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olchik [2.2K]
2 years ago
13

Let f(x)=x2-3x + 9. Find f(-1).

Mathematics
1 answer:
netineya [11]2 years ago
3 0
X^2 - 3x + 9
(-1)^2 - 3(-1) + 9
1 - 3(-1) + 9
1 + 3 + 9
13
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Find the period of the function y= 2/3 cos(4/7^x) + 2
slavikrds [6]

T = 2 π / | 4/7 |

T = 2 π / 4/7

T = 2 π × 7 / 4

T = 7 π / 2

Thus the correct answer is option A .

8 0
3 years ago
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The perimeter of a standard-sized rectangular rug is 44 feet. The width is 2 feet
mariarad [96]

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2(l+b)

Let the length be x

then width  = x-2

44 ft = 2(l+b)

44ft = 2(x + x-2)

44ft  =  2(2x-2)

44 ft = 4x -4

44+4 = 4x

48 = 4x

x = 48/4 = 12

Length = <u>x = 12</u>

Width = <u>x-2 = 12-2 =10</u>

<u></u>

<u>Length is 12 and width is 10</u>

<u></u>

<u>check if its correct </u>

2(l+b) = 44

2(12+10)=44

2(22) = 44

8 0
1 year ago
Maria sold t-shirts at a festival and made a profit of 71 dollars. She made 4 dollars for each t-shirt she sold. Her total expen
Shkiper50 [21]
She sold around 17 t shirts
3 0
3 years ago
Arliss has two pieces of carpet runner. One is yards long and the other is yards long. She needs 10 yards of carpet runner altog
Alekssandra [29.7K]
Given:
10 yards required
5 2/3 yards on hand.

We need to subtract the yards on hand from the total yards required.

First, we need to convert the mixed fraction into an improper fraction.

5 2/3 = ((5*3)+2)/3 = (15+2)/3 = 17/3

Second, we need to multiply 10 by a fraction that will give us the denominator of 3.

10 * 3/3 = (10*3)/3 = 30/3

Third, we do subtraction using our derived fractions.

30/3 - 17/3 = (30-17)/3 = 13/3

Lastly, we simplify the improper fraction. Improper fraction is a fraction whose numerator is greater than its denominator. Its simplified form is a mixed fraction.

13/3 = 4 1/3

Arliss needs to buy 4 1/3 yards more to complete the required yard length. 

6 0
3 years ago
Read 2 more answers
What is the value of h when the function is converted to vertex form?
Dmitrij [34]

Answer:  The value of 'h' is 3.

Step-by-step explanation:  Given that the vertex form of a function is given by

g(x)=a(x-h)^2+k~~~~~~~~~~~~~~~~~~~~~~~~(i)

We are to find the value of 'h' when the following function is converted to the vertex form.

g(x)=x^2-6x+14~~~~~~~~~~~~~~~~~~~~~~(ii)

From equation (ii), we have

g(x)=x^2-6x+14\\\\\Rightarrow g(x)=x^2-2\times x\times 3+3^2-3^2+14\\\\\Rightarrow g(x)=(x-3)^2-9+14\\\\\Rightarrow G(x)=(x-3)^2+5.

Comparing it with the vertex form (i), we get

h=3.

Thus, the value of 'h' is 3.

4 0
3 years ago
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