Find the value of x.
please help me!!!!!!!!

Answer:

Consider the quadratic equation

x

2

+

4

x

+

4

=

0

, which, on the left side, is also a perfect square trinomial. Factoring to solve:

⇒

(

x

+

2

)

(

x

+

2

)

=

0

⇒

x

=

−

2

and

−

2

Two identical solutions! Recall that the solutions of a quadratic equation are the x intercepts on the corresponding quadratic function.

So, the solutions to the equation

x

2

+

5

x

+

6

=

0

, for example, will be the x intercepts on the graph of

y

=

x

2

+

5

x

+

6

.

Similarly, the solutions to the equation

x

2

+

4

x

+

4

=

0

will be the x intercepts on the graph of

y

=

x

2

+

4

x

+

4

.

Since there is really only one solution to

x

2

+

4

x

+

4

=

0

, the vertex of the function

y

=

x

2

+

4

x

+

4

lies on the x axis.

Now, think of the discriminant of a quadratic equation. If you don't have previous experience with it, don't fret.

We use the discriminant,

b

2

−

4

a

c

, to verify how many solutions, and the solution type, a quadratic equation of the form

a

x

2

+

b

x

+

c

=

0

may have without solving the equation.

When the discriminant equals less than

0

, the equation will have no solution. When the discriminant equals exactly zero, the equation will have exactly one solution. When the discriminant equals any number more than zero, there will be exactly two solutions. If the number in question that you get as a result is a perfect square in the latter case, the equation will have two rational solutions. If not, it will have two irrational solutions.

I've already shown that when you have a perfect square trinomial, you will have two identical solutions, which is equal to one solution. Hence, we can set the discriminant to

0

and solve for

c

.

Where

a

=

1

,

b

=

14

and

c

=

?

:

b

2

−

4

a

c

=

0

14

2

−

4

×

1

×

c

=

0

196

−

4

c

=

0

4

c

=

196

c

=

49

Thus, the perfect square trinomial with

a

=

1

and

b

=

14

is

x

2

+

14

x

+

49

. We can verify this by factoring.

x

2

+

14

x

+

49

=

(

x

+

7

)

(

x

+

7

)

=

(

x

+

7

)

2

Practice exercises:

Using the discriminant, determine the values of

a

,

b

,

or

c

that render the trinomials perfect squares.

a)

a

x

2

−

12

x

+

4

b)

25

x

2

+

b

x

+

64

c)

49

x

2

+

14

x

+

c

Step-by-step explanation:

The first option is correct.

You could do all the math to compare the final answers, but I looked at the part where you add. Using a standard algorithm, when going on to the next digit in the second number, you always add a 0 first. The rest of those options don't include a 0.

Explanation:

Let's say 5 people get a lunch platter. The cost would be 7*5 = 35 dollars.

Or if 3 people got the lunch platter, then it would be 7*3 = 21 dollars

In general, the cost is 7p dollars where p is a placeholder for a whole number. So that's how we end up with c = 7p

If it is one platter per person, the following will be true,

Answer:

c = 7p

Step-by-step explanation:

    This is because every time someone buys a platter, it adds $7 to the total cost

-> If two people buy a platter, it is 7 + 7, aka 7 *2

-> If three, it is 7 + 7 + 7 aka 7 * 3

    Using this pattern, we can see that the total cost will be 7 times the number of people there.

We can put this into an equation by doing:

c = 7p

Answer:

A

Step-by-step explanation:

Changing the interval should help because im pretty sure it would make the prices cheaper

I hope this is correct if not Im really sorry

Answer:

30+4x=y

or 30 + 4 times the amount of months equals the total cost

Answer:

y=4x+30

Step-by-step explanation:

Hope this helps!

if not I'm sorry.

Answer:

10388.04

Step-by-step explanation:

I used a calculator.. But nearest if its nearest cent it might be just 10388.

Olivia only has 4 blooms when she adds no fertilizer.

According to the conditions of the question, being x the ounces of fertilizer Olivia adds to the soil, and y the number of blooms each rose bush has, the relation between them.

