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2 years ago

12

a bottle rocket that was made in science class has a trajectory path that followed the quadratic equation y equals negative x sq

uared + 4x + 6 what is the turning point of the Rockets

1 answer:

djyliett [7]2 years ago

6 0

Y= $-x^{2}$ +4x+6

Turning points occur when the gradient of the function is zero.
$\frac{dy}{dx} =$ -2x+4
Then equating to 0;
-2x+4=0
-2x=-4
x=2

From the fucntion, when x=2 ;
y= $-(2)^{2}+4(2) +6$
y=-8+8+6
y=6
Turning point;
(2,6)

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Question 2(Multiple Choice Worth 1 points) (07.01 MC) A box has 6 beads of the same size, but all are different colors. Tania dr

Diano4ka-milaya [45]

50/50, because there are three colors and 6 beads so...

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2 years ago

What is the answer? The glee club has 120 cupcakes to sell. they have decided to arrange the cupcakes in the shape of a rectangl

grin007 [14]

<span>Find the number of columns and rows of the cupcake in a rectangle shape with 120 pieces.
=> The row must ne even and the column must be add
=> 120 = 2 x 2 x 2 x 15
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Thus, the glee club will need to arrange the row of the rectangle shaped cupcake as 8 rows and the column as 15 columns.
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8 0

2 years ago

If f (x) = 5 x minus 25 and g (x) = one-fifth x + 5, which expression could be used to verify g(x) is the inverse of f(x)?

Vinil7 [7]

Answer:

The expression used to represent g(x) as inverse of f(x) is $\frac{1}{5}(5x-25)+5$

Option B is correct.

Step-by-step explanation:

We are given:

$f(x)= 5x-25\\g(x)=\frac{1}{5}x+5$

We need to find the expression that could be used to verify g(x) is the inverse of f(x).

We know that $g(f(x))=x$ is inverse of function

So placing value of f(x) in g(x)

$g(f(x))=\frac{1}{5}(5x-25)+5$

So, the expression used to represent g(x) as inverse of f(x) is $\frac{1}{5}(5x-25)+5$

Option B is correct.

We can also solve to prove that $g(f(x))=x$

$g(f(x))=\frac{1}{5}(5x-25)+5\\g(f(x))=\frac{5}{5}(x-5)+5\\g(f(x))=x-5+5\\g(f(x))=x$

5 0

1 year ago

Read 2 more answers

1. HELP Use front-end estimation to estimate the sum 8.86 + 9.43 + 5.75

marta [7]

Answer:

1. Option D.

2. Option A.

Step-by-step explanation:

1. You need to follow these steps in order to estimate the sum of $8.86 + 9.43 + 5.75$ :

Step 1: Add the digits in the ones places of the whole numbers (these are: 8, 9 and 5).

Step 2: Round the decimals to the nearest whole number:

$0.86\approx 1\\\\0.43\approx0\\\\0.75\approx1$

Step 3: Add them together:

$8+9+5+1+0+1=8+9+5+2=24$

2. The procedure to estimate the difference of $83.92-47.23$ is:

$83.92-\\47.23\\........\\40.00\\\ -4.00\\\ \ + 0.70\\-0.01\\...........\\+36.00\\+0\ 0.69\\..............\\36.69$

Rounded to the nearest whole number:

$36.69\approx 37$

5 0

2 years ago

Cary claimed that the expression − 5 + m − 5 + m is negative. Determine whether Cary's claim is always true, sometimes true, or

atroni [7]

Answer:

The given Expression is sometimes true.

Step-by-step explanation:

from the question,

The given expression by Cary is $-5 + m -5+ m$ .

So, solving the expression we get

⇒ $-10+2m$

Let $m$ is an integer.

Whenever,

(a) $m < 5$ { $m = 4,3,2,1,0,-1,-2.......................$ }

The given Expression always gives negative value.

(b) $m\geq 5$ { $m = 5,6,7,8,9.......................$ }

The given Expression always gives positive value.

Here, we get that the given Expression is not providing the Negative value always, that's why it is not always true and can't be never true.

Hence,

According to Cary's claimantion the given Expression is sometimes true.

5 0

2 years ago