Use graphing to find the solutions to the system of equations.

Mathematics

1 answer:

Galina-37 [17]2 years ago

3 0

In order to utilize the graph, first you have to distinguish which graph accurately pertains to the two functions.

This can be done by rewriting the equations in the form y = mx + b which can be graphed with ease; where m is the slope and b is the y intercept.

-x^2 + y = 1
y = x^2 + 1

So this will be a basic y = x^2 parabola where the center intercepts on the y axis at (0, 1)

-x + y = 2
y = x +2

So this will be a basic y = x linear where the y intercept is on the y axis at (0, 2)

The choice which depicts these two graphs correctly is the first choice. The method to find the solutions to the system of equations by using the graph is by determining the x coordinate of the points where the two graphed equations intersect.

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Maria invests $6,154 in a savings account with a fixed annual interest rate of 8% compounded continuously. What will the account

VladimirAG [237]

Answer:

$13,695.98

Step-by-step explanation:

Continuously compounded interest formula:

$A = Pe^{rt}$

where

A = future value

P = principal (present value of amount invested)

e = mathematical constant, the base of natural logarithms

r = interest rate

t = time in years

We have: P = 6154; r = 8% = 0.08; t = 10

$A = 6154e^{0.08 \times 10}$

$A = 6154e^{0.8}$

$A = 6154 \times 2.2255$

$A = 13695.98$

Answer: $13,695.98

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3 years ago

Please answer asap will give the highest points possible

natali 33 [55]

Let cheese wafers = x
chocolate wafers = y

we know they bought 20 total packets so x+y = 20, this can be re-written as x = 20-y

cheese wafers cost 2, so we have 2x
chocolate wafers cost 1, so we have 1y, which is just the letter y

so we know 2x + y = $25

replace x with x=20-y to get:

2(20-y)+y = 25

distribute the parenthesis:

40-2y +y = 25

combine like to terms to get:
40-y = 25

subtract 40 from each side"
-y = -15

divide both sides by -1
y = 15

chocolate wafers was y so they bought 15 chocolate wafers
cheese wafers was x, so they bought 20-15 = 5 cheese wafers

using the substitution method was the easiest way to isolate one of the variables in order to find the solution.

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2 years ago

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Naddik [55]

Answer: the answer is yes

Step-by-step explanation:

the inequality is underlined so the circle is going to be opened and since x is greater than -1 the line is drawn towards the left.

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