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yulyashka [42]
3 years ago
10

Add 15 to x to find y

Mathematics
1 answer:
Arturiano [62]3 years ago
3 0

Answer:

If you have to find y you would get rid of the x. so if the x is alone then you do the opposite of the equation to get y by it's self and when you do you have what y equals to

Step-by-step explanation:

You might be interested in
At what point on the paraboloid y = x2 + z2 is the tangent plane parallel to the plane 3x + 2y + 7z = 2? (if an answer does not
Nikitich [7]
If f(x, y, z) = c represent a family of surfaces for different values of the constant c. The gradient of the function f defined as \nabla f is a vector normal to the surface f(x, y, z) = c.

Given <span>the paraboloid

y = x^2 + z^2.

We can rewrite it as a scalar value function f as follows:

f(x,y,z)=x^2-y+z^2=0

The normal to the </span><span>paraboloid at any point is given by:

\nabla f= i\frac{\partial}{\partial x}(x^2-y+z^2) - j\frac{\partial}{\partial y}(x^2-y+z^2) + k\frac{\partial}{\partial z}(x^2-y+z^2) \\  \\ =2xi-j+2zk

Also, the normal to the given plane 3x + 2y + 7z = 2 is given by:

3i+2j+7k

Equating the two normal vectors, we have:
</span>
2x=3\Rightarrow x= \frac{3}{2}  \\  \\ -1=2 \\ \\ 2z=7\Rightarrow z= \frac{7}{2}

Since, -1 = 2 is not possible, therefore there exist no such point <span>on the paraboloid y = x^2 + z^2 such that the tangent plane is parallel to the plane 3x + 2y + 7z = 2</span>.
4 0
3 years ago
Solve the equation showing each inverse operation step:
valina [46]

Answer:

4 2/7 - 6/7 = 24/

7

= 3 3/

7

Step-by-step explanation:

Conversion a mixed number 4 2/

7

to a improper fraction: 4 2/7 = 4 2/

7

= 4 · 7 + 2/

7

= 28 + 2/

7

= 30/

7

To find a new numerator:

a) Multiply the whole number 4 by the denominator 7. Whole number 4 equally 4 * 7/

7

= 28/

7

b) Add the answer from previous step 28 to the numerator 2. New numerator is 28 + 2 = 30

c) Write a previous answer (new numerator 30) over the denominator 7.

Four and two sevenths is thirty sevenths

Subtract: 30/

7

- 6/

7

= 30 - 6/

7

= 24/

7

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(7, 7) = 7. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 7 × 7 = 49. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - thirty sevenths minus six sevenths = twenty-four sevenths.

5 0
2 years ago
Olaf wants to buy a guitar that costs $600. He makes $3 per day. How many days will it take Olaf to save enough money to buy the
astraxan [27]

Answer:

200 days

Step-by-step explanation:

600/3 = 200

3x 200 = 600

8 0
3 years ago
Read 2 more answers
Help!! Solving absolute value inequalities
goblinko [34]

Answer:

48. x \geq -7 or x \leq 31

51. x \leq 13 or x \geq 3

54. x < \frac{5}{2} or x > \frac{-15}{2}

57. x < \frac{18}{7} or x > -4

Step-by-step explanation:

48. | 12 - x | \leq 19

-There are two equations:

Equation 1:

12 - x \leq 19

      or

Equation 2:

12 - x \geq -19

Solving equation 1:

12 - x \leq 19

12- 12 - x \leq 19 - 12

-x \leq 7

\frac{-x}{-1} \leq \frac{7}{-1}

x \geq -7 (Inequality sign changed, because of dividing by a negative number)

-Solving equation 2:

12 - x \geq -19

12 - 12  - x \geq -19 - 12

-x \geq -31

\frac{-x}{-1} \geq \frac{-31}{-1}

x \leq 31 (Inequality sign changed, because of dividing by a negative number)

-Answers:

x \geq -7 or x \leq 31

51. | x - 8 | \leq 5

-There are two equations:

Equation 1:

x - 8 \leq 5

    or

Equation 2:

x - 8 \geq - 5

-Solving equation 1:

x - 8 \leq 5

x - 8 + 8 \leq 5 + 8

x \leq 13

-Solving equation 2:

x - 8 \geq - 5

x - 8 + 8 \geq - 5 + 8

x \geq 3

Answers:

x \leq 13 or x \geq 3

54. | 4x + 10 | < 20

-There are two equations:

Equation 1:

4x + 10 < 20

     or

Equation 2:

4x + 10 > -20

-Solving equation 1:

4x + 10 < 20

4x + 10 - 10 < 20 - 10

4x < 10

\frac{4x}{4} < \frac{10}{4}

x < \frac{5}{2}

-Solving equation 2:

4x + 10 > -20

4x + 10 - 10 > -20 - 10

4x > -30

\frac{4x}{4} > \frac{-30}{4}

x > \frac{-15}{2}

-Answers:

x < \frac{5}{2} or x > \frac{-15}{2}

57. | 7x + 5 | < 23

-There are two equations:

Equation 1:

7x + 5 < 23

     or

Equation 2:

7x + 5 > -23

-Solving equation 1:

7x + 5 < 23

7x + 5 - 5 < 23 - 5

7x < 18

\frac{7x}{7} < \frac{18}{7}

x < \frac{18}{7}

Solving equation 2:

7x + 5 > -23

7x + 5 - 5  > -23 - 5

7x > -28

\frac{7x}{7} > \frac{-28}{7}

x > -4

Answers:

x < \frac{18}{7} or x > -4

And we are finished.

<u />

5 0
3 years ago
Find the value of h(-67) for the function below. h(x) = -49x − 125 A. 3,283 B. -3,408 C. 3,158 D. -1.18
Paraphin [41]

Answer:

<h2>The answer is option C</h2>

Step-by-step explanation:

h(x) =  - 49x - 125

To find h(-67) , substitute the value of x that's - 67 into h(x). That is for every x in h(x) , replace it with - 67

We have

h( - 67) =  - 49( - 67) + 125 \\  = 3283 - 125

We have the final answer as

<h3>h( - 67) = 3158</h3>

Hope this helps you

3 0
3 years ago
Read 2 more answers
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