For what values of k will the function f(x) = 9x² + 4x + k have 1 real roots.

Answer:

7/16 is greater than the fraction represented by the model.

Step-by-step explanation:

The fraction represented by the model is 1/4. 7/16 is greater than 1/4 because it has a greater numerator and a smaller denominator.

Answer:

1/4 because the question is disinigrating 1/4 of my brain cells, because we can’t see the model…

Step-by-step explanation:

Answer:

option c, x = 3

Step-by-step explanation:

Given:

Since both equal f(x) they must be equivalent as well,

[tex]3^{x} = 27\\[/tex]

Apply exponent rule, 3 x 3 x 3 = 27

hence x = 3

Using limits, a graph that goes to positive infinity when [tex]x = -\infty[/tex] and [tex]x  = \infty[/tex] would have the same end behavior as the function [tex]f(x) = x^4 + x^3 - x^2 - x[/tex].

It is given by it's limits as x goes to negative and positive infinity.

In this problem, the function is:

[tex]f(x) = x^4 + x^3 - x^2 - x[/tex]

The limits are:

A graph that goes to positive infinity when [tex]x = -\infty[/tex] and [tex]x  = \infty[/tex] would have the same end behavior as the function [tex]f(x) = x^4 + x^3 - x^2 - x[/tex].

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The phrases which describe the graph are;

The absolute function in the task conten is;

f(x) = |x|, Hence, the domain and range of the graph are as described above.

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Answer:

2

Step-by-step explanation:

3 x 2 = 6

1 x 2 = 2

hope it helps

sorry if I'm wrong

Answer:

5.6 x [tex]10^{3}[/tex]

Step-by-step explanation:

5600 is 5.6x10^3 in scientific notation.

5.6 x [tex]10^{3}[/tex]

Answer:

D. 5.6 × 10³ L

Edge

Using circle theorem, If MN has a length of π cm, the length of LM is   π√3 cm

ΔMON = equilateral triangle.

Equilateral triangle has all its sides and angle equal to each other.

Therefore,

MN = π

Hence,

ON = MN = OM = π

ON = radius of the circle

Therefore,

LN = π+ π = 2π

Using circle theorem,

∠LMN = 90 degrees

Therefore, using Pythagoras theorem,

LM² = (2π)²- π²

LM² = 4π² - π²

LM = √3π²

LM = π√3 cm

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Answer:

71,788

Step-by-step explanation:

     7 1 5 2 6

+         2 6 2

____________

     7 1 7 8 8

Answer:Answer

Step-by-step explanation:

For the first part, divide 46.54 by 5.2

46.54/5.2=8.95

$8.95 per pound

For the second part if he buys half as much, its half of 5.2 plus 5.2. Now use similar steps that I used in the first part to solve for your problem.

I got $97.50, but i am not 100% sure if it is correct, so try give it a try.

The sample size needed to provide a margin of error of 2 or less with a .95 probability when the population standard deviation equals 11 is 116.

Given margin of error of 2,probability of 0.95 and standard deviation is 11.

We have to calculate the sample size needed to provide a margin of error of 2 or less with a 0.95 probability when the population standard deviation of 11.

We know that the margin of error is the difference between the calculated values and actual values.

Margin of error=z*σ/[tex]\sqrt{n}[/tex]

where z is z value ,σ is standard deviation ,n is the sample size.

First we have to calculate the z value for the corresponding p value which is given of  0.95. We assume that the test is two tailed. z value is 1.96.

Now put the value of z , σ, n and margin of error in the formula of margin of error to get the value of n which is sample size.

2>=1.96*11/[tex]\sqrt{n}[/tex]

[tex]\sqrt{n}[/tex]>=(1.96*11)/2

[tex]\sqrt{n}[/tex]>=10.78

By squaring both sides we get,

n>=116.2064

Hence the sample size which is needed to provide a margin of error of 2 or less with a 0.95 probability when the population standard deviation equals 116.

