Jamal has a $31 online gift card. He plans to purchase books with the money and the cost of each book is $4. Thereis also a single shipping charge of $2. Write an inequality to show how to find the maximum number of booksJamal can afford.A $2b + $4 < $31B $2b + $4 > $31C $4b + $2 > $31D $4b + $2 < $31

The answers both as whole numbers and fractions are given below:

In mathematics, the limit of a function is the value that the function approaches as its input (independent variable) gets arbitrarily close to a certain value, often denoted as a.

More precisely, given a function f(x), the limit of f(x) as x approaches a, written as "lim x → a f(x)", is the value that f(x) approaches as x gets arbitrarily close to a, but not necessarily equal to a.

If the limit exists and is equal to L, then we can write it as:

lim x → a f(x) = L

To solve this,

using the graph of y = f(x)

\(\lim_{x \to 4^+\} \frac{f(x) - 4}{f(x+3)}\) = 3-4/6 = -1/6

\(\lim_{x \to 1^-\}{f(fx) +4) = f(4 +4) = f(8)\) = 5

\(\lim_{h \to 0\} \frac{f(2+h) - f(2)}{h}\) = f^1(2) = 1

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Answer:

9

Step-by-step explanation:

5≤n≤12

List all the even integers

6,8,10,12

Then find the mean

(6+8+10+12) /4

36/4

9

The mean is 9

Answer:

2.5198421

Step-by-step explanation:

The angle 7 is the alternative interior angle to angle 2.

Given that,In the diagram a || bWe need to find the alternate interior angle to <2 .Alternate interior angles are the angles that are formed when a transversal crosses two parallel lines.

They are the angles that are on opposite sides of the transversal and inside the two parallel lines.

Thus, in the given diagram, the angle that is opposite to angle <2 and is inside the two parallel lines a and b is the alternate interior angle to angle <2.

We can see that the alternate interior angle to angle <2 is <7. Therefore, the alternate interior angle to angle <2 is <7.

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we have that

m<2=45 degrees ------> by corresponding angles

Answer: See attached.

Step-by-step explanation:

        This slope-intercept form equation shows us that there is a y-intercept of -7. This means that (0, -7) will be a point on the line. Next, we have a slope of positive 3. This means we will count up three units, right one unit, plot a point. Then we repeat.

Answer:

start at the y-intercept, plot some points using the slope, then connect them using a straight line.

Step-by-step explanation:

Generally you'll have an equation in slope-intercept form, which is denoted as: \(y=mx+b\)

This is a really useful form for a couple of reasons, and it has two key features. Firstly, the "m" represents the slope of the linear equation.

This makes sense the definition of slope is: \(\frac{\text{change in y}}{\text{change in x}}\)

and we can generally define the points:

\(\text{at x = 1, y = }m(1)+b\implies m+b\\\text{at x = 2, y = } m(2)+b\implies m + m + b\\\text{at x = 3, y = }m(3) + b\implies m + m + m +b\\\text{and so on...}\)

as the x value increases by 1, the change in y is the "m" value, we have one more "m" than the previous x-value, so the slope is the "m" value, which is the coefficient of the x variable.

The second key feature of slope-intercept form is the y-intercept, which is represented as "b" in this form. This also makes sense because the y-intercept is simply when the x-value is zero, and if you plug in x=0 into the equation, you're only left with the "b" value

Knowing these two things we can analyze the equation given:

\(y = 3x-7\)

since it's given in slope-intercept form, we know that slope = 3, and y-intercept = -7. We immediately know one point, which is the y-intercept, since the x-value is going to be zero at the y-intercept, so one point on the graph is: (0, -7)

now from this point we can draw the graph by going to the right one, and up three, by definition of a slope (as x increases by 1, the y-value increases by 3).

We can do something similar on the left side, except instead of right one and up three, we go left one, and down three. You may be asking why down three? Well as you go right one, you go up three, this means if you compare the previous point to the new point, the previous point is down three compared to the new point (which is to the right one), so if you were to go back, you would be going left one and down three.

Now from these points you can do the same thing to extend the line a bit, and since it's a linear equation you can connect them using a straight line.

I also attached a graph from desmos to illustrate what I was saying a bit and also show the graph.

Answer:

90 in^2

Step-by-step explanation:

Answer: 4



Step-by-step explanation:

                 Statement                               Reason                  

⇒ ∠2 = ∠5 = ∠6 = 3x + 7

Looking at the picture, we can see that ∠6 and 4x + 5 are a linear pair.

Finding the value of x:

⇒ ∠6 + 4x + 5 = 180

⇒ 3x + 7 + 4x + 5 = 180

⇒ 7x + 12 = 180

⇒ 7x = 180 - 12

⇒ 7x = 168

⇒ 7x/7 = 168/7

⇒ x = 168/7 = 24

Now, substitute the value of x into the expression "3x + 7" to find ∠6.

Finding the measure of ∠6:

⇒ ∠6 = 3x + 7

⇒ ∠6 = 3(24) + 7

⇒ ∠6 = 72 + 7

⇒ ∠6 = 79°

Answer:

false

Step-by-step explanation:

A negative number divided by a negative number results in a positive number.

Answer:

the numbers are 4 and 7

Step-by-step explanation:

"twice a number added to another number is 15" --- 4(2) + 7 = 15

"the sum of the two numbers is 11" --- 4 + 7 = 11

Answer:

True

Step-by-step explanation:

A Kilogram (kilo) is a unit of measuring metric mass. To perform this conversion you need to note that

1 Kilogram (kg) = 1000 grams

Which means that converting Kilogram to Grams would involve multiplying kilogram by 1000.

For example,  100 kg to grams = 100 * 1000 = 100,000 Grams

Answer:

The ratio is 34/22, or in simplest form, 17/11.

