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2 years ago

Write the equation that passes through the given point and has the slope indicated: (1, -3); with slope (-3/5)

Mathematics

1 answer:

TiliK225 [7]2 years ago

6 0

Answer:

y = -3/5x - 12/5

Step-by-step explanation:

The equation I'm going to give is going to be in slope-intercept form. If you need it in point-slope, I can do so in an edit or the comments.

Slope-intercept form is: <em>y = mx + b</em> where m is the slope, b is the y-intercept.

So let's plug in our given slope:

y = -3/5x + b

Using this, we now plug in our x- and y-coordinates from the given point to solve for b.

-3 = -3/5(1) + b

-3 = -3/5 + b

Add 3/5 to both sides to isolate variable b.

-3 + 3/5 = b

-15/5 + 3/5 = b

-12/5 = b

Plug this new info back into the original equation and your answer is

y = -3/5x - 12/5

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Please help me with this thanks

Ronch [10]

If x = 1, then 3*1 = 3 which when modded with 5, we get 3 as a remainder. In other words, 3/5 = 0 remainder 3. We don't use the quotient at all when it comes to modular arithmetic. All we care about is the remainder.

If x = 2, then 3*2 = 6 which leads to remainder 1 when we divide by 5. Therefore, 3x = 1 (mod 5) when x = 2.

If x = 3, then 3*3 = 9 = 4 (mod 5) because 9/5 = 1 remainder 4.

So 3x = 4 (mod 5) when x = 3.

<h3>The final answer is C) 3</h3>

We don't need to check D since x = 3 is a solution and it's smaller than x = 4.

If you wanted to check x = 4, then 3*4 = 12 = 2 (mod 5) because 12/5 yields a remainder of 2.

7 0

2 years ago

Solve the equation x2 = 10.

MatroZZZ [7]

Answer:

$\large\boxed{x=-\sqrt{10}\ or\ x=\sqrt{10}}$

Step-by-step explanation:

$x^2=10\iff x=\pm\sqrt{10}$

8 0

2 years ago

Find the range of the function F(x) = the integral from 0 to x of the square root of 4-t^2 dt

ioda

Note that √(4 - t²) is defined only as long as 4 - t² ≥ 0, or -2 ≤ t ≤ 2. Then the real integral exists only if -2 ≤ x ≤ 2. (Otherwise we deal with complex numbers.)

If x = 2, then the integral corresponds to the area of a quarter-circle with radius 2. This means that the integral has a maximum value of 1/4 • π • 2² = π.

On the opposite end, if x = -2, then the integral has the same value, but the integral from 0 to -2 is equal to the negative integral from -2 to 0. So the minimum value is -π.

For all x in between, we observe that the integrand is continuous over the rest of its domain, so F(x) is continuous.

Then the range of F(x) is the interval [-π, π].

8 0

2 years ago

A company has 3.12 × 108 dollars to spend on salaries for its employees. The company has 6.5 × 103 employees. Each employee earn

Lilit [14]

Answer:

its b

Step-by-step explanation:

4 0

3 years ago

PLS HELP ASAP PLZ PLZ PLZ

KIM [24]

I am unsure about the very last problem but I can help with the first two

1) (y+1)+4

If we combine the numbers 1 and 4, we get +5 and can isolate the numbers from the variable.

This would give us

$y + 5 =$

2) (6*r)*7

remember that we do not have to explicitly state 6*r

Instead, we can write it as 6r

this helps us get rid of the parentheses

now we can write it as $6r * 7=$

I hope this helps!:)

6 0

2 years ago