All categories

3 years ago

How many points on the graph represent a relative extreme value

Mathematics

1 answer:

svlad2 [7]3 years ago

6 0

Answer:

only b so 1 point

Step-by-step explanation:

it is a relative or absolute maximum

Hope this helps! :)

You might be interested in

Simplify as far as possible. 2 √ 75 + 3 √ 12

Hunter-Best [27]

16√3 or ≈27.71…
Hope it helps!

3 0

2 years ago

Read 2 more answers

What is the solution for x in the given equation? The square root of 9x +7 + the square root of 2x = 7

cestrela7 [59]

Answer:

The solution is x =2 for the given equation $\sqrt{9x+7} +\sqrt{2x}=7$

Step-by-step explanation:

We need to find the solution for x in the given equation.

$\sqrt{9x+7} +\sqrt{2x}=7$

Solving:

Subtract $\sqrt{2x}$ from both sides

$\sqrt{9x+7} =7-\sqrt{2x}$

Taking square on both sides

$(\sqrt{9x+7})^2 =(7-\sqrt{2x})^2\\Using\,\, (a-b)^2 = a^2-2ab-b^2\\9x+7=(7)^2-2(7)(\sqrt{2x})+(\sqrt{2x})^2\\9x+7=49-14\sqrt{2x}+2x\\9x-2x+7-49=-14\sqrt{2x}\\7x-42=-14\sqrt{2x}\\Taking\,\,square\,\,on\,\,both\,\,sides\\(7x-42)^2=(-14\sqrt{2x})^2\\49x^2-2(7x)(42)+(42)^2= 196(2x)\\49x^2-588x+1764=392x\\49x^2-588x+1764-392x=0\\49x^2-980x+1764=0\\Using \,\,quadratic \,\, equation \,\,to \,\, find \,\, value \,\, of \,\, x \\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\a= 49, \, b= -980 \,\,and\,\, c = 1764$

Putting values and solving

$x=\frac{-(-980)\pm\sqrt{(-980)^2-4(49)(1760)}}{2(49)}\\x=\frac{980\pm\sqrt{614656}}{98}\\Solving\\x=18 \,\, and x =2$

Verifying the solution by putting values of x in given equation

Putting x=18

$\sqrt{9x+7} +\sqrt{2x}=7\\\sqrt{9(18)+7} +\sqrt{2(18)}=7\\\sqrt{169} +\sqrt{36}=7\\13+6=7\\19\neq 7$

So, x=18 is not solution o given equation.

Putting x = 2

$\sqrt{9x+7} +\sqrt{2x}=7\\\sqrt{9(2)+7} +\sqrt{2(2)}=7\\\sqrt{25} +\sqrt{4}=7\\5+2=7\\7=7$

So, x=2 satisfies the equation

The solution is x =2 for the given equation $\sqrt{9x+7} +\sqrt{2x}=7$

7 0

3 years ago

An arts supply store has 28 pounds of modeling clay to ship to a client. Each packing box can contain no more than

alekssr [168]

Answer:

D. The store will need exactly 38 boxes for the shipment, with 1/3 pound of clay going into the last box

Step-by-step explanation:

We need to divide the number of pounds by the numbers of pounds per box

28 ÷ 3/4

Copy dot flip

28 * 4/3

112/3

37 1/3

We will have to round up to pack all the clay

38 boxes with 1/3 in the 38th box

7 0

3 years ago

Q##..15 Graph the equation. y= 4x - 3

vlada-n [284]

Answer: Please, see the attached file.

Thanks.

Solution:

We can graph using the intercepts:

(1) y-intercept, when x=0

y=4x-3→y=4(0)-3→y=0-3→y=-3

Point=(x,y)=(0,-3)

(2) x-intercept, when y=0

y=4x-3→0=4x-3

Solving for x: Adding 3 both sides of the equation:

0+3=4x-3+3

3=4x

Dividing both sides of the equation by 4:

3/4=4x/4

3/4=x

x=3/4=0.75

Point=(x,y)=(3/4,0)=(0.75,0)

With these pair of points (0, -3) and (0.75,0) we can draw the right line

6 0

3 years ago

: John and Bob can paint a room in 12 days.

Flura [38]

Answer:

48 days

Step-by-step explanation:

In terms of rooms per day, the rates add up as ...

(1/J +1/B) +(1/W +1/N) -(1/J +1/W) = 1/12 +1/16 -1/8

1/B +1/N = (4+3-6)/48 = 1/48

Bob and Nick working together can paint 1/48 of the room each day. It will take 48 days for Bob and Nick to paint the room.

7 0

3 years ago