what is the area of the trapezoid?

Answer:

10x-17

Step-by-step explanation:

f(x) = x^2 + 9x – 14

g(x) = x^2 – x + 3

(f – g)(x)=x^2 + 9x – 14  - (x^2 – x + 3)

Distribute the minus sign

(f – g)(x)=x^2 + 9x – 14  - x^2 + x - 3

Combine like terms

    =10x-17

Step-by-step explanation:

Answer:

Step-by-step explanation:

(1 + 2i) / (1 + i)                            Rationalize the denominator.

(1 + 2i)(1+i) / (1 + i)(1-i)                  Remove the brarckets

(1 + i + 2i - 2) / (1 - i + i  - i^2)     Combine

-1 + 3i / (2)                                i^2 = - 1 in the denominator

Answer:

The correct answer is no.B

Answer:

5

Step-by-step explanation:

2y=10+x

y=3x

Equalizing both sides:

10+x=3x

10=3x-x

10=2x

x=5

Answer:Y=25:3

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

If there were 20 children at a party, and each were given one cookie, then a total of 20 cookies were given out.

However, this is not the case, as 32 cookies were given out. So, we can see that 32 - 20 children, or 12 children, received one additional cookie.

Let me know if this helps!

9514 1404 393

Answer:

  20,971,520

Step-by-step explanation:

The population is doubling every hour, so after 17 hours it will be the initial population (160) multiplied by 2^17 = 131,072.

After 17 hours, he can expect to find 160×131072 = 20,971,520 bacteria.

Answer:

Hello,

answer C

Step-by-step explanation:

[tex]f(x)=x^2+2x-8\\\\=x^2-4x+2x-8\\\\=x(x-4)+2(x-4)\\\\=(x-4)(x+2)\\\\Answer\ C[/tex]

Answer:

y=6x-8

Step-by-step explanation:

y=2(x-8)+4x

y=2x+4x-8, y=6x-8

Answer: Therefore 100 student tickets were sold

Step-by-step explanation:

Let the number of student tickets be x

So adult tickets = 390 - x

ATQ

4.5(x) + 6(390-x) = 2190

4.5x + 2340 - 6x = 2190

-1.5x + 2340 = 2190

-1.5x = 2190-2340

-1.5x = -150

x = -150/-1.5

x = 100

Therefore 100 student tickets were sold

please click thanks and mark brainliest if you like :)

Answer:

3.6miles

Step-by-step explanation:

9/2.5=3.6

Answer:

plz complete question

so I can help you.

Answer:

Hello,

answer slope =-3/4=-0.75

Step-by-step explanation:

Line is passing through (0,1) and (4,-2)

[tex]\Delta y=-2-1=-3\\\\\Delta x=4-0=4\\\\Slope=\dfrac{-3}{4}[/tex]

Answer:

y = 1        m = -3       b = 1

Step-by-step explanation:

y = mx + b                          y = -3x + 1

y = 1

m = -3

b = 1

Answer:

y = -1/6x - 1.

Step-by-step explanation:

I  am assuming that the point id (6, -2).

The slope of the required line = -1/6.

y - y1 = m(x - x1) where m = slope and x1,y1 is a point on the line so we have

y - (-2) = -1/6( x- 6)

y + 2 = -1/6x + 1

y = -1/6x - 1.

Answer:

Bri what do you mean explanation your answer is correct

Please mark me brainliest thanks

Answer:

It is 77.2, so your anwer is correct.

Step-by-step explanation:

Finding decimal divided by decimal too hard? Don't worry, I've got your back! To do division, you can do it the hard way by just dividing it, but there's something more simple.

Move the dividend's decimal point to the right until it's not a decimal. Do the same with the divisor, but it depends on how many decimal places on the dividend was moved by. So in this case, you move it by 2 decimal places for BOTH! Then you just simply divide it. It gives you the same answer.

BTW if I didn't make my explanation clear, please comment.

