Evaluate 5(x-1)-2 when x=3

Answer:

A) 3,276 ways.

Step-by-step explanation:

In this case, choosing February 1, February 12, and February 20 would be the same thing as choosing February 12, February 1, and February 20. So, since order does not matter, we will use a combination to solve the question.

The formula for combinations is...

n! / [r!(n - r)!], where n = the number of days in February (28) and r = the number of days you are choosing (3).

28! / [3! * (28 - 3)!]

= 28! / (6 * 25!)

= (28 * 27 * 26) / 6

= (14 * 9 * 26) / 1

= 14 * 9 * 26

= 126 * 26

= A) 3,276.

Hope this helps!

Answer and Step-by-step explanation:

The domain of a function is the values the invariable can assume to result in a real value for the variable. In other words, it is all the values x can be.

Since it's related to area, the values of x has to be positive. The domain must be, then:

[tex]-6x^{2} + 105x - 294 = 0[/tex]

Solving the second degree equation:

[tex]\frac{-105+\sqrt{105^{2} - 4(-2)(-294)} }{2(-6)}[/tex]

x = 3.5 or x = 14

The domain of this function is 3.5 ≤ x ≤ 14

The maximum area is calculated by taking the first derivative of the function:

[tex]\frac{dA}{dx} = -6x^{2} + 105x - 294[/tex]

A'(x) = -12x + 105

-12x + 105 = 0

-12x = -105

x = 8.75

A(8.75) = [tex]-6.8.75^{2} + 105.8.75 - 294[/tex]

A(8.75) = 165.375

The maximum area of the garden is 165.375 square units.

The Range of a function is all the value the dependent variable can assume. So, the range of this function is: 0 ≤ y ≤ 165.375, since this value is the maximum it will reach.

A(x) = 100

[tex]100 = -6x^{2} + 105x-294[/tex]

[tex]-6x^{2} + 105x - 394 = 0[/tex]

Solving:

[tex]\frac{-105+\sqrt{105^{2}-4(-6)()-394} }{2(-6)}[/tex]

x = 5.45 or x = 12.05

The values of x that produces an area of 100 square units are 5.45 and 12.05

Answer:

B. 642.22 units squared

Step-by-step explanation:

Knowing that QP ║ MN and ∠QLP = ∠MLN, then ΔQLP ~ ΔMLN.

That means corresponding sides and heights have the same ratios.

We know that QP = 25, which corresponds to MN = 34. Also, the height of ΔQLP, LS, corresponds to the height of ΔMLN, LR = LS + SR = LS + 10. Let's say LS = x.

We can now write:

QP / MN = LS / LR

25 / 34 = x / (x + 10)

Cross-multiply:

34 * x = 25 * (x + 10)

34x = 25x + 250

34x - 25x = 250

9x = 250

x = 250/9 ≈ 27.78 units

So, LS = 27.78 units and LR = LS + SR = 27.78 + 10 = 37.78 units.

The area of a triangle is denoted by A = (1/2) * b * h, where b is the base and h is the height.

Here, the base of ΔLMN is MN = 34, and the height is LR = 37.78. Plug these in:

A = (1/2) * b * h

A = (1/2) * 34 * 37.78 ≈ 642.22 units squared

The answer is thus B.

~ an aesthetics lover

Answer: kindly check Explanation.

Step-by-step explanation:

The function f(x) = 3x + 4 is a linear regression model. Orion's prediction was obtained by Substituting 25 for x to obtain the predicted variable

f(25) = 3(25) + 4 = 75 + 4 = 79.

However, with a correlation Coefficient of 0.39, which is a numerical value of range - 1 to +1 and is used to measure the statistical relationship between the dependent variable (number of gallons of ice-cream sold per day) and the independent variable (temperature).

The closer the correlation Coefficient (r) value is to +1 or - 1, the stronger the degree of correlation. Positive r values depicts positive relationship while negative r values depicts negative relationship. The closer the r value is to 0. The weaker the relationship and a r value of means there is no Relationship exists between the two variables.

With a correlation Coefficient of 0.39, we can Infer that that only a moderate positive relationship exists between temperature and gallons of ice cream sold per day.

Answer:

Step-by-step explanation:

You can create a right triangle out of this information and then use right triangle trig to solve.

We are given the height of the triangle as the height of the tower which is 150m.

We are given the angle of inclination as the degree the tower makes with the ground which is 72.

From the angle of 72 degrees, which is also known as the reference angle, we have the side across from it (the height) and we are looking for the side adjacent to it (how far from the base of the tower the keys will land). Side opposite the reference angle over side adjacent to the reference angle is the tangent ratio:

[tex]tan(72)=\frac{150}{x}[/tex] and, solving for x,

[tex]x=\frac{150}{tan(72)}[/tex]

Make sure your calculator is in degree mode to solve this. Divide 150 by the tan(72) and find that

x = 48.7 m

Answer:

Option B is the correct option.

