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nordsb [41]
3 years ago
9

Which graph below solves the following system of equations correctly? y = three over four times x squared minus 3 y = negative t

hree over four times x squared plus 3

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
7 0
Let's rewrite the system of equations:
 y = three over four times x squared minus 3
 y = (3/4) x ^ 2 - 3
 y = negative three over four times x squared plus 3
 y = (-3/4) x ^ 2 + 3
 The system of equations is:
 y = (3/4) x ^ 2 - 3
 y = (-3/4) x ^ 2 + 3
 The solutions are:
 (-2, 0)
 (2, 0)
 Answer:
 
See attached image

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What are the similarities and differences between the standard form and vertex form of a quadratic equation?
guajiro [1.7K]

Answer and Step-by-step explanation: <u>Standard</u> <u>form</u> of a quadratic equation is expressed as: y=ax²+bx+c, while <u>vertex</u> <u>form</u> is written as:

y=a(x-h)²+k.

The similarities between standard and vertex forms is that they show if the graph of the equation has a <u>minimum</u> (when a>0) or <u>maximum</u> (a<0) and it's easier to determine the y-intercept: for standard, the value of c is the intercept; for vertex, the value k is the intercept.

The advantage of standard form is that you can determine the product and sum of the equation's roots, which is a method to determine them.

The advantages of vertex form are: easier to find the vertex of the graph, which is the pair (h,k) and the axis of symmetry, which is the value of h.

8 0
3 years ago
When testing the difference between two population means and the population variances are unknown and unequal, the degrees of fr
levacccp [35]

Answer: 34 degrees of freedom should be used to find the p-value of the test .

Step-by-step explanation:

Degrees of Freedom relates to the maximum number of independent values, that have independence to vary in the sample.

Given : When testing the difference between two population means and the population variances are unknown and unequal, the degrees of freedom are calculated as 34.7.

But degree of freedom must be an integer , so we find the greatest integer less than equal to the calculated degree of freedom.

i.e. [df]=[34.7]= 34

Thus , 34 degrees of freedom should be used to find the p-value of the test .

6 0
4 years ago
Four points, A(0,0), B(1, 2), C(3, 1), and D(2,-1) lie in a plane. Line AD and Line BC are BEST described as
anygoal [31]

Answer:

Parallel

Step-by-step explanation:

Parallel lines are 2 coplanar lines that dont intersect at any point

4 0
3 years ago
1. r-8/5=-4/11<br> 2. 9a/a+4= 3/5
BigorU [14]

Answer:

1 r= 68/55

2 no solution

Step-by-step explanation:

3 0
3 years ago
Trigonometry, can anybody help??
WINSTONCH [101]

Answer:

angle B: 39

AC: 7.288

AB: 11.58

(note: you cut off the part about rounding so make sure that it's rounded correctly before you put in your answer)

Step-by-step explanation:

To solve this we will use SOH, CAH, TOA

we have the angle and the one opposite to it which means we can use either SOH or TOA

let's use TOA

tan(51)=(9/x)

x= 7.288

We can now use pahtagaryous theroem to solve for the hyptonouse

we have

9²+7.288²=C²

C=11.58

Finally, to find angle B we will recall that the angles of a triangle must add to 180.

51+90+a=180

a=39

5 0
3 years ago
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