All categories

2 years ago

Graph the function r(x) = x + 5

Mathematics

1 answer:

Gwar [14]2 years ago

7 0

Slope:

$1$

y-intercept:

(0,5)

HopeItHelps you

You might be interested in

Solve: x + y = 7 3x - 2y = 11 By using Substituting method.

Salsk061 [2.6K]

$\large\underline{\sf{Solution-}}$

$\sf \longmapsto x + y = 7 \: \: - - - (i)$

$\sf \longmapsto 3x - 2y = 11 \: \: - - - (ii)$

By first equation,

$\sf \longmapsto x + y = 7$

$\sf \longmapsto x = 7 - y$

Now, we can find the original value of y.

$\sf \longmapsto 3x - 2y = 11$

$\sf \longmapsto 3(7 - y) - 2y = 11$

$\sf \longmapsto 21 - 3y - 2y = 11$

$\sf \longmapsto 21 - 5y = 11$

$\sf \longmapsto - 5y = 11 - 21$

$\sf \longmapsto - 5y = - 10$

$\sf \longmapsto y = \dfrac{ - 10}{ - 5}$

$\sf \longmapsto y = 2$

Now, we can find the original value of x.

$\sf \longmapsto x + y = 7$

$\sf \longmapsto x + 2 = 7$

$\sf \longmapsto x = 7 - 2$

$\sf \longmapsto x = 5$

Therefore, the values of x and y are 5 and 2 respectively.

8 0

2 years ago

Read 2 more answers

Solve the absolute value equation. 12 + 2x[ = [x - 6]

Tom [10]

Answer:

x=−18

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

12+2x=x−6

12+2x=x+−6

2x+12=x−6

Step 2: Subtract x from both sides.

2x+12−x=x−6−x

x+12=−6

Step 3: Subtract 12 from both sides.

x+12−12=−6−12

x=−18

6 0

2 years ago

A collection of dimes is arranged in a triangular array with 17 coins in the base row, 16 in the next, 15 in the next, and so fo

Crazy boy [7]

Answer:

153 coins will be there.

Step-by-step explanation:

The number of coin in the bottom row / or last row = 17

The number of coins in the second last row = 16

The number of coins in the second row = 2

The number of coins in the first row = 1

So the total number of coins = (Number of coin in the first row) + (Number of coins in the second row) + (Number of coins in the third row) + ....... + (Number of coins in the last row / seventeenth row)

Total number of coins = 1+2+3+....+16+17

Total number of coins = $\frac{17\times(17+1)}{2}=\frac{17\times18}{2}=17\times9=153$

(NOTE: Sum of first n natural number = $\frac{\boldmath n\times(n+1)}{2}$ )

7 0

2 years ago

For f(x) = 2x + 1 and g(x) = x2 - 7, find (f - g)(x).

kakasveta [241]

Step-by-step explanation:

f(x)=2x+1

g(x)=2x-7

now,

f-g(x)=f(x)-g(x)
2x+1-2x+7
8

(f-g)(x)=8

hope it helps.

5 0

2 years ago

Read 2 more answers

Suppose that 3 is a factor of a, a is a divisor of 12, and a is positive. What is the number of possible values of a?

Zina [86]

Answer: the number of possible values of a are 3 and 6

Explanation:
Since a is a divisor of 12
Then let’s see what are the divisor for 12
12= 6 x 2
12= 3 x 4
And we know that 3 is a factor of a
So if a was 3 then 3/3 is exactly 1
And if a was 6 then 6/3 is exactly 2 with no remainder

And 3 and 6 are also the divisor of 12
12/6=2
12/3=4
So a should be 3 and 6

5 0

3 years ago

Read 2 more answers

Graph the function r(x) = x + 5​

Graph the function r(x) = x + 5