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Elanso [62]
4 years ago
15

Your friend was absent the days that the following formulas were introduced. Write a detailed letter to your friend explaining t

hem. 1. Slope formula 2. Slope-intercept form 3. Standard form. Address what the forms are, when they are used, and how they are used. Give detailed examples.
Mathematics
2 answers:
aksik [14]4 years ago
5 0

<u>Answer plus step-to-step explanation:</u>

1. Slope formula = Change in  y ÷  change in x.

i.e slope(m) = \frac{Δx}{Δy} (Δ means change in)

2. Slope-intercept form is representing equation of a straight line on cartesian plane in the form y = mx + c. <em>Where (m) is the slope of that line and c is the y-intercept.</em>

3. Standard form - is writing numbers in the form of number times ten to power of an exponent. This is also referred to as scientific notation form.

<u>Example:</u>

To write 512 in standard form would be 5.12 × 10²


user100 [1]4 years ago
5 0

Answer:

1. Slope formula = Change in  y ÷  change in x.

i.e slope(m) =  (Δ means change in)

2. Slope-intercept form is representing equation of a straight line on cartesian plane in the form y = mx + c. Where (m) is the slope of that line and c is the y-intercept.

3. Standard form - is writing numbers in the form of number times ten to power of an exponent. This is also referred to as scientific notation form.

Example:

To write 512 in standard form would be 5.12 × 10²

II hope this helps :)

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Cindy dissolves 19 1 /4 grams of drink mix in 1 3 /4 ounces of water. What is the unit rate in grams of drink mix per ounce of w
Korolek [52]

Answer:

Unit rate in grams of drink mix per ounce of water = 11 gram / ounces

Step-by-step explanation:

Given:

Amount of drink mix = 19 (1 /4) gram = 19.25 gram

Amount of water = 1 (3 /4) ounces = 1.75 ounces

Find:

Unit rate in grams of drink mix per ounce of water = ?

Computation:

⇒  Unit rate in grams of drink mix per ounce of water = Amount of drink mix / Amount of water

⇒  Unit rate in grams of drink mix per ounce of water = 19.25 / 1.75

⇒  Unit rate in grams of drink mix per ounce of water = 11 gram / ounces

5 0
3 years ago
How can I find the complex roots of 125x^3+343. Please explain your steps
8_murik_8 [283]
First we assume that this is equal to zero

so what we notice is this is a sum of 2 perfect cube

recall that
a^3+b^3=(a+b)(a^2-ab+b^2)

125x^3+343=
(5x)³+(7)³=(5x+7)(25x²-35x+49)

now solve the part in second parenthasees because we can see that the first parenthasees (5x+7) is going to have a real root

remember quadratic formula

for ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^2-4ac} }{2a}
a=25
b=-35
c=49

x=\frac{-(-35)+/- \sqrt{(-35)^2-4(25)(49)} }{2(25)}
x=\frac{35+/- \sqrt{1225-4900} }{50}
x=\frac{35+/- \sqrt{-3675} }{50}
x=\frac{35+/- (\sqrt{3675})( \sqrt{-1}) }{50}
x=\frac{35+/- (\sqrt{3675})(i) }{50}
x=\frac{35+/- 35i\sqrt{3} }{50}
x=\frac{7+/- 7i\sqrt{3} }{10}

the comlex roots are

x=\frac{7+ 7i\sqrt{3} }{10} and \frac{7- 7i\sqrt{3} }{10}




3 0
4 years ago
Please help I’ll mark brainliest!!
Effectus [21]

Answer:

i think its 4

Step-by-step explanation:

3 0
3 years ago
A city starts with a population of 500,000 people in 2007. Its population declines according to the equation
hjlf

Answer: After 7 years the population will be one-half the initial amount.

Step-by-step explanation:

Given: Initial population = 500,000

The population declines according to the equation:

P(t) = 500,000e^{ -0.099t}, where P is the population in t years later.

One-half the initial amount = 0.5 x 500,000

= 250,000

Put P(t)=250,000, we get

250000=500000e^{-0.099t}\\\\\Rightarrow\ \frac{500000e^{-0.099t}}{500000}=\frac{250000}{500000}\\\\\Rightarrow\ e^{-0.099t}=\frac12\\\\\Rightarrow\ -0.099t=\ln \left(\frac{1}{2}\right)\\\\\Rightarrow\ t=\frac{1000\ln \left(2\right)}{99}=\frac{1000(0.69314)}{99}\\\\\Rightarrow\ t=7.00148\approx7

Hence, After 7 years the population will be one-half the initial amount.

5 0
3 years ago
Alex owns 80 orange trees. He has estimated that there are between 35 and 40 oranges on each tree. Which is the closest estimate
Archy [21]
2,800-3,200

Explanation: multiply 35 and 40 by 80 since those are the variables
7 0
3 years ago
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