Answer:
x<4
Step-by-step explanation:
-2x+20<2x+4
−2x+20−2x<2x+4−2x
−4x+20<4
−4x+20−20<4−20
−4x<−16
−4x/-4<-16/-4
x<4 its a open circle
Answer:
Darlene bought more fabric
Darlene bought 3.4 yards more
Step-by-step explanation:
Darlene = 7 yards + 20% extra
= 7 yards + (20% of 7 yards)
= 7 + (20% × 7)
= 7 + (0.2 × 7)
= 7 + 1.4
= 8.4 yards
Chris = 4 yards + 25% of 4 yards
= 4 yards + (25% of 4 yards)
= 4 + (25% × 4)
= 4 + (0.25 × 4)
= 4 + 1
= 5 yards
Darlene bought more fabric
How much more?
Darlene - Chris
= 8.4 yards - 5 yards
= 3.4 yards
Darlene bought 3.4 yards more
Answer:
5
Step-by-step explanation:
Answer:
GCF= 1
LCM= 1680
Step-by-step explanation:
GCF= Find the prime factorization of 21, 21 = 3 x 7
Find the prime factorization of 80, 80 = 2 x 2 x 2 x 2 x 5
Then multiply the prime factors both numbers have in common
LCM= multiply the two numbers together and ignore all negative signs
Answer:
Horizontal shift of 4 units to the left.
Vertical translation of 8 units downward.
Step-by-step explanation:
Given the quadratic function, y = (x + 4)² - 8, which represents the horizontal and vertical translations of the parent graph, y = x²:
The vertex form of the quadratic function is y = a(x - h)² + k
Where:
The vertex is (h , k), which is either the <u>minimum</u> (upward facing graph) or <u>maximum</u> (downward-facing graph).
The axis of symmetry occurs at <em>x = h</em>.
<em>a</em> = determines whether the graph opens up or down, and makes the graph wider or narrower.
<em>h</em> = determines how far left or right the parent function is translated.
<em>k</em> = determines how far up or down the parent function is translated.
Going back to your quadratic function,
y = (x + 4)² - 8
- The vertex occrs at (-4, -8)
- a is assumed to have a value of 1.
- Given the value of <em>h</em> = -4, then it means that the graph shifted horizontally by <u>4 units to the left</u>.
- Since k = -8, then it implies that the graph translated vertically at <u>8 units downward</u>.
Please mark my answers as the Brainliest, if you find this helpful :)
