Answer:
A
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
Here g(x) is the graph of f(x) = x² shifted 4 units to the left, hence
g(x) = (x + 4)² → A
Answer:
x=10 and y=12
Step-by-step explanation:
To solve this quadratic equation we will use two method
1. Elimination method
2. substitution method
first of we use elimination method
we either eliminate x or y
we will be eliminating y
83x-20y=590..........(eq1)
60x+18y=816...........(eq2)
y will be eliminated by multiplying
(eq1) by 9
(eq2) by 10
which will give
747x-180y=5310.........(eq3)
600x-180y=8160.........(eq4)
see that y has the same value that is (-180y and +180y)
so to eliminate y completely you have to add eq1 and eq2 because if you don't add them together you wont eliminate y
747x-180y=5310
+
600x+180y=8160
=
1347x+0=13470
1347x=13470
x=13470/1347
x=10
Now to find y we use substitution method ie put x=10 in any of the equation above(eq1,eq2,eq3, eq4) you will get the same answer
eq1
83x-20y=590..... where (x=10)
83(10)-20y =590
830-20y=590
like terms
-20y=590-830
-20y= -240
divide both sides with -20
y= -240/-20
y=12
OR
eq2
60x+18y=816..... where x=10
60(10)+18y=816
600+18y=816
like term
18y=816-600
18y=216
y=216/18
y= 12
or eq3 or eq4 you will still get the same answer......
He can use addition by adding 0.44 and 1.224 together to see how much Vitamin B-12 (so far he has 1.664 in all.) he has right now. then he needs to subtract that amount (1.664) of B-12 he has from the amount of vitamin B-12 (2.4) he needs. That'll be 0.736 of vitamin B-12 he needs to reach the amount of B-12 he needs.
The expression that's always true is that D. a+c > b+d.
<h3>How to illustrate the information?</h3>
From the information given, it should be noted that we are told that a is less than b and c is less than d.
We are also informed that all the variables that are given are less than 0. Let's say a = -1, b = -2, c = -3 and d = -4.
Therefore, the expression that's always true is that. a+c > b+d. This will be:
= (-1 - 2) > (-3 - 4)
= -3 > -7
Based on the information given, the expression that is true is a+c > b+d.
Therefore, the correct option will be D.
Learn more about expressions on:
brainly.com/question/723406
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Answer: x^2+2x-8<0
Step-by-step explanation:
A. x^2 - 2x - 8 < 0
(x - 4)(x + 2) < 0
B. x^2 + 2x - 8 < 0
(x + 4)(x - 2) < 0
C. x^2 - 2x - 8 > 0
(x - 4)(x - 2) > 0
D. x^2 + 2x - 8 > 0
(x + 4)(x - 2) > 0
When you test a point in the interval between -4 and 2, for example 0, it is negative.
