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4 years ago

Which are the coordinates of the x-intercept in the equation -4x + 5y = 20?

Mathematics

1 answer:

forsale [732]4 years ago

7 0

Answer:

The x intercept is (-5,0)

Step-by-step explanation:

1. First, it would be helpful to rewrite the equation to be in y=mx+b form.

5y=4x+20

y=(4/5)x+4

2. Then, plug in 0 for y.

0=(4/5)x+4

3. Then, solve.

-4=(4/5)x

-20=4x

x=-5

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Follow the process of completing the square to solve 2x2 + 8x - 12 = 0. After adding B2 to both sides of the equation in step 4,

Sladkaya [172]

Answer:

Step-by-step explanation:

I dont quite understand the problem but this is one way to solve it using completing the square:-

2x^2 + 8x - 12 = 0

2(x^2 + 4x) - 12 = 0

2((x + 2)^2 - 4) = 12

2(x + 2)^2 - 8 + 8 = 12 + 8

2(x + 2)^2 = 20

6 0

3 years ago

a. Un equipo de tenis de mesa ganó 21 juegos y perdió 12 juegos, ¿cuál es la razón entre ganados y perdidos?

True [87]

Answer:

The ratio between won and lost is $\frac{7}{4}$

Step-by-step explanation:

<u><em>The question in English is</em></u>

A table tennis team won 21 games and lost 12 games, what is the ratio between won and lost?

Let

x ------> the number of games won

y -----> the number of games lost

we have

$x=21\ games$

$y=12\ games$

we know that

To find the ratio divide the number of games won by the number of games lost

$\frac{x}{y}$

substitute the values

$\frac{21}{12}$

Simplify

$\frac{7}{4}$

4 0

3 years ago

From 1960 to 2010, a certain money stock measure was growing at the rate of approximately 43e(1/2)x billion dollars per decade,

natulia [17]

Answer:

1222 billion dollars.

Step-by-step explanation:

To find the total increase from 1960 to 2010, we need to find the growth of each decade and sum them all:

In the period 1960-1970, we have x = 1, and the growth is:

$y(1) = 43e(1/2) = 70.895$

In the period 1970-1980, we have x = 2, and the growth is:

$y(2) = 43e(2/2) = 116.8861$

The growth in the following 3 periods are:

$y(3) = 43e(3/2) =192.7126$

$y(4) = 43e(4/2) = 317.7294$

$y(5) = 43e(5/2) =523.8472$

So the total growth in the period 1960 - 2010 is:

$Total = y(1) + y(2) + y(3) + y(4) + y(5)$

$Total = 70.895 + 116.8861+192.726+317.7294+523.8472$

$Total = 1222.08\ billion\ dollars$

Rounding to the nearest billion dollars, we have a total of 1222 billion dollars.

6 0

3 years ago

Please help seems easy just can’t figure out the answer

madreJ [45]

Answer:

b is 125

Step-by-step explanation:

8 0

3 years ago

A short necklace has 32 gold beads and 8 black beads.

joja [24]

Answer:

12 black beads

Step-by-step explanation:

Given the ration of gold beads to black beads on the short necklace:

$\frac{gold}{black}=\frac{32}{8}=\frac{4}{1}$

Since the ratio of 4:1 has 5 total parts, you can take the total amount of beads in the long necklace and divide by 5:

60 ÷ 5 = 12

12 beads represents 1 part of the ratio, so that would be the number of black beads. To check, multiply 12 by 4: 12 x 4 = 48, and set up a ratio:

48: 12 = 4: 1

3 0

3 years ago