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timama [110]
3 years ago
12

Factor the expression x2-5x+6

Mathematics
1 answer:
wel3 years ago
7 0

Answer:

x2 + 5 x − 6  using the AC method.  ( x − 1 ) ( x + 6 )

If it is wrong I am sorry!

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Find the average rate of change of each function on the interval specified.
ExtremeBDS [4]

The average rate of change (AROC) of a function f(x) on an interval [a, b] is equal to the slope of the secant line to the graph of f(x) that passes through (a, f(a)) and (b, f(b)), a.k.a. the difference quotient given by

f_{\mathrm{AROC}[a,b]} = \dfrac{f(b)-f(a)}{b-a}

So for f(x) = x² on [1, 5], the AROC of f is

f_{\mathrm{AROC}[1,5]} = \dfrac{5^2-1^2}{5-1} = \dfrac{24}4 = \boxed{6}

4 0
2 years ago
How to I find a? It’s round to the nearest tenth.
Irina18 [472]

Answer:

a ≈ 21.8

Step-by-step explanation:

We require the third angle in the triangle

Subtract the sum of the 2 angles from 180

third angle = 180° - (75 + 31.8)° = 180° - 106.8° = 73.2°

Using the Sine rule, that is

\frac{a}{sin73.2} = \frac{22}{sin75} ( cross- multiply )

a × sin75° = 22 × sin73.2° ( divide both sides by sin75° )

a = \frac{22sin73.2}{sin75} ≈ 21.8 ( to the nearest tenth )

7 0
3 years ago
10. Which transformations result in a preimage and image with opposite orientations?
Airida [17]
Reflections and glide reflections both give you a transformation where the preimage and image have opposite orientations.
3 0
3 years ago
Read 2 more answers
verify that the fucntion satisfies the three hypotheses of rolles theorem on the given interval . then find all numbers c that s
Ghella [55]

The roots of the polynomial <span><span>x^3 </span>− 2<span>x^2 </span>− 4x + 2</span> are:

<span><span>x1 </span>= 0.42801</span>

<span><span>x2 </span>= −1.51414</span>

<span><span>x3 </span>= 3.08613</span>


x1 and x2 are in the desired interval [-2, 2]

f'(x) = 3x^2 - 4x - 4

so we have:

3x^2 - 4x - 4 = 0

<span>x = ( 4 +- </span><span>√(16 + 48) </span>)/6

x_1 = -4/6 = -0.66

x_ 2 = 2

According to Rolle's theorem, we have one point in between:

x1 = 0.42801 and x2 = −1.51414

where f'(x) = 0, and that is <span>x_1 = -0.66</span>

so we see that Rolle's theorem holds in our function.

4 0
3 years ago
Carrie has 300 marbles 25 of the marbles are green 15% of the marbles are red and the rest of the marbles are blue how many blue
Rus_ich [418]

Answer:

230.

Step-by-step explanation:

\:  \:  \:  \: 300 - 25 -  \frac{15}{100}  \times 300 =  \\  = 275 - 45 =  \\  = 230

Hope this helps!

4 0
3 years ago
Read 2 more answers
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