Y = -3x - 1......so we sub in -3x - 1 in for y in the other equation
2x + 5y = 12
2x + 5(-3x - 1) = 12....now distribute the 5 through the parenthesis
2x - 15x - 5 = 12...add 5 to both sides
2x - 15x = 12 + 5..combine like terms
-13x = 17...divide both sides by -13
x = -17/13
now sub in -17/13 for x in the other equation
y = -3x - 1
y = -3(-17/13) - 1
y = 51/13 - 1
y = 51/13 - 13/13
y = 38/13
so the solution is (-17/13, 38/13)
To convert degrees to radians multiply degrees by pi/180.
So 90 degrees = 90pi/180 = pi/2 radians or 1.57 radians to the nearest hundredth.
Answer:
D. 7 (6x+7)
Step-by-step explanation:
Factor 7 out of 42x + 49
Answer:
She will use the ratio shortening to flour as 4 : 15
Step-by-step explanation:
When Mrs. Stewart makes pie dough, she uses
cups of shortening for every
cups of flour.
So, for each
cup of shortening she uses
cups of flour.
Then, the ratio of shortening to flour in the mixture of pie dough will be
i.e. 4 : 15.
Therefore, she will use the ratio shortening to flour as 4 : 15 to find the amount of flour she needs when she uses 5 cups of shortening. (Answer)
We have been given that the number of species of coastal dune plants in Australia decreases as the latitude, in °s, increases.
Further we know that there are 34 species at 11°s and 26 species at 44°s.
We can express the given information at two ordered pairs as shown below:

Let us find slope of the line through these points:

Therefore, we can write the equation of line in slope intercept form as:

Where b is the y intercept, and we can find its value using one of the two points.

Therefore, the required equation of the linear function is:
