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1 year ago

Write a system of equations to describe the situation below, solve using any method, and fill

Mathematics

1 answer:

AleksAgata [21]1 year ago

4 0

The solution to the equation 5x + 8x = 55 and 10x + 2y = 40 is x = 3, y = 5

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the first number and y represent the second number. Hence:

5x + 8x = 55 (1)

Also:

10x + 2y = 40 (2)

From the both equations:

x = 3, y = 5

The solution to the equation 5x + 8x = 55 and 10x + 2y = 40 is x = 3, y = 5

Find out more on equation at: brainly.com/question/2972832

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Write 0.634 in scientific notation

Elina [12.6K]

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2 years ago

What is the difference between a population distribution and a sampling distribution

Fittoniya [83]

The difference between a population distribution and sampling a distribution

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2 years ago

If f(x) =4x2 - 8x - 20 and g(x) = 2x + a, find the value of a so that the y-intercept of the graph of the composite function (fo

amm1812

Answer:

The possible values are a = -2.5 or a = 4.5.

Step-by-step explanation:

Composite function:

The composite function of f(x) and g(x) is given by:

$(f \circ g)(x) = f(g(x))$

In this case:

$f(x) = 4x^2 - 8x - 20$

$g(x) = 2x + a$

$(f \circ g)(x) = f(g(x)) = f(2x + a) = 4(2x + a)^2 - 8(2x + a) - 20 = 4(4x^2 + 4ax + a^2) - 16x - 8a - 20 = 16x^2 + 16ax + 4a^2 - 16x - 8a - 20 = 16x^2 +(16a-16)x + 4a^2 - 8a - 20$

Value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).

This means that when $x = 0, f(g(x)) = 25$ . So

$4a^2 - 8a - 20 = 25$

$4a^2 - 8a - 45 = 0$

Solving a quadratic equation, by Bhaskara:

$\Delta = (-8)^2 - 4(4)(-45) = 784$

$x_{1} = \frac{-(-8) + \sqrt{784}}{2*(4)} = \frac{36}{8} = 4.5$

$x_{2} = \frac{-(-8) - \sqrt{784}}{2*(4)} = -\frac{20}{8} = -2.5$

The possible values are a = -2.5 or a = 4.5.

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2 years ago

What are the points of intersection of -x^2+9x-3 and y=3x

ELEN [110]

Answer:

Easiest and fastest way is to graph both equations into a graphing calc and trace the graph to where they intersect.

Alternatively, you can use substitution to solve for your answer.

Step-by-step explanation:

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2 years ago

HELP!!! TIMED ASSIGNMENT!!!!! PLEASE HELP

eduard

Answer:

see below

Step-by-step explanation:

The first part of the function, f(x) = -2x (for x < -1), is only graphed correctly in the first and third graphs.

The second part of the function, f(x) = -1 (for -1 ≤ x < 2) is only graphed correctly in the first graph, which also correctly graphs the third part of the function,

The appropriate choice is the first graph.

5 0

2 years ago