6.
Which of the quadratic functions has the narrowest graph?


A. y = –x2

B. y = 4x2

C. [tex]y=\frac{1}{4} x^2[/tex]

D. [tex]y=\frac{1}{9} x^2[/tex]

Answer:

54

Step-by-step explanation:

Answer:

y = -3x + 5

Step-by-step explanation:

slope intercept form - y = mx + b

where m = slope and b = y intercept

step 1 identify the slope

slope = change in y over change in x.

Looking at the graphed line, as y goes up 6 x goes down 2

Hence, slope (m) = 6 / - 2 or -3

Step 2: identify the y intercept ( b )

b = The y value of the coordinate where the line passes the y axis.

The line passes the y axis at point ( 0 , 5 )

The y value of that coordinate is 5

Therefore b = 5

Step 3 add everything together

y = mx + b

* replace m with -3 and b with 5 *

the equation of the line in slope intercept form is y = -3x + 5

Answer: 10,985 students

Step-by-step explanation:

You are given the original number of students, the rate of growth and the number of years. The Future value formula can therefore be used:

Number of students in 2010 = Number of students in 1995 * ( 1 + growth rate) ^ number of years

Number of years = 2010 - 1995 = 15 years

Number of students in 2010 = 1,350 * ( 1 + 15%)¹⁵

= 10,985 students

Answer:

=44%of25

=44/100*25

=44/4

=11

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

C^2 = A^2 + B^2

plug in numbers

100 = 64 + B^2

36 = b^2

square

b = 6

Answer:

6 cm

Step-by-step explanation:

A = 4πr^2

4πr^2 = 36π cm^2

r^2 = 9 cm^2

r = 3 cm

d = 2r = 6 cm

Answer:

60000 points per game

Step-by-step explanation:

Basit played an online pin ball game. The first time he got a score of 25000 points than he scored 125000 points and the third time he scored 30,000 . What was his average score per game​.

Solution:

Average is used to represent a list of numbers by a single number. This is usually done by summing each of the numbers in the list and then dividing this result by the amount of numbers in the list.

Since Basit, had 3 scores which were 25000 points, 125000 points and 30000 points. To find the average, we sum all the scores and divide the result by 3 (that is because we have 3 scores). Hence:

Average score per game = (25000 + 125000 + 30000) / 3 = 60000 points per game

Answer:

Step-by-step explanation:

is product propriety

log AB = log A +log B

1/2 ㏒57 + 1/2 ㏒ 74 = 1/2 ㏒ 57*74 = 1/2 ㏒4,218

and power propriety

log [tex]log _{b} m^{p} = p* log_{b} m[/tex]

1/2 log 4,218 = log 4,218^1/2

Given that eight bags of grapes cost twenty dollars, the cost of 3 bags of grapes will be $7.5.

Given that;

8 bags of grapes cost $20.00

First, we find how much each bag of grape cost

8 bags = $20.00

1 bag = x

x = $20.00 / 8

x = $2.5

Now, if 1 bag of grapes cost $2.5

3 bags of grapes will cost y

y = 3 ×$2.5

y = $7.5

Given that eight bags of grapes cost twenty dollars, the cost of 3 bags of grapes will be $7.5.

Learn more word problems here: brainly.com/question/2610134

#SPJ2

Answer:

1

Step-by-step explanation:

The problem is basically asking us to find the value on the graph corresponding to the x value of 1. We can draw a line with the equation x = 1(or just trace your finger up) to see that when x = 1, the output of the function is at the value 1 as well(the y value).

Picture Attached..

Answer.. 44.52°

Answer:

44.5

Step-by-step explanation:

got 100% on plato

Answer:

B) 2.25

Step-by-step explanation:

Given:

x = -2

y = 4

z = -5

Work:

[tex]\frac{x^2-z}{y} \\\\\frac{(-2)^2-(-5)}{4}\\\\\frac{4+5}{4} \\\\\frac{9}{4} \\\\2.25[/tex]

Answer:

True

False

True

Step-by-step explanation:

Answer:

12 right 6 up (12,6) and 3:1 or 3

Step-by-step explanation:

Answer:

30 strawberry sundaes.

Step-by-step explanation:

We know there is a total of 70 sundaes.

3 sundaes will be strawberry.

4 sundaes will be choclate.

When you add 3 and 4 together, you get 7. This is your total ratio.

So 3/7 of the sundaes are strawberry.

And 4/7 of sundaes are choclate.

We know there is a total of 70 sundaes.

The total ratio we figured out is 7.

If the total sundaes is 70, and the total ration is 7. Then the total sundaes is 10 times bigger than the ratio.

