Amira is told there is a trick to finding the slope within an equation in standard form, Ax+By=C. She is told she can rewrite this equation in slope-intercept form, y=mx+b, to find the pattern. She correctly rewrites the equation 7x+9y=14 in slope-intercept form as y=− 7/9x +14/9. Which answer explains the pattern for how to find the slope using an equation in standard form?A. In slope-intercept form, the slope is 14/9. These values are C and A, but with the opposite sign, so the slope of the line from the equation in standard form is − C/A.

B. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − A/B.

C. In slope-intercept form, the slope is 14/9. These values are C and B, but with the opposite sign, so the slope of the line from the equation in standard form is − C/B.

D. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − B/A.

Answers

Answer 1
Answer:

Answer:

B. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − A/B.

Step-by-step explanation:

Let's convert the standard equation into slope-intercept form:

  • Ax + By = C              ⇒ subtract Ax from both sides
  • By = -Ax + C             ⇒ divide both sides by B
  • y = -A/Bx + C/B        ⇒ converted to slope- intercept form

As we see the slope is -A/B

The equation 7x + 9y = 14 is converted as:

  • y = -7/9x + 14/9, where the slope is -7/9

Looking at the answer options and the correct one is option B, where both identification of slopes match.

  • B. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − A/B.


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The maximum weight allowed per car on The Wildcat carnival ride is 221 pounds. Your friend weighs 60 pounds. To be able to ride in a car together, how much can you weigh? Write and solve an inequality.x – 60 inequality-lessthanorequalto 221; at most 60 pounds x + 60 inequality-lessthanorequalto 221; at most 161 pounds x + 161 inequality-lessthanorequalto 221; at most 60 pounds x + 60 inequality-lessthanorequalto 161; at most 221 pounds
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If a sequence is defined recursively by f(0)=2 and f(n+1)=-2f(n)+3 for n is greater than or equal to 0, then f(2) is equal to...?

Answers

We start with f(0) = 2, we can use this value to find out the next value f(1) in our relation.

 f(1) = -2 f(0)+3 = -2(2) + 3 =- 4 +3 =-1 Now we know f(1) we can work out f(2):

f(2) = -2 f(1)+3 = -2( -1)+3 = 2 +3 = 5.

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Michael loves to run. It takes him 25.3 minutes to complete a 10 mile run. At this rate, how long would it take him to run 16 miles?

Answers

Answer:

0.632

Step-by-step explanation:

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Solve 3x+1
(not on a graph do it using algebra)
no jokes you will be deleted

Answers

Final answer:

To solve the equation 3x + 1 algebraically, subtract 1 from both sides and then divide both sides by 3. The solution is x = -1/3.

Explanation:

To solve the equation 3x + 1 algebraically, you need to isolate the variable x. Let's go step-by-step:

  1. Subtract 1 from both sides of the equation: 3x + 1 - 1 = 0 - 1. This simplifies to 3x = -1.
  2. Divide both sides of the equation by 3 to solve for x: \(\frac{3x}{3} = \frac{-1}{3}\). This simplifies to x = -\frac{1}{3}.

So, the solution to the equation 3x + 1 = 0 is x = -\frac{1}{3}. This means that when you substitute x = -\frac{1}{3} into the equation, both sides will be equal.

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The American novel began to develop in the eighteenth century. a. True b. False

Answers

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During harvesting season at Florida Blue Farms, hand pickerscollect about 200 pounds of blueberries per day with a 95%
pack-out rate. The blueberry harvester machine collects about
22,000 pounds of blueberries per day with a 90% pack-out rate.
The pack-out rate is the percentage of collected blueberries
that can be packaged to be sold, based on Florida Blue Farms'
quality standards.
Let h represent the number of days the hand pickers work and
m represent the number of days the harvester machine is used.
Which of the following algebraic expressions can be used to
estimate the amount of collected blueberries that are packed at
the Florida Blue Farms for fresh consumption this season?


A (0.95h+200)(0.90+22000)

B 0.95(200h)+0.90(22000m)

C 200.95h+22000.90m

D (200h+0.95)(22000m+0.90)

Answers

The farm uses two harvesting tools for packages that needs to be sold. So, we have to consider the rates of both harvest tools and the number of harvest by both tools. The algebraic expression is: 0.95(200h) + 0.90(22000m)

Given that

h \to days of hand pickers word

m \to days harvester machine is used

n_h = 200 --- pounds of hand pickers

n_m = 22000 -- pounds of harvester

r_h = 95\% -- pack out rate of hand pickers

r_m = 90\% -- pack out rate of harvester

The expression to estimate the amount is calculated as:

Amount = r_h * n_h + r_m * n_m --- i.e. pounds of hand picker * its pack out rate + pounds of harvester * its pack out rate

So, we have:

Amount = 95\% * 200h + 90\% * 22000m

Express as decimal

Amount = 0.95 * 200h + 0.90 * 22000m

Rewrite as:

Amount = 0.95(200h) + 0.90(22000m)

Hence, option (b) is correct.

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In basketball, Shaquille makes 40% of his free throw attempts. He goes to the free throw line to shoot one-and-one (if he makes the first shot, he gets to shoot one more). He scores 1 point per free throw. What is the expected value of the number of points he will score?

Answers

This question is a little bit tricky. Anyway, the best answer to the question would be 2 points. The expected value of the number of points he will score would be two points in every successful free throw attempt he makes. It just has a probability of .40 - which means that ,say,  in 10 free throw shots, there's a tendency he will only make 4 of them.

Answer:

4 he makes 4 shots.

Step-by-step explanation:

if there are 40% and his shots equal 1 the answer is 4.