Given

Olivia is growing roses and keeps track of how much fertilizer (in ounces) she adds to the soil and how many blooms each rose bush has.

She finds a linear relationship that can be modeled by the equation y = 1. 345x + 4.

The equation of the line is;

[tex]\rm y=1.345x+4\\\\[/tex]

It's bee required to compute the value of x such that the roses have 4 blooms, thus

[tex]\rm 1.345x+4=4\\\\ 1.345x=4-4\\\\1.345x=0\\\\ x=0[/tex]

Hence, Olivia only has 4 blooms when she adds no fertilizer.

To know more about the equation of line click the link given below.

https://brainly.com/question/11597999

The degree measure of the arc is the central angle of the circle

The degree measure of the arc is 90 degrees

The area (a) of the sector is 36π and the area (A) of the circle is 144π.

The area of a sector is calculated as:

[tex]a = \frac{\theta}{360} * A[/tex]

So, we have:

[tex]36\pi = \frac{\theta}{360} * 144\pi[/tex]

Divide both sides by [tex]36\pi[/tex]

[tex]1 = \frac{\theta}{360} * 4[/tex]

Evaluate the product

[tex]1 = \frac{\theta}{90}[/tex]

Solve for [tex]\theta[/tex]

[tex]\theta = 90[/tex]

Hence, the degree measure of the arc is 90 degrees

Read more about sectors and circles at:

https://brainly.com/question/16736105

Answer:

it raised by 9 so.. look below

Step-by-step explanation:

it took 5 minutes to raise 9 degrees so all you do is you do 9/5

9/5 is 1.8

It raised 1.8 degrees per minute

Answer:

i think it will be like take all of from lcm x then

takke - to opent the answer will be =-4

Answer:

C

Step-by-step explanation:

One side is 60 so the other side is 60

X=20

4(20)-20=60

60=(4(20)-20)

60=80-20

60=60

kinda got a bit dum

Answer:

3/4=6/8

Step-by-step explanation:

This is equal because 3/4 + 3/4 = 6/8. So this is your answer.

Hope this helped! :) Have a good day!!

Answer:

[tex] \frac{3}{4} = \frac{6}{8} [/tex]

Explanation:

divide the second fraction by 2 -> 6÷2/8÷2 -> 3/4

[tex]Answer:[/tex]

4999999999999999+e 313

The number is technically infinite, but since it's the largest multiple of 5, we can't make it infinite. So in this case, use the line method to represent the instance that it will go on, and on, and on.

The last number will end in 6, because any multidigit number with all 0's after the number, minus 4, is that number followed by 6 in the ones place.

Answer:

Based on the number of terms in the given polynomial, what is it called?

x² - 2

A. binomial

Answer:

25 tubs can be filled.

Step-by-step explanation:

96 goes into 2,400, 20 times so write a 2

2,400 - 1,920 from 96 x 20 = 480

96 goes into 480, 5 times so write 5

480 - 480 is 0

therefore,

the answer is 25 R 0

The new maximum height of the ball is; 78m

The time taken to hit the ground is; 6seconds

The given function is;

The time at which the height is maximum according to the graph is; t = 2.

Hence, upon substitution the value of the maximum height according to the graph of the function is;

The time taken to hit the ground according to the graph is; 6 seconds

Read more on functions and graphs;

https://brainly.com/question/1615838

Answer:

Elimination method

Step-by-step explanation:

We have a choice to eliminate the y or x:

I chose x

So now we double the second equation to make the co efficient of x the same:

6x-5y = -3

6x+4y = 24

Now we subtract both equations to eliminate the x's:

6x-5y = -3
-     -       -

6x+4y = 24

-9y = -27

y = 3

Now we substitute this value into either equation 1 or 2:
I chose 2

3x + 2(3) =12

Simplify:

3x + 6 =12

Subtract 6 from both sides:

3x + 6 -6 = 12 -6

Simplify:

3x = 6

Divide both sides by 3:

3x÷3 = 6÷3

Simplify:

x = 2

Answer:

(2, 3 ) by the elimination method

Step-by-step explanation:

6x - 5y = - 3 → (1)

