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3 years ago

Solve: 3x+5=14 Find the value of x

Mathematics

2 answers:

Levart [38]3 years ago

7 0

$3x+5=14 \\ 3x=14-5 \\ 3x=9 / :3\\ \boxed{x=3} \\ \\\\\huge\text{The answer is x=3}$

-Dominant- [34]3 years ago

4 0

X=3

subtract 5 from both sides;
3x=9
divide both sides by 3;
x=9

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What is the math term for you taking parentheses away?

TEA [102]

You might be thinking of "distribution" or "distributive property"

Example:

2(3x+5) = 2*3x+2*5 = 6x+10

I multiplied the outer 2 by each term inside (3x and 5)

4 0

3 years ago

Read 2 more answers

The maximum value of the function: f(x)= -5 x ^2 +30x-200 is?

VARVARA [1.3K]

Answer:

$\displaystyle - 155$

Step-by-step explanation:

we are given a quadratic function

$\displaystyle f(x) = - 5 {x}^{2} + 30x - 200$

we want to figure out the minimum value of the function

to do so we need to figure out the minimum value of x in the case we can consider the following formula:

$\displaystyle x _{ \rm min} = \frac{ - b}{2a}$

the given function is in the standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

so we acquire:

b=30
a=-5

thus substitute:

$\displaystyle x _{ \rm min} = \frac{ - 30}{2. - 5}$

simplify multiplication:

$\displaystyle x _{ \rm min} = \frac{ - 30}{ - 10}$

simply division:

$\displaystyle x _{ \rm min} = 3$

plug in the value of minimum x to the given function:

$\displaystyle f (3)= - 5 {(3)}^{2} + 30.3 - 200$

simplify square:

$\displaystyle f (3)= - 5 {(9)}^{} + 30.3 - 200$

simplify multiplication:

$\displaystyle f (3)= - 45 + 90- 200$

simplify:

$\displaystyle f (3)= - 155$

hence,

the minimum value of the function is -155

5 0

3 years ago

Which of the graphs is not periodic

Arada [10]

We can’t see the graphs ;-;

3 0

1 year ago

13.

Alex787 [66]

Answer: A. c = 3d

I'm gonna go with c = 3d

Step-by-step explanation: c = 3d

After looking at the table I believe the equation would be c=3d. I came to this conclusion because (6)=3(2); (9)=3(3); (15)=3(5); 18=3(6). I really hope this helps!:)

...................................................................................................................................................

Answer:

Step-by-step explanation:

Days Cost

2 6

3 9

5 15

6 18

Now to find equation that models the given data we will use two point slope form.

Formula:

Substitute the values in the formula

where y denotes the number of days and x denotes the cost

Let us suppose d denotes the number of days and c denotes the cost

So, equation becomes:

Hence an equation models the data in the table is

So, option A is true.

4 0

3 years ago

In the diagram below, the circle has a radius of 25 inches. the area of the unshaded is 500pi in^2Determine and state the degree

Dmitriy789 [7]

$72^{\circ}$

1) In this question, we are going to make use of the formula for the area of that sector, to find the central angle.

2) So, let's write it out an expression involving the area of a circle, the unshaded area, and the shaded one and then plug into that the given data:

$\begin{gathered} A=\frac{\alpha}{360^{\circ}}\times\pi r^2 \\ A_{Unshaded}+A_{shaded}=A_{Circle} \\ 500\pi+\frac{\alpha}{360}\times\pi r^2=\pi r^2 \\ \\ 500\pi+\frac{α}{360}\pi25^2=25^2\pi \\ \\ 500\pi+\frac{125\piα}{72}=625\pi \\ \\ 500\pi +\frac{125\pi α}{72}-500\pi =625\pi -500\pi \\ \\ \frac{125\pi α}{72}=125\pi \\ \\ \frac{72\times \:125\pi α}{72}=72\times \:125\pi \\ \\ \frac{125\pi α}{125\pi }=\frac{9000\pi }{125\pi } \\ \\ α=72^{\circ} \\ \\ \end{gathered}$

Thus, the centra angle of that shaded area is 72º

6 0

1 year ago