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3 years ago

Use graph to answer question

Mathematics

1 answer:

serious [3.7K]3 years ago

8 0

Answer:

53.13 degrees

Step-by-step explanation:

From the shape of the graph, we can see that the plotted line forms a right-angled triangle with the x and y coordinates. As a result, we can use laws that govern the geometry of right-angled triangles to evaluate the solution.

$tan \theta = opposite/ adjacent$

The opposite side in this case is the side directly facing the angle Θ. This is the y - axis value = -4

The adjacent side in this case is the side above the angle Θ. This is the y - axis value = -3

$tan \theta = (-4/-3)\\\theta = tan ^-1(4/3) = 53.13 degrees$

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The cost to print digital photos at a local store is

snow_tiger [21]

<h2>The cost is same for both the options if we purchase 27 photos</h2>

Step-by-step explanation:

Cost of a photo at a local store is $0.25 per photo. This cost can be modeled to be linear in number of photos as $C_{1}(x)=0.25x$ .

Cost of photos purchased online is $0.15 per photo. However there is a shipping cost of $2.70. This can also be modeled to be linear in number of photos as $C_{2}(x)=2.70+0.15x$ .

Let us assume both costs are the same if we purchase $n$ photos.

So, $C_{1}(n)=C_{2}(n)$

$0.25n=2.70+0.15n$

$0.10n=2.70$

$n=27$

∴ On purchasing 27 photos, cost for both the options is the same.

5 0

3 years ago

Read 2 more answers

The endpoints of one side of a regular pentagon or -1, four and two, three what is the perimeter of the Pentagon

forsale [732]

Answer:

Step-by-step explanation:

$(-1,4),(2,3)\\ \\ s^2=(-1-2)^2+(4-3)^2\\ \\ s^2=9+1\\ \\ s^2=10\\ \\ s=\sqrt{10}\\ \\ p=5s\\ \\ p=5\sqrt{10}\ exact\\ \\ p\approx 15.8$

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2 years ago

Identify the functions that are continuous on the set of real numbers and arrange them in ascending order of their limits as x t

Studentka2010 [4]

Answer:

g(x)<j(x)<k(x)<f(x)<m(x)<h(x)

Step-by-step explanation:

1. $f(x)=\frac{x^2+x-20}{x^2+4}$

The denominator of f is defined for all real values of x

Therefore, the function is continuous on the set of real numbers

$\lim_{x\rightarrow 5}\frac{x^2+x-20}{x^2+4}=\frac{25+5-20}{25+4}=\frac{10}{29}=0.345$

3. $h(x)=\frac{3x-5}{x^2-5x+7}$

$x^2-5x+7=0$

It cannot be factorize .

Therefore, it has no real values for which it is not defined .

Hence, function h is defined for all real values.

$\lim_{x\rightarrow 5}\frac{3x-5}{x^2-5x+7}=\frac{15-5}{25-25+7}=\frac{10}{7}=1.43$

2. $g(x)=\frac{x-17}{x^2+75}$

The denominator of g is defined for all real values of x.

Therefore, the function g is continuous on the set of real numbers

$\lim_{x\rightarrow 5}\frac{x-17}{x^2+75}=\frac{5-17}{25+75}=\frac{-12}{100}=-0.12$

4. $i(x)=\frac{x^2-9}{x-9}$

x-9=0

x=9

The function i is not defined for x=9

Therefore, the function i is not continuous on the set of real numbers.

5. $j(x)=\frac{4x^2-7x-65}{x^2+10}$

The denominator of j is defined for all real values of x.

Therefore, the function j is continuous on the set of real numbers.

$\lim_{x\rightarrow 5}\frac{4x^2-7x-65}{x^2+10}=\frac{100-35-65}{25+10}=0$

6. $k(x)=\frac{x+1}{x^2+x+29}$

$x^2+x+29=0$

It cannot be factorize .

Therefore, it has no real values for which it is not defined .

Hence, function k is defined for all real values.

$\lim_{x\rightarrow 5}\frac{x+1}{x^2+x+29}=\frac{5+1}{25+5+29}=\frac{6}{59}=0.102$

7. $l(x)=\frac{5x-1}{x^2-9x+8}$

$x^2-9x+8=0$

$x^2-8x-x+8=0$

$x(x-8)-1(x-8)=0$

$(x-8)(x-1)=0$

$x=8,1$

The function is not defined for x=8 and x=1

Hence, function l is not defined for all real values.

8. $m(x)=\frac{x^2+5x-24}{x^2+11}$

The denominator of m is defined for all real values of x.

Therefore, the function m is continuous on the set of real numbers.

$\lim_{x\rightarrow 5}\frac{x^2+5x-24}{x^2+11}=\frac{25+25-24}{25+11}=\frac{26}{36}=\frac{13}{18}=0.722$

g(x)<j(x)<k(x)<f(x)<m(x)<h(x)

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3 years ago

What percent is 680 of 2300

Usimov [2.4K]

29.5652% please give brainlest

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3 years ago

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Which of the following points are solutions to the system of inequalities shown below?

Ira Lisetskai [31]

Y > 6x + 5
y < -6x + 7
(2,17)
17 > 6(2)+5 ; 17> 17 NO
(8,8)
8>6(8)+5 NO
(-2,18)
18>6(-2)+5
18>-7 YES
18< -6(-2)+7
18< 12+7 YES (-2,18) is an answer
(0,6)
6>6(0)+5
6>5 YES
6<-6(0)+7
6<7 YES (0,6) is an answer
(-2,19)
19>6(-2)+5
19>-7 NO
(2,18)
18>6(2)+5
18>17 YES
18< -6(2)+7
18< -5 NO

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3 years ago