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2 years ago

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The list shows the masses of five pens. • Pen A: 9.492 grams • Pen B: 9.47 grams • Pen C: 9.518 grams • Pen D: 9.508 grams • Pen

E: 9.52 grams Which pens have a mass of approximately 9.5 grams when rounded to the nearest tenth of a gram?

1 answer:

masya89 [10]2 years ago

6 0

Answer:

All of them

Step-by-step explanation:

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Help!! 50 points and brainliest!

Viktor [21]

Answer:

Second choice:

$x=2t$

$y=4t^2+4t-3$

Fifth choice:

$x=t+1$

$y=t^2+4t$

Step-by-step explanation:

Let's look at choice 1.

$x=t+1$

$y=t^2+2t$

I'm going to subtract 1 on both sides for the first equation giving me $x-1=t$ . I will replace the $t$ in the second equation with this substitution from equation 1.

$y=(x-1)^2+2(x-1)$

Expand using the distributive property and the identity $(u+v)^2=u^2+2uv+v^2$ :

$y=(x^2-2x+1)+(2x-2)$

$y=x^2+(-2x+2x)+(1-2)$

$y=x^2+0+-1$

$y=x^2$

So this not the desired result.

Let's look at choice 2.

$x=2t$

$y=4t^2+4t-3$

Solve the first equation for $t$ by dividing both sides by 2:

$t=\frac{x}{2}$ .

Let's plug this into equation 2:

$y=4(\frac{x}{2})^2+4(\frac{x}{2})-3$

$y=4(\frac{x^2}{4})+2x-3$

$y=x^2+2x-3$

This is the desired result.

Choice 3:

$x=t-3$

$y=t^2+2t$

Solve the first equation for $t$ by adding 3 on both sides:

$x+3=t$ .

Plug into second equation:

$y=(x+3)^2+2(x+3)$

Expanding using the distributive property and the earlier identity mentioned to expand the binomial square:

$y=(x^2+6x+9)+(2x+6)$

$y=(x^2)+(6x+2x)+(9+6)$

$y=x^2+8x+15$

Not the desired result.

Choice 4:

$x=t^2$

$y=2t-3$

I'm going to solve the bottom equation for $t$ since I don't want to deal with square roots.

Add 3 on both sides:

$y+3=2t$

Divide both sides by 2:

$\frac{y+3}{2}=t$

Plug into equation 1:

$x=(\frac{y+3}{2})^2$

This is not the desired result because the $y$ variable will be squared now instead of the $x$ variable.

Choice 5:

$x=t+1$

$y=t^2+4t$

Solve the first equation for $t$ by subtracting 1 on both sides:

$x-1=t$ .

Plug into equation 2:

$y=(x-1)^2+4(x-1)$

Distribute and use the binomial square identity used earlier:

$y=(x^2-2x+1)+(4x-4)$

$y=(x^2)+(-2x+4x)+(1-4)$

$y=x^2+2x+-3$

$y=x^2+2x-3$ .

This is the desired result.

3 0

2 years ago

Read 2 more answers

mamaluj [8]

Answer:

44.4%

Step-by-step explanation:

FIND THE TOTAL NUMBER OF BALLOONS

4 red +6 blue +3 yellow +5 orange =18

( ORANGE +YELLOW /TOTAL × 100 %)

8/18 × 100%= 44.4 % CHANCE

8 0

2 years ago

What is 154 ÷ 10? A. 0.154 B. 1.54 C.15.4 D.154

Bezzdna [24]

Answer:

15.4

Step-by-step explanation:

154 / 10 = 15.4

If you're ever dividing any number and it isn't a multiple of 10 you just move the decimal over to the left once.

5 0

2 years ago

Read 2 more answers

PLZ HELP ASAP I WILL MARK YOU BRAINLIEST

pochemuha

Answer:

The slope is 2.

Step-by-step explanation:

The formula for slope is-

$\frac{y_{1} -y_{2} }{x_{1} -x_{2} } \\$

Plug in the points (6, 10) and (2, 2).

$\frac{10-2}{6-2}=\frac{8}{4} =2$

5 0

2 years ago

Which graph represents the function h(x) = –(x + 6)3 – 3?

suter [353]

Answer:

Step-by-step explanation:

Please, if you're indicating exponentiation, use the symbol " ^ " to indicate it. Thanks.

The parent function here is f(x) = x^3.

g(x) = (x + 6)^3 has the same graph as does

f(x) = x^3, except that the entire graph of x^3 is translated 6 units to the left.

h(x) = -(x + 6)^3 has the same graph as

does g(x), except that the entire graph of g(x) is reflected in the x-axis.

The graph of h(x) = h(x) = –(x + 6)3 – 3 is the same as that of h(x) except that the entire graph is translated downward by 3 units.

8 0

2 years ago