1 year ago

Drag the tiles to the correct boxes. Not all tiles will be used.

Mathematics

1 answer:

Margaret [11]1 year ago

7 0

(x2 + 3x) + (-8x - 24)

x2 + 3x - 8x - 24

x(x + 3) - 8(x+3)

(x - 3)(x + 8)

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Three consecutive integers have a sum of 168. What is the value of the largest integer

Svet_ta [14]

Largest integer: 57

x + x + 1 + x + 2 = 168
3x + 3 = 168
-3 -3
3x = 165
/3 /3
x = 55

x = smallest integer = 55
x + 1 = middle integer = 55 + 1 = 56
x + 2 = largest integer = 55 + 2 = 57

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3 years ago

What are the potential solutions to the equation 2ln(x+3)=0

skad [1K]

$2\ln(x+3)=0\implies \ln(x+3)^2=0\implies e^{\ln(x+3)^2}=e^0\implies (x+3)^2=1$

Expanding the left side gives

$x^2+6x+9=1\implies x^2+6x+8=0\implies (x+4)(x+2)=0$

which gives two solutions, $x=-4$ and $x=-2$ . But if $x=-4$ , then $\ln(x+3)=\ln(-1)$ , but this number isn't real, so $x=-4$ is an extraneous solution. Meanwhile if $x=-2$ , you get $\ln(-2+3)=\ln1=0$ , so this solution is correct.

"Potential solutions" might refer to both possibilities, but there is only one actual (real) solution.

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3 years ago

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2 years ago

Select all of the situations below that can be modeled by the expression 4 + 3x.

Hatshy [7]

Answer:

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