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Nataly_w [17]
2 years ago
14

What is g(7) if g(x)= 2x+3 , x>4 -2x+3 , x<4

Mathematics
1 answer:
IrinaVladis [17]2 years ago
3 0

g(7)

7>4, so

g(x)=2x+3

g(7)=2*7+3=17

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A pole 5 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After pl
sammy [17]

The length of the guy's wire to the nearest foot is 89 feet.

The situation forms a right-angled triangle.

<h3>Properties of a right angle triangle:</h3>
  • A right-angle triangle has one angle of 90 degrees.
  • The sides can be found using the Pythagoras theorem.
  • The angles can be found using trigonometric ratios.

The hypotenuse of the triangle is the length of the wire.

let's use the smaller triangle to find the angle opposite the tower. Therefore,

tan ∅ = opposite / adjacent

tan ∅ =  5 / 2

∅ = tan⁻¹ 2.5

∅ = 68.1985905136

∅ = 68.20°

Therefore,

cos 68.20 = adjacent / hypotenuse

cos 68.20 = 33 / hypotenuse

hypotenuse = 33 / cos 68.20

hypotenuse = 88.8606843161

Therefore,

length of wire ≈ 89 feet.

learn more on triangles here; brainly.com/question/25762788?referrer=searchResults

4 0
2 years ago
3. Write an equation for the model below.
Korvikt [17]

Answer:

0

Step-by-step explanation:

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-5

-4

-3

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+0

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5 0
3 years ago
What is the name given to a polynomial with 10 terms
Zolol [24]

Answer:

It should be called A decic polynomial

Step-by-step explanation:

7 0
2 years ago
PLEASE ANSWER + BRAINLIEST!!!
ozzi

Answer:

C is correct

Step-by-step explanation:

Given: System of linear inequality

y

y\geq 2x+3

First we will draw the graph of system of equation and then see the correct option.

Equation 1: y

We will make the table.

 x :  -2    0     2

 y :   1     0    -1

Test Point: (0,4)

0<-2 ( False )

Shaded area away from (0,4)

Equation 2:y\geq 2x+3

We will make the table.

 x :  -2    0     2

 y :  -1     3    7

Test Point: (0,4)

4≥3 ( True )

Shaded area towards (0,4)

Please see attachment for graph.

Hence, C is common shaded area (region)

8 0
3 years ago
Read 2 more answers
7. Veronica is choosing between two health clubs.
vesna_86 [32]

Answer:

The total cost for  each health club will be the same after 4 months.

Step-by-step explanation:

  • Let A = membership fee for studio A
  • B = membership fee for studio B
  • x= membership month

  • A = 22 + 24.5x
  • B = 47.00 + 18.25x

We want to when the total cost at each health studio is the same.

In other words, when A = B.

Therefore, the expression becomes

A = B

22\:+\:24.5x=47.00\:+\:18.25x

Step 1: Simplify both sides of the equation.

24.5x+22=18.25x+47

Step 2: Subtract 18.25x from both sides.

24.5x+22-18.25x=18.25x+47-18.25x

6.25x+22=47

Step 3: Subtract 22 from both sides.

6.25x+22-22=47-22

6.25x=25

Step 4: Divide both sides by 6.25

\frac{6.25x}{6.25}=\frac{25}{6.25}

x=4

Therefore, the total cost for  each health club will be the same after 4 months.

8 0
2 years ago
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