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Alika [10]
3 years ago
8

Choose the best definition for the following phrase: combining like terms (1 point)

Mathematics
1 answer:
dalvyx [7]3 years ago
7 0
It would be the 2nd object or letter B
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What is the solution to sqrt 17-x=x+3? Show your work.
snow_lady [41]

Answer:

x=1

Step-by-step explanation:

Remember:

(\sqrt[n]{a})^n=a\\\\(a+b)=a^2+2ab+b^2

Given the equation \sqrt{17-x}=x+3, you need to solve for the variable "x" to find its value.

You need to square both sides of the equation:

(\sqrt{17-x})^2=(x+3)^2

17-x=(x+3)^2

Simplifying, you get:

17-x=x^2+2(x)(3)+3^2\\\\17-x=x^2+6x+9\\\\x^2+6x+9+x-17=0\\\\x^2+7x-8=0

Factor the quadratic equation. Find two numbers whose sum be 7 and whose product be -8. These are: -1 and 8:

(x-1)(x+8)=0

Then:

x_1=1\\x_2=-8

Let's check if the first solution is correct:

\sqrt{17-(1)}=(1)+3

4=4 (It checks)

Let's check if the second solution is correct:

\sqrt{17-(-8)}=(-8)+3

5\neq-5 (It does not checks)

Therefore, the solution is:

x=1

3 0
3 years ago
T-shirts and More Print Shop will print any image on a mouse pad for a cost of $2 per mouse pad and a one-time charge of $12 to
Anna35 [415]

Answer:

275 mouse pads were printed

Step-by-step explanation:

562 - 12 = 550

550/2 = 275

4 0
3 years ago
Which set of equations would have infinitely many solutions? JUSTIFY your answer in #4.
Ierofanga [76]

Answer:

2nd option: 2y=6x+8 and y=3x+4

Step-by-step explanation:

If you divide the first by 2, you get the second equation.

This means that both equations plot an identical line (they lie on top of each other /also known as "coincide"). This means, that there are infinitely many solutions.

In 2D (x-y plane for example), straight lines can have no solutions if they have the same gradient/slope/ they are parallel and different y-intercepts, because they will never cross.

Here, they have same gradient and y-intercept so all points on the line are valid solutions to the equation

7 0
2 years ago
Write 17/9 as a decimal
denis23 [38]
Divide 17 by 9
1.8888
6 0
3 years ago
Read 2 more answers
Suppose an interdisciplinary committee of 3 faculty members is to be selected from a group consisting of 4 men and 5 women. the
yaroslaw [1]

you answer to the problem is 3/9

6 0
3 years ago
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