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Black_prince [1.1K]

4 years ago

12

Choose the correct graph for the equation y=2x+3

2 answers:

jasenka [17]4 years ago

6 0

Answer:

Step-by-step explanation:

disa [49]4 years ago

5 0

Answer:

Step-by-step explanation:

You might be interested in

On the set of axes below. solve the following

Delvig [45]

Answer:

i think x=1 y=3 (1,3)

Step-by-step explanation:

2x+4x-1 = 5

x = 1

y = 4x-1

y = 4(1)-1

y = 4-1

y = 3

5 0

3 years ago

Intersection point of Y=logx and y=1/2log(x+1)

GalinKa [24]

Answer:

The intersection is $(\frac{1+\sqrt{5}}{2},\log(\frac{1+\sqrt{5}}{2})$ .

The Problem:

What is the intersection point of $y=\log(x)$ and $y=\frac{1}{2}\log(x+1)$ ?

Step-by-step explanation:

To find the intersection of $y=\log(x)$ and $y=\frac{1}{2}\log(x+1)$ , we will need to find when they have a common point; when their $x$ and $y$ are the same.

Let's start with setting the $y$ 's equal to find those $x$ 's for which the $y$ 's are the same.

$\log(x)=\frac{1}{2}\log(x+1)$

By power rule:

$\log(x)=\log((x+1)^\frac{1}{2})$

Since $\log(u)=\log(v)$ implies $u=v$ :

$x=(x+1)^\frac{1}{2}$

Squaring both sides to get rid of the fraction exponent:

$x^2=x+1$

This is a quadratic equation.

Subtract $(x+1)$ on both sides:

$x^2-(x+1)=0$

$x^2-x-1=0$

Comparing this to $ax^2+bx+c=0$ we see the following:

$a=1$

$b=-1$

$c=-1$

Let's plug them into the quadratic formula:

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\frac{1 \pm \sqrt{(-1)^2-4(1)(-1)}}{2(1)}$

$x=\frac{1 \pm \sqrt{1+4}}{2}$

$x=\frac{1 \pm \sqrt{5}}{2}$

So we have the solutions to the quadratic equation are:

$x=\frac{1+\sqrt{5}}{2}$ or $x=\frac{1-\sqrt{5}}{2}$ .

The second solution definitely gives at least one of the logarithm equation problems.

Example: $\log(x)$ has problems when $x \le 0$ and so the second solution is a problem.

So the $x$ where the equations intersect is at $x=\frac{1+\sqrt{5}}{2}$ .

Let's find the $y$ -coordinate.

You may use either equation.

I choose $y=\log(x)$ .

$y=\log(\frac{1+\sqrt{5}}{2})$

The intersection is $(\frac{1+\sqrt{5}}{2},\log(\frac{1+\sqrt{5}}{2})$ .

6 0

3 years ago

Solve by using substitution.<br><br> =3−8<br><br> =−4

garik1379 [7]

Answer:

I'm going to assume that you meant y=3x-8 and y=-4

This means that you would substitute -4 into the spot of y which gives you -4=3x-8. Once solved you would receive x=4/3.

Hope I helped have a nice day :)

3 0

3 years ago

S is the midpoint of TV. TS = 4x - 7, and SV = 5x - 15. Find TS, SV, and TV.

jasenka [17]

Step-by-step explanation:

TS = 4x - 7

x = -7/4

SV = 5x -15

x = -15/5

= -3

TV = -7/4 + -3

= -3 3/4

= -4.75

8 0

2 years ago

It is Converse, contrapositive and Inverse

Klio2033 [76]

Answer:

if you eat broccoli then you eat vegetable

converse: if you eat vegetables then you eat broccoli

inverse: if you don't eat broccoli then you don't eat vegetables

contrapositive: if you don't eat vegetables then you don't eat broccoli

Step-by-step explanation:

converse: q to p

inverse: not p not q

contrapositive: not q not p

7 0

3 years ago