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3 years ago

The difference between 3 times a number x and 2 is 19. What is the value of x?

Mathematics

1 answer:

Ber [7]3 years ago

6 0

Answer:

the value of x is 7.

Step-by-step explanation:

2+19=21

21÷3=7

Check:

3×7=21

21-2=19

Therefore, 7 is the answer.

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What is the value of ?<br> 18 - (2 x ? ) = ? x 4

Dmitry_Shevchenko [17]

Answer:

?= 3

Step-by-step explanation:

let x = ？

18-2x=4x

6x=18x

x=3

6 0

3 years ago

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One of the roots of the quadratic equation dx^2+cx+p=0 is twice the other, find the relationship between d, c and p

scZoUnD [109]

Answer:

$c^2 = 9dp$

Step-by-step explanation:

Given

$dx^2 + cx + p = 0$

Let the roots be $\alpha$ and $\beta$

So:

$\alpha = 2\beta$

Required

Determine the relationship between d, c and p

$dx^2 + cx + p = 0$

Divide through by d

$\frac{dx^2}{d} + \frac{cx}{d} + \frac{p}{d} = 0$

$x^2 + \frac{c}{d}x + \frac{p}{d} = 0$

A quadratic equation has the form:

$x^2 - (\alpha + \beta)x + \alpha \beta = 0$

So:

$x^2 - (2\beta+ \beta)x + \beta*\beta = 0$

$x^2 - (3\beta)x + \beta^2 = 0$

So, we have:

$\frac{c}{d} = -3\beta$ -- (1)

and

$\frac{p}{d} = \beta^2$ -- (2)

Make $\beta$ the subject in (1)

$\frac{c}{d} = -3\beta$

$\beta = -\frac{c}{3d}$

Substitute $\beta = -\frac{c}{3d}$ in (2)

$\frac{p}{d} = (-\frac{c}{3d})^2$

$\frac{p}{d} = \frac{c^2}{9d^2}$

Multiply both sides by d

$d * \frac{p}{d} = \frac{c^2}{9d^2}*d$

$p = \frac{c^2}{9d}$

Cross Multiply

$9dp = c^2$

$c^2 = 9dp$

Hence, the relationship between d, c and p is: $c^2 = 9dp$

8 0

3 years ago

Miles is playing catch with his friend. He throws the baseball from point A to point B

MAXImum [283]

Answer:

1234567890

Step-by-step explanation:

1234567890

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3 years ago

If (x/y)^a-1=(y/x)^a-3.then find the value of a

Y_Kistochka [10]

Step-by-step explanation:

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2 years ago

Find the least common multiple of 10 and 14.

aksik [14]

We can do this by just adding 14 to 14 until we get a number that is divisible by 10. We can do it this way because it will be a small number. Let's list them out. 14, 28, 42, 56, 70. 70 is divisible by 10, so 70 is the answer.

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3 years ago

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