Six less than the product of four and a number X

If

[tex]\displaystyle g(x) = \int_0^x f(t) \, dt[/tex]

then g(x) gives the signed area under f(x) over a given interval starting at 0.

In particular,

[tex]\displaystyle g(0) = \int_0^0 f(t) \, dt = 0[/tex]

since the integral of any function over a single point is zero;

[tex]\displaystyle g(4) = \int_0^4 f(t) \, dt = 8[/tex]

since the area under f(x) over the interval [0, 4] is a right triangle with length and height 4, hence area 1/2 • 4 • 4 = 8;

[tex]\displaystyle g(8) = \int_0^8 f(t) \, dt = 0[/tex]

since the area over [4, 8] is the same as the area over [0, 4], but on the opposite side of the t-axis;

[tex]\displaystyle g(12) = \int_0^{12} f(t) \, dt = -8[/tex]

since the area over [8, 12] is the same as over [4, 8], but doesn't get canceled;

[tex]\displaystyle g(16) = \int_0^{16} f(t) \, dt = 0[/tex]

since the area over [12, 16] is the same as over [0, 4], and all together these four triangle areas cancel to zero;

[tex]\displaystyle g(20) = \int_0^{20} f(t) \, dt = 24[/tex]

since the area over [16, 20] is a trapezoid with "bases" 4 and 8, and "height" 4, hence area (4 + 8)/2 • 4 = 24;

[tex]\displaystyle g(24) = \int_0^{24} f(t) \, dt = 64[/tex]

since the area over [20, 24] is yet another trapezoid, but with bases 8 and 12, and height 4, hence area (8 + 12)/2 • 4 = 40, which we add to the previous area.

Answer:

650 students are spanish.

Step-by-step explanation:

just say 1,000 people = 100%

then 650 students would = 65%

Hope I helped

Answer:

39.3

Step-by-step explanation:

pa brainliest

Answer:

36.11 feet

Step-by-step explanation:

If the circumfrence goes across the circle, and the radius goed halfway, substitute the measuremants. C/2. So, divide 72.22 by 2 and you get 36.11 feet!

aight slide it here big boy

Answer:

The greater the cost, the better the merchandise

Step-by-step explanation:

It’s giving a positive correlation.

Answer:

y=(7/4)x + 12, y=(-4/7)x -46/7

Step-by-step explanation:

first for the perpendicular line: we know the slope is the opposite reciprocal of -4/7, so m= 7/4. now we have y= 7/4 x +b. b is the y-intercept. to find b plug in the point (-8,-2). -2=(7/4)(-8) + b = -14+b so b=12. so the slope of the perpendicular line is y=(7/4)x + 12

parallel:

since the line is parallel the slope is -4/7. so we have y=(-4/7)x + b. next plug in the point (-8, -2) to find b: -2 = (-4/7)(-8) + b = 32/7 + b. so b= -46/7

F(3) occurs when x =3. So lets plug 3 into our equation.

[tex]f(3) = -4(3)^2 + 4(3)-4\\f(3) = -4(9) + 12- 4\\f(3) = -36 + 12- 4\\f(3)= -28[/tex]

F(3) = -28

I hope this helps! :)

What are you asking?

Step-by-step explanation:

Distance = 154 miles .

Time = 5 ½ hrs .

We know ,

Speed = s / t

v = 154 mi/ 5.5 hrs = 28 mi / hr

Answer:

Emily receives $1,750 less after the shift

Step-by-step explanation:

Answer:

x = 24

Step-by-step explanation:

x ÷ 3 = 8

you multiply both sides by three

so it cancels out 3 and 8 × 3 = 24

so your answer is 24

hope this helps

Answer:  D.  [tex]g(x) = (x-b)^2[/tex]

Explanation:

If we want to shift the curve some distance b to the right, then we'll need to replace x with x-b. What this effectively does is shift the xy axis itself b units to the left while the curve is fixed in place. This gives the illusion of the curve moving b units to the right.

Put another way: the old input x is updated to the new input x-b which is smaller by b units. This helps explain why the xy axis is shifted to the left this amount.

So that's how we go from [tex]f(x) = x^2[/tex] to [tex]g(x) = (x-b)^2[/tex]. You can think of it as [tex]g(x) = f(x-b) = (x-b)^2[/tex]

Answer:

The speeds are 74 mph and 87 mph.  

Step-by-step explanation:

Let x = speed of slower train

     x + 13 = speed of faster train

The trains meet when the sum of the distances = 483

3x + 3(x+13) = 483

6x + 39 = 483

6x = 444

 x = 74 mph

The speeds are 74 mph and 87 mph.  

The numerical value of this algebraic expression is 123

To solve this algebraic expression, we're going to subtract the numbers indicated in parentheses, and finally, we're going to multiply and add the numbers.

[tex]\large \sf =6(22 - 12) + 63[/tex]

[tex]\large \sf =6(10) + 63[/tex]

[tex]\large \sf =60 + 63[/tex]

[tex]\boxed{\boxed{{\large \sf 123}}}[/tex]

Therefore, we can conclude that the numeric value of this expression will be 123

Answer:

xác định giá tiền trung bình một đơn thuốc. Người ta tiến hành một nghiên cứu thử và xác định được độ lệch chuẩn khi tính giá tiền trung

Step-by-step explanation:

The general admission tickets sold are 1467 and the number of  reserved seats tickets sold is 358.

