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3 years ago

The value of y varies directly with x, and y=10 when x=4. Find x when y=14.

1 answer:

5 0

$y=10\ \ \ and\ \ \ x=4\\\\
y=14\ \ \ and\ \ \ x=?\\\\
Making\ ratio:\\
10-4\\14-x\\\\
Cross\ multiplication:\\
10x=4*14\\
10x=56\ \ \ |Divide\ by\ 10\\x=5,6\\\\solution\ is\ x=5,6.$

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First you transform the expression and then evaluate the power

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3 years ago

2 2/3 + 12 6/8 how do I work this

barxatty [35]

Answer:

$\large\boxed{2\dfrac{2}{3}+12\dfrac{6}{8}=15\dfrac{5}{12}}$

Step-by-step explanation:

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3 years ago

Which of the following could NOT

Mama L [17]

Answer:

Step-by-step explanation:

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2 years ago

Let f(x)=x^2f ( x ) = x 2. Find the Riemann sum for ff on the interval [0,2][ 0 , 2 ], using 4 subintervals of equal width and t

sladkih [1.3K]

Answer:

$A_L=1.75$

Step-by-step explanation:

We are given:

$f(x)=x^2$

$interval = [a,b] = [0,2]$

Since $n = 4$ ⇒ $\Delta x = \frac{b-a}{n} = \frac{2-0}{4}=\frac{1}{2}$

Riemann sum is area under the function given. And it is asked to find Riemann sum for the left endpoint.

$A_L= \sum\limits^{n}_{i=1}\Delta xf(x_i) = \frac{1}{2}(0^2+(\frac{1}{2})^2+1^2+(\frac{3}{2})^2)=\frac{7}{4}=1.75$

Note:

If it will be asked to find right endpoint too,

$A_R=\sum\limits^{n}_{i=1}\Delta xf(x_i) =\frac{1}{2}((\frac{1}{2})^2+1^2+(\frac{3}{2})^2+2^2)=\frac{15}{4}=3.75$

The average of left and right endpoint Riemann sums will give approximate result of the area under $f(x)=x^2$ and it can be compared with the result of integral of the same function in the interval given.

So, $(A_R+A_L)/2 = (1.75+3.75)/2=2.25$

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Result are close but not same, since one is approximate and one is exact; however, by increasing sample rates (subintervals), closer result to the exact value can be found.

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3 years ago

Identify the method that will be used to solve for x for each equation. 4x = 20

kotegsom [21]

Divide 4 on each side and X will be = to 5

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X = 5

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2 years ago