Answer:
coefficient of x is 2
Step-by-step explanation:
genshin impact is the bestt
Answer:
The answer is below
Step-by-step explanation:
Don has four different chicken coops on his farm. He gathers eggs from each coop every day to sell at the local farmer's market each week. During one week in the summer, the production levels from the coops were compared. • The number of eggs from coop B can be found by subtracting 10 from coop A's production, and then multiplying this result by two-fifths. • The number of eggs from coop C can be found by adding 3 to coop A's production, multiplying this amount by 3, subtracting 4 from this total, and then dividing the whole result by 4. • The number of eggs from coop D can be found by adding 7 to coop A's production, doubling this amount and then dividing the result by 3. A. Define a variable for the number of eggs produced by coop A. Then write expressions for the number of eggs produced by the other coops. B. If coop A produced 125 eggs, how many did each of the other coops produce? C. If the sum of the number of eggs from coop B and coop C was 24 more than the number from coop D. How many eggs did each coop produce
Solution:
a) Let the number of eggs from coop A be w, number of eggs from coop B be x, number of eggs from coop C be y and number of eggs from coop D be z.
x = 2/5(w - 10) (1)
y = (3(w + 3) - 4)/4
y = (3w + 5) / 4 (2)
z = 2(w + 7)/3 (3)
b) Given that w = 125 eggs:
x = 2/5(125 - 10) = 46 eggs
y = (3(125) + 5) / 4 = 95 eggs
z = 2(125 + 7)/3 = 88 eggs
c) x + y = z + 24.
i.e. 2/5(w - 10) + (3w + 5)/ 4 = 2(w + 7)/3 + 24
multiply through by 60:
24w - 240 + 45w + 75 = 40w + 280 + 1440
69w - 165 = 40w + 1580
29w = 1885
w = 65 eggs
x = 2/5(65 - 10) = 22 eggs
y = (3(65) + 5) / 4 = 50 eggs
z = 2(65 + 7)/3 = 48 eggs
Answer:
see below
Step-by-step explanation:
g(x)=-2x+6
To find the y intercept set x = 0
g(0) = -2(0) +6
g(0) = 6
The y intercept is 6
(0,6)
To find the x intercept set y = 0
0 = -2(x) +6
Subtract 6 from each side
0-6 = -2x+6-6
-6 = -2x
Divide each side by -2
-6/-2 = -2x/-2
3 = x
The x intercept is 3
(3,0)
Answer: 8.4 feet
Step-by-step explanation:
In ΔFGH, the measure of ∠H=90°, the measure of ∠G=21°, and FG = 9 feet. Find the length of GH to the nearest tenth of a foot.
F
G
H
x
9
(opposite of ∠G)
(adj. to ∠G)
(hypotenuse)
21°
\text{What function uses the HYPOTENUSE and the ADJACENT?}
What function uses the HYPOTENUSE and the ADJACENT?
\text{SOH-CAH-TOA}
SOH-CAH-TOA
\cos G = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{x}{9}
cosG=
hypotenuse
adjacent
=
9
x
\cos 21=\frac{x}{9}
cos21=
9
x
9\cos 21=x
9cos21=x
Cross multiply.
x=8.4022\approx \mathbf{8.4}\text{ feet}
x=8.4022≈8.4 feet
Type into calculator and roundto the nearest tenth of a foot.
F
G
H
8.4
9
(opposite of ∠G)
(adj. to ∠G)
(hypotenuse)
21°
Answer: 1
y=1x-3
m=-3/-3=-1/-1=1