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3 years ago

What is the correct function of this vertex? h(x)=(x+2)-1

1 answer:

4 0

Try this website called wolfram Alpha. It's an easy-to-use but advanced calculator. It gives you lots of information for every query. Here's a direct link to the answer to your question on Wolfram Alpha: http://www.wolframalpha.com/input/?i=h(x)%3D(x%2B2)-1. Hope this helps!

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Solve by factoring<br> 3x²-13x=10

Dimas [21]

Answer:

x=5, -2/3

Step-by-step explanation:

3x^2-13x=10

3x^2-13x-10=0

factor out,

(3x+2)(x-5)=0,

zero property,

3x+2=0, x-5=0,

3x=0-2=-2

3x=-2, x=-2/3

x=0+5=5, x=5

7 0

3 years ago

At a school carnival, the diameter of the mat of a trampoline is 10 feet and the diameter of its metal frame is 12 feet. What is

GaryK [48]

pi is the ratio of circumference to the diameter of same circle. The length of the metal frame of trampoline considered is: Option D: 37. 7 feet.

<h3>How to find the length of the outer line of a circle?</h3>

Length of the outer line of a circle is called its circumference.

If the circle has got radius of r units length, then

Circumference of that circle = 2π r units = πd units where d is diameter of that circle.

This is why, we get the ratio of circumference to diameter as:

$\dfrac{Circumference}{Diameter} = \pi$

It is given that the trampoline in consideration has got diameter of 12 feet.

It is said that π = 3.14 to be considered (its not its exact value though).

Therefore, we get

$\rm Circumference/12 = 3.14\\\\\text{Multiplying 12 on both sides}\\\\Circumference = 12 \times 3.14 = 37.68 \: \rm feet \approx 37.7 \: feet$

Hence, the length of the metal frame of trampoline considered is obtained as: Option D: 37. 7 feet.

Learn more about circumference of circle here:

brainly.com/question/15211210

5 0

2 years ago

In traveling across flat land, you see a mountain directly in front of you. Its angle of elevation (to the peak) is 3.5°. After

yaroslaw [1]

The height of the mountain is 0. 2 km

<h3>How to determine the height</h3>

First, let's find the hypotenuse of the second triangle

Using the tangent identity, we have;

tan θ = opposite/ adjacent

tan 3. 5 = x/ 19

cross multiply

x = tan 3 . 5 × 19

x = 0. 061 × 19

x = 1. 16 km

Now, we have the hypotenuse side of the second triangle and we need to find the opposite side which is the height of the mountain

Using the sine identity:

sin 9 = y/ 1.16

cross multiply

y = sin 9 × 1. 16

y = 0. 1564 × 1. 16

y = 0. 18 km

y = 0. 2 km in one decimal place

Thus, the height of the mountain is 0. 2 km

Learn more about angle of elevation here:

brainly.com/question/2004882

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7 0

1 year ago

If you are given odds of 6 to 7 in favor of winning a bet, what is the probability of winning the bet?

maxonik [38]

Answer: 6/13

Step-by-step explanation: a/a+b = 6/6+7 = 6/13

7 0

3 years ago

What are these questions i need help

Over [174]

The roots of the equation f(x) = x^2 - 93987 are x = √93987 and x = -√93987

<h3>What are quadratic equations?</h3>

Quadratic equations are equations that have a second degree and have the standard form of ax^2 + bx + c = 0, where a, b and c are constants and the variable a does not equal 0

<h3>How to determine the other roots of the equation?</h3>

The equation of the function is given as:

f(x) = x^2 - 93987

The above equation is a quadratic equation

Express the equation as a difference of two squares

f(x) = (x - √93987)(x + √93987)

Set the equation of the function to 0

(x - √93987)(x + √93987) = 0

Split the factors of the above function equation as follows

x - √93987 = 0 and x + √93987 = 0

Solve for x in the above equations

x = √93987 and x = -√93987

Hence, the roots of the equation f(x) = x^2 - 93987 are x = √93987 and x = -√93987

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5 0

1 year ago