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Step-by-step explanation:

k = √(49 - 12√5)

= √(45 + 4 - 2 √180)

= √45 - √4

= 3 √5 - 2.

So, k + 2 = 3 √5 - 2 + 2 = 3 √5.

Answer:

k + 2 = 3√5

Explanation:

[tex]\sf Given: k = \sqrt{49 - 12\sqrt{5} }[/tex]

[tex]\sf \rightarrow k = \sqrt{49 - 12\sqrt{5} }[/tex]

step 1: breakdown

[tex]\sf \rightarrow k = \sqrt{4 + 45- 2 \times 2 \times 3 \sqrt{5} }[/tex]

step 2: rewrite 45 = (3√5)²

[tex]\sf \rightarrow k = \sqrt{4 + (3\sqrt{5})^2 - 2 \times 2 \times 3 \sqrt{5} }[/tex]

step 3: rearrange as per a² -2ab + b² = (a - b)²

[tex]\sf \rightarrow k = \sqrt{ (3\sqrt{5})^2 - 2 \times 3 \sqrt{5} \times 2 +2^2}[/tex]

step 4: comparing, here: a = 3√5, b = 2

[tex]\sf \rightarrow k = \sqrt{ (3\sqrt{5} -2)^2}[/tex]

step 5: simplify √a² = a

[tex]\sf \rightarrow k = 3\sqrt{5} -2[/tex]

Then find k + 2

[tex]\rightarrow \sf k = 3\sqrt{5} -2 + 2[/tex]

[tex]\rightarrow \sf k = 3\sqrt{5}[/tex]

A function that fits the following points (0,5), (2,-13) is y = 9x + 5

The equation of a line in slope-intercept form is expressed as;

y =mx +b

where;

m is the slope

b is the intercept

Given the following coordinates (0,5), (2,-13)

Slope = -13-5/2-0
Slope = -18/-2

Slope = 9

Since the y-intercept is b = 5, hence the equation of the line will be y = 9x + 5

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Answer:

  x = -5.6

Step-by-step explanation:

Using the given coordinates in the given slope formula, we have ...

  (y2 -y1)/(x2 -x1) = -8/5 . . . . . using the given slope

  (4 -x)/(3 -9) = -8/5 . . . . substituting (9, x) for (x1, y1) and (3, 4) for (x2, y2)

Multiplying by 30, we have ...

  5(x-4) = -48

  5x -20 = -48 . . . . eliminate parentheses

  5x = -28 . . . . . . . . add 20

  x = -5.6 . . . . . . . . divide by 5

__

Additional comment

In the attachment, we have written the point-slope equation of the line, then found the point on that line that has a x-coordinate of 9. We see the y-coordinate of that point is -5.6, as computed above.

If you swap the points (x1, y1) and (x2, y2), then the slope equation ends up with fewer minus signs to handle.

From (0, 0), the points A and D in the graph are at (-1, -1) and (2, -1) respectively.

Since the scale factor is 2, every point will be moved twice a distance in both directions. (x and y).

So, multiplying both coordinates by 2, we will get the dilated points.

Hence, A' will be at (2 × (-1), 2 × (-1)) = (-2, -2) and D' will be at (2 × 2, 2 × (-1)) = (4, -2).

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Answer:

x=20

Step-by-step explanation:

a) isolate the variable

K-8=12

10-4=6

The number of rice balls Justin can make with 700 grams of rice is 7.

How many rice balls can Justin make?

In order to determine the rice balls he can make, divide the grams of rice he has by the grams needed to make one rice ball. Division is the process of grouping a number into equal parts using another number.

Rice balls he can make = 700 grams / 100 grams = 7

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Answer:

7 rice balls

Step-by-step explanation:

Answer: [tex]42.6^{\circ}[/tex]

Step-by-step explanation:

Let the angle of depression be x.

[tex]\sin x=\frac{23}{34}\\\\x=\sin^{-1} \left(\frac{23}{34} \right) \approx 42.6^{\circ}[/tex]

The constant of variation based on the information is one half.

