You are right on the answer
![\bf ~\hspace{10em}\textit{function transformations} \\\\\\ \begin{array}{llll} f(x)= A( Bx+ C)^2+ D \\\\ f(x)= A\sqrt{ Bx+ C}+ D \\\\ f(x)= A(\mathbb{R})^{ Bx+ C}+ D \end{array}\qquad \qquad \begin{array}{llll} f(x)=\cfrac{1}{A(Bx+C)}+D \\\\\\ f(x)= A sin\left( B x+ C \right)+ D \end{array} \\\\[-0.35em] ~\dotfill\\\\ \bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\ \bullet \textit{ flips it upside-down if } A\textit{ is negative}\\ ~~~~~~\textit{reflection over the x-axis}](https://tex.z-dn.net/?f=%5Cbf%20~%5Chspace%7B10em%7D%5Ctextit%7Bfunction%20transformations%7D%20%5C%5C%5C%5C%5C%5C%20%5Cbegin%7Barray%7D%7Bllll%7D%20f%28x%29%3D%20A%28%20Bx%2B%20C%29%5E2%2B%20D%20%5C%5C%5C%5C%20f%28x%29%3D%20A%5Csqrt%7B%20Bx%2B%20C%7D%2B%20D%20%5C%5C%5C%5C%20f%28x%29%3D%20A%28%5Cmathbb%7BR%7D%29%5E%7B%20Bx%2B%20C%7D%2B%20D%20%5Cend%7Barray%7D%5Cqquad%20%5Cqquad%20%5Cbegin%7Barray%7D%7Bllll%7D%20f%28x%29%3D%5Ccfrac%7B1%7D%7BA%28Bx%2BC%29%7D%2BD%20%5C%5C%5C%5C%5C%5C%20f%28x%29%3D%20A%20sin%5Cleft%28%20B%20x%2B%20C%20%5Cright%29%2B%20D%20%5Cend%7Barray%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cbullet%20%5Ctextit%7B%20stretches%20or%20shrinks%20horizontally%20by%20%7D%20A%5Ccdot%20B%5C%5C%5C%5C%20%5Cbullet%20%5Ctextit%7B%20flips%20it%20upside-down%20if%20%7D%20A%5Ctextit%7B%20is%20negative%7D%5C%5C%20~~~~~~%5Ctextit%7Breflection%20over%20the%20x-axis%7D)
with that template in mind, let's see
down by 5 units, D = -5
to the left by 4 units, C = +4
The answer is
carrots - 0.8 pounds
crackers - 1.5 pounds
x - the weight of carrots
y - the weight of crackers
<span>The total weight was 2.3 pounds: x + y = 2.3
</span>
Carrots sell for $2.10 per pound: 2.10x
<span>Crackers sell for $2.90 per pound: 2.90y
</span><span>The total cost was $6.03: 2.10x + 2.90y = 6.03
</span>x + y = 2.3
2.10x + 2.90y = 6.03
_________
x = 2.3 - y
2.10x + 2.90y = 6.03
_________
2.10(2.3 - y) + 2.90y = 6.03
4.83 - 2.10y + 2.90y = 6.03
4.83 + 0.80y = 6.03
0.80y = 6.03 - 4.83
0.80y = 1.20
y = 1.20y : 0.80
y = 1.5 pounds
x = 2.3 - y = 2.3 - 1.5
x = 0.8 pounds
Answer:
39.53 ft^2
Step-by-step explanation:
We can find the area of the rectangle
A = l*w
= 12*3 = 36
And the area of the semicircle
A = 1/2 pir^2
The diameter is 3, the radius is 3/2
=1/2 pi* (3/2)^2
= 1/2 *3.14 * 9/4
3.5325
Add the two areas together
36+3.532539.5325
Rounding to the nearest hundredth
39.53 ft^2
Answer:
the statements given above are true.
Step-by-step explanation:
Given that Frederick designed an experiment in which he spun a spinner 20 times and recorded the results of each spin.
He spun a 4 five times.
The statements true are:
i) For the experimental outcomes to be closer to the predicted outcome, the number of trials should be increased.
iii) If the number of trials is changed, the experimental probability also changes.
iv) If the number of trials is changed, the predicted number of outcomes also changes.
v) If the number of trials is changed, the number of experimental outcomes also changes.
