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2 years ago

Find the $x$-intercept of the line $3x - 5y = 7.$

Mathematics

1 answer:

kotegsom [21]2 years ago

4 0

The x-intercept of the line 3x - 5y = 7 is at point ( 7/3, 0 ).

<h3>What is the x-intercept of the line?</h3>

Given the function;

3x - 5y = 7
x-intercept ?

X-intercept occurs on the graph when y=0. Hence, to determine x-intercept, we substitute in 0 for y and solve for x.

3x - 5y = 7

3x - 5(0) = 7

3x - 0 = 7

3x = 7

x = 7/3

Hence, we have a point ( 7/3, 0 ).

The x-intercept of the line 3x - 5y = 7 is at point ( 7/3, 0 ).

Learn more about x and y-intercepts here: brainly.com/question/12791065

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For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain.

slamgirl [31]

The domain for (a) , (b) , (c) is all set of real numbers , for (d) (x ε R except x = 3/8.

The complete question is

a) (f + g)(x), (b) (f – g)(x), (c) (f × g)(x), (d) (f / g)(x), (e) (f + g)(7), (f) (f - g)(2), (g) (f.g)(3), (h) (f/g)(27)

<h3>What is a Function ?</h3>

A function is the law that defines the relation between independent and a dependent variable.

It is given that

f(x) = 3x+8

g(x) = 8x-3

(a) (f + g)(x) = 3x+8 +8x-3 = 11x+5

(b) (f – g)(x) = 3x+8 -8x+3 = -5x +11

(d)(f / g)(x) = (3x+8)/(8x-3)

(e) (f + g)(7) = 11*7+5 = 77+5 = 82

(f) (f - g)(2)= -5*2 +11 = 1

(g) (f.g)(3) =24*9 +55*3 -24 = 357

(h) (f/g)(27) = (3x+8)/(8x-3) = (3 * 27 +8)/(8*27-3) = 89/213

The domain for (a) , (b) , (c) is all set of real numbers , for (d) (x ε R except x = 3/8)

To know more about Function

brainly.com/question/12431044

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3 0

2 years ago

On a vacation in Puerto Rico rose jumped off a cliff into a river in El Yunque go forest reserve her height as a function of tim

gayaneshka [121]

Answer: t = 6 s

Step-by-step explanation:

When Rose hit the water, the height of the jump is 0, so: h(t) = 0.

Resolving it, we have:

-16t² + 16t + 480 = 0

To simplify the second degree equation, divided it by 16:

-t² + t + 30 = 0

Now, solve the equation using Bhaskara:

Δ = 1² - 4. (-1) . 30

Δ = 1 + 120

Δ = 121

t = $\frac{-1+\sqrt{121} }{-2}$

t₁ = $\frac{-1 + 11}{-2}$ = - 5

t₂ = $\frac{-11-11}{-2}$ = 6

Since time can be negative, it took t = 6s for Rose to hit the water.

6 0

3 years ago

If 5 friends buy a package of 38 balloons, how should they divide them?

Nastasia [14]

All you have to do is divide 38 divided by 5 which = 7 r 3

I hope this helps.

Have a awesome day. :)

7 0

3 years ago

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I’ve asked 3 times and no one knows pls helpahh

BigorU [14]

<h3>Answer: x = 21</h3>

Explanation:

The two angles shown combine to 180 degrees because the angles form a straight line.

(3x+18)+(4x+15) = 180

7x+33 = 180

7x = 180-33

7x = 147

x = 147/7

x = 21

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3 years ago

Write down all of the prime numbers between 15 and 25.

LUCKY_DIMON [66]

Answer:

17,19,23

that the prime number

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3 years ago

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