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podryga [215]
3 years ago
6

Which graph shows the solution to the system of linear inequalities?

Mathematics
1 answer:
Dima020 [189]3 years ago
5 0

Answer:

We can not see all the graphs, so i will just do a graph of the system of inequalities, and you can select the option that matches it.

We have the system:

y ≥ 2x + 1

(to represent this, we need to have a solid line y = 2x + 1, and shade all the region above this)

y ≤ 2x - 2

(to represent this, we need to have a solid line y = 2x - 2, and shade all the region below this)

The graph of this system is shown below:

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What is the area, in square feet, of the shape below? Express your answer as a fraction in simplest form.
earnstyle [38]

Answer:

5/8 ft²

Step-by-step explanation:

Area of a triangle = 1/2 * base * height

Base = 5/3 ft

Height = 3/4 ft

Area of a triangle = 1/2 * base * height

= 1/2 * 5/3 ft * 3/4 ft

Multiply numerator separately and denominator separately

= (1 * 5 * 3) / (2 * 3 * 4) ft²

= 15/24 ft²

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Area of a triangle = 5/8 ft²

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3 years ago
Find the value of k given that logk - log (k-2) = log5
victus00 [196]

k = \frac{5}{2}

using the ' laws of logarithms '

log x - log y = log ( \frac{x}{y})

logx = logy ↔ x = y

logk - log(k - 2) = log5

log ( \frac{k}{(k - 2)} =log 5

\frac{k}{(k - 2)} = 5

5(k - 2) = k

5k - 10 = k

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3 0
4 years ago
Read 2 more answers
I need help I’ve been having trouble with this chapter for about a week
Harman [31]

Given:

3x^2+20x+33

Find-:

Factorization of the equation.

Sol:

A simple method of factorization is to multiply in first and last order then break it down into parts to make the middle number then.

\begin{gathered} =3\times33 \\ =99 \end{gathered}

The factor of 99 is:

So take factor :

\begin{gathered} 11\text{ and \lparen3}\times3) \\  \\ 11\text{ and  9} \end{gathered}

Factorization of the equation is:

\begin{gathered} =3x^2+20x+33 \\  \\ =3x^2+11x+9x+33 \end{gathered}

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1 year ago
If the function y = sin(x) is transformed to y = sin(2x), how does the graph change?
Solnce55 [7]

Answer: it’s compressed horizontally

Step-by-step explanation:

6 0
3 years ago
I need help on all these 3 questions plz
DIA [1.3K]

Answer:

  1. Circumference
  2. Area
  3. Circumference

Step-by-step explanation:

Circumference would be if the situation is asking for the amount of something around the edge. For example, the number of tiles to be placed around the swimming pool would be asking for circumference.

Area would be if the situation is asking for the amount of something spread through the entire item. For example, the amount of water total in a swimming pool would be asking for area.

Hope it helps!

3 0
3 years ago
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