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Gennadij [26K]
3 years ago
6

Please explain . solve the system by elimi ation -x-18y=-3 7x-9y=21

Mathematics
1 answer:
Triss [41]3 years ago
5 0
This is the answer to the question

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  • no le entiendo por qué estás en inglés

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When Miguel babysits, he charges $7 per hour in addition to a fee of $9.
artcher [175]
Y=7x+9 here’s your answer
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g Use this to find the equation of the tangent line to the parabola y = 2 x 2 − 7 x + 6 at the point ( 4 , 10 ) . The equation o
natali 33 [55]

Answer:

The tangent line to the given curve at the given point is y=9x-26.

Step-by-step explanation:

To find the slope of the tangent line we to compute the derivative of y=2x^2-7x+6 and then evaluate it for x=4.

(y=2x^2-7x+6)'          Differentiate the equation.

(y)'=(2x^2-7x+6)'       Differentiate both sides.

y'=(2x^2)'-(7x)'+(6)'    Sum/Difference rule applied: (f(x)\pmg(x))'=f'(x)\pm g'(x)

y'=2(x^2)'-7(x)'+(6)'  Constant multiple rule applied: (cf)'=c(f)'

y'2(2x)-7(1)+(6)'        Applied power rule: (x^n)'=nx^{n-1}

y'=4x-7+0               Simplifying and apply constant rule: (c)'=0

y'=4x-7                    Simplify.

Evaluate y' for x=4:

y'=4(4)-7

y'=16-7

y'=9 is the slope of the tangent line.

Point slope form of a line is:

y-y_1=m(x-x_1)

where m is the slope and (x_1,y_1) is a point on the line.

Insert 9 for m and (4,10) for (x_1,y_1):

y-10=9(x-4)

The intended form is y=mx+b which means we are going need to distribute and solve for y.

Distribute:

y-10=9x-36

Add 10 on both sides:

y=9x-26

The tangent line to the given curve at the given point is y=9x-26.

------------Formal Definition of Derivative----------------

The following limit will give us the derivative of the function f(x)=2x^2-7x+6 at x=4 (the slope of the tangent line at x=4):

\lim_{x \rightarrow 4}\frac{f(x)-f(4)}{x-4}

\lim_{x \rightarrow 4}\frac{2x^2-7x+6-10}{x-4}  We are given f(4)=10.

\lim_{x \rightarrow 4}\frac{2x^2-7x-4}{x-4}

Let's see if we can factor the top so we can cancel a pair of common factors from top and bottom to get rid of the x-4 on bottom:

2x^2-7x-4=(x-4)(2x+1)

Let's check this with FOIL:

First: x(2x)=2x^2

Outer: x(1)=x

Inner: (-4)(2x)=-8x

Last: -4(1)=-4

---------------------------------Add!

2x^2-7x-4

So the numerator and the denominator do contain a common factor.

This means we have this so far in the simplifying of the above limit:

\lim_{x \rightarrow 4}\frac{2x^2-7x-4}{x-4}

\lim_{x \rightarrow 4}\frac{(x-4)(2x+1)}{x-4}

\lim_{x \rightarrow 4}(2x+1)

Now we get to replace x with 4 since we have no division by 0 to worry about:

2(4)+1=8+1=9.

6 0
3 years ago
Round 65754.59 to the nearest tenth
V125BC [204]
65754.6 because the 9 in the hundreds place bumps up the five in the tenths
8 0
3 years ago
Read 2 more answers
Please help with step one and two.​
Nikitich [7]

Please keep in mind that the answers may not be correct. I have tried my best to answer.

1. 83.333...% would fit. We must first solve for x. As you can see, we have a similarity in the picture. 16 and 4. It's 4. So, we multiply that by 6 which equal 24=x. Now, we know that space (Not provided) is 4. So, we just divide 20 by 4. It will equal 5, add the space not provided and becomes 6. All you gotta do is now divide 100/6. 16.666... Multiply by 5 since that is how much it is providing. Then, your answer will be 83.333...%

2. 88.888...% would fit. Like the above, we must solve for x. As you can tell, the situation is similar to the original. Divide 18 by 4, 4.5. Multiply 6 by 4.5, 27. Subtract 27 by 24, 3. Now we know that the space (not provided) is 3. Divide 24" by 3, 8. Add 1 due to the non provided space. 9. Divide 9 by 100, 11.111... Multiply by 8 and get the answer. 88.888...%

5 0
3 years ago
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