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stepladder [879]
3 years ago
6

Use the graph of the polynomial function f(x) = -43 + 6x to complete the following:

Mathematics
1 answer:
mina [271]3 years ago
5 0

9514 1404 393

Answer:

  1. positive
  2. negative
  3. decreasing
  4. increasing

Step-by-step explanation:

1. These are intervals where the graph is above the x-axis, hence positive.

2. These are intervals where the graph is below the x-axis, hence negative.

3. The first interval is between the left peak and the valley, where the graph is decreasing. The second interval is right of the right peak, where the graph is also decreasing.

4. The first interval is left of the left peak, where the graph is increasing. The second interval is between the valley and the right peak, where the graph is also increasing.

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What is the y-intercept of the function f(x)=4 – 5x?<br> A:-5<br> B:-4<br> C:4<br> D:-5
Bogdan [553]

Answer: option C is the correct answer

Step-by-step explanation:

The y-intercept of the function is the point on the y or vertical axis at which the straight line cuts through it. The value on the y axis is read off as the y-intercept .

The equation of a straight line is modelled using the slope - intercept equation of

y = mx + c

Where m is the slope( change in value of y/ change in value of x.

c = the y-intercept

Looking at the function given,

f(x)=4 – 5x? Where f(x) is the same as y in our slope intercept equation.

Rearranging the function, it becomes

f(x)= – 5x +4

The intercept is 4

Option C is the correct answer.

7 0
3 years ago
In one type of state lottery 5 distinct numbers are picked from 1,2,3,...,40 uniformly at random.
belka [17]

Answer: a) 1 / ⁴⁰C₅ b)  0.33

Step-by-step explanation:

a) The sample space consists of all numbers 1-40.

Since any of the number can be taken from the sample space  so each of five 5 distinct numbers we take has equal probability of occurring. So probability of each 5 numbers set we take will be equal to 1 / ⁴⁰C₅

b)

If we pick exactly 3 even number then that means other 2 will be odd.

So, we have sample space of 40 numbers out of which 20 are even and 20 are odd.

Now we have to pick 3 even out of 20 and 2 odd out of 20.

Probability = ²⁰C₃ * ²⁰C₂ / ⁴⁰C₅

Probability= 0.33

4 0
3 years ago
A cube can be unfolded into the net shown below. Find the total
melisa1 [442]

Answer:

23.9 mm

Step-by-step explanation:

A cube can be unfolded into the net shown below. Find the total

surface area of the cube.

23.9 mm

7 0
2 years ago
Help me with this please!
avanturin [10]
A because it starts out 2 degrees less than it need to be (-2) and it needs to go up. It shouldn't go down so it isn't B or D and C starts at 2 and it isn't 98 degrees to start with.
5 0
3 years ago
State true or false. If 9 is the solution of variable x in the equation fraction numerator 5 straight x space minus space 7 spac
Gekata [30.6K]

Answer:

False

Step-by-step explanation:

Based on what is stated in the question :

Expressing the worded equation Mathematically,

(5x - 7) / 2 = y

If y = 28

(5x - 7) / 2 = 28

Cross multiply

5x - 7 = 28 * 2

5x - 7 = 56

5x = 56 + 7

5x = 63

x = 63 / 5

x = 12.6

Hence, x ≠ 9

8 0
2 years ago
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