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3 years ago

12

10) pls help i’ll give 20 points :)

1 answer:

NikAS [45]3 years ago

3 0

Answer: The blank space in the equation is 4.

Step-by-step explanation: -6 x +2 is -12. -48/-12 is 4. Therefore, the blank space in the equation is 4.

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Emily kicked the ball in 1 straight direction , it went 10 ft reversed direction and come back to her , how is this possible ?

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Answer:

She kicked it up

Step-by-step explanation:

How is this math?

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3 years ago

Read 2 more answers

et f(x) = x + |2x − 3|. Find all solutions to the equation f(x) = 12. (Enter your answers as a comma-separated list. If an answe

Alinara [238K]

Answer:

1. {5,-9}

2.{4}

3.{9/2}

Step-by-step explanation:

The equation $f(x)=x+\lvert 2x-3 \rvert=12$ can be solved as follows:

$x+\lvert 2x-3 \rvert =12\,\,\,\text{(given equation)}$

$\lvert 2x-3 \rvert =12-x$

$2x-3=12-x\,\,\text{or}\,\,2x-3=-(12-x)$

$3x=15\,\,\text{or}\,\,\x=-9$

Then, the solutions of the equation are $x=5, x=-9$ .

Now, if $g(x)=5x-3+\lvert x+4\rvert$ , we can solve the equation $g(a)=4a+9$ as follows:

$5a-3+\lvert a+4 \rvert =4a+9$

$\lvert a+4\rvert =4a+9-5a+3$

$a+4 =-a+12\,\,\text{or}\,\,a+4=-(-a+12)$

$2a=8\,\,\text{or}\,\,4=12$

So, the unique solution of this last equation is $a=4$

The last equation is $h(x-1)=x-3$ , where $h(x)=\lvert x \rvert -2x+5.$ . To solve this equation we can proceed as follows:

$h(x-1)=x-3$

$\lvert x-1\rvert -2(x-1)+5=x-3$

$\lvert x-1 \rvert -2x+2+5=x-3$

$\lvert x-1\rvert =3x-10$

$x-1=3x-10\,\,\text{or}\,\,x-1=-(3x-10)$

$-2x=-9\,\,\text{or}\,\,4x=11$

$x=9/2\,\,\text{or}\,\,x=11/4$

But, x=11/4 is not a solution of this equation. So the unique solution is x=9/2.

8 0

2 years ago

4y<br> p(y) => + 5. If y = 4, then what is the value of p(y)?<br> 9<br> 7<br> 13<br> 37

Leni [432]

9514 1404 393

Answer:

C. 13

Step-by-step explanation:

Put 4 where y is in the equation and do the arithmetic.

$p(y)=\dfrac{4y}{2}+5\\\\p(4)=\dfrac{4(4)}{2}+5 = \dfrac{16}{2}+5=8+5\\\\\boxed{p(4)=13}$

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