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3 years ago

6(n-4)=3n I need help I’m not good with math

Mathematics

2 answers:

lina2011 [118]3 years ago

7 0

Answer:

n=8

Step-by-step explanation:

6(n-4)=3n

6n-24=3n

-24=-3n

n=8

BARSIC [14]3 years ago

5 0

N=8 hope it helps:))))))))))))))))

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Could someone help me rnnn?

GuDViN [60]

Answer:

vertex = (0, -4)

equation of the parabola: $y=3x^2-4$

Step-by-step explanation:

Given:

y-intercept of parabola: -4
parabola passes through points: (-2, 8) and (1, -1)

Vertex form of a parabola: $y=a(x-h)^2+k$

(where (h, k) is the vertex and $a$ is some constant)

Substitute point (0, -4) into the equation:

$\begin{aligned}\textsf{At}\:(0,-4) \implies a(0-h)^2+k &=-4\\ah^2+k &=-4\end{aligned}$

Substitute point (-2, 8) and $ah^2+k=-4$ into the equation:

$\begin{aligned}\textsf{At}\:(-2,8) \implies a(-2-h)^2+k &=8\\a(4+4h+h^2)+k &=8\\4a+4ah+ah^2+k &=8\\\implies 4a+4ah-4&=8\\4a(1+h)&=12\\a(1+h)&=3\end{aligned}$

Substitute point (1, -1) and $ah^2+k=-4$ into the equation:

$\begin{aligned}\textsf{At}\:(1.-1) \implies a(1-h)^2+k &=-1\\a(1-2h+h^2)+k &=-1\\a-2ah+ah^2+k &=-1\\\implies a-2ah-4&=-1\\a(1-2h)&=3\end{aligned}$

Equate to find h:

$\begin{aligned}\implies a(1+h) &=a(1-2h)\\1+h &=1-2h\\3h &=0\\h &=0\end{aligned}$

Substitute found value of h into one of the equations to find a:

$\begin{aligned}\implies a(1+0) &=3\\a &=3\end{aligned}$

Substitute found values of h and a to find k:

$\begin{aligned}\implies ah^2+k&=-4\\(3)(0)^2+k &=-4\\k &=-4\end{aligned}$

Therefore, the equation of the parabola in vertex form is:

$\implies y=3(x-0)^2-4=3x^2-4$

So the vertex of the parabola is (0, -4)

5 0

2 years ago

Read 2 more answers

Help me please answer this question

vichka [17]

Answer:

y = 7x + 12

Step-by-step explanation:

Slope (m) = 7

Line is passing through the point (0, 12)

y-intercept (b) = 12

Equation of line in slope-intercept form is given as:

$y = mx + b \\ \\ y = 7x + 12$

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3 years ago

What is the quotient of 35,423 ũ 15?

My name is Ann [436]

Divide 35423 by 15 and round the answer down to a whole number, then you get 2361. If you subtract 15*2361 from 35423 you get the remainder 8. So answer C is correct.

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3 years ago

Right triangle ABC has three sides with lengths AB= 119, BC = 169, CA= 120. Find the value of cos C. hint: draw and label the tr

GenaCL600 [577]

Answer:

$\cos(C)=\frac{120}{169}$

Step-by-step explanation:

The triangle is shown in the attachment.

Recall that;

$\cos(C)=\frac{Adjacent}{Hypotenuse}$

This implies that;

$\cos(C)=\frac{|AC|}{|BC|}$

We substitute the values into the ratio to obtain

$\cos(C)=\frac{120}{169}$

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3 years ago

Truck -Rite Rentals rents trucks at daily rate of $49.95 plus 39 cents per mile. concert Productions has budgeted $100 for renti

Sergio039 [100]

$100 - $49.95 = $50.05
You have $100, and just renting costs $49.95, leaving $50.05 left.
$50.05 / $0.39 = 128.3
Out of your money left ($50.05) you divide my how much it costs in a day, to get how many miles you can go.

The answer is 128.3, but if you were going a round trip (there and back) you would do 128.3 / 2 = 64.16, meaning you can go 64 miles and come back, all for a hundred dollars (still 128 miles in total though)

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3 years ago