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gulaghasi [49]
3 years ago
7

The sum of twice a number and 2 is greater than 4

Mathematics
2 answers:
faust18 [17]3 years ago
8 0
2(n + 2) > 4 Is the answer
laila [671]3 years ago
5 0

Let's make the inequality.

The sum of twice a number and 2. We're adding and multiply. X will be the number. 2x+2

Is greater than 4. We'll be using the greater than sign. >4; let's put it together.

2x+2>4; let's solve. First by subtracting two on both sides. 2x>2; let's divide by 2. x>1

So, the inequality is 2x+2>4. To solve it, it is x>1.

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A sheet custom size copy paper measures 8.5 in. by 10 in. if a ream (500 sheets) of this paper has a volume of 170 in to the thi
Snezhnost [94]

170 = 10(8.5)h

170 = 85h /:85

2 = H

The ream is 2 inches thick.

3 0
3 years ago
The endpoints of EF¯¯¯¯¯ are located at E (−3, 2) and F (3, 8). Point D divides EF¯¯¯¯¯ such that ED : DF is equal to 1 : 3. For
arlik [135]

Answer:

D(x,y) = (-1.5,3.5)

Step-by-step explanation:

Given

E = (-3,2)

F = (3,8)

ED: DF = 1 : 3

Required

Determine the coordinates of D

This is calculated as thus:

D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})

Where:

(x_1,y_1) = (-3,2)

(x_2,y_2) = (3,8)

m:n = 1:3

D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})

D(x,y) = (\frac{1 * 3 + 3 *-3}{1+3},\frac{1 * 8 + 3 * 2}{1+3})

D(x,y) = (\frac{-6}{4},\frac{14}{4})

D(x,y) = (-1.5,3.5)

3 0
3 years ago
Factor each of the following expressions into two binomials.
Anestetic [448]
Answer:

Explanation:

1.
x^2 - 10x + 24
= (x - 6)(x - 4)

2.
x^2 - 12x + 27
= (x - 9)(x - 3)

3.
x^2 - 13x + 36
= (x - 9)(x - 4)

4.
x^2 - 5x - 14
= (x - 7)(x + 2)

5.
x^2 + x - 20
= (x + 5)(x - 4)

6.
x^2 - 3x - 40
= (x - 8)(x + 5)

7.
x^2 + 2x - 48
= (x - 8)(x + 6)

8.
x^2 + 10x - 24
= (x - 2)(x + 12)

9.
x^2 - 7x - 44
= (x - 11)(x + 4)

10.
x^2 + x - 2
= (x + 2)(x - 1)

11.
x^2 + 2x + 1
= (x + 1)(x + 1)

12.
x^2 - x - 6
= (x - 3)(x + 2)
7 0
3 years ago
In a certain​ chemical, the ratio of zinc to copper is 3 to 11. A jar of the chemical contains 264 grams of copper. How many gra
natka813 [3]

Answer:

57

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A circular oil spill continues to increase in size. The radius of the oil spill, in miles, is given by the function r(t) = 0.5 +
cestrela7 [59]

The <em><u>correct answer</u></em> is:

A(r(t))=\pi(0.25+2t+4t^2)

Explanation:

To write a composite function, we apply one function to another given function. In this case, we want to find area in terms of time; this means that the function A(r) gets applied to the function r(t).

In order to do this, we replace r with r(t). We already know that r(t)=0.5+2t; this means we replace r with 0.5+2t:

A(r(t))=π(0.5+2t)²

To simplify this, we simplify the squared term:

A(r(t)) = π(0.5+2t)(0.5+2t)

A(r(t)) = π(0.5*0.5+0.5*2t+2t*0.5+2t*2t)

A(r(t)) = π(0.25+t+t+4t²)

A(r(t)) = π(0.25+2t+4t²)

5 0
3 years ago
Read 2 more answers
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