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RSB [31]
3 years ago
7

Solve for the equation for x. 3(10 – 4x) + 6 = 12

Mathematics
1 answer:
AVprozaik [17]3 years ago
3 0

Answer:

Step-by-step explanation:

3(10 – 4x) + 6 = 12

first you need to use the distributive property

30 – 12x + 6 = 12

then subtract 6 from each side

30 – 12x = 6

then subtract 30 from each side

– 12x = -24

divide both sides by negative 12

x = 2

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The gradiant y=2x³-5x+1 at point (2,7)​
olga2289 [7]

Given:

The equation of the curve is:

y=2x^3-5x+1

To find:

The gradient (slope) of the given curve at point (2,7).

Solution:

We have,

y=2x^3-5x+1

Differentiate the given equation with respect to x.

y=2(3x^2)-5(1)+(0)

y'=6x^2-5

Now we need to find the value of this derivative at (2,7).

y'_{(2,7)}=6(2)^2-5

y'_{(2,7)}=6(4)-5

y'_{(2,7)}=24-5

y'_{(2,7)}=19

Therefore, the gradient (slope) of the given curve at point (2,7) is 19.

8 0
3 years ago
A piece of paper is 11 inches long and 8.5 inches wide. What is the area of the paper in square centimeters? (Please show work!)
goldenfox [79]
If you would like to know what is the area of the paper in square centimeters, you can calculate this using the following steps:

1 inch equals to 2.54 centimeters.

11 inches = 11 * 2.54 = <span>27.94 centimeters long
8.5 inches = 8.5 * 2.54 = </span><span>21.59 centimeters wide

11 inches long * 8.5 inches wide = 27.94 centimeters long * 21.59 centimeters wide = </span>27.94 * 21.59 = 603.22 square centimeters
<span>
The correct result would be </span>603.22 square centimeters.<span>
</span>
3 0
3 years ago
Area =<br> Help me please :(
butalik [34]

Answer: 36

Step-by-step explanation:

area of a triangle: base times height then divide by two

4 0
2 years ago
A recipe calls for 2/3 of cups of milk for 11 cookies. How many cups of milk are needed to make 165 cookies?
Darina [25.2K]

Answer:

10 cups of milk

Step-by-step explanation:

Make a proportion, where x is the number of cups of milk for 165 cookies:

\frac{2/3}{11} = \frac{x}{165}

Cross multiply and solve for x:

11x = 110

x = 10

So, 10 cups of milk are needed to make 165 cookies

8 0
3 years ago
BRIANILEST!!!!Which lines are parallel? Check all that apply.
spin [16.1K]

Answer:

b║f

c║e

Step-by-step explanation:

Given a diagram,

Lines b, c, d, e, f and a transversal line 'a'.

Here line 'b' makes an angle with line 'a' is 89.5° and line 'f' makes an angle with line 'a' is also 89.5° (180°-90.5° = 89.5°)

Since corresponding angles are same.

So, line 'b' is parallel to line 'f'.

And line 'c' makes an angle with line 'a' is 91.5° and line 'e' makes an angle with line 'a' is also 91.5° (180°-88.5° = 91.5°)

Since corresponding angles are same.

So, line 'c' is parallel to line 'e'.

Therefore,

b║f

c║e

That's the final answer.

4 0
4 years ago
Read 2 more answers
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