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german
3 years ago
5

Which describes the graph of y= (x+ 6)²+ 1? A. Vertex at (-6,-1) B. Vertex at (-6, 1) C. Vertex at (6, 1) D. Vertex at (6,-1)​

Mathematics
1 answer:
mamaluj [8]3 years ago
3 0

Answer:

B

Step-by-step explanation:

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Briony invests some money. Interest is paid on the money at a rate of 2% per annum for the first year and 1% per annum for the s
nalin [4]

Answer:

Brionny invested £8400.

Step-by-step explanation:

Simple Interest

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

In this question:

We divide in two intervals, the first year and the second year. We have to know that the amount after the end of the first year is the principal at the start of the second year.

First year:

Amount of 2% interest, during 1 year.

So the interest earned is:

E = P*I*t = P*0.02*1 = 0.02P

The total amount at the end of the first year is:

T = E + P = 0.02P + P = 1.02P

Second year:

We have that:

P = 1.02P

The interest earned is of:

E = P*I*t = 1.02P*0.01*1 = 0.0102P

The total amount is:

T = E + P = 0.0102P + 1.02P = 1.0302P

After two years, the investment is worth £8653.68 How much did Briony invest?

So

1.0302P = 8653.68

P = \frac{8653.68}{1.0302}

P = 8400

Brionny invested £8400.

3 0
3 years ago
Given h(x) = x2 – 5x + 7, find the following.<br> a. h(2)<br> b.h(-5)<br> c. h(-8)
azamat

Answer:

Step-by-step explanation:

hello :

h(x) = x² – 5x + 7

h(-2) = (-2)² – 5(-2) + 7 =4+10+7 =21

h(-5) = (-5)² – 5(-5) + 7= 25+25+7 =57

h(-8) = (-8)² – 5(-8) + 7 = 64+40+7=111

5 0
3 years ago
Which could be the entire interval over which the function,
Marrrta [24]

Answer:

(-2, 1)

Step-by-step explanation:

Hi Juliadayx! How are you?

Well, maybe you already heard about the domain and the range of a function.  

The domain is the set of values that the independent variable can take (usually referred to as the letter "x"), while the range is the set of values that the dependent variable takes, which is called f(x) or function of x.

In this case, the exercise asks you to evaluate for which values of “x” (right column of the table), the function “f(x)” takes positive values (left column of the table), the positive values also include zero. And in this case you can see that the function f(x) is only positive for the values of "x": -2, -1, 0 and 1. Therefore, the answer is the entire interval (-2, 1).

I hope I've been helpful!

Regards!

3 0
3 years ago
Determine whether the forces in the pair are pulling at right angles to each other.
snow_tiger [21]
Given:
right triangle
a = 2.9
c = 4.2

Pythagorean Theorem: a² + b² = c²

missing value of b.

b² = c² - a²
b² = (4.2)² - (2.9)²
b² = 17.64 - 8.41
b² = 9.23
b = √9.23
b = 3.03 or 3.0 

The value of b is 3.0
4 0
3 years ago
Suppose a square garden represented by 16x squared foot squared what is the length of each side
allochka39001 [22]

Answer: 4

Step-by-step explanation:

Area of a square is side*side, which is s^2

So, s^2=16

s=squareroot(16)=4

4 0
3 years ago
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