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algol [13]
3 years ago
9

Yesterday Chang planted 6 trees that were each 8 feet tall in his yard. Chang projects the trees to grow at the following annual

rates over the next 5 years
Mathematics
1 answer:
spayn [35]3 years ago
3 0

Answer:

Sugar Maple

8 + 1.5x = 15.5

Fraser Fir

8 + 0.25x = 9.25

Sycamore

8 + 2.5x = 12.5

Oak

8 + 4x = 28

It <u>cannot</u> be <em>Red Maple</em> or <em>Linden</em>, because they are multiplying the number of years by the height it already has. We are looking for the height it <u>will have</u> BASED on the <u>rate</u> that Chang calculated.

Therefore, we are multiplying the <u>RATE</u> by the <u>NUMBER OF YEARS (x)</u>

Step-by-step explanation:

It cannot be red maple, because you are multiplying the height it already has, and not the rate it will grow by. The same goes for Linden.  

The right expression to represent the growth of Red Maple would be

8 + 3x = 23

The right expression to represent the growth of Linden would be

8 + 1.5x = 15.5

Therefore, again, the <u>correct answer(s)</u> would be: <u>Sugar Maple, Fraser Fir, Sycamore, and Oak</u>.

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Solve: x + 1 &lt; 5<br>Me confused and need help ​
natita [175]

Answer: x < 4

Step-by-step explanation: You are trying to isolate the variable, x, so you have to subtract 1 on both sides of the inequality. Then, you are left with x < 4.

4 0
3 years ago
Write the equation of a line that is parallel to the line 2x - 3y = 5 and passes through the point (2, -1)
jek_recluse [69]

Answer:

The equation of the line is 2x - 3y = 7 ⇒ answer A

Step-by-step explanation:

* Lets revise the relation between the parallel lines

- If two lines are equal then their slopes are equal

- We can make an equation of a line by using its slope and

 a point on the line

- If the slope of the line is m and passing through the point (x1 , y1),

 then we can use this form [y - y1]/[x - x1] = m to find the equation

* Lets solve the problem

- The line is parallel to the line 2x - 3y = 5

∴ the slope of the line = the slope of the line 2x - 3y = 5

- Rearrange the terms of the equation to be in the form

  y = mx + c to find the slope of it

∵ 2x - 3y = 5 ⇒ subtract 2x from both sides

∴ -3y = 5 - 2x ⇒ divide two sides by -3

∴ y = 5/-3 - 2x/-3 ⇒ y = 2/3 x - 5/3

∴ The slop of the line is 2/3

∵ The line passes through point (2 , -1)

* Lets use the rule to find the equation of the line

∵ y - (-1)/x - 2 = 2/3

∴ y + 1/x - 2 = 2/3 ⇒ by using cross multiplication

∴ 3(y + 1) = 2(x - 2) ⇒ open the brackets

∴ 3y + 3 = 2x - 4 ⇒ put x an d y in one side

∴ 2x - 3y = 3 + 4

∴ 2x - 3y = 7

* The equation of the line is 2x - 3y = 7

8 0
3 years ago
A stray dog ate 12 of your muffins. that was 3/10 of all of them! with how many did you start?
kolbaska11 [484]

Answer:

You started of with 84

4 0
3 years ago
15 points!
Phantasy [73]

Hi there! You are provided with two points, this is all you need to calculate the line's slope.


The equation for slope is:

\frac{y2 - y1}{x2 - x1}

\frac{10 - 8}{3 - 7} = -\frac{2}{4}

Slope: -2/4


Point slope form, or y-y1 = m(x - x1). All we have to do is take the x and y coordinates of either point, as well as the slope, and plug them into the equation.

y - 10 = -2/4(x - 3)


Write the equation in slope-intercept form (y=mx+b)

y - 10 = -2/4(x-3)\\y = -2/4(x-3) + 10\\y = -2/4x + 1.5 + 10\\y = -2/4x + 11.5


A) -2/4

B) y - 10 = -2/4(x - 3)

C) y = -2/4x + 11.5

8 0
3 years ago
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