Step-by-step explanation:

[tex] - \frac{1}{2} + x = - \frac{21}{4} [/tex]

Move constant to R.H.S and change its sign:

[tex]x = - \frac{21}{4} + \frac{1}{2} [/tex]

Take the L.C.M

[tex]x = \frac{ - 21 + 1 \times 2}{4} [/tex]

[tex]x = \frac{ - 21 + 2}{4} [/tex]

Calculate

[tex]x = - \frac{19}{4} [/tex]

Hope this helps...

Good luck on your assignment..

Step-by-step explanation:

-19/4 is the correct answer for your question

Answer:

12x=10(25+x)

Step-by-step explanation:

Jim's rate=x

Pete's rate=y

Jim and Pete lays the same number of tiles.

So we have,

12x=10y

Pete's can lay 25 more tiles than Jim per hour

We have

y=25+x

Substitute y=25+x into 12x=10y

12x=10y

12x=10(25+x)

12x=250+10x

12x-10x=250

2x=250

x=250/2

=125

x=125

12x=10(25+x) is the equation used to find the rate that Jim can lay tiles

Question:

The volume of a right circular cone with both diameter and height equal to h is 250/7 cm³.

What is the value of h?

Answer:

A. 5

Step-by-step explanation:

Given

Solid Shape: Cone

Volume = 250/7

Diameter = Height

Required

Find the height of the cone

Provided that the diameter (D) and the height (h) are equal; This implies that

D = h ------ (1)

Also, Diameter (D) = 2 * Radius (r)

D = 2r

Substitute 2r for D in (1)

2r = h

Multiply both sides by ½

½ * 2r = ½ * h

r = ½h

Volume of a cone is calculated by;

Volume = ⅓πr²h

⅓πr²h = 250/7

Substitute ½h for r

[tex]\frac{1}{3} * \pi * (\frac{1}{2}h)^2 * h = \frac{250}{7}[/tex]

Take π as 22/7, the expression becomes

[tex]\frac{1}{3} * \frac{22}{7} * (\frac{1}{2}h)^2 * h = \frac{250}{7}[/tex]

Open the bracket

[tex]\frac{1}{3} * \frac{22}{7} * \frac{1}{4}h^2 * h = \frac{250}{7}[/tex]

Multiply both sides by 7

[tex]7 * \frac{1}{3} * \frac{22}{7} * \frac{1}{4}h^2 * h = \frac{250}{7} * 7[/tex]

[tex]\frac{1}{3} * 22 * \frac{1}{4}h^2 * h = 250[/tex]

Multiply both sides by 3

[tex]3 * \frac{1}{3} * 22 * \frac{1}{4}h^2 * h = 250 * 3[/tex]

[tex]22 * \frac{1}{4}h^2 * h = 750[/tex]

Multiply both sides by 4

[tex]4 * 22 * \frac{1}{4}h^2 * h = 750 * 4[/tex]

[tex]22 * h^2 * h = 3000[/tex]

[tex]22 * h^3 = 3000[/tex]

Divide both sides by 22

[tex]h^3 = \frac{3000}{22}[/tex]

[tex]h^3 = 136.36[/tex]

Take cube root of both sides

[tex]h = \sqrt[3]{136.36}[/tex]

[tex]h = 5.15[/tex]

[tex]h = 5[/tex] (Approximated)

Answer:

Length= 58

width= 26

Step-by-step explanation:

Answer:

the leanth of the track is 1/2 miles long.

Step-by-step explanation:

Im sorry that i couldn't complete all the questions, I had a family thing to go to so sorry.

============================================================

Explanation:

Pick two points on this diagonal line where (x,y) has whole number coordinates. Two such points that fit the description are (-3,2) and (1,-1)

Use the slope formula to find the slope through these points

m = (y2-y1)/(x2-x1)

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

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

m = -3/4 is the slope

-------------------------

Extra info:

It doesn't matter which two points you pick as you'll always get the same slope value. Of course, the points must be on the diagonal line.

