Answer:
6 -9x
Step-by-step explanation:
The general form of the line is:
y = mx + c where:
m is the slope
c is the y-intercept
Now, we are given that the slope = 1/2.
The equation now became:
y = (1/2) x + c
Now, we need to get the y-intercept. We are given that (-4 ,1) belongs to the line. Therefore, this point satisfies the equation of the line. Based on this, we will substitute with this point in the equation above and solve for c as follows:
y = (1/2) x + c
1 = (1/2)(-4) + c
1 = -2 + c
c = 1+2
c = 3
Based on the above, the equation of the line is:
y = (1/2) x + 3
Answer:
-1 and -2, or 9 and 10
Step-by-step explanation:
If x is the smaller integer:
x (x + 1) = 14 + 4 (x + x + 1)
x² + x = 14 + 4 (2x + 1)
x² + x = 14 + 8x + 4
x² − 7x − 18 = 0
Factor using AC method:
(x − 9) (x + 2) = 0
x = -2 or 9
x is the smaller integer, so the larger integers are -1 and 10. Check each pair of solutions.
-1 and -2:
(-2) (-1) = 14 + 4 (-2 + -1)
2 = 14 + 4 (-3)
2 = 2
9 and 10:
(9) (10) = 14 + 4 (9 + 10)
90 = 14 + 4 (19)
90 = 90
Both solutions work.
Inequalities help us to compare two unequal expressions. The inequality for this scenario in standard form is 2x + 3y > 30.
<h3>What are inequalities?</h3>
Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
Let the safety counts be represented by x, while the field goal count is represented by y.
Part A: The inequality for this scenario in standard form.
2x + 3y > 30
Part B: The inequality in slope-intercept form.
2x + 3y > 30
3y > 30 - 2x
y > 10 - (2/3)x
y < (2/3)x - 10
PartC: The inequality is represented below.
Learn more about Inequality:
brainly.com/question/19491153
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<span>Let
x = the 10s digit
y = the units
N1----------> original number
</span>N2----------> new number
<span>N2=N1+36--------- >N2-N1=36
y+x=8------------- > equation (I)
then
10x + y = N1
10y+x=N2
(10y+x)-(10x+y)=36- -----> 9y-9x=36------- > y-x=4----------- > equation (II)
resolving (I) and (II)
</span> y+x=8
y- x=4<span>
-----------------
2y+0x=12--------------- >y=6
then
x=8-y=8-6=2----------> x=2
N1=26 and N2=62
the two digit number is 26</span>
