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Alex_Xolod [135]
3 years ago
12

^^ question above! Thanks!

Mathematics
1 answer:
Aleksandr [31]3 years ago
7 0
You can cross multiply and the answer would be 100/9
9/10=10/k
100=9k
k=100/9
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Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 2x-y=
Bond [772]

Answer:

The system of linear equations has infinitely many solutions

Step-by-step explanation:

Let's modified the equations and find the answer.

Using the first equation:

2x-y=5 we can multiply by 2 in both sides, obtaining:

2*(2x-y)=2*5 which can by simplified as:

4x-2y=10 which is equal to:

4x=2y+10

Considering the second equation:

=4x+ky=2

Taking into account that from the first equation we know that: 4x=2y+10, we can express the second equation as:

2y+10+ky=2, which can be simplified as:

(2+k)y=2-10

(2+k)y=-8

y=-8/(2+k)

Because (-8) is being divided by (2+k), then (2+k) can't be equal to 0, so:

2+k=0 if k=-2

This means that k can be any number different than -2, and for each of these solutions, there is a different solution for y, allowing also, different solutions for x.

For example, if k=0 then

y=-8/(2+0) which give us y=-4, and, because:

4x=2y+10 if y=-4 then x=(-8+10)/4=0.5

Now let's try with k=-1, then:

y=-8/(2-1) which give us y=-8, and, because:

4x=2y+10 if y=-8 then x=(-16+10)/4=-1.5.

Then, the system of linear equations has infinitely many solutions

8 0
3 years ago
6. What’s the answer to this question
Artyom0805 [142]

Answer:

C. The number of dog toys

Step-by-step explanation:

3 0
3 years ago
Select all the correct tables.
Ymorist [56]

Answer:

middle left

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Place the three functions in order from the fastest decreasing average rate of change to the slowest decreasing average rate of
victus00 [196]

Answer:

g(x), f(x) and h(x)

Step-by-step explanation:

Given

Interval: (0,3)

See attachment for functions f(x), g(x) and h(x)

Required

Order from fastest to slowest decreasing average rate of change

The average rate of change is calculated as:

Rate = \frac{f(b) - f(a)}{b - a}

In this case:

(a,b) = (0,3)

i.e.

a = 0\\b=3

For f(x)

f(x) = 16(\frac{1}{2})^x

Rate = \frac{f(b) - f(a)}{b - a}

Rate = \frac{f(3) - f(0)}{3 - 0}

Rate = \frac{f(3) - f(0)}{3}

Calculate f(3) and f(0)

f(x) = 16(\frac{1}{2})^x

f(3) = 16(\frac{1}{2})^3 = 16 * \frac{1}{8} = 2

f(0) = 16(\frac{1}{2})^0 = 16 * 1 = 16

So:

Rate = \frac{f(3) - f(0)}{3}

Rate = \frac{2 - 16}{3}

Rate = -\frac{14}{3}

For g(x)

Rate = \frac{g(b) - g(a)}{b - a}

Rate = \frac{g(3) - g(0)}{3 - 0}

Rate = \frac{g(3) - g(0)}{3}

From the table of g(x)

g(3) = 1

g(1) = 27

So:

Rate = \frac{1 - 27}{3}

Rate = -\frac{26}{3}

For h(x)

Rate = \frac{h(b) - h(a)}{b - a}

Rate = \frac{h(3) - h(0)}{3 - 0}

Rate = \frac{h(3) - h(0)}{3}

From the graph of h(x)

h(3) = -3

h(0) = 4

So:

Rate = \frac{-3 - 4}{3}

Rate = -\frac{7}{3}

So, the calculated rates of change are:

f(x) = -\frac{14}{3} = -4.67

g(x) = -\frac{26}{3} =-8.67

h(x) = -\frac{7}{3} =-2.33

By comparison:

From the fastest decreasing to slowest, the order is: <em>g(x), f(x) and h(x)</em>

4 0
3 years ago
PLEASE HELP
Greeley [361]
No, she is not correct. Since the difference in each x is not constant, it would be an exponential function. It is multiplied at a rate of 3 times the previous number
4 0
3 years ago
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