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2 years ago

Use the Algebra Tiles to construct the algebraic expression for this situation:

Mathematics

1 answer:

Zigmanuir [339]2 years ago

6 0

That’s a hard one use Brainly to find the answer

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Find a set of parametric equations for y= 5x + 11, given the parameter t= 2 – x

Sati [7]

Answer:

$x = 2-t$ and $y = -5\cdot t +21$

Step-by-step explanation:

Given that $y = 5\cdot x + 11$ and $t = 2-x$ , the parametric equations are obtained by algebraic means:

1) $t = 2-x$ Given

2) $y = 5\cdot x +11$ Given

3) $y = 5\cdot (x\cdot 1)+11$ Associative and modulative properties

4) $y = 5\cdot \left[(-1)^{-1} \cdot (-1)\right]\cdot x +11$ Existence of multiplicative inverse/Commutative property

5) $y = [5\cdot (-1)^{-1}]\cdot [(-1)\cdot x]+11$ Associative property

6) $y = -5\cdot (-x)+11$ $\frac{a}{-b} = -\frac{a}{b}$ / $(-1)\cdot a = -a$

7) $y = -5\cdot (-x+0)+11$ Modulative property

8) $y = -5\cdot [-x + 2 + (-2)]+11$ Existence of additive inverse

9) $y = -5 \cdot [(2-x)+(-2)]+11$ Associative and commutative properties

10) $y = (-5)\cdot (2-x) + (-5)\cdot (-2) +11$ Distributive property

11) $y = (-5)\cdot (2-x) +21$ $(-a)\cdot (-b) = a\cdot b$

12) $y = (-5)\cdot t +21$ By 1)

13) $y = -5\cdot t +21$ $(-a)\cdot b = -a \cdot b$ /Result

14) $t+x = (2-x)+x$ Compatibility with addition

15) $t +(-t) +x = (2-x)+x +(-t)$ Compatibility with addition

16) $[t+(-t)]+x= 2 + [x+(-x)]+(-t)$ Associative property

17) $0+x = (2 + 0) +(-t)$ Associative property

18) $x = 2-t$ Associative and commutative properties/Definition of subtraction/Result

In consequence, the right answer is $x = 2-t$ and $y = -5\cdot t +21$ .

5 0

2 years ago

Please help asap 30 pts

love history [14]

$14-4y\geq38\qquad|\text{subtract 14 from both sides}\\\\-4y\geq24\qquad|\text{change the signs}\\\\4y\leq-24\qquad|\text{divide both sides by 4}\\\\y\leq-6\\\\Answer:\ \boxed{d.\ y\leq-6}$

7 0

2 years ago

Read 2 more answers

Matt earns $5 for each lawn he does. He wants to earn at least $100. Which inequality represents his situation?

romanna [79]

Answer:

$100 is less than or equal to x

7 0

2 years ago

Read 2 more answers

a parking garage charges $2.50 base free plus an hourly rate of $4.00. If you hve most $12.50 how many parking you can

snow_lady [41]

Answer: 2.5 hours or 2 hr and 30 min

Step-by-step explanation:

We can set up an equation to find how many hours you can park.

2.5+4x=12.5

The 2.5 comes from the base fee. The 4x is the hourly rate, where x is hours. The 12.5 is the total amount of money you have.

Since we have our equation, we can solve for x.

4x=10

x=2.5

You can park for 2.5 hours, or 2 hours and 30 min.

7 0

2 years ago

Jessica reads a story about a turtle that swam 16 feet in 24 seconds. She assumes that the time, t, that it takes the turtle to

Monica [59]

You would start by figuring out the distance the turtle swims every second by dividing 24 by 16.
24➗16=1.5
From this we can take the numbers from either T: 1, ___, 24, 45 or D: ___, 10, 16, ___ to figure out the blank spaces for the other using multiplication or division. Divide T by 1.5, or multiply D by 1.5 to find the other

T: 1, 15, 24, 45
D: 1.5, 10, 16, 30

6 0

2 years ago