3x + 2y = 12 → (2)

multiplying (2) by - 2 and adding to (1) will eliminate x

- 6x - 4y = - 24 → (3)

add (1) and (3) term by term to eliminate x

0 - 9y = - 27

- 9y = - 27 ( divide both sides by - 9 )

y = 3

substitute y = 3 into either of the 2 equations and solve for x

substituting into (2)

3x + 2(3) = 12

3x + 6 = 12 ( subtract 6 from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

solution is (2, 3 )

Answer:

6 < u < 8

Step-by-step explanation:

10 > 5u/4 > 15/2

To solve this, we need to isolate the variable u

10(4) > 5u/4(4) > 15/2(4)

40 > 5u > 30

40/5 > 5u/5 > 30/5

8 > u > 6

It probably wants you to write it in order so,

6 < u < 8

Your welcome, and if you have any questions, feel free to comment! :D

[tex]\\ \rm\hookrightarrow 10>5u/4>15/2[/tex]

[tex]\\ \rm\hookrightarrow 40>5u>30[/tex]

Divide 5

[tex]\\ \rm\hookrightarrow 8>u>6[/tex]

Answer:

5/7

Step-by-step explanation:

Hi, so the question is simplify 25/35. each fraction can be divided by five.

So each will be divided by five. So, first the numerator which is the top of the fraction. 25/5=5 so the new simplified top is 5.

The denominator, the bottom fraction, 35/5= 7, so the new simplified denominator is 7.

Refix the fraction and you have that 25/35 = 5/7

Answer:

5/7

Step-by-step explanation:

Say you got a 25 out of 35 questions right on a test you got 5/7 of them correct and get a 71.43% right.

Or think of it like 7 can go into 35 a total of 5 times and 5 can also go into 25 5 times.

Hope this helps have a great day:)

Answer:

mean = fx/n

34= fx/6

34×6 = fx

fx = 204

sum= 204

M = f/x. (M=mean ,f=sum of no. ,

x = total no.)

36 = f/6

f=36×6

please please please please please please

Answer:

The largest smallest degree of f(x) + a*g(x) is 1.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Using the z-distribution, as we are working with a proportion, it is found that since the test statistic is less than the critical value for the right-tailed test, there is not enough evidence to conclude that there has been an increase in the proportion of all kochia plants that are resistant to glyphosate.

In this problem, we consider that:

At the null hypothesis, we test if there has been no increase, that is, the subtraction is of 0.

[tex]H_0: p_2 - p_1 = 0[/tex]

At the alternative hypothesis, we test if there has been an increase, hence:

[tex]H_1: p_2 - p_1 \neq 0[/tex].

The proportions and standard errors are given by:

[tex]p_1 = 0.197, s_1 = \sqrt{\frac{0.197(0.803)}{61}} = 0.0509[/tex]

[tex]p_2 = 0.385, s_2 = \sqrt{\frac{0.385(0.615)}{52}} = 0.0675[/tex]

Hence, the distribution has mean and standard error given by:

[tex]\overline{p} = p_2 - p_1 = 0.0675 - 0.0509 = 0.0166[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0509^2 + 0.0675^2} = 0.0845[/tex]

It is given by:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

In which p = 0 is the value tested at the null hypothesis, hence:

[tex]z = \frac{0.0166}{0.0845}[/tex]

[tex]z = 0.2[/tex]

Considering a right-tailed test, as we are testing if the proportion is greater than a value, with a significance level of 0.05, the critical value is of [tex]z^{\ast} = 1.645[/tex]

Since the test statistic is less than the critical value for the right-tailed test, there is not enough evidence to conclude that there has been an increase in the proportion of all kochia plants that are resistant to glyphosate.

