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2 years ago

Solve for h: -2/3h-4=4/3

Mathematics

1 answer:

Sindrei [870]2 years ago

3 0

Isolate the variable by dividing each side by factors that don't contain the variable.

h = −8

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f(x)= 1/x, vertically stretched by a factor of 7, reflected in the y-axis, translated 5 units to the right, and translated 3 uni

Harman [31]

Answer:

-7/(x-5) - 3

Step-by-step explanation:

First off, to reflect an equation in the y axis, just multiply by -1. Now that it is reflected, to stretch an equation by a factor of 7, multiply it by 7. Now we have -7/x.

Then, to move an equation down by 3 units, simply subtract it by 3. Now we have -7/x - 3.

Lastly, since you want to translate it 5 units to the left, you want the equation to be undefined at x = 5 (because originally it is undefined at x = 0). To do that, set the denominator to x - 5. We arrive at our answer: -7/(x-5) - 3.

8 0

3 years ago

Evaluate the expression for the value 5 X (h + 3) for h= 7

horrorfan [7]

Answer:

35x + 15

Step-by-step explanation:

5x(7 + 3)

35x + 15

8 0

2 years ago

Read 2 more answers

For the first 30 km, the bicyclist rode with a speed of v km/hour. For the remaining 17 km he rode with a speed which was 2 km/h

damaskus [11]

Answer:

t= 2.52 hours

Step-by-step explanation:

It is given that for first 30 km, the speed of bicyclist is v km/hour

time taken to cover first 30 km is given by

$t_{1} =\frac{30}{v}$ ( $time=\frac{distance}{speed}$ )

for next 17 km the speed of bicyclist is 2 km/hour greater than his original speed

so the speed to cover next 17 km = v+2

time taken to cover next 17 km is given by

$t_{2} =\frac{17}{v+2}$

now total time t spent by the bicyclist to cover entire trip is given by

$t=t_{1} +t_{2}$

$t=\frac{30}{v} +\frac{17}{v+2}$

now if v=18 , we have

$t=\frac{30}{18} +\frac{17}{20}$

now to add fractions we make the denominator same

Hence we will find the LCM of 18 and 20

LCM of 18 and 20 = 180

now we need to make both the denominator equal to 180

$t=\frac{30(10)}{18(10)} +\frac{17(9)}{20(9)}$ $t=\frac{300}{180} +\frac{153}{180} =\frac{300+153}{180}$

$t=\frac{453}{180} =2.52$ hours (approx)

7 0

3 years ago

Solve the system of equations by substitution

fenix001 [56]

I hope you can read my writing and hope this helps

4 0

2 years ago

Jason had to replace the floor of a triangular portion of his dining room. The portion had a height that was twice as high as th

Eva8 [605]

Answer:

4 feet

Step-by-step explanation:

We know the the area of a triangle can be represented as $\frac{bh}{2}$ .

Since the height is twice the base, we can substitute the value $2b$ in as $h$ in the expression, making it $\frac{b\cdot2b}{2}$ . If the area is 16, we can make the equation

$\frac{b\cdot2b}{2} = 16$

Now to solve for b.

$\frac{2b^2}{2} = 16\\\frac{2b^2}{2}\cdot2 = 16\cdot2\\\\2b^2 = 32\\\\2b^2\div2 = 32\div2\\\\b^2 = 16\\\\b=4$

Hope this helped!

3 0

3 years ago