All categories

2 years ago

True or false inequalities have many solutions and equations have one solution

Mathematics

2 answers:

shepuryov [24]2 years ago

8 0

Answer:

Yes this is true..............................................................................................................................

umka2103 [35]2 years ago

5 0

Answer:

Step-by-step explanation:

Like systems of equations, system of inequalities can have zero, one, or infinite solutions.

You might be interested in

The width of a box in the shape of a rectangular prism is 4 inches more than the height h . The length is the difference of 9 in

Doss [256]

Answer:

$(a)$ $V = -H^3+ 5H^2 + 36H$

$(b)$ $Length = 5in; Width = 9in; Height = 5in$ or $Length = 3in; Width = 10in; Height = 6in$

Step-by-step explanation:

Let:

$W=Width; L = Length; H = Height$

Given

$W = 4 + H$

$L = 9 - H$

Solving (a): The polynomial for the volume in terms of height

Volume (V) is calculated using:

$V = L * W * H$

$V = (9 - H) * (4 + H) * H$

Expand

$V = (9 - H) * (4H + H^2)$

Open brackets

$V = 36H + 9H^2 - 4H^2 - H^3$

$V = 36H + 5H^2 - H^3$

Rewrite as:

$V = -H^3+ 5H^2 + 36H$

Solving (b): The dimensions when Volume = 180

Substitute 180 for V in: $V = -H^3+ 5H^2 + 36H$

$180 = -H^3+ 5H^2 + 36H$

Rewrite as:

$H^3 - 5H^2 - 36H + 180 = 0$

Factorize:

$H^2(H - 5) - 36(H - 5) = 0$

$(H^2 - 36)(H - 5) = 0$

Express $H^2 - 36$ as difference of two squares

$(H - 6)(H + 6)(H - 5) =0$

This gives:

$H - 6 =0==> H = 6$

$H + 6 =0==> H = -6$

$H - 5 =0==> H = 5$

Since the height can not be negative, then H = 5 or H = 6

Recall that:

$W = 4 + H$

$L = 9 - H$

When H = 5

$W = 4 + 5 = 9$

$L = 9 - 5 = 4$

When H = 6

$W = 4 + 6 = 10$

$L = 9 - 6 = 3$

Hence, the dimensions of the box are:

$Length = 5in; Width = 9in; Height = 5in$

$Length = 3in; Width = 10in; Height = 6in$

3 0

3 years ago

In the parallelogram shown, find x in terms of u and v.

Lubov Fominskaja [6]

Answer:

x = 2u -v

Step-by-step explanation:

X is the excess when we try to squeeze 2 u's on the side v,therefore

x = 2u -v

4 0

2 years ago

Please help, marking brainliest if correct

bezimeni [28]

Answer:

Step-by-step explanation:

2x+x+4=115 (ext ∠)

3x=111

x=37

∠MNO=2(37)

=74°

8 0

3 years ago

Read 2 more answers

Complete the inequality statement. 5/8___7/12

Alborosie

$[Hello,BrainlyUser]$

Answer:

5/8 < 7/12

Step-by-step explanation:

To find which is greater we can turn them into a decimal..

5/8 ⇒ 0.625

7/12 ⇒ 0.583

Then, we compare the two decimal numbers to get the answer.

0.625 is greater than 0.583.

Therefore, 5/8 is greater than 7/12 .

CloudBreeze]

5 0

2 years ago

Read 2 more answers

to rent a building for a school dance ava paid $120 plus $2.50 for each student who attended. If she paid a total cost of $325 h

deff fn [24]

Answer:

82 students

Step-by-step explanation:

8 0

3 years ago

True or false inequalities have many solutions and equations have one solution​

True or false inequalities have many solutions and equations have one solution