9514 1404 393
Answer:
(x, y) = (-3, -13) or (-8, -23)
Step-by-step explanation:
The values for y can be equated and the resulting quadratic solved by factoring.
2x -7 = x^2 +13x +17
0 = x^2 +11x +24 . . . . . . subtract 2x-7
0 = (x +8)(x +3) . . . . . . . .factor*
The values of x that make these factors zero are x=-8 and x=-3. The corresponding values of y are ...
y = 2(-8) -7 = -23
y = 2(-3) -7 = -13
The solutions are ...
(x, y) = (-8, -23) and (-3, -13)
_____
* The constants in the binomial factors are factors of 24 that total 11. You know that ...
24 = 1×24 = 2×12 = 3×8 = 4×6
The sums of these factors are 25, 14, 11, 10. The factors 3 and 8 are the constants in the binomial factors of the quadratic.
"24" is the constant in the quadratic. "11" is the coefficient of the x term.
Answer:
300 %
Step-by-step explanation:
Length of the larger cube =4 cm
So volume
Length of the smaller cube = 1 cm
Volume of the smaller cube
So total number of smaller cube
Surface area of the larger cube
Surface area of the 64 smaller cube
So percentage increase in surface area %
131/5 divided by 11/1
to divide by fractions, you multiply by the reciprocal and the reciprocal of 11/1 is 1/11...
131/5•1/11 and you just multiply across so the answer is every 131/55 miles. if you want it as a mixed number, it's 2 21/55
Answer:
picture ?
Step-by-step explanation:
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Answer:
Let's solve your equation step-by-step.
3 / 4 y = 9
Step 1: Multiply both sides by 4/3.
(4 / 3 ) * ( 3 / 4 y ) = ( 4 / 3 ) * ( 9 )
y = 12
Answer:
y = 12
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Insert 12 to the y value:
3 / 4 ( 12 ) = 9
9 = 9
True
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