Ask question

Ask question

All categories

3 years ago

15

Which graph represents the given equation?

1 answer:

Alchen [17]3 years ago

7 0

9514 1404 393

Answer:

A

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.

_____

<em>Additional comment</em>

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

The point (1,-1) is on the terminal side of angle theta in standard position what are the values of sine cuisine and tangent of

pickupchik [31]

$\bf \textit{terminal point }\implies 
\begin{array}{lclcll}
(&1&,&-1)\\
&\uparrow &&\uparrow \\
&x&&y
\end{array}
\\\\\\
sin(\theta)=\cfrac{y}{r}
\qquad 
% cosine
cos(\theta)=\cfrac{x}{r}
\qquad 
% tangent
tan(\theta)=\cfrac{y}{x}\\\\
-----------------------------\\\\
\textit{so, what's the radius "r"?}\implies r^2=x^2+y^2\implies r=\sqrt{x^2+y^2}$

3 0

3 years ago

A supermarket randomly gives each shopper a free two liter bottle of cola during the Saturday shopping hours. The supermarket se

Musya8 [376]

You can use a graph and put all the information on there

8 0

3 years ago

A woman earns $ 1,350 in interest from two accounts in one year. If she has three times as much invested at 7% as she does at 6%

VashaNatasha [74]

Answer:

The woman invested $15,000 at 7% interest rate and $5,000 at 6% interest rate.

Step-by-step explanation:

We are given the following in the question:

Let x be the interest earned from 7% interest rate and y be the interest earned from 6% interest rate.

The woman invested has three times as much invested at 7% as she does at 6%.

Thus, we can write the equation:

$x = 3y$

The total interest is $1,350.

Thus, we can write the equation:

$1350 = \dfrac{7x}{100} + \dfrac{6y}{100}\\\\7x + 6y = 135000$

Solving the two equations by substitution method:

$7(3y) + 6y = 135000\\27y = 135000\\y = 5000\\x = 3(5000) = 15000$

Thus, she invested $15,000 at 7% interest rate and $5,000 at 6% interest rate.

8 0

3 years ago

Help with this please

saul85 [17]

7/8 because you subtract them both by either turning them into decimals and subtracting and the

8 0

3 years ago

The diagram shows a circle, centre O.<br> Work out the value of a. <br> BCO=41 degrees

sattari [20]

Answer:

a = 49°

Step-by-step explanation:

OB = OC ( both radii of the circle ), thus

Δ BOC is isosceles and the base angles are congruent, that is

∠ OBC = ∠ OCB = 41° , so

∠ BOC = 180° - (2 × 41)° = 180° - 82° = 98°

The angle on the circumference BAC is half the angle at the centre for angles subtended on the same arc , thus

a = 0.5 × 98° = 49°

5 0

3 years ago