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zalisa [80]
3 years ago
7

Rewrite using a single positive exponent. 7^9 x 7^-3

Mathematics
2 answers:
Elena L [17]3 years ago
8 0
When you multiply you add the exponents, so 7^9*7^-3=7^6
guajiro [1.7K]3 years ago
6 0

Answer:

7^{6}

Step-by-step explanation:

Using the rule of exponents

a^{m} × a^{n}  ⇔ a^{(m+n)}, thus

7^{9} × 7^{-3}

= 7^{(9-3)}

= 7^{6}

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Three x plus four equals forty three?
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4 years ago
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Which expression is equivalent to (7x-5)-(3x-2)
gtnhenbr [62]
4x-3 is the answer because you subtract like terms. 7x-3x=4x and -5-(-2)=-3
6 0
3 years ago
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Which expression is equivalent to 4+2(1+3x)?
Likurg_2 [28]

Answer:

6+18x

Step-by-step explanation:

=6(1+3x)

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=6+18x

7 0
3 years ago
1. Erin hits a golf ball off a tee. The height, yin yards, of the ball off the ground is given by
Sladkaya [172]

Answer:

The maximum height of the ball is 28.2 yards.

Step-by-step explanation:

When we have a quadratic equation in the following format:

y = ax^{2} + bx + c

The maximum value happens when

x = x_{v} = \frac{-b}{2a}

The maximum value will be y(x_{v})

In this problem, we have that:

y = -0.0018x^{2} + 0.45x + 0.05

So

a = -0.0018, b = 0.45, c = 0.05

x = x_{v} = \frac{-b}{2a} = \frac{-0.45}{2*(-0.0018)} = 125

The maximum height is:

y(125) = -0.0018*(125)^{2} + 0.45*125 + 0.05 = 28.2

The maximum height of the ball is 28.2 yards.

4 0
3 years ago
Is (-5,2), (5,2), (0,-3), (3,-8), (-7,4), (-1,-1) a function
Alja [10]
<h3>Answer: Yes it is a function</h3>

Each point listed is of the form (x,y). The x coordinate is always listed first. We dont have any repeat x values, so this is enough to conclude we have a function.

If you wanted to, you could graph each point given on the same coordinate grid. Note how none of the points stack on top of each other. Or put another way, note how it is impossible to draw a single straight line through more than one point graphed. This graph passes the vertical line test.

A function is where plugging in any x value leads to exactly one y value.

If you had two points like (5,2) and (5,7) then the input x = 5 leads to more than one output y = 2 and y = 7 at the same time, making this example not a function.

4 0
3 years ago
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