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3 years ago

7

2x+3=9 what is the answer

1 answer:

xxMikexx [17]3 years ago

6 0

Answer : x=3

Step-by-step explanation:

Explanation:

2x+3=9

We want to find the variable x, so we have to make it alone. To do so, first subtract 3 from both sides of the equation:

2x+3 − 3=9 − 3

2x=6

Now divide both sides by 2:

2x2=62

So the final answer is:

x=3

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Consider the following sets. U = {all triangles} E = {x|x ∈ U and x is equilateral} I = {x|x ∈ U and x is isosceles} S = {x|x ∈

Semmy [17]

Answer: E

Step-by-step explanation:

took a test :)

8 0

3 years ago

Write a linear function from the given values: <br><br> f(2)=-2, f(1)=1<br><br><br> f(4)=1, f(8)=4

kap26 [50]

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have:

$f(2)=-2\to(2,\ -2)\\f(1)=1\to(1,\ 1)$ .

Substitute:

$m=\dfrac{1-(-2)}{1-2}=\dfrac{3}{-1}=-3$

Therefore we have $y=-3x+b$ .

Substitute the coordinates of the point (1, 1) to the equation:

$1=-3(1)+b$

$1=-3+b$ <em>add 3 to both sides</em>

$4=b\to b=4$

<h3>Answer: y = -3x + 4</h3>

We have:

$f(4)=1\to(4,\ 1)\\f(8)=4\to(8,\ 4)$

Substitute:

$m=\dfrac{4-1}{8-4}=\dfrac{3}{4}$

Therefore we have $y=\dfrac{3}{4}x+b$ .

Substitute the coordinates of the point (4, 1) to the equation:

$1=\dfrac{3}{4}(4)+b$

$1=3+b$ <em>subtract 3 from both sides</em>

$-2=b\to b=-2$

<h3>Answer: $y=\dfrac{3}{4}x-2$ </h3>

3 0

4 years ago

Can someone please help with this question of what the explicit rule is.

Lyrx [107]

Answer:

$f(n)=-6n+36$

Step-by-step explanation:

The sequence is arithmetic because it is going down/up by the same number each time.

It is going down by 6.

This tells us that the common difference is -6.

The first term is 30.

The following is the explicit form of an arithmetic sequence:

$f(n)=f(1)+d(n-1)$

where $f(1)$ is the first term and $d$ is the common difference.

So we have $f(1)=30$ and $d=-6$ .

Plugging this information into our explicit formula:

$f(n)=30+-6(n-1)$

$f(n)=30-6n+6$

$f(n)=30+6-6n$

$f(n)=36-6n$

$f(n)=-6n+36$

Let's check it.

The first term is $f(1)=30$ :

$f(1)=-6(1)+36=-6+36=30$ which is what the pattern reads for the first term.

The second term is $f(2)=24$ :

$f(1)=-6(2)+36=-12+36=24$ which is what the pattern reads for the second term.

The third term is $f(3)=18$ :

$f(3)=-6(3)+36=-18+36=18$ which is what the pattern reads for the third term.

The fourth term is $f(4)=12$ :

$f(4)=-6(4)+36=-24+36=12$ which is what the pattern reads for the fourth term.

This rule certainly does generate the terms of our sequence as we have shown above.

The explicit form with no doubt is $f(n)=-6n+36$ .

5 0

3 years ago

Carlos buys a vintage automobile for $7300. He estimates that the value will increase by 3% every year. Estimate the value of th

lakkis [162]

Answer:

$9810.59

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

<u>Algebra I</u>

Simple Interest Rate Formula: $\displaystyle A = P(1 + r)^t$

<em>P</em> is principle amount
<em>r</em> is rate
<em>t</em> is time (in years)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>P</em> = 7300

<em>r</em> = 3% = 0.03

<em>t</em> = 10

<u>Step 2: Solve for </u><em><u>A</u></em>

Substitute in variables [Simple Interest Rate Formula]: $\displaystyle A = 7300(1 + 0.03)^{10}$
(Parenthesis) Add: $\displaystyle A = 7300(1.03)^{10}$
Evaluate exponents: $\displaystyle A = 7300(1.34392)$
Multiply: $\displaystyle A = 9810.59$

7 0

3 years ago

PLEASE HELP ME WITH MY MATH HOMEWORK-

hichkok12 [17]

Answer:

1.) The maximum height the ball reach thrown by Vue

Step-by-step explanation:

2.) 6 - 3 = 3

4 0

3 years ago