From the information given, when x is 2, y is 1, when x is 4, y is 2, etc. It should be noted that this is a direct variation.

This will be illustrated as:

y = kx

when y = 1, x = 2.

1 = 2k

Divide both side by 2.

k = 1/2

Therefore, the constant of variation is 1/2.

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The measures of the remaining side lengths of the triangle, AC and BC is 72 units and 31 units respectively.

B = 180 - (25 + 55)

B = 100⁰

sin (B)/AC = sin (C)/AB

sin (100)/AC = sin (55)/60

sin (100)/AC = 0.01365

AC = sin (100) / (0.01365)

AC = 72 units

sin (A)/BC = sin (C)/AB

sin (25)/BC = sin (55)/60

sin (25)/BC = 0.01365

BC = sin (25) / (0.01365)

BC = 31 units

Thus, the measures of the remaining side lengths of the triangle, AC and BC is 72 units and 31 units respectively.

The complete question is below:

In triangle ABC angle A= 25, angle C= 55 and length AB = 60 . What are the approximate measures of the remaining side lengths of the triangle?

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Answer: A

Step-by-step explanation: edge2023

If Jason has bought a new pool and has already measured some of the sides. x is 16 and y is 6.

Solving for x using Pythagoreans theorem

5² + x² = 17²

x² = 289- 25

x = √264

x = 16

Since the shape is a parallelogram shape. Hence:

x = y

y = 16

Therefore If Jason has bought a new pool and has already measured some of the sides. x is 16 and y is 6.

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Answer:

you should download AIR MATH

The way that this linear function compares to y+11 is that It has the same slope and the same y-intercept.

This is the type of function that would produce a line when it is graphed out.

When we write out the equations in 1 and 2 we would see that they are basically the same type of equation. A linear equation is made up of the slope and the intercept.

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Answer:

A) It has the same slope and the same y-intercept.

Step-by-step explanation:

I really hope this helps.

Answer:

a ≈ 8.82

Step-by-step explanation:

using the cosine ratio in the right triangle

cos54° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{a}{15}[/tex] ( multiply both sides by 15 )

15 × cos54° = a , then

a ≈8.82 ( to the nearest hundredth )

Answer:

the median of th given data is 243

Answer:

[tex]x=14[/tex]

Step-by-step explanation:

1) Since we know two of the sides of that right-angled triangle, we can use the Pythagorean Theorem to find x. His theorem is: [tex]c^2 = a^2 + b^2[/tex].

Substitute the values into the formula above.

Let x = c

[tex]c^2 = 8^2 + 11.5^2\\c^2 = 196.25\\c= \sqrt{196.25}\\c=14[/tex]

Here is the completed table:

Hours       Weeks

168              1

1008             6

840               5

The mathematical operation that would be used to determine the missing values are division and multiplication. In order to convert hours to weeks, divide by 168 hours. To convert weeks to hours, multiply by 168.

1008 hours to weeks = 1008 / 168 = 6 weeks

5 weeks to hours = 5 x 168 = 840 hours

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Answer:

x = -7/2 and y = -11/2

Step-by-step explanation:

These equations are known as slope-intercept equations.

Slope-intercept equation are a type of linear equation.

The slope-intercept format is: y = mx + b

Because there are two equations, this would be a system of equations.

So, to figure this out, we need to use the substitution method.

_____________________________________________

Problem:

Solve y=x−2;y=3x+5

Solution:
Step: Solve y=x−2 for y:

Step: Substitute x-2 for y in y = 3x + 5:

y = 3x + 5

x - 2 = 3x + 5

x−2+−3x=3x+5+−3x(Add -3x to both sides)

−2x−2=5

−2x−2+2=5+2(Add 2 to both sides)

−2x=7

-2x/-2 = 7/-2 (Divide both sides by -2)

x = -7/2

Step: Substitute -7/2 for x in y = x - 2:

y = x - 2

y = -7/2 - 2

y = -11/2(Simplify both sides of the equation)

Answer:

x = -7/2 and y = -11/2