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Oliga [24]
2 years ago
12

Please help me in questions 15 and 21 with their inequalities and graph

Mathematics
1 answer:
aleksklad [387]2 years ago
8 0

Answer:

x >= 7 OR x < -8

n <= -3 AND n > -6

Step-by-step explanation:

15) 7x - 6 >= 43 OR 10x + 4 < -76

7x >= 43 + 6 OR 10x < -76 - 4

7x >= 49 OR 10x < -80

x >= 7 OR x < -8

you can draw based on this

for >= it is full dot for < it is like circle on the graph

you have to draw both x>= 7 , x < -8 on the same line because it is OR

so both ranges of x are possible

21) 3 + 2n <= -3 AND 1 - 3n < 19

2n <= -3 -3 AND -3n < 19 - 1

2n <= -6 AND -3n < 18

n <= -3 AND 3n > -18

n <= -3 AND n > -6

so it lies between -6 and -3

u can refer pictures below

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Math problem help me
Ratling [72]

Answer:

y=3x+2

Step-by-step explanation:

To find the equation, use the slope-intercept formula:

y=mx+b

m is the slope and b is the y-intercept. Now, it'll really help to draw a line through the points, connecting them. If you look at point (0,2), we can see that this is the y-intercept (where a point sits on the y-axis when x=0). You can insert this into the equation by taking the y value:

(0,2)\\y=mx+2

Now, take any two points to find the slope. To make it easier, I'll use (1,5) and (0,2). Use the slope formula for when you know two points:

\frac{y(2)-y(1)}{x(2)-(x1)} =\frac{rise}{run}

Rise over run is the change in the y-axis over the change in the x-axis. Insert values:

(1(x1),5(y1))\\(0(x2),2(y2))\\\\\frac{2-5}{0-1}

Solve:

\frac{2-5}{0-1}=\frac{-3}{-1}

Since both are negative, the result is a positive:

\frac{-3}{-1}=\frac{3}{1} =3

Insert this into the equation as m, the slope:

y=3x+2

Done.

6 0
2 years ago
Double a number is equal to the number decreased by five. Find the number. A) -10 B) -5 C) 5 D) 10
sweet-ann [11.9K]
The answers be because it says DECREASED by 5 so it would be -5
4 0
3 years ago
Read 2 more answers
True or False?<br><br> (9x - 8) - (x + 4) = 8x +12
NNADVOKAT [17]

Step-by-step explanation:

(9x-8)-(x+4)=8x+12

9x-8-x-4=8x+12

8x-12=8x+12 (no it's not)

So it's false.

Hey guys! I need help with this question urgently, so could you please help me out? Thanks in advance! Merry Christmas!

Question: brainly.com/question/19989741

3 0
3 years ago
The tortoise and the hare are in a road race to defend the honor of their breed. the tortoise crawls the entire 1000. m distance
jolli1 [7]
<span>The tortoise crawls the whole 1000 m at 0.2 m/s, therefore, you must divide the distance by the rate of travel to find the time it took to complete the race. This gives us a time of 5,000 seconds to crawl the thousand meters. The hare runs the first 200 meters at 2 m/s, meaning that takes 100 seconds. The last 800 meters divided by the speed of 3 m/s gives us a time of 266 seconds. These two numbers must be added to the hare's rest time, converted from 1.3 hours into seconds by multiplying that number by 60 (for minutes in an hour) then 60 again (for seconds in a minute). 1.3 hours is equal to 4680 seconds. Therefore, the whole race took the hare 5,046 seconds, making it slightly slower than the hare, who finished in 5,000 seconds flat.</span>
5 0
3 years ago
Given the functions: f(x) = x^2-9 and g(x) = 3 what is (f/g)(x)? A. x-3 B. x-9 C. x+3 D. x+9
uysha [10]

Answer:

f + g)(x) = f (x) + g(x)

= [3x + 2] + [4 – 5x]

= 3x + 2 + 4 – 5x

= 3x – 5x + 2 + 4

= –2x + 6

(f – g)(x) = f (x) – g(x)

= [3x + 2] – [4 – 5x]

= 3x + 2 – 4 + 5x

= 3x + 5x + 2 – 4

= 8x – 2

(f × g)(x) = [f (x)][g(x)]

= (3x + 2)(4 – 5x)

= 12x + 8 – 15x2 – 10x

= –15x2 + 2x + 8

\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(

g

f

)(x)=

g(x)

f(x)

= \small{\dfrac{3x+2}{4-5x}}=

4−5x

3x+2

My answer is the neat listing of each of my results, clearly labelled as to which is which.

( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

( f × g ) (x) = –15x2 + 2x + 8

\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}

3 0
3 years ago
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