More can be learned about the z-distribution at https://brainly.com/question/26454209

y=5x+2

Step-by-step explanation:

your gradient/slope(m)=5

the line passes through points(0,2)

this gives us the intercept on y-axis(c)=2

therefore using the eqn;y=mx+c

y=5x+2

Answer:

Step-by-step explanation:

8. [tex]4\geq x+\frac{3}{4}[/tex]

[tex]4(4\geq x+\frac{3}{4} )[/tex]

[tex]16\geq 4x + 3[/tex]

[tex]-3[/tex]         [tex]-3[/tex]

[tex]13\geq 4x[/tex]

[tex]\frac{13}{4}\geq \frac{4x}{4}[/tex]

[tex]\frac{13}{4} \geq x = x\leq \frac{13}{4}[/tex]

[tex]x\leq \frac{13}{4}=3.25[/tex]

9. [tex]x-3\leq -8[/tex]

       [tex]+3[/tex]     [tex]+3[/tex]

[tex]x\leq -5}[/tex]

10. [tex]4\leq x-7[/tex]

  [tex]+7[/tex]         [tex]+7[/tex]

[tex]11\leq x=x\geq 11[/tex]

11. 6.9 < x - 2.3

 + 2.3      + 2.3

 9.2 < x = x > 9.2

Hope this helps!

[tex]72 = 2^{3} x 3^{2}[/tex]

(8 x 9 = 72)

The round hole in the square machine part is an inscribed circle

The equation of the circle is [tex](x - 2)^2 + (y - 2)^2 = 1[/tex]

The corner of the square machine part is said to be at the origin.

This means that, the coordinates of the machine parts are:

(x,y) = (0,0), (4,0), (4,4) and (0,4)

Calculate the midpoint of the diagonals, to determine the midpoint of the circle.

(x,y) = 0.5 * (0 + 4, 4 + 0)

This gives

(x,y) = (2,2)

The diameter of the circle is:

d = 2 inches

Divide by 2 to calculate the radius

r = 1 inch

The equation of a circle is represented as:

[tex](x - a)^2 + (y - b)^2 = r^2[/tex]

Where:

Center = (x,y) = (a,b) = (2,2)

So, we have:

[tex](x - 2)^2 + (y - 2)^2 = 1^2[/tex]

Evaluate the square of 1

[tex](x - 2)^2 + (y - 2)^2 = 1[/tex]

Hence, the equation of the circle is [tex](x - 2)^2 + (y - 2)^2 = 1[/tex]

Read more about circle equations at:

https://brainly.com/question/1559324

Answer:

Simplify 3y-y

2y

solution:2y

Step-by-step explanation:

Answer:

2y

Step-by-step explanation

you has to subtract the number by the y

Answer:

  y = -3

Step-by-step explanation:

You want the solution to the equation 5(y +2/5) = -13.

This is a 2-step equation.

Step 1, divide by 5:

  y +2/5 = -13/5

Step 2, subtract 2/5

  y = -13/5 -2/5 = -15/5

  y = -3

Answer: y = -3

Step-by-step explanation:

      [tex]\boldsymbol{\sf{Exercise\:solution \longmapsto \ 5\left(y+\dfrac{2}{5}\right)=-13 }}[/tex]

We multiply each term between kinship by 5.

            [tex]\boldsymbol{\sf{5y+5\times\dfrac{2}{5}=-13 }}[/tex]

We calculate the product of rational numbers.

             [tex]\boldsymbol{\sf{5y+2=-13 }}[/tex]

The constant moves to the right side and the sign is changed.

              [tex]\boldsymbol{\sf{5y=-13-2 }}[/tex]

We find the sum of two negative numbers.

                [tex]\boldsymbol{\sf{5y=-15 }}[/tex]

We divide both sides by the same number.

[tex]\boldsymbol{\sf{5y=-15 \ It \ changes \ y=\dfrac{-5}{5} =-3} }\\\\\ \ \ \ \ \ \ \ \boxed{\boldsymbol{\sf{y=-3 }}}\boldsymbol{\sf{ \ \longmapsto \ Answer}}[/tex]

Answer:

Correct answer (96)

Step-by-step explanation:

Answer: 240 servings

Step-by-step explanation:

If 2 cups of milk can make 10 servings, that means each cup of milk can make 5 servings.

3 gallons = 48 cups (there are 16 cups in 1 gallon)

Therefore, 3 gallons can make 48*5 servings

= 240 servings