What’s the common denominator for 4 and 3

Answer:

Therefore the answer is the fourth option y = f(x) = [tex]x^{2}[/tex]  - 8x + 13

Therefore when x = 4 then y = -3 from the equation of parabola and this is the required vertex.

Step-by-step explanation:

i) f(x) = [tex]x^{2}[/tex] + 8x + 19    =  [tex](x + 4)^{2}[/tex] + 3. SO the vertex is at (-4, 3)

Therefore the answer is the fourth option y = f(x) = [tex]x^{2}[/tex]  - 8x + 13

 = ([tex]x^{2}[/tex]  - 8x + 16) + 3  = [tex](x-4)^{2}[/tex] - 3

Therefore when x = 4 then y = -3 from the equation of parabola and this is the required vertex.

Final answer:

The function with a vertex at the point (4, -3) is f(x) = x² - 8x + 13. This is concluded by using the vertex formula for a quadratic equation and checking the resulting coordinates against the given options.

Explanation:

The question is asking which of the given functions has a vertex at the point (4, -3). To find the vertex of a quadratic function of the form f(x) = ax² + bx + c, we can use the vertex formula, which is h = -b/(2a) for the x-coordinate, and then plug that back into the equation to find the y-coordinate. In this case, the function with the vertex (4, -3) must have the x-coordinate of the vertex at x = 4. Plugging this into the vertex formula, we get 4 = -b/(2a). We then look for a function where -b/(2a) = 4. The function f(x) = x² - 8x + 13 is the correct one because when we apply the formula -(-8)/(2*1) = 8/2 = 4. To confirm, we substitute x = 4 into the function: (4)² - 8(4) + 13 = 16 - 32 + 13 = -3, which gives us the y-coordinate of the vertex, -3.

The population of bacteria after 40 hours is 254

Step-by-step explanation:

Initial population of bacteria = 40

Growth rate: Doubles every 15 hours

The population function is given as:

[tex]P_t = P_0 * r^t[/tex]

Here

P0 is the initial population

r is the growth rate

and t is the time in hours

The growth rate will be: [tex]2^{\frac{t}{15}}[/tex]

Putting the values in the function

[tex]P_t = 40 * 2^{\frac{40}{15}}\\P_t = 40 * 2^{2.67}\\P_t = 40 * 6.34960...\\P_t = 253.98416...[/tex]

Rounding off to nearest whole number we get

P_t ≅254

Keywords: Population growth,, bacteria

Learn more about population growth at:

#LearnwithBrainly

From the information, the population of the bacteria will be 254.

Based on the information given, the population function will be:

= P × 2r

where, P = initial population of the bacteria

= 40 × 6.349

= 253.98

= 254

Therefore, it can be deduced that the population of the bacteria after 4 hours will be 254.

Learn more about equations on:

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Answer: 2.50

Step-by-step explanation

we need to divide dollars / kilogram

Answer:

Step-by-step explanation:

X + 55 + 100 = 180

X = 180 - 100 - 55

X = 25°

Answer: 19/4

Explanation: To write a mixed number as an improper fraction, first multiply the denominator times the whole number and then add the numerator.

So here, we multiply the denominator which is 2 times the whole number, 3, and then we add the numerator. So we have (4 x 4) + 3 which simplifies to 19.

Finally, we put our new number over our old denominator and we have our answer which is 19/4.

So 4 and 3/4 can be rewritten as the improper fraction 19/4.

Explanation of converting [tex]4\frac{3}{4}[/tex] to an improper fraction as 19/4.

To convert the mixed number  [tex]4\frac{3}{4}[/tex]  to an improper fraction, multiply the whole number by the denominator of the fraction, then add the numerator:

4 x 4 + 3 = 19

So,  [tex]4\frac{3}{4}[/tex]  as an improper fraction is 19/4.

Answer:

the symplifayed version is 4

Final answer:

Long division is used to divide 5.04 by 7, giving a quotient of 0.72. We divide 50 by 7 to get 7, then bring down the 0 and 4 consecutively, resulting in 1 and 4 added to the quotient line, respectively.

Explanation:

When you use long division to divide 5.04 by 7, you start by placing the divisor (7) outside the division box and the dividend (5.04), with the decimal point, inside the box. You then determine how many times 7 goes into 50 (the number before the decimal point in 504), which is 7 times. Therefore, you place a 7 above the 50, on the quotient line. Next, you multiply 7 by 7 to get 49, and subtract that from 50, resulting in 1. Shift down the next digit from the dividend, which is 0, making the new number 10. Seven goes into 10 once, so you put another 1 on the quotient line, multiply 7 by 1 giving 7, and subtract again, resulting in 3. Lastly, you bring down the last digit, which is 4, to get 34. Five goes into 34 four times, giving us a final quotient of 0.72.

Answer:

×=4.2

Step-by-step explanation:

3.5x=14.7

÷3.5 ÷3.5

x=4.2

Answer:

4.2

Step-by-step explanation:

divide 14.7 by 3.5

Answer:

I dont know what they tought you in your school...but pizza is 100% good, and 8/2 is 8divided by2 so the answer is 4.

PLESASE MART BRAINLIEST. IT'S OK IF NOT BUT STILL THX.

Answer:

pizza is very good and 8/2 is 4.

Step-by-step explanation:

pls mark brainliest thx! :)

Answer:

(-1,5)

Step-by-step explanation:

Let the coordinates of point A be (a,b).

We have that B is at (-5,1)

Assuming M(-3,3) is the midpoint of the segment AB, then

[tex](-3, 3 )= ( \frac{a + - 5}{2}, \frac{b + 1}{2} )[/tex]

This means that:

[tex]- 3 = \frac{a + - 5}{2}[/tex]

and

[tex]3 =\frac{b + 1}{2}[/tex]

This implies that 2*-3=a-5 and 3*2=b+1

-6=a-5 and 6=b+1.

a=5-6 and b=6-1

a=-1 and b=5.