The negative slope indicates the line goes downhill as you move from left to right.

slope = rise/run = -3/4

rise = -3, a negative rise means we go down 3 units

run = 4, we go to the right 4 units

so we go down 3 and over to the right 4. This will move us from (-3,2) to (1,-1)

Answer:

y = -1/4x + 9/4

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slope

b = y-intercept

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

3-2/-3-1

Slope = [tex]-\frac{1}{4}[/tex]

In this problem, to find the y-intercept [tex]y-y_1 = m (x-x_1)\\[/tex].

y-3 = -1/4 (x+3)

y= -1/4x + 9/4

Answer:

yoo

Step-by-step explanation:

Answer:

The Large Box Weighs 18 kg, and the small box weighs 6.5 kg

Step-by-step explanation:

Let a= the weight in kg of a large box

Let b= the weight in kg of a small box

Multiply both sides of (1)  by 4 and subtract (2) from (1)

1. 20a+8b=412

2. -3a-8b= -106

17a=306

a=18

and

5*8+2b=103

90+2b=103

2b=13

b=6.5

Answer:

  book 25; pen 8

Step-by-step explanation:

If we let b and p represent the cost of a book and a pen, respectively, then the two purchases can be written as ...

  7b +4p = 207

  5b +5p = 165

Multiply the second equation by 4/5 and subtract the result from the first equation:

  (7b +4p) -4/5(5b +5p) = (207) -4/5(165)

  3b = 75 . . . . simplify

  b = 25 . . . . . divide by 3

Dividing the second equation by 5 gives ...

  b + p = 33

Solving for p, we have ...

  p = 33 -b = 33 -25 = 8

The cost of an exercise book is 25; the cost of a pen is 8.

Answer:

1. Homeowners insurance policy

2. Pet insurance policy

Step-by-step explanation:

Homeowners' insurance policy is an insurance policy that covers the damages made to an insured place of residence. The insurance company takes care of damages that occur inside, and outside the house. Damaged furnishing as well as accidents that occur within the house are also catered to by the insurance company. The policyholder pays a deductible out of the total amount of money for the claims of damages while the insurance company takes care of the additional cost. So Selina would resort to a homeowners' insurance policy for her house so as to cover the loss in case of a natural calamity.

The Pet insurance policy also takes care of the veterinary costs of pets just in case they fall ill or suffer any other accidents. Selina would buy a pet insurance policy to take care of this potential problem.

Answer:

Answer:

Slope of Anya's line is m = 3

Step-by-step explanation:

Explanation:-

Given Anya graphed the line

                              (y−2)=3(x−1)

we know that  slope intercept form is

                                y = mx +c

now given Anya line

                           y−2=3(x−1)

            ⇒            y - 2 = 3x - 3

          ⇒             y = 3x - 3 + 2

         ⇒              y = 3 x - 1

Comparing slope -intercept form

                        y = mx +c

slope of Anya's line is m = 3 and y-intercept C = -1

Answer:

M=3

Step-by-step explanation:

Hope this helps!

Answer:

-3, 5/2

Step-by-step explanation:

What are the roots of the function y = 4x2 + 2x – 30?

To find the roots of the function, set y = 0. The equation is 0 = 4x2 + 2x – 30.

Factor out the GCF of : 2, so the equation becomes 0 = 2(2x2+x-15)

Next, factor the trinomial completely. The equation becomes: 0=2(x+3)(2x-5)

Use the zero product property and set each factor equal to zero and solve.

x+3=0      2x-5 = 0

x = -3, 5/2

The roots of the function are -3, 5/2.

Hope this helped!

The roots of the function y = 4x² + 2x - 30 are -3, 5/2 after using the zero product property.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

y = 4x² + 2x - 30

To find the roots of the quadratic equation plug y = 0

4x² + 2x - 30 = 0

4x² + 12x - 10x - 30 = 0

4x(x + 3) - 10(x + 3) = 0

(x + 3)(4x -10) = 0

x + 3 = 0  or  4x - 10 = 0

x = -3 or x = 10/4 = 5/2

Thus, the roots of the function y = 4x² + 2x - 30 are -3, 5/2 after using the zero product property.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

Answer:

see below

Step-by-step explanation:

1.

1, H - 2, H - 3, H - 4, H - 5, H

1, T - 2, T - 3, T - 4, T - 5, T

2.

2,H is one out of 10 possible outcomes, so the probability is 1/10

Answer:

21x + 1

Step-by-step explanation:

f[g(x)]

= f(7x + 2)

= 3(7x + 2) - 5

= 21x + 6 - 5

= 21x + 1

Answer:

The total number of marbles is 3.4*r

Step-by-step explanation:

We have 25% more red than blue, so we can write the equation:

[tex]red = 1.25*blue[/tex]

We have 60% more green than red, so:

[tex]green = 1.6*red[/tex]

In total we have 'r' red marbles, so:

[tex]red = r[/tex]

The total number of marbles in the collection is the sum of all three amount of marbles:

[tex]total = red + blue + green[/tex]

[tex]total = red + (red/1.25) + 1.6*red[/tex]

[tex]total = r + 0.8*r + 1.6*r[/tex]

[tex]total = 3.4*r[/tex]

The total number of marbles is 3.4*r

Hey There!!

