Answer:
D) 2x²+4x-30
Step-by-step explanation:
You would multiply x and 2x; x and -6; 5 and 2x; 5 and -6
(x)(2x) = 2x²
(x)(-6) = -6x
(5)(2x) = 10x
(5)(-6) = -30
Now just put it back in the order that it was listed in the equation starting with (x)(2x)
This would give you 2x²-6x+10x-30
Simplify even further to get 2x²+4x-30
Answer:
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Let the number = x
Writing the equation you have:
10x + 15 <= -17
Solve for x
Subtract 15 from both sides:
10x <= -32
Divide both sides by 10:
X <= -32/10
Simplify:
X <= -16/5 as a fraction or -3.2 as a decimal
a) The equation of line k is:

b) The equation of line j is:

The equation of a line, in <u>slope-intercept formula</u>, is given by:

In which:
- m is the slope, which is the rate of change.
- b is the y-intercept, which is the value of y when x = 0.
Item a:
- Line k intersects line m with an angle of 109º, thus:

In which
and
are the slopes of <u>k and m.</u>
- Line k goes through points (-3,-1) and (5,2), thus, it's slope is:

- The tangent of 109 degrees is

- Thus, the slope of line m is found solving the following equation:






Thus:

It goes through point (-2,6), that is, when
, and this is used to find b.





Thus. the equation of line k, in slope-intercept formula, is:

Item b:
- Lines j and k intersect at an angle of 90º, thus they are perpendicular, which means that the multiplication of their slopes is -1.
Thus, the slope of line j is:


Then

Also goes through point (-2,6), thus:



The equation of line j is:

A similar problem is given at brainly.com/question/16302622
Ratio of chicken stock to mixed vegetables is 3.5 to 8