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tester [92]
2 years ago
13

Write the equation of the line, given the y- and x-intercepts:

Mathematics
2 answers:
Ivanshal [37]2 years ago
7 0

Answer:

y=2x+19

Step-by-step explanation:

sasho [114]2 years ago
3 0

Answer:

y=2x+19

Step-by-step explanation:

Slope: 0-19/-9.5-0=-19/-9.5=2

y-intercept: 19

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Find an equivalent function to f(x)=3(6)^2x<br> Answer choices in picture
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3.6.2x: x/36 or you can use cymath
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2 years ago
To prepare for a triathlon, Amanda starts from position A and rides her bike along a straight road for 12 miles to reach positio
Sergio [31]

Answer:


Step-by-step explanation:

Let's draw the given information first for better understanding . Check the image attached.

We can use cosine rule to find the angles .

for angle A ,

Cos A =\frac{b^2+c^2-a^2}{2bc}

Cos A =\frac{20^2+12^2-15^2}{2*20*12}

Cos A =\frac{319}{480}

m∠A = 48.35 degrees

Similarly for angle B

Cos B =\frac{a^2+c^2-b^2}{2bc}

Cos B =\frac{15^2+12^2-20^2}{2*15*12}

Cos B =\frac{-31}{360}

m∠B = 94.94 degrees

Now use A+B+C=180 degrees

48.35+94.94+C=180

C=180-48.35-94.94

m∠C = 36.71 degrees

3 0
3 years ago
Read 2 more answers
in 2012, the population of a city was 63,000. by 2017, the population was reduced to approximately 54,100. identify any equation
Akimi4 [234]

Answer:

<em></em>f(x) = 63000(0.97)^x<em></em>

<em></em>

Step-by-step explanation:

Given

f(0) = 63000 ---x = 0, in 2012

f(5) = 54100 -- x = 5, in 2017

Required

Select all possible equations

Because there is a reduction in the population, as time increases; the rate must be less than 1.

An exponential function is represented as:

f(x) = ab^x

Where

b = rate

rate > 1 in options (a) and (b) i.e. 1.03

This implies that (a) and (b) cannot be true

For option (c), we have:

f(x) = 63000(0.97)^x

Set x = 0

f(0) = 63000(0.97)^0 = 63000*1=63000\\

Set x = 5

f(5) = 63000(0.97)^5 = 63000*0.8587=54098.1 \approx 54100

<em>This is true because the calculated values of f(0) and f(5) correspond to the given values</em>

For option (d), we have:

f(x) = 52477(0.97)^x

Set x = 0

f(0) = 52477(0.97)^0 - 52477* 1 = 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

For option (e), we have:

f(x) = 63000(0.97)^\frac{1}{5x}

Set x = 0

f(0) = 63000(0.97)^\frac{1}{5*0} = 63000(0.97)^\frac{1}{0} =undefined

<em>This is false because the f(x) is not undefined at x = 0</em>

For option (f), we have:

f(x) = 52477(0.97)^{5x

Set x = 0

f(0) = 52477(0.97)^{5*0} = 52477(0.97)^0 =52477*1= 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

<em>From the computations above, only (c) </em>f(x) = 63000(0.97)^x<em> is true</em>

4 0
2 years ago
MATH PLEASE HELP 20 POINTS!
Igoryamba
1. d
x-intercept (y=0) is -4
y-intercept (x=0) is 8

2. d
x-intercept (y=0) is 16
y-intercept (x=0) is 20

3. b
y=1/6x+4
multiplied by 6
6y=x+24
-x+6y=24

4. a 4.75k+2.25p=22
8 0
3 years ago
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PLS ANSWER ASAP!!!!!<br> Simplify 5^-4/5^3
Alekssandra [29.7K]

Answer:

None on the above.

Step-by-step explanation:

Here’s what I got:

1/5^-1.

3+(-4)=-1

5^-4/5^3 = 1/5^-1

5 0
2 years ago
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