Write the quadratic equation whose roots are -1 and -4, and whose leading coefficient is 4. (Use the letter x to represent the variable.)

Write The Quadratic Equation Whose Roots Are -1 And -4, And Whose Leading Coefficient Is 4. (Use The

Answers

Answer 1

Answer:

 4x² + 20x + 16 = 0

Step-by-step explanation:

Quadratic equation:

       (leading coefficient) * [x² - (sum of roots)*x + product of roots] = 0

4* [x² - ( -1 -4)x + (-1)*(-4) ] = 0

          4*[ x² - (-5)x + 4]     = 0

               4 * [x² + 5x + 4] = 0

            4*x² + 4*5x + 4*4 = 0

               4x² + 20x +  16  = 0


Related Questions

Which of the following figures has a circumference that is closest to 121 inches?
A
a circle with a diameter of 38.5 inches

B
a circle with a diameter of 19.3 inches

C
a circle with a radius of 38.5 inches

D
a circle with a radius of 6.2 inches

Answers

Answer:

A.

Step-by-step explanation:

C = 2πr = πd

A. C = π(38.5 in.) = 120.95 in.

First guess: Answer: A.

which inequality is represented by this graph?

Answers

Answer:

the answer is A for the shaded region

Each of the 7 cats Ik a pet store was weighed here are their eights in pounds
7,16,10,16,9,13,14 help me find the mean and median

Answers

Answer:

Below in bold.

Step-by-step explanation:

7,16,10,16,9,13,14

Arrange in ascending order:

7 9 10 13 14 16 16

The median = middle value

= 13 pounds.

Mean = (7+9+10+13+14+16+16)/7

= 12.14 pounds.

Select the correct answer.
What is the range of this absolute value function?
y
-10
-10.
-8
9
N-
N
A
-6
-8
-10
10

Answers

A.Tells you where it goes from the y

Which of the following functions matches this graph?
X
-54-3 -2 -1
1 2 3 4 5
a. y = x²
b. y = 3x²
M Ca
a
7 M
T?
U
d.
y
11
--x
10

Answers

Answer:

x plus y is 44 to the 99th power

Step-by-step explanation:

17 Which numbers make the comparison true? 27,768 Select the two correct answers. A 27,759 8 28.744 26,773 27,568 E 27,836​

Answers

Answer:

B and D

Step-by-step explanation:

hope it helps in some way possible

Assuming Earth to be a sphere of radius 4000 miles, how many miles north of the Equator is City A, if it is 36° north from the Equator?

Answers

Answer:

2513 miles

Explanation:

[tex]\sf Length \ of \ arc = \dfrac{\theta}{360} * 2\pi r[/tex]

Here given:

∅ = 36°

radius = 4000 miles

Insert following:

[tex]\sf \rightarrow \dfrac{36}{360} * 2\pi (4000)[/tex]

[tex]\sf \rightarrow 800\pi \ \ \ (in \ terms \ of \ \pi )[/tex]

[tex]\sf \rightarrow 2513.3 \ \ (rounded \ to \ nearest \ tenth)[/tex]

[tex]\sf \rightarrow 2513 \ \ (rounded \ to \ nearest \ mile)[/tex]

200(x-0.3)=600
-10(x-1.7)=-3

Answers

Answer:

x = 33.

x = 2.

Step-by-step explanation:

200(x-0.3)=600

200x - 60 = 600

200x - 60 + 60 = 600 + 60

200x = 660

x = 660/200

x = 3.3.

-10(x-1.7)=-3

-10x + 17 = -3

-10x + 17 - 17 = -3 - 17

-10x = -17 - 3 = -20

     x = 2.

e demand for a certain product is random. It has been estimated that the monthly demand of the product has a normal distribution with a mend of 390units. The unit price of product is ETB 25. Ordering cost is ETB 40 per order and inventory carrying cost is estimated to be 35 percent per year. Calculate economic order quantity (EOQ). 10. Given the data below, what is the simple linear regression

Answers

The economic order quantity of the product with the demand of 390 units is 1392.86 units.

What is an economic order quantity?

This refers to an inventory management technique that helps make efficient inventory management decisions.

The formula for economic order quantity is [tex]\sqrt{2 * D * S / H}[/tex]

Given data

Demand = 390 units.

Unit price of product is ETB 25.

Ordering cost is ETB 40 per order

inventory carrying cost is estimated to be 35 percent per yer

EOQ = [tex]\sqrt{2*390*25/40*0.35}}[/tex]

EOQ = 19,500 / 14

EOQ = 1392.85714286

EOQ = 1392.86 units

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If x-1/-3=y-2/2k=z-3/2 and x-1/3k=y-5/4=z-6/-5 are perpendicular, find the value of k

Answers

I believe the value of k = 450

a=2,b=1 and c=4.What is 3ac-a+2b

Answers

Step-by-step explanation:

a = 2

b = 1

c = 4

Question:

[tex]3ac - a + 2b[/tex]

= Solution ,

= 3 × 2 × 4 - 2 + 2 × 1

= 24 - 2 + 2

= 24 + 2 - 2

= 26 - 2

= 24

hence the answer is 24....