Step-by-step explanation:

We write the ratio with the number of rolls greater than three on top and the number of rolls less than or equal to 3 on bottom:

34/(56-34)

We have to subtract 34 from 56 to find out how many rolls were less than or equal to 3.

34/22

Both are divisible by 2, so we have 17/11.

Answer:

RQS=100 & TQS=80

Step-by-step explanation:

add them and set it equal to 180 because it is a straight line

9x+1 + 7x+3 = 180

16x+4=180 (subtract 4 from both sides)

16x=176 (divide 16 from both sides)

x=11 (plug 11 into the angles)

9(11)+1=RQS & 7(11)+3=TQS

only have to solve one of them and subtract it from 180 to get the second angle since they are supplementary

Answer:

RQS=100 & TQS=80

Step-by-step explanation:

add them and set it equal to 180 because it is a straight line

9x+1 + 7x+3 = 180

16x+4=180

16x=176  

x=11  

9(11)+1=RQS & 7(11)+3=TQS

you only have to solve one of them and subtract it from 180 to get the second angle since they are supplementary .

hope this helped!

p.s it would be cool if you gave me brainliest.

Answer:

b^2+2*a*b+a^2

Step-by-step explanation:

Length of arc=r\(\theta\)

So

#1

\(\\ \rm\Rrightarrow Area=18(\pi/3)=6\pi cm\)

#2

\(\\ \rm\Rrightarrow Area=9(7\pi/4)=63\pi /4ft\)

The value of a in the relative frequency table for the survey results a = 27%

From the given Venn diagram, the total number of players =  11 + 3 + 7 + 5 = 26

The number of players preferred magazines books which are not coupon books = 7

The relative frequency for the players who preferred magazines books which are not coupon books (a)=

magazine books but not coupon books/ total player = 7 / 26 = 0.269

In percent,

7/26 x 100 = 26.9 = 27%

Hence, a = 27%

Therefore, the value of a in the relative frequency table for the survey results a = 27%

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From the information provided we can see that the slopes of the lines follow:

Thus, the lines are perpendicular.

Answer:

Step-by-step explanation:

(y^2)/1600-(x^2)/81=1. y21600−x281=1 y 2 1600 - x 2

Answer: y21600x281=1 y 2 1600 - x 2

Step-by-step explanation: for sure chfjjgffjfj ;)

Answer:

$4.11

Step-by-step explanation:

Im not sure

Answer:

$4.11

Step-by-step explanation:

its right

Answer:

7  1/2 pints of water

Step-by-step explanation:

No. of pints of water drank by Ian during hike = 3

Given that  he drinks 1 1/2 more cups of water when he gets home

No. of pints of water drank by Ian during return to home = No. of pints of water drank by Ian during hike  + 1 1/2 = 3 + 1 1/2

No. of pints of water drank by Ian during return to home = 3 + (2*1 + 1)/2

                                                                                               = 3 + 3/2

Taking 2 as lCM for addition

                                                                                               = (3*2 + 3)/2

                                                                                               =9/2  = 4  1/2

Total water drank by Ian altogether = 3 + 4 1/2 = 7 1/2

Therefore, Ian drank  7  1/2 pints of water during Hike and return altogether.

Answer:

I THINK rachel will be 12

Step-by-step explanation:

Part (a)

The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.

\(C(x)=500+1.25x\)

Part (b)

The revenue is the number of slushies sold multiplied by the amount charged per slushie.

\(R(x)=3.50x\)

Answer:

1. 17.584 feet

2. 81.64 mm

3. 9

4. 12

Step-by-step explanation:

The formula for the circumference of a circle is 2 times pi (or 3.14 in your case) times the radius of the circle.

1. Using the above formula, we can plug in the radius:

2*3.14*2.8 = 17.584

2. This is similar to the above question, so we plug in the radius into the formula:

2*3.14*13 = 81.64

3. We know the circumference of the circle so we can plug it in the formula:

56.5 = 2*3.14*r

56.5 = 6.28*r

r = 8.996  (roughly 9)

4. This is similar to question 3 so we do the same thing:

75.4 = 2*3.14*r

75.4 = 6.28*r

r = 12

Answer:

I understand why you are asking about this Ammaria, these type of questions take a lot of understanding of graphing.  Please feel ok asking me questions :)

Step-by-step explanation:

we are given two points

P1 = (3,3)  in the form (x1,y1)

P2 = (7,11) in the form (x2,y2)

slope = m

m = (y2-y1) / (x2-x1)

m = (11-3) / (7-3)

m = 8 / 4

m = 2

now use the slope along with one of the given points, either one will work, i'll use P1 , and put that into the point-slope formula.

y-3 = 2(x-3)

y -3 = 2x -6

y = 2x -3

So with the above formula we can check to see if the points work by plugging them into the formula.  

P3 = (5,8)

8 = 2(5) - 3

no point 3 does not work so it's not on the line

P4 = (13, 24)

24 = 2(13) - 3

no point 4 does not work either.

Answer:

10 + .25t

Step-by-step explanation:

The total amount spent is equal to the amount to get in plus the cost of the tickets times the number of tickets

cost = 10 + .25t

Answer:

The motorist's rate is:

rate = distance / time

where distance is measured in kilometers and time is measured in hours.

We are given that the motorist travels 228 kilometers in 6 hours, so we can use this information to find the rate:

rate = distance / time = 228 km / 6 hours = 38 km/hour

To find how long it will take the motorist to travel an additional 247 kilometers at this rate, we can use the same formula and solve for time:

time = distance / rate = 247 km / 38 km/hour ≈ 6.5 hours

Therefore, it will take the motorist approximately 6.5 hours to travel an additional 247 kilometers at the same rate of 38 km/hour.