What is 6 1/3 - 1 1/2 =

A trapezoid is shown. The lengths of the bases are 4 and 8. The height of the altitude is 4. What is the area of the trapezoid?

katrin [286]

It would be 24 units^2 because the middle is 16 and the two triangles are 4 each

3 0

3 years ago

Read 2 more answers

In Exercises 45–48, let f(x) = (x - 2)2 + 1. Match the function with its graph

MA_775_DIABLO [31]

Answer:

45) The function corresponds to graph A

46) The function corresponds to graph C

47) The function corresponds to graph B

48) The function corresponds to graph D

Step-by-step explanation:

We know that the function f(x) is:

$f(x)=(x-2)^{2}+1$

45)

The function g(x) is given by:

$g(x)=f(x-1)$

using f(x) we can find f(x-1)

$g(x)=((x-1)-2)^{2}+1=(x-3)^{2}+1$

If we take the derivative and equal to zero we will find the minimum value of the parabolla (x,y) and then find the correct graph.

$g(x)'=2(x-3)$

$2(x-3)=0$

$x=3$

Puting it on g(x) we will get y value.

$y=g(3)=(3-3)^{2}+1$

$y=g(3)=1$

Then, the minimum point of this function is (3,1) and it corresponds to (A)

46)

Let's use the same method here.

$g(x)=f(x+2)$

$g(x)=((x+2)-2)^{2}+1$

$g(x)=(x)^{2}+1$

Let's find the first derivative and equal to zero to find x and y minimum value.

$g'(x)=2x$

$0=2x$

$x=0$

Evaluatinf g(x) at this value of x we have:

$g(0)=(x)^{2}+1$

$g(0)=1$

Then, the minimum point of this function is (0,1) and it corresponds to (C)

47)

Let's use the same method here.

$g(x)=f(x)+2$

$g(x)=(x-2)^{2}+1+2$

$g(x)=(x-2)^{2}+3$

Let's find the first derivative and equal to zero to find x and y minimum value.

$g'(x)=2(x-2)$

$0=2(x-2)$

$x=2$

Evaluatinf g(x) at this value of x we have:

$g(2)=(2-2)^{2}+3$

$g(2)=3$

Then, the minimum point of this function is (2,3) and it corresponds to (B)

48)

Let's use the same method here.

$g(x)=f(x)-3$

$g(x)=(x-2)^{2}+1-3$

$g(x)=(x-2)^{2}-2$

Let's find the first derivative and equal to zero to find x and y minimum value.

$g'(x)=2(x-2)$

$0=2(x-2)$

$x=2$

Evaluatinf g(x) at this value of x we have:

$g(2)=(2-2)^{2}-2$

$g(2)=-2$

Then, the minimum point of this function is (2,-2) and it corresponds to (D)

I hope it helps you!

8 0

3 years ago

Writing an Equation from a Table

Anastasy [175]

The equation of the line will be y = 4x. Then the correct option is A.

<h3>What is the equation of line?</h3>

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

Writing an Equation from a Table

A 2-column table with 6 rows. Column 1 is labeled x with entries 8, 12, 16, 20, 24, 28. Column 2 is labeled y with entries 2, 3, 4, 5, 6, 7.

Then at (2, 8) and (3, 12), we have

y – 8 = [(12 – 8) / (3 – 2)] (x – 2)

y – 8 = 4x – 8

y = 4x

Then the correct option is A.

More about the equation of line link is given below.

brainly.com/question/21511618

#SPJ1

7 0

2 years ago

Hey there is a link! It would mean a lot if you would give me the awnsers to these 3 questions! It’s grade 7 math! Thanks, all y

joja [24]

Answer:

a

Step-by-step explanation:

5 0

3 years ago

A village water tank measures 8m x5m x 3m. What is the capacity of the tank when full?

Bad White [126]

Answer:

Hence, the capacity of the tank when full is 120 cubic m.

Step-by-step explanation:

The measures of water tank is 8m x 5m x 3m.

The capacity of the tank when full is nothing but the capacity of the full tank which is the multiples of given dimensions.

The capacity of the tank when full is,

8m x 5m x 3m = 40 m^2 x 3m

= 120 m^3.

Hence, the capacity of the tank when full is 120 cubic m.

3 0

2 years ago

What is 6 1/3 - 1 1/2 =​

What is 6 1/3 - 1 1/2 =