All categories

2 years ago

This is a graph of y<2x+5 what is true about point A on the graph

Mathematics

1 answer:

Ilya [14]2 years ago

3 0

Answer: "Point A is a solution because it is in the shaded area

Step-by-step explanation:

When we have an inequality like the one shown in the graph, the shaded area represents the possible solutions to the inequality.

If we have a dashed line, then the points in the line are not solutions (this is the case of the symbols > and < )

If the line is solid, then the points of the line are solutions (this is the case of the symbols ≤ and ≥)

In the graph we can see that point A is inside the shaded area, then point A is a solution.

Then the correct option is:

"Point A is a solution because it is in the shaded area"

You might be interested in

How to show these 2 problems are inverses

nataly862011 [7]

$\bf \begin{cases}
f(x)=\sqrt[3]{7x-2}\\\\
g(x)=\cfrac{x^3+2}{7}
\end{cases}\\\\
-----------------------------\\\\
now
\\\\
f[\ g(x)\ ]\implies f\left[ \frac{x^3+2}{7} \right]\implies \sqrt[3]{7\left[ \frac{x^3+2}{7} \right]-2}\implies \sqrt[3]{x^3+2-2}
\\\\\\
\sqrt[3]{x^3}\implies x\\\\
-----------------------------\\\\
or
\\\\
g[\ f(x)\ ]\implies g\left[\sqrt[3]{7x-2}\right]\implies \cfrac{\left[\sqrt[3]{7x-2}\right]^3+2}{7}
\\\\\\
\cfrac{7x-2+2}{7}\implies \cfrac{7x}{7}\implies x$

thus f[ g(x) ] = x indeed, or g[ f(x) ] =x, thus they're indeed inverse of each other

8 0

2 years ago

Un sastre vende dos camisas a S/. 60 cada una. En la primera camisa gana 25% de lo que costo hacerla y en la otra pierde 25% de

weeeeeb [17]

Me no speak espanol i thivcyieuqo

Step-by-step explanation:

5 0

3 years ago

Sum of two numbers is 84. If one of the numbers exceeds the other by 12, the numbers are

djverab [1.8K]

Answer:

54 and 30

Step-by-step explanation:

84÷2=42-12=30

42+12=54

5 0

3 years ago

Prove that (81/16)^-3/4 ×[(25/9)^-3/2 ÷ (5/2)^-3]=1

andreev551 [17]

Answer:

First write them in positive exponent form

(16/81)¾ × [ (9/25)^3/2 ÷ (2/5)³ ]

(2⁴×¾)/ (3⁴×¾) × [ (3² × ^3/2) / (5² ×^3/2) ÷ 2³/5³)

Simplify the terms

2³/3³ × ( 3³ / 5³ ÷ 2³/5³)

Solve the terms in the bracket

2³/3³ × (3³/5³×5³/2³)

You will get

2³/3³ × 3³/2³ = 1

They will cancel each other so the answer will be 1

Hope this helps.

8 0

3 years ago

A cell phone costs $170 and has a tax rate of 7%. Write and Solve a proportion to find how much tax is paid on the cell phone.

Darina [25.2K]

Answer:

The Amount of tax paid on the cell phone is $11.9

Step-by-step explanation:

Given as :

The cost of the cell phone = x = $170

The tax rate of the cell phone = r = 7% of the phone cost

Let The Amount of tax paid on the cell phone = $y

<u>Now, According to question</u>

The Amount of tax paid on the cell phone = 7 % of cost of the cell phone

i.e y = 7% of x

Or, y = $\dfrac{7}{100}$ × x

Or, y = $\dfrac{7}{100}$ × $170

Or, y = $\frac{7\times 170}{100}$

∴ y = 7 × 1.7

i.e y = $11.9

So,The Amount of tax paid on the cell phone = y = $11.9

Hence, The Amount of tax paid on the cell phone is $11.9 Answer

4 0

2 years ago