Two equations would be derived from the question:

$2.50a + $5b = $3667.50 equation 1

a + b = 1109 equation 2

Where:

a - number of people for the general admission

b = number of people for the reserved seats

To determine the value of b, take the following steps:

Multiply equation 2 by 2.5

2.5a + 2.5b = 2772.50 equation 3

Subtract equation 3 from 2

2.5b = 895

Divide both sides by 2.5

b = 358

In order to determine the value of a, substitute for b in equation 2

358 + a = 1109

a = 1109 - 358 = 1467

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

Answer:

The answer is 7 she Can Buy 7 packages of cookies.

Step-by-step explanation:

1. 15-5.50=9.50

2.9.50-7.75=1.75

3. 1.75-0.25*7=0

She wouldn't have any money left over to buy it

Answer:

Step-by-step explanation:

the answer is 10

Answer:

with what 0-0 are youy okay?

Step-by-step explanation:

Answer:

X = -1

Step-by-step explanation:

y - 3 = 1/2 (x - 7)

x would equal -1.

Answer:

4200

Step-by-step explanation:

[tex]men = x \\ 360 - 130 = 260 \\ 260 = 2800 \\ 130 = x \\ 2800 \times 130 \div 260 = 1400 \\ total = 1400 + 2800 \\ = 4200[/tex]

9514 1404 393

Answer:

  10080

Step-by-step explanation:

The angle occupied by Women voters is ...

  360° -130° = 230°

Then the angle difference between the two sections is ...

  Women voters - Men voters = 230° -130° = 100°

The number of voters is proportional to the angle they occupy on the pie chart. That means ...

  (difference in voters) / (total voters) = (difference angle) / (total angle)

  2800 / (total voters) = 100° / 360°

Cross multiplying gives ...

  360° × 2800 = 100° × (total voters)

Dividing by 100° gives ...

  total voters = (360/100)×2800 = 10080

The total number of voters in the election is 10080.

Answer:

x-5.

Step-by-step explanation:

If you did it the other way that would be like saying 5 minus your grade. That would be in the negatives unless you got a 5 or below on your grade. :)

Answer:

x-5

Step-by-step explanation:

The other way makes no sense saying 5 minus your grade I hope this helps and it's 5 less than your grade so your grade minus 5 ewuals your answer

The next term of the sequence is 9

The terms of the sequence are given as:

64, 49, 36, 25, 16,...

When the above sequence is analyzed, we can see that:

Each term of the sequence is a perfect square

So, the sequence can be rewritten as:

8^2, 7^2, 6^2, 5^2, 4^2, ....

The next term would be 3^2.

The square of 3 is 9

i.e. 3^2 = 9

Hence, the next term of the sequence is 9

Read more about sequence at:

https://brainly.com/question/7882626

Answer: A

You could put this in a ratio of flour to sugar 9/8 : 3/4. If we need to find out how many cups of flour are required for each cup of sugar, then we’ll need to divide both sides by 3/4 to get to 1 cup of sugar so that we can find how many cups of flour are required for this amount. The flour is 9/8 cups which then gets divided by 3/4 and is 1/2 so this is our answer.

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{Guide \#1}\huge\boxed{\downarrow}\\\\\large\text{2 negatives = [\bf positive]}\\\large\text{2 positives = \bf [positive]}\\\large\text{1 positive \&1 negative = \bf [negative]}\\\large\text{1 negative \& 1 positive = \bf [negative]}[/tex]

[tex]\huge\textsf{Guide \#2 }\huge\boxed{\downarrow}\\\large\text{Negatives are BELOW 0.}\\\large\text{Positives are ABOVE 0.}[/tex]

[tex]\huge\textsf{Guide \#3 }\huge\boxed{\downarrow}\\\large\text{Positives are on the RIGHT side of the number line.}\\\large\text{Negatives are on the LEFT side of the number line.}[/tex]

[tex]\huge\textsf{Guide \#4 }\huge\boxed{\downarrow}\\\large\text{Positives are bigger than 0}\\\large\text{Negatives are smaller than 0.}[/tex]

[tex]\huge\text{Answering \textsf{your question(s)....}}[/tex]

[tex]\huge\textsf{Option A.}\\\\\large\text{-17 - 8}\\\large\text{= \bf -25}[/tex]

[tex]\huge\textsf{Option B.}\\\large\text{-27 - -32}\\\large\text{= -27 - (-32)}\\\large\text{= -27 + 32}\\\large\text{= \bf 5}[/tex]

[tex]\huge\textsf{Option C.}\\\large\text{110 - -212}\\\large\text{= 110 - (-212)}\\\large\text{= 110 + 212}\\\large\text{= \bf 322}[/tex]

[tex]\huge\textsf{Option D.}\\\large\text{-432 - 375}\\\large\text{= \bf -807}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]