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3 years ago

Simplify the expression

Mathematics

2 answers:

zheka24 [161]3 years ago

8 0

Answer: 2x+10

Step-by-step explanation: My head

Levart [38]3 years ago

4 0

Answer:

2x+10

Step-by-step explanation:

(9x^2+27x-3x^2+3x)/3x

(3x^2+9x-1x^2+1x)/x

3x^2 - 1x^2= 2x^2

9x+1x=10x

2x^2+10x/x

when you divide you subtract exponents

x^2-x^1 = x x^1- x^1= x^0=1

2x+10

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Please help for brainlist :)

Oliga [24]

Answer:

Shifts 2 units up

Step-by-step explanation:

Whenever you add onto a function it will move up

Here is the graph for f(x) = 3^x + 2

And the second graph is for f(x) = 3^x

5 0

2 years ago

1. Find the product. Simplify. 13/14 of 10/9. A. 15/42 B. 5/21 C. 2/7 D. 5/6 2. Andy has 5 pots, and each pot can hold 3/8 pound

Rufina [12.5K]

1) Resultant fraction: $\frac{65}{63}$

2) Total soil: $1\frac{7}{8}$ pounds

3) Result of the product: $\frac{35}{2}$

Step-by-step explanation:

In this problem, we want to find the product between the two fractions

$\frac{13}{14}$

and

$\frac{10}{9}$

In order to find this product, we have to multiply the numerators of each fraction and the denominators of each fraction. We get:

$\frac{13}{14}\cdot \frac{10}{9}=\frac{13\cdot 10}{14\cdot 9}=\frac{130}{126}$

Now we simplify, dividing both numerator and denominator by 2:

$\frac{130/2}{126/2}=\frac{65}{63}$

And the fraction cannot be further simplified.

Here we have:

n = 5 (number of pots that Andy has)

$s=\frac{3}{8}$ (amount of soil (in pounds) that each pot can contain)

In order to find the amount of soil that Andy needs to fill all the pots, we have to multiply the number of pots (n) by the amount of soil that each pot can contain (s).

If we do so, we find:

$t=n \cdot s = 5 \cdot \frac{3}{8}=\frac{5\cdot 3}{8}=\frac{15}{8}$

Which can be rewritten as a mixed fraction as:

$\frac{15}{8}=\frac{8+7}{8}=\frac{8}{8}+\frac{7}{8}=1\frac{7}{8}$

Here we want to find the result of the following product:

$4\frac{2}{3}\cdot 3\frac{3}{4}$

In order to do so, we first have to rewrite each fraction as an improper fraction.

For the 1st fraction:

$4\frac{2}{3}=\frac{4\cdot 3+2}{3}=\frac{12+2}{3}=\frac{14}{3}$

For the 2nd fraction:

$3\frac{3}{4}=\frac{3\cdot 4+3}{4}=\frac{12+3}{4}=\frac{15}{4}$

Now we can finally find the product of the two fractions:

$\frac{14}{3}\cdot \frac{15}{4}=\frac{14\cdot 15}{3\cdot 4}=\frac{210}{12}=\frac{35}{2}$

Where in the last step, we divide both the numerator and the denominator by 6.

Learn more about fractions:

brainly.com/question/605571

brainly.com/question/1312102

#LearnwithBrainly

6 0

4 years ago

Simplify 3x + 5x + 14x

navik [9.2K]

Simply collect all the like terms together
So..3+5+14 is 22x

3 0

3 years ago

Read 2 more answers

A rectangle has a length that is 7 inches less that twice it's width. The area of the rectangle is 72 square inches. Write an eq

Nitella [24]

Answer: $2x^2-7x=72$ , where x= width of the rectangle ( in inches).

Step-by-step explanation:

Let x= width of the rectangle ( in inches).

Then its length = 2x-7 ( in inches).

Area of rectangle = Length × width

= (2x-7) × (x)

= 2x × x -7 ×x

= 2x²-7x

The area of the rectangle is 72 square inches.

$\Rightarrow\ 2x^2-7x=72$

Hence, the equation that represents the given situation :

$2x^2-7x=72$

7 0

3 years ago

A train leaves the station at time t=0. Traveling at a constant speed, the train travels 480 kilometers in 4 hours. The function

Neporo4naja [7]

Answer:

<u>The function that relates the distance traveled d to the time t is:</u>

<u>f(t) = 120t, where d = f(t)</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

At a constant speed, the train travels 480 kilometers in 4 hours

2. The function that relates the distance traveled d to the time t is?

Let's write the relation as a linear equation and then we'll write it using function notation, as follows:

If the train travels 480 kilometers in 4 hours, then it will travel 120 kilometers in one hour, therefore:

d = 120t

if t = 0 ⇒ d = 0, because the train is still at the station and if t = 1 ⇒ d = 120.

Now we replace d by f (t), because d = f t):

f(t) = 120t

for any given value of t, d will be equal to t multiplied 120 times

8 0

3 years ago