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4 years ago

Which linear inequality is represented by the graph?

Mathematics

1 answer:

Serga [27]4 years ago

7 0

Answer:

A. y ≤ 1/2x + 2

Step-by-step explanation:

Well look at the graph,

It is a solid line with it shaded down,

meaning it is y ≤,

So we can cross out B. and D.

So the y intercept is 2, we know this because the y intercept is the point on the line that touches the y axis.

now the slope can be found by seeing how far away each points are from each other,

Hence, the answer is A. y ≤ 1/2x + 2

You might be interested in

Evaluate the left hand side to find the value of aa in the equation in simplest form. 6

grandymaker [24]

Solution

Given the expression below

$\frac{x^{\frac{5}{3}}}{x}=x^a$

To find the value of a, we apply the exponent rule, which is

$\frac{x^m}{x^n}=x^{m-n}$

Applyin it to the expression gives

$\begin{gathered} \frac{x^{\frac{5}{3}}}{x}=x^a \\ x^{\frac{5}{3}-1}=x^a \\ x^{\frac{5-3}{3}}=x^a \\ x^{\frac{2}{3}}=x^a \end{gathered}$

Simplifying to find a

$\begin{gathered} x^{\frac{2}{3}}=x^a \\ \frac{2}{3}=a \\ a=\frac{2}{3} \end{gathered}$

Hence, the value of a is 2/3

4 0

1 year ago

Mark uses 19 gallons of gas while traveling 399

Ket [755]

Answer:

189

Step-by-step explanation:

If mark uses 19 gallons to travel 399 miles, that means he was able to travel 21 miles per gallon.

We get this by taking 399 divided by 19.

So if mark travels on 9 gallons of gas and goes 21 miles per gallon, he will have traveled 189 miles.

We get this by taking 21 times 9

4 0

3 years ago

Solve each system by substitution. y=3x+4 y=4x+7

Y_Kistochka [10]

We need to solve the following system by substituition:

$\begin{cases}y=3x+4 \\ y=4x+7\end{cases}$

To solve by substituition means that we need to isolate one variable in one of the equations and replace one expression with the other. This is done below:

$\begin{gathered} (3x+4)=4x+7 \\ 3x+4=4x+7 \\ 3x-4x=7-4 \\ -x=3 \\ x=-3 \end{gathered}$

Then we need to replace the value of "x" in any of the two equations.

$\begin{gathered} y=3\cdot(-3)+4 \\ y=-9+4 \\ y=-5 \end{gathered}$

The solution is (-3,-5).

4 0

1 year ago

Find m PLEASE HELP 10 POINTS!!

artcher [175]

Use the cos rule

cos^-1(18^2+28^2-12^2 divided by 2*18*28

Which is 16.99 degrees, which is 17 (option d)

8 0

3 years ago

Read 2 more answers

Solve -3x=2x^2-4 using quadratic formula

frozen [14]

Answer:

$x=-2.35078, 0.850781$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Standard Form: ax² + bx + c = 0
Quadratic Formula: $x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

Step-by-step explanation:

Step 1: Define equation

-3x = 2x² - 4

Step 2: Rewrite into Standard Form

0 = 2x² + 3x - 4

Step 3: Define variables

a = 2

b = 3

c = -4

Step 4: Find x

Substitute: $x=\frac{-3\pm\sqrt{3^2-4(2)(-4)} }{2(2)}$
Evaluate: $x=\frac{-3\pm\sqrt{9-4(2)(-4)} }{2(2)}$
Multiply: $x=\frac{-3\pm\sqrt{9+32} }{4}$
Add: $x=\frac{-3\pm\sqrt{41} }{4}$
Evaluate: $x=\frac{-3\pm6.40312}{4}$
Evaluate: $x=-2.35078, 0.850781$

And we have our final answer!

6 0

3 years ago