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iogann1982 [59]
3 years ago
15

HELP ASAP! Relations and Functions!!! Giving brainliest!!!

Mathematics
1 answer:
Leviafan [203]3 years ago
4 0

Answer:

Step-by-step explanation:

Neither are a function because they do not pass the vertical line test.

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Seven increased by the<br> product of two numbers
Kobotan [32]

Answer: x ≥ 5

Step-by-step explanation:

7 is increased by the product of a number and 3:  7 + 3x

Is at least 22:  ≥ 22

 

Your equation is: 7 + 3x ≥ 22

subtract 7 from both sides

3x ≥ 15

divide both sides by 3

x ≥ 5

8 0
3 years ago
A box is to be made where the material for the sides and the lid cost​ $0.20 per square foot and the cost for the bottom is ​$0.
Reika [66]

Answer:

The dimension of the box is l×w×h =  (2.274 × 2.274 × 1.934) ft³

Step-by-step explanation:

From the given information;

Let a be the cost of the box

Let b  be one side of the square base ;    &

h to be the height  of the box

We know that the volume of the box = 10 cubic feet

Then;

a²h = 10

h = 10/a²

The base = (0.65)a²

The top = (0.2)a²

The side = (0.2) a × 25/a²

= 5/a

For the four sides of the box now ;

= (0.2) 4a × 25/a²

= 0.8  × 25/a

= 20 /a

The total cost of the box is:

b = 0.65a² + 0.2a² + 20 /a

b = 0.85 a² + 20 /a

Taking differential of b with respect to a ;we have:

db/da = 1.7a - 1/a²(20) = 0

1.7 a³ - 20 = 0

1.7 a³  = 20

a³ = 20/1.7

a³ = 11.77

a = \sqrt[3]{11.77}

a = 2.274 ft

Thus; the cost for the base of the box = (0.65)a²

the cost for the base of the box =(0.65) × ( 2.274)²

the cost for the base of the box = 3.362

The top of the box = (0.2)a²

The top of the box = (0.2)× ( 2.274)²

The top of the box = 1.034

The four sides of the box = 20 /a

The four sides of the box = 20/2.274

The four sides of the box = 8.795

the total cost = b = 0.85 a² + 20 /a

the total cost = 0.85 (2.274)² + 20 /2.274

the total cost = 4.395 + 8.795

the total cost = 13.19

Recall that:

the volume of the box = 10 cubic feet

Then;

a²h = 10

h = 10/a²

h = 10/ 2.274²

h  1.934

The dimension of the box is l×w×h =  (2.274 × 2.274 × 1.934) ft³

7 0
3 years ago
If TU = 8, UV = 3x, and TV = x + 10, what is TV?
IgorLugansk [536]

The value of TV is 11.

<h3>What is equation?</h3>

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given:

TU= 8, UV = 3x and TV = x+10

TV= TU + UV

x +10= 8+ 3x

-2x = -2

x= 1

Hence, TV = 1+10= 11.

Learn more about equation here:

brainly.com/question/10413253

#SPJ1

6 0
2 years ago
KMZ~ KDH; find z.<br> F<br> 21<br> D<br> 6x + 3<br> E 17<br> G<br> 8x-1<br> C
Drupady [299]

Answer:

x=8

Step-by-step explanation:

Triangle DCE is similar to EGF

CE/EF=DE/EG

Substitute

(8x-1)/21=(6x+3)/17

Cross multiply

(8x−1)*(17)=(6x+3)*(21)

136x−17=126x+63

Subtract 126x from both sides

10x−17=63

Add 17 to both sides.

10x−17+17=63+17

10x=80

Divide both sides by 10.

x=8

6 0
3 years ago
Huilans age is three times Thomas's age. the sun of their ages is 40. what is Thomas's age?
vredina [299]

Answer:

Step-by-step explanation:

Huilan = H

Thomas = T

H = 3T

T+3T = 40(This is the sum)

4T = 40

4T/4=T

40/4=10

T=10

6 0
3 years ago
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