find the quotient-you must show your thinking to support your answer - 5/4 divided by 1/4

Solving the quadratic function, it is found that the factors/zeros of the function are given by x = -1.5 and x = 5.

They are given by the solutions of the function, that is, the values of x for which f(x) = 0.

In this problem, the function is given by:

f(x) = -2x² + 7x + 15.

Then:

-2x² + 7x + 15 = 0.

Which is a quadratic function with coefficients a = -2, b = 7, c = 15, hence:

[tex]\Delta = 7^2 - 4(-2)(15) = 169[/tex]

[tex]x_1 = \frac{-7 + \sqrt{169}}{2(-2)} = -1.5[/tex]

[tex]x_2 = \frac{-7 - \sqrt{169}}{2(-2)} = 5[/tex]

The factors/zeros of the function are given by x = -1.5 and x = 5.

More can be learned about quadratic functions at https://brainly.com/question/24737967

#SPJ2

Answer:

13.75

Step-by-step explanation:

Answer:

wait do u have a word bank or anything like words to go with it or numbers ????

Answer:

8x² + 4x - 10

Step-by-step explanation:

     We will use the order of PEMDAS to solve

-> See attached

(6x+7) (3x-1) - (5x+3) (2x+1)​

   (6x+7) (3x-1) becomes 18x² - 6x + 21x - 7 which is equal too 18x² + 15x - 7

   (5x+3) (2x+1)​ becomes 10x² + 6x + 5x + 3 which is equal too 10x² + 11x + 3

(18x² + 15x - 7) - (10x² + 11x + 3)

   18x² - 10x² = 8x²

   15x - 11x = 4x

   -7 - 3 = -10

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Step-by-step explanation:

( 12 × y ) + 11

The product of 12 & y = 12 × y

Increasing = adding = (12×y) + 11

12y + 11.

Answer:

x=5

y=3

NOW,

or,x×y

or,5×3

or,15 answer

Answer:

15

Step-by-step explanation:

This indicates the multiplication operation.

Given: x =5, y=3

xy= 5 and 3

5 * 3 = 15

xy= 15

Answer:

25

Step-by-step explanation:

Your answer is 25.

More than meaning adding

Less than meaning subtraction

Brainliest? :)

Answers and Step-by-step explanations:

Question 1:

I'm sorry, for this question I am not 100% sure that this answer is correct, but I am going to go with "standard form." I chose this answer because standard form tends to be one of the most easiest methods to use when it comes to graphing, besides the slope intercept form of "y=mx+b." Standard form is also one of the most useful forms to use when finding intercepts, which in this case the question is mentioning the x-intercept.

Question 2:

So for this question, it is asking you about translations on graphs. When a line is translated units away from another line, it means that it is typically the same line just moved an amount of units over.

(I have included the graphs in the attachment. The red line represents the first equation given, and the blue line represents the second equation that was translated up.)

The graph shows that the second (blue) line was translated 3 units up.

I hope that this helps.

Answer:

Isnt the Area of an triangle a 180 degrees

Step-by-step explanation:

3x14=42

110-42=68

So, Matry will have 68 dollars after 14 days. If you dont mind, mark me  brainliest?

Answer:

$58

Step-by-step explanation:

Per day- $3

14 days- 14($3)

so, 14 days he spends $52

Then, He had $110 originally, so to find how much he has left:

110-52=58

So, he has $58 now.

Volume is directly proportional to the temperature. The volume of the new balloon is given by: Option B: 200 cm³

If the initial volume and temperatures for a gas(assuming behaving ideally) are written as: [tex]V_1[/tex] and [tex]T_1[/tex], and the changed volume and temperatures are [tex]V_2[/tex] and [tex]T_2[/tex], then we have:

[tex]\dfrac{V_1}{T_1} = \dfrac{V_2}{T_2}[/tex]

For the given case, we are provided that:

Volume of balloon at [tex]T_1 = 60^\circ C[/tex] is [tex]V_1 = 100 \: \rm cm^3[/tex]

Let for temperature [tex]T_2 = 120^\circ C[/tex], we get volume of balloon (which is the volume of the air inside it) as [tex]V_1 = x \: \rm cm^3[/tex]

Then, by the volume-temperature ratio, we get:

[tex]\dfrac{V_1}{T_1} = \dfrac{V_2}{T_2}\\\\\dfrac{100}{60} = \dfrac{x}{120} \implies x = 2 \times 100 = 200 \: \rm cm^3[/tex]

Thus, the volume of the new balloon is given by: Option B: 200 cm³

Learn more about volume and temperature relation for ideal gases here:

https://brainly.com/question/936104

Answer: 118 cm3

Step-by-step explanation:

I took the test it was correct

Answer:

1824 in²

Step-by-step explanation:

This figure consists of a triangle and a rectangle.

