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4 years ago

Given f(x)=-4+1 find f(2)

Mathematics

1 answer:

AleksAgata [21]4 years ago

8 0

I think you left out something, is it -4x+1

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what is 12/3 as an improper fraction? a. 2/3 b. 5/3 c. 8/3 d. 6/3 user: what is 20 × 6? a. 100 b. 40 c. 12 d. 120

Sedbober [7]

$1\dfrac{2}{3}=\dfrac{1\cdot3+2}{3}=\boxed{\dfrac{5}{3}}\to\fbox{b.}\\\\20\times6=6\cdot(2\cdot10)=6\cdot2\cdot10=12\cdot10=\boxed{120}\to\fbox{d.}$

7 0

3 years ago

Given three consecutive integers with a sum of four times the second number, write an algebraic equation for this situation

Black_prince [1.1K]

Define x:

Let the first number be x.

1st number = x
2nd number = x + 1
3rd number = x + 2

Construct equation:
x + x + 1 + x + 2 = 4(x + 1)
3x + 3 = 4(x + 1)

Answer: 3x + 3 = 4(x + 1)

5 0

3 years ago

A horizontal trough is 16 m long, and its end are isosceles trapezoids with an altitude of 4 m, a lower base of 4 m, and an uppe

Ganezh [65]

Answer:

0.28cm/min

Step-by-step explanation:

Given the horizontal trough whose ends are isosceles trapezoid

Volume of the Trough =Base Area X Height

=Area of the Trapezoid X Height of the Trough (H)

The length of the base of the trough is constant but as water leaves the trough, the length of the top of the trough at any height h is 4+2x (See the Diagram)

The Volume of water in the trough at any time

$Volume=\frac{1}{2} (b_{1}+4+2x)h X H$

$Volume=\frac{1}{2} (4+4+2x)h X 16$

=8h(8+2x)

V=64h+16hx

We are not given a value for x, however we can express x in terms of h from Figure 3 using Similar Triangles

x/h=1/4

4x=h

x=h/4

Substituting x=h/4 into the Volume, V

$V=64h+16h(\frac{h}{4})$

$V=64h+4h^2\\\frac{dV}{dt}= 64\frac{dh}{dt}+8h \frac{dh}{dt}$

h=3m,

dV/dt=25cm/min=0.25 m/min

$0.25= (64+8*3) \frac{dh}{dt}\\0.25=88\frac{dh}{dt}\\\frac{dh}{dt}=\frac{0.25}{88}$

=0.002841m/min =0.28cm/min

The rate is the water being drawn from the trough is 0.28cm/min.

3 0

4 years ago

Make a conjecture. How could the distance formula and slope be used to classify triangles and quadrilaterals in the coordinate p

Alexeev081 [22]

the distance formula to find the length of the sides... opposite sides equal it could be a rectangle or parallelogram all sides equal, square or rhombus adjacent equal, kite and then the slope is used to check angles if the product of the 2 lines in -1 the lines are perpendicular (right angle) the the slopes of 2 lines are the same the sides are parallel.

I think this is it ^_^

7 0

3 years ago

A parabola is defined by the equation x2 = 3/4 y. In which direction will the parabola open?

TEA [102]

The equation of parabola is $x^2=\dfrac{3}{4}y$ .
The canonical equation of parabola is $y^2=2p x$ and this parabola has branches that go in positive direction of x-axis.

Since in your equation x is changed to y and y to x, then the branches of the parabola go in positive y-axis direction, the vertex is placed at the origin.

8 0

4 years ago