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3 years ago

What is the best first step in solving the equation 3 +3 square root 6x = 5? A.)Subtract 3 from both sides.

Mathematics

2 answers:

Basile [38]3 years ago

3 0

The answer is b or d hope this help

son4ous [18]3 years ago

3 0

Answer:

Step-by-step explanation

I'm taking the test now, I believe the answer is C

Step 1) Move constant to the right

Step 2) Subtract numbers 5 and 3 to get 2

Step 3) Raise both sides of the equation to the power of 3

Step 4) Divide both sides by 6

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Find the y intercepts of 3x^2+24x-51. quadratic formula

julia-pushkina [17]

Quadratic Formula: $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ , with a = x^2 coefficient, b = x coefficient, and c = constant.

Firstly, starting with the y-intercept. To find the y-intercept, set the x variable to zero and solve as such:

$y=3*0^2+24*0-51\\y=0+0-51\\y=-51$

<u>Your y-intercept is (0,-51).</u>

Next, using our equation plug the appropriate values into the quadratic formula:

$x=\frac{-24\pm \sqrt{24^2-4*3*(-54)}}{2*3}$

Next, solve the multiplications and exponent:

$x=\frac{-24\pm \sqrt{576-(-648)}}{6}\\\\x=\frac{-24\pm \sqrt{576+648}}{6}$

Next, solve the addition:

$x=\frac{-24\pm \sqrt{1224}}{6}$

Now, simplify the radical using the product rule of radicals as such:

Product Rule of Radicals: √ab = √a × √b

√1224 = √12 × √102 = √2 × √6 × √6 × √17 = 6 × √2 × √17 = 6√34

$x=\frac{-24\pm 6\sqrt{34}}{6}$

Next, divide:

$x=-4\pm \sqrt{34}$

<u>The exact values of your x-intercepts are (-4 + √34, 0) and (-4 - √34, 0).</u>

Now to find the approximate values, solve this twice: once with the + symbol and once with the - symbol:

$x=-4+ \sqrt{34},-4- \sqrt{34}\\x\approx 1.83, -9.83$

<u>The approximate values of your x-intercepts (rounded to the hundredths) are (1.83,0) and (-9.83,0).</u>

5 0

4 years ago

What is the value of k?

yawa3891 [41]

Answer:

Step-by-step explanation:

The vertex is (d, e)

for quadratic function: f(x) = ax² + bx + c we have:

d = -b/a and d = (x₁ + x₂)/2

a = 1, b = k, x₁ = -4, x₂=-2

so:

d = -b/a = -k/1 = -k and d = (x₁ + x₂)/2 = (-4-2)/2 = -3

-k = -3

k = 3

7 0

4 years ago

What is the slope of a line parallel to the line whose equation is 5x + 3y = 15

kifflom [539]

For two lines to be parallel, they must have the same slope...

3y=-5x+15

y=-5x/3 +5, y=mx+b, where m=slope so:

A parallel line with have a slope of -5/3

7 0

4 years ago

The volume of a sphere is a function of its radius, V=4/3(pie)(r^3). Evaluate the function for the volume of a volleyball with

Travka [436]

Volume of a volleyball (a sphere) = 4/3πr³
= 4/3π(11.4)³
= 1975.392π
= 6210 cm³ (to 3 significant figures)

The volume of a volleyball with a radius of 11.4 cm will be 6210 cm³.

5 0

3 years ago

Please help!!!!!!!!!!!

Temka [501]

9514 1404 393

Answer:

(d) h = 2A/b

Step-by-step explanation:

Multiply both sides of the equation by the inverse of the coefficient of h.

$A = \dfrac{1}{2}bh=\dfrac{b}{2}\cdot h\\\\\dfrac{2}{b}\cdot A=h\\\\\boxed{h=\dfrac{2A}{b}}$

4 0

3 years ago