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3 years ago

What is the y-intercept of the line? y = 5x - 9

Mathematics

2 answers:

Liula [17]3 years ago

8 0

The y intercept of this line is -9

Luden [163]3 years ago

5 0

Answer:

-9

Step-by-step explanation:

To find the y-intercept, plug in 0 for x and find out what you get.

$y=5(0)-9\\y=0-9\\y=-9$

The y-intercept is

$(0,-9)$

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If 6^4x = 82, what is the value of x?<br> Round your answer to three places.

neonofarm [45]

Answer:

$x=0.61485921$

Step-by-step explanation:

The given equation is in exponential form:

$6^{4x} =82$

To find $x$ we need to write it in logarithmic form:

$b^{a} =n$ ⇒ $log_{b} n=a$

$6^{4x} =82$ ⇒ $log_{ 6 } 82=4x$

$2.45943684 = 4x$

$\frac{2.45943684}{4} = x$

$0.61485921 =x$

To prove this, we can substitute the value into the given equation

$6^{4x} =82$

$6^{4(0.61485921)} =82$

$82=82$

Therefore, the answer is $x=0.61485921$

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3 years ago

What is the volume (in cubic units) of a cylinder with a radius of 3 units and a height of 12 units?

MatroZZZ [7]

Report this clown who put the first answer he’s trying to get your ip

8 0

2 years ago

Can someone please help me this is due in 10 mins

____ [38]

<h2>Answer: 250 Hamburgers sold</h2><h2>Step-by-step explanation:</h2><h2><u><em>x = hamburgers </em></u></h2><h2><u><em>y = cheeseburgers </em></u></h2><h2><u><em>x+y=434 </em></u></h2><h2><u><em>66 fewer cheeseburgers than hamburgers </em></u></h2><h2><u><em> </em></u></h2><h2><u><em> </em></u></h2><h2><u><em>y = x - 66 </em></u></h2><h2><u><em>Substitute y into the first equation </em></u></h2><h2><u><em>x + (x-66) = 434 </em></u></h2><h2><u><em>2x = 434 + 66 </em></u></h2><h2><u><em>2x = 500 </em></u></h2><h2><u><em>x = 250 hamburgers sold</em></u></h2>

7 0

3 years ago

6. If the net investment function is given by

Pachacha [2.7K]

The capital formation of the investment function over a given period is the

accumulated capital for the period.

(a) The capital formation from the end of the second year to the end of the fifth year is approximately <u>298.87</u>.

(b) The number of years before the capital stock exceeds $100,000 is approximately <u>46.15 years</u>.

Reasons:

(a) The given investment function is presented as follows;

$I(t) = 100 \cdot e^{0.1 \cdot t}$

(a) The capital formation is given as follows;

$\displaystyle Capital = \int\limits {100 \cdot e^{0.1 \cdot t}} \, dt =1000 \cdot e^{0.1 \cdot t}} + C$

From the end of the second year to the end of the fifth year, we have;

The end of the second year can be taken as the beginning of the third year.

Therefore, for the three years; Year 3, year 4, and year 5, we have;

$\displaystyle Capital = \int\limits^5_3 {100 \cdot e^{0.1 \cdot t}} \, dt \approx 298.87$

The capital formation from the end of the second year to the end of the fifth year, C ≈ 298.87

(b) When the capital stock exceeds $100,000, we have;

$\displaystyle \mathbf{\left[1000 \cdot e^{0.1 \cdot t}} + C \right]^t_0} = 100,000$

Which gives;

$\displaystyle 1000 \cdot e^{0.1 \cdot t}} - 1000 = 100,000$

$\displaystyle \mathbf{1000 \cdot e^{0.1 \cdot t}}} = 100,000 + 1000 = 101,000$

$\displaystyle e^{0.1 \cdot t}} = 101$

$\displaystyle t = \frac{ln(101)}{0.1} \approx 46.15$

The number of years before the capital stock exceeds $100,000 ≈ <u>46.15 years</u>.

Learn more investment function here:

brainly.com/question/25300925

6 0

2 years ago

Help please!<br>If you know geometry please help!<br>

tamaranim1 [39]

50+50=100

180-100=80

X=80

4 0

3 years ago

What is the y-intercept of the line? y = 5x - 9​

What is the y-intercept of the line? y = 5x - 9