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creativ13 [48]
3 years ago
5

Heather wants to increase the time she jogs each week by 6 minutes. she is already able to jog for 10 minutes. the time heather

jogs each week is given by the linear function f(x) = 6x + 4. which explicit rule is equivalent to this linear function?
Mathematics
1 answer:
Kitty [74]3 years ago
7 0
The explicit rule would be 

a_n=10+6(n-1).

This equation is in slope-intercept form, f(x)=mx+b.  This means the slope, m, is 6.  This tells us the rate of change of the line.  This corresponds to the common difference, d, of the sequence.

An explicit rule for this sequence is of the form

a_n=a_1+d(n-1),

where a₁ is the first term and d is the common difference.  We know that d = 6:
a_n=a_1+6(n-1)

From the problem, we are told that she is starting out running for 10 minutes.  This is a₁:

a_n=10+6(n-1)
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AysviL [449]

Answer:

5x + 4y - 4 = 0 is the given line equation.

Step-by-step explanation:

The slope m of the line is given as -\frac{5}{4}

The point  of the equation is (x0, y0) = (-4, 6)

Now, by POINT SLOPE formula of a  line:

Equation of  a line is :   ( y -y0) = m (x - x0)

Hence, the equation is (y - 6) = -\frac{5}{4} (x -(-4))

On further simplifying4(y - 6) = -5 (x + 4)\\or, 4y - 24 = -5x- 20 ,

⇒ 5x + 4y - 24 + 20 = 0

or, 5x + 4y - 4 = 0 is the given line equation.

4 0
3 years ago
Find the measure of angle J. Correct answer will get brainliest.
maksim [4K]
90 + (5x-2) + (2x+8) = 180
90 + 5x - 2 +2x + 8 = 180
7x + 96 = 180
7x = 180 - 96
7x = 84
x = 12

m<J = 5x - 2
m<J = 5(12) - 2
m<J =  60 - 2
m<J = 58

7 0
3 years ago
Two friends go out to eat and order the same meal. They pay a 6% sales tax and a 20% tip on their meals. The total bill, includi
vova2212 [387]

Sales tax and tip will increase the price of an item.

The cost of each meal is: $10.89

Let the cost of both meals be x.

A 20% tip means that, the current price is:

Price = x \times (1 + 20\%)

A 6% sales tax on the meal means that, the current price is:

Price = x \times (1 + 20\%) \times (1 + 6\%)

So, we have:

Price = x \times (1 + 0.20) \times (1 + 0.06)

Price = x \times (1.20) \times (1.06)

Price = x \times 1.272

The amount paid is $27.72

So, the equation becomes

27.72= x \times 1.272

Make x the subject

x = \frac{27.72}{1.272}

x = 21.78

So, the cost of each meal is:

Each= \frac{21.78}{2}

Each= 10.89

Hence, the cost of each meal is: $10.89

Read more about sales tax at:

brainly.com/question/19715580

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3 years ago
Suppose f(x) = x^3 + 1. Find the graph of<br> f(2x).
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Step-by-step explanation:

I am sorry. I just typed the equation into my calculator app. Refer to the attached image above to make a deduction.

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3 years ago
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QUICK, which graph is proportional ?
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A proportional graph includes a line that is A) straight and B) passes through the origin/(0,0).

graphs A and D would be incorrect since they do not include straight lines. graphs B and C would be incorrect since they do not include lines that intersect the origin.

the only correct answer here is graph E since it’s both straight and passes through (0,0). hope this helps!
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