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vodka [1.7K]
3 years ago
13

Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function y = 4x2 + 5x – 1.

Mathematics
1 answer:
Murljashka [212]3 years ago
3 0
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex: <span>(−<span>5/8</span>,−<span>41/16</span>)</span>
Focus: <span>(−<span>5/8</span>,−<span>5/2</span>)</span>
Axis of Symmetry: <span>x=−<span>5/8</span></span>
Directrix: <span>y=−<span>21/8</span></span><span><span>   x.        y
</span><span><span>−3.       </span>20
</span><span><span>−2.        </span>5
</span><span><span>−<span>5/8.    </span></span><span>−<span>41/16
</span></span></span><span> 0.          <span>−1
</span></span><span>1.           <span>8


</span></span></span>

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Is a diameter of 9cm more than a radius of 5cm and which would have the larger circumference?
Tpy6a [65]

Answer:

Circle B

3.14 cm

Step-by-step explanation:

1. The diameter is twice the radius, so the diameter of Circle B is ...

 2 × 5 cm = 10 cm

This diameter is greater than the 9 cm diameter of Circle A, so Circle B is larger and will have a larger circumference.

2. The circumference is the product of π and the diameter. Then the difference between the two circumferences is ...

... (circle B circumference) - (circle A circumference) = π·(10 cm) - π·(9 cm)

... = π·(10 -9) cm = π·1 cm ≈ 3.14 cm

6 0
3 years ago
16. A population of bacteria increases by 30 every hour. Is this situation linear or exponential? Why?
oksian1 [2.3K]

Answer:

D. Linear, because the function increases by a common difference

Step-by-step explanation:

Since it is increasing always at the same rate it is linear.

Please mark Brainliest.

5 0
2 years ago
For an independent-measures research study (i.e., independent measures t Test), the data show an 8-point difference between the
zloy xaker [14]

Answer:

C. 2

Step-by-step explanation:

Cohen's d is a parameter used to express the standardised difference between two means. It is defined as the difference between the means divided by the pooled standard deviation.

In this case, the difference between both means (M2-M1) is 8. As for the pooled standard deviation, simply take the square root of the given pooled variance:

S=\sqrt{S^2}\\S=\sqrt{16} \\S= 4

Therefore, the value of Cohen's d (d) is:

d=\frac{M_{2} -M_{1}}{S} \\d=\frac{8}{4}\\d=2

7 0
3 years ago
A school play sells adult and child tickets. On Friday they sold 55 child tickets and 20 adult tickets for $200. On Saturday the
Anarel [89]

Answer:

$2

Step-by-step explanation:

Let, price of individual child ticket is $x, and price of individual adult ticket is $y.

Now, on Friday we can write an equation is 55x+20y=200....(1).

and on Saturday we can write an equation is 72x+36y=306.....(2).

so, Equation 1: 55x+20y=200

 

Equation 2: 72x+36y=306

now, we are going to solve both equations.

after solving you will find x=2 and y=4.5

Hence, we can say that the cost of child ticket is $2, and the cost of adult ticket is $4.50.

4 0
3 years ago
A six-sided fair die is rolled and a fair coin is tossed. If event M represents getting an odd number on the die and event N rep
Rama09 [41]
Probaility is (desired outcomes)/(total possible outcomes)


odd numbers of dice is 3 (1,3,5)
desired outcomes =3
dice has 6 numbers
total possible outcomes of diece=6
3/6=1/2=dice





coin
tails=1
desired outcomes=1
total possibe=2 since 2 sides (head and tails)
cond poinbabiotiuyy=1/2


they are independend of each other since they do not influence each other
if they were like 'pick 2 collor balls and see what color you get, when you pick one, there is 1 less ball int he bucket so the propbabilit changes'



so
assuming that
P(M and N)= means
'the probability of M and N are both equal to "

The two events are independent. In the given scenario, P(M and N) =1/2.
8 0
3 years ago
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