Answer:
see below
Step-by-step explanation: 5 23 15 03
f(x) = g(x) + 4 find g(x) for f(x) = 3x + 2
sub f(x) = 3x + 2 into f(x) = g(x) +4
3x + 2 = g(x) + 4
3x + 2 - 4 = g(x) + 4 - 4
3x - 2 = g(x)
Equ 1: X-Y=5
equ 2: x∗y=36
from Equ 1
X=5+Y------equ 3
substitute x=5+y in equ 2
(5+y)∗y=36
5y+y^2=36
y^2+5y-36=0
factorize by substitution
(y^2+9y)-(4y-36)=0
y(y+9)-4(y+9)=0
(y-4)(y+9)=0
y=4 or y=-9....
substitute y=4 or -9 in equ 1
x-4=5
x=5+4
x=9 OR
x-(-9)=5
x+9=5
x=5-9
x=-4
since -4∗-9=36
therefore y=-9 and x=-4
Answer:
6 and 7
Step-by-step explanation:
The value of a and b in terms of equation are; a = 3 + b and b = a + 18.
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
We are given polynomial, h(t) = 2t - at + bt + 4 represents Mr. Bill's height in metres at 't seconds. "-Mr." Bill is rapidly approaching a tall brick wall which is 100 metres high and will reach the wall in 3 seconds.
h = 100 metres
t = 3 seconds
Now substitute the values;
h(t) = 2t - at + bt + 4
100 = 2(3) - a(3) + b(3) + 4
100 = 6 - 3a + 3b + 4
3a + 90 = 3b
We need to find out if Mr. Bill will clear the wall or slam into it!
h(t) = 2t - at + bt+4 has a remainder of 9 when divided by (t-1) and a remainder of "-36" when divided by (t+2).
When t = 1
Then;
h(t) = 2t - at + bt + 4
9 = 2(1) - a(1) + b(1) + 4
9 = 6 - a + b
a = 3 + b
When time t = -2
Then; h(t) = 2t - at + bt + 4
-36= 2(-2) - a(-2) + b(-2) + 4
-36 = -4 + 2a - 2b + 4
-18 = a - b
b = a + 18
Learn more about equations here;
brainly.com/question/25180086
#SPJ1
2x + 5 = 0.5x - 1
(Multiplying by 2 cause I hate fractions/decimals)
4x + 10 = x - 2
3x + 10 = -2
3x = -12
x = -4
Y = 2x + 5
Y = 2(-4) + 5
Y = -8 + 5
Y = -3
Y = 0.5x - 1
Y = 0.5(-4) - 1
Y = -2 - 1
Y = -3
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