What is the Nature of Roots of x^2+9x+14=0?

Answers

Answer 1

Answer:

(x+7)(x+2)

Step-by-step explanation:

If we multiply it out we get:

x * x = x^2

7 * x = 7x

2 * x = 2x

7 * 2 = 14

Add it all, we get: x^2 +9x+14

Therefore these are the factors


Related Questions

A baking mix consists of powdered milk, sugar, and flour in a ratio of 3:4:13.
How many pounds of each ingredient do you need to make 4 lb of baking mix?

Answers

Answer:

Sugar = 0.8 lb

milk = 0.6 lb

Flour = 2.6 lb

Step-by-step explanation:

Firstly, we add the ratios = 3 + 4 + 13 = 20

For milk, we have 3/20 * 4 = 12/20 = 0.6 lb

For sugar l, we have 4/20 * 4 = 16/20 = 0.8 lb

For flour = 13/20 * 4 = 52/20 = 2.6

You will need:

[tex]Milk = 0.6 $ lb\\Sugar = 0.8 $ lb\\Flour = 2.6 $ lb[/tex]

Given:

Milk : Sugar : Flour = 3 : 4 : 13

To find the number of pounds of each ingredient required to produce 4 lb of baking mix, solve as follows:

Amount of each ingredient needed = ratio of each ingredient / total ratio value x 4 lb

Thus:

Total ratio value = [tex]3 + 4 + 13 = 20[/tex]

Amount of milk needed = [tex]\frac{3}{20} \times 4 = 0.6 $ lb[/tex]

Amount of Sugar needed = [tex]\frac{4}{20} \times 4 = 0.8 $ lb[/tex]

Amount of Flour needed = [tex]\frac{13}{20} \times 4 = 2.6 $ lb[/tex]

Therefore, you will need the follow amounts to make 4 lb of baking mix:

[tex]Milk = 0.6 $ lb\\Sugar = 0.8 $ lb\\Flour = 2.6 $ lb[/tex]

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Will give brainliest, like, comment, and 5 points
Could you please answer this:
The answers you can choose are proportional or non-proportional.

Answers

One is 5 two is 10 three is 5

What is the perfect square of 4 with an exponent of 2

Answers

Answer:

[tex]\sqrt{4^{2}[/tex] = 4

Step-by-step explanation:

the square root cancles out the exponet because it's just the same thing. One is a negative impact the other is positive.


What is the degree of the expression below?
x2-3x +7

Answers

Answer:

1

Step-by-step explanation:

I received $385 back from the government, which represented the 17.5% purchase tax on a piece of equipment. How much did I pay for this equipment in the first place?

Answers

Answer:

[tex]the \: equipment \: price \: is : 2,200.[/tex]

Step-by-step explanation:

[tex]let \: the \: original \: price \: be \: x \\ then \: 17.5\% \: of \: x = 385 \\ \frac{17.5}{100} \times x = 385 \\ 17.5x = 100 \times 385 \\ x = \frac{38500}{17.5} \\ x = 2,200.[/tex]

A school printed 315 tickets to the spring dance. There are 255 tickets left. Which equation can be used to find how many tickets have been sold?

Answers

You didn't add any options but here's one that would work.

315 - 255 = 60

When there is a problem asking how many are left, taken, sold, given, etc. You are usually dealing with subtraction.

Hope that helps and have a great day!

Answer:

The last choice (x+255=315 )

Step-by-step explanation:

This is because we know the total number of tickets is 315 and they have 255 left. So, x + 255 = 315. Because you subtracted __ from 315 to get 255. You can rewrite that as __ + 255 = 315 or  x + 255 = 315

The Baldwin family walked 4/5 of a mile in 4/9 of an hour. What is their unit rate in miles per hour?

Answers

Answer:

1.8

Step-by-step explanation:

Unit rate in mile per hour

=  4/5 mile / 4/9 hour

= 4/5 * 9/4 = 9/5  miles per hour

= 9/5 = 1.8 miles per hour

the answer is 1.8 :)

Nola hiked down a trail at a steady rate for 10 minutes. Her change in elevation was −190 feet. Then she continued to hike down for another 20 minutes at a different rate. Her change in elevation for this part of the hike was −200 feet. During which portion of the hike was her rate of change in elevation greater? Complete the explanation. Her rate was faster in the (Select: First, Second) part of the hike, because her heart rate was ____ ft/min in the first part and ___ ft/min in the second part.

Answers

Answer:

Her rate was faster in the FIRST because her rate was - 19 ft/ minutes in the FIRST PART and - 10ft/minute in the SECOND part

Step-by-step explanation:

Portion 1

Time taken to hike down = 10 minutes

Change in elevation = - 190 ft

Portion 2

Hiked down for further 20 minutes

Change in elevation = - 200ft

During which portion of the hike was her rate of change in elevation greater?

Rate of change in elevation :

Change in elevation / time

Portion 1:

Rate of change in elevation :

Change in elevation / time

- 190 ft / 10 minutes = - 19 ft/minutes

Portion 2:

Rate of change in elevation :

Change in elevation / time

- 200 ft / 20 minutes = - 10 ft/minutes

Her rate was faster in the FIRST because her rate was 19 ft/ minutes in the FIRST PART and 10ft/minute in the SECOND part

if each side of the cube shown above has the same length as the measured side what is the approximate volume of the cube

Answers

Answer:

The measured side is not shown, so i will answer in a general way.

