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-BARSIC- [3]
3 years ago
7

Solve each inequality: 4p+3>9p+6-5p

Mathematics
1 answer:
slava [35]3 years ago
7 0

Answer: No solution

Step-by-step explanation: when you subtract 5p from 9p you get 4p. Now you have 4p on both sides. To even it out, you have to subtract 4p from 4p. Not you are only left with the 3 and 6. The final answer is 3>6 which isn't true because 3 is LESS than 6. That is why this question has no solution.

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Factor x^2 + 10x + 25. Show your work. (3 points)
Bad White [126]
 a² + 2ab + b² = (a+b) * (a + b)   <span>pattern condensed multiplication</span>

 x²      +        10x      +  25
 a²      +        2ab      +  b²    

(1x)²  +      2*1x*5    + (5)²   =     (a+b)*(a+b)
a=x         2ab= 10x      b=5  =     (x+5)*(x+5)

Answer : (x+5)*(x+5)
        

3 0
3 years ago
Question 1 (2 points) The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robo
makvit [3.9K]

Answer:

a.    T = 17s

b.    D = 72cm

Step-by-step explanation:

Given

<em>Direct Variation</em>

Distance(D)\ \alpha\ Time (T)

D = 264 cm when T = 11 s

Calculating (a)

First, the constant of variation (k) as to be calculated;

Since, there exist a direct proportion; then,

D\ \alpha\ T

D = kT

Make k the subject of formula

k = \frac{D}{T}

<em>D = 264 cm when T = 11 s; So</em>

<em />k = \frac{264}{11}<em />

<em />k = 24<em />

So: Solving for (a)

D = 408

Substitute 408 for D and 24 for k in D = kT

408 = 24 * T

Divide both sides by 24

\frac{408}{24} = T

T = \frac{408}{24}

T = 17s

<em>Hence, time to move a distance of 408cm is 17s</em>

Calculating (b)

T = 3

Substitute 3 for T and 24 for k in D = kT

D = 24 * 3

D = 72cm

<em>Hence, distance covered in 3 seconds is 72cm</em>

4 0
4 years ago
Movie tickets at a small theater are $5 for children, c, and $8 for adults, a. On a certain day, 400 people go to the movies and
grin007 [14]

Answer:

B- 125

Step-by-step explanation:

c + a = 400

a = 400 - c

5c + 8a = 2825

5c + 8(400 - c) = 2825

5c + 3200 - 8c = 2825

3c = 375

c = 125

3 0
3 years ago
What is the answer to y-2x=2
OleMash [197]
Y - 2x = 2 ....put in y = mx + b form
y = 2x + 2

In y = mx + b form, the slope will be in the m position and the y intercept will be in the b position.

y = 2x + 2.....so we have a slope(m) of 2, and a y int (b) = (0,2)

the x intercept can be found by subbing in 0 for y and solving for x
0 = 2x + 2
-2x = 2
x = -2/2
x = -1......so the x int is (-1,0)

go ahead and plot ur intercepts....(-1,0) and (0,2)......and since ur slope is 2, start at (-1,0) and go up 2 spaces and to the right 1 space, then up 2 and to the right 1........thats ur line and it crosses the y axis at (0,2)


7 0
4 years ago
Read 2 more answers
What is the sum?<br><img src="https://tex.z-dn.net/?f=%20%5Cbinom%7B3%7D%7B5%7D%20%20%2B%20%20%5Cbinom%7B1%7D%7B5%7D%20" id="Tex
tigry1 [53]

Answer:

4/5

Step-by-step explanation:

3 0
3 years ago
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