Find the sum and classify the polynomial based on degree and number of terms.

larisa86 [58]

We know that a triangle equals 180 degrees in total. We also know one of the angles so we can do 180-84= 96. This means that the other two angles must be equal to 96 degrees. We then set up (x+59)+(x+51)=96 "since both of the angles must add up to 96." Then we add like terms and get 2x+110=96. Further simplification gives us x= -7. Plug this into both angles and you get that angle A is 44 degrees.

8 0

3 years ago

The ratio of Monarch butterflies to Queen butterflies at a butterfly farm was 5:2. If there are no additional butterflies at the

andrew-mc [135]

So we know if there are 5 groups/dozens of Monarch butterflies, there are 2 groups/dozens of Queen butterflies. In other words, there are 5 Monarch butterflies for every 2 Queen butterflies.

Then we can turn that into an equation.

$5x = m \\ \\ 2x =q \\ \\ 5x + 2x = m + q$
From the last equation we wrote we can see that the total number of butterflies in the farm is $7x$ .

When we compare the Queen butterflies to total butterflies, we get $\frac{q}{m + q} = \frac{2x}{5x + 2x} = \frac{2x}{7x} = \frac{2}{7}$

The ratio of Queen butterflies to total butterflies is 2:7.

7 0

2 years ago

What is the equation for g, which is f(x) = 2x2 + 3x − 1 reflected across the y-axis? Group of answer choices g(x) = −2x2 − 3x −

Sergio [31]

Answer:

$g(x) = 2x^2 - 3x - 1$