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Natasha2012 [34]
3 years ago
14

Please help It says (a^9 b^5 c^8)^2

Mathematics
1 answer:
Harrizon [31]3 years ago
4 0
A^18b^10c^16 solution
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Michelle is cutting string to make necklaces. She has 15 feet of string. She need 1 1/2 feet of string for each necklace. How ma
Degger [83]

Answer:

Number of neckless make = 10

Step-by-step explanation:

Given:

Length of string = 15 ft

Each neckless need = 1\frac{1}{2} = 1.5 ft

Find:

Number of neckless make

Computation:

Number of neckless make = Length of string / Each neckless need

Number of neckless make = 15 / 1.5

Number of neckless make = 10

7 0
3 years ago
If y = 3x + 1 is changed to y = 4x + 1, how would the graph of the new function compare with
inn [45]

Answer:

The graph of the new function would be steeper than the first one.

Step-by-step explanation:

<h3>Slope-intercept form</h3>

y= mx +c, where m is the gradient and c is the y-intercept. Note that in this form, the y term is the only term on the left-hand side of the equation and its coefficient is 1.

<h3>Identifying gradients</h3>

Since the two equations are in the slope-intercept form, we can easily identify their gradients from the coefficient of x.

The gradient of the first graph is 3, while that of the new function is 4.

<h3>Implications of a greater gradient</h3>

The gradient of a graph is how steep it is, or the change of y with respect to x. Also when we are given a linear graph without its equation, we can find its gradient using the formula:

\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }

This formula can also be written as

\boxed{ slope = \frac{rise }{run} }

These formulas imply that the gradient is the looking at how much the y- coordinate changes with respect to x. The term 'gradient' and 'slope' have the same meaning and is used interchangeably here.

Given that the new function has a greater slope, it has a greater change in y with respect to x than the first graph. Thus, we see a steeper graph when y= 3x +1 is changed to y= 4x +1.

<h3>y- intercepts</h3>

The y-intercept does not change in this case and both graphs intercept the y-axis at y= 1.

<h3>Note</h3>

In the attached graph, the first graph is represented by the red line while the graph of the new function is in blue.

5 0
2 years ago
For each of the sequences below, enter either diverges if the sequence diverges, or the limit of the sequence if the sequence co
Tanzania [10]

Answer:

As n tends to positive infinity, we have that,

A. 5/n + n/5 ---- converges

B. 5^-n. -----------converges

C. Sin n/5n------ converges

D. 5n + 5/n ------diverges

Step-by-step explanation:

5 0
3 years ago
The height of a triangle is 4 m less than its base. The area of the triangle is 48 m^2.
masya89 [10]

Answer:

Step-by-step explanation:

Let x = base measurement; then height = (x-4).

 

A = ½•base•height 48 = ½x(x-4

4 0
3 years ago
3. Solve the equation using square roots. If the equation has no real solution, write
noname [10]
3) x² - 121 = 0

x² = 121

x' = +√121

x' = 11

_______________

x'' = - √121

x'' = -11

Solution ⇒ S{-11 ; 11 } or (x-11)(x+11)

4) 4x² + 144 = 0

4x² = -144

x² = -144 / 4

x² = -36

x = √-36

No solution ⇒ S = ∅

5) z²+10z+21 = 0

Δ = 10² - 4(1)(21)

Δ = 100 - 84

Δ = 16

x' = (-10+4) / 2 = -6/2 = -3

x'' = (-10-4) / 2 = -14/2 = -7

Solution ⇒ S{ -7 ; -3} or (x+3)(x+7)
4 0
3 years ago
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