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3 years ago

Which of the following values for x and y satisfy the following system of the equations?

Mathematics

1 answer:

weqwewe [10]3 years ago

6 0

Answer:

The answer to your question is letter C

Step-by-step explanation:

Equations

x + 4y = 10

5x + 10y = 20

Process

1.- Substitute all the options in both equations and evaluate them

a) x = 3, y = 2 This option is incorrect

(3) + 4(2) = 10 3 + 8 = 10 11 ≠ 10

5(3) + 10(2) = 20 15 + 20 = 20 35 ≠ 20

b) x = 2, y = -3 This option is incorrect

(2) + 4(-3) = 10 2 -12 = 10 -10 ≠ 10

(2) + 10(-3) = 20 2 - 30 = 20 -28 ≠ 20

c) x = -2, y = 3 This is the right answer

(-2) + 4(3) = 10 -2 + 12 = 10 10 = 10

5(-2) + 10(3) = 20 -10 + 30 = 20 20 = 20

d) x = 3, y = -2 This option is incorrect

(3) + 4(-2) = 10 3 - 6 = 10 - 3 ≠ 10

5(3) + 10(-2) = 20 15 - 20 = 20 -10 ≠ 10

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3 years ago

Help with this exponential function!

butalik [34]

The population size after 6 years and after 8 years are 147 and 169 population respectively

<h3>Exponential functions</h3>

The standard exponential function is expressed as y = ab^x

where

a is the base

x is the exponent

Given the function that represents the population size P (t) of the species as shown;

$p(t)=\frac{550}{1+5e^{-0.1t}} \\$

For the population size after 6 years

$p(t)=\frac{550}{1+5e^{-0.1(6)}} \\P(6)=\frac{550}{3.744}\\ P(6)=147 population$

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2 years ago

How can I find the value of X?

BARSIC [14]

Answer:

Step-by-step explanation:

Remark

The first thing you must do is notice that <D = <BEA. Mark it that way on your diagram.

The Second thing you need to notice is that <BEA and <A are equal because <A and <D are marked as equal.

So both the large triangle and the small one are isosceles. because 2 of the 3 angles are equal.

Now are you ready for this? That means that BA = 10 because BA is opposite one of the 2 equal angles in the small triangle. So now you are ready to set up a proportion.

Proportion

AB / AC = AE/AD

Givens

AB = 10

AC = 18

AE = 8

AD = x + 8

Solution

Substitute the Givens into the Proportion.

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10x + 80 - 80 = 144 - 80

10x = 64 Divide by 10

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2 years ago

A line contains the point (4, 2) and has a slope of −3.

Naya [18.7K]

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Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

c represents the y intercept

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The slope of the given line is - 3 and it contains the point (4, 2)

To determine the y intercept, we would substitute m = - 3, x = 4 and

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3 years ago

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iogann1982 [59]

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3 years ago

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