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2 years ago

Which numbers should be multiplied to obtain 175^2 − 124^22?

1 answer:

3 0

This question seems to me to be an exercise in applying the rule for a difference of squares in order to rewrite the difference of two relatively large numbers as the "simpler" product of other integers.

$175^2-124^2=(175-124)(175+124)=51\cdot299=15,249$

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I need help! Will mark Brainliest for full answer!!!

Softa [21]

Answer:

Part a .............> x = 11

Part b .............> k = 57.2

Part c .............> y = 9.2

Explanation:

The three problems deal with inverse variation between two variables

An inverse variation relation between two variables means that when one of the variables increases, the other will decrease (and vice versa)

Mathematically, an inverse variation relation is represented as follows:

$y = \frac{k}{x}$

where x and y are the two variables and k is the constant of variation

Now, let's check the givens:

Part a:

We are given that y = 3 and k = 33

Substitute in the original relation and solve for x as follows:

$y = \frac{k}{x}\\ \\3 = \frac{33}{x}\\ \\x=\frac{33}{3}=11$

Part b:

We are given that y = 11 and x = 5.2

Substitute in the original relation and solve for k as follows:

$y=\frac{k}{x}\\ \\11=\frac{k}{5.2}\\ \\k=11*5.2=57.2$

Part c:

We are given that x=7.8 and k=72

Substitute in the original relation and solve for y as follows:

$y=\frac{k}{x}=\frac{72}{7.8}=9.2$ to the nearest tenth

Hope this helps :)

6 0

2 years ago

For the pair of functions, find the indicated sum, difference, product, or quotient.

ycow [4]

For the pair of functions, find the indicated sum, difference, product, or quotient.

f(x) = 6 - 7x, g(x) = -3x + 7
Find (f + g)(x).

7 0

2 years ago

$7.00 × 20 = $140 in 40 hours any helps !

lilavasa [31]

Answer:

$280 in 40 hours!

(Just multiply)

6 0

2 years ago

Read 2 more answers

What is the y-value to the solution of y = 5x -4 and y = 2x + 8

Fiesta28 [93]

Answer:

At the bottom!

Step-by-step explanation:

Put the two equations into the same standard form:

2x-y=8

-5x+2y=3

Now if you add the two equations up, guess what will happen?

You will "eliminate" the y variable, and only be left with the x variable.

Technically, you will get:

2x-y+2+28-5x+29+2y=8+23

-3x+20y=11

-3x=11

6 0

2 years ago

Which table represents a quadratic relationship?

svp [43]

In each case, the x-values are equally-spaced. Thus looking at second differences will tell you if the relation is quadratic. If the second differences are non-zero and constant, then the values have a quadratic relationship.

A. First differences are 2-4 = -2, 1-2 = -1, 0.5-1 = -0.5. Second differences are -1-(-2) = 1, -0.5-(-1) = 0.5. Since 1 ≠ 0.5, this relation is not quadratic. (It is exponential with a base of 1/2.)

B. First differences are 128-135 = -7, 105-128 = -23, 72-105 = -33. Second differences are -23-(-7) = -16, -33-(-23)=-10. Since -16 ≠ -10, this relation is not quadratic. (It is cubic, since 3rd differences are constant at +4.)

C. First differences are -23.2-(-23.4) = 0.2, -23.0-(-23.2) = 0.2, -22.8-(-23.0) = 0.2. Second differences are zero, so this is not a quadratic relation. (It is linear, with a slope of 0.2.)

D. First differences are 56-90 = -34, 26-56 = -30, 0-26 = -26. Second differences are -30-(-34) = 4, -26-(-30) = 4. These are constant (=4), so the relation is quadratic.

The appropriate choice is ...

... D. x -1 0 1 2 3 4

... f(x) 90 56 26 0 -22 -40

4 0

3 years ago

Read 2 more answers