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3 years ago

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2 answers:

Karo-lina-s [1.5K]3 years ago

5 0

Answer:

Step-by-step explanation:

the pizza come in slices that are 1/8 each.

there are 36 slices, which means $\frac{36}{288}$ . so the simplest form is 1/8 as well. Maria bought 4 pizzas

anzhelika [568]3 years ago

3 0

BI think hope it helps

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The exponential function f(x) = 3(5)x grows by a factor of 25 between x = 1 and x = 3. What factor does it grow by between x = 5

Delvig [45]

Answer:

B) 25

Step-by-step explanation:

Given exponential function:

$f(x)=3(5)^x$

The growth factor between $x=1$ and $x=3$ is 25.

To find the growth factor between $x=5$ and $x=7$

Solution:

The growth factor of an exponential function in the interval $x=a$ and $x=b$ is given by :

$G=\frac{f(b)}{f(a)}$

We can check this by plugging in the given points.

The growth factor between $x=1$ and $x=3$ would be calculated as:

$G=\frac{f(3)}{f(1)}$

$f(3)=3(5)^3$

$f(1)=3(5)^1$

Plugging in values.

$G=\frac{3(5)^3}{3(5)^1}$

$G=\frac{(5)^3}{(5)^1}$ (On canceling the common terms)

$G=(5)^{(3-1)}$ (Using quotient property of exponents $\frac{a^b}{a^c}=a^{(b-c)}$ )

$G=(5)^{2}$

∴ $G=25$

Similarly the growth factor between $x=5$ and $x=7$ would be:

$G=\frac{f(7)}{f(5)}$

$f(7)=3(5)^7$

$f(5)=3(5)^5$

Plugging in values.

$G=\frac{3(5)^7}{3(5)^5}$

$G=\frac{(5)^7}{(5)^5}$ (On canceling the common terms)

$G=(5)^{(7-5)}$ (Using quotient property of exponents $\frac{a^b}{a^c}=a^{(b-c)}$ )

$G=(5)^{2}$

∴ $G=25$

Thus, the growth factor remains the same which is =25.

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3 years ago

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Hi<br> Need help ASAP please

solong [7]

it's 3/2 because it rises three and goes over two. hope this helps !!

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3 years ago

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lyudmila [28]

Based on the given diagram we see that all the exterior angle is in a straight line with the interior angle.

Using the known angle measure, we know that the shape has angles of measure, 123 degrees, 94 degrees, 79 degrees, and '180 - x' degrees

Also, the sum of all the angles in a quadrilateral, any four-sided shape, is 360 degrees.

Now using the knowledge gained lets set up the equation

$123 + 94 + 79 + 180 - x = 360\\476 - x = 360\\-x = -116\\x = 116$

Therefore x is 116 degrees.

Hope that helps!

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pashok25 [27]

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Step-by-step explanation:

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3 years ago

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