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eduard
3 years ago
10

If the ratio of b to a is equal to 6 and the difference of b and a is 12, what is the value of a?

Mathematics
1 answer:
Reil [10]3 years ago
3 0

Answer:

  a = 2.4

Step-by-step explanation:

The problem statement tells you ...

  b/a = 6

  b - a = 12

Using the first equation, we can write an expression for b:

  b = 6a . . . . . . . multiply both sides by "a"

This can be substituted into the second equation to find a value for "a":

  6a -a = 12

  5a = 12

  a = 12/5 = 2.4

The value of a is 2.4.

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Predict what the graph of the following quadratic function will look like. (If you have a graphing calculator, you can use it to
Alex17521 [72]

Answer:

u-shaped; y-intercept (0,6); symmetrical with respect to the y-axis

Step-by-step explanation:

Given that y = 2x² + 6

The graph would be the shape of that of a parabola. It can be u shaped or n shaped depending on the value of the coefficient of a comparing with the standard equation y = ax² + bx + c. If a > 0, it is u shape and if a < 0, it is n shape.

For this question, since a > 0 it would be u shaped and the intercept can be gotten by putting x = 0.

Therefore y = 0² + 6 = 0

The intercept is at (0,6) and is symmetrical with respect to the y-axis

3 0
3 years ago
A bird sees a worm on the ground 50 m. below. The bird dives for the worm at a speed of 6 m/sec. The function h\left( t \right)
iragen [17]

<u>Given</u>:

The height of the bird at time t is given by the function h(t)=-4.9t^2+6t+50

We need to determine the time it takes the worm to be eaten by the bird.

<u>Time taken:</u>

The time can be determined by substituting h(t) = 0 in the function.

Thus, we have;

0=-4.9t^2+6t+50

Switch sides, we get;

-4.9t^2+6t+50=0

Let us solve the equation using the quadratic formula.

Thus, we get;

t=\frac{-6 \pm \sqrt{6^{2}-4(-4.9) 50}}{2(-4.9)}

Simplifying, we get;

t=\frac{-6 \pm \sqrt{36+980}}{-9.8}

t=\frac{-6 \pm \sqrt{1016}}{-9.8}

t=\frac{-6 \pm 31.87}{-9.8}

The values of t are given by

t=\frac{-6 + 31.87}{-9.8}   and   t=\frac{-6 - 31.87}{-9.8}

t=\frac{25.87}{-9.8}    and   t=\frac{-37.87}{-9.8}

t=-2.4    and   t=3.9

Since, the value of t cannot be negative, then t=3.9

Thus, the time taken by the bird to eat the worm is t=3.9 seconds.

Hence, Option B is the correct answer.

5 0
3 years ago
Kerrie uses the work shown below to determine 35% of 280.
lys-0071 [83]

For this case we must find 35% of 280.

Kerrie gets 10% and then 25%. So:

10% of 280:

280 ------------> 100%

x -----------------> 10%

Where "x" represents the amount given by 10% of 280.

x = \frac {10 * 280} {100}\\x = 28

Thus, 10% of 280 is 28.

Now, we find 25% of 280:

280 ------------> 100%

x -----------------> 25%

Where "x" represents the amount given by 25% of 280.

x = \frac {25 * 280} {100}\\x = 70

Thus, 25% of 280 is 70.

So we have that 35% of 280 is given by:

28 + 70 = 98

So, Kerrie's solution is correct.

Answer:

Option A

6 0
3 years ago
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34kurt
16 is the answer to this question.
7 0
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Setler [38]

Answer:

m<r =75

PS=2.1 cm

Step-by-step explanation:

they are equal so you should be able to figure it out eventually

7 0
2 years ago
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