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3 years ago

What is the x-coordinate of the solution of the following system of equations?

1 answer:

8 0

Plug in the x value from the second equation
3(-y+2)+2y=12
use distributive property.
-3y+6+2y=12
since the y values are in the same side of the = sign, just put them together.
-y+6=12
subtract 6 from 6 and 12.
-y=6
since the equation has a negative y, divide what is left by -1.
y= -6.
that is the y value. now plug that in to the first equation.
3x+2(-6)=12
multiply.
3x-12=12add 12 to both 12s
3x=24
divide.
x=8.

the ordered pair is (8, -6), and the x value is 8.

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The larger of two number is 4 less than twice the smaller number. the sum is 41. find the numbers

erastova [34]

X + (2x-1) = 41

3x - 1= 41

3x = 42

x = 14

14 and 27

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3 years ago

Read 2 more answers

Starting at noon, the temperature dropped steadily at a rate of 0.08 degrees Celsius every hour.

dangina [55]

Answer:

a. 55 hours

b. 1.9 degrees C

Step-by-step explanation:

This means for each hour the temperature drops 0.08. This is the expression 0.08x where x is number of hours.

a.) If the temperature has dropped 4.4, then 4.4 = 0.08x. Solving for x will give the number of hours it takes to drop 4.4.

4.4 = 0.08x

4.4 / 0.08 = x

55 = x

b.) If the temperature after 55 hours and dropping 4.4 is -2.5, then the temperature at the start would be -2.5 + 4.4 = 1.9. The temperature at noon was 1.9 degrees celsius.

6 0

3 years ago

Least to greatest;]

alexandr1967 [171]

Answer:

Least to greatest is: 0.0625, 6.75% and $\frac{7}{10}$ .

Step-by-step explanation:

Given:

The three quantities to compare are:

6.75%, 0.0625, and $\frac{7}{10}$

Let us convert each into percentage.

6.75% is already in percentage.

We multiply a number by 100 to convert it to percentage form.

So, $0.0625\times 100=6.25\%$

$\frac{7}{10}\times 100=\frac{700}{10}=70\%$

Now, on comparing all the three percentage, we conclude that,

70% is the greatest and 6.25% is the least.

So, order from least to greatest is:

$6.25\%$

5 0

3 years ago

Thomas needs to buy a cardboard sheet that will allow him to make his 224 in 3 box. To help construct the box, he decided to cut

Slav-nsk [51]

Answer:

Part 1; The volume of the box Thomas wants to make is 224 = 2·w² + 12·w

Part 2; The zeros for the equation of the function, are w = -14, or w = 8

Part 3

The width of the box is 8 inch

The length of the box, is 14 inches

The height of the box, is given as 2 inches

Part 4

Please find attached the graph of the function

Step-by-step explanation:

Part 1

The volume of the box Thomas wants to make, V = 224 in.³

The dimensions he cuts out from the length and width = 2 in² each

The length of the box = 6 inches + The width of the box

Let l represent the length of the box and let w represent the width of the box, we have;

l = 6 + w

The height of the box, h = The length of the cut out square = 2 inches

The volume of the box, V = Length, l × Width, w × Height, h

∴ V = l × w × h

l = 6 + w, h = 2

∴ V = (6 + w) × w × 2

V = 2·w² + 12·w,

The equation of the volume of the box, V = 2·w² + 12·w, where, V = 224

∴ 224 = 2·w² + 12·w

Part 2

The zeros of the equation for the volume of the box, V = 2·w² + 12·w, where, V = 224 are found as follows;

V = 224 = 2·w² + 12·w

∴ 2·w² + 12·w - 224 = 0

Dividing by 2 gives;

(2·w² + 12·w - 224)/2 = w² + 6·w - 112 = 0

∴ (w + 14) × (w - 8) = 0

The zeros for the equation of the function, are w = -14, or w = 8

Part 3

We reject the value, w = -14, therefore, the width of the box, w = 8 inch

The length of the box, l = 6 + w

∴ l = 6 + 8 = 14

The length of the box, l = 8 inches

The height of the box, h, is given as h = 2 inches

Part 4

The graph of the function created with MS Excel is attached

4 0

3 years ago

Help please!! Solve for y.

Nimfa-mama [501]

Answer:

y = 3 $\sqrt{7}$

Step-by-step explanation:

The 2 right triangles inside the right triangle are similar, then ratios of corresponding sides are equal, that is

$\frac{y}{9}$ = $\frac{7}{y}$ ( cross- multiply )

y² = 63 ( take the square root of both sides )

y = $\sqrt{63}$ = 3 $\sqrt{7}$

7 0

3 years ago