y=x2+3x+1 has how many real roots?

Answers

Answer 1

Answer:

2

Step-by-step explanation:

we will find the discriminant of the equation

d = b^2  - 4ac (here, a = 1 , b = 3 , c = 1. from the general formula: ax^2 + bx + c)

d =  9 - 4

d = 5

since d > 0, the roots are real and different

hence, the both the roots of this equation are equal


Related Questions

Help me pls pls pls pls​

Answers

Answer:

Inequality Form:

x≥130

Step-by-step explanation:

isolate the variable by dividing each side by factors that don’t contain the variable.

The most recent census for a city indicated that there were 919,716 residents. The population of the city is expected to increase at an annual rate of 3.7 percent each year for the next 13 years. What will the population be at that time

Answers

Answer:

1,474,951.

Step-by-step explanation:

Given a population that increases by a constant percentage, we can model the population's growth using the exponential model.

[tex]P(t)=P_o(1+r)^t,$ where \left\{\begin{array}{lll}P_o=$Initial Population\\r$=Growth rate\\$t=time (in years)\end{array}\right\\P_o=919,716\\r=3.7\%=0.037\\$t=13 years[/tex]

Therefore, the population of the city in 13 years time will be:

[tex]P(t)=919,716(1+0.037)^{13}\\\\=919,716(1.037)^{13}\\\\=1,474,950.9\\\\\approx 1,474,951[/tex]

The population be at that time will be approximately 1,474,951.

11- In
how many ways 3 mathematics books, 4 history books ,3
chemisidy books and a biology books can be arranged
on an Shelf so thet all books of the same subjects are
together!​

Answers

Answer:    20,736

Step-by-step explanation:

Math and History and Chemistry and Biology and Subjects

  3!     x        4!        x          3!          x        1!          x        4!       = 20,736

Use the function below to find f(4).
f(x)=1/3x4^x


A. 8/3
B.256/3
C.64/3
D.16/3

Answers

Answer:

F(4)=1/3*4^4

F(4)=256/3

Step-by-step explanation:

4^4=256

(1/3)*(256)=

256/3

Simply replace X with 4

Answer:

F(4)=1/3*4^4

F(4)=256/3

Step-by-step explanation:

4^4=256

(1/3)*(256)=

256/3


[tex](2 + 6)(2 + 3)[/tex]

Answers

Answer:

40 because (8)(5)=40 when you add the numbers inside the parenthesis

Step-by-step explanation:

Look at my picture for the written work for ANOTHER method

To solve this problem, you use the method called FOIL.

F= multiply the FIRST terms

O= multiply the OUTTER terms

I= multiply the INNER terms

L= multiply the LAST terms

Please rate this the brainlist if this helped, thanks!

Answer:

[tex]40[/tex]

Step-by-step explanation:

[tex](2+6)(2+3)[/tex]

Solve brackets.

[tex](8)(5)[/tex]

Multiply.

[tex]=40[/tex]

What steps would you take to determine if these figures are similar? Check all that apply. Use a scale factor of 2. Multiply the vertices of polygon ABCD by One-half. Translate the intermediate image 4 units down. Perform two different dilations. Reflect the intermediate image.

Answers

Answer:

Well I took it"s Reflect the intermediate image.  and Multiply the vertices of polygon ABCD by One-half.

Step-by-step explanation:

Answer:

2 and 5 or B and E

Step-by-step explanation:

i did it on edge! ; )

Michelle, a student studying music, randomly sampled fellow music majors and asked whether they listen to music while they study. The resulting confidence interval for the proportion of music students who listen to music while studying is (0.09,0.26). What is the margin of error?

Answers

Answer:

The margin of error of this confidence interval is MOE=0.085.

Step-by-step explanation:

The confidence interval bounds are usually calculated from a sample statistic substracting (for the lower bound) or adding (for the upper bound) the margin of error. This margin of error depends on the confidence level, the standard deviation and the sample size.

Then, if the lower and upper bound are calculated this way, we can calculate the margin of error as:

[tex]LB=p-MOE\\\\UB=p+MOE\\\\UB-LB=(p+MOE)-(p-MOE)=2\cdot MOE\\\\\\MOE=\dfrac{UB-LB}{2}=\dfrac{0.26-0.09}{2}=\dfrac{0.17}{2}=0.085[/tex]

Which of the following points is NOT a solution of the inequality y ≥ Ixl + 3?

A. (-3, 0)

B. (-3, 6)

C. (0, 4)​

Answers

Hey there!

To solve this, we need to plug each of our answer options into the inequality and see if it is true. Which ever one doesn't make the inequality true when plugged in is the answer.

OPTION A

(x,y)=(-3,0)

We plug our values into the inequality.

0≥ I-3I+3

You may have noticed the bars surrounding the negative three.. If you didn't know, this is called absolute value. Absolute value is how far the number is from 0 on the number line. -7 is 7 away from 0 on a number line, so the absolute value of -7 is 7. The absolute value of 7 is 7. The absolute value of 0 is 0. Absolute value is signified by these bars. Le'ts finish evaluating.

