the sum of two numbers is 67. the smaller number is 3 less then the larger number. what are the two numbers?

Answers

Answer 1

Answer: thats the answer

x2 - 8x - 15

hope it helps

Answer 2

Answer: $Two\ numbers\ are\ x\ and\ x-3 \n x+x-3=67 \n 2x-3=67 \n 2x=70 \n x=35 \n \n 35\ and\ 35-3 \n \boxed{35\ and\ 32}$

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Find the y-intercept for the graph of the quadratic function. y + 4 = (x + 2)2 A. (0, 4) B. (0, 0) C. (4, 0) D. (0, -4

Answers

For y-intercept, x = 0.
y + 4 = (0 + 2)^2
y + 4 = 2^2
y + 4 = 4
y = 4 - 4 = 0

y-intercept is (0, 0)

Simplify. (15/x-5)-5 = (21/x-6)-7

Answers

Answer:

x = 2

Step-by-step explanation:

To simplify the given equation:

(15/x - 5) - 5 = (21/x - 6) - 7

First, let's simplify the algebraic expressions within the parentheses.

(15/x - 10) = (21/x - 13)

Now, let's multiply both sides of the equation by the common denominator, which is x.

x * (15/x - 10) = x * (21/x - 13)

This simplifies to:

15 - 10x = 21 - 13x

Next, let's combine like terms.

-10x + 15 = -13x + 21

Adding 10x to both sides of the equation:

15 = -3x + 21

Now, subtract 21 from both sides of the equation:

15 - 21 = -3x

-6 = -3x

Finally, divide both sides by -3 to solve for x:

x = -6 / -3

Simplifying the expression, we find:

8)What is the equation of a line that goes through the point (3, 12) and is perpendicular to the line given by the equation y = -1/3x - 7?(A) y = -3x - 12
(B )y = -1/3x + 6
(C) y = 3x + 3
(D) = (1/3x) - 6

Answers

The slope of the first line is $m_1=(-1)/(3)$ .
To be perpendicular the slope of the second line must be the negative reciprocal of the first: $m_2=3$
Use the slope-intercept formula:
$y=mx+b$
Substitute known values:
$12=3(3)+b$
Solve for $b$ :
$b=3$
Complete the formula:
$y=3x+3$

Solve each equation.Show your work.
Can someone help me please??

Answers

Answer:

1/2a = -5

a = (-5 x 2) : 1

a = -10

8 - b = 9,5

b = 8 - 9,5

b = -1,25

0,1 = -10c

c = 0,1 : -10

c = -0,01

I hope it's helpful.

Please help i dont understand this7. (5 points) Write an explicit rule for the geometric sequence: 2048, 512, 128, 32, ...

Answers

Answer:

1998

Step-by-step explanation:

Find the value of x so that the ratios are equivalent 9:x and 54:8 i cant seem to get it i tried 48 but it said it was wrong

Answers

Answer:

The answer is 48

Step-by-step explanation:

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