All categories

3 years ago

H(x) = 4 – 2x Find x if h(x) = 16

Mathematics

1 answer:

VashaNatasha [74]3 years ago

3 0

Answer:

-6

Step-by-step explanation:

h(x)=4-2x

h(x)=16

4-2x=16

-2x=12

x=(-6)

When you put -6 instead of x at the h function output is 16

You might be interested in

Help :( i came into class late

Setler [38]

Answer:

If this isnt right im sorry but i think that it is the last answer

sorry if i got it wrong please tell me

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers

a gardener has 322 tulip bulbs she wants to plant rows of 15 bulbs how many bulbs can be planted how many bulbs will she have le

Elden [556K]

Answer:315 bulbs planted and 7 left over

Step-by-step explanation:322/15 = 21.44

Roughly around 21 rows.

21 x 15 = 315 bulbs planted

322 - 315 = 7 bulbs left over

3 0

3 years ago

PLS TRY TO ANSWER ASAP.

Harrizon [31]

Answer:

0.075 m/min

Explanation:

You need to use derivatives which is an advanced concept used in calculus.

1. Write the equation for the volume of the cone:

$V=\dfrac{1}{3}\pi r^2h$

2. Find the relation between the radius and the height:

r = diameter/2 = 5m/2 = 2.5m

h = 5.2m

h/r =5.2 / 2.5 = 2.08

3. Filling the tank:

Call y the height of water and x the horizontal distance from the axis of symmetry of the cone to the wall for the surface of water, when the cone is being filled.

The ratio x/y is the same r/h

x/y=r/h

y = x . h / r

The volume of water inside the cone is:

$V=\dfrac{1}{3}\pi x^2y$

$V=\dfrac{1}{3}\pi x^2(2.08)\cdot x\\\\\\V=\dfrac{2.08}{3}\pi x^3$

4. Find the derivative of the volume of water with respect to time:

$\dfrac{dV}{dt}=2.08\pi x^2\dfrac{dx}{dt}$

5. Find x² when the volume of water is 8π m³:

$V=\dfrac{2.08}{3}\pi x^3\\\\\\8\pi=\dfrac{2.08}{3}\pi x^3\\\\\\ 11.53846=x^3\\ \\ \\ x=2.25969\\ \\ \\ x^2=5.1062$ m²

6. Solve for dx/dt:

$1.2m^3/min=2.08\pi(5.1062m^2)\dfrac{dx}{dt}$

$\dfrac{dx}{dt}=0.03596m/min$

7. Find dh/dt:

From y/x = h/r = 2.08:

$y=2.08x\\\\\\\dfrac{dy}{dx}=2.08\dfrac{dx}{dt}\\\\\\\dfrac{dy}{dt}=2.08(0.035964m/min)=0.0748m/min\approx0.075m/min$

That is the rate at which the water level is rising when there is 8π m³ of water.

4 0

3 years ago

Can you help me from 1 to 8 and tell me how you get the answers for each one of them please

weqwewe [10]

Answer:

See below.

Step-by-step explanation:

1) 4x + 8 = 2x + 10

2x = 2

x = 1

2) 9y - 3 = 6y + 12

3y = 15

y = 5

3) 8m + 4 = 4m - 20

4m = -24

m = -6

4) 11z - 14 = 5z + 4

6z = 18

z = 3

5) 3q - 6 = 8q - 6

5q = 0

q = 0

6) 20n + 7 = 6n - 21

14n = -28

n = -2

7) 2w - 8 = 7w - 3

5w = -5

w = -1

8) 9k + 4 = k - 12

8k = -16

k = -2

6 0

3 years ago

The net of a triangular pyramid is shown.

alina1380 [7]

Answer:

Step-by-step explanation:

because you need to multiply 6x4x3 divided by 3

5 0

4 years ago