<img src="https://tex.z-dn.net/?f=y%3Dx%7B2%7D%20%2B2x%2B1" id="TexFormula1" title="y=x{2} +2x+1" alt="y=x{2} +2x+1" align="absm

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tatyana61 [14]

3 years ago

iddle" class="latex-formula">

Mathematics

2 answers:

daser333 [38]3 years ago

6 0

I recommend using desmos when it comes to answering graphs and these type of questions. Got me through high school

allochka39001 [22]3 years ago

3 0

0=2x+2x+1
0=4x+1
-4x=1
so we get:
x=-1/4

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If 5 pizzas cost $60, how much will 9 pizzas cost?

kotykmax [81]

Answer:

$108

Step-by-step explanation:

Each pizza cost $12 because 60/5 = 12

The you multiply 12 by 9 and get 108

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3 years ago

Read 2 more answers

Find the equation of the line . Write in slope intercept form and in standard form. (SHOW YOUR SOLUTION)

AlladinOne [14]

Answer:

1) The slope-intercept and standard forms are $y = -5\cdot x + 1$ and $5\cdot x +y = 1$ , respectively.

2) The slope-intercept form of the line is $y = \frac{5}{2}\cdot x -\frac{9}{2}$ . The standard form of the line is $-5\cdot x +2\cdot y = -9$ .

3) The slope-intercept form of the line is $y = \frac{5}{2}\cdot x + 5$ . The standard form of the line is $-5\cdot x +2\cdot y = 10$ .

4) The slope-intercept and standard forms of the family of lines are $y = \frac{2}{7}\cdot x -\frac{c}{7}$ and $2\cdot x -7\cdot y = c$ , $\forall \,c \in \mathbb{R}$ , respectively.

5) The slope-intercept form of the line is $y = 2\cdot x-7$ . The standard form of the line is $-2\cdot x +y = -7$ .

Step-by-step explanation:

From Analytical Geometry we know that the slope-intercept form of the line is represented by:

$y = m\cdot x + b$ (1)

Where:

$x$ - Independent variable, dimensionless.

$m$ - Slope, dimensionless.

$b$ - y-Intercept, dimensionless.

$y$ - Dependent variable, dimensionless.

In addition, the standard form of the line is represented by the following model:

$a\cdot x + b \cdot y = c$ (2)

Where $a$ , $b$ are constant coefficients, dimensionless.

Now we process to resolve each problem:

1) If we know that $m = -5$ and $b = 1$ , then we know that the slope-intercept form of the line is:

$y = -5\cdot x + 1$ (3)

And the standard form is found after some algebraic handling:

$5\cdot x +y = 1$ (4)

The slope-intercept and standard forms are $y = -5\cdot x + 1$ and $5\cdot x +y = 1$ , respectively.

2) From Geometry we know that a line can be formed by two distinct points on a plane. If we know that $(x_{1},y_{1})=(1,-2)$ and $(x_{2},y_{2}) = (3,3)$ , then we construct the following system of linear equations:

$m+b= -2$ (5)

$3\cdot m +b = 3$ (6)

The solution of the system is:

$m = \frac{5}{2}$ , $b = -\frac{9}{2}$

The slope-intercept form of the line is $y = \frac{5}{2}\cdot x -\frac{9}{2}$ .

And the standard form is found after some algebraic handling:

$-\frac{5}{2}\cdot x +y = -\frac{9}{2}$

$-5\cdot x +2\cdot y = -9$ (7)

The standard form of the line is $-5\cdot x +2\cdot y = -9$ .

3) From Geometry we know that a line can be formed by two distinct points on a plane. If we know that $(x_{1},y_{1})=(-2,0)$ and $(x_{2},y_{2}) = (0,5)$ , then we construct the following system of linear equations:

$-2\cdot m +b = 0$ (8)

$b = 5$ (9)

The solution of the system is:

$m =\frac{5}{2}$ , $b = 5$

The slope-intercept form of the line is $y = \frac{5}{2}\cdot x + 5$ .

And the standard form is found after some algebraic handling:

$-\frac{5}{2}\cdot x+y =5$

$-5\cdot x +2\cdot y = 10$ (10)

The standard form of the line is $-5\cdot x +2\cdot y = 10$ .

4) If we know that $a = 2$ and $b = -7$ , then the standard form of the family of lines is:

$2\cdot x -7\cdot y = c$ , $\forall \,c \in \mathbb{R}$

And the standard form is found after some algebraic handling:

$-7\cdot y = -2\cdot x +c$

$y = \frac{2}{7}\cdot x -\frac{c}{7}$ , $\forall \,c\in\mathbb{R}$ (11)

The slope-intercept and standard forms of the family of lines are $y = \frac{2}{7}\cdot x -\frac{c}{7}$ and $2\cdot x -7\cdot y = c$ , $\forall \,c \in \mathbb{R}$ , respectively.

5) If we know that $(x,y) = (3,-1)$ and $m = 2$ , then the y-intercept of the line is:

$3\cdot 2 + b = -1$

$b = -7$

Then, the slope-intercept form of the line is $y = 2\cdot x-7$ .

And the standard form is found after some algebraic handling:

$-2\cdot x +y = -7$ (12)

The standard form of the line is $-2\cdot x +y = -7$ .

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3 years ago

(a−2b)^3 when a=−4 and b=−12

erma4kov [3.2K]

Answer:

8,000

Step-by-step explanation:

You can simplify it to (-4+24)^3a

7 0

3 years ago

On Tuesday, Stacy rode her bicycle miles from her house to the supermarket. She walked of a mile while at the supermarket. She r

Helen [10]

Answer: 6 1/5 miles

Step-by-step explanation:

Here's the complete question:

On Tuesday, Stacy rode her bicycle 1 3/4 miles from her house to the supermarket. She walked 1/4 of a mile while at the supermarket. She rode her bicycle a different way home that was 2 1/5 miles long. How many miles did Stacy ride her bicycle on Tuesday.

The number of miles that Stacy ride her bicycle on Tuesday will be the addition of her distance from her house to the supermarket and back to her house from the supermarket. This will be:

= Distance to supermarket = 1¾ + ¼ = 2 miles

Distance from supermarket = 2 + 2 1/5 = 4 1/5 miles

Total distance = 2 + 4 1/5 = 6 1/5 miles

4 0

3 years ago

Can Someone answer this ASAP

Andrei [34K]

Answer:

exponential, base 3

Step-by-step explanation:

It is an exponential function, and the base is 3

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3 years ago