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Answer:

7, 15

Step-by-step explanation:

hope it can help you

Step-by-step explanation:

14/2 =7 so

(x+7)^2 + [  ]

if you were to multiply just the (x+7)^2 term it would look like x^2 +14x+49, but we need that final term to be equal to 64, so you can add 15 on to the end to make up for the gap.

This should get you

f(x) = (x+7)^2 + 15

Answer:

The equation of the line is [tex]y = -\frac{3x}{4} - 2[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Perpendicular lines:

When two lines are perpendicular, the multiplication of their slopes is -1.

Perpendicular to the line 4x-3y=18

First, we place this line into the format, to find the slope:

[tex]4x - 3y = 18[/tex]

[tex]3y = 4x - 18[/tex]

[tex]y = \frac{4x}{3} - 6[/tex]

This line has slope 4/3. So, for the perpendicular line, the slope will be of m as such:

[tex]\frac{4m}{3} = -1[/tex]

[tex]4m = -3[/tex]

[tex]m = -\frac{3}{4}[/tex]

So the desired line will have an equation in the following format:

[tex]y = -\frac{3x}{4} + b[/tex]

Passes through the point (8,-8)

We use this to find b. This point means that when [tex]x = 8, y = -8[/tex]. So

[tex]y = -\frac{3x}{4} + b[/tex]

[tex]-8 = -\frac{3*8}{4} + b[/tex]

[tex]-8 = -6 + b[/tex]

[tex]b = -2[/tex]

So

[tex]y = -\frac{3x}{4} - 2[/tex]

Answer:

Perimeter: 60

Area: 116

Answer:

master card

Step-by-step explanation:

Cause master card would charge me low interest from the rest of the cards.

So ,to save money I would choose master card

Answer:

Area=200.96.

Step-by-step explanation:

A=3.14×8^2.

A=3.14×64.

A=200.96 or A=201.

Answer:

[tex]f'(n) = n + 3[/tex]

Step-by-step explanation:

Given

[tex]f(n) = n - 3[/tex]

Required

The inverse

[tex]f(n) = n - 3[/tex]

Replace f(n) with y

[tex]y = n - 3[/tex]

Swap positions of y and n

[tex]n = y - 3[/tex]

Make y the subject

[tex]y = n + 3[/tex]

Replace y with f'(n)

[tex]f'(n) = n + 3[/tex]

Answer:

a) The sample proportion is of 0.6.

b) The 95% confidence interval for the proportion of potential customers who prefer your product is (0.4642, 0.7358).

c) A sample size of 145 is needed.

Step-by-step explanation:

(a) Find the sample proportion.

30 out of 50. So

[tex]\pi = \frac{30}{50} = 0.6[/tex]

The sample proportion is of 0.6.

(b) Find the 95% confidence interval for the proportion of potential customers who prefer your product.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

[tex]n = 50, \pi = 0.6[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6*0.4}{50}} = 0.4642[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6*0.4}{50}} = 0.7358[/tex]

The 95% confidence interval for the proportion of potential customers who prefer your product is (0.4642, 0.7358).

(c) If you want the 95% maximum likely error to be 0.08 or less, what would you choose for a sample size

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

We need a sample size of n, and n is found when M = 0.08. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.08 = 1.96\sqrt{\frac{0.6*0.4}{n}}[/tex]

[tex]0.08\sqrt{n} = 1.96*sqrt{0.6*0.4}[/tex]

[tex]\sqrt{n} = \frac{1.96*sqrt{0.6*0.4}}{0.08}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*sqrt{0.6*0.4}}{0.08})^2[/tex]

[tex]n = 144.1[/tex]

Rounding up

A sample size of 145 is needed.

Hi there!

[tex]\large\boxed{\text{None.}}[/tex]

Using the discriminant formula, we can determine if this equation is ever true:

b² - 4ac

Plug in the a, b, and c values from the equation:

(4)² - 4(1)(5)

16 - 20 = -4 < 0

Since the discriminant is less than 0, there are no zeros to the equation. Thus, the equation is never true.

140°+h=180°

h=180°-140°

h=40°

edmentum answer and yea you're welcome

It should be noted that the quadrilateral is a trapezoid.

A trapezoid is a quadrilateral with at least one pair of parallel sides. In a trapezoid, the parallel sides are called the bases, and the non-parallel sides are called the legs. The distance between the bases is known as the height or altitude of the trapezoid.

A trapezoid has two bases, which are parallel to each other. These bases can have different lengths or the same length, depending on the type of trapezoid.

The legs of a trapezoid are the non-parallel sides. They connect the bases and can have different lengths.

A trapezoid has four angles. The angles formed by the bases and legs are called the base angles, while the angles formed by the legs and non-adjacent side are called the diagonal angles.

Learn more about trapezoid

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Answer:

x = 5

Common denominator of 3/x+1 to 1/2

If the numerator is 3 times, then so is the denominator in a proportion.

3/1=x+1/2

x+1 must equal 6 for the proportion to be equal to 1/2.

6-1=5, so x is 5.

Answer:

200.5 ft

Step-by-step explanation:

You get the area of the wall: 18*12.5=225

You get the area of the door: 7*3.5=24.5

Finally, you subtract the area of the wall from the area of the door and get: 200.5 as your final answer.

