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2 years ago

Simplify each expression by combining like terms. 3n - 1 + 8n +5

Mathematics

1 answer:

Kay [80]2 years ago

3 0

Answer:

3n-1+8n+5

3n+8n-1+5

11n+4

Let me know if this helps!

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Solve the following:<br> a. 4x^2 + 5x + 3 = 2x^2 − 3x<br> b. c^2 − 14 = 5c

Jet001 [13]

Answer:

(a) x = -0.418 , -3.581

(B) c = 6.855, -1.855

Step-by-step explanation:

(A) We have given equation $4x^2+5x+3=2x^2-3x$

$2x^2+8x+3=0$

On comparing with standard quadratic equation $ax^2+bx+c$

a = 2, b = 8 and c = 3

So roots of the equation will be $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-8\pm \sqrt{8^2-4\times 2\times 3}}{2\times 2}=\frac{-8\pm 6.324}{4}=-0.418,-3.581$

(b) $c^2-14=5c$

$c^2-5c-14=0$

a = 1, b = -5 and c= -14

So $c=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-(-5)\pm \sqrt{(-5)^2-4\times 1\times (-14)}}{2\times 1}=\frac{5\pm 8.71}{2}=6.855,-1.855$

7 0

3 years ago

Tickets for the basketball game were sold at $4.00 for adults and $2.50 for students. If 320 tickets were sold for a total of $1

makkiz [27]

The problem based on condition are solved using the unknown variables. The number of tickets sold to the student are 120 and the number of tickets sold to the adults are 200.

Given information-

The price of the tickets for the basketball game for adults is $4.00.

The price of the tickets for the basketball game for students is $2.50.

<h3>Variables</h3>

Variables are the unknown and the value of the variables depend on the other variables in the equation. The above problem can be solved defining the variables from the given condition.

Let the total tickets purchased by the students is<em> x</em> and the total tickets porches by the adults is <em>y.</em>

As the total tickets sold for the game is $320. Thus,

$\begin{aligned}\\
x+y&=320\\
y&=320-x\\
\end$ .......1

Now as the total money with ticket selling is $1100. Thus,

$2.5x+4y=110$

Keep the value of u from the equation 1 in the above equation. We get,

$\begin{aligned}
2.5x+4(320-x)&=1100\\
2.5x+1280-4x&=1100\\
-1.5x&=1100-1280\\
-1.5x&=-180\\
x&=\dfrac{180}{1.5} \\
x&=120\\
\end$

Thus the number of tickets sold to the student are 120.

Keep this value in equation 1,

$y=320-x\\
y=320-120\\
y=200$

Thus the number of tickets sold to the adults are 200.

Hence the number of tickets sold to the student are 120 and the number of tickets sold to the adults are 200.

brainly.com/question/787279

8 0

2 years ago

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If you were solving a system of equations and you came to a statement like 4 = 4, what do you know about the solution to the sys

GuDViN [60]

It is infinite solutions.

6 0

2 years ago

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What is the measure of the unknown angle?

bulgar [2K]

A. 145
EXPLANATION:
There are 2 angles in the picture.
Both angles mist add up to 180
Simply do 180 - 35 = 145.
Have a good day

8 0

2 years ago

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The graph shows the number of books Rahul read, y, compared with the number of books Maggie read, x, over the summer.

DiKsa [7]

Answer:

D. y=2x(4×2)

Step-by-step explanation:

y=8 and x=4 and they are asking about the books that Maggie read how they the books re equal to the ones Rahul read. so y will be equal to x times 2 which is also x+x.

Hope I helped!

7 0

2 years ago