Answer:
2/3 / 1/6
4/6 / 1/6
1/6 can go into 4/6 4 times. the answer is C; 4
Step-by-step explanation:
A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by C=0.3X^2+8,000. How fast is the cost per month changing when production is changing at the rate of 14 units per month and the production level is 70 UNITS?
Costs are ___ at the rate of $___ per month at this production level.
Answer:
Costs are changing at the rate of $588 per month at this production level.
Step-by-step explanation:
From the question, we have:
C = 0.3X^2 + 8,000 ........................ (1)
Differentiating equation (1) with respect to time, t, we have:
dC/dt = (0.3 * 2) X (dX/dt)....................... (2)
Where;
X = 70
dX/dt = 14
Substituting this into equation (2), we have:
dC/dt = (0.3 * 2) * 70 * 14
dC/dt = 588
This implies that costs are changing at the rate of $588 per month at this production level.
Divide. Give the quotient and the remainder
303÷4
Find f(-2)for f(x)-3 . 2^x
slope m=-2, point: (4,3)
Answer:
Step-by-step explanation:
(y - 3) = -2(x - 4)
y = -2x + 8 + 3
y = -2x + 11
pls give brainliest
Answer:
The the linear equation in point-slope form is
[tex]y-3 = -2 (x-4)[/tex]
Step-by-step explanation:
Given
slope = m = -2point (4, 3)We know that the point-slope form of the line equation is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
Here:
m is the slope(x₁, y₁) is the pointsubstituting the values m = -2 and the point (4, 3) in the point-slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-3 = -2 (x-4)[/tex]
Thus, the the linear equation in point-slope form is
[tex]y-3 = -2 (x-4)[/tex]
Note: This equation could be further simplified to write it in the slope-intercept form
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
so writing the equation in the slope-intercept form
[tex]y-3 = -2 (x-4)[/tex]
[tex]y-3 = -2x+8[/tex]
[tex]y=-2x+8+3[/tex]
[tex]y=-2x+11[/tex]
Thus, the equation is the slope-intercept form is
[tex]y=-2x+11[/tex]Given f(x) = 2x2 – 3x + 7, find f(2.5)
Answer:
f(2.5)=3.5
Step-by-step explanation:
f(x)=2×2-3x+7
So,
f(2.5)=2×2-3×2.5+7
=4-7.5+7
=11-7.5
=3.5
Hope it will help you
sally has 2/8 cookies in a jar she ate 1/4 how many dose she have left :explain
Answer:
1.5 cookies if 2/8 is like 2 cookies out of 8, 1/16 if its like 2/8 of a cookie
Step-by-step explanation: \
1.5: 2 x 3/4 (already ate 1/4) = 1.5
1/16= 1/4 (2/8 reduced) x 1/4
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
Answer:
x^2 + 11x + 24
Step-by-step explanation:
x^2 + 3x + 8x + 24 =
= x^2 + 11x + 24
Help don’t understand
Write an recursive rule for the sequence 7,14,21,28
Can someone help pls !
Answer:
(B). [tex]A_{y}[/tex] = [tex]\left[\begin{array}{cc}12&7\\17&-51\end{array}\right][/tex]
Step-by-step explanation:
12x - 13y = 7
17x - 22y = - 51
A = [tex]\left[\begin{array}{cc}12&-13\\17&-22\end{array}\right][/tex]
[tex]A_{x}[/tex] = [tex]\left[\begin{array}{cc}7&-13\\-51&-22\end{array}\right][/tex]
[tex]A_{y}[/tex] = [tex]\left[\begin{array}{cc}12&7\\17&-51\end{array}\right][/tex]
HURRY PLEASE?!
Determined to finish her milkshake before Diego, Lin now drinks her 12 ounce milkshake at a rate of 13 an ounce per second. Diego starts with his usual 20 ounce milkshake and drinks at the same rate as before, 23 an ounce per second.
Below is a graph of this system.
After how many seconds do both Diego and Lin have the same amount of milkshake left?
[ Select ]
How many ounces do both Diego and Lin have left of their milkshakes at that point?
[ Select ]
Answer: 24 seconds
4 ounces
Answer:
24 seconds and 4 ounces
Step-by-step explanation:
The point where both lines meet is the point where they are both equal.
The point where both lines meet is (24,4)
Since the x-axis represents seconds the x-coordinate will represent the number of seconds it takes for them to be equal which is 24.
Since the y-axis represents ounces the y-coordinate will represent the number of ounces they have when they are equal which is 4.