Hope this helped!!

i believe its 24.5 i hope ths was right

9514 1404 393

Answer:

  69.6°

Step-by-step explanation:

The sum of angles in a triangle is 180°, so angle X is ...

  ∠X = 180° -∠Y -∠Z

  ∠X = 180° -68.4° -42°

  ∠X = 69.6°

Answer:

The correct answer is 2x^6y^2

Step-by-step explanation:

I got it right. Hope this helps.

An expression is defined as a set of numbers, variables, and mathematical operations. The solution of the given expression (12x⁹y⁴)/(6x³y²) is 2x⁶y².

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression (12x⁹y⁴)/(6x³y²) can be solved as,

(12x⁹y⁴)/(6x³y²)

= (12/6) x⁽⁹⁻³⁾ y⁽⁴⁻²⁾

= 2x⁶y²

Hence, the solution of the given expression (12x⁹y⁴)/(6x³y²) is 2x⁶y².

Learn more about Expression:

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Answer:

14

Step-by-step explanation:

When one encounters a problem like this all one must do is divide the number to the left (84) by the number on the right (6) then to double check divide the outcome by the number on the left or multiply the outcome by the one on the right.

Feel free to check the equations below:

84 divided by 6 = 14

84 divided by 14 = 6

14 times 6 = 84

84 ÷ 14 = 6

[tex]Your[/tex] [tex]answer[/tex] [tex]would[/tex] [tex]be.[/tex]

[tex]3/4[/tex] [tex]to[/tex] [tex]the[/tex] [tex]second[/tex] [tex]power[/tex] [tex]is[/tex] [tex]9/16[/tex] [tex]or[/tex] [tex]0.5625[/tex]

[tex]- Yaoii[/tex]

Answer:

B

Step-by-step explanation:

I took the test but all you need to do is find the intersecting point with your axis to get your possible answers.

Hope this helps <3

Answer:

21:27 and 14:18

Step-by-step explanation:

We can solve this by using common factors

one of the common factors of 54 and 42 is 3

42/3=14

54/3=18

so one of the ratios is 14:18

another common factor is 2

42/2=21

54/2=27

so another ratio is 21:27

Answer:

4 inches

Step-by-step explanation:

There are six people total (derek+5 friends)

2 feet = 24 inches

24 inches divided by the 6 people = 4 inches per person

Answer:

3

Answer:

Step-by-step explanation:

3x² - 22x + 34 = -1

I wouldn't factor it at all. The Quadratic Formula always works, and there 's no guessing.

Quadratic formula

x = [22 ± √(22² – 4·3·35)] / [2·3]

 = [22 ± √64] / 6

 = [22 ± 8] /6

 = 7/3, 5

Answer:

Step-by-step explanation:

"function q has zeros of -3 and 8"

q(x) = a(x+3)(x-8)

"q passes through the y-axis at the point (0,12)"

a(0+3)(0-8) = 12

a = -½

q(x) = -½(x+3)(x-8) = -½x² + 2.5x + 12

q'(x) = -x+2.5

-x+2.5 = -1.5

x = 4

rate of change is -1.5 at the point (4,14).

Answer:

Equation to find radius = Diameter divided by 2

Area is 1319.585

Step-by-step explanation:

Diameter = 41 cm

Radius = 41÷2 = 20.5cm

Area = πr^2

Area = 3.14×(20.5)^2

Area = 3.14×420.25

Area = 1319.585cm^2

Answer:

12 | 52 | 64  |

27 | 59 | 86  |

39 | 111 | 150 |

I attempted making a chart with the answers

Answer:

can u tell of which shape these sides are ??

Answer:

55.8% close to 56% :)

Step-by-step explanation:

Answer:

I think it's 55.88%

Step-by-step explanation:

Answer:

k

Step-by-step explanation:

k

9514 1404 393

Answer:

   (12, 4)

Step-by-step explanation:

The point (12, 4) is the only one in the doubly-shaded area of the graph. Of the choices offered, it is the only one that is a solution.

__

I prefer to use a graphing calculator to draw the graph and plot the points. That is more interesting to me than evaluating the inequalities over and over.

Here, we find the first inequality is only satisfied by the first point. We can rewrite it so we're not messing with fractions.

  y ≥ -5/6x +2

  6y ≥ -5x +12 . . . . multiply by 6

  5x +6y ≥ 12 . . . . . add 5x

Now, to check the points:

  (12, 4) -- 5(12) +6(4) ≥ 12 . . . true

  (0, -2) -- 5(0) +6(-2) ≥ 12 . . . not true

  (6, -7) -- 5(6) +6(-7) ≥ 12 . . . not true

  (-12, 7) -- 5(-12) +6(7) ≥ 12 . . . not true

Just to make sure, we can use the first point in the second inequality:

  (12, 4) -- 4 ≤ 5(12) -1 . . . true

The point (12, 4) would be a solution to the two inequalities.

Answer:

4 hours

Step-by-step explanation:

32/8=4

Answer:

4 Hours

Step-by-step explanation:

just divide 32 by 8

Answer:

Hey! Hope this helps!

Step-by-step explanation:

Have an awesome Friday <3