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ivolga24 [154]
4 years ago
8

ASAP Please thank you!

Mathematics
1 answer:
Pavel [41]4 years ago
6 0

A cycle in the graph below is HDGH.

A cycle is where a vertices, or corner, can be traced back to itself. HDGH starts with H and traces back to H on the same line.

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Find the slope of the line through the points (4, 4) and (-1, 5).
Phoenix [80]
<span>We write pattern linear function
f(x) = ax + b

</span><span>Both points must be in one straight line so they can be used to lay the system of equations .
Points A=(4,4), B = (-1,5)
                x  y            x  y

</span>\left \{ {{f(x)=ax + b  (Point A)} \atop {f(x) = ax +b (PointB)}} \right.  \\  \\  \left \{ {{4 =a*4 + b} \atop {5=a*(-1)+b}} \right.  \\  \\  \left \{ {{b= 4 -4a} \atop {5 = -a + (4 - 4a)}} \right. \\  \\   \left \{ {{b = 4 - 4a} \atop {5 - 4 = - 5a }} \right.  \\  \\  \left \{ {{b = 4 - 4a} \atop {a = -  \frac{1}{5} }} \right.  \\  \\  \left \{ {{ b = 4 - 4*(- \frac{1}{5} )= 4 +  \frac{4}{5} = 4,8} \atop {a = -  \frac{1}{5} }} \right.

<span>We insert the calculated a and b in the equation f(x) = ax + b

</span>y = -  \frac{1}{5} x + 4,8

<span>Since a> 0, the function is decreasing</span>
4 0
3 years ago
If you drive 208 miles and use 8 gallons of gas what is your rate of gas consumption
Natasha_Volkova [10]
26 miles per gallon is your answer you divide 208 miles by 8 finding out how many miles per gallon you drive. To check your answer you can multiply 26 times 8 and you get 208 miles.
3 0
3 years ago
Hey can you please help me posted picture of question
ruslelena [56]
Answer:
Two 

Explanation:
The solution of a system of equations is defined as the values which satisfies both equations.

Graphically, the solutions are represented by the points of intersection between the two equtaions.

In the given graph, we have a circle and a line, we can note that these two intersect in two points.

This means that the system has two solutions

Hope this helps :)
5 0
3 years ago
Read 2 more answers
If f(2) = 13 and f '(x) ≥ 2 for 2 ≤ x ≤ 7, how small can f(7) possibly be?​
timofeeve [1]

Answer:

23

Step-by-step explanation:

We are given that

f(2)=13

f'(x)\geq 2

2\leq x\leq 7

We have to find the possible small value of f(7).

We know that

f'(x)=\frac{f(b)-f(a)}{b-a}

Using the formula

f'(x)=\frac{f(7)-f(2)}{7-2}

f'(x)=\frac{f(7)-13}{5}

We have

f'(x)\geq 2

\frac{f(7)-13}{5}\geq 2

f(7)-13\geq 2\times 5

f(7)-13\geq 10

f(7)\geq 10+13

f(7)\geq 23

The small value of f(7) can be 23.

3 0
3 years ago
Which number(s) below belong to the solution set of the equation? Check all
Stells [14]

Answer:

11

Step-by-step explanation:

198 ÷ 18 = 11

x = 11

......

4 0
3 years ago
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