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Nimfa-mama [501]
3 years ago
10

4. Solve the inequality.​

Mathematics
1 answer:
olga2289 [7]3 years ago
7 0

Answer:

D

Step-by-step explanation:

Given

- 12 ≤ 2x - 4 < 10 ( add 4 to all 3 intervals )

- 8 ≤ 2x < 14 ( divide all 3 intervals by 2 )

- 4 ≤ x < 7

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What is the weight of a square on this hanger if a triangle weighs 3 grams?<br>​
Sedbober [7]

Answer:

it would be 36grms

Step-by-step explanation:

2 triangles makes a square

count how many sides in a cube

multi. how many triangles are in a side to how many sides

times how many triangles to how much grams each triangle weights

3 0
3 years ago
Divide -3x^3-2x^2-x-2 by x-2
Rasek [7]

Let's do this by Briot-Ruffini


First: Find the monomial root


x - 2 = 0

x = 2


Second: Allign this root with all the other coeficients from equation

Equation = -3x³ - 2x² - x - 2

Coeficients = -3, -2, -1, -2

2 | -3 -2 -1 -2


Copy the first coeficient


2 | -3 -2 -1 -2

-3


Multiply him by the root and sum with the next coeficient


2.(-3) = -6

-6 + (-2) = -8


2 | -3 -2 -1 -2

-3 -8


Do the same


2.(-8) = -16

-16 + (-1) = -17


2 | -3 -2 -1 -2

-3 -8 -17


The same,


2.(-17) = -34

-34 + (-2) = -36


2 | -3 -2 -1 -2

-3 -8 -17 -36


Now you just need to put the "x" after all these numbers with one exponent less, see


2 | -3x³ - 2x² - 1x - 2

-3x² - 8x - 17 -36


You may be asking what exponent -36 should be, and I say:


None or the monomial. He's like the rest of this division, so you can say:


(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 with rest -36 or you can say:

(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 - 36/(x - 2)


Just divide the rest by the monomial.

5 0
3 years ago
The surface areas of two similar solids are 340 yd² and 1,158 yd². The volume of the larger solid is 1,712 yd³. What is the volu
ratelena [41]

The ratio of surface area is equal to the ratio of the square of the corresponding dimensions. And ratio of volumes of two solids is equal to the cube of the ratio of the corresponding dimensions .

We start with the relation between ratio of surface area and ratio of corresponding sides. That is

\frac{340}{1158}=(\frac{x}{y} )^2

Here x and y are the corresponding sides .

\frac{x}{y} =\sqrt{\frac{340}{1158} } =0.542

Let the volume of the smaller one be v

\frac{v}{1712}=0.542^3

v=1712*0.542^3=272

So for the smaller solid, volume is 272 . And the correct option is the first option .

4 0
3 years ago
What is the y-coordinate of the point that divides the
natima [27]

Answer:

y-coordinate = 0

Step-by-step explanation:

Consider the below diagram attached with this question.

Section formula:

If a point divides a line segment in m:n whose end points are (x_1,y_1) and (x_2,y_2), then the coordinates of that point are

(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})

From the below graph it is clear that the coordinates of end points are J(1,-10) and K(7,2). A point divides the line JK is 5:1.

Using section formula, the coordinates of that point are

(\frac{(5)(7)+(1)(1)}{5+1},\frac{(5)(2)+(1)(-10)}{5+1})

(\frac{35+1}{6},\frac{10-10}{6})

(\frac{36}{6},\frac{0}{6})

(6,0)

Therefore, the y-coordinate of the point that divides the directed line segment from J to k into a ratio of 5:1 is 0.

8 0
3 years ago
Read 2 more answers
A red die is tossed and then a green die is tossed what is the probability that the red die shows a six or the green die shows a
Dovator [93]
The red die would be 1/6 and the green die would be 1/6 but when you combine them you get the awnser 2/12.
6 0
3 years ago
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