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mrs_skeptik [129]
3 years ago
7

What is the solution to the inequality a-3>5

Mathematics
2 answers:
Lady bird [3.3K]3 years ago
6 0

Answer:

a > 8

Step-by-step explanation:

a-3>5

Add 3 to each side

a-3+3>5+3

a > 8

liberstina [14]3 years ago
4 0

Answer:

a > 8

Step-by-step explanation:

a - 3 > 5

Add 3 on both parts.

a - 3 + 3 > 5 + 3

The a variable must be on one side.

a > 8

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Please answer QUICKLY!!!
sergiy2304 [10]

Answer:

the range is {7,5,1}

Step-by-step explanation:

To find the range, just plug in the domain into the function.

f(-1) = -2(-1) + 5 = 7

f (0) = -2(0) + 5 = 5

f(2) = -2(2) + 5 = 1

8 0
2 years ago
Find a point on the curve x^3+y^3=11xy other than the origin at which the tangent line is horizontal.
attashe74 [19]

Compute the derivative dy/dx using the power, product, and chain rules. Given

x³ + y³ = 11xy

differentiate both sides with respect to x to get

3x² + 3y² dy/dx = 11y + 11x dy/dx

Solve for dy/dx :

(3y² - 11x) dy/dx = 11y - 3x²

dy/dx = (11y - 3x²)/(3y² - 11x)

The tangent line to the curve is horizontal when the slope dy/dx = 0; this happens when

11y - 3x² = 0

or

y = 3/11 x²

(provided that 3y² - 11x ≠ 0)

Substitute y into into the original equation:

x³ + (3/11 x²)³ = 11x (3/11 x²)

x³ + (3/11)³ x⁶ = 3x³

(3/11)³ x⁶ - 2x³ = 0

x³ ((3/11)³ x³ - 2) = 0

One (actually three) of the solutions is x = 0, which corresponds to the origin (0,0). This leaves us with

(3/11)³ x³ - 2 = 0

(3/11 x)³ - 2 = 0

(3/11 x)³ = 2

3/11 x = ³√2

x = (11•³√2)/3

Solving for y gives

y = 3/11 x²

y = 3/11 ((11•³√2)/3)²

y = (11•³√4)/3

So the only other point where the tangent line is horizontal is ((11•³√2)/3, (11•³√4)/3).

3 0
2 years ago
Jenna drove 35 miles in 30 minutes. At this rate, how many miles will she drive in 1 hour?
Llana [10]

Answer:

70 miles

Step-by-step explanation:

30 minn+30 min=1 hour/60 min

30 min=35 miles

add the minutes together then add the miles together witch will give you

1 hour/60 min=70 miles

4 0
3 years ago
Read 2 more answers
Help with 1 and 2 please
Anna35 [415]

Answer:

love your nails, can u bring it a bit closer tho?

Step-by-step explanation:

4 0
2 years ago
How do i estimate 260000?
xz_007 [3.2K]

Answer:

260000

Estimate = <u>300000</u>

7 0
3 years ago
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