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MaRussiya [10]
2 years ago
11

Solve the system of inequalities: y + 2x > 3 and y 3.5x − 5 The first inequality, y + 2x > 3, is in slope-intercept form.

The first inequality, y + 2x > 3, has a boundary line. The second inequality, y 3.5x − 5, has a boundary line. Both inequalities have a solution set that is shaded their boundary lines. is a point in the solution set of the system of inequalities.
Mathematics
2 answers:
BabaBlast [244]2 years ago
7 0
The first inequality, y + 2x > 3, is y>-2x+3 in slope-intercept form.
The first inequality, y + 2x > 3, has a dashed boundary line.
The second inequality, y  3.5x − 5, has a solid <span>boundary line.
</span>Both inequalities have a solution set that is shaded above <span>their boundary lines.
</span>1, 5 <span>is a point in the solution set of the system of inequalities. 
</span>
Luden [163]2 years ago
4 0

Answer:

The first inequality, y + 2x > 3, is y>-2x+3 in slope-intercept form.

The first inequality, y + 2x > 3, has a dashed boundary line.

The second inequality, y  3.5x − 5, has a solid boundary line.

Both inequalities have a solution set that is shaded above their boundary lines.

1, 5 is a point in the solution set of the system of inequalities.

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Solve the following logarithmic equations.<br> log2(49x^2) = 4
Mariana [72]

Answer:

x_{1} = \frac{4}{7} \\x_{2} = \frac{-4}{7} \\

Step-by-step explanation:

To solve this equation, one must apply the following logarithmic property:

if

log_{a}(b) = c\\

then

b= a^{c}

Applying it to the problem at hand:

2^{4} = 49x^{2} \\x^{2} = \frac{16}{49} \\x_{1} = \frac{4}{7} \\x_{2} = \frac{-4}{7} \\

The solutions to the problem are 4/7 and -4/7.

*Note that this solution was pretty straight forward because log2(16) = 4 is a known value, otherwise, a change of base to a base ten log would be required.

4 0
2 years ago
A water sample must be taken from water at least 20 feet deep. Find the depth of the water 50 feet from shore.
rewona [7]

Answer:

The answer is 15 ft.

Step-by-step explanation:

I hope this helps

5 0
2 years ago
The bagel shop sells special bagel sandwiches for $7 and plain bagels for $2. Last saturday, they sold 100 items and made $385.
zloy xaker [14]

Answer:

Number of special bagel sandwiches = 37

Step-by-step explanation:

Let x,y denote number of special bagel sandwiches and plain bagels respectively.

The bagel shop sold 100 items.

x+y=100\\y=100-x

Also, The bagel shop made $385.

7x+2y=385

Put y=100-x in 7x+2y=385

7x+2(100-x)=385\\7x+200-2x=385\\5x=385-200\\5x=185\\x=\frac{185}{5}\\x=37

So,

Number of special bagel sandwiches = 37

5 0
2 years ago
Caitlin is designing a railing for a set of stairs. The railing will begin at a height of 36 inches and follow the slant of the
Sindrei [870]

Answer:

y=-\frac{3}{4}x+36

Step-by-step explanation:

Givens

  • The railing will begin at 36 inches height.
  • The slant decreases 9 inches for every 12 horizontal inches.

According to the problem, the slant is

m=-\frac{9}{12}=-\frac{3}{4}

The initial condition of the function is 36, which is a constant. Also, the slant is negative, because the problem states that "decreases".

If we see the problem form the perspective of a linear function, the constant ratio of change would be the slant.

Therefore, the linear function that models this problem is

y=-\frac{3}{4}x+36

So, the answer is the first choice.

3 0
2 years ago
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From the following figure, how can you conclude that lines l and m are parallel?
loris [4]

C. Alternate interior angles theorem

The angles labeled are on the inside of lines l and m and they are also on alternate sides of the unnamed line

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4 0
2 years ago
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