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3 years ago

Question b and c thank you.

Mathematics

1 answer:

Alenkasestr [34]3 years ago

7 0

Answer:

1/(h+1) +2 = k

(k-2) = 1/ (h +1)

(k-2) x (h+1) = 1

h+1 = 1/(k-2)

h= 1/(k-2) -1

$\frac{px}{q}=p+q\\ px = pq + q^{2} \\px - pq= q^{2} \\p(x-q) = q^{2} \\p=\frac{q^{2}}{x-q} \\$

Step-by-step explanation:

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Write a quadratic equation given the roots -1/3 and 5, show your work

Travka [436]

$\boxed{(x - a)(x - b) = 0}$

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

$x = - \frac{1}{3} \\ x = 5$

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

$(x + \frac{1}{3} )(x - 5) = 0$

Here we can convert the expression x+1/3 to this.

$x + \frac{1}{3} = 0 \\ 3x + 1 = 0$

Rewrite the equation.

$(3x + 1)(x - 5) = 0$

Simplify by multiplying both expressions.

$3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0$

Answer Check

Substitute the given roots in the equation.

$3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0$

$3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0$

The equation is true for both roots.

Answer

$\large \boxed {3 {x}^{2} - 14x - 5 = 0}$

8 0

2 years ago

Javier bought a 20 ounce smoothie that contains 450 total calories how many calories does this smoothie contain per ounce

Olenka [21]

Answer:

22.5

Step-by-step explanation:

You can just take 450 calories divided by 20 ounces. 450 divided by 20 is 22.5, so that is the answer.

3 0

3 years ago

Read 2 more answers

Mel Needs to park his car for eight hours. Spikes parking place charges five dollars per hour for the first three hours and thre

Dima020 [189]

Answer:

Spike's Parking
$5 less

Step-by-step explanation:

After 3 hours, Spike charges 6 dollars per hour. For 3 hours, the charge is only $5×3 = $15 (which is $3 less than $6×3). So the rate after 3 hours can be modeled by ...

s(h) = 6h -3

For 8 hours, s(8) = 6·8 -3 = 45 . . . . dollars

After 4 hours, Main Deck charges 8 dollars per hour. For 4 hours, the charge is only $18 (which is $14 less than $8×4). So the rate after 4 hours can be modeled by ...

m(h) = 8h -14

For 8 hours, m(8) = 8·8 -14 = 50 . . . . dollars

For 8 hours, the $45 charge at Spike's is $5 less than the $50 charge at Main Deck.

6 0

3 years ago

The demand for video recorders has been estimated to be Qv = 134 − 1.07Pf + 46Pm − 2.1Pv − 5I, where Qv is the quantity of video

stepladder [879]

Answer:

The Video recorders are inferior goods.

Step-by-step explanation:

As $Q_{v} =134-1.07Pf+46Pm-2.1Pv-5I$

where;

The price of the recorders films are increasing by a term 1.07 which gives that the Price is increasing by a little. Also adding the Price of video recorder is increasing by a factor 2.1 and the Revenue or income is increasing by a term 5 (Which is high) so, revenue and price are increasing leaving the quality of the voice recorder decreasing by a large margin for maintaining the balance.

$Revenue =price*Quality$

So, in conclusion the quality decreases and thus the video recorders are inferior goods.

5 0

3 years ago

What is 1/10 of 12.5 miles?

vazorg [7]

Answer:

1.25

Step-by-step explanation:

(1/10) x 12.5

4 0

3 years ago

Question b and c thank you.​

Question b and c thank you.