Divide a^2+7a+12/a+4
2 answers:
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Answer:
<em>The graph of </em>y + 1 = −3/5 (x − 4)<em> would be a straight line. The graph figure is attached below.</em>
Step-by-step explanation:
As the linear equation y + 1 = −3/5 (x − 4) is given.
Since y-y₁ = m (x - x₁) is the Point-slope form is the general form y-y₁=m(x-x₁) for linear equations.
Hence, from the linear equation we can determine the slop which is m = -3/5
Also, when we put x = 0 in the linear equation, we determine the y-intercept as follows:
y + 1 = −3/5 (x − 4)
y + 1 = -3/5(-4) ∵x = 0
y = 12/5 - 1
y = 7/5
y-intercept: 7/5
Hence,
Table for some points can be made for x and values as:
<h3><em>x y</em></h3>0<em> </em><em> 7/5</em>
<em>1 4/5</em>
<em />
<em>The graph of </em>y + 1 = −3/5 (x − 4)<em> would be a straight line. The graph figure is attached below.</em>
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<em>Keywords: graph, straight line</em>
<em>Learn more about graph of a straight line from brainly.com/question/11488685</em>
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Remember that to factoring by grouping, we should split the expression into tow pairs that have something in common. The idea is that after factoring each pair, we get a binomial common factor. Is worth pointing out that you can pair factors in more than one way.
Let's check how to determine the factors of our expression by grouping:
Step 1. Look for common multiples between the terms.
Notice that 4 and 8 are multiples of 2, 8 is a multiple of 4, and all of them are multiples of 1, so we are going to try more than one pairing combination.
Step 2. Look for common factors between the variables.
Usually, we want to pair variables with higher exponents so when we factor each pair, we end up with another common factor in binomial form.
Step 3. Factor each pair; if you end with another binomial common factor, you nailed it. If not, try again.
Les't apply our steps to our expression
Applying step 1, we are pairing and
. Remember to pair the remaining factors as well.
The common factor in the first pair is , so lets factor that out
Look! we have the binomial common factor . Unfortunately,
is not in our given choices, so let's try again:
This time we are going to group the higher variables (step 2) and
The common factor in the first pair is , and the common factor in the second one is -2, so let's factor out both of them:
This time, we got option A.
We can conclude that the correct answer is: A) x2(4x + 1) – 2(4x + 1)
Answer:
The container can hold 18 gallons
Step-by-step explanation:
Assume the container can hold x gallons
∵ The container is full with water
∵ It can hold x gallons
→ Multiply by x to find the number of gallons in the container
∴ The number of gallons in the container = x
∵ 4 gallons of water pouring out
∵ It is full
→ Multiply by x to find the number of gallons left in it
∴ The number of gallons left in the container = x
→ The difference between the numbers of gallons is 4 gallons
∵ x -
x = 4
→ Subtract the terms of the left side
∴ x = 4
→ Multiply both sides by 9
∴ 2x = 36
→ Divide both sides by 18
∴ x = 18
∵ x represents the full of the container
∴ The container can hold 18 gallons