To find the area of the entire figure , we have to find the area of the triangle and the rectangle separately and add them.

Let us solve now.

Area of the triangle

Area = [tex]\frac{1}{2}[/tex] × base × height

Area = [tex]\frac{1}{2}[/tex] × 48 × 12

Area = [tex]\frac{1}{2}[/tex] × 576

Area = 288 in²

Area of the rectangle

Area = length × width

Area = 48 × 32

Area = 1536 in²

Area of the entire figure

Total area = Area  of the triangle + Area of the rectangle

Total area = 288 in² + 1536 in²

Total area = 1824 in²

Hope this helps :-)

Let me know if you have any other questions :-)

1.  12 = 4(4) ----> 12 = 16

2. 12 = -3(4) ------>12 = -12

3. 12 = 3(4) -------->12 = 12

4. 12 =  1/3(4) --------> 12 =  4/3

Answer:

A: Experiment

B: The variables are the vaccine and placebo. The kids are categorical.

C: I can't fill out the table if I dont see one... sorry!! Good luck!

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

3*3.14 = 9.42

9.42+5 = 14.42

The answer is point A.

-hope it helps

Answer:

A

Step-by-step explanation:

Pi has an infinite number of digits, but you don't need very many of them to answer the question!

[tex]\pi \approx 3.14[/tex] (the symbol  [tex]\approx[/tex]  means "approximately equal to").

The quantity [tex]3\pi + 5 \approx 3(3.14)+5=9.42+5=14.42[/tex].  In other words, you are looking for a point between 14 and 15.  It's point A.

Answer:

Step-by-step explanation:

there will be no solution

b.

Bedroom area

Lenght = 5 squares

= 5 × 1/4 inchi

= 5/4 inchi

Width = 4 squares

= 4 × 1/4 inchi

= 1 inchi

Large area = 5/4 × 1 inchi

= 5/4 inchi

Living room

Lenght = 7 squares

= 7 × 1/4 inchi

= 7/4 inchi

Width = 4 squares

= 4 × 1/4 inchi

= 1 inchi

Large area = 7/4 × 1 inchi

= 7/4 inchi

Total Area

Bedroom area + Living room area

= 5/4 + 7/4

= (5+7)/4 inchi

= 12/4 inchi

= 3 inchi

1 square yard = 1296 square inches

so 1 square inches = 1/1296 square yard

3 inchi = 3×1/1296

= 3/1296

= 1/432

Cost = 1/432 × $18

= $1/24

It would cost $1/24 to carpet the bedroom and living room.

Answer:

Step-by-step explanation:

10? i believe so if not then one or two more

Answer:

first photo Answer12-4m secend 2.3/8y+6

Answer:

One

Step-by-step explanation:

Took the test!

Answer:

ONE TRIANGLE

Step-by-step explanation:

TOOK TEST

Answer:

80

Step-by-step explanation:

x*.25=20

x=20/.25

x=80

Answer:

The Answer Should Be 20

explanation:

Hope This Helps :)

Simple interest calculates interest on initial amount only. The investment by Hannah was : Option A: $4800

Suppose that the initial amount of investment is P

And the rate of simple interest is R% annually,

And the time of investment is T years.

Then, the amount of simple interest is calculated as:

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

For the given case, let the initial investment Hannah made was of $P

Then, the time of investment is T = 8 years, R% = 4%, and given that Hannah earned interest I = $1536

Putting values in the above formula, we get;

[tex]I = \dfrac{P \times R \times T}{100}\\\\1536 = \dfrac{P \times 8 \times 4}{100}\\\\P = \dfrac{153600}{32} = 4800[/tex]

Thus,

The investment by Hannah was : Option A: $4800

Learn more about simple interest here:

https://brainly.com/question/5319581

Answer:

See below.

