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wolverine [178]
3 years ago
12

Solve 13x - 4 < 12(x - 1).

Mathematics
1 answer:
Effectus [21]3 years ago
6 0
13x - 4 < 12(x-1)
13x - 4 < 12x - 12
13x - 12x < -12 + 4
x < -8
x > 8

x is greater than 8
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A, B, C, and D have the coordinates (-8, 1), (-2, 4), (-3, -1), and (-6, 5), respectively. Which sentence about the points is tr
DedPeter [7]
For this case we observe that the lines AB (red) and CD (purple) are cut at one point.
 We observe that the slopes of both lines are different (they are not reciprocal opposites).
 Therefore, the lines are not perpendicular.
 Answer:
 
AB and CD are intersecting lines but are not perpendicular.
 
See attached image.

4 0
3 years ago
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A store was keeping track of how many bottles of hand sanitizer and soap bars were sold last week. A bottle of hand sanitizer co
agasfer [191]

Answer:

Hand sanitizer=135 bottles

Bar soap=83 bottles

Step-by-step explanation:

Let x represent the hand sanitizer and y the sop.

-Our problem can be expressed as:

x+y=218\ \ \ \ \  ...i\\\\4.25x+2.15y=752.20\ \ \ \ \  ...ii

#Make x the subject in i then substitute in ii to solve;

x=218-y\\\\\therefore 4.25(218-y)+2.15y=752.20\\\\926.5-4.25y+2.15y=752.20\\\\174.3=2.1y\\\\y=83\\\\x=218-83=135

Hence, 135 bottles of hand sanitizer and 83 bottles of bar soap were sold.

5 0
3 years ago
Given the directrix of y = -1 and focus of (0, 3), which is the equation of the parabola?
guajiro [1.7K]

Answer:

y=\dfrac{1}{8}x^2+1

Step-by-step explanation:

Since the vertex is right between the vertex and the directrix, the y value of the vertex must be (3+(-1))/2=1. The x coordinate will just be the same as that of the focus, or in this case 0. This means that the vertex will be at (0,1). Since the graph opens toward the focus, it will be opening up, and since its vertex is at (0,1), it will have an equation of:

y=\dfrac{1}{8}x^2+1

Hope this helps!

3 0
4 years ago
Which products result in a difference of squares or a perfect square trinomial? check all that apply. (5x 3)(5x – 3) (7x 4)(7x 4
Scilla [17]

(7x + 4)(7x + 4) and (x – 9)(x – 9) are Perfect square trinomial. (5x + 3)(5x – 3) and (–3x – 6)(–3x + 6) shows the Difference of squares.

<h3>What is a perfect square?</h3>

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

The following are the answers

(5x + 3)(5x – 3) Difference of squares

(7x + 4)(7x + 4) is a Perfect square trinomial

(2x + 1)(x + 2) has Neither a difference of squares nor a perfect square trinomial.

(4x – 6)(x + 8) has Neither a difference of squares nor a perfect square trinomial.

(x – 9)(x – 9) is Perfect square trinomial

(–3x – 6)(–3x + 6) = (-3x)^2- ( -6)^2  Difference of squares.

Learn more about perfect square:

brainly.com/question/1415730

8 0
3 years ago
Please HELP PLEASE
Kisachek [45]

Answer:

Step-by-step explanation:

So you convert 2 1/5 to 2 2/10 and you convert 3 1/2 to 3 5/10 so that it can have the same denominator. Then you change 2 2/10 to a decimal which will be 2.2 and you change 3 5/10 to a decimal which will be 5.5. Then you multiply 2.2 by 3.5 and get 7.7. Don’t forget about the 6. You multiply 7.7 by 6 and get 46.2.

Read more on Brainly.com - brainly.com/question/14799038#readmore

8 0
3 years ago
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