Step-by-step explanation:
y = 5x + 4, x = -1
y = 5(-1) + 4
y = -5 + 4
y = -1
Answer:
x = -1 and x = 5
Step-by-step explanation:
<em>What are the solutions of the equation (x – 3)² + 2(x – 3) -8 = 0? Use u substitution to solve.</em>
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(x – 3)² + 2(x – 3) -8 = 0 -------------------------------------------------------(1)
To solve this problem, we will follow the steps below;
let u = x-3
we will replace x-3 by u in the given equation:
(x – 3)² + 2(x – 3) -8 = 0
u² + 2u -8 = 0 ----------------------------------------------------------- --------------(2)
We will now solve the above quadratic equation
find two numbers such that its product gives -8 and its sum gives 2
The two numbers are 4 and -2
That is; 4×-2 = -8 and 4+(-2) = 2
we will replace 2u by (4u -2u) in equation (2)
u² + 2u -8 = 0
u² + 4u - 2u -8 = 0
u(u+4) -2(u+4) = 0
(u+4)(u-2) = 0
Either u + 4 = 0
u = -4
or
u-2 = 0
u = 2
Either u = -4 or u = 2
But u = x-3
x = u +3
when u = -4
x = u + 3
x = -4 + 3
x=-1
when u = 2
x = u + 3
x = 2 + 3
x=5
Therefore, x = -1 and x =5
x
Step-by-step explanation:
First, we should define supplementary angles.
Supplementary angles are angles that add up to 180 degrees.
Since 1 and 2 are supplementary and we know their values, we just set them equal to 180 degrees
(
4
y
+
7
)
+
(
9
y
+
4
)
=
180
Now just solve for one variable
13
y
+
11
=
180
13
y
=
169
y
=
13
Now the question asks for m<2, which is
9
y
+
4
So we just plug in
9
⋅
13
+
4
=
121
So m<2 is 121
3. 12h
h is the number of floors in the building.
4. 11 floors
7.16d
d represents the number of months
8. 144 sunny days
Hope this helps though I believe I have 3 and 7 incorrect since I'm not good at writing expressions....
Divide 77.5 by 10 = 7.75
Since we divide by 10.2 (and not 10), we **subtract** 2% of 7.75, which is about 0.155 to give 7.595. (error=-0.04%)
You can also simplify a little by approximating 2% of 7.75 as 0.15 to give 7.6 as your estimate. (error=+0.026%)
exact value = 7.598...