Your answer will be 1.

Step-by-step explanation:

If the coordinates of the point D' are (x, y), then, after translation, it will be

D(x + 6, y - 4).

that is 6 units right and 4 units down

It is given that the point before translation is D'(3, 5).

So, x + 6 = 3 + 6 = 9 and

y - 4 = 5 - 4 = 1

So, the y coordinate of point D after translation is 1.

Hope This Helps!!!

By ♡Itsbrazts♡

Answer:

Writing it in matrix form

- 2 - 4 - 5 - 155

1 1 6 101

2 2 - 3 37

I hope this helps you

Answer:

A

Step-by-step explanation:

The answer is A because in the triangle, the two smaller sides added up have to be more than the bigger side, or equal, if it is a right triangle. so 4 is the smallest 4+6=10, so it does not work, but lets see if it is a right triangle

4^2+6^2=16+36=52. it would have to equal 100 to be a right triangle. Use Pythagorean thereon.

For a triangle, the any two sides must be greater than the third side.The measure of AC cannot be equal to 4

A triangle has three sides and angle. For a triangle, the any two sides must be greater than the third side.

Given the following parameters

AB = 10 and

BC = 6

The measure of AC must be 8 for the theorem above to be true

6 +8 > 10

6 +10 > 8

10 + 8 > 6

Hence the measure of AC cannot be equal to 4

Learn more on triangles here: https://brainly.com/question/23945265

#SPJ6

Answer:

hope its helpful to uh....

Answer:

To use up the remaining 3cups of apples, she would need 3cups of oranges, 12cups of strawberries, 6cups of cherry and 9 cups of grape.

Step-by-step explanation:

This is a continuation of the question on the recipe for making salad. The initial recipe from her grandmother is stated below (found on brainly, ID 6786167).

The fruit salad recipe calls for one part apple, one part orange, four parts strawberry, two parts cherry, and three parts grape.

Priscilla uses the same measuring cup to measure all of the fruit, so one part is equal to one cup of diced fruit.

Number of cups required for each fruit in the original recipe:

apple = 1 cup , orange = 1 cup, strawberry = 4cups, cherry = 2cups, grape = 3cups

Original ratios of the cup of fruit respectively = 1:1:4:2:3

Total number of cups required in the original recipe: 1+1+4+2+3 = 11 cups

Now for this question, 3 cups of apples are remaining. And we want to find number of other fruits she needs in order to use up the remaining apples.

To do this we would use the ratios of the cup of fruit.

When we had 1 apple, the ratio was = 1

Now we have 3apples, the new ratio = 3×original ratio

=3×1 = 3

This means we would multiply each of the fruit ratios by 3

For orange, new ratio = 3×1 = 3

For strawberries, new ratio = 3×4 = 12

For cherry, new ratio = 3×2 = 6

For grape, new ratio = 3×3 = 9

To use up the remaining 3cups of apples, she would need 3cups of oranges, 12cups of strawberries, 6cups of cherry and 9 cups of grape.

Answer:

Priscilla uses one part orange, four parts strawberry, two parts cherry, and three parts grape for every one part apple. So, to use three times the quantity of apples, she will have to use three times the quantity of the other fruits as well. She needs three parts orange, twelve parts strawberry, six parts cherry, and nine parts grape for three parts apple.

Step-by-step explanation:

plato/edmentum answer

Answer:

( x-2)^2 + ( y+1) ^2 = 25

Step-by-step explanation:

The equation of a circle is

( x-h)^2 + ( y-k) ^2 = r^2  where ( h,k) is the center  and r is the radius

The center is ( 2,-1) and the radius is the difference from the center to a point on the circle

(2,4) and (2,-1)

 since x is the same the radius is (4- -1) = 5

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

( x-2)^2 + ( y+1) ^2 = 25

Answer:

of what's right and wrong

Step-by-step explanation:

if you don't follow the Bible, when your a Christian, some say you go to the underworld

Answer:

Option (C).

Step-by-step explanation:

Graphed function is,

f(x) = x² - 2x - 3

     = x² - 2x + 1 - 1 - 3

     = (x² - 2x + 1) - 4

     = (x - 1)² - 4

f(-2x) = (-2x)² - 2(-2x) - 3

        = 4x² + 4x - 3

        = 4(x² + x) - 3

        = 4[x² + 2(0.5)x + (0.5)²- (0.5)²] -3

        = 4(x + 0.5)² - 1 - 3

        = 4(x + 0.5)² - 4

        = 4[(x - 1) + 1.5]² - 4

Therefore, parent function 'f' will be a horizontal shrink by 4 units and  shifted 1.5 units to the left.

Option (C) will be the answer.