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3 years ago

Evaluate 3x - 4y + 11 for x = -2 and y = -1

Mathematics

2 answers:

katrin [286]3 years ago

7 0

Answer:

Step-by-step explanation:

Plug in -2 for x, and -1 for y, and solve:

3x - 4y + 11

3(-2) - 4(-1) + 11

Remember to follow PEMDAS. First, multiply. Remember, that when you multiply:

2 positive signs will result in a positive answer.

1 positive & 1 negative will result in a negative answer.

2 negative will result in a positive answer.

3 * -2 = -6

-4 * -1 = 4

-6 + 4 + 11 = 9

9 is your answer.

sukhopar [10]3 years ago

5 0

Answer:

Step-by-step explanation:

3x - 4y + 11

When x = -2 and y = -1

Then,

3(-2) -4(-1) + 11

-6 + 4 + 11

- 2 + 11

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10. How many three-topping pizzas can be ordered from the list of toppings below? Did you calculate the number of permutations o

Nimfa-mama [501]

Step-by-step explanation:

Total numbers of pizza toppings = 12

Number of three topping pizzas can be ordered are:

$P^{n}_{k}=\frac{n!}{(n-k)!}$

where = n = number of elements

k = number of elements choosen

n= 12 , k = 3

$\frac{12!}{(12-3)!} =\frac{12\times 11\times 10\times 9!}{9!}= 1,320$

We calculated the number of permutations. We made this choice because in permutation order of element matters but in combination its not.

8 0

3 years ago

2) A gym charges a $30 membership fee and $10 per month. Write an

kari74 [83]

C = 10m + 30, where C is total cost and m is # of months

C = 10(5) + 30

C = 50 + 30

C = $80

$160 = 10m + 30

160 - 30 = 10m

130/10 = m

m = 13 months

Hope that helps

5 0

3 years ago

PLEASE HELP WILL MARK BRAINLIEST<br> -SEE ATTACHMENT-

yuradex [85]

ANSWER

$(x - 5) ^{5} = {x}^{5} - 25 {x}^{4} + 250 {x}^{3} - 1250 {x}^{2} + 3125x- 3125$

EXPLANATION

From the Pascal's triangle,

The coefficients are :

1, 5, 10,10, 5,1

Because of the negative sign, the expansion will alternate sign.

$(x - y) ^{5} = {x}^{5} - 5 {x}^{4} y + 10 {x}^{3} {y}^{2} - 10 {x}^{2} {y}^{3} + 5x {y}^{4} - {y}^{5}$

We now put y=5 into the expansion to get,

$(x - 5) ^{5} = {x}^{5} - 5 {x}^{4} (5) + 10 {x}^{3} ( {5}^{2}) - 10 {x}^{2} ({5})^{3} + 5x( {5})^{4} - {5}^{5}$

$(x - 5) ^{5} = {x}^{5} - 25 {x}^{4} + 250 {x}^{3} - 1250 {x}^{2} + 3125x- 3125$

3 0

4 years ago

Read 2 more answers

Using a linear approximation, estimate f(2.1), given that f(2) = 5 and f'(x) = √3x-1.

algol [13]

Answer:

$f\left( {2.1} \right) \approx 5.22360$ .

Step-by-step explanation:

The linear approximation is given by the equation

${f\left( x \right) \approx L\left( x \right) }={ f\left( a \right) + f^\prime\left( a \right)\left( {x - a} \right).}$

Linear approximation is a good way to approximate values of $f(x)$ as long as you stay close to the point $x= a$ , but the farther you get from $x=a$ , the worse your approximation.

We know that,

$a=2\\f(2) = 5\\f'(x) = \sqrt{3x-1}$

Next, we need to plug in the known values and calculate the value of $f(2.1)$ :

${L\left( x \right) = f\left( 2 \right) + f^\prime\left( 2 \right)\left( {x - 2} \right) }=5+\sqrt{3(2)-1}(x-2) =5+\sqrt{5}(x-2)$

Then

$f\left( {2.1} \right) \approx 5+\sqrt{5}(2.1-2)\approx5.22360$ .

6 0

3 years ago

Decide whether it is possible for a triangle to have the three angle measures or three side lengths given.

9966 [12]

Answer:

Step-by-step explanation:

the first one cant be a triangle

im pretty sure the second one can

the third one can

im pretty sure the fourth one cant

8 0

3 years ago