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Natalija [7]
2 years ago
11

Draw the region that satisfies all three of the inequalities; x < 3, y > 2, y < 2x+3​

Mathematics
1 answer:
FrozenT [24]2 years ago
3 0

Check the picture below.

the line you drew for y = 2x +3 is correct, now recall that the line for x = 3 is just a vertical line, in red, and that y = 2 is just a horizontal line, in green.

now all lines are solid because all are using ⩽ or ⩾, meaning the borderline is included, and you can do a "true" "false" region check if you wish, but less than 3 is to the left of the red one, greater than 2 is above the green one and less than 2x + 3 is just to its left.

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The equation y= 1/2 x +4 is graphed below.which equation would intersect this line at (4, 6)?
Anton [14]

Answer:

we have the equation y = (1/2)*x + 4.

now, any equation that passes through the point (4, 6) will intersect this line, so if we have an equation f(x), we must see if:

f(4) = 6.

if f(4) = 6, then f(x) intersects the equation y = (1/2)*x + 4 in the point (4, 6).

If we want to construct f(x), an easy example can be:

f(x) = y = k*x.

such that:

6 = k*4

k = 6/4 = 3/2.

then the function

f(x) = y= (3/2)*x intersects the equation  y = (1/2)*x + 4 in the point (4, 6)

5 0
3 years ago
Find the slope of line. y= -3x-1
Paladinen [302]

Answer:

<em>*****Slope: M = -3*****</em>



6 0
3 years ago
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I need help ,,, and tahnks☺
Mashcka [7]
Pythagora: 20^2=(4x)^2+(3x^2)
400=16x^2+9x^2
x^2=400/25
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6 0
3 years ago
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The slope of line m is 7/8. If n⊥m, what is the slope of line n?
Citrus2011 [14]
Hello!

Slopes of perpendicular lines are opposite reciprocals of each other, which the slope of line perpendicular to a line with a slope of 7/8 is -8/7.

Answer:
D. -8/7

Hope this helps!
8 0
3 years ago
If 12,025 was invested at 3.25% compounded monthly 3 years, how much interest will be earned
wariber [46]

Answer:

$1,229.75

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First, change 3.25% into a decimal:

3.25% -> \frac{3.25}{100} -> 0.0325

Since the interest is compounded monthly, we will use 12 for n. Lets plug in the values now:

A=12,025(1+\frac{0.0325}{12})^{12(3)}

A=13,254.75

Lastly, subtract A from P to get the interest earned:

13,254.75 - 12,025 = 1,229.75

6 0
3 years ago
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