Therefore the coordinates of A are:

(-1,5)

Answer:

3/4 book per month

Step-by-step explanation:

12/16=3/4

Ashley's reading rate is calculated by dividing the total number of books she read (12 books) by the number of months it took her to read them (16 months), which gives 0.75 book per month.

The question is about determining Ashley's rate of reading in terms of books per month. The rate is determined by dividing the total number of books she has read by the total number of months. In this case, Ashley has read 12 books in 16 months.

To find Ashley's reading rate, you would divide the total number of books she has read (12 books) by the number of months it took her to read them (16 months), that is 12 books ÷ 16 months = 0.75 book per month.

So Ashley's reading rate is 0.75 book per month.

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#SPJ3

Answer:

37

Step-by-step explanation:

Plug 5 in for b .

7.4 * 5 = 37

Answer:

3/4 *7= 3/4 * 7/1=21/4=5 1/4

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

The answer is D: 1,456

Step-by-step explanation:

I got it right on edge

Answer:

32

Step-by-step explanation:

Answer:32

Step-by-step explanation:

Answer:

k(-10)=-6

Step-by-step explanation:

-10+2=-8

3(-8)=-24

-24/4=-6

Step-by-step explanation:

A(promotional sign)b

A=kb

4=21k

K=0. 1904

A=0. 2b

A=0. 2×7

A=1. 4

:

Step-by-step explanation:

a varies directly with b

a ∞ b

a = Kb

K is the constant of proportionality

If a = 4 when b = 21

4 = 21×k

4 = 21k

k = 4/21

: - a = 4b/21

find a when b= 7.

a = 4(7)/21

a = 4/3

a = 1 1/3

Answer: 4.4

Step-by-step explanation:

The formula for calculating the area of regular hexagon is given as :

Area = [tex]\frac{3\sqrt{3}}{2}[/tex][tex]a^{2}[/tex]

Where a is the length of a side.

Substituting the value given , we have :

50 =  [tex]\frac{3\sqrt{3}}{2}[/tex][tex]a^{2}[/tex]

50 x 2 = [tex]3\sqrt{3}[/tex] [tex]a^{2}[/tex]

100 = [tex]3\sqrt{3}[/tex] [tex]a^{2}[/tex]

Divide through by [tex]3\sqrt{3}[/tex]

[tex]a^{2}[/tex] = [tex]\frac{100}{3\sqrt{3}}[/tex]

[tex]a^{2}[/tex] = 19.24500897

Take the square root of both sides :

a = [tex]\sqrt{19.24500897}[/tex]

a = 4.3869

To the nearest tenth

a = 4.4

Answer:

15(b)

16(a)

Step-by-step explanation:

15) 2x+10/2

Taking 2 common

2(x+5)/2

x+5

16) -2(-x-3)

(-2*-x)+(-2*-3)

2x+(6)

2x+6

Answer:

15: B. x+5

16: A. 2x+6

Answer:

5 x 2/5

Step-by-step explanation:

5/1 x 2/5 =

10/5 =

= 2

Answer:

2/5 x 5 first turn 5 into a fraction it becomes 5 over 1  so the new problem is

2/5 x 5/ 1= 10/5= 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the distance be D and time T.

D ∞ T

D = kT

Where k is the constant of proportionality.

k = D/T

When D = 270miles & T = 6hours

k = 270/6

k = 45

:- D = 45T

When T = 8hours

D = 45 × 8

D = 360miles

Answer: 3%

Step-by-step explanation:

S.I = ptr / 100

Interest = 4515 - 4500

Interest = 15

time = 4 months = 4/12 years = 1/3 years

substituting each value into the equation to find rate , we have

15 = 4500 x  1/3 x r  / 100

1500 = 4500 x 1/3 x r

3(4500) = 4500r

r = 3(4500) / 4500

r = 3%

Answer:

3

Step-by-step explanation:

the guy is right above me

Answer:

8 pizzas can serve 16 guests.

Step-by-step explanation:

So the caterer usually prepares 4 pizzas, but now she prepared twice as many, which means that now there are 4 • 2 = 8 pizzas.

Also, there is an estimation that each guest will eat 1/2 of a pizza.

In order to answer how many guests will 8 pizzas serve, we need to write an equation (pizzas per guest multiplied with number of guests equals the number of pizzas). Let's mark the unknown number of guests with x:

1/2 • x = 8

x = 8 / 1/2

x = 16

So, if each guest eats 1/2 of a pizza, then 8 pizzas will be enough to serve 16 guests.

Answer:

3

5

÷

j

=

3

8

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

(

3

5

)

⋅

8

=

j

⋅

3

Step-by-step explanation:Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

(

3

5

)

⋅

8

=

j

⋅

3

Answer: x=2/3y+ −2/3

Step-by-step explanation:

The correct equation that represents the direct variation between the total cost of gasoline and the number of gallons purchased is C = 1.46n.

The question involves finding the equation that represents the direct variation between the total cost of gasoline c, and the number of gallons purchased n. Kathy pays $23.36 for 16 gallons of gasoline. To find the unit price, we divide the total cost by the number of gallons:

$23.36 ÷ 16 gallons = $1.46 per gallon

Since the total cost varies directly with the number of gallons, we can express this as c = $1.46 × n. Thus, option A, C = 1.46n, shows the correct relationship between the total cost of gasoline, c, and the number of gallons purchased, n.

Answer:

Step-by-step explanation:

y=0.23x+1

f(2)=0.23(2)+1=0.46+1=1.46

f(0)=0.23(0)+1=0+1=1

f(-3)=0.23(-3)+1=-0.69+1=0.31