All categories

2 years ago

The sum of an integer and 3 times the next consecutive integer is -21. Find the value of the greater integer.

Mathematics

1 answer:

Anni [7]2 years ago

5 0

Answer: -5

Step-by-step explanation:

i=integer

i+3(i+1)=-21

i+3i+3=-21

4i+3=-21

4i=-24

i=-6

i+1=-6+1=-5

You might be interested in

Match each function with the corresponding function formula when h(x) = 5 - 3x and g(x) = -3 x + 5.

laila [671]

Answer:

To match each functions with the corresponding function formula when h(x) = 5 - 3x and g(x) = -3 x + 5.

1. k(x) = (3h - 5g)(x)

= = 3(5 - 3x)-5(-3 x + 5)

= = 15 - 9x + 15x - 25

K(x) = -10 + 6x

2. k(x) = (h - g)(x)

= = (5 - 3x) - (-3 x + 5)

= = 0

k(x) = 0

3. k(x) = (5g + 3h)(x)

= = 5(-3 x + 5)+3(5 - 3x)

= = -15x + 25 + 15 - 9x

k(x) = - 24x +40

4. k(x) = (3g + 5h)(x)

= = 3 (-3 x + 5) + 5(5 - 3x)

= = -9x + 15 +25 -15x

k(x) = -24x + 40

5. k(x) = (g + h)(x)

= = (-3 x + 5) + (5 - 3x)

k(x) = -6x + 10

6. k(x) = (5h - 3g)(x)

= = 5(5 - 3x) - 3(-3 x + 5)

= =25 - 15x + 9x - 15

k(x) = 10 - 6x

6 0

4 years ago

Write an equation of the line with a slope of 2 that passes through the point (−1, 4) in point-slope form and slope-intercept fo

MrMuchimi

Answer:

y=2x+6

Step-by-step explanation:

y=mx+b

your two point that are [-1, 4] with 1 as x and 4 as y

replace y with 4 then replace m with 2 then put your negative one in () it should look like this

4=2(-1)+b then do what in Parentheses

that will give you -2 then add 2 to 4 and that will give u 6

y=2x+6

3 0

3 years ago

Choose the equation that best represents the equation of the graph of f(x) = 3^x +4.

Alchen [17]

The answer would be D

4 0

3 years ago

Consider the line y=4x-4.

erica [24]

9514 1404 393

Answer:

parallel: y = 4x -6
perpendicular: y = -1/4x +27/4

Step-by-step explanation:

If we want the new line to be written in slope-intercept form, we need to find the new value of the y-intercept. The equation of the line is ...

y = mx +b . . . . . . . for slope m and y-intercept b

Solving for b gives ...

b = y -mx . . . . . . . subtract mx from both sides.

The values of x and y come from the point we want the line to pass through. The value of m will be the same for the parallel line as for the given line: 4. For the perpendicular line, it will be the opposite reciprocal of this: -1/4.

<u>Parallel line</u>

b = 6 -4(3) = 6 -12 = -6

y = 4x -6

Perpendicular line

b = 6 -(-1/4)(3) = 6 +3/4 = 27/4

y = -1/4x +27/4

4 0

3 years ago

What is the range of the function f(x)=(x-4)^2-5

uranmaximum [27]

f(x) = (x - 4)^2 - 5

Vertex (4 , -5)

This function opens upward and has min. value = -5

So range y >= - 5

So answer is A. -5 <= f(x) < ∞

4 0

3 years ago

Read 2 more answers