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3 years ago

Write and solve the following problem- 4(x-9)-2x=-3x+14

Mathematics

1 answer:

Kobotan [32]3 years ago

4 0

Step-by-step explanation:

4x - 36 = -3x + 14

7x = 14 + 36

7x = 50

x = 7.14

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What is the y-intercept of a line that has a slope of 3 and passes through point (–1, –7)?

Stells [14]

Answer:

y-intercept is -4

Step-by-step explanation:

(Refer to image)

Substitute the point and slope with the slope formula: y=mx+b and simplify

3 0

2 years ago

Please help ! Will mark brainliest!

Brrunno [24]

Answer:

Step-by-step explanation:

if he works overtime for ten hours and earned $120 he makes $12 overtime pay. If you divide that by time and a half it's 8

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3 years ago

Help me solve this Algebra problem please

sp2606 [1]

Answer:

39858075

Step-by-step explanation:

Hello,

One basic way to see it is to compute the values.

75 = 25 * 3

225 = 75 * 3

675 = 225 * 3

etc ...

We can notice that this is multiplied by 3 every 10 years so we can compute as below.

year population

1970 25

1980 75

1990 225

2000 675

2010 2025

2020 6075

2030 18225

2040 54675

2050 164025

2060 492075

2070 1476225

2080 4428675

2090 13286025

2100 39858075

So the correct answer is 39858075

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

4 0

3 years ago

Suppose h(x)=3x-2 and j(x) = ax +b. Find a relationship between a and b such that h(j(x)) = j(h(x))

sergejj [24]

Answer:

$\displaystyle a = \frac{1}{3} \text{ and } b = \frac{2}{3}$

Step-by-step explanation:

We can use the definition of inverse functions. Recall that if two functions, f and g are inverses, then:

$\displaystyle f(g(x)) = g(f(x)) = x$

So, we can let j be the inverse function of h.

Function h is given by:

$\displaystyle h(x) = y = 3x-2$

Find its inverse. Flip variables:

$x = 3y - 2$

Solve for y. Add:

$\displaystyle x + 2 = 3y$

Hence:

$\displaystyle h^{-1}(x) = j(x) = \frac{x+2}{3} = \frac{1}{3} x + \frac{2}{3}$

Therefore, a = 1/3 and b = 2/3.

We can verify our solution:

$\displaystyle \begin{aligned} h(j(x)) &= h\left( \frac{1}{3} x + \frac{2}{3}\right) \\ \\ &= 3\left(\frac{1}{3}x + \frac{2}{3}\right) -2 \\ \\ &= (x + 2) -2 \\ \\ &= x \end{aligned}$

And:

$\displaystyle \begin{aligned} j(h(x)) &= j\left(3x-2\right) \\ \\ &= \frac{1}{3}\left( 3x-2\right)+\frac{2}{3} \\ \\ &=\left( x- \frac{2}{3}\right) + \frac{2}{3} \\ \\ &= x \stackrel{\checkmark}{=} x\end{aligned}$

3 0

2 years ago

A store is having a sale. You can buy 14 cards for $6. What is the cost of 35 cards during this sale?

skad [1K]

Answer:

15$

Step-by-step explanation:

14=$6

35=6*35/14

5 0

3 years ago