Frank's Pet Hotel has a dog to cat ratio of 3 to 7. There are 56 cats at the pet hotel.
How many dogs are at the pet hotel?

Answer:

[tex]8 \le f(4) - f(2) \le 10[/tex]

Step-by-step explanation:

Given

[tex]4 \le f'(x) \le 5[/tex]

Required

Determine the minimum and maximum value of f(4) - f(2)

This question will be answered using the following mean value theorem.

[tex]f'(x) = \frac{f(b) - f(a)}{b - a}[/tex]

In this case: [tex]b = 4[/tex] and [tex]a = 2[/tex]

So, we have:

[tex]f'(x) = \frac{f(4) - f(2)}{4 - 2}[/tex]

[tex]f'(x) = \frac{f(4) - f(2)}{2}[/tex]

Make f(4) - f(2), the subject:

[tex]f(4) -f(2) = 2 * f'(x)[/tex]

From the given range: [tex]4 \le f'(x) \le 5[/tex]

We have that; f'(x) is at minimum at 4

So, the minimum of f(4) - f(2) is:

[tex]f(4) -f(2) = 2 * 4[/tex]

[tex]f(4) -f(2) = 8[/tex]

We have that; f'(x) is at maximum at 5

So, the maximum of f(4) - f(2) is:

[tex]f(4) - f(2) = 2 * 5[/tex]

[tex]f(4) - f(2) = 10[/tex]

Hence, the minimum and maximum values can be expressed as:

[tex]8 \le f(4) - f(2) \le 10[/tex]

Answer:

CCCC.

Step-by-step explanation:

Answer:

x = -3, y = -6. (-3,-6)

Step-by-step explanation:

Answer:

The answer is 7.5

Step-by-step explanation:

3x+18=9x−27

3x+18−9x=9x−27−9x

−6x+18=−27

−6x+18−18=−27−18

−6x=−45

−6x /−6 = −45 /−6

x =  15 /2  which is equal to 7.5 as a decimal.  

Answer:54.23 m

Step-by-step explanation:I’m not sure this is even close to being right but I tried

Answer:

-42x+94y+3z-4

Step-by-step explanation:

2x+6y-3z+5-44x+88y+6z-1

Answer:

c: -7

Step-by-step explanation:

Answer:

what do you mean lol im slow haha

Answer:

In order to solve we need to know what the equation  is.

Step-by-step explanation:

Answer:

14/25

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

I believe that her goal is 20 pages because 75% of 20 is 15.

Step-by-step explanation:

Answer:

871

Step-by-step explanation:

737 divided by 11 is 67, so thats how many miles he drives per hour

67 times 13 is 871

Answer: 871 Miles

Work: So, I did 737 miles divided by 11 hours to find out how many miles he had driven in 1 hour, which is 67. I did 67 x 2 which is 134, and added it to 737, which will give us how much he will drive in 13 hours. And the answer is 871.

Merry Christmas! :)

Answer:

I think it's the third one.

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

-4/5=-8/10=-0.80

12/100=0.12

0.13=13/100

3/4=75/100=0.75

Answer:

1) D

2) C

3) B

4) A

Step-by-step explanation:

type them into desmos online calculator to see the lines

Answer:

8/9, 4/5, 2/5, 1/3, 3/10

Step-by-step explanation:

2/5 = 0.4 8/9 = 0.888 4/5 = 0.8 1/3 = 0.333 3/10 = 0.3

Answer:

The equation of line is: [tex]\mathbf{4x-3y=-18}[/tex]

Step-by-step explanation:

We need to find an equation of the line that passes through the points (-6, -2) and  (-3, 2)?

The equation of line in slope-intercept form is: [tex]y=mx+b[/tex]

where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding Slope

Slope can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have [tex]x_1=-6,y_1=-2, x_2=-3, y_2=2[/tex]

Putting values and finding slope

[tex]Slope=\frac{2-(-2)}{-3-(-6)}\\Slope=\frac{2+2}{-3+6} \\Slope=\frac{4}{3}[/tex]

So, we get slope: [tex]m=\frac{4}{3}[/tex]

Finding y-intercept

Using point (-6,-2) and slope [tex]m=\frac{4}{3}[/tex] we can find y-intercept

[tex]y=mx+b\\-2=\frac{4}{3}(-6)+b\\-2=4(-2)+b\\-2=-8+b\\b=-2+8\\b=6[/tex]

So, we get y-intercept b= 6

Equation of required line

The equation of required line having slope [tex]m=\frac{4}{3}[/tex] and y-intercept b = 6 is

[tex]y=mx+b\\y=\frac{4}{3}x+6[/tex]

Now transforming in fully reduced form:

[tex]y=\frac{4x+6*3}{3} \\y=\frac{4x+18}{3} \\3y=4x+18\\4x-3y=-18[/tex]

So, the equation of line is: [tex]\mathbf{4x-3y=-18}[/tex]

Answer:

60 degrees sorry if its wrong

Step-by-step explanation:

Answer:

0.86 (Approx)

Step-by-step explanation:

Given:

n = 35

P = 55% = 0.55

Q = 1 - p = 0.45

Computation:

Standard deviation σ = √npq

Standard deviation σ = √(35)(.55)(.45)

Standard deviation σ = 2.9432

Mean μ = np = 35 x 0.55 = 19.25

p[(x-np)/ σ ]

P[z<1.04204]

= 0.86 (Approx)

Answer:A

Step-by-step explanation:

Mrs.Miller earns 12 dollars on day one. Mr.Taylor earns 10 dollars.

Answer:

So.... Based on hotbabe's answer, Mrs. Millers class has a $2 greater daily increase.

Step-by-step explanation:

$12-$10=$2

Answer:

1 7/9

Step-by-step explanation:

Could i have branliest please and a heart

Step-by-step explanation:

11/ 36

hope it helps!

.....

Answer:

3.5/1

Step-by-step explanation:

y/x

3.5/1

Answer:

y=-4x+14

Step-by-step explanation:

A parallel line must always have the same slope, so it must be -4x, and on a graph y=-4x+14 passes through the point (4,-2)

Answer:

Slope is -2

y intercept is -3

Equation :y=-2x-3

Step-by-step explanation:

Answer:

-95

Step-by-step explanation:

Follow order of operations,

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Make sure to do them left to right

Answer:

The student is incorrect because I I or absolute value would make the -9 to positive 9.  

Step-by-step explanation:

-9<4

on a numberline

-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4

but the absolute value of -9 (or) |–9|

is actually positive 9

9>4

on a number line

4 5 6 7 8 9

Answer:

A) 5x + 8y [tex]\geq[/tex] 60

Step-by-step explanation:

"At least" translates to the inequality symbol [tex]\geq[/tex] or "greater than or equal to."