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2 years ago

Please answer thank you

Mathematics

2 answers:

Kazeer [188]2 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]2 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.

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Type the slope-intercept equation

natulia [17]

Answer:

y= -2x +1

Step-by-step explanation:

slope- intercept form:

y= mx +c, where m us the gradient and c is the y-intercept.

Let's find the value of m first using the gradient formula.

Gradient= $\frac{y1 - y2}{x1 - x2}$

$m = \frac{ - 3 - 3}{2 - ( - 1)} \\ m = \frac{ - 6}{2 + 1} \\ m = \frac{ - 6}{3} \\ m = - 2$

y= -2x +c

To find the value of c, substitute a pair of coordinates.

When x= -1, y=3,

3= -2(-1) +c

3= 2 +c

c= 3 -2

c= 1

Thus the equation of the line is y= -2x +1.

4 0

2 years ago

Put these numbers in order from greatest to least. 1 6/8,-10/25,-18/25,1

goldenfox [79]

$\textsf{Hey there!}$

$\textsf{Put these numbers in order from GREATEST to LEAST}$

$\bullet{\mathsf{ \ 1\dfrac{6}{8}}}$

$\bullet\mathsf{\ -\dfrac{10}{25}}$

$\bullet{\mathsf{\ -\dfrac{18}{25}}}$

$\bullet{\textsf{ 1}}$

$\star\textsf{ We know that fractions, decimals, negatives are BELOW 0 (on the left}$ $\textsf{of 0)}$

$\star\textsf{ \& we also know that positives and real numbers is/are ABOVE 0 (to the right}$ $\textsf{of 0)}$

$\textsf{Now we can answer your question}$

$\blacksquare \ \mathsf{1\dfrac{6}{8} = \dfrac{14}{8} = 1.75}$

$\blacksquare\ \mathsf{-\dfrac{10}{25} = -0.40}$

$\blacksquare\ \mathsf{- \dfrac{18}{25} = -0.72}$

$\blacksquare \ \mathsf{1 = 1}$

$\textsf{Look carefully at the stuff converted to the decimal or regular number \& }$ $\textsf{you will have your answer from \underline{greatest} to \underline{least}}$

$\boxed{\textsf{If you solved correctly you SHOULD have: \boxed{\mathsf{\dfrac{14}{8}, \ 1, \ - \dfrac{10}{25}\ ,\ -\dfrac{18}{25}}}}}\checkmark$

$\textsf{Good luck on your assignment and enjoy your day!}$

~ $\frak{LoveYourselfFirst:)}$

5 0

3 years ago

Calculate had a net income of 5 million dollars in 2010, while a small competing company, Computate, had a

Julli [10]

9514 1404 393

Answer:

a) see the attached spreadsheet (table)

b) Calculate, for a 10-year horizon; Computate for a longer horizon.

c) Year 13; no

Step-by-step explanation:

a) The attached table shows net income projections for the two companies. Calculate's increases by 0.5 million each year; Computate's increases by 15% each year. The result is rounded to the nearest dollar.

b) After year 4, Computate's net income is increasing by more than 0.5 million per year, so its growth is faster and getting faster yet. However, in the first 10 years, Calculate's net income remains higher than that of Computate. If we presume that some percentage of net income is returned to investors, then Calculate may provide a better return on investment.

The scenario given here is only interested in the first 10 years. However, beyond that time frame (see part C), we find that Computate's income growth far exceeds that of Calculate.

c) Extending the table through year 13, we see that Computate's net income exceeds Calculate's in that year. It continues to remain higher as long as the model remains valid.

6 0

3 years ago

The midpoint of a line segment is the point halfway between its endpoints. True or False?

horrorfan [7]

This is true. You can remember by it saying mid, as in middle.

5 0

3 years ago

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Find the volume of the following

ki77a [65]

Finding the volume of this will mean that we'll have to know the formula. The formula for finding the volume of a prism is L x W x H.
L- Lenght
W - Width
H - Height.

So Volume is going to be equalled to 6 x 5 x 4 = 120 cm cubed

6 0

3 years ago

Read 2 more answers