ½ bh

Here, b = x+4 and h = 8:

A = ½ (x + 4) (8)

A = 4x + 16

The area of the given triangle with sides 5x,8, and x+4 is 4x + 16.

We have given the diagram.

In the diagram we have,

base(b) = x+4 and height(h) = 8

We have to determine the area of the triangle

[tex]A = 1/2\times b\times h[/tex]

Where b is the base and h is the height of the triangle

Use the given values in the above formula we have,

[tex]A = 1/2(x + 4) (8)\\\\A = 4x + 16[/tex]

Therefore the area of the triangle is 4x + 16.

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I agree with ZOMBIE0O That the question is somewhat confusing. I see two options as being possible, depending on the nature of the question. The first option, 49, is a possibility. This would be the answer if the second two numbers were insignificant to the number of books (for example, if it were describing the dimensions of the books as 5•40). The second option is also a possibility, if the question is wanting you to add (49•5)+(5•40).

Answer: The first one is incorect. It may be the second one

Step-by-step explanation:

sure dm me and i will tell you all about it i actually still do that and it seems very easy to me

Answer:

Final answer is n = 3.

Step-by-step explanation:

Given equation is [tex]\frac{2}{n}=\frac{2}{3}[/tex]. Now we solve that equation for n then select best matching choice from the given choices.

[tex]\frac{2}{n}=\frac{2}{3}[/tex]

cross multiply

[tex]2 \times n = 2 \times 3[/tex]

[tex]2 \times n = 6[/tex]

[tex] \frac{2 \times n}{2} = \frac{6}{2}[/tex]

[tex] n = 3[/tex]

Hence final answer is n = 3.

Hence correct choice is C.

The Answer is B

Hope this helps :)

Answer:

164 sq. meters

Step-by-step explanation:

So to make it easier, you can break the shape up in a smaller shape. So now it'll look like 2 big rectangles on each side with a small rectangle in the middle. Now you can find the area.

For the big rectangle on the left:

5 × 15 = 75

For the big rectangle on the right:

5 × 15 = 75

For the small rectangle in the middle:

It doesn't say what the length is but if you subtract 8 from 15, that's what the length will be.

15 - 8 = 7

L = 7

7 × 2 = 14

Now add all the areas up.

75 + 75 + 14 = 164

Answer:

The correct answer is 13.75

Step-by-step explanation:

4+2= 6

6+1=7

6+7= 13

13+1/2= 13.5

13.5+1/4= 13.75

Answer:

[tex]s_10=\frac{1023}{128}[/tex]

Step-by-step explanation:

4+2+1+1/2+1/4.....

WE need to find out the sum s10

first term is 4 and second term is 2

2/4 = 1/2

1/2= 1/2

1/2 / 1= 1/2

so common ratio is 1/2

The given series is geometric series

we use the sum formula for the geometric series

[tex]s_n= a\frac{(1-r^n)}{1-r}[/tex]

Where 'r' is the common ratio and 'a' is the first term

a= 4  and r= 1/2

Plug in the values in the sum formula'

[tex]s_n= 4\frac{(1-(\frac{1}{2})^n)}{1-(\frac{1}{2})}[/tex]

Given n=10

[tex]s_10= 4\frac{(1-(\frac{1}{2})^{10})}{1-(\frac{1}{2})}=\frac{1023}{128}[/tex]

Hello There!

Area = ½( 8 * 6) = 24

Answer:

Step-by-step explanation:

Answer: A=24

To figure this out multiply 8 and 6 to get 48.

A triangle is half of a square.

Divide 48 by 2 to get 24.

:)

So 25% of $199 is $49.75. If you subtract the promotion off you get 199-49.75=149.25. Then the sales tax is 6% so you take the new cost $149.25 and multiply it by .06 which equals 8.955. so then you add on the tax so $149.25+8.955=$158.205. Your answer is $158.205 or approximately $158.21

Answer:

$94.61

Step-by-step explanation:

Tax is on reduced and not original price

Let's assume x is the blank.

The equation is therefore:

[tex]

7\times(5-2)=(7\times5)-(x\times2) \\

7\times3=35-2x \\

21=35-2x \\

21-35=-2x \\

-14=-2x\Longrightarrow x=\frac{-14}{-2}=\boxed{7}

[/tex]

Answer:

Step-by-step explanation:

7x(3) = 21

(7x5) - (7x2) = 21

35-14=21

Answer is (7 x 2)or 7

Suppose there is a function [tex]f(n)=3n^2, n\in\mathbb{N}[/tex].

We start counting by 1 from the first element in domain of natural numbers so: 1, 2, 3, 4.

We assemble the definition set [tex]A=\{1,2,3,4\}[/tex] than use the function f(n) to create transformation set:

[tex]f(A)=3\{1,2,3,4\}^2\Longrightarrow\{3,6,9,12\}^2 \\

\boxed{B=\{9,36,81,144\}}

[/tex]

So the first four terms are defined in transformation set B.

Hope this helps.

r3t40

Answer:

(B) is the homogeneous mixture

Final answer:

The problem involves finding the base 'b' and height 'h' of a parallelogram with an area of 216 cm², where the height is 2/3 of the base. By substituting h = (2/3)b into the area formula, base x height, and solving, we find that the base is 18 cm and the height is 12 cm.

Explanation:

To find the base and height of the parallelogram given that the area is 216 cm² and the height is 2/3 of its base, we use the formula for the area of a parallelogram:

Base x Height = Area of parallelogram

Let the base be 'b' and the height be 'h'. According to the problem, h = (2/3)b, so we can substitute 'h' in the area

formula:

b x (2/3)b = 216 cm²

Which simplifies to:

(2/3)b² = 216 cm²

Now, solve for 'b' to find the base, and use that to find 'h' (the height):

b² = (216 cm²) x (3/2)

b² = 324 cm²

b = √(324 cm²)

b = 18 cm

Therefore, the base is 18 cm. Now we find the height:

h = (2/3) x 18 cm

h = 12 cm

The base of the parallelogram is 18 cm and the height is 12 cm.

Check the picture below.

The answer above is corrected

Answer:

c. 32

Step-by-step explanation:

The problem states that we need to assume that segments that appear tangent are actually tangent. From the figure, the tangent segment is the one that measures [tex]x[/tex] while the radius measures 24. The key in this problem is that if a radius of a circle and a tangent line to that circle touch intersect at the same point, then they form a right angle there. Accordingly, we have a right triangle here, so using the Pythagorean theorem, we can find [tex]x[/tex]. Thus:

[tex]x=\sqrt{40^2-24^2} \\ \\ x=\sqrt{1600-576} \\ \\ \boxed{x=32}[/tex]

Answer:

D. Pi

Step-by-step explanation:

Circumference=diameter*pi

Or

Circumference=2*pi*radius

Answer:

C, C

Step-by-step explanation:

1. The opposite sides are equal length and parallel, so this is a parallelogram.

Answer C.

2. The length of the midsegment of a trapezoid is the average of the lengths of its top and bottom.

9.2 = 1/2 (12.6 + x)

18.4 = 12.6 + x

x = 5.8

Answer C.

The first one is a parallelogram because it has 2 sets of congruent sides

The second one is (C) AB=5.8 cm

D

The larger the number the warmer it is

Answer:

D

Step-by-step explanation: