1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Daniel [21]
3 years ago
13

What is the x-coordinate of the vertex of the parabola whose equation is y = 3x2 + 9x?

Mathematics
2 answers:
Westkost [7]3 years ago
4 0
The vertex is (-1.5, -6.75). So the x-coordinate is -1.5. Hope this helps and if so please leave a good rating and thanks. I really appreciate it. Have a nice day!
lisabon 2012 [21]3 years ago
3 0

Answer:

-1.5

Step-by-step explanation:

We have been given an equation y=3x^2+9x. We are asked to find the x-coordinate of the vertex of the parabola for our given equation.

We will use formula \frac{-b}{2a} to finc the x-coordinate of vertex of given parabola.

Upon substituting our given values in above formula we will get,

\frac{-9}{2*3}

\frac{-3*3}{2*3}

\frac{-3}{2}

-1.5

Therefore, the x-coordinate of vertex of given parabola is -1.5.

You might be interested in
The perimeter of a triangle is 17x-5 units. One side is 3.x + 5 units and another is 8x-3 units. How many units long is the thir
Ivahew [28]

Answer:

C = 6x - 7 units

Step-by-step explanation:

Let the three sides of the triangle = A, B, and C respectively.

<u>Given the following data;</u>

Perimeter of triangle, P = 17x-5 units

Side A = 3x+5 units

Side B = 8x-3 units

To find side C?

The perimeter of a triangle is given by the addition of all its three (3) sides.

Mathematically, the perimeter of a triangle is given by the formula;

P = A + B + C

Making "C" the subject of formula, we have;

C = P - A - B

Substituting into the equation, we have

C = 17x - 5 - (3x + 5) - (8x - 3)

C = 17x - 5 - 3x - 5 - 8x + 3

Collecting the like terms, we have;

C = 17x - 3x - 8x - 5 - 5 + 3

C = 6x - 7 units

Therefore, the third side is 6x - 7 units long.

5 0
3 years ago
What is the slope of the line through (3,2) and (-3,4)?
NISA [10]

Answer:

slope = - \frac{1}{3}

Step-by-step explanation:

calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (3, 2 ) and (x₂, y₂ ) = (- 3, 4 )

m = \frac{4-2}{-3-3} = \frac{2}{-6} = - \frac{1}{3}

3 0
1 year ago
Read 2 more answers
use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine cos^4
Firdavs [7]

The expression cos⁴ θ in terms of the first power of cosine is <u>[ 3 + 2cos 2θ + cos 4θ]/8.</u>

The power-reducing formula, for cosine, is,

cos² θ = (1/2)[1 + cos 2θ].

In the question, we are asked to use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine cos⁴ θ.

We can do it as follows:

cos⁴ θ

= (cos² θ)²

= {(1/2)[1 + cos 2θ]}²

= (1/4)[1 + cos 2θ]²

= (1/4)(1 + 2cos 2θ + cos² 2θ] {Using (a + b)² = a² + 2ab + b²}

= 1/4 + (1/2)cos 2θ + (1/4)(cos ² 2θ)

= 1/4 + (1/2)cos 2θ + (1/4)(1/2)[1 + cos 4θ]

= 1/4 + cos 2θ/4 + 1/8 + cos 4θ/8

= 3/8 + cos 2θ/4 + cos 4θ/8

= [ 3 + 2cos 2θ + cos 4θ]/8.

Thus, the expression cos⁴ θ in terms of the first power of cosine is <u>[ 3 + 2cos 2θ + cos 4θ]/8</u>.

Learn more about reducing trigonometric powers at

brainly.com/question/15202536

#SPJ4

5 0
2 years ago
Factor the expression using the GCF. 18-12
rodikova [14]

Answer:

6(3-2)

Step-by-step explanation:

Find the GCF of both numbers. The GCF is 6. Write it as 6(   -   )

Then, divide both numbers by 6. 18 divided by 6 is 3 and 12 divided by 6 is 2. Fill in the blanks with 3 and 2. A=6(3-2)

7 0
3 years ago
Pls help me with this i will give brainlyest to whoever answers first
Ksivusya [100]

Answer:

Senate

Step-by-step explanation:

Senate

6 0
3 years ago
Other questions:
  • Rachel took a two-day road trip last weekend. She drove 65 miles less on Sunday than she did
    6·1 answer
  • Which mixed number is equivalent to 11/4
    8·1 answer
  • Which expression is equivalent to 3x +2(4y + X)
    14·2 answers
  • Find the solution of this system of equations. Separate the x- and y-values with a comma.
    14·1 answer
  • Three consecutive even integers have a sum of 24
    7·1 answer
  • Mr. Osaka sprinkles 1.694 pints of dry, powdered plant food on his garden three times a year. In quarts, what's the total amount
    8·1 answer
  • 1 8/9 divided by 1/6
    5·2 answers
  • 5x + 2y=7<br> - 2x + 6y=9
    10·1 answer
  • 123°
    6·1 answer
  • Please help<br><br> No links as they don’t work<br><br> Will mark brainliest
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!