The prime factorisation of √169 is?

Answers

Answer:

Square root of 169 by Prime factorization is 13×13

Answer:

13*13

Hope this helped!

Is (-3, 1) a solution to this system of inequalities?
5x + 5y ≤ -19
10x 16y < 1

yes or no

Answers

Answer:

No

Step-by-step explanation:

5(-3)= -15

5(1)= 5

-15+5=-10

-10 is greater than -19 not less than or equal too.

Hope this helps!

First try was incorrect
Ivy is making fasnacht (deep-fried German doughnuts) to sell the
Tuesday before Ash Wednesday, her bakery's biggest fasnacht day of
the calendar year. She has 6 pounds of butter and her recipe calls for
1
2
cup of butter per 1.5 dozen fasnacht. If 1 pound of butter is 2 cups,
then how many cups of butter will Ivy have left over after making 30

Answers

Answer:

3 cups of butter ivy will have left over

Solve 2(x + 1) = 2x + 2

Answers

1) multiply out the braket
2) subtract 2 from both sides in order to have all the numbers on one side
3) subtract 2x from both sides in order to have all the x’s on one side

Find the area.
14 in
6.8 in

Answers

Answer:

95.2

Step-by-step explanation:

It nearly confused me, but I got the entire thing in my brain.

Given equation:

14 * 6.8

Solve:

Transfer:6.8 ⇒ 68Solve:14 * 68= 952Transfer a decimal point to the right 1 space:952 → 95.2.

Answer is 95.2.

The number of students who signed a petition for more​ after-school sports is​ 195, or​ 30% of the students at school.​ Terry's calculations show that there are 58.5​ students, but he knows that number is incorrect. What is the correct​ enrollment? What was​ Terry's error?
Question content area bottom
Part 1
The correct enrollment is

enter your response here ​student(s). Terry found

the percent of 195 that 30 is
30% of 195
what 195 is 30% of
instead of finding

Answers

Answer:

650

Step-by-step explanation:

195

_. of 30

100

and these 30 zero cut and 100 zero also cut and 3 * 195= 65 and 65 x 10 =650

Given: 1 = 2

If AB = 10, AC = 6, and BC = 6, find AD:

Answers

The length of AD in triangle ABC in which ∠1 = ∠2 is 3.75.

What is Angle Bisector?

The (interior) bisector of an angle, also called the internal angle bisector, is the line or line segment that divides the angle into two equal parts.

Here, Let the lenght of AD be x

         AB = 10 , AC = 6 and BC = 6

by Angle-Bisector theorem which states that

if a ray bisects an angle of a triangle, then it divides the opposite side into segments that are proportional to the other two sides.

So, CD/BD =AC/AB

      CD/(BC-CD) = 6/10

       10. CD = 6.BC - 6.CD

        16 CD = 6 X 6

         16 CD = 36

          CD = 36/16

         CD  = 2.25

Now, AD = AC - CD

         AD = 6 - 2.25

         AD = 3.75

Thus, the length of AD in triangle ABC in which ∠1 = ∠2 is 3.75.

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Whats the difference between 16x + 5 and 4x + 5

Answers

Difference = -

Difference Between 16x+5 and 4x+5

16x+5-4x+5

C.L.T (Collect Like Terms)

16x-4x+5+5

12x+10

PLEASE HELP WILL MARK BRAINLIEST

Answers

[tex]\bold{ANSWER:}[/tex]
44.42

[tex]\bold{SOLUTION:}[/tex]


Calculate the diameter of the
circle.

Answers

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

         [refer to attachment for question]

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

Remember, the radius is exactly one-half of the diameter, so if we need to find the diameter, we multiply the radius times 2:-

r=6.5m

d=13m

r=9.1 ft

d=18.2 ft

Good luck with your studies.

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

pls help with this problem

Answers

Answer:

D

Step-by-step explanation:

The median is 8, so it is less than 9.

Answer:

Option D is not true

Step-by-step explanation:

The mode is the highest occuring number.From the data.

The mode is 9 and is greater than 7.This mean option A is correct.

The range is the difference between the highest number and the lowest which is 15-4 =11.Hence option C is correct because the range is more than 10.

The median when the data is arranged in either ascending or descending order i.e (15,12,11,9,9,7,5,4).Hence,the middle numbers are 9 and 9.To get the median,we get the average of the numbers which will be 9+9=18 ÷2= 9. The median is 9 which means option D is not correct.

The mean will be the addition of the numbers divided by the number of items

[tex] \frac{9 + 15 + 5 + 7 + 9 + 12 + 11 + 4}{8} [/tex]

[tex] = \frac{72}{8} [/tex]

[tex] = 9[/tex]

The mean is equal to 9 which means Option B is correct.

This implies that the only option which is incorrect is option D

Which of the following graphs is not a function ?

