Answer: good luck
Step-by-step explanation:Step 1) Because the first equation is already solved for
y
we can substitute
3
x
+
8
for
y
in the second equation and solve for
x
:
8
x
+
4
y
=
12
becomes:
8
x
+
4
(
3
x
+
8
)
=
12
8
x
+
(
4
⋅
3
x
)
+
(
4
⋅
8
)
=
12
8
x
+
12
x
+
32
=
12
(
8
+
12
)
x
+
32
=
12
20
x
+
32
=
12
20
x
+
32
−
32
=
12
−
32
20
x
+
0
=
−
20
20
x
=
−
20
20
x
20
=
−
20
20
20
x
20
=
−
1
x
=
−
1
Step 2) Substitute
−
1
for
x
in the first equation and calculate
y
:
y
=
3
x
+
8
becomes:
y
=
(
3
⋅
−
1
)
+
8
y
=
−
3
+
8
y
=
5
The solution is:
x
=
−
1
and
y
=
5
or
(
−
1
,
5
)
Answer:
x = 710
Step-by-step explanation:
1. Divide both sides by 2 to get x by itself
1420 = 2x
↓
1420 ÷ 2 = 2x ÷ 2
↓
710 = x
2. Switch sides
710 = x
↓
x = 710
I know it is not one of your options but that is the answer to 1420 = 2x
Answer:
Fifteen and six hundredths
Step-by-step explanation:
By using exponent properties we will see that:
1) The expression is equal to 16.
2) The expression is equal to 4^6, so the correct option is B.
<h3>What is the value of the expression?</h3>
Here we want to solve the expression:
(2^0*4^(-2)*2^3*4^3)/2
Remember the exponent property:
a^x*a^y = a^{x + y}
let's rewrite the numerator:
2^0*4^(-2)*2^3*4^3
= (2^0*2^3)*(4^(-2)*4^3)
= 2^(0 + 3)*(4^(-2 + 3))
= 2^3*4 = 2^3*2*2 = 2^(3 + 1 + 1) = 2^5
Then we can rewrite the expression as:
2^5/2 = 2^4 = 16
b)
(1/4^-3)^2
The negative exponent means that we need to take the inverse:
(1/4^-3)^2 = (4^3)^2 = (4^3)*(4^3) = 4^(3 + 3) = 4^6
So the correct option is B.
Learn more about exponents:
brainly.com/question/847241
#SPJ1
