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RoseWind [281]
3 years ago
5

Select the correct inequality for the graph given

Mathematics
1 answer:
Kaylis [27]3 years ago
4 0

Answer:

y<= 3x-1

Step-by-step explanation:

When it comes about inequalities, keep in mind the following

the < sign means that the regions is under whatever is to other side, and the > means that the region is above whatever is on the other side of the sign

So, we see for the graphic that there is a region below a line, this suggests us that there is a < sign implied

The other thing is that there is a convention in math, is the line is graphed using a dashed line, it meas that it is not part of the region, if the line is graphed using a solid line (a continued line) then the line is inside the region, hence there is a = sign implied.

So the answer is y<= 3x-1

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15% of x is 27, x= what?<br>please helppp meeee
natta225 [31]

Answer:

\huge \boxed{x=180}

Step-by-step explanation:

15% of x = 27

\sf 15\% \cdot x =27 \\\\\\ 0.15x=27 \\\\\\ Divide \ both \ sides \ by \ 0.15. \\\\\\ \frac{0.15x}{0.15}  = \frac{27}{0.15} \\\\\\ x = 180

15% of 180 is 27.

8 0
3 years ago
Read 2 more answers
Given the function f(x) = 2(3)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
jeyben [28]

f(0) = 2(3)(0) = 0  ⇒  (0, 0)

f(1) = 2(3)(1) = 6  ⇒  (1, 6)

<u>rate of change from x = 0 to x = 1</u>

\frac{y2 - y1}{x2 - x1} = \frac{6 - 0}{1 - 0} = \frac{6}{1} = 6

******************************************

f(2) = 2(3)(2) = 12  ⇒  (2, 12)

f(3) = 2(3)(3) = 18  ⇒  (3, 18)

<u>rate of change from x = 2 to x = 3</u>

\frac{y2 - y1}{x2 - x1} = \frac{18 - 12}{3 - 2} = \frac{6}{1} = 6

*****************************************

Since it is the same line, they will have the same slope (aka rate of change).

5 0
3 years ago
Jake is using a horse trailer to take his horses to his new ranch. 1 Horse= 1,200 lb Trailer= 2,700 lb Jake's truck can tow a ma
Kitty [74]

Answer:

Jack can take only 1 horse on his trailer to be towed by the truck without going over the maximum weight the truck.

Step-by-step explanation:

Given:

Weight of 1 horse = 1,200 lb

Weight of trailer = 2,700 lb

Jacks'truck can tow a maximum of 5000 pounds.

To find the maximum number of horses Jack can take in his trailer without going over the maximum weight his truck can tow.

Solution:

Let the maximum number of horses that Jack can take be = x

Using unitary method to find weight of x horses.

If 1 horse weights = 1,200 lb

Then x horses will weight in lbs = 1,200\times x = 1,200x

Total weight of horses and trailer in lbs = 1200x+2700

Since the maximum weight the truck can tow = 5,000 lb, so the inequality can be given as:

1200x+2700\leq5000

Subtracting both sides by 2700.

1200x+2700-2700\leq5000-2700

1200x\leq2300

Dividing both sides by 1200.

\frac{1200x}{1200}\leq\frac{2300}{1200}

x\leq1.91

From the inequality solution for x, we can conclude that Jack can take only 1 horse on his trailer to be towed by the truck without going over the maximum weight the truck.

3 0
3 years ago
Recent studies indicate that the average surface temperature of the
andreev551 [17]

Answer:

Slope : The rate of increase of temperature on the earth's surface is 0.02°C per year since 1900.

T-intercept : 8.5 represents the temperature in °C of the earth's surface in the year 1900.

Step-by-step explanation:

The average surface temperature of Earth rising steadily. Scientists have modeled the temperature by the equation, T = 0.02t + 8.50 where t represents years since 1900 and T is the temperature in ◦C.

Now, the slope of the model equation is 0.02 which means the rate of increase of temperature on the earth's surface is 0.02°C per year since 1900.

Again, the T-intercept i.e. 8.5 represents the temperature in °C of the earth's surface in the year 1900. (Answer)

7 0
3 years ago
A polynomial is to be constructed that will touch the x axis at most 7 times. What is the minimum degree of the polynomial?
tia_tia [17]
7 times, means 7 x intercepts, means 7th degree

answer is 7th degree
7 0
3 years ago
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