All categories

2 years ago

Which graph represents the given equation?

Mathematics

1 answer:

Alchen [17]2 years ago

7 0

9514 1404 393

Answer:

Step-by-step explanation:

The axis of symmetry of quadratic ax²+bx+c is x=-b/(2a). For the given equation, the axis of symmetry is ...

x = -4/(2(3/2)) = -4/3

The only graph with its vertex at x=-4/3 is graph A.

_____

Additional comment

You can also make the correct choice by evaluating the equation at a couple of different values of x. Convenient ones are x= -1, or 0, or +1. The value at x=0 is the y-intercept, (0, -2), which seems to be a point on all of the graphs. The value at x=1 is 3/2+4-2 = 3.5, which looks like it is only seen on graph A.

You might be interested in

4581 divided 32 in Long division

lubasha [3.4K]

Answer: 143.15625

Step-by-step explanation:

6 0

3 years ago

what ratio was used on a table that has two sides. on one side the numbers are 12,20,28,and 36. on the other side the numbers ar

ad-work [718]

Ratio is used 4:1 for the table that has 2 sides

3 0

3 years ago

You have a balance of $4,600 on your credit card. The interest rate is 12% (1% per month). The late payment fee is $40.

MariettaO [177]

Answer:

$86

Step-by-step explanation:

first you gotta find the interest

4,600 * 1% = 46

so the interest is $46

then you add the interest and late fees together to get the payment for the month

46 + 40 = $86

your total cost is $86

7 0

2 years ago

Which of the following is a trinomial with a constant term? A. 4x4 + 2x2 - 2x B. -3 + 4x4 C. 2x2 - 5 + x D. 4x4 - 3x2 + x

castortr0y [4]

C. 2x² - 5 + x is a trinomial with a constant term
That polynomial has three terms: (2x²), (-5) and (x)
Term (-5) contains no variable, so this is a constant term.

7 0

3 years ago

PLEASE SOLVE AND CHECK. SHOW COMPLETE SOLUTION

yaroslaw [1]

Answer:

-2/3= x

Step-by-step explanation:

square all the terms on both sides to get rid of the radicals:

$1^{2} + (\sqrt{1-x} )^{2} = (\sqrt{2x+4}) ^{2}$

exponent 2 and the radical cancel each other:

1 + 1 - x = 2x + 4

2 - x = 2x + 4

like terms on each side ( when you move one term tp the other side, it changes its sign ):

2-x = 2x+4

2-4 = +x +2x

-2 = 3x

now to keep the x alone, divide both sides by 3:

-2/3 = 3x/3

-2/3= x

3 0

2 years ago