Step-by-step explanation:

a) y = 2x + 3 and y = -2x + 11

 One solution.  They are straight lines with different slopes, so they will intersect at some point.  

b) y = x + 2 and -2x + 2y = 4

  -2x + 2y = 4 can be rearranged to 2y = 2x +4 and then y = x + 4

    Both lines have the same slope, 1.  They are parallel and will never meet.  No solutions.

c) y = x - 3 and y = x + 6

 This has the same answer as c.  Parallel lines (both have slopes of 1.).  They will never meet:  no solutions.

d) y = 7 and y =3x-5

One solution.  Straight lines with different slopes (3 and 0) so they will cross at one point.  [At (4,7)]

e) y = -4x and y = -4x - 1

Same slopes.  There are no solutions.

Answer:

29

Step-by-step explanation:

Let Jiri's age be 'x'. Pamela's age is 3x since Pamela's age is three times Jiri's age.

The sum of their ages is 116:

x + 3x = 116

4x = 116

x = 116 ÷ 4 = 29

x = 29

Jiri's age is 29

Sin function goes up and down, standard amplitude is 1 unit. The sin function modelling the given situation is [tex]f(x) = 30\sin(\dfrac{\pi x}{5}) + 90[/tex]

Suppose that we've got

[tex]f(x) = a\sin(bx + c) + d[/tex]

It has got

The situation given has:

Maximum blood pressure as 120 mm/Hg = a + d

Minimum blood pressure as 60 mm/Hg = -a + d

Thus, adding both will give:

[tex](a+d) + (-a + d) = 120 + 60\\2d = 180\\d = 90[/tex]

Thus, as a + d = 120, thus, a = 120-d = 120 - 90 = 30

Now, The period is given to  be 10 minutes, or we get:

[tex]\dfrac{2\pi}{b} = 10\\\\b = \dfrac{\pi}{5}[/tex]

Since count started from 0, thus, c= 0

Therefore, the sine function modelling the given situation is:

[tex]f(x) = a\sin(bx + c) + d \\\\f(x) = 30\sin(\dfrac{\pi x}{5}) + 90[/tex]

Here x is the number of minutes passed.

Learn more about sine function modelling the situation here:

https://brainly.com/question/12070030

Answer:

A

Step-by-step explanation:

The cost the company budget on average for a gallon of fuel across its operations is given by: Option D: $3.70

A  random variable is usually taking some numerical information of each elementary event of the sample space . (map from sample space to real numbers). Its expected value is the best prediction value in most of the cases. It is the mean or average value of that random variable.

Supposing that the considered random variable is discrete, we get:

[tex]Mean = E(X) = \sum_{\forall x_i} f(x_i)x_i\\\\[/tex]

where [tex]x_i; \: \: i = 1,2,.. , n[/tex] is its n data values

and  [tex]f(x_i)[/tex] probability of [tex]X = x_i[/tex]

Percent counts the number compared to 100 whereas probability counts it compare to 1.

So, if we have a%, that means for each 100, there are 'a' parts. If we divide each of them with 100, we get:

For each 1, there are a/100 parts.

Thus, 50% = 50/100 = 0.50 (in probability)

If assuming that X = Fuel cost per gallon, then

E(X) = Average fuel cost per gallon that the company should budget (its per gallon, means for a gallon)

Using the tabulated value given in the problem, we get:

[tex]Mean = E(X) = \sum_{\forall x_i} f(x_i)x_i\\\\\\\\E(X) = 3.10 \times 0.2 + 3.5 \times 0.3 + 4.05 \times 0.5 = 3.695 \approx 3.70[/tex] (in dollars)

(we converted percentage to probability).

Thus, the cost the company budget on average for a gallon of fuel across its operations is given by: Option D: $3.70

Learn more about expectation of a random variable here:

https://brainly.com/question/4515179

Answer:

D is the correct answer! ~Hope this helps!

Step-by-step explanation:

Work:

Answer:

Sally would have to drive 180 mi in a workweek.

Step-by-step explanation:

You multiply the number of miles it takes her to get to her job by how many times she drives to and from work a day. (She drives 18 mi to work and 18 to get home) (18•2=36) So she drives 36 mi in one day. Then you multiply the number of miles she drives per day (36) by how many days she works a week (5) and you get 180 mi in a workweek.