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Rashid [163]
3 years ago
7

Evaluate x+2.7 for x=-1.5

Mathematics
1 answer:
jonny [76]3 years ago
3 0

Answer:

1.2

Step-by-step explanation:

First make -1.5 equal to 0.

We'll have to add 1.5, right?

So 1.5 is in 2.7.

So now its 0 + ? = ?

2.7 - 1.5 = 1.2

So 0 + 1.2 = 1.2

Hope this helped.

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F(x) = 3x + 9, find f^-1(x)
lianna [129]

Answer:

y=x-9/3

Step-by-step explanation:

f(x)=3x+9

let f(x)=y

y=3x+9

change position of x & y

x=3y+9

rearrange:

x-9=3y

y=x-9/3

6 0
3 years ago
A dog trainer has 96 ft of fencing that will be used to create a rectangular work area. Encloses area of 320 ft^2. What will be
Anastaziya [24]

Answer:

<em>The dimensions of the area will be 8 ft x 40 ft</em>

Step-by-step explanation:

<u>Area and Perimeter</u>

The perimeter can be understood as the distance measured around a shape. The area gives us the idea of the space occupied by the shape. Being w and l the width and length of a rectangle, the perimeter and areas can be computed as follows

A=wl

P=2w+2l

The dog trainer has 96 ft of fencing to cover a 320 ft^2 rectangular area. This means that

wl=320

2w+2l=96

A system of equations is formed

\left\{\begin{matrix}wl=320\\ 2w+2l=96\end{matrix}\right

We divide the last equation by 2

w+l=48

solve for w

w=48-l

Replacing in the first equation

(48-l)l=320

Operating and arranging

l^2-48l+320=0

(l-8)(l-40)=0

We have two possible answers

l=8,\ l=40

Which gives us

w=40,\ w=8

In any case, the dimensions of the area will be 8 ft x 40 ft

6 0
2 years ago
Write this expression in simplified form.<br> -5x^6*9x^5
masya89 [10]

Answer:

-45x^11

Step-by-step explanation:

-5x^6 * 9x^5

Multiply -5x and 9x together:

-45x

Remember when multiplying powers, you add them together, which leaves you with:

-45x^11

5 0
3 years ago
In triangle ABC, angle A is 75o and angle B is 20o. Select the triangle that is similar to triangle ABC.
Arturiano [62]

Answer:

A. \triangleDEF where \angle D = 75^{\circ} and \angle E = 20^{\circ}.

Step-by-step explanation:

At first we must keep in mind that two triangles are similar when they have same angle configuration, that is, each pair of angles is congruent. If \triangleABC and \triangleDEF, then \angle A \equiv \angle D and \angle B \equiv \angle E. Hence, \angle D = 75^{\circ} and \angle E = 20^{\circ}.

In a nutshell, correct answer is A.

4 0
3 years ago
One litre of milk is poured into a cylindrical container of radius 10 cm. Calculate the depth of the milk in cm)to 2 dp. ( take
wel

Answer:

Depth=3.18cm

Step-by-step explanation:

V=πr2h

1LITRE=1000CM3

v=1000cm³

1000cm3=3.142×10²×Depth

Depth= 1000/3.142×100

Depth=3.18cm

8 0
3 years ago
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