0≥6

As you can see, zero is not greater than or equal to six. So, option A is false.

Since A is not a solution, we already know that that is the answer, so we don't even need to check B and C. But, we can still evaluate them if you want.

OPTION B

6≥I-3I+3

6≥6

This is true.

OPTION C

4≥I0I+3

4≥3

This is also true.

Therefore, the answer is A. (-3,0)

Have a wonderful day!

which expression defies the arithmetic series 10 + 7 + 4 ... for six terms?

Answers

Answer:

[tex]a_n = 10-3(n - 1)[/tex]

10 + 7 + 4 + 1 + -2 + -5

Step-by-step explanation:

Explicit Arithmetic Formula: [tex]a_n = a_1 + d(n-1)[/tex]

To find d, take the common difference between 2 numbers.

To find the other terms of the sequence, plug them into the explicit formula or subtract 3 from the given numbers.

pls help me pls pls pls​

Answers

Answer: 1x + 2y = 4

Step-by-step explanation:

The equation of the line is y = -1/2x + 2.

First, let's make 4 on one side of the equation.  First, bring x to the left.  y + 1/2x = 2.  Then multiply the whole equation by two.  Thus, 1x + 2y = 4.

Hope it helps <3

Ahmad makes compost by mixing 0.5 kg of sand with 2 kg of peat. Write the ratio of sand to peat. Give your answer in its simplest form.

Answers

Answer:

0.5kg

2kg

0.7kg

b668_*;

fxjiezncy

gcjoxfj

vxfhb

Find the missing side. Round your answer to the nearest tenth.

Answers

Answer:12.4

Step-by-step explanation:

hyp=16,opp=x

sin 51°=[tex]\frac{x}{16}[/tex]

cross multipy

sin 51° x 16 = x

x=0.7771 x 16

x≅12.4

hey one more for my friend :)

Answers

Answer:

Third graph from the top

Step-by-step explanation:

A proportional relationship is a straight line that goes through the point (0,0)

Answer:

The third graph

Step-by-step explanation:

The third straight graph, since a proportion is a relationship in which a second variable is changed by a same value all the time (linear).

Hope this helps, if not, tell me and I shall try again

PLEASE HELP SOLVE THIS!!!!!

Answers

Answer:

20) -43

21) 25

22)-9

Step-by-step explanation:

20) -6 (-6 + 49)/6 = -43

21) 10 - (-10 - (-1 + 6)) = 25

22) 1 - 10/2 - 5 = -9

Step-by-step explanation:

22

Let's calculate the expression khowing that m= 1 and n = 5

m-[tex]\frac{m+m}{2}[/tex] -nm- [tex]\frac{2m}{2}[/tex]-n m-m-n0-n0-5-5

20

Let's calculate the expression khowing that n= -7 and p= - 6

[tex]\frac{p(p+n^{2}) }{6}[/tex] [tex]\frac{-6(-6+(-7)^{2}) }{6}[/tex][tex]\frac{-6(-6+49)}{2}[/tex] [tex]\frac{-6*43}{6}[/tex] -1*43-43

21

Let's calculate the expression khowing that n = -6 and m = -1 and p = -10

mp-(p-(m-n))mp-(p-m+n)mp-p+m-n(-1)*(-10)-(-10)+(-1)-(-6)10+10-1+620-1+619+625

Plz help me plzzzzzz!!!!

Answers

Answer: D, 6

Step-by-step explanation:

Match each side from XYZ to ABC (you are trying to find the scale factor of triangle 1 to triangle 2)  into a fraction then simplify

Ex 30/5= 6 or  24/6= 6 or 18/3

It’s d)6. Because all the values in the bigger triangle is 6 times the values in the smaller one

Pls help see the picture posted

Answers

I hope this helps you

4(x+1)=16 HELP MEEEEEE

Answers

Answer:

4(x + 1) = 16

x + 1 = 4 (Divide equation by 4)

x = 3 (subtract 1)

Answer:

x = 3

Step-by-step explanation:

4(x + 1)=16

Expand the brackets.

4x + 4 = 16

Subtract 4 on both sides.

4x + 4 - 4 = 16 - 4

4x = 12

Divide both sides by 4.

4x/4 = 12/4

x = 3

Find the circumference of a circle with a radius of 15 centimeters. Round your answer to the nearest centimeter

Answers

Answer:

94 cm

Step-by-step explanation:

The formula for finding the circumference of a circle is;

Circumference = 2πr

where π = [tex]\frac{22}{7}[/tex] or 3.14 and

r = radius

Here radius is 15 cm so;

Circumference = [tex]2 * \frac{22}{7} * 15[/tex]

                         = [tex]\frac{660}{7}[/tex]cm

                         = 94.28cm

                         = 94 cm (  rounded to the nearest centimetre )

Not sure of how to solve this

Answers

Answer:

undefined

Step-by-step explanation:

Using the slope formula

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

and the given points

m = ( 8 - -1)/( 2-2)

    = (8+1) / 0

We cannot divide by 0 so the slope is undefined

Hurry!! Determine the intervals for which the function shown below is decreasing.

