All categories

1 year ago

Which linear inequality is represented by the graph?

Mathematics

1 answer:

andrey2020 [161]1 year ago

7 0

The linear inequality that is represented by the graph is; y ≤ One-halfx + 2

<h3>How to Interpret Inequality Graphs?</h3>

The general form of equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Now, from the inequality graph attached, we can see that we can calculate the slope from;

m = (y2 - y1)/(x2 - x1)

m = (3 - 2)/(2 - 0)

m = 1/2

We can also see that the y-intercept which is the point where the line crosses the y-axis is; y = 2.

The line is a solid line and not dotted and the shaded part is beneath the line and as such;

The inequality is; y ≤ One-halfx + 2

Read more about Inequality Graphs at; brainly.com/question/11234618

#SPJ1

You might be interested in

3q+4+9=-14 <br> what is Q

BlackZzzverrR [31]

Hi! Your answer is q = -9

Please see an explanation for a better and clear understanding to your problem.

Any questions about my answer and explanation can be asked through comments! :)

Step-by-step explanation:

Since we want to solve for q-term. That means we are going to isolate q-term.

$\huge{3q+4+9=-14}$

We can add 4 and 9 together.

$\huge{3q+13=-14}$

Because we want to know the value of q. That means we have to isolate q-term by subtracting both sides by 13.

$\huge{3q+13-13=-14-13}\\\huge{3q=-27}$

We are reaching to the final step where we divide the whole equation by 3.

$\huge{\frac{3q}{3}=-\frac{27}{3}}\\\huge{q=-9}$

Finally, the solution for this equation is q = -9. But what if you are not certain or sure about the answer? Let's check it out!

To check the answer, simply substitute q = -9 in the equation.

$\huge{3q+4+9=-14}\\\huge{3(-9)+13=-14}\\\huge{-27+13=-14}\\\huge{-14=-14}$

Notice that the equation is true for q = -9. Hence, we can conclude that the solution for this equation is q = -9.

Hope this helps!

5 0

3 years ago

“order of operation” anyonee pls help?

NikAS [45]

The answer is 69632 because of PEDMAS

8 0

2 years ago

Read 2 more answers

To win a trivia game, Nathan must score at least 105 points. Each correct answer is worth \large 3\frac{1}{3} points, and each i

myrzilka [38]

Answer:

Nathan earned 100 points. he lost the trivia game by 5 points.

Step-by-step explanation

3 $\frac{1}{3}$ * 33 = 110 points earned

$\frac{1}{2}$ * 20 = 10 points lost

110-10 = 100

Nathan earned 100 points. he lost the trivia game by 5 points.

3 0

3 years ago

11 people enter a pie eating contest. how many ways can the prize be awarded to the top 3

True [87]

This is a permutation question because we care about the order.
We can demonstrate this by letting each person be a person in the pie eating contest.

A B C D E F G H I J K

_ _ _

Now, there are 11 ways for the first prize to be won, since there are no restrictions upheld. Let's say A wins the first prize.

B C D E F G H I J K

A _ _

Now, assuming prizes aren't shared, there are only ten people left to win the second prize.
Using this logic, then we can say that nine can win the third prize.

Thus, our answer is 11 · 10 · 9 = 990 ways.

However, this method works for this question.
What happens when the number of places we want gets significantly larger?
That's when we introduce the permutation formula.

We know that 11·10·9·8·7·6·5·4·3·2·1 = 11!, but we don't want 8! of them.
This is the formula for permutation.

$^{11}P_3 = \frac{11!}{(11 - 3)!} = 990$

8 0

3 years ago

1. Evaluate the expression if y = 5 and z = 0

natta225 [31]

Answer:

1. 0

2. -1

3. $120

4. $653.25

5. 4ab + 7a - 2b

Step-by-step explanation:

1. y = 5, z = 0

2z/y = ?

You'll need to substitute the values of y and z in the expression

2z/y

Becomes

2 * 0 / 5

= 0

So, 2z/y equals 0

......................................................................................................................

2. x = 0, y = -1 z = 7

xz - y²

Substituting the values of x, y and z in the above algebraic expression

xz - y²

Becomes

0*7 - (-1²)

0 - 1

-1

So, xz - y² equals -1

......................................................................................................................

3. The question falls under SIMPLE INTEREST

The formula is

I = (PRT)/100

Where I represents Interest

P = Principal (Amount Invested)

R = Rate of Interest

T = Time (in years)

From the question,

The interest is unknown ----------------- (To be calculated)

P equals $600

R = 2%

T = 10 years

Substitute these values in the formula above

I = (PRT)/100

Becomes

I = (600 * 2 * 10) / 100

I = 12000/100

I = 120

Result: The interest is $120

......................................................................................................................

The formula is

I = (PRT)/100

Where I represents Interest

P = Principal (Amount Invested)

R = Rate of Interest

T = Time (in years)

From the question,

The interest is unknown ----------------- (To be calculated)

P equals $13000

R = 6.7%

T = 9 months

Remember that time has to be in years

So, 9 months must be converted to year(s)

If 12 months makes a years

Then 9 months would be 9/12 years

So, T = 9/12 years

T = 0.75 years

Substitute these values in the formula above

I = (PRT)/100

I = (13000 * 6.7 * 0.75) / 100

I = 65325/100

I = 653.25

Result: The interest is $653.25

5. Simplify 4ab - 3bc + 7a - 2b + 3bc

4ab - 3bc + 7a - 2b + 3bc---------------------- Collect like terms

4ab + 7a - 2b + 3bc - 3bc

4ab + 7a - 2b

6 0

3 years ago