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3 years ago

Solve 20x+ 5y = 15 for y.

Mathematics

1 answer:

Nesterboy [21]3 years ago

5 0

20x+ 5y = 15

Move 20x to the other side. Sign changes from +20x to -20x

20x-20x+5y=-20x+15

5y=-20x+15

Divide both sides by 5

5y/5=y ( Cross out 5 and 5, divide by 5, 1*1*y=y)

-20/5=-4x

15/5=3

y=-4x+3 or y=3-4x

Answer: y=-4x+3 or y=3-4x

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Which is the graph of y - 3 = -2/3(x + 6)?

Nonamiya [84]

Answer:

Step-by-step explanation:

y - 3 = -2/3(x + 6) Remove the brackets on the right

y - 3 = -2/3x - 2/3 * 6 Simplify the right

y - 3 = -2/3x - 4 Add 4 to both sides

y = - 2/3 x - 1

I'm going to enclose the graph. Pick the one that has a y intercept at (0,-1) and and an x intercept of (-1.5, 0)goes from the lower right to the upper left as the graph below shows.

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2 years ago

a gardenner is designing a new garden in the shape of a trapezoing she wants the short base to be twice the height and loger bas

taurus [48]

Answer:

Height = 5 ft

Short base = 10 ft

Long base = 14 ft

Step-by-step explanation:

Let h = height, a = short base, b = long base.

From the question,

a = 2h

b = a + 4 = 2h + 4

The area of the trapezoid is given by $\frac{1}{2}(a+b)h$ . Thus,

$60 = \frac{1}{2}(2h + 2h + 4)h$

$60 = \frac{(4h + 4)h }{2}$

$60 = \frac{4h(h + 1)}{2}$

$60 = 2h(h + 1)$

$30 = h(h + 1)$

$0 = h^2 + h - 30$

$0 = (h+6)(h-5)$

$h-5 = 0$ or $h+6 = 0$

$h= 5$ or $h = -6$

We discard the negative value of h since it is a measurement and cannot be negative.

$h= 5$

$a= 2h=2\times5=10$

$b= a+4=10+4=14$

6 0

3 years ago

Anna makes 120 dolls each month to sell. This month, she increases the number of dolls she makes by 30%. How many dolls does Ann

Tresset [83]

30% = .3

120 x .3 = 40

120 + 40 = 160

Anna makes 160 dolls

5 0

3 years ago

If a number a is chosen at random from the set

Paraphin [41]

Answer:

D. 3/19

Step-by-step explanation:

12/1 = 12

12/2 = 6

12/3 = 4

These are the only ones that make the equation true.

There are also only 19 numbers because they need to be less than 20 like the question indicated. Therefore, the answer is D.

7 0

2 years ago

If : f(x)=x^2, g(x)=x-1. Find (f×g)(x).<br>

kramer

Answer:

$\boxed{ f\cdot{g}(x) = x {}^{3} - x {}^{2}}$

Step by step explanation:

Given that,

$f(x) = {x}^{2}$

$g(x) = x - 1$

Solution:

Solving for (f•g)(x):

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

Now substitute the given values.

$= x {}^{2} \cdot(x - 1)$

$= x {}^{2} (x - 1)$

Apply distributive property:

$= (x ^{2} \cdot x) - x {}^{2} \cdot 1$

$\boxed{ f\cdot{g}(x) = x {}^{3} - x {}^{2}}$

Hence,f•g(x) will be $x {}^{3} - x {}^{2}$ .

8 0

2 years ago