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3 years ago

Plssss helppp!!!!!!!!!

Mathematics

2 answers:

Ierofanga [76]3 years ago

6 0

The first answer is 25

belka [17]3 years ago

6 0

Answer:

17. x=25

18. x=72

19. x=151

20. x=28

Step-by-step explanation:

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2(4x − 3) − 8 = 4 + 2x<br> steps

asambeis [7]

Answer:

X=3

Step-by-step explanation:

2(4x-3)-t=4+2x

multiply parentheses by 2

8x-6-8=4+2x

Calculate

8x-14=4+2x

Move terms

8x-2x=4+14

Calculate the sum after collecting like terms

6x=18

Divide both sides by 6

x=3

6 0

3 years ago

Read 2 more answers

Look at picture. Does anybody know the answer I’m lost?

masha68 [24]

Let $x,y$ be the dimensions of the rectangle. We know the equations for both area and perimeter:

$A=xy=36$

$P=2(x+y)=36 \iff x+y=18$

So, we have the following system:

$\begin{cases}xy=36\\x+y=18\end{cases}$

From the second equation, we can deduce

$y=18-x$

Plug this in the first equation to get

$xy=x(18-x)=-x^2+18=36$

Refactor as

$x^2-18x+36=0$

And solve with the usual quadratic formula to get

$x=9\pm3\sqrt{5}$

Both solutions are feasible, because they're both positive.

If we chose the positive solution, we have

$x=9+3\sqrt{5} \implies y=18-x=18-9-3\sqrt{5}=9-3\sqrt{5}$

If we choose the negative solution, we have

$x=9-3\sqrt{5} \implies y=18-x=18-9+3\sqrt{5}=9+3\sqrt{5}$

So, we're just swapping the role of $x$ and $y$ . The two dimensions of the rectangle are $9+3\sqrt{5}$ and $9-3\sqrt{5}$

6 0

3 years ago

Peter says, "If you subtract 13 from my number and multiply the difference by -3, the result is

Art [367]

Answer:

Peter's number is 36.

Step-by-step explanation:

If you subtratct 13 from 36, you get 23.

If you multiply that times -3, you get -69.

(The way I got 23 was by dividing -69 and -3)

I hope this helped you even though it's late.

6 0

3 years ago

Solve the power equation <br> x to the 1/2 power + 3=5

sp2606 [1]

Answer:

x = 4

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

6 0

3 years ago

The cost to produce a product is modeled by the function f(x) = 5x^2 − 70x + 258, where x is the number of products produced. Co

Advocard [28]

The minimum of a quadratic function, with a positive coefficient a, is its vertex.

Let's find the x₀ coordinate.

$f(x) = 5x^2 -70x + 258\\\\x_0=\dfrac{-b}{2a}=\frac{-(-70)}{2*5} =\frac{70}{10} =7$

Now we need to find y₀ coordinate. That will be the minimum of function.

$y_0=5\times7^2-70\times7+258=13$

So, the minimum cost to produce the product is $13

Decompose 5x^2 − 70x + 258 into multipliers

$5x^2 - 70x + 258=(5x^2-70x+245)+13=5(x^2-14+49)+13=\\=5(x-7)^2+13$

Answer: 5(x − 7)^2 + 13; The minimum cost to produce the product is $13.

4 0

3 years ago