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
Flauer [41]
4 years ago
5

The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the grap

h?
Mathematics
2 answers:
svetlana [45]4 years ago
7 0
The vertex is (-2, -9)
Lisa [10]4 years ago
7 0

Answer:

The coordinates of the vertex of parabola are (-2,-9).

Step-by-step explanation:

The given function is

f(x)=x^2+4x-5

The vertex of a parabola lies on its axis of symmetry. Since the axis of symmetry is x=-2, tt means the x-coordinate of vertex is -2.

Let the vertex of parabola is (-2,y).

Substitute x=-2 in the given function to find the y-coordinate of vertex.

f(-2)=(-2)^2+4(-2)-5

y=4-8-5

y=-9

Therefore the coordinates of the vertex of parabola are (-2,-9).

You might be interested in
Compounds are different than elements because compounds are-
lutik1710 [3]

Step-by-step explanation:

A compound contains atoms of different elements chemically combined together in a fixed ratio. An element is a pure chemical substance made of same type of atom. ... Compounds contain different elements in a fixed ratio arranged in a defined manner through chemical bonds. They contain only one type of molecule.

4 0
3 years ago
Devaughn is 14 years younger than Sydney. The sum of their ages is 52.What is Sydney's age?
artcher [175]
Set up an equation and solve:
2x-14=52
2x=66
x=33
sydney is 33 and devaughn is 19
5 0
3 years ago
-x^2+2x-8=0 factoring
kramer

(-x-2) (x-4) are the factor of this equation

6 0
3 years ago
Find the annual interest rate.
slega [8]

The annual interest rate is 3.5%.

Solution:

Given Interest (I) = $26.25

Principal (P) = $500

Time (t) = 18 months

Rate of interest (r) = ?

Time must be in years to find the rate per annum.

1 year = 12 months

Divide the time by 12.

Time (t) = \frac{18}{12}=\frac{3}{2} years

Now, find the rate of interest using simple interest formula.

<u>Simple interest formula:</u>

$I=\frac{Prt}{100}

$26.25=\frac{500\times r\times \frac{3}{2} }{100}

$26.25\times 100 =500\times r\times \frac{3}{2}

$2625 =250\times r\times 3

$2625 =750\times r

$\Rightarrow r=\frac{2625}{750}

⇒ r = 3.5%

Hence the annual interest rate is 3.5%.

8 0
3 years ago
10. Write an equation in point-slope form and slope-intercept form for the line.
olga2289 [7]

We can use the points (2, -2) and (4, -1) to solve.

Slope formula: y2-y1/x2-x1

= -1-2/4-(-2)

= -3/6

= -1/2

Point slope form: y - y1 = m(x - x1)

y - 2 = -1/2(x + 2)

Solve for y-intercept.

-2 = -1/2(2)  + b

-2 = -1 + b

-2 + 1 = -1 + 1 + b

-1 = b

Slope Intercept Form: y = mx + b

y = -1/2x - 1

______

Best Regards,

Wolfyy :)

5 0
3 years ago
Other questions:
  • How do I factor this:
    6·1 answer
  • Points (0,0) and (3,3) lie on line k. What is the slope of the line perpendicular to k?
    15·1 answer
  • 3. Tell which number is prime: 18, 42, 68, 79.
    9·2 answers
  • You borrow $1,000 on a simple interest loan. You pay an annual rate of 3.5%. You will take 3 years to pay back the loan. How muc
    7·1 answer
  • Today, the population of Canyon Falls is 22,500 and the population of Swift Creek is 15,200. The population of Canyon Falls is d
    15·1 answer
  • There are 140 apples for every 91 cups of water how many apples are needed for every 1 cup of water
    12·1 answer
  • Need help solving -13 + 2c + 5c + 2
    11·1 answer
  • 6. A tank contains 100-gallon of pure water. At time t = 0, a solution containing 2 lb of salt per gallon flows into the tank at
    8·1 answer
  • Solve for y shown in the figure below
    15·2 answers
  • Please help! Will mark brainliest!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!