Answer:
X=(-1.5, 7.5)
Step-by-step explanation:
Simplifying
4x2 + -24x + -45 = 0
Reorder the terms:
-45 + -24x + 4x2 = 0
Solving
-45 + -24x + 4x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(-3 + -2x)(15 + -2x) = 0
Set the factor '(-3 + -2x)' equal to zero and attempt to solve:
Simplifying
-3 + -2x = 0
Solving
-3 + -2x = 0
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + -2x = 0 + 3
Combine like terms: -3 + 3 = 0
0 + -2x = 0 + 3
-2x = 0 + 3
Combine like terms: 0 + 3 = 3
-2x = 3
Divide each side by '-2'.
x = -1.5
Simplifying
x = -1.5
Set the factor '(15 + -2x)' equal to zero and attempt to solve:
Simplifying
15 + -2x = 0
Solving
15 + -2x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-15' to each side of the equation.
15 + -15 + -2x = 0 + -15
Combine like terms: 15 + -15 = 0
0 + -2x = 0 + -15
-2x = 0 + -15
Combine like terms: 0 + -15 = -15
-2x = -15
Divide each side by '-2'.
x = 7.5
Simplifying
x = 7.5
Solution
x = {-1.5, 7.5}
6 tenths + 3 thousandths equals 0.603 thousandths.
The first one is correct but I don’t know about the second one
The scale factor of DEFG to PQRS is: 3/8.
<h3>What is a Scale Factor?</h3>
- A scale factor of a dilation is the number by which the size of an original figure is changed to a new figure.
- Scale factor is ratio of corresponding side of new figure to original figure.
Thus:
DE corresponds to PQ.
PQRS is the new figure.
DE = 8; PQ = 3
Scale factor of DEFG to PQRS = PQ/DE
Scale factor = 3/8.
Thus, the scale factor of DEFG to PQRS is: 3/8.
Learn more about scale factor on:
brainly.com/question/2826496
To put a fraction into simplest form, you need to divide both the numerator and the denominator by the GCF of both of these numbers.
35 and 42 have a GCF of 7.
So, if we divide
35/7=5
42/7=6
Therefore, 35/42 in simplest form is 5/6
