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2 years ago

The quotient of a number y and -3.6 is less than 6.5 (written as an inequality)

Mathematics

1 answer:

elena-14-01-66 [18.8K]2 years ago

7 0

Answer:

$\frac{y}{-3.6}$ < 6.5

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a pet store marks up all of their grooming products by 15% of the price, p. write an expression for the retail price

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Answer: 0.85p

Step-by-step explanation:

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2 years ago

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I don’t understand how to do this

schepotkina [342]

Answer:

The solution is $x =0.$

Step-by-step explanation:

The equation

$\bold{(1).}\: sin(\dfrac{3\pi }{2} +x)+sin(\dfrac{3\pi }{2} +x) =-2$

can be rewritten as

$2* sin(\dfrac{3\pi }{2} +2) =-2$

and can be further simplified to

$sin(\dfrac{3\pi }{2}+x ) =-1$ .

Now, taking the inverse sine of both sides we get:

$sin^{-1}(sin(\dfrac{3\pi }{2} +x) =sin^{-1}(-1)$

$\bold{(2).}\: \dfrac{3\pi }{2} +2 =sin^{-1}(-1)$

The value of the right side on the interval $[0,2\pi)$ is

$sin^{-1}(-1) = \dfrac{3\pi}{2} \: \:( \text{or }270^o)$ ,

which makes the equation (2)

$\dfrac{3\pi }{2}+x =\dfrac{3\pi}{2}$

solving for $x$ gives

$\boxed{x = 0}$

which is our solution.

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2 years ago

A point T on a segment with endpoints D (1, 4) and F (7, 1) partitions the segment in a 3:1 ratio. Find T.

velikii [3]

Step-by-step explanation:

given,

x1= 1 , x2= 7 , m1= 3

y1= 4 , y2= 1 , m2= 1

x=?

y=?

using section formula

x= (m2.x1 + m1.x2)/m1 + m2

x= find yourself

y= (m2.y1 + m1.y2) / m1 + m2

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2 years ago

Expand this expression (x-y)²<br>

pochemuha

Answer:

x^2 - 2xy + y^2.

Step-by-step explanation:

(x - y)^2

= (x - y)(x - y)

= x(x -y) - y(x - y)

= x^2 - xy - xy + y^2

= x^2 - 2xy + y^2.

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2 years ago

1. What is the slope of the line that passes through the given points? <br> (2, 12) and (6, 11)

Y_Kistochka [10]

Answer:

-1/4x

Step-by-step explanation:

11-12/6-2 = -1/4

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3 years ago