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Harrizon [31]
3 years ago
13

How would i graph y=− 5/2x-3 and x−y=−4 (_,_)

Mathematics
1 answer:
SashulF [63]3 years ago
6 0

Given:

The system of equations is

y=-\dfrac{5}{2}x-3

x-y=-4

To find:

The graph of the given system of equations and its solution.

Solution:

The table of values for y=-\dfrac{5}{2}x-3 is

x        y

-4       7

-2       2

0      -3

Plot these points and connect them by a straight line.

The table of values for x-y=-4 is

x          y

-4         0

-2         2

0         4

Plot these points and connect them by a straight line.

From the below graph it is clear that the lines intersect each other at point (-2,2).

Therefore, the solution of given system of equation is (-2,2).

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Calculate the angle BAC
iren2701 [21]

Answer:

Sine Formula or Sine Rule :

BC / sinA = AC / sinB

60 / sinA = 84.95 / sin(115°)

60 / sinA = 84.95 / 0.91

60 / sinA = 93.7

sinA = 60 / 93.7

sinA = 0.64

A = arc(sin0.64)

A = 39°48'30"

A ≈ 40°

Hence, the value of angle BAC is <u>40°</u>

  • <u>40°</u> is the right answer.
4 0
3 years ago
Given a polynomial function f(x) = 2x2 – 3x + 5 and an exponential function g(x) = 2% – 5, what key features do f(x) and g(x) ha
prohojiy [21]

A. Both f(x) and g(x) have the <em>same</em> domain of (9, +\infty).

<h3>How to analyze similarities in two functions</h3>

In this question we must analyze the domain, range, x-intercepts and <em>increase</em> intervals:

<h3>Domain</h3>

Dom \{f(x)\} = \mathbb{R}

Dom \{g(x)\} = \mathbb{R}

Both functions are <em>continuous</em>.

<h3>Range</h3>

Ran \left\{f(x)\right\} = (3.875, +\infty)

Ran \{g(x)\} = (-5, +\infty)

<h3>x-Intercepts</h3>

f(x): (x,y) = \emptyset

g(x): (x,y) = (2.322, 0)

<h3>Increase intervals</h3>

f(x): According to the graph, f(x) increase over the interval of (3.875, + \infty).

g(x) : According to the graph, g(x) increase over the interval of \mathbb{R}

After a quick analysis, we conclude that option A offer the best approximation to characteristics of both functions. \blacksquare

<h3>Remark</h3>

The statement presents mistakes and is poorly formatted. Correct form is:

<em>Given a polynomial function </em>f(x) = 2\cdot x^{2}-3\cdot x + 5<em> and an exponential function </em>g(x) = 2^{x}-5<em>. What key features do </em>f(x)<em> and </em>g(x)<em> have in common? </em>

<em />

<em>A.</em><em> Both </em>f(x)<em> and </em>g(x)<em> have the same domain of </em>(9, +\infty)<em>.</em>

<em>B.</em><em> Both </em>f(x)<em> and </em>g(x)<em> have the same range of </em>(-\infty, 0]<em>.</em>

<em>C.</em><em> Both </em>f(x)<em> and </em>g(x)<em> have the same x-intercept of </em>(2,0)<em>.</em>

<em>D.</em><em> Both </em>f(x)<em> and </em>g(x)<em> increase over the interval of </em>(-4, +\infty)<em>.</em>

<em />

To learn more on functions, we kindly invite to check this verified question: brainly.com/question/5245372

4 0
2 years ago
3 mL is equal to: <br> 1- 3 L<br> 2- 3 cm2 <br> 3- 3 cm3
vazorg [7]

1 mL is equal to 1 cm3 and so 1 x 3=3, which is why the answer is 3 cm3.

3 cm3

3 0
3 years ago
What is the product of 2x-4 and 3x2-x+4? Write your answer in standard form. Show your work. Is the product of 2x-4 and 3x2-x+4
Law Incorporation [45]

Answer:no the preduct are not equal

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Express the following quantities as ordinary decimal numbers: (step by step please)
jenyasd209 [6]

Answer:

a. 0.0000009 m

b. 6,130, 000, 000

c. 100,000 light years

d. 0.00001 mm

e. 0.0000010 kg

Step-by-step explanation:

Here, we want to come from the standard form to the decimal form

In doing this, we consider the power of 10 attached

If negative, we count leftwards, if positive, we count right-wards

The number of times we count is the power of 10 attached. The count means we are moving the decimal point

For numbers with out visible decimal point, it is at the back of the most right-ward number

Thus, we have these as;

a. 9 * 10^-7

= 0.0000009 m

b. 6.130 * 10^9

= 6,130, 000, 000

c. 1 * 10^5

= 100,000 light years

d. 1 * 10^-5 mm

= 0.00001 mm

e. 10^-7

= 0.0000010 kg

8 0
3 years ago
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