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Makovka662 [10]
3 years ago
9

Find the quadratic polynomial whose graph goes through the points (-1,8), (0,6), and (2, 26). f(0) = x^2+ x+

Mathematics
1 answer:
kirill115 [55]3 years ago
8 0

Answer:

4x² + 2x + 6 = 0

Step-by-step explanation:

The polynomial which has highest degree 2 is known as quadratic polynomial. It is of the form:

ax² + bx + c = 0

where, a ≠ 0 and a, b & c are any constant.

We have given three points (-1, 8), (0, 6), and (2, 26)

Putting these value of (x, y) in quadratic equation one by one.

We get, three equations:

8 = a - b + c

6 = c

26 = 4a + 2b + c

Solving these equations, We get,

a = 4, b = 2 and c = 6

Now putting these values of a, b, and c in standard quadratic equation.

We get,

4x² + 2x + 6 = 0

which is required equation.

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I need help! Someone help me please
liberstina [14]

Answer:

4. 27

Step-by-step explanation:

11-10=1 which is <=16

15-10=5 which is <=16

26-10=16 which is <=16

27-10=17 which isn't <=16

Therefore 27 doesn't satisfy the inequality

4 0
3 years ago
Read 2 more answers
$1000 is invested at 2.9% annual interest for 6 months.<br> a. Simple Interest b. Compound Interest
kirza4 [7]

Answer:

a. Simple interest = $174

b. Compund interest = $1187.1

Step-by-step explanation:

Given the following data;

Principal, P = $1000

Interest, R = 2.9%

Time, T = 6 months

a. To find the simple interest;

S.I = (PRT)/100

S.I = (1000*2.9*6)/100

S.I = 17400/100

S.I = $174

b. To find the compound interest;

A = P(1 + \frac{r}{100})^{t}

Substituting into the formula, we have;

A = 1000(1 + \frac{2.9}{100})^{6}

A = 1000(1 + 0.029)^{6}

A = 1000(1.029)^{6}

A = 1000(1.1871)

A = $1187.1

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3 years ago
I need help on this
Sever21 [200]

Answer:

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Step-by-step explanation:

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7 0
2 years ago
Help, how would I get my answer for this question?
Maslowich

Answer:

(-4,32)

Step-by-step explanation:

Given points are (-1,-8)

And given transformation is D_4 r_{x-axis}

We will start from left to right.

First transformation is reflection about x-axis.

When we reflect about x-axis (x,y)\ became\ (x,-y)

So, (-1,-8)=[-1,-(-8)]=(-1,8)

Now next transformation is dilation with a factor 4.

If we do dilation with a factor 'k' to the point (x,y)

New co-ordinates after dilation became (kx,ky)

So, (-1,8)\ became\ (-4,32)

8 0
3 years ago
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