What is bigger or are they the same?
1/4 or 0.4

The discriminant is greater than zero, the equation has 2 solutions

Given the quadratic expression as shown:

-x^4 + 4x + 1 + 3 = 0

x^4 - 4x - 4 = 0

The discriminant is given as b^2 - 4ac

where;

a = 1

b = -4

c = -4

Substitute

D =(-4)^2 - 4(1)(-4)

D = 16 + 16
D = 32

Since the discriminant is greater than zero, the equation has 2 solutions

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Answer: 2

Step-by-step explanation: got it right

Answer:

n/4 + 1 =5

n/4 = 5-1

n/4 = 4

n = 4*4

n = 16

Answer:

So do this,

Step-by-step explanation:

stand up and go ask your mom!

Answer:

Slope= -1/2 ; y-inter = 0

Step-by-step explanation:

Answer:

What is this about?

Step-by-step explanation:

What topic?

Answer:

2

Step-by-step explanation:

ez any thing else just hit me up of so

Note: Consider we need to find the solution of given equation.

Given:

The equation is

[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]

To find:

The solution of the equation.

Solution:

We have,

[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]

[tex]\dfrac{2+x^2}{2x}=\dfrac{11}{6}[/tex]

By cross multiplication, we get

[tex]6(2+x^2)=11(2x)[/tex]

[tex]12+6x^2=22x[/tex]

[tex]6x^2-22x+12=0[/tex]

[tex]2(3x^2-11x+6)=0[/tex]

Divide both sides by 2.

[tex]3x^2-11x+6=0[/tex]

Splitting the middle term, we get

[tex]3x^2-9x-2x+6=0[/tex]

[tex]3x(x-3)-2(x-3)=0[/tex]

[tex](x-3)(3x-2)=0[/tex]

Using zero product property, we get

[tex]x-3=0[/tex] and [tex]3x-2=0[/tex]

[tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex]

Therefore, the solutions of the given equation are [tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex].

Quadratic equations are algebraic equations that can be factored or broken down into simpler forms(factors).

Transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0

We are given the algebraic equation:  1/x+x/2=11/6

Transforming it into a quadratic equation, we find the Lowest common denominator of the fractions in the quadratic equations.

LCD(x,2,6) = 6x

Multiply all through the fractions by 6x

(1/x * 6x)+ (x/2 * 6x) = (11/6 * 6x)

6 + 3x² = 11x

Rewriting the equation:

3x² - 11x + 6 = 0

Therefore, transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0

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Answer:

X=-3

Step-by-step explanation:

2x+15=-3x

15=-5x

x=15/-5

x=-3

Answer:

x = -3

Step-by-step explanation:

2x + 15 = -3x

15 = -5x

x = -3

Answer: The ration for 27:71, would be 3/8. Hope this helps!

Answer:

I think 2hours

Step-by-step explanation:

but I'm not sure

Answer: Focus, Vertex, Axis, and Directrix.

Step-by-step explanation:

Answer:

123

Step-by-step explanation:

3 + (16 - 1)8

3 + (15)8

3 + 120

123

Step-by-step explanation:

4x^2+2x-5

4(-1)^2+2(-1)-5

4-2-5

2-5= -3

Answer:

76 words per minute.

Step-by-step explanation:

49 min = 3724 words

1 min = ?

3724/49 = 76

1 min = 76 words

Hope this helps!!

Answer:

300g

Step-by-step explanation:

Given parameters:

Mass of carbohydrate in the cereal meal  = 18g

Unknown:

Grams of carbohydrate recommended each day = ?

Solution:

The 18grams of the carbohydrate is just 6% of the total carbohydrate need per day;

         6% x total carbohydrate recommendation  = 18

       [tex]\frac{6}{100}[/tex] x total carbohydrate  = 18

       Total carbohydrate = 18 x [tex]\frac{100}{6}[/tex]   = 300g

Answer:

The answer is 300 grams of carbs on a 2000-calorie diet!

Step-by-step explanation:

Mass = 18g

daily allowance: ???

6% x total carbohydrate recommendation  = 18

x total carbohydrate  = 18

Total carbohydrate = 18 x    = 300g on a 2000-calorie diet

Answer:

A right triangle and an isosceles

Step-by-step explanation:

Answer:

Distribute the 5 to get 10a-15=20+a and solve

Answer:

150

Step-by-step explanation:

x/5=30

x=30*5

x=150

Hoped this helped!

