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3 years ago

Which equation represents the sum of eight times a number and seven is twice the number

Mathematics

1 answer:

miss Akunina [59]3 years ago

4 0

Answer:

8n + 7 = 2n

Step-by-step explanation:

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A racecar can travel 800 miles in 4 hours.Using(d) for distance in miles and (t) for numbers of hours,an equation that represent

Nataly [62]

800=200×4

the distance is 800 miles and the time is 4 hours

and the situation that are given is d=200t

Distance =800 miles

Time=4 hours

Given Situation=200

800=200•4

8 0

3 years ago

Which function in vertex form is equivalent to f(x) = 4 + x2 – 2x? f(x) = (x – 1)2 + 3 f(x) = (x – 1)2 + 5 f(x) = (x + 1)2 + 3 f

melamori03 [73]

Answer: First Option

$f (x) = (x-1) ^ 2 + 3$

Step-by-step explanation:

Quadratic quadratic functions have the following form:

$f (x) = (x-h) ^ 2 + k$

Where the point (h, k) is the vertex of the function.

For a quadratic function of the form $f (x) = ax ^ 2 + bx + c$ the vertex of the function is at the point $(-\frac{b}{2a}, f(\frac{-b}{2a}))$

In this case the function is: $f(x) = 4 + x^2 - 2x\\\\f(x)=x^2 -2x +4$

Then:

$a=1\\b=-2\\c=4$

The vertex is:

$(-\frac{(-2)}{2(1)}, f(\frac{2}{2(1)}))$

$(1, f(1))$

Note that

$f(1) = (1)^2 -2(1) +4\\\\f(1)=1-2+4=3$

Therefore the vertex is the point $(1, 3)$

Finally we have that $h=1,\ k=3$

The function in vertex form is :

$f (x) = (x-1) ^ 2 + 3$

7 0

4 years ago

A furniture store is having a weekend sale and is offering a 20% discount on patio chairs and tables. The sales tax on furniture

BARSIC [14]

The price will be reduced by 20%, so will become 0.8x
The tax will increase the amount by 0.0625 times
Thus:
A = 0.8x + 0.0625x
A = 0.8625x

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4 years ago

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Would you measure the length of a jump rope in inches or in feet? explain your choice

yan [13]

Depending on the length of the jump rope but usually you may need both feet and inches. By checking the average lengths of a jump rope you have: 7ft, 8ft,9ft,10ft for different heights so from this information the correct answer is feet

5 0

3 years ago

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Amir stands on a balcony and throws a ball to his dog, who is at ground level. The ball's height (in meters above the ground), x

Marrrta [24]

When we graph the function, it has a vertex of (3, 16).

The maximum of the graph is the highest "x" value on the graph which is 3.

Since the maximum is 3, it will take 3 seconds for the ball to reach its maximum height.

A graph will be shown below showing the function and vertex.

Best of Luck!

5 0

3 years ago

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