MATHEMATICS MIDDLE SCHOOL

An auto mechanic charges $50 to diagnose a problem and $25 per hour to repair the problem. If x represents the total number of hours worked and y represents the total charges, which equation represents this situation?

Answers

Answer 1
Answer:

Answer:

y=25x + 50

Step-by-step explanation:

25 per hour(x) and 50 for the problem
Answer 2
Answer: y = 25x + 50 I believe is the answer.

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How do you solve this?

Answers

Solve\ x^4-13x^2=-36.

View this equation as a quadratic like so:
x^2(x^2)-13x(x)+36=0

We can factor just like a normal quadartic!
We want two numbers that multiply to 36x² and add to -13x.
These numbers are -9x and -4x.
Because our leading coefficient is 1, we can factor straight to (x²-4)(x²-9).
Here's what it would look like if we split the middle and factored:
x^4-9x^2-4x^2+36=0\nx^2(x^2-9)-4(x^2-9)=0\n(x^2-4)(x^2-9)=0

Of course, any value which causes either factor to equal zero is a solution.
The other factor times zero is still going to be zero, of course.
Let's derive these two possibilities from our equation.
x^2-4=0,\ or\ x^2-9=0
We can add that constant to the right side...
x^2=4,\ or\ x^2=9
And take the square root of each side.
\boxed{x=\pm2\ or\ \pm3}

So, your possible x values are
2, -2, 3, and -3.
x⁴-13x²+36
(x²-4)(x²-9)



x²=4. | x²=9
x=√4. |x=√9
x=2. |x=3




27x³-8=0
x³=8/27
x=2/3





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8 pencels cost 3.44 whates the unit rate of one pencil

Answers

The unit rate of one pencil is $0.43
3.44/8=0.34
One pencil costs $0.43, you just divide 3.44 by 8

You rode your bike 27 miles during the last month. Your total travel time was 3 hours. What was your average speed in miles per hour?

Answers

you divide 27 by 3 which equal 9

27÷3=9
You divide 27 by 3. Your answer would be 9mph

)The figure below shows parallel lines cut by a transversal: A pair of parallel lines is shown, cut by a transversal. Angle 1 is located in the upper right exterior corner on the top line, and angle 2 is located in the upper right corner of the bottom line.

Which statement is true about ∠1 and ∠2?


1 and 2 are complementary because they are a pair of corresponding angles
1 and 2 are congruent because they are a pair of corresponding angles
1 and 2 are complementary because they are a pair of alternate interior angles
1 and 2 are congruent because they are a pair of alternate interior angles

Answers

Answer-

1 and 2 are congruent because they are a pair of corresponding angles

Solution-

When two lines are crossed by another line (called the transversal), the angles in matching corners are called Corresponding Angles.

The parallel case-

If the transversal cuts across parallel lines, then corresponding angles have the same measure.

The non-parallel case-

If the transversal cuts across lines that are not parallel, the corresponding angles have no particular relationship to each other.

In the given diagram, 1 and 2 are a pair of corresponding angles. And as the two lines are parallel, so 1 and 2 are congruent.

Answer:

∠1 and ∠2 are congruent because they are a pair of corresponding angles.

Step-by-step explanation:

I need help with this

Answers

With what? Nothing is showing up?

What's an equivalent fraction for 10 15 by dividing

Answers

the correct answer is two thirds
Well you can see that 10/15 are both divisible by 5 so 10/5 =2 and 15/5 =3 so it equals 2/3.
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