Step-by-step explanation:

x/5 = 30

5 × x/5 = 5 × 30

x = 5 × 30

x = 150

Answer:

if you divided 200 by 5.50 the answer will be 36.3636363636

Answer:

11118 people voted

Step-by-step explanation:

Given

[tex]Eligible\ Voters = 21800[/tex]

[tex]Registered\ Voters = 85\%[/tex]

[tex]Voted\ Voters = 60\%[/tex]

Required

Determine the number of voters

First, we need to determine the number of registered voters.

[tex]Number = \%Registered\ Voters * Eligible\ Voters[/tex]

[tex]Number = 85\% * 21800[/tex]

[tex]Number = 18530[/tex]

Next, we determine the actual voters using

[tex]Voters = \%Voters * 18530[/tex]

[tex]Voters = 60\% * 18530[/tex]

[tex]Voters = 11118[/tex]

Hence, 11118 people voted

Answer:

Amelie drove 3/4 mile.She then drove another 8/9 mile. How many miles did she drive in all?

Step-by-step explanation:

Answer:

A.Reject Upper H0 because the​ P-value is less than or equal to to α.

B.There is sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 51​%.

Step-by-step explanation:

Given the claim :

Less than 51% will erase their personal information :

We take this as the null ;

H0 < 0.51 ;

Alternative hypothesis which is the opposite of the Null

H1 > 0.51

P value = 0.0148

α = 0.05

At α = 0.05 ; if p value is less than α ; reject the the Null

If p value is greater than Null ; then we fail to reject the Null

Pvalue < α

The P value is less than 0.05; then we reject the Null

B.) There is significance evidence to support the Alternative hypothesis claim, that the percentage of adult that would erase all their personal information online if they could is more Than 51%

Answer:

The correct option is C) 12.00%.

Step-by-step explanation:

This can be calculated using the formula for calculating the effective annual rate (EAR) as follows:

EAR = ((1 + (i / n))^n) - 1 .............................(1)

Where;

EAR = effective annual rate =  12.682%, or 0.12682

i = annual percentage rate (APR) = ?

n = Number of compounding periods or months = 12

Substituting the values into equation (1) and solve for i, we have:

0.12682 = ((1 + (i / 12))^12) - 1

0.12682 + 1 = (1 + (i / 12))^12

1.12682 = (1 + (i / 12))^12

(1.12682)^(1/12) = (1 + (i / 12))^(12/12)

1.12682^0.0833333333333333 = 1 + (i / 12)

1.00999962428035 - 1 = i / 12

0.00999962428035 = i / 12

i = 0.00999962428035 * 12

i = 0.119995491364199, or 11.9995491364199%

Approximating to 2 decimal places, we have:

i = 12.00%

Therefore, the correct option is C) 12.00%.

Answer:

x = 51/4 or x = 12.75

Step-by-step explanation:

(2x - 1)2 = 49

4x - 2 = 49

4x = 49 + 2

4x = 51

x = 51/4 or x = 12.75

Hope you are able to understand it!

Answer:

7 weeks

Step-by-step explanation:

49 divided by 7 is 7

Answer:

i believe its C

Step-by-step explanation:

Answer:

52 degree angle

Answer: 5

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Bc if you multiply every side by 3 you get the answer choices in answer A.

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Side lengths form a triangle that is similar to triangle ABC are 30, 21, 45 and this can be determined by using the given data.

Given :

The following steps can be used in order to determine the side lengths form a triangle that is similar to triangle ABC:

Step 1 - First determine the ratio of the length of AB and AC.

[tex]\rm \dfrac{AB }{AC} = \dfrac{10}{15}[/tex]    --- (1)

Step 2 - Now, determine the ratio of the length of AC and BC.

[tex]\rm \dfrac{AC }{BC} = \dfrac{15}{7}[/tex]  --- (2)

Step 3 - Determine the ratio of the length of BC and AB.

[tex]\rm \dfrac{AB }{BC} = \dfrac{10}{7}[/tex]   --- (3)

Step 4 - Now, check the ratio of the side lengths given in option A).

[tex]\dfrac{30}{21}=\dfrac{10}{7}[/tex]           (Similar to expression 3)

[tex]\dfrac{45}{21}=\dfrac{15}{7}[/tex]           (Similar to expression 2)

[tex]\dfrac{30}{45}=\dfrac{10}{15}[/tex]           (Similar to expression 1)

Therefore, the correct option is A).

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Answer:

you just see whats on the side and write it down so its 16-20

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Cause the graphs show false instead of being true