All categories

3 years ago

Which graph represents 2x-5y< 15

Mathematics

1 answer:

scoray [572]3 years ago

7 0

Answer:

Step-by-step explanation:

Rewrite 2x-5y< 15 as follows: Add 5y to both sides. Then 2x < 15 + 5y.

Next, subtract 15 from both sides: 2x - 15 < 5y.

Finally, divide all terms by 5: (2/5)x - 3 < y

Now find the y-intercept of this line. Let x = 0. Then y = -3. Plot (0, -3) on graph paper. Now, starting at (0, -3), move your pencil point 5 spaces to the right and 2 spaces up. Plot this new point, (5, -1). Now draw a dashed line through both (0, -3) and (5, -1). Shade the area ABOVE this dashed line.

You might be interested in

The hypotenuse of a 30o-60o-90o triangle measures 4 square 3 inches. What is the length of the shorter leg?

Fofino [41]

Answer:

The shorter leg is $2\sqrt{3}$ inches

Explanation:

The 30°-60°-90° is a special type of right-angled triangles

It has the following special side length:

The length of the side opposite to the 30° is $\frac{1}{2}$ the length of the hypotenuse

The length of the side opposite to the 60° is $\frac{\sqrt{3} }{2}$ of the hypotenuse

Now, we know that the lengths of the sides in a triangle are proportional to the angles

This means that the shortest side will be the one opposite to the smallest angles

In our case, the shortest side will be the one opposite to the 30° angle

We are given that the hypotenuse of the triangle is $4\sqrt{3}$ in

From the above:

Shorter leg = leg opposite to 30° = $\frac{1}{2} * hypotenuse = \frac{1}{2} * 4\sqrt{3} = 2\sqrt{2}$ inches

Hope this helps :)

5 0

3 years ago

I need to know if it’s A B C OR D

Liula [17]

SOLUTION

Consider the property, opposite angle of a cyclic quadrilateral are supplementary

hence

$\angle NMP+\angle NOP=180^0$

Recall that

$\begin{gathered} \angle NMP=\angle M=(8x-24)^0 \\ \text{and } \\ \angle NOP=\angle O=(4x)^0 \end{gathered}$

Hnece, we have that

$\begin{gathered} \angle M+\angle O=180^0(opposite\text{ angles of a cyclic quadrilateral)} \\ (8x-24)^0+4x^0=180^0 \end{gathered}$

Then

$\begin{gathered} 8x-24+4x=180 \\ 8x+4x-24=180 \\ 12x-24=180 \\ \text{Add 24 t o both sides } \\ 12x-24+24=180+24 \\ 12x=204 \\ \text{divide both sides by 12} \\ \frac{12x}{12}=\frac{204}{12} \\ \text{Then} \\ x=17 \end{gathered}$

Hence

x=17

Since

$\begin{gathered} \angle NOP=(4x)^0 \\ \text{substitute the value of x, we have } \\ \angle NOP=4\times17=68^0 \\ \text{Hence } \\ \angle NOP=68^0 \end{gathered}$

Therefore

The measure of angle NOP is 68⁰

Answer; 68⁰ (The fourth Option )

5 0

1 year ago

6 lbs of potatoes cost $72. How many lbs of potatoes can you get with $516?

Rasek [7]

Answer:

Step-by-step explanation:

516 divided by 72 = 7.1. You cant use .1 pound . Then you do 6*7 = 42 pounds of potatoes

8 0

3 years ago

What is the answer 3x+5−7x+9

ICE Princess25 [194]

Step-by-step explanation:

3×+5-7×+9

3×3=9+5=14

7×7=49+9=58

58-14=44

4 0

2 years ago

Read 2 more answers

Which function is the inverse of f(x) = -5x - 4

Rzqust [24]

Answer:

f-¹(x) = -⅕x - ⅘

Step-by-step explanation:

f(x) = -5x - 4 → x = -5y - 4 → 5y = - x - 4 → y = -⅕x - ⅘ → f-¹(x) = -⅕x - ⅘

5 0

2 years ago