This means we need to multiply the 3 strawberry sundaes and 4 choclate sundaes by 10.

3*10=30

4*10=40

So there are 30 strawberry sundaes and 40 choclate sundaes.

We need to find the strawberry sundae amount, so the answer is 30.

Hope this helps!

Answer:

n = 4

Step-by-step explanation:

[tex]\sqrt{64} \cdot \sqrt[3]{8} = \sqrt{8 \times 8} \cdot \sqrt[3]{2 \times \ 2 \times 2 }[/tex]

            [tex]= 8 \cdot 2\\=2^3 \cdot 2\\=2^4\\[/tex]

Answer:

Step-by-step explanation:

[tex]\sqrt{64}[/tex] .[tex]\sqrt[3]{8}[/tex]

8.[tex]8^{1/3}[/tex]

[tex]8^{1+1/3}[/tex]

[tex]8^{4/3}[/tex]

[tex]2^{2*4/3}[/tex]

[tex]2^{8/3}[/tex]

therefore n=8/3

Answer:

35

Step-by-step explanation:

I used Symbolab here's the screenshot

Answer:

Step-by-step explanation:

A company paid S /. 72 180 for a batch of 36 laptops and S /. 101 220 for a batch of 84 printers. What is the price per unit of each product?

For Laptops

72 180/36

= 2005

For Printers

101 220/84

= 1205

Answer:

36

Step-by-step explanation:

5(4)+16=20+16=36

Answer:

1/12

1 out of 12

1:12

0.08333333333333333333333333333333333333333333(repeating forever)

8.33333333333333333333333333333333%

about 8.3%

depends on the format you want but probably the first one

Step-by-step explanation:

the individual probabilities are 1/2 ice cream, 1/3 pineapple, 1/2 granola

so multiply them to see what the probability of getting them all is

1/2 * 1/3 * 1/2 = 1/12

Hope this helps! :)

Answer:

1/12 is the answer

Step-by-step explanation:

I don't know how to explain it that's just the answer I got

Answer:

6 (v-3)^2

Step-by-step explanation:

6v^2–36v+54

Factor out a 6

6(v^2–6v+9)

Then factor inside the parentheses

What 2 numbers multiply to 9 and add to -6

-3*-3 =9    -3+-3 = -6

6( v-3)(v-3)

6 (v-3)^2

Answer:

3 sqrt(3)

sqrt(7)

Step-by-step explanation:

7 sqrt(3) - 2 sqrt(3) + sqrt(3) - 3 sqrt(3)

Factor out the sqrt(3)

sqrt(3) (7 -2+1-3)

Combine like terms

sqrt(3) (3)

3 sqrt(3)

5 sqrt(7) + 4 sqrt(7) - 8 sqrt(7)

Factor out the sqrt(7)

sqrt(7)( 5+4-8)

Combine like terms

sqrt(7) (1)

sqrt(7)

Step-by-step explanation:

a) We can factor out √3 from all of the terms:

√3(7 - 2 + 1 - 3) = 3√3

b) We can factor out √7 from all the terms

√7(5 + 4 - 8) = √7

Answer:

It is 40 I hope that it is helpful have a nice day

Answer:

Step-by-step explanation:

6.

P(even)=4/8=1/2

=50 %

7.

P(8)=23/50

=46 %

Answer:

21 and 24 are congruent, and the sum of the measures

Answer:

5.8

Step-by-step explanation:

Answer:

13/15

Step-by-step explanation:

Answer:

Step-by-step explanation:

HOPE IT HELPS MUCH

Answer:

[tex]$ \frac{\text{13}}{\text{85}} $[/tex]

Step-by-step explanation:

Given :

ΔRST is a right angled triangle with right angle at ∠RTS.

RT = 13, SR = 85 and TS = 84

We are required to find the ratio that represents the sine of angle RST.

Therefore, using trigonometric ratios, we know that :

[tex]$\sin \angle RST = \frac{\text{perpendicular}}{\text{hypothenuse}} $[/tex]

[tex]$\sin \angle RST = \frac{\text{RT}}{\text{RS}} $[/tex]

[tex]$\sin \angle RST = \frac{\text{13}}{\text{85}} $[/tex]

Therefore, the ratio that represents the sine of of ∠S is   [tex]$ \frac{\text{13}}{\text{85}} $[/tex] .

Answer:

150cm^3

Step-by-step explanation:

The problem says to use 3 for pi so then you just plug everything into  the equation as 6=height and 5=radius

3*5^2*6=450

450/3=150

Answer:

...... The answer is 37.5cm³ , please ignore the handwriting...