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2 years ago

Which of the following describes the parabola with the equation y = −x2 − 3x + 6?

Mathematics

1 answer:

seropon [69]2 years ago

4 0

Answer:

C) The axis of symmetry is x = −1.5 and the vertex is (−1.5, 8.25).

Step-by-step explanation:

The axis of symmetry is x = − b/2a

= -(-3) / 2(-1)

= 3/(-2)

= -1.5

the vertex => x = -1.5

y= -(-1.5)²-3(-1.5)+6 =

-2.25 +4.5+6= 8.25

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A student answers 90% of the questions on a math exam correctly. If she answers 27 questions correctly, how many questions are

alexandr1967 [171]

Answer:

30 questions

Step-by-step explanation:

You can discover this by doing 27 divided by . 90 which equals 30.

6 0

2 years ago

The general term for the sequence 2, 4, 8, 16, 32, . . . is

Nuetrik [128]

We are given

sequence is 2 , 4 , 8 ,16 , 32 , .....

Firstly , we will check whether it is geometric sequence

Checking geometric sequence:

We will find common ratio between successive terms

and then we check whether they are equal

r1=(second term)/(first term)

$r_1=\frac{4}{2}=2$

r2=(third term)/(second term)

$r_2=\frac{8}{4}=2$

r3=(fourth term)/(third term)

$r_3=\frac{16}{8}=2$

r4=(fifth term)/(fourth term)

$r_4=\frac{32}{16}=2$

we can see that all four ratios are same

$r_1=r_2=r_3=r_4=2$

so, this is geometric sequence

Calculation of general term:

We got

common ratio is

$r=2$

Let's assume

number of terms is n

first term is 2

$a_1=2$

now, we can use formula

$a_n=a_1 (r)^{n-1}$

we can plug values

and we get

$a_n=2(2)^{n-1}$

$a_n=2^1(2)^{n-1}$

$a_n=(2)^{n-1+1}$

$a_n=(2)^{n}$ ..................Answer

5 0

2 years ago

It takes 113 pounds of seed to completely plant a 12 -acre field. how many acres can be planted per pound of seed?

svp [43]

The answer is <span>0.10619469026.

It takes about 9lbs of seed to plant 1-acre, so to find the answer divide 12/113 and you get how many acres 1lb of seed could cover.

Hope this helps :-)

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3 0

2 years ago

What is the vertex form of y=-2x2+4x + 3?

sukhopar [10]

Answer:

$y=-2(x-1)^2+5$

Step-by-step explanation:

we have

$y=-2x^2+4x+3$

This is the equation of a vertical parabola open downward

The vertex represent a maximum

Convert the quadratic equation into vertex form

step 1

Factor -2

$y=-2(x^2-2x)+3$

step 2

Complete the square

$y=-2(x^2-2x+1)+3+2$

$y=-2(x^2-2x+1)+5$

step 3

Rewrite as perfect squares

$y=-2(x-1)^2+5$ ----> equation in vertex form

The vertex is the point (1,5)

3 0

3 years ago

In the figure shown below, find the values of the angles given in the first column.

ladessa [460]

Answer:

2) 77°

3) 85°

4) 103°

Step-by-step explanation:

2) 77

3) 85

4) 103

6 0

2 years ago