What is the solution set for (x+1)^2=49

Morgarella [4.7K]

Answer:

E) (-4, -3)

Step-by-step explanation:

To use elimination, you need to have one variable in both equations that have the same coefficient. (The coefficient is the number attached to the variable). Both equations have "7y".

The way elimination works is by eliminating one of the variables first. Decide how (-7y) and (-7y) can cancel out and become 0. You can either add or subtract.

(-7y) - (-7y) Try subtracting

= (-7y) + 7y

= 0

Based on this, we should subtract the whole equations.

Set up the equations like normal subtraction. Then, subtract each of the terms that have the same variable.

. 4x - 7y = 5

<u>- 9x - 7y = -15</u> Do 4x - 9x = -5x. -7y - (-7y) = 0. 5 - (-15) = 20.

. -5x - 0 = 20 "y" cancelled out

. -5x = 20 Isolate 'x'

. -5x/-5 = 20/-5 Divide both sides by -5

. x = -4 Solved x-coordinate

Substitute 'x' for -4 in any of the equations. Then simplify and isolate "y" to solve for the y-coordinate.

4x - 7y = 5

4(-4) - 7y = 5 Simplify the multiplication.

-16 - 7y = 5 Start isolating 'y' now

-16 + 16 - 7y = 5 + 16 Add 16 to both sides. Left side cancels out 16

-7y = 5 + 16 Solved right side by adding

-7y = 21

-7y/-7 = 21/-7 Divide both sides by -7

y = -3 Solved y-coordinate

Therefore the answer is (-4, -3).

5 0

3 years ago

Factor the polynomial x2 + 18x + 81 as the product of two binomials

hram777 [196]

Answer:

$(x+9)^2$

Step-by-step explanation:

We have the polynomial x^2 + 18x + 81 and are being asked to factor this into two binomials.

A rule that I follow is what two numbers multiplied make c (in this case 81) and when added make b (in this case is 18).

So what two numbers when :

A. Multiplied make 81

B. Added make 18

This would be 9.

Now that we have the answer, we can put it into binomials.

(x + 9)(x + 9)

Since these are the same, we can combine it and make it into one.

$(x+9)^2$

3 0

3 years ago

A recipe for a large batch of brownies uses one kilogram of sugar. Another recipe uses 800 grams of flour. How much sugar is nee

Nady [450]

1,600 800+800=1,600 this is your answer

7 0

3 years ago

Please help me fast!!

elixir [45]

Answer:

$y = -\frac{1}{4}x$

Step-by-step explanation:

1. The slope-intercept form of a linear equation is $y = mx + b$ , where y = y-coordinate, m = slope, x = x-coordinate, and b = slope.

2. To find the slope, let's take the two points (0,0) and (-40,10). After that, let's plug in the values to their corresponding variable in the formula: $\frac{y_2-y_1}{x_2-x_1}$

$\frac{10-0}{-40-0}$
$\frac{10}{-40}$
$-\frac{1}{4}$

3. Since we now know our slope, the equation looks like this so far: $y = -\frac{1}{4}x + b$ .

4. Because b is the y-intercept, b = 0 because the line intersects the y-axis at (0,0).

5. Now that we have the values of m and b, we plug in them to get the equation of: $y=-\frac{1}{4}x$

3 0

3 years ago

The data below represent the ages of people working at a store.

Slav-nsk [51]

Answer:

The first step is sort the values on increasing order and we got:

18, 18, 19, 19, 19, 20, 22, 23. 25, 26, 31

And in order to find the first quartile we can separate the first 5 lowest values from the largest 5 values. And for this case we focus on these values:

18, 18, 19, 19, 19

And if we find the median of the last 5 values we can find the first quartile and we got:

$Q_1 = 19$

The best answer would be:

19

Step-by-step explanation:

For this problem we have the following dataset:

18, 26, 19, 25, 19, 23, 31, 22, 19, 18, 20

The first step is sort the values on increasing order and we got:

18, 18, 19, 19, 19, 20, 22, 23. 25, 26, 31

And in order to find the first quartile we can separate the first 5 lowest values from the largest 5 values. And for this case we focus on these values:

18, 18, 19, 19, 19

And if we find the median of the last 5 values we can find the first quartile and we got:

$Q_1 = 19$

The best answer would be:

19

4 0

3 years ago