A cube is a 3-dimensional object with 6 square faces.

You know that all the sides of a square have the same length, then is the same for the cube.

To calculate the volume of a cube, we start with the area of the base.

The base is a square of sidelength L (Suppose that L is the length of the measured side)

The area of the base is:

A = L^2.

To find the volume, we must multiply the area of the base by the height of the fire (because the section of the base does not change).

And the height of the cube is also L.

Then the volume is:

V = L*a = L^3

(PLEASE ANSWER ILL GIVE YOU 20 POINTS) Determine if the relation is a function. If the relation is a function, find the domain and range.Required to answer. Single choice.

Answers

Answers:

The relation is a function

Domain = {-2, -1, 0, 1, 2}

Range = {-2, 0, 2}

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

Explanation:

The blue points shown are

(-2,-2)

(-1,0)

(0,2)

(1,0)

(2,-2)

Note how the x values do not repeat themselves. Visually this graph passes the vertical line test. It is impossible to draw a single straight vertical line through more than one blue point at a time. It tells us that any x input leads to exactly one y output.

The relation is a function

The domain is the set of x coordinates of the points

Domain = {-2, -1, 0, 1, 2}

The range is the set of y coordinates of each point

Range = {-2, 0, 2}

Toss out any duplicate items that may occur in the range.

Answer:

The relation is a function.

The domains are 2, 1, 0, -1, -2.

The ranges are -2, 0, 2, 0, -2

Two groups of hikers take two different routes from Camp A to Camp B. The first group leaves Camp A at 9:00 AM and takes a route that is 30 miles longer than the second group's route. The second group leaves Camp A at 1:00 PM. Their hiking speed is 2 mph slower than the first group's speed. Both groups reach Camp B at 4:00 PM. How fast does each group hike?

Answers

Answer: first groups hiking was 6mph, second groups was 4mph.

Step-by-step explanation:

Speed of first group = 6 mph

Speed of second group = 4 mph

We are told that first group leaves Camp A at 9:00 AM.

If the normal distance between camp A and camp B is x, then the total distance this first group covers will be;

(x + 30) miles

This first group reached camp B at 4pm. This is 7 hours from when they left camp A.

Thus, their speed is;

v1 = (x + 30)/7 mph

We are told that;

Second group left by 1pm and got to camp B by 4pm. This is 3 hours.

We are also told that their speed was 2mph slower than the first group.

Thus;

v2 = ((x + 30)/7) - 2 mph

Since normal distance from camp A to camp B is x. Then this second group will have;

x = ((x + 30)/7) - 2) × 3

Since;

distance = speed × time

Divide both sides by 3 to get;

x/3 = ((x + 30)/7) - 2)

Multiply through by 21 to get;

7x = 3(x + 30) - 42

7x = 3x + 90 - 42

7x - 3x = 48

4x = 48

x = 48/4

x = 12 miles

Thus, putting 12 for x in V1 equation gives;

v1 = (12 + 30)/7

v1 = 42/7

v1 = 6 mph

Similarly;

v2 = ((12 + 30)/7) - 2

v2 = (42/7) - 2

v2 = 6 - 2

v2 = 4 mph

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((h – k)(3)
Please answer quickly!!!!

Answers

Answer:

[tex](h – k)(3) = h3 - k3[/tex]

What is the equation olf the line that is parallel to the gven line and has an x-intercept of 3? Oy-x+3 Oy-x+2 Oy=-x+3 Oy=-x+2​

Answers

Answer:

It’s D

Step-by-step explanation:

The equation of the parallel line is y = x - 3, the correct option is C.

What is y-intercept of a function?

The intersection of the graph of the function with the y-axis gives y-intercept of that function. The y-intercept is the value of y on the y-axis at which the considered function intersects it.

Assume that we've got: y = f(x)

At y-axis, we've got x = 0, so putting it will give us the y-intercept.

Thus, y-intercept of y = f(x) is y = f(0)

We are given that;

x-intercept = 3

Now,

we can find the equation of the line parallel to the given line and passing through the point (3, 0):

The given line has an equation of y = x + 3. This is already in slope-intercept form, so we can see that the slope is 1. The parallel line will have the same slope of 1.

The point that the parallel line passes through is (3, 0). We can use this point and the slope to write the equation of the parallel line in point-slope form:

y - 0 = 1(x - 3)

y = x - 3

Therefore, the slope intercept will be y=x-3

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All of the following are rational numbers: .5, 7, V16
O True
O False

Answers

Answer:

Your answer is: A) True

( I say true because 1) .5 2) 7 are rational) ( I dont know about v16, if that is what it is supposed to say, then I cant quite tell)

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Step-by-step explanation:

Hope this helped : )

Plot the image of point Q under the translation (x, y) + (x - 3, y + 4).​

Answers

Answer:

( 2, -1 )

Step-by-step explanation:

The image of the assumed point Q(2, 3)) under the translation is Q'(-1, 7).

