2(4x-6)=6x-4
2(4x)-2(6)=6x-4
8x-12=6x-4
8x-6x=-4+12
2x=8
2x/2=8/2
x=4
check...2(4*4-6)=6*4-4
2(10)=24-4
20=20 ✓
The error that Bryan has done in this inequality is that he included –14 in his solution set.
<h3>How to point out the mistake made</h3>
What Bryan has to do would be to write this inequality in such a way that the variable would appear on the left.
But the symbol that he has chosen does not move in this same direction as the graph.
The -14 should not be inclusive in the graph because it is not a part of the graph solution.
He used the wrong number in this inequality.
Read more on inequalities here:
brainly.com/question/24372553
#SPJ1
S=2d
4s+3d=300000-80000
4s+3d=220000, now using s=2d in this equation you get:
4(2d)+3d=220000
8d+3d=220000
11d=220000
d=20000
So each daughter gets 20000 and each son gets 40000.
Answer:
d = 9
Step-by-step explanation:
Calculate the slope m of line AB and equate the result to 3
m = 
with (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(d, 21)
m =
=
= 3 ( multiply both sides by d - 4 )
15 = 3(d - 4), that is
15 = 3d - 12 ( add 12 to both sides )
27 = 3d ( divide both sides by 3 )
9 = d
Answer:
Step-by-step explanation:
Mark the two points (-1,7) and (1,-1) on the graph. Then draw a straight line between them. To determine the equation that goes through these two points, we can use the two given points to find the slope of the line. The standard form of a straight line equation is
y = mx + b,
where m is the slope and y is the y-intercept (the value of y when x = 0).
Slope is also known as the "Rise"/"Run" - the change in y divided by the change in x. We can use the two points to calculate this:
Rise (-1-(7) = -8 Run = (1 - (-1) = 2
The slope is therefore (-8/2) or -4.
y = -4x + b
We can find b by entering either of the two points in y = -4x + b and solve for b. I'll use (1,-1) since I have my 1's multiplication table memorized
y = -4x + b
-1 = -4(1) + b
b = 3
The straight line equation that connects the two points is
y = -4x + 3
You can graph this equation (e.g., on DESMOS) to see how it intersects the points. <u>[Attached]</u>
The coordinates of the y intercept are (0,3).