What is the answer to a

Answers

Answer 1

Answer:

Answer: a = b*r/n

Step-by-step explanation: Hope this helps :^)

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What are the x-intercepts of the parabola represented by the equation y = 3x2 + 6x − 10

Answers

Answer:

x ≈ {-3.082, 1.082}

Step-by-step explanation:

I find the easiest way to answer such a question (with medium accuracy) is to use a graphing calculator. The graph shown in the attachment gives the answers listed above.

___

From vertex form

The graphing calculator also makes it easy to find the vertex of the parabola. If we divide by 3 so the scale factor is 1, then the y-value of the vertex is -13/3 and the vertex form of the equation can be written ...

... y = (x +1)² -13/3

This has x-intercepts easily found.

... 0 = (x +1)² -13/3 . . . . x-intercepts are where y=0

... (x +1)² = 13/3 . . . . . . . add 13/3

... x +1 = ±√(13/3) . . . . . take the square root

... x = -1 ±√(13/3) . . . . . subtract 1

... x ≈ {-3.0816660, 1.0816660}

_____

Using the quadratic formula

This equation has a=3, b=6, c=-10, so we can put these values into the quadratic formula to find the x-interecepts.

... x = (-b±√(b²-4ac))/(2a)

... x = (-6 ±√(6² -4(3)(-10)))/(2(3))

... x = (-6 ±√156)/6 = -1 ±√(13/3) . . . or . . . -1 ±(√39)/3

Is -51/5 rational or irational

Answers

Answer:

Rational

Step-by-step explanation:

Answer:

Step-by-step explanation:

its written as a ratio of two integers, so its a rational number.

. Chad's pay rate for babysitting is y = 9x, where x is the number of hours he babysits, and y is the number of dollars he earns. Horatio's pay rate is shown in the graph below. Horatio's Babysitting Pay Rate. Which of the following statements is true? * HORATIO'S BABYSITTING PAY RATE 100 90 80 70 60 Dollars Earned (8.60) 50 40 30 20 10 (4, 30) 0 1 2 3 4 5 6 7 8 9 10 Hours A. Chad makes $1.00 more per hour than Horatio. O B. Chad makes $1.50 more per hour than Horatio. C. Chad makes $1.00 less per hour than Horatio. D. Chad makes $1.50 less per hour than Horatio.

Answers

Answer: Chad Makes $1.50 more

Step-by-step explanation:

You have to divide 30 from 4 to see Horatio’s hourly rate which is 7.5 and then you will see that 9 - 7.5 is 1.5. I hope this helped

Which inequalities are equivalent to r + 45 < 16? Check all that apply.r + 45 < 16 - 45
r + 45 – 16 < 16 – 16
r + 45 + 3 < 16 + 3
r + 45 - 16 < 16
r + 45 - 45 < 16 - 45

Answers

Answer

Which inequalities are equivalent to r + 45 < 16? Check all that apply.

✅r + 45 – 16 < 16 – 16

✅ r + 45 + 3 < 16 + 3

✅r + 45 - 45 < 16 - 45

the last option I'm thinking, hope this helps

which of the following is a Quadrilateral which must contain diagonals that are always congruent and must always have 90° angles?

Answers

Answer: B

Step-by-step explanation:

A fire ranger stands atop an observation tower 70 feet above the ground and sees a fire in the distance. She measures the angle of depression from where she is to the fire and finds it to be 34° How far away from the base of the tower is the fire?

Answers

Answer:

$103.78\:\mathrm{ft}$

Step-by-step explanation:

We can form a right triangle where the distance between the ranger's current position and fire is the hypotenuse of the triangle. In a right triangle, the tangent of an angle is equal to its opposite side divided by the hypotenuse.

Therefore, we have:

$\tan 34^(\circ)=(70)/(x)$ , where $x$ is the distance between the base of the tower and the fire.

Solving, we get:

$x=(70)/(\tan 34^(\circ))=103.779267796\approx \boxed{103.78\:\mathrm{ft}}$

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Jocelyn and Lorlesha are comparing the size of their villages in the Clash of Clans app. The area of Jocelyn's village is represented by the polynomial, 2w2+10w+12. the area of lorleshas village is represented by the polynomial, 3w2+4w-5, where e represents the width, in meters of their Town hall. part A: find the expression that represents the additional area Jocelyns village.part B: find the expression that represents the combined total area of their villages.