Break apart 35 into 30+5=

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

6 0

30+5=5+30 with commutative property or 30+5=35

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What non-zero rational number must be placed in the square so that the simplified product of these two binomials is a binomial:

aleksandrvk [35]

The product would expand to

$(7t-10)(5t+x)=35t^2+7tx-50t-10x=35t^2+(7x-50)t-10x$

This is a trinomial, and the only way to make it a binomial is to cancel out a coefficient using our variable $x$ .

So, we can cancel either the linear term or the constant term.

In the first case, we require

$7x-50=0 \iff 7x=50 \iff x=\dfrac{50}{7}=\dfrac{49}{7}+\dfrac{1}{7}=7\dfrac{1}{7}$

In the second case, we require

$-10x=0\iff 10x=0 \iff x=0$

But $x$ must be a non-zero rational number, so this solution is not feasible.

7 0

3 years ago

Read 2 more answers

Please help! I will give brainliest to the correct answer!

vampirchik [111]

Answer:

Use desmos graphing calculator. Thats basically the answer to everything that involves graphing. gimme brainliest >:D

Step-by-step explanation:

7 0

3 years ago

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A ball is thrown upward from ground level. Its height h, in feet, above the ground after t seconds is h-48t -16t^2.

Marat540 [252]

Answer:

36 feet.

Step-by-step explanation:

We have been given that a ball is thrown upward from ground level. Its height h, in feet, above the ground after t seconds is $h(t)=-48t -16t^2$ . We are asked to find the maximum height of the ball.

We can see that our given equation is a downward opening parabola, so its maximum height will be the vertex of the parabola.

To find the maximum height of the ball, we need to find y-coordinate of vertex of parabola.

Let us find x-coordinate of parabola using formula $x=-\frac{b}{2a}$ .

$x=-\frac{-48}{2(-16)}$

$x=-\frac{48}{32}$

$x=-\frac{3}{2}$

So, the x-coordinate of the parabola is $-\frac{3}{2}$ . Now, we will substitute $x=-\frac{3}{2}$ in our given equation to find y-coordinate of parabola.