The old rate of pay is x and the new rate is y then we have:
y = 2x + 7
Y = 21
PART 1: 21 = 2x+7
Subtract 7 from each side:
14 = 2x
Divide both sides by 2:
X = 14 / 2
X = 7
PART 2: The internship pays $7 per hour.
The sum of the two <em>rational</em> equations is equal to (3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²).
<h3>How to simplify the addition between two rational equations</h3>
In this question we must use <em>algebra</em> definitions and theorems to simplify the addition of two <em>rational</em> equations into a <em>single rational</em> equation. Now we proceed to show the procedure of solution in detail:
- (n + 5) / (n² + 3 · n - 10) + 5 / (3 · n²) Given
- (n + 5) / [(n + 5) · (n - 2)] + 5 / (3 · n²) x² - (r₁ + r₂) · x + r₁ · r₂ = (x - r₁) · (x - r₂)
- 1 / (n - 2) + 5 / (3 · n²) Associative and modulative property / Existence of the multiplicative inverse
- [3 · n² + 5 · (n - 2)] / [3 · n² · (n - 2)] Addition of fractions with different denominator
- (3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²) Distributive property / Power properties / Result
To learn more on rational equations: brainly.com/question/20850120
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Answer:
1.5 seconds
Step-by-step explanation:
plug 0 in for y
0=-16t^2+36
then slove for t
-36=-16t^2
-36 / -16 = 9/4
9/4=t^2
square root of 9/4 is 3/2 or 1.5
t=1.5
The sequence of transformations was Triangle ABC was reflected over the y-axis and then translated 2 units up and 2 units to the right.
<h3>What is a
transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Rigid transformation is the transformation that does not change the shape or size of a figure. Examples of rigid transformations are <em>translation, reflection and rotation</em>.
Find out more on transformation at: brainly.com/question/4289712
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This seems like a concept you’re going to learn and use so I’ll do a problem per section and explain.
Well basically this is a concept: if it’s a negative exponent it’s just 1/number^exponent.
So for example:
#1. 1/(10)^2 = 10^-2
The standard notation:
#9: You know that 1/(10)^3 you could either put it in a calculator or realize that you take the number 1, and move the decimal to the left three times. 0.001 would be the answer.
Scientific notation:
combines these topics. Let’s take #17. 0.025. Scientific notation means you write it as a number multiplied by 10^? So let’s see how many places you can move the decimal to get a number without the zeros.
0.025 => move it two places to the right. So that’s 2.5. Now 2.5 multiplied by what 10^? Would give you 0.025? It would be 10^-2. So your answer would be 2.5 x 10^-2.
For all of these, use your knowledge of the power of tens and dividing by tens! ^^ you got this. Let me know if you need help after this explanation.
