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Romashka [77]
3 years ago
13

What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-3, 2)

Mathematics
1 answer:
qwelly [4]3 years ago
7 0
2y = 12 - 5x
y = 6 - 5/2x

2 = -5/2(-3) + b
2 = 15/2 + b
2 - 15/2 = b
b = -11/2

y = 15/2x - 11/2
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What is the total cost of a pair of jeans that are priced $40.00 if there is a 6.5% sales tax? $40.65 $42.60 $44.00 $46.50
-Dominant- [34]
A pair of jeans = $40.00
There is a 6.5% sales tax.

First change the % into a decimal by moving the decimal point two spaces to the left.
0.065

Multiply that by 40.00 to find out how much the tax is.

40 × 0.065 = 2.6

Now add the tax to the initial price.
40.00 + 2.6 = 42.60

The total cost is $42.60.
8 0
3 years ago
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What shape is this?<br> A.cylinder<br> B.square<br> C.rectangle<br> D.tetrahedron
Mice21 [21]
Thats a rectangle .........
6 0
3 years ago
The domain of both
Margarita [4]

Answer:

The domain of function h(x) is set of all real numbers.

Domain: (-∞,∞)

Step-by-step explanation:

Given:

f(x)=x-6

g(x)=x+6

the domain of both the above functions is all real number.

To find domain of :

h(x)=f(x)g(x)

Substituting functions f(x) and g(x) to find h(x)

h(x)=(x-6)(x+6)

The product can be written as difference of squares. [a^2-b^2=(a+b)(a-b)]

∴ h(x)=x^2-36

The degree of the function h(x) is 2 as the exponent of leading term x^2 is 2. Thus its a quadratic equation.

For any quadratic equation the domain is set of all real numbers.  

So Domain of h(x) is (-∞,∞)

7 0
3 years ago
If 1200 cm2 of material is available to make a box with a square base and an open top, find the largest possible volume of the b
Colt1911 [192]

Answer:

The largest possible volume V is ;

V = l^2 × h

V = 20^2 × 10 = 4000cm^3

Step-by-step explanation:

Given

Volume of a box = length × breadth × height= l×b×h

In this case the box have a square base. i.e l=b

Volume V = l^2 × h

The surface area of a square box

S = 2(lb+lh+bh)

S = 2(l^2 + lh + lh) since l=b

S = 2(l^2 + 2lh)

Given that the box is open top.

S = l^2 + 4lh

And Surface Area of the box is 1200cm^2

1200 = l^2 + 4lh ....1

Making h the subject of formula

h = (1200 - l^2)/4l .....2

Volume is given as

V = l^2 × h

V = l^2 ×(1200 - l^2)/4l

V = (1200l - l^3)/4

the maximum point is at dV/dl = 0

dV/dl = (1200 - 3l^2)/4

dV/dl = (1200 - 3l^2)/4 = 0

3l^2= 1200

l^2 = 1200/3 = 400

l = √400

I = 20cm

Since,

h = (1200 - l^2)/4l

h = (1200 - 20^2)/4×20

h = (800)/80

h = 10cm

The largest possible volume V is ;

V = l^2 × h

V = 20^2 × 10 = 4000cm^3

4 0
3 years ago
Help ASAP I’m lost on this question
GenaCL600 [577]

Answer: did u get it right

Step-by-step explanation:

6 0
3 years ago
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