Answer:

Answer:y=-2/9+3

Step-by-step explanation:

Answer:

c=-26/4 simple addition and multiplation

Step-by-step explanation:

[tex] - 14 = 3 - c + (9 + 5c) \\ - 14 = 3 - c + 9 + 5c \\ c - 5c = 3 + 9 + 14 \\ - 4c = 3 + 9 + 14 \\ - 4c = 26 \\ - 2c = 13 \\ c = - \frac{13}{2} \\ c = - 6.5[/tex]

Answer:

Hello,

19

Step-by-step explanation:

2 methodes:

1)

[tex]y=-4x^2+20x-6\\\\=-4(x^2-5x)-6\\\\=-4(x^2-2*\dfrac{5}{2}*x+\dfrac{25}{4} ) +25-6\\\\=-4(x-\frac{5}{2} )^2+19\\\\Maximum\ =19 \ if\ x=\dfrac{5}{2} \\[/tex]

2)

y'=-8x+20=0 ==> x=20/8=5/2

and y=-4*(5/2)²+20*5/2-6=-25+50-6=19

finding maximums/minimums in quadratic equations:

The maximum value is 19

We want to find the maximum value of:

y = -4z^2+20z-6

Here, you can see that we have a quadratic equation with a negative leading coefficient.

This means that the arms of the graph will go downwards. From this, we can conclude that the maximum will the at the vertex (the highest point).

Remember that for a general equation like:

y = a*x^2 + b*x + c

The x-value of the vertex is:

x = -b/(2a)

(you can see that the variable is a different letter, that does not matter, is just notation)

Then for our equation:

y = -4z^2+20z-6

The z-value of the vertex is:

z = -20/(2*-4) = -20/-8 = 5/2

Then the maximum of the equation:

y = -4z^2+20z-6

is that equation evaluated in z = 5/2

So we get:

y = -4*(5/2)^2 + 20*(5/2) - 6  = 19

The maximum value is 19

If you want to learn more about this topic, you can read:

https://brainly.com/question/14336752

Answer:

2.31 m

Step-by-step explanation:

with marking down to centimeter length, one can only estimate accurately to the nearest  centimeter or hundredth of a meter.

Answer:2.31 meter

Step-by-step explanation: none

Write z = -8 in polar form:

[tex]z = -8 = 8e^{i\pi}[/tex]

Then the cube roots of z are

[tex]z^{1/3} = 8^{1/3} e^{i\left(\frac{\pi+2n\pi}3\right)[/tex]

where n ∈ {0, 1, 2}, or

[tex]z^{1/3} \in \left\{8^{1/3} e^{i\pi/3}, 8^{1/3} e^{i\pi}, 8^{1/3} e^{i\,5\pi/3}\right\} \\\\ z^{1/3} \in \left\{2 \left(\dfrac12 + i\dfrac{\sqrt3}2\right), -2, 2 \left(\dfrac12-i\dfrac{\sqrt3}2\right)\right\} \\\\ \boxed{z^{1/3} \in \left\{1+i\sqrt3, -2, 1-i\sqrt3\right\}}[/tex]

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

the data value of x is 0 the the value would be .75 times that by 2 get 1.25

Answer:

i need the graph

Step-by-step explanation:

.

Answer:

Wouldn't it just be

     24997

20 ------------

     25000

Step-by-step explanation:

Answer:

20 24997/25000

Step-by-step explanation:

1. Convert 0.99988 into a fraction...99988/100000

2.Simplify with greatest common factor.....99988/4=24997      100000/4=25000

24997/25000

3. Add 20 to 24997/25000......20 24997/25000

Common difference between the terms is 36

Formula for nth term is [tex]a_n=36n-11[/tex]

27th term is 961

Given :

X, 2X + 11 and 4X - 3 are consecutive terms of an arithmetic sequence

To Find:

We need to find the constant difference between the given terms and also find the nth term . Also find the 27th term .

To find the difference , we need to take the difference of consecutive terms

[tex]2x+11-x=x+11\\\\4x-3=(2x+11)= 4x-3-2x-11=2x-14[/tex]

Both the common differences are equal

[tex]x+11=2x-14\\Solve \; for \; x\\Subtract \; x\\11=x-14\\Add \; 14\\x=25[/tex]

First term is 25

second term is 2(25)+11=61

Difference is 61-25=26

Common difference = 36

Use nth term formula is

[tex]a_n=a+(n-1)d\\a=25 (first term )\\d=36\\a_n=25+(n-1)(36)\\a_n=25+36n-36\\a_n=36n-11[/tex]

To find 27th term , replace n with 27

[tex]a_{27}=36(27)-11=961[/tex]

Learn more :  brainly.in/question/41142594