Find the lcm of 5,,6,7

Suppose h = f○g. Find h'(0) given that f(0) = 8, f '(3) = -4, g(0) = 3, and g '(0) = 9.

Marat540 [252]

<span>Suppose h = f○g. Find h'(0) given that f(0) = 8, f '(3) = -4, g(0) = 3, and g '(0) = 9.

h'(x)=f(g')+g(f')
therefore
h'(0)= 8(9)+3(-4) = 60

</span>

7 0

4 years ago

A system of equations is graphed on the coordinate plane.

densk [106]

-x+5=2x-1
+x +x
5=3x-1
+1 +1
6=3x
/3 /3
2=x

first you take both equations and set them equal to each other because they both equal Y then you add x to both sides to eliminate it from one side. next you add 1 to both sides so that you have 6 equals 3x. lastly you divide both sides by 2 to get your final answer x equals 2.

y=2x-1
y=2•2-1
y=4-1
y=3

when solving for y you have to choose one of the equations and substitute the answer you got for x in which is 2. Then you solve it like a regular equation and multiply first 2 by 2 and lastly subtract 1 from 4 which leaves you with an answer of y=3.

The coordinate point would be (2,3) because x=2 and y=3.

3 0

3 years ago

It’s asking for the area<br> Please help me! Thank you!

Sliva [168]

<h3>Answer: x^2+9x+8</h3>

==============================================================

Explanation:

With many math problems, a good strategy is to break things down into smaller pieces. In this case, we need to find the area of each individual smaller rectangle

A = blue rectangle area = length*width = x*x = x^2

B = purple rectangle area = length*width = x*1 = x

C = green rectangle area = length*width = 8*x = 8x

D = orange rectangle area = length*width = 1*8 = 8

Add up A through D to get the overall area of the entire or largest rectangle possible

total area = A+B+C+D = x^2+x+8x+8 = x^2+9x+8

notice how x+8x turns into 9x. You can think of it as 1x+8x = (1+8)x = 9x

This is because x and 8x are like terms which can be combined. Everything else is left as is.

Because we don't know what number goes in place for x, we cannot simplify or evaluate x^2+9x+8 any further.

4 0

4 years ago

Identify the polygon with vertices A(5,0), B(2,4), C(−2,1), and D(1,−3), and then find the perimeter and area of the polygon. HE

inn [45]

Answer:

Part 1) The polygon is a square

Part 2) The perimeter is equal to $20\ units$

Part 3) The area is equal to $25\ units^{2}$

Step-by-step explanation:

we have

$A(5,0), B(2,4), C(-2,1),D(1,-3)$

Plot the points

see the attached figure

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance AB

$A(5,0),B(2,4)$

substitute in the formula

$d=\sqrt{(4-0)^{2}+(2-5)^{2}}$

$d=\sqrt{(4)^{2}+(-3)^{2}}$

$d=\sqrt{25}$

$AB=5\ units$

Find the distance BC

$B(2,4), C(-2,1)$

substitute in the formula

$d=\sqrt{(1-4)^{2}+(-2-2)^{2}}$

$d=\sqrt{(-3)^{2}+(-4)^{2}}$

$d=\sqrt{25}$

$BC=5\ units$

Find the distance CD

$C(-2,1),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-1)^{2}+(1+2)^{2}}$

$d=\sqrt{(-4)^{2}+(3)^{2}}$

$d=\sqrt{25}$

$CD=5\ units$

Find the distance AD

$A(5,0),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-0)^{2}+(1-5)^{2}}$

$d=\sqrt{(-3)^{2}+(-4)^{2}}$

$d=\sqrt{25}$

$AD=5\ units$

we have that

AB=BC=CD=AD

Find the distance BD (diagonal)

$B(2,4),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-4)^{2}+(1-2)^{2}}$

$d=\sqrt{(-7)^{2}+(-1)^{2}}$

$BD=\sqrt{50}\ units$

<em>Verify if the polygon is a square</em>

If the triangle BDA is a right triangle, then the polygon is a square

Applying the Pythagoras theorem

$BD^{2}=AD^{2}+AB^{2}$

substitute

$(\sqrt{50})^{2}=5^{2}+5^{2}$

$50=50$ -----> is true

so

The triangle BDA is a right triangle

therefore

The polygon is a square

<em>Find the Area of the polygon</em>

The area of a square is equal to

$A=b^{2}$

we have

$b=5\ units$

$A=5^{2}=25\ units^{2}$

<em>Find the perimeter of the polygon</em>

The perimeter of a square is equal to

$P=4b$

we have

$b=5\ units$

$P=4(5)=20\ units$

6 0

3 years ago

A line is represented by the equation y = x + 2. Suppose the slope of the line was doubled and the value of the y-intercept was

Komok [63]

Answer:

y = 2x + 1

Step-by-step explanation:

slope is the coefficient of the 'x' term, in this case 1

doubling 1 gives you 2

y-intercept is 2, dividing this by 2 gives you 1

5 0

3 years ago

Find the lcm of 5,,6,7​

Find the lcm of 5,,6,7