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3 years ago

Was it evaluated correctly?explain your reasoning.

Mathematics

1 answer:

NikAS [45]3 years ago

4 0

Answer:

It's not evaluated correctly

Step-by-step explanation:

in the problem 6 × 5 + 30 ÷ 30 we first need to multiply 6 and 5 then divide the 30 by 10 and finally add them up

6×5 = 30

30 ÷ 10 = 3

30 + 3 = 33

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Three numbers are in the ratio 3:9:10. If 10 is added to the last number, then the three numbers form an arithmetic progression.

MrRa [10]

Answer:

 The numbers are 6, 18, and 30 

Step-by-step explanation:

If the three numbers are in the ratio of 3:9:10,

let the numbers be 3x, 9x and 10x.

If 10 is added to the last number to form an arithmetic progression

Then, 3x 9x (10x+10) are the progression

The common difference of an arithmetic progression (d) = T₂ - T₁ = T₃ - T₂

T₂-T₁ = T₃ - T₂ .............. Equation 1

Where T₁ = first term of the progression, T₂ = Second term of the progression, T₃ = third term of the progression

Given: T₁ = 3x, T₂ = 9x, T₃ = 10x +10

Substituting these values into equation 1

9x-3x = (10x+10)-9x

Solving the equation above,

3x = 10+x

3x-x = 10

2x = 10

x = 10/2

x = 2.

Therefore the numbers are 6, 18, and 30 

7 0

3 years ago

Limit of x^2-81/x+9 As x goes toward -9

Semmy [17]

Hello,

Use the factoration

a^2 - b^2 = (a - b)(a + b)

Then,

x^2 - 81 = x^2 - 9^2

x^2 - 9^2 = ( x - 9).(x + 9)

Then,

Lim (x^2- 81) /(x+9)

= Lim (x -9)(x+9)/(x+9)

Simplity x + 9

Lim (x -9)

Now replace x = -9

Lim ( -9 -9)

Lim -18 = -18
_______________

The second method without using factorization would be to calculate the limit by the hospital rule.

Lim f(x)/g(x) = lim f(x)'/g(x)'

Where,

f(x)' and g(x)' are the derivates.

Let f(x) = x^2 -81

f(x)' = 2x + 0
f(x)' = 2x

Let g(x) = x +9

g(x)' = 1 + 0
g(x)' = 1

Then the Lim stay:

Lim (x^2 -81)/(x+9) = Lim 2x /1

Now replace x = -9

Lim 2×-9 = Lim -18

= -18

7 0

3 years ago

Find f(-2) f(x)=9x^2-5x+2

borishaifa [10]

Find f(-2) f(x)=9x^2-5x+2

f(-2) means replace x in the equation with -2:

f(-2)=9(-2)^2-5(-2)+2

= 9(4) +10 + 2

= 36 +10 + 2

= 48

f(-2) = 48

4 0

3 years ago

Write the following functions with the following characteristics. 5) Given a quadratic function that has shifted 10 to the right

lapo4ka [179]

Answer:

$(x-10)^{2} -7$

5 0

2 years ago

Lines l and m are parallel lines cut by the transversal line t. Which angle is congruent to ∠7?

pav-90 [236]

Answer:

<3, <2 or <6

Step-by-step explanation:

6 0

3 years ago

Was it evaluated correctly?explain your reasoning.​

Was it evaluated correctly?explain your reasoning.