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3 years ago

Find two numbers whose sum is -2 and whose difference is -6.

Mathematics

2 answers:

navik [9.2K]3 years ago

8 0

Step-by-step explanation:

x+y=-2

x-y=-6

x=-2-y

(-2-y)-y=-6

-2-2y=-6

-2y=-4

y=2

x=-4

adoni [48]3 years ago

5 0

Answer: -4 and 2

Step-by-step explanation:

Let the first number be x and the second number be y , then from the question:

$x + y = -2$ ........................ equation 1

$x - y = -6$ ...................... equation 2

solving the of simultaneous linear equation by substitution method , make x the subject of the formula from equation 1 , that is

$x = -2 - y$ ................. equation 3

substitute $x = -2 - y$ into equation 2 , then we have

$-2 - y - y = -6$

$-2 - 2y = -6$

$-2 + 6 = 2y$

$4 = 2y$

$y = 2$

substitute $y = 2$ into equation 3 to find the value of x , then we have

$x = -2 - 2$

$x = -4$

check:

$x + y = -2$

$-4 + 2 = -2$

Also

$x - y = -6$

-4 - 2 = -6

Therefore: the numbers are -4 and 2

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Please help im really confused<br><br> Which expression is equivalent to 4(7 + 8)?

Hatshy [7]

Answer:

With the answer choices:

A. 11 + 8

B. 11 + 12

C. 28 + 12

D. 28 + 32

The answer would be 28+32.

Step-by-step explanation:

Use the distributive law.

4 * 7 = 28

4 * 8 = 32

Hope this helps!

8 0

3 years ago

A recipe calls for 2 tablespoons of sugar for every 7 tablespoons of flour. If you plan on tripling the recipe what is the ratio

Karo-lina-s [1.5K]

you basically have to times it by 3 so

2:7

4:14

6:21

the answer would be 6 tablespoons of sugar to 21 tablespoons of flour

3 0

3 years ago

Read 2 more answers

HELP ASAP Calculate the residuals for your scatterplot in step 2d.

postnew [5]

The residuals of the linear regression equation are -1.36, 0.32, 0.01, 0.62, 0.17, -0.24, 0.89, 0.09, 0.18 and -0.7

<h3>How to determine the residuals?</h3>

The regression equation is given as:

y = 0.141x + 0.842

Next, we calculate the predicted values (y) at the corresponding x values.

So, we have:

y = 0.141 * 13.8 + 0.842 = 2.78

y = 0.141 * 18 + 0.842 = 3.38

y = 0.141 * 16.7 + 0.842 = 3.20

y = 0.141 * 18 + 0.842 = 3.38

y = 0.141 * 0.7 + 0.842 = 0.94

y = 0.141 * 21.9 + 0.842 = 3.93

y = 0.141 * 15.5 + 0.842 = 3.03

y = 0.141 * 9.2 + 0.842 = 2.14

y = 0.141 * 19.5 + 0.842 = 3.59

y = 0.141 * 16.7 + 0.842 = 3.20

The residuals are then calculated using:

Residual = Actual value - Predicted value

So, we have:

Residual = 1.42 - 2.78 = -1.36

Residual = 3.7 - 3.38 = 0.32

Residual = 3.21 - 3.20 = 0.01

Residual = 4 - 3.38 = 0.62

Residual = 1.11 - 0.94 = 0.17

Residual = 3.69 - 3.93 = -0.24

Residual = 3.92 - 3.03 = 0.89

Residual = 2.23 - 2.14 = 0.09

Residual = 3.77 - 3.59 = 0.18

Residual = 2.5 - 3.20 = -0.7

Hence, the residuals of the linear regression equation are -1.36, 0.32, 0.01, 0.62, 0.17, -0.24, 0.89, 0.09, 0.18 and -0.7

Read more about residuals at:

brainly.com/question/16180255

#SPJ1

6 0

2 years ago

9x-18i=-36+6yi solve for x and y

WARRIOR [948]

When i use " / " its the bar between, the divider.

X = - 2( 6 - iy - 3i ) / 3

Y = 3( x - 2i + 4 ) / 2i

5 0

3 years ago

Read 2 more answers

-x^2+4x-8 <br>axis of symmerty

V125BC [204]

Answer:

$\boxed {\boxed {\sf x=2}}$

Step-by-step explanation:

The axis of symmetry can be calculated using the formula:

$x=\frac{-b}{2a}$

First we must determine a and b from the quadratic: $-x^2+4x-8$ . This is in standard form, with the highest power first in descending order.

Standard form is also: $ax^2+bx+c$

If we compare this to the quadratic given, we can conclude that:

$a= -1 \\b= 4 \\c= -8$

Substitute the values for a and b into the formula.

$x= \frac{-(4)}{2(-1)}$

Multiply in the denominator.

$x=\frac {-4}{-2}$

Divide.

$x=2$

This can also be determined from the graph. It is the x-coordinate of the vertex or the maximum/minimum. It divides the quadratic into 2 symmetrical halves.

8 0

3 years ago