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Kruka [31]
3 years ago
6

F(x)= -x2 + 1 for x =-3

Mathematics
1 answer:
dalvyx [7]3 years ago
8 0

Answer:

f(-3) = -8

Step-by-step explanation:

It is given that f(x) = - x² + 1. Find the value of f(x) by substituting x = -3 into f(x)

f(x) = - x² + 1

f(-3) = -(-3)² + 1

= -9 + 1

= -8

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The perimeter of a rectangle is 54 feet. The area of the rectangle is 176 square feet. Find the dimensions of the rectangle.
Murrr4er [49]

11 by 16

Explanation:

Set up two equations

2

x

+

2

y

=

54

x

×

y

=

176

Solving the first equation for x

2

x

+

2

y

−

2

y

=

54

−

2

y

this gives

2

x

=

54

−

2

y

Divide both sides by 2

(

2

x

2

)

=

54

−

2

y

2

This gives.

x

=

27

−

y

putting this value into the second equation gives.

(

27

−

y

)

×

y

=

176

multiplying across the parenthesis gives

27

y

−

y

2

=

176

subtracting 176 from both sides gives

is

27

y

−

y

2

−

176

=

0

multiplying by negative one gives

−

27

y

+

y

2

+

176

=

0

factoring this into y gives

(

y

−

11

)

×

(

y

−

16

)

=

0

Solving for both y's gives

y

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,

y

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16

6 0
2 years ago
15/331<br> please show in dept steps for the division
photoshop1234 [79]

\frac{15}{331}or 0.045317

Step-by-step Explanation :

As the given fraction is an improper fraction, it is hard to divide properly. Either :

☆ You can write what it is given as per question for the answer.

☆ Else, by dividing, we will get a huge value. In this case, we get it as 0.045317

8 0
2 years ago
Glenn rolls a 6-sided die. What is the probability that he gets a number greater than 2 or an odd number?
Marysya12 [62]
Hello!

You can write down what the possible numbers their are

The numbers greater than 2 are 3, 4, 5, and 6

The numbers that are odd are 1, 3, and 5

List all the numbers out in a row

3, 4, 5, 6, 1, 3, 5, 

Eliminate one of the numbers that repeat

3, 4, 5, 6, 1

You put the amount of answers of the total amount of outcomes

The answer is 5/6

Hope this helps!


8 0
3 years ago
Calculate the correct answer. <br>17x - 3 = 48​
Nadya [2.5K]

Answer: x = 3

Step-by-step explanation:

Simplifying

17x + -3 = 48

Reorder the terms:

-3 + 17x = 48

Solving

-3 + 17x = 48

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 3 + 17x = 48 + 3

Combine like terms: -3 + 3 = 0

0 + 17x = 48 + 3

17x = 48 + 3

Combine like terms: 48 + 3 = 51

17x = 51

Divide each side by '17'.

x = 3

Simplifying

x = 3

6 0
2 years ago
Divide 7/9 by -11/7 then simplify
gayaneshka [121]
Invert the divisor and then multiply 7/9 by your result:

 7      -7        -49
--- * ------ = ---------
 9      11          99
6 0
3 years ago
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