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Alex73 [517]
3 years ago
5

Use the graph of the line to answer each question.

Mathematics
1 answer:
Mariulka [41]3 years ago
8 0

The y intercept (b) is where is crosses the y axis = 5

The x intercept is where is crosses the x axis = 4

The slope is rise over run  or y2 - y1/x2 - x1

m = 0 - 5/4 - 0

m = -5/4

y = mx +b

y = -5/4x + 5

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If two zeroes of a polynomial x3+5x2+7x+3 are -1 and-3 then find the third Zero
belka [17]

Answer:

Third zero is -1.

Step-by-step explanation:

consider the given polynomial is  

P(x)=x^3+5x^2+7x+3

It is given that -1 and -3 are two zeroes, therefore (x+1) and (x+3) are two factors of given polynomial.

The given polynomial can be rewritten as

P(x)=x^3+x^2+4x^2+4x+3x+3

P(x)=x^2(x+1)+4x(x+1)+3(x+1)

P(x)=(x+1)(x^2+4x+3)

Now, splitting the middle term, we get

P(x)=(x+1)(x^2+3x+x+3)

P(x)=(x+1)(x(x+3)+1(x+3))

P(x)=(x+1)(x+1)(x+3)

P(x)=(x+1)^2(x+3)

Here, power of (x+1) is 2. It means the multiplicity of zero -1 is 2.

So, three zeroes are -1, -1 and -3.

Therefore the third zero is -1.

7 0
3 years ago
Colin invests £3900 into his bank account.
zloy xaker [14]

Answer:

Colin will have 421824 pennies after 2 years

Step-by-step explanation:

Given:

Amount invested in bank by Colin (P) = £3900

Rate of interest (r) = 4%

Time period (n) = 2 years

To find: Amount after 2 years (A)

Solution:

Formula for amount (A) is A=P\left ( 1+\frac{r}{100} \right )^n

A=3900\left ( 1+\frac{4}{100} \right )^2\\=3900\left ( 1+\frac{1}{25} \right )^2\\=3900\times \frac{26}{25}\times \frac{26}{25}\\=4218.24

As 1 pound = 100 pennies,

4218.24 pounds = 4218.24 × 100 = 421824 pennies

So,

Colin will have 421824 pennies after 2 years.

4 0
2 years ago
5x=-4y+4;x= 1,2,3 solve equation then find value of y
nadezda [96]

x = 1 5(1)= -4y + 4 5= -4y + 4 -4.        -4  1 = -4y   y = -¼   x = 2...   10 = -4y + 4  6 = -4y  y = -3/2   x = 3..   15 = -4y + 4  11 = -4y  y = -11/4

7 0
3 years ago
Read 2 more answers
Which table represents a function that does not have a constant rate of change ?
EleoNora [17]

Answer:

I believe D.

Step-by-step explanation:

All the other tables increase at a stady rate but D doesn't.

4 0
2 years ago
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Paladinen [302]
If 6=1 then 6x7= 42 so 42 oz of food per week
5 0
3 years ago
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