Answer:
a = -2
Simplifying 5 + -2(4a + 1) + 3a = 13 Reorder the terms: 5 + -2(1 + 4a) + 3a = 13 5 + (1 * -2 + 4a * -2) + 3a = 13 5 + (-2 + -8a) + 3a = 13 Combine like terms: 5 + -2 = 3 3 + -8a + 3a = 13 Combine like terms: -8a + 3a = -5a 3 + -5a = 13 Solving 3 + -5a = 13 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5a = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -5a = 13 + -3 -5a = 13 + -3 Combine like terms: 13 + -3 = 10 -5a = 10 Divide each side by '-5'. a = -2
To solve problem 19, we must remember the order of operations. PEMDAS tells us that we should simplify numbers in parentheses first, exponents next, multiplication and division after that, and finally addition and subtraction. Using this knowledge, we can begin to simplify the problem by working out the innermost set of parentheses:
36 / [10 - (3-1)²]
36 / [10 - (2)²]
Next, we should still simplify what is inside the parentheses but continue to solve the exponents (the next letter in PEMDAS).
36/ (10-4)
After that, we should compute the subtraction that is inside the parentheses.
36/6
Finally, we can solve using division.
6
Now, we can move onto problem 20:
1/4(16d - 24)
To solve this problem, we need to use the distributive property, which allows us to distribute the coefficient of 1/4 through the parentheses by multiplying each term by 1/4.
1/4 (16d-24)
1/4(16d) - 1/4(24)
Next, we can simplify further by using multiplication.
4d - 6
Therefore, your answer to problem 19 is 6 and the answer to problem 20 is 4d -6.
Hope this helps!
The list of equations is shown in the picture which equation has No Solution, One Solution, and Infinitely Many Solutions.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have given a linear equation in one variable.
After solving:
y = 5.40 (one solution)
After solving:
(Infinitely Many Solutions)
3z + 2.5 = 3.2 + 3z
2.5 = 3.2 (no solution)
Similarly, we can identify which equation has No Solution, One Solution, and Infinitely Many Solutions.
Thus, the list of equations is shown in the picture which equation has No Solution, One Solution, and Infinitely Many Solutions.
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Answer:
Imani traveled faster because her distance surpassed Linda's distance after the fourth hour.
Step-by-step explanation:
1. Understand the slope:
Ok, so the slope basically tells us how fast Imani and Linda traveled, so if we solve for the slope we know how fast Imani and Linda traveled.
2. Find Linda's slope:
- Take any two points: (0,10) and (1, 65).
Slope = (<u>y1 - y2)/(x1 - x2)</u>
<u> </u> = (65-10)/(1-0)
= 55
Since the slope is 55, we know her speed is 55 miles per hour.
2. Find Imani's slope:
- Take any two points: (0,0) and (1, 60).
Slope = (<u>y1 - y2)/(x1 - x2)</u>
<u> </u> = (60-0)/(1-0)
= 60
Since the slope is 60, we know her speed is 60 miles per hour.
3. Compare: Since 60>55, we know Imani traveled faster. If we look at options, we can see there's only one answer which shows that Imani traveled faster, so that must be the answer.
The modified r squared tells us more about the relationship among sales, price, as well as advertising by explaining approximately 60% of a variance in sales.
<h3>Define the term adjusted r squared?</h3>
R-squared (R2) would be a statistical measure that quantifies the proportion of the variation explained from an independent variable other variables within a regression model for a dependent variable.
- R-squared describes how much the variance with one variable describes the variance of the other.
- So, if a model's R2 is 0.50, the model's inputs can explain roughly half of a observed variation.
- A score of 70 to 100 shows that a specific portfolio closely reflects the underlying stock index, whereas a score of 0 to 40 indicates a relatively poor correlation the with index.
- Higher R-squared scores also suggest that beta measurements are more reliable. The volatility of either a security or portfolio is measured by beta.
Thus, the modified r squared tells us more about the relationship among sales, price, as well as advertising by explaining approximately 60% of a variance in sales.
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