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2 years ago

Find the points of intersection of the graphs involving the following pair of functions.

Mathematics

1 answer:

jeka57 [31]2 years ago

4 0

Answer:

The point of intersection is $( \frac{-1\pm\sqrt{5}}{2}, 0)$

Step-by-step explanation:

f(x) = 2x^2 + 3x - 3 and g(x) = - x^2

By equating them

2x^2 + 3x - 3 = -x^2

3x^2 + 3 x - 3 = 0

x^2 + x - 1 = 0

$x^2 +x - 1 = 0 \\\\x = \frac{-1\pm\sqrt{5}}{2}$

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(2x^3+4x^2-3)+(6x^3+4x-4)<br>

sukhopar [10]

Answer:

8x^3 + 4x^2 + 4x -7

Step-by-step explanation:

Add like terms.

8 0

3 years ago

Read 2 more answers

A granola bite contains 27 calories. Most of the calories come from c grams of carbohydrates. The rest come from other ingredien

joja [24]

Answer:

a. 5 represents the number of calories that come from other ingredients.

b. Neither 8 nor 3 satisfy the given equation, so neither 8 nor 3 can be the solution to the equation.

c. <em>c = 5.5</em>

Step-by-step explanation:

We are given the equation:

$4c + 5 = 27$

Where $c$ represents the grams of carbohydrates

27 is the total number of calories that are received by the granola bite.

4 is the number of calories from 1 gram of carbohydrates and

5 is the number of calories that are received from other ingredients.

Answer of Part a:

5 is the number of calories that are received from other ingredients.

Part b:

Let us take left hand side (LHS) and put values of c = 8 and 3 one by one.

So, LHS becomes:

4 \times 8 + 5 = 37 $\neq RHS\ i.e.\ 27$

4 \times 3 + 5 = 17 $\neq RHS\ i.e.\ 27$

So, Priya is correct that neither 8 or 3 could be solution.

Part c:

$4c + 5 = 27\\\Rightarrow 4c = 22\\\Rightarrow \bold{c = 5.5}$

So, solution to the equation is: <em>c = 5.5</em>

8 0

2 years ago

Select the values that correctly complete the problem. a = b = c = d = e =

antiseptic1488 [7]

Answer: 2/3 = b/ac = d/e

Step-by-step explanation:

This is all I got if I got it right. Is this one of your answers?

6 0

3 years ago

A spinner is divided into equal sections that are labeled with integer values.

Julli [10]

Answer:

1/2

Step-by-step explanation:

look at all the numbers then look at only the negatives which are 2 then count the positive ones which are 4 from those numbers you get 2/4 simplify it, and you get 1/2.

8 0

2 years ago

Natalie’s income statement for the month of October is shown. Natalie monthly income statement for October. Total wages are 3,00

rusak2 [61]

Natalie’s net income for the month of October is $1,930.

<h2>Net Income </h2>

The net income of a person is the income of the person that is left with him after deducting all of his\her expenses and deductions.

$\rm Net\ Income = Total\ salary - Total\ expenses - Deductions$

<h2 /><h2>Given to us</h2>

Natalie's monthly income statement for October. Total wages are 3,000 dollars.

Total expenses are 1,070 dollars.

<h3 /><h3>Natalie’s net income</h3>

the total wage Natalie is already given is $3,000, and her expenses as $1,070, while there are no deductions from his salary. therefore,

$\rm Natalie 's\ Net\ Income= Total\ salary - Total\ expenses - Deductions$

$=\$3,000 - \$1,070 -\$0\\= \$1930$

Hence, Natalie’s net income for the month of October is $1,930.

Learn more about Net Income:

brainly.com/question/25247632

7 0

2 years ago