<em>Answer:</em>
<em>In my opinion the answer is </em><em><u>y = 6</u></em>
<em>Step-by-step explanation:</em>
<em>We have two unknowns from the equation therefore, two equations are needed. These equations are:
</em>
<em>
</em>
<em>3x + y = 9 </em>
<em>y = –4x +10 </em>
<em>
</em>
<em>To solve for y, we first substitute the second equation to the first one.
</em>
<em>3x + –4x +10= 9 </em>
<em>x = 1
</em>
<em>
</em>
<em>We substitute the value of x to either of the equations and solve for y.
</em>
<em>
</em>
<em>y = –4(1) +10 </em>
<em>y = 6</em>
2a) if 1 ft³ weighs 150 lb==>the TOTAL VOLUME =5,000/150 =33.334 ft³
2b) 1 ft³ 1,728 in³. So the TOTAL volume in in³ =33.334 x 1728 = 57,600 in³
c) Volume =(1/3)(πR²).H but R = H then V= (1/3)(πR³).plug V (=57600)
57,600 = 1/3 (πR³) ==> R³ = (3 x 57600) / π ==> R = 38 in
d) Area x thickness = Volume ==> Area x 2 in = 57600 in then:
Are =57600/2 & Area =28,800 in²
Answer:
a) 5.9
b) 4.2
Step-by-step explanation:
Plot the data points on the number line (see attached).
<u>Part (a)</u>
![\begin{aligned}\textsf{Distance between Ben and Kloee} & = \sf \left| Ben - Kloee \right|\\& = \sf \left|-2.65-3\frac{1}{4}\right|\\& = \sf \left|-2.65-3.25\right|\\& = \sf \left|-5.9\right|\\& = \sf 5.9\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Ctextsf%7BDistance%20between%20Ben%20and%20Kloee%7D%20%26%20%3D%20%5Csf%20%5Cleft%7C%20Ben%20-%20Kloee%20%5Cright%7C%5C%5C%26%20%3D%20%5Csf%20%5Cleft%7C-2.65-3%5Cfrac%7B1%7D%7B4%7D%5Cright%7C%5C%5C%26%20%3D%20%5Csf%20%5Cleft%7C-2.65-3.25%5Cright%7C%5C%5C%26%20%3D%20%5Csf%20%5Cleft%7C-5.9%5Cright%7C%5C%5C%26%20%3D%20%5Csf%205.9%5Cend%7Baligned%7D)
<u>Part (b)</u>
![\begin{aligned}\textsf{Distance between Middle school and Football field} & = \sf \left| Middle\:school-Football\:field\right|\\& = \sf \left| 1.5-5.7\right|\\& = \sf \left| -4.2 \right|\\& = \sf 4.2\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Ctextsf%7BDistance%20between%20Middle%20school%20and%20Football%20field%7D%20%26%20%3D%20%5Csf%20%5Cleft%7C%20Middle%5C%3Aschool-Football%5C%3Afield%5Cright%7C%5C%5C%26%20%3D%20%5Csf%20%5Cleft%7C%201.5-5.7%5Cright%7C%5C%5C%26%20%3D%20%5Csf%20%5Cleft%7C%20-4.2%20%5Cright%7C%5C%5C%26%20%3D%20%5Csf%204.2%5Cend%7Baligned%7D)
Answer:
B, 1 thousand feet is the answer.
Answer:
x-intercepts: (2,0), (4,0)
y-intercepts: (0,-8)
Explanation:
To find the x intercept(s), you must compute where y=0. So solve 0= -x^2 + 6x - 8. So, the x intercepts are: (2,0) and (4,0) since the solutions to the mentioned equation are x=2 and x=4. To find the y intercept(s) compute what is y when x=0. In this case, when x=0, y=-8. So the only y intercept is (0,-8).