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3 years ago

Write an expression to represent "the sum of triple a number and fifteen."

Mathematics

1 answer:

lana66690 [7]3 years ago

3 0

The sum is adding
3 times a number is 3x
And 15 is +15
3x+15

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X/a+x/b=1<br>make x the subject of the formular

monitta

Answer:

x = $\frac{ab}{b+a}$

Step-by-step explanation:

Given

$\frac{x}{a}$ + $\frac{x}{b}$ = 1

Multiply through by ab to clear the fractions

bx + ax = ab ← factor out x from each term on the left side

x(b + a) = ab ← divide both sides by (b + a)

x = $\frac{ab}{b+a}$

8 0

3 years ago

Two fewer than a number doubled is the same as the number decreased by 38. if n is "the number," which equation could be used to

Alona [7]

$\displaystyle \\ 
\text{We use the following equation:} \\ \\ 
 \frac{n}{2} = n - 38 \\ \\ 
We solve for n: \\ \\ 
 \frac{n}{2} = n - 38 ~~\Big| \times 2 \\ \\ 
n = 2 \times n - 2 \times 38 \\ \\ 
n = 2n - 76 \\ \\ 
2n - n = 76 \\ \\ 
\boxed{n = 76} \\ \\ 
\text{Verification: } \\ \\ 
\frac{n}{2} = n - 38 \\ \\ 
\frac{76}{2} = 76 - 38 \\ \\ 
\boxed{38 = 38 ~~~ Correct }$

8 0

3 years ago

F(x) = x^2 is stretched vertically by a factor of 4 and shifted 1 unit down.<br><br> equation = ???

LenKa [72]

Answer:

f(x) = 4x² - 1

Step-by-step explanation:

The given function is; f(x) = x²

Now, when stretched vertically by a factor of 4, we have;

f(x) = 4x²

It's now shifted 1 unit down.. Thus, the final function will be;

f(x) = 4x² - 1

6 0

2 years ago

Identify the independent and dependent quantity in each situation. The cost of a long distance telephone call increases with the

blsea [12.9K]

Minutes is independent and the cost is dependent

time is mostly always independent and cost is depending on the amount of time

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2 years ago

Solve for x. Write the smaller solution first, and the

Leni [432]

Answer:

$x^{1} =-9.41\\x^{2} =-6.58$

Step-by-step explanation:

7 0

3 years ago