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ki77a [65]
2 years ago
14

atex-formula">
Mathematics
2 answers:
seraphim [82]2 years ago
6 0

\huge\text{$x=\boxed{6}$}

We can solve for the variable x by isolating it on one side of the equals sign.

Start by adding 4 to both sides to cancel out the -4 on the left side of the equation.

\begin{aligned}3x-4+4&=14+4\\3x&=18\end{aligned}

Now divide both sides of the equation by 3 since 3x is the same as 3*x and we want to isolate x, keeping in mind that anything multiplied by 1 is itself.

\begin{aligned}3x&=18\\3*x&=18\\3*x\div3&=18\div3\\x*3\div3&=18\div3\\x*1&=6\\x&=\boxed{6}\end{aligned}

Digiron [165]2 years ago
3 0

\text {Hello! Let's Solve this Problem!}

\text {\underline {The First Step is to Add 4}}

\text {3x-4+4=14+4}

\text {3x=18}

\text {\underline {The Final Step is to Divide 3}}

\text {3x/3=18/3}

\text {Your Answer Would Be:}

\Huge\boxed {x=6}

\text {Best of Luck!}

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trasher [3.6K]
The function is graphed as shown below

Part A:

We use the formula - \frac{b}{2a} to find the vertex of the function. A quadratic function of the form of a x^{2} +bx+c and equating this form to the given function - x^{2} +20x-75, we have
b=20 and a=-1.

Substituting a and b into the vertex formula, we have
x=- \frac{20}{2(-1)}=10, as shown in the graph

This calculation means that the highest profit is achieved when the number of photo printed equals to ten photos

Part B:

We can find solution to this equation by factorising

- x^{2} +20x-75=0
-( x^{2} -20x+75)=0
x^{2} -20x+75=0
(x-5)(x-15)=0
x=5 and x=15, as shown in the graph

The two values means that the company makes no profit when they either produce 5 or 15 photos

8 0
3 years ago
Point A is at (3, -8) and point B is at (7, 3). What is the midpoint of line segment AB?​
allochka39001 [22]

Answer:

(5, -5/2)

Step-by-step explanation:

The midpoint of any line segment is the average of the x- and y-values of the two endpoints.

Therefore, the midpoint of AB is ((3+7)/2, (-8+3)/2)=(10/2, -5/2)=(5, -5/2).

So, the answer is \boxed{(5, -5/2)} and we're done!

5 0
2 years ago
A survey of students' favorite sports was taken from a random sample of
White raven [17]

Answer:

129

Step-by-step explanation:

Considering the survey to be representative, you can simply multiply the share of students <em>p</em> preferring “Track & Field” with the whole school population at the same time to estimate the number of such students in the whole school.

First we need to find the relative share <em>p</em> of such answers in the study by dividing it by the sum of answers, assuming that the table is complete for that random sample:

<em>p</em> = 4/(8 + 5 + 4) = 4/17

Then for the whole school we get 550 <em>p</em> ≈ 129.4

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2 years ago
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Answer:

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b) 40

c) 630

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5 0
2 years ago
Is 2/5 - (-5/6) positive,negative, or zero
malfutka [58]
It is positive.

Hope this helped.
6 0
3 years ago
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