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2 years ago

For the graph 2x - 3y - 7 = 0 determine the coordinates of the axes intercepts.

Mathematics

1 answer:

Sliva [168]2 years ago

8 0

Answer:

X intercept: (7/2, 0)

Y intercept: (0, -7/3)

Step-by-step explanation: Add 7 to both sides. We get 2x-3y=7

Now, plug in zero for y, and we are left with 2x = 7 (the y cancels.) Dividing by 2 leaves us 7/2, and (0, 7/2)

Now starting back to 2x-3y=7

Plug in zero for x, and we are legt with -3y = 7 (the x cancels.) Divide by -3, and we get -7/3 and (-7/3, 0)

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40, 10, 5/2 5/8... (fractions) is it arithmetic or geometric and what are the next two terms PLZ HELP DUE IN 10 MINS

patriot [66]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the sequence

$40,\:10,\:\frac{5}{2},\:\frac{5}{8}$

A geometric sequence has a constant ratio 'r' and is defined by

$\:a_n=a_0\cdot r^{n-1}$

Computing the ratios of all the adjacent terms

$\frac{10}{40}=\frac{1}{4},\:\quad \frac{\frac{5}{2}}{10}=\frac{1}{4},\:\quad \frac{\frac{5}{8}}{\frac{5}{2}}=\frac{1}{4}$

The ratio of all the adjacent terms is the same and equal to

$r=\frac{1}{4}$

Thus, the given sequence is a geometric sequence.

As the first element of the sequence is

$a_1=40$

Therefore, the nth term is calculated as

$\:a_n=a_0\cdot r^{n-1}$

$a_n=40\left(\frac{1}{4}\right)^{n-1}$

Put n = 5 to find the next term

$a_5=40\left(\frac{1}{4}\right)^{5-1}$

$a_5=40\cdot \frac{1}{4^4}$

$a_5=\frac{40}{4^4}$

$=\frac{2^3\cdot \:5}{2^8}$

$a_5=\frac{5}{2^5}$

$a_5=\frac{5}{32}$

now, Put n = 6 to find the 6th term

$a_6=40\left(\frac{1}{4}\right)^{6-1}$

$a_6=40\cdot \frac{1}{4^5}$

$a_6=\frac{40}{4^5}$

$=\frac{2^3\cdot \:5}{2^{10}}$

$a_6=\frac{5}{2^7}$

$a_6=\frac{5}{128}$

Thus, the next two terms of the sequence 40, 10, 5/2, 5/8... is:

$a_5=\frac{5}{32}$

$a_6=\frac{5}{128}$

7 0

3 years ago

Evaluate the function f(x) = 2x3 - 6x + 1 for f(-2).

erma4kov [3.2K]

Answer:

- 3

Step-by-step explanation:

$f(x) = 2 {x}^{3} - 6x + 1 \\ plugging \: x = - 2 \\ f( - 2) = 2( { - 2})^{3} - 6( - 2)+ 1 \\ = 2 \times ( - 8) + 12 + 1 \\ = - 16 + 13 \\ = - 3 \\ f( - 2) = - 3$

7 0

3 years ago

A=75(125+81/2) how do you this equation? pls Help!!!

Maru [420]

Closing parenthesis is misplaced. Should be:
A = h(b₁ + b₂)/2 

h = 75 ft 
b₁ = 125 ft 
b₂ = 81 ft 

Then it's just plug & grind: 

A = 75(125 + 81)/2 ft² = 75·206/2 ft² = 75·103 ft² = (7500 + 225) ft² = 7725 ft² 

If you follow that, it will guide you through any other, similar p

4 0

3 years ago

Read 2 more answers

Solve the fraction b/9 - 34 <-36

Andru [333]

The answer i got is b<-18.. i’m not sure if it’s right but you could try ! :).. i’m very sorry if you get it wrong .

8 0

3 years ago

Angles 1 and 2 form a right angle.Which word describes their measures?

Andreas93 [3]

Answer:

90 degree angle because a right angle is always 90 degrees