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3 years ago

Solve the inequality 6h−5(h−1)≤7h−11 and write the solution in interval notation. Use improper fractions if necessary.

Mathematics

1 answer:

Kobotan [32]3 years ago

6 0

Answer:

$h \geq 2\frac{2}[3}$

Step-by-step explanation:

We solve the inequality similarly to how we would solve an equalitu.

$6h - 5(h-1) \leq 7h - 11$

$6h - 5h + 5 \leq 7h - 11$

$h - 7h \leq -11 - 5/$

$-6h \leq -16$

Multiplying everything by -1

$6h \geq 16$

Simplifying by 2

$3h \geq 8$

$h \geq \frac{8}{3}$

8 divided by 3 is 2 with rest two. So as a improper fraction, the answer is:

$h \geq 2\frac{2}[3}$

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If the length of a rectangle is 5a^2 and the width is 7ab^2 what is the area of the rectangle?

DanielleElmas [232]

Answer:

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Step-by-step explanation:

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3 years ago

Find the coordinates of the missing endpoint if P is the midpoint of Line Segment NQ.

dimaraw [331]

Midpoint formula is $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$ .

So starting with this one, we will be solving for the coordinates of the unknown endpoint separately. Starting with the x-coordinate, since we know that the midpoint x-coordinate is 5 and the x-coordinate of N is 2, our equation is set up as such: $\frac{x+2}{2}=5$ From here we can solve for the x-coordinate of Q.

Firstly, multiply both sides by 2: $x+2=10$

Next, subtract both sides by 2 and your x-coordinate is $x=8$

With finding the y-coordinate, it's a similar process as with the x-coordinate except that we are using the y-coordinates of the midpoint and endpoint N.

$\frac{y+0}{2}=2\\ y=4$

Putting it together, the missing endpoint is (8,4).

(The process is pretty much the same with the other problems, so I'll go through them real quickly.)

$\frac{x+5}{2}=6\\ x+5=12\\ x=7$

$\frac{y+4}{2}=3\\ y+4=6\\ y=2$

The missing endpoint is (7,2).

$\frac{x+3}{2}=-1\\ x+3=-2\\ x=-5$

$\frac{y+9}{2}=5\\ y+9=10\\y=1$

The missing endpoint is (-5,1).

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3 years ago

Most staircases in use today have 9−inch treads and 8 1 2 −inch risers. What is the slope of a staircase with these measurements

son4ous [18]

Rise over run
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3 years ago

A pizza parlor offers 10 toppings. How many 3-topping pizzas could they put on their menu? Assume double toppings are not allowe

andreev551 [17]

Using combination and permutation we found out that there are 30240 ways to make varieties of pizza with 3 toppings.

Given 10 toppings

10C3 =10!/3! 7! =120

10P5 =10!/5! =30240 ways

A permutation is a process of placing objects or numbers in order. Combining is the ability to select an object or number from a group of objects or collections such that the order of the objects does not matter.

In mathematics, a combination is the selection of elements from a set with different members, so the order of selection does not matter.

The process or state of binding. Some combination: A combination of ideas. Combined: A chord is a combination of notes. Alliance of Individuals or Parties: Combinations to restrict transactions.

Learn more about combination here: brainly.com/question/11732255

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2 years ago

PLEASE HELP!!!!!!!! a2 - 10ab + 3b^2

Zielflug [23.3K]

Let's simplify step-by-step.

a2−10ab+3b2

There are no like terms.

Answer:

=a2−10ab+3b2

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3 years ago