Answer: B.
Step-by-step explanation:
Let's solve your system by elimination.
4x−2y=8;−2x+2y=6
Add these equations to eliminate y:
4x-2y=8
-2x+2y=6
2x=14
Substitute 7 for x in 4x−2y=8:
(4)(7)−2y=8
−2y+28=8 (Simplify both sides of the equation)
−2y+28+−28=8+−28 (Add -28 to both sides)
−2y=−20
−2y/−2=−20/−2 (Divide both sides by -2)
y=10
The question is not well formatted. A ell formatted version of the question type is attached and solved below :
Answer:
10
Step-by-step explanation:
Using trigonometry :
Taking the angle 45°
From trigonometry :
Sin θ = opposite / hypotenus
Opposite = s ; hypotenus = 10√2
Sin 45 = s / 10√2
Recall :
Sin 45 = 1/√2
We have ;
1/√2 = s / 10√2
s = 10√2 * 1/√2
s = 10√2 / √2
s = 10
Find the total cost of producing 5 widgets. Widget Wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x. The company also discovered that it costs $15.50 to produce 3 widgets, $23.50 to produce 7 widgets, and $56 to produce 12 widgets.
OK...so we have
a(7)^2 + b(7) + c = 23.50 → 49a + 7b + c = 23.50 (1)
a(3)^2 + b(3) + c = 15.50 → 9a + 3b + c = 15.50 subtracting the second equation from the first, we have
40a + 4b = 8 → 10a + b = 2 (2)
Also
a(12)^2 + b(12) + c = 56 → 144a + 12b + c = 56 and subtracting (1) from this gives us
95a + 5b = 32.50
And using(2) we have
95a + 5b = 32.50 (3)
10a + b = 2.00 multiplying the second equation by -5 and adding this to (3) ,we have
45a = 22.50 divide both sides by 45 and a = 1/2 and using (2) to find b, we have
10(1/2) + b = 2
5 + b = 2 b = -3
And we can use 9a + 3b + c = 15.50 to find "c"
9(1/2) + 3(-3) + c = 15.50
9/2 - 9 + c = 15.50
-4.5 + c = 15.50
c = 20
So our function is
c(x) = (1/2)x^2 - (3)x + 20
And the cost to produce 5 widgets is = $17.50
Answer:
Step-by-step explanation:
we know that
In the right triangle ABC
The function sine of angle 68 degrees is equal to divide the opposite side SB by the hypotenuse AC
so
substitute the values and solve for AC
she will need to mow 8 yards because 109 divided by 15 equals 7.2 but she cant just mow 7.2 yards so you round up to 8 yards
