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2 years ago

Find the value of x L 7x-7 M 4x+14

Mathematics

1 answer:

viktelen [127]2 years ago

8 0

Answer:

x= 7 sorry if I'm wrong:(

Step-by-step explanation:

7x - 7 = 4x + 14

7x - 7 - 4x = 4x + 14 - 4x

3x - 7 = 14

3x - 7 + 7 = 14 + 7

3x = 21

x = 21/3

x = 7

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How much lower was the 6am temperature in Juneau than in Los Angeles

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A lot like shoot i think 20 or more

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3 years ago

In ΔCDE, the measure of ∠E=90°, DC = 5, CE = 4, and ED = 3. What ratio represents the sine of ∠C?

lianna [129]

Answer:

As E is right angle , CD is hypotenuse , and ED is perpendicular and CE is the base .

Thus sinC = Perpendicular/ Hypotenuse

sinC = ED/CD

sinC = 3/5

3 1

3 years ago

Find a third point on the line that passes through (4, 1) and (0, 3)

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3 years ago

Pleasantburg has a population growth model of P(t)=at2+bt+P0 where P0 is the initial population. Suppose that the future populat

yulyashka [42]

Answer:

The population will reach 34,200 in February of 2146.

Step-by-step explanation:

Population in t years after 2012 is given by:

$P(t) = 0.8t^{2} + 6t + 19000$

In what month and year will the population reach 34,200?

We have to find t for which P(t) = 34200. So

$P(t) = 0.8t^{2} + 6t + 19000$

$0.8t^{2} + 6t + 19000 = 34200$

$0.8t^{2} + 6t - 15200 = 0$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$0.8t^{2} + 6t - 15200 = 0$

So $a = 0.8, b = 6, c = -15200$

Then

$\bigtriangleup = 6^{2} - 4*0.8*(-15100) = 48356$

$t_{1} = \frac{-6 + \sqrt{48356}}{2*0.8} = 134.14$

$t_{2} = \frac{-6 - \sqrt{48356}}{2*0.8} = -141.64$

We only take the positive value.

134 years after 2012.

.14 of an year is 0.14*365 = 51.1. The 51st day of a year happens in February.

So the population will reach 34,200 in February of 2146.

6 0

2 years ago

Jay ate 2/3 of a pizza. Dan ate 4 times the amount of jay ate . How much did dan eat

erica [24]

Answer:

Dan eat $2\frac{2}{3}$ pizzas

Step-by-step explanation:

Let

x-----> amount of pizza Jay ate

y-----> amount of pizza Dan ate

we know that

$x=\frac{2}{3}$ ----> equation A

$y=4x$ -----> equation B

substitute equation A in the equation B and solve for y

$y=4(\frac{2}{3})=\frac{8}{3}$

Convert to mixed number

$\frac{8}{3}=\frac{6}{3}+\frac{2}{3}=2\frac{2}{3}$

8 0

3 years ago