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3 years ago

Which ordered pair is a solution to the inequality?

Mathematics

2 answers:

jok3333 [9.3K]3 years ago

7 0

Answer:

(-3, -1/2)

Step-by-step explanation:

Plug in the numbers for x and y. If the left side of the equation is greater than the right side (0), then ordered pair is a solution to the inequality.

zubka84 [21]3 years ago

3 0

Answer:

$\large\boxed{\left(-3,\ -\dfrac{1}{2}\right)}$

Step-by-step explanation:

Convert the inequality to the form y > mx + b:

$-\dfrac{2}{3}x-4y>0$ <em>add 2/3x to both sides</em>

$-4y>\dfrac{2}{3}x$ <em>change the signs</em>

$4y$ <em>divide both sides by 4</em>

$y$

Put the coordinates of the points to the inequality and check:

for (-15, 3):

$3$

for (6, 3):

$3$

for (-3, -1/2):

$-\dfrac{1}{2}$

for (6, -1/4):

$-\dfrac{1}{4}$

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Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!

lara [203]

Answer:

1. Subtract 2 from both sides.

2. Multiply both sides by 2.

3. Take the square root of both sides.

4. Subtract 5 from both sides.

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4 years ago

Read 2 more answers

Luisa is planning a bridal shower for her best friend. At the party, she wants to serve 3 beverages, 3 appetizers, and 3 dessert

Vladimir79 [104]

Answer:

Luisa can pick the food and drinks to serve at the bridal shower in 15,615,600 different ways.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

Also

The order in which the food and drinks are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Beverages:

3 from a set of 15. So

$B = C_{15,3} = \frac{15!}{3!12!} = 455$

Appetizers:

3 from a set of 10. So

$A = C_{10,3} = \frac{10!}{3!7!} = 120$

Desserts:

3 from a set of 13. So

$D = C_{13,3} = \frac{13!}{3!10!} = 286$

How many different ways can Luisa pick the food and drinks to serve at the bridal shower?

By the fundamental counting principle, as beverages, appetizers and desserts are independent:

$T = B*A*D = 455*120*286 = 15,615,600$

Luisa can pick the food and drinks to serve at the bridal shower in 15,615,600 different ways.

4 0

3 years ago

Round 10,031.464 to the nearest hundred.

insens350 [35]

Answer:

10,031.46

Rounded to the nearest 0.01 or

the Hundredths Place.

Step-by-step explanation:

7 0

4 years ago

Frosty has traveled 2/3 of the way down Santa Claus lane.The lane is 336 feet long.How many feet has Frosty traveled?

kiruha [24]

We can multiply 336 by 2/3 to find out.

2/3(336)

To make this easier, we can change 336 to 336/1, which does not change it's value.

Multiply 336 by 2.

336 * 2 = 672

Multiply 1 by 3.

1 * 3 = 3

Our new value is 672/3

Evaluate, divide both sides of the fraction by 3.

672/3 = 224.

3/3 = 1

224/1

224/1 = 224

<h3>Frosty has traveled 224 feet.</h3>

7 0

3 years ago

I need help with finding the area to this Triangle. This is Geometry by the way.

ycow [4]

Answer:

9 sq. units

Step-by-step explanation:

dimensions of rectangle are (7-3),(8-3)

or 4,5

area of rectangle=4×5=20

area of bottom Δ=1/2×4×2=4

area of top Δ=1/2×3×3=9/2

area of right triangle=1/2 ×5×1=5/2

area of Δ HIJ=20-(4+9/2+5/2)

=20-(4+14/2)

=20-(4+7)

=9 sq. units.

or area of triangle =1/2

| 3 5 |

| 7 3 |

|6 8 |

|3 5 |

=1/2[(9-35)+(56-18)+(30-24)]

=1/2[-26+38+6]

=1/2[-26+44]

=1/2(18)

=9 sq. units.

8 0

3 years ago