We can solve this problem using a method called substitution.
We will use two variables-x for the Type A and y for the Type B.
We already know that a total of 153 pounds was used. We will represent this using the equation x+y=153.
We also know that the Type A costs 5.80/pound, and the Type B costs 4.75. The total cost is 796.05.
We will use the equation 5.8x+4.75y=796.05.
We now have our two equations:
x+y=153
5.8x+4.75y=796.05
Next, we will use the first equation to isolate one of the variables. Let's isolate x.
We will isolate x by subtracting y from both sides of the equation.
We now have:
x=153-y
We will now plug this in for x in the second equation.
5.8(153-y)+4.75y=796.05
We get rid of the parentheses using the Distributive Property.
887.4-5.8y+4.75y=796.05
887.4-1.05y=796.05
-1.05y=-91.35
y=87
We now use this to solve for x.
5.8x+4.75y=796.05
5.8x+413.25=796.05
5.8x=382.8
x=66
Type A=66
Type B=87
Hope this helped!
Answer:
In these functions translation is used.
The transformation means that vertex of function m(s) is translated 18 units downwards.
Step-by-step explanation:
We have been given that average gas mileage m in miles per gallon for a compact car is modeled by m(s) = - 0.015(s - 47)2 +33 and mileage for an SUV is modeled by my(s) = -0.015(s - 47)2 + 15.
We can see that both functions are parabolic and opens downwards. The vertex of function m(s) is (47,33), while vertex of function my(s) is (47,15). We can describe this change by translation.
This transformation means that function m(s) is translated 18 units downwards and average mileage of SUV is 18 miles/hour lesser than compact car at equal speeds.
The first y is actually -30 bc a negative times a positive is always a negative
-30
45
0
-10
-40
(:
Answer:
yes
Step-by-step explanation:
Hello! these triangles are congruent because they meet the following criteria:
1) they have 3 sides which are the same(you can tell by the number of lines on each side that they are same)
2) they have the same angle
it does not matter if the triangle is flipped, the triangle still has the 3 same angles and sides hence its congruent
Answer:
Answer:
x=−1.27794
Step-by-step explanation:
x(x−5)2=x2−52
x3−10x2+25x=x2−52
Step 1: Subtract x^2-52 from both sides.
x3−10x2+25x−(x2−52)=x2−52−(x2−52)
x3−11x2+25x+52=0
Step 2: Use cubic formula.
x=−1.27794
Hope it helps +_+