Answers

Answer:

I believe it should be the first one

Step-by-step explanation:

in the first one if you put a line straight it would cross it twice making it not function.

Answer:

The first one is not a function.

Step-by-step explanation:

When you perform the vertical line test on the graphs, the first graph is the only one that passes through a X value multiply times.

The table displays the scores of students on a recent exam. Find the mean of the
scores to the nearest 10th.
Score Number of Students
65
5
70
6
75
8
80
2
85
9
90
1
95
6
100
3

Answers

Answer:

43.75, or 43.8 to the nearest 10th

Step-by-step explanation:

The mean is the mathematical average of a set of two or more numbers.  Summing the numbers in a set and dividing by the total number gives you the arithmetic mean.

The total of your numbers is 700.

There are 16 numbers.

700 divided by 16 is 43.75

5 points
11 cm
I literally dont know what to do

Answers

Maybe find the other half of the circle?

A healthy school lunch that is $0.75 more than the current lunch has a higher economic

Answers

The fact that the healthy school lunch has a higher price than the current lunch means that it has a higher economic cost.

What is an economic cost?

An economic cost in this scenario, is the increased cost that comes with a commodity having greater perceived value.

A healthy school lunch will help a person stay healthy which is why it has more value than the current lunch. This is the reason for its higher price.

Find out more on economic cost at https://brainly.com/question/902188.

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Answer: cost

Step-by-step explanation:

How would you write 8^5 as a multiplication expression? A. 8 × 5 B. 8 × 8 × 8 × 8 × 8 C. 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5

Answers

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

if we ever face a number written in the form of [tex]\underline{x^{n}}[/tex]where x denotes the base and n denotes the exponent or power , we can expand it in the following way -

[tex] x^{n} = x \times x \times x \times.... x ( upto\: " n " \: times )[/tex]

therefore ,

[tex]8 {}^{5} = 8 \times 8 \times 8 \times 8 \times 8[/tex]

option ( B )

hope helpful -,-

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

[tex]\diamond\:\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\:\diamond[/tex]

           ✶ How would you write [tex]\bold{8^5}[/tex] as a multiplication expression [tex]\textit{?}[/tex]

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]

    ✶ The exponent indicates how many times a certain number was multiplied by itself.

      ✶ In this case we have [tex]\bold{8^5}[/tex], so 8 was multiplied by itself five times.

So we conclude that [tex]\bold{8^5}[/tex] written as a multiplication expression looks as follows:-

[tex]\bigcirc\!\!\!\!\checkmark[/tex] 8•8•8•8•8

Good luck.

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

If xy + 1/(xy) = 2 , then what does (x^2)(y^2) + 1/((x^2)(y^2)) = ?
Show all work.
Show any graphical support.
Explain what happened with both the math work and the graph(s).

Think about what happened.
Would it happen with more terms or the next function in the sequence?
Why or why not? Explain.

Answers

The value of the expression will be   [tex](xy)^2+\dfrac{1}{(xy)^2}=2[/tex]

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

The value of the expression is [tex]xy+\dfrac{1}{xy}=2[/tex]

So we need to find [tex](xy)^2+\dfrac{1}{(xy)^2}=?[/tex]

The value of the expression will be calculated as:-

 [tex]xy+\dfrac{1}{xy}=2[/tex]

Squaring the above equation.

[tex](xy)^2+\dfrac{1}{(xy^2)}+2\times (xy)^2\times \dfrac{1}{(xy^2)}=4[/tex]

[tex](xy)^2+\dfrac{1}{(xy^2)}=2[/tex]

Again squaring the above expression.

[tex](xy)^4+\dfrac{1}{(xy^4)}+2\times (xy)^4\times \dfrac{1}{(xy^4)}=4[/tex]

[tex](xy)^4+\dfrac{1}{(xy^4)}=2[/tex]

Hence the value of the expression will be   [tex](xy)^2+\dfrac{1}{(xy)^2}=2[/tex]

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Kenosha is having a lunch with 4 of her friends at a fancy restaurant. The bill total is $175.50 if a 20% tip is added onto the total how much each person need to contribute

Answers

Answer:

$8.78

Step-by-step explanation:

first you need to find 20% of $175.50

which is 35.10

then you divide 35.10 by 4 leaving you with 8.78

please mark brainliest

13 of 15
L
Find the x-intercepts of the parabola with
vertex (-1,-17) and y-intercept (0,-13).
Write your answer in this form: (*1,91),(X2,42).

Answers

Answer:

(√30 - 1, 0)(-√30 - 1, 0)

Step-by-step explanation:

Making the equation of the parabola :

⇒ y = a(x - h)² + k

⇒ y = (x + 1)² - 17 - 13

⇒ y = (x + 1)² - 30

x-intercepts have y = 0 :

0 = (x + 1)² - 30(x + 1)² = 30

Taking the square root on each side :

√(x + 1)² = √30x + 1 = ±√30x = ±√30 - 1

The x-intercepts are :

(√30 - 1, 0)(-√30 - 1, 0)
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