Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Which of these expressions equal 15 when x = and y=3? Circle
all that apply.
4 (2y-4x)-1
(x²+1)+2x+3y
4x²+2y³-10
xy+3+20x

Sagot :

chetankachana

Answer:

Option 1: 4(2y - 4x) -1

Step-by-step explanation:

Hello!

Given:

  • x = 0.5
  • y = 3

Plug in the values for x and y into each equation and see which one outputs 15.

4(2y - 4x) -1

  • 4(2(3) - 4(0.5)) - 1
  • 4(6 - 2) - 1
  • 4(4) - 1
  • 16-1
  • 15

(x² + 1) + 2x + 3y

  • (0.5² + 1) + 2(0.5) + 3(3)
  • 1.25 + 1 + 9
  • 11.25

4x²+2y³-10

  • 4(0.5²) + 2(3³) - 10
  • 4(0.25) + 2(27) - 10
  • 1 + 54 - 10
  • 55 - 10
  • 45

xy+3+20x

  • (0.5)(3) + 3 + 20(0.5)
  • 1.5 + 3 + 10
  • 4.5 + 10
  • 14.5

The only option that works is the first option.

semsee45

Answer:

[tex]4 (2y-4x)-1[/tex]

Step-by-step explanation:

Given:

  • [tex]x =\dfrac{1}{2}[/tex]
  • [tex]y=3[/tex]

To find which expressions equal 15, substitute the given values of x and y into the expressions and evaluate:

[tex]\begin{aligned}4(2y-4x)-1 &= 4 \left(2(3)-4 \left(\dfrac{1}{2}\right)\right)-1\\& = 4 \left(6-2\right)-1\\& = 4 \left(4\right)-1\\& = 16-1\\& = 15\\\end{aligned}[/tex]

[tex]\begin{aligned}(x^2+1)+2x+3y & = \left(\left(\dfrac{1}{2}\right)^2+1\right)+2 \left(\dfrac{1}{2}\right)+3(3)\\& = \left(\left\dfrac{1}{4}+1\right)+1+9\\& = \dfrac{5}{4}+1+1+9\\& = \dfrac{45}{4}\end{aligned}[/tex]

[tex]\begin{aligned}4x^2+2y^3-10 & = 4\left(\dfrac{1}{2}\right)^2+2(3)^3-10\\& = 4\left(\dfrac{1}{4}\right)+2(27)-10\\& = 1+54-10\\& = 45\end{aligned}[/tex]

[tex]\begin{aligned}xy+3+20x & = \left(\dfrac{1}{2}\right)(3)+3+20\left(\dfrac{1}{2}\right)\\& = \dfrac{3}{2}+3+10\\& = \dfrac{29}{2}\end{aligned}[/tex]

Therefore, the only expression that equals 15 is:

  [tex]4(2y-4x)-1[/tex]

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.