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3 years ago

What is an algebraic equation for four times a number y is sixteen

Mathematics

1 answer:

Len [333]3 years ago

3 0

4y=16

y is the variable. If you were to solve the equation you would write the equation as 4(4)=16.

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3 years ago

write an equation in slope-intercept form of the line that passes through the given point and given slope, (-5,-3);slope =-3/5

arsen [322]

Answer:

y= $\frac{-3}{5}x-6$

Step-by-step explanation:

Hi there!

We are given the point (-5, -3), and a slope of -3/5

We want to write the equation of the line in slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope, and b is the y intercept

As we are already given the slope, we can immediately plug it into the equation

y= $\frac{-3}{5}x$ +b

We need to find b, though

We can use (-5, -3) to help us, as the equation will pass through that line

Substitute the value of x as -5 and the value of y as -3 to solve for b

-3= $\frac{-3}{5}*-5+b$

Now, on the right, multiply -3/5 and 5 together

-3=3+b

Subtract 3 from both sides

-6=b

Substitute 6 as b in the equation

y= $\frac{-3}{5}x$ -6

Hope this helps!

4 0

3 years ago

Find the average value of the function over the given interval. (Round your answer to three decimal places.) f(x) = −sin x, [0,

deff fn [24]

Answer with Step-by-step explanation:

We are given that

$f(x)=-sin x$

$[0,\infty]$ ]

Average value of the function is given gy

$f_{avg}=\frac{1}{b-a}\int_{a}^{b}f(x)dx=\frac{1}{\pi-0}\int_{0}^{\pi}-sinx dx$

$f_{avg}=\frac{1}{\pi}[cosx]^{\pi}_{0}$

Using the formula

$\int sin xdx=-cos x$

$f_{avg}=\frac{1}{\pi}(cos\pi-cos0)$

$f_{avg}=\frac{1}{\pi}(-1-1)=-\frac{2}{\pi}$

$f(x)=f_{avg}$

$-sinx=-\frac{2}{\pi}$

$sinx=\frac{2}{\pi}$

$x=sin^{-1}(\frac{2}{\pi})=0.69radian$

7 0

3 years ago