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Natasha_Volkova [10]
3 years ago
15

Choose which function is represented by the graph

Mathematics
2 answers:
galben [10]3 years ago
6 0

Answer:

C

Step-by-step explanation:

The roots of the graph, where it crosses the x- axis are

x = - 1, x = 2 and x = 5

The corresponding factors are then

(x + 1), (x - 2) and (x - 5)

f(x) is the product of the factors, that is

f(x) = (x - 5)(x - 2)(x + 1) → C

Usimov [2.4K]3 years ago
5 0

Answer:

C

Step-by-step explanation:

The points at which the graph crosses the x axis are called the zeros of the function. The zeros can be found by which number plugged in for x would result in at least one zero. In this case if you plug 5 into (x-5) you get zero, so the entire function is zero. Likewise for 2 in (x-2) and -1 in (x+1). If you look at the graph, 5, 2 and -1 are points at which the graph crosses the x axis and therefore are zeros.

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Are 2/7 and 6/21 equivalent ratios
ra1l [238]
6 / 2 = 3
21 / 7 = 3

Yes, 2/7 and 6/21 are equivalent ratios.  The second number is simply the first number tripled.  
5 0
3 years ago
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In a pair of similar polygons, corresponding angles are congruent.
SashulF [63]
<span>The correct answer would be option C. Similar polygons
Similar polygons are polygons wherein the corresponding angles are congruent and the corresponding sides are proportional with each other. Thus, having a pair of similar polygons would mean that its corresponding angles would always be congruent.</span>
3 0
3 years ago
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The sum of 3 consecutive odd numbers is 177. What is the value of the smallest number in the sequence
riadik2000 [5.3K]

Ok this is a very question that can solved very easily. So we know that there three numbers, and they are consecutive, this means that they are all one bigger than the number before so for example 1,2, and 3 or 20, 21, and 22. These numbers are called consecutive. Now let's just pretend that the answer to this question is the variable "x". Now x is the smallest number in all the three numbers.

Using our knowledge of consecutive numbers we can say that the next to numbers will be one more than the number before so:

(x+1) and (x+2)

So we have our three numbers: x , x+1 , and x+2. Now let's set these numbers equal to 177.

177 = x + x + 1 + x + 2 → Combine like terms.

177 = 3x + 3 → Subtract 3 from both sides.

174 = 3x → Divide both sides by 3

58 = x

So that means that our first and smallest number is going to be 58 our second number will be +1 so 59 and our third number will be +2 so 60.

So the three numbers will be 58, 59, and 60.

Hope this helped.

4 0
2 years ago
You buy the following materials for the new extension.
Daniel [21]

I assume you mean

2 tonnes of sand at £75.00 per tonne

20 bags of cement at £6.70 per bag

350 bricks at 45p each

If so, then

2 tonnes of sand at £75.00 per tonne = 2 * £75.00 = £150.00

20 bags of cement at £6.70 per bag = 20 * £6.70 = £134.00

350 bricks at 45p each = 350 * £0.45 = £157.50

Add the three amounts

£150.00 + £134.00 + £157.50 = £441.50

Answer: 441.50

7 0
3 years ago
33-7r = 3(6-4r) what does r equal?
dlinn [17]
33-7r = 3(6-4r)
33 - 7r = 18 - 12r
33 -7r + 7r = 18 - 12r + 7r
33 = 18 - 5r
33 - 18 = 18 - 5r - 18
15/5 = 5r/5
3 = r
r = 3
8 0
3 years ago
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