Answers

Answer:

everywhere except between 2 and 5

(between -inf and 2 and between 5 and inf)

Step-by-step explanation:

someone please help me!!!

Answers

Answer: Approximately 1251 square meters

Explanation:

Surface area of a cone = pi*r^2 + pi*r*sqrt(r^2+h^2)

r = radius

h = height of cone

In this case,

r = 8 is the radius

h = 41

So,

SA = surface area

SA = pi*r^2 + pi*r*sqrt(r^2+h^2)

SA = pi*8^2 + pi*8*sqrt(8^2+41^2)

SA = 1250.936884057 use a calculator for this step

SA = 1251 square meters approximately

Which of the following are exterior angles? Check all that apply.

Answers

Answer:<5 and <4 are exterior angles

Step-by-step explanation:

Because they are the only ones outside it they are the only ones that are exterior angles!

<!> Brainliest is appreciated! <!>

Answer:

for AL Its 3 and 4

If x ∥ y and y ∥ z, then _____

Answers

Answer:

  x ║ z

Step-by-step explanation:

Lines parallel to the same line are parallel to each other.

x and z are both parallel to y, so are parallel to each other:

  x ║ z

the class mean was 72 with a standard deviation of 4.2. Calculate the z-score (to 2 decimal places) for a person who received score of 59. Is it usual or unusual?

Answers

lllluvyvyvyvtctctvtvtctvtctctctctctctctvtvyvyvyvyvyvyvtvtv

WHY CAN'T ANYONE HELP ME PLEASE?? The Pool Fun Company has learned​ that, by pricing a newly released Fun Noodle at $3, sales will reach 8000 Fun Noodles per day during the summer. Raising the price to $6 will cause the sales to fall to 5000 Fun Noodles per day. a. Assume that the relationship between sales​ price, x, and number of Fun Noodles​ sold, ​ y, is linear. Write an equation in​ slope-intercept form describing this relationship. Use ordered pairs of the form​ (sales price, number​ sold).

Answers

Answer:

  y = -1000x +11000

Step-by-step explanation:

Given:

  (x, y) = (sales price, number sold) = (3, 8000), (6, 5000)

Find:

  slope-intercept equation for a line through these points

Solution:

When given two points, it often works well to start with the 2-point form of the equation for a line.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

Filling in the given points, you have ...

  y = (5000 -8000)/(6 -3)/(x -3) +8000

  y = (-3000/3)(x -3) +8000

  y = -1000x +3000 +8000 . . . . eliminate parentheses

  y = -1000x +11000 . . . . the desired equation

Find the least number which is exactly divisible by 72 and 108​

Answers

Step-by-step explanation:

2 is the answer because:

72/2=36

108/2=54

Answer:

2

Step-by-step explanation:

Well divisible means the lowest numbers it can be divided by.

So we can make a chart.

72 -  1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

108 - 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

So besides 1, 2 is the lowest divisible number between 108 and 72.

Kendra can make 120 soccer kicks in 3 minutes. Jovani can make 100 soccer kicks in 4 minutes. How long will it take them to make 1300 soccer kicks together?

Answers

The time it takes them to make 1300 soccer kicks together is 51 minutes

Let the number of soccer kicks be yLet the time taken be x

Writing this as a coordinate (x, y). If Kendra can make 120 soccer kicks in 3 minutes and Jovani can make 100 soccer kicks in 4 minutes, this can be written in a coordinate form as (3, 120) and (4, 100)

The standard linear equation is given as y = mx + b

Get the slope:

m = 100-120/4-3

m = -20/1

m = -20

Get the y-intercept:

Recall that y = mx + b

120 = -20(3) + b

120 = -60 + b

b = 180

The required equation is g(x) = -20x + 180

To determine the time it will take them to make 1300 soccer kicks together, substitute g(x) = 1300 and find "x"

1300 = -20x + 180

20x = 1200 - 180

20x = 1020

x = 51 minutes

Hence the time it takes them to make 1300 soccer kicks together is 51 minutes

Learn more on equations here: https://brainly.com/question/11408596

how to simplify -8+5w=27

Answers

Answer:

w=7

Step-by-step explanation:

1. -8+5w=27

2. add 8 to both sides: 8+-8+5w=27+8

3. Simplify: 5w=35

4. Divide both sides by 5: 5w/5=35/5

5. w=7

Hope This Helps :)

Answer:

w = 7

Step-by-step explanation:

-8 + 5w = 27

Add 8 on both sides.

-8 + 5w + 8 = 27 + 8

5w = 35

Divide both sides by 5.

5w/5 = 35/5

w = 7

how many are 5 x 5 ?​

Answers

The answer is 25 , 5 * 5 = 25

How many meters are in 18,200 milliliter

Answers

Answer:

18.2 :)

Have a great day!!!

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