All categories

3 years ago

Please answer thank you

Mathematics

2 answers:

Kazeer [188]3 years ago

4 0

Answer:

Yes, it is the solution

Step-by-step explanation:

You are given the system of two inequalities

$\left\{\begin{array}{l}y\le -3x+4\\ \\y>x^2+3x-2\end{array}\right.$

To check whether point (0,4) is the solution to this system, substitute x=0 and y=4 into each inequality:

$4\le -3\cdot 0+4\\ \\4\le 4 \ [\text{true}]$

$4>0^2+3\cdot 0-2\\ \\4>0+0-2\\ \\4>-2\ [\text{true}]$

Since the coordinates of the point (0,4) satisfy both inequalities, the point (0,4) is the solution to the system

Nimfa-mama [501]3 years ago

3 0

Answer:

Yes, (0,4) is a solution

Step-by-step explanation:

We have to plug in 0 in x and 4 in y IN BOTH THE INEQUALITIES.

IF BOTH ARE TRUE, then the system of inequalities is TRUE.

Let's check:

y ≤ -3x+4

4 ≤ -3(0)+4

4 ≤ 4

Is 4 less than OR equal to 4? Yes. THis is satisfied.

Now, checking 2nd one:

y > x^2 + 3x - 2

4 > (0)^2 + 3(0) - 2

4 > -2

Is 4 greater than -2? Yes, it is. So this is satisfied as well.

Hence, (0,4) is a solution to the system of inequalities shown.

You might be interested in

The price of milk increased from $1.89 a gallon to $2.09 a gallon. What was the percent of increase

Readme [11.4K]

Growth or Increase = (last value - initial value)/(initial value):

Growth/Increase = (2.09 - 1.89)/(1.89) = 0.1058 or 10.58 %

3 0

3 years ago

What is the graph of the solution to the following compound inequality? 3-X22 or 4x + 2 > 10

skad [1K]

Answer:

4-3

Step-by-step explanation:

7 0

3 years ago

A chemical spill is leaking into a river flowing 2 3/4 miles per hour. How long will it take the chemicals to reach a town locat

ExtremeBDS [4]

Answer:

$6\frac{3}{11}=6.27$ hours.

Step-by-step explanation:

We have been given that a chemical spill is leaking into a river flowing 2 3/4 miles per hour.

To find the time taken by chemical to reach the town we will divide distance of town from the spill by distance covered by chemical spill in one hour.

$\text{Time taken by chemical to reach the town}=17\frac{1}{4} \div 2\frac{3}{4}$

Upon converting our mixed fractions into improper fractions we will get,

$\text{Time taken by chemical to reach the town}=\frac{69}{4} \div \frac{11}{4}$

Dividing a fraction with another fraction is same as multiplying first fraction by the reciprocal of second fraction.

$\text{Time taken by chemical to reach the town}=\frac{69}{4}\times \frac{4}{11}$

After cancelling out 4 we will get,

$\text{Time taken by chemical to reach the town}=\frac{69}{11}$

$\text{Time taken by chemical to reach the town}=6\frac{3}{11}$

$\text{Time taken by chemical to reach the town}=6.272727\approx 6.27$

Therefore, it will take the chemicals $6\frac{3}{11}=6.27$ hours to reach the town.

5 0

4 years ago

Pls pls pls pls help

Julli [10]

Answer:

the answer is option A

Step-by-step explanation:

6 0

3 years ago

Please help me with this I’m confused please explain

Maksim231197 [3]

Answer:

25. If you look at angle B from the first figure you see a square that indicates a 90 degrees angle, thus the figure shown is a right triangle. You can also see that angle C is said to have 60 degrees. a right triangle has a total angle of 180 degrees. so, 180 - 90 - 60 = 30 degrees. Therefore, angle A is 30 degrees.

27. Now you want the measure of the hypotenuse, and you know this a right triangle. so, simply use the law of sines to find the measure of AC :

4cm/sin(60) = AC/Sin90

AC = 4.62 cm

29. angle z is in the other figure and same stuff, just substract the angles, you have 90 degrees and 30 degrees... 180 - 90 - 30 = 60 degrees

31. Angle Y = 90 degrees

this value is already given, it's the little square that indicates a 90 degrees angle.

26. 5 cm

28. 90 degrees

30. You already found AC, use the pythagorean theorem. sqrt((4.62)^2 - 4^2) = 2.31 cm

32. use pythagoras again, square root(5^2 - 3^2) = 4

So as you can see all the measurements are the same because if you see at the very top of your figures it says ABC = XYZ which means pretty much that they have the same values (notice that there is a little something added to the = sign, watch out for that because that's what indicates that two figures are equal in terms of angles and measures.

7 0

3 years ago