What is Translation?

Translation is a type of transformation of geometrical figures. After translation, the original figure is shifted from a place to another place without affecting it's size.

Translation of a point (x, y) indicates that the point is moved x units along the X axis and y units along the Y axis,

Here we have to translate the point Q(2, 3).

Point (x, y) is translated as (x - 3, y + 4).

That is the point (x, y) moves 3 units to the left along the X axis and 4 units upwards along the Y axis.

Q(2, 3) after the translation becomes,

Q'(2 - 3, 3 + 4) = Q'(-1, 7)

Hence the point Q(2, 3) under the translation (x - 3, y + 4) is the point Q'(-1, 7).

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Which of the following equations have the same solution as 3x-5=5x×11

Answers

Answer:

-5=2x+11

Step-by-step explanation:

Y

What is .85 as a percent

Answers

Answer:

85%

Step-by-step explanation:

Move the zeros two places

y = 9 - 1
What is this ?

Answers

y=8

your teacher is introducing algebra

Please help me right away and you will get 12 points I need it done today so plz help me

Answers

Answer:

all u have to do is add up the denominator and numerators together because just because u see something as an add problem it's still more stuff to add 6+8=14 7+5=12 add up 14+12=26+blank=what

Step-by-step explanation:

hopefully this helped

Camelia misses 8 points on the first math test. She misses 5 points on the second math test. What integer represents the number of points Camelia misses on the first two test?

Answers

It’s the Equator so you divide it by 2

If f (x) = one-ninth x minus 2, what is f>1(x)

Answers

Answer: f-1(x) = 9x + 18.

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y =  x - 2 ( add 2 to both sides )

y + 2 =  x

Multiply through by 9 to clear the fraction

9y + 18 = x

Change y back into terms of x

(x) = 9x + 18

Answer:

Answer: f-1(x) = 9x + 18.

Step-by-step explanation:

Solve
(6x + 5) - (x + 3)

Answers

Answer:

5x+2

Step-by-step explanation:

6x-x=5x and 5-3=2

so 5x+2 is the answer.

Does anyone know how to solve this 5x(x+4)^2-2y^5 x=-3 and y=-2

Answers

It’s 49.
5(-3)(-3+4)^2 -2(-2^5)
5(-3)x 1^2 +2^6
5(-3) x 1 +64
-15+64
=49

Answer:

49

Step-by-step explanation:

PLEASE HELP ASAP!! 50 POINTS!!
The following table shows how far a bus has gone in t hours. Which of the following equations represents this information?

A. d = 50t + 22
B. d = 61t
C. t = 61d
D. t = 50d + 22

Answers

Answer:C

Step-by-step explanation:

Answer:

t=61 d

Step-by-step explanation:

c is your answer

a=4, b=2 and c=-3
who wanna tell me the answer lol my Photomath won’t tell me

Answers

Answer:

-23

Step-by-step explanation:

Answer:

-23

Step-by-step explanation:

Just plug in the values of the variables into the expression. You'll get -4(10)/2 - 3. That equals -20 - 3, or -23.

find the values of a and b​

Answers

Answer:

Im not sure about a but, b= 38

Step-by-step explanation

b: 90 - 52 = 38

*90 because it is a right angle

Can I have help with an algebraic equation?

Answers

Answer:

What is the equation?

Step-by-step explanation:

Answer:

Step-by-step explanation: what is the probelm i can help.

Mr. Lin received a box of books in the shape of a rectangular prism. The volume of the box is 486 in 3. What is the width of the

box?

18 in.

Use the formula W=Th, where l is the length of the prism, h is the height, V is the volume, and w is the width.

6 inches

9 inches

27 inches

81 inches

Mark this and return

Save and Evi

Answers

Answer:

W = 9 inches.

Step-by-step explanation:

The volume of a rectangular prism is given by

[tex]V=whl[/tex]

Where

w,h and l re width, height and length of rectangular prism

It is not mentioned that a box has a length of 18 inches and a height of 3 inches.

Using above formula.

[tex]486=w\times 18\times 3\\\\486=54w\\\\w=9\ \text{inches}[/tex]

So, the width of the box is 9 inches.

What is the equation of the line that passes through the point (5,1) and has a slope
of 6/5?

Answers

Answer:

y-1 = 6/5(x-5) Point slope form

y-1=6/5x - 6

y-1 +1=6/5x -6+1

y = 6/5x - 5 Slope intercept form

y -6/5x + 5 = 6/5x-5 -6/5x+5

y-6/5x+5=0 General Form

PLEASE SOLVE QUICKLY I WILL MAKE YOU BRAINLIEST!!!
solve for both X and Y, please do it fast it's due soon!!! thankyou!!​

Answers

Answer:

x=25°, y=18°

Step-by-step explanation:

Solved! Here is the explanation. As we have supplementary angles, we have a total of 180° of angles. Angle BXD is a right angle, so 2x+40°=90°. 2x=50°, and then we have x=25°. Now, to figure out y, we have to look at angle BXA. In this case, 5y=90°. y=18°. So, x=25° and y=18°. Hope this explanation helps!

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