The degree of f(x) is 4. Also the leading coefficient is 1 and it is positive
So as x approaches infinity then y approaches infinity
as x approaches -infinity then y approaches infinity
The first and fourth graph goes up and it satisfies the above . so we ignore the second and third graph.
Now we check the x intercepts of the first graph
x intercepts of first graph is -4 and 2
Plug in -4 for x in f(x) and check whether we get 0
Now plug in 2 for x and check
So -4 and 2 are the x intercepts that satisfies f(x)
Hence first option is the graph of
Solutions
Associative Property is a rule that refers to grouping. The rule is "<span>a + (b + c) = (a + b) + c</span><span>".
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The correct answers are (A) and (D)
(A) = <span> (11 + 2.2) + (–5) = 11 + [2.2 + (–5)]
(D) = </span><span>–7 + [4 + (–2.1 • 6)] = (–7 + 4) + (–2.1 • 6)</span>
Answer
x = 7.5
Explanation
This is a case of similar triangles.
Similar triangles have bigger triangles which have sides which are multiples of smaller triangles sides.
We know that the adjacent side of the bigger triangle is 6 and for the smaller triangle it’s 4 so the constant factor by which the sides of the small triangle are multiplied to obtain the sides of the large triangle is
6/4 = 3/2
Since we know the hypotenuse of the smaller triangle is 5.
Multiply this by 3/2 to get the hypotenuse of the bigger triangle
3/2 • 5 = 7.5
Hope this helped
A) Olly weighs more. Ellen=x, Olly=x+15, James=x+11.
B)Ellen weighs the least. Olly and James have more weight than her making her the lightest.
C)James weighs less than Olly. Olly=x+15, James=x+11
⓵ You run 1 ¾ miles. You can decide to work with fractions, but I find it easier to work with decimals :
¾ = 3 ÷ 4 = 0,75
1 mile + 0,75 mile = 1,75 miles
⓶ Your friend runs 4 times as far as you do, wich means that he runs 1,75 miles times four :
1,75 x 4 = 7 miles
So your final answer is : Your friend runs 7 miles each day.
I hope this helped, if there’s anything just let me know! ☻
