Answer:
g(x) = x^2 + 4x + 4
Step-by-step explanation:
In translation of functions, adding a constant to the domain values (x) of a function will move the graph to the left, while subtracting from the input of the function will move the graph to the right.
Given the function;
f(x) = x2 - 6x + 9
a shift 5 units to the left implies that we shall be adding the constant 5 to the x values of the function;
g(x) = f(x+5)
g(x) = (x+5)^2 - 6(x+5) + 9
g(x) = x^2 + 10x + 25 - 6x -30 + 9
g(x) = x^2 + 4x + 4
Find the Greatest Common Factorthe largest number that divides evenly into <span>4x<span>4x</span></span> and <span>-6<span>−6</span></span>?
It is <span>22</span>.
the highest degree of <span>xx</span> that divides evenly into <span>4x<span>4x</span></span> and <span>-6<span>−6</span></span>?
It is 1, since <span>xx</span> is not in every term.Multiplying the results above,
The GCF is <span>22</span>.
<span><span>2(<span><span>2</span><span><span>4x</span></span><span></span></span>−<span><span>2</span><span>6</span><span></span></span>)
</span>
<span>−2(2x−3)</span>
</span>
Answer:
- D. No, they are not similar.
Step-by-step explanation:
<u>Check the ratio of the two given sides:</u>
- MV/VT = 21/49 = 3/7
- LV/VU = 8/28 = 2/7
Ratios are different so the triangles are not similar
Correct choice is D
Step-by-step explanation:
Money = Rs 1800
Ratio = 2:3:4
1st Person = 2x
2nd Person = 3x
3rd Person = 4x
X = ?
2x + 3x + 4x = 1800
9x = 1800
X = 200
1st Person = 2x = 2×200 = <u>Rs 400</u>
2nd Person = 3x = 3×200 = <u>Rs 600</u>
3rd Person = 4x = 4×200 = <u>Rs 800</u>
