PLEASE ANSWER FAST!!!! NEED TO UNDERSTAND!!!

In the given graph, the x-intercepts are (2,0) and (6,0).

The axis of symmetry is the vertical line that passes through the vertex. Since the vertex is at (4,-2), the axis of symmetry is the line x = 4.

The interval on which the graph is increasing is (-∞,4), and the interval on which it is decreasing is (4,∞).

The sign of the leading coefficient is positive, since it is 1/2.

To find the equation of the quadratic function, we start by using the vertex form:

\(y = a(x - h)^2 + k\)

where (h, k) is the vertex. Plugging in the given vertex (4,-2), we get:

\(y = a(x - 4)^2 - 2\)

Next, we use the other two points to find two additional equations:

\(6 = a(8 - 4)^2 - 2 (plugging in (8,6))\\0 = a(2 - 4)^2 - 2 (plugging in (2,0))\)

Simplifying these equations, we get:

\(6 = 16a - 2\\8a = 4 -- > a = 1/2 \\0 = 4a - 2 \\4a = 2 -- > a = 1/2 \\\)

So the equation of the quadratic function is:

\(y = (1/2)(x - 4)^2 - 2\)

Now, we can answer the questions:

The y-intercept is the point where the graph intersects the y-axis. To find it, we set x = 0 in the equation:

\(y = (1/2)(0 - 4)^2 - 2 = 6\)

So the y-intercept is (0,6).

To find the x-intercepts, we set y = 0 in the equation:

\(0 = (1/2)(x - 4)^2 - 2\)

Simplifying, we get:

\((x - 4)^2 = 4\\ - 4 = \pm 2 \\= 2, 6\)

So the x-intercepts are (2,0) and (6,0).

The axis of symmetry is the vertical line that passes through the vertex. Since the vertex is at (4,-2), the axis of symmetry is the line x = 4.

The interval on which the graph is increasing is (-∞,4), and the interval on which it is decreasing is (4,∞).

The sign of the leading coefficient is positive, since it is 1/2.

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Step-by-step explanation:

there are 13 cards per 4 suits, totalling 52 cards in an entire deck

13 represents an entire 1 suit out of 52 cards

13/52 = 0.25

thus your answer is 0.25% or 1/4

Answer:

Step-by-step explanation:

The solutions for the quadratic equation:

x^2 - 8x = -3

Are:

Here we want to solve the quadratic equation:

x^2 - 8x = -3

First we can move all the terms to the left side so we get:

x^2 - 8x + 3 = 0

Using the quadratic formula (or Bhaskara's formula) we can get the solutions for x as:

\(x = \frac{8 \pm \sqrt{(-8)^2 - 4*¨1*3} }{2*1} \\\\x = \frac{8 \pm 7.2 }{2}\)

Then the two solutions for the quadratic equation are:

x = (8 + 7.2)/2 = 7.6

x = (8 - 7.2)/2 =0.4

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The truck driver would deliver 105 packages in a 7 hours day

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

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Answer:

For the first place, Rachel can put any of the 9 blocks, so we have 9 options. For the second place, there will be 8 blocks left, so 8 options in this case. For the third place there will be 7 options and so on. The number of different arrangements is

N = 9 \times 8 \times 7 \times 6 \times5 \times4 \times 3 \times 2 \times 1 = 362\,880N=9×8×7×6×5×4×3×2×1=362880

Step-by-step explanation:

Answer:

9! = 362 880

Step-by-step explanation:

9! means 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

You multiply all numbers from 9 to 1

Answer:

0.75

Step-by-step explanation:

BASTA CHAT NYU NA LNG PO AKO  DTO NEED NYU PO NG EXPLANATION

Answer:

165 degrees

Step-by-step explanation:

1 is opposite of 6

1 is 15 degree

half circle is 180 degree

you subtract 15 you got 165

1 and 5 they both will be 15 degree and 6 and 2 they both will be 165 degree

The number of students that bike to school is 18

The median is described as the middle number of a set of data when the values are arranged in an ascending order from the least to the greatest.

We should also know that the median is one of the measures of central tendency.

From the information given, we have that the data set representing the number of students is;

10, 11, 12 , 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25

Then, we have that the median number is;

Median = 17 + 18/2

add the values

Median = 35/2

Divide the values

Median = 18 students

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Answer:

y = 102*x

Step-by-step explanation:

y=a*x

x: distance

y: calories

816=a*8

a= 816/8= 102

Answer:

Step-by-step explanation:

There are no sufficient evidence using hypothesis to conclude percentage of commercial truck drivers those who suffer from sleep apnea is different from population's percentage of 5.2%.

To test the claim that the percentage of commercial truck drivers who suffer from sleep apnea is not 5.2%,

Use a hypothesis test.

Let p be the true proportion of commercial truck drivers who suffer from sleep apnea.

The null hypothesis is that the proportion of commercial truck drivers who suffer from sleep apnea is equal to 5.2%, or p = 0.052.

The alternative hypothesis is that the proportion is not equal to 5.2%, or p ≠ 0.052.

Use a z-test for the proportion to test this hypothesis.

The test statistic is,

z = (p₁ - p) / √(p(1-p) / n)

where p₁ is the sample proportion, n is the sample size, and p is the hypothesized population proportion.

In this case, we have,

p₁ = 30/397

   = 0.0756

n = 397

p = 0.052

Plugging these values into the formula, we get,

z = (0.0756 - 0.052) / √(0.052(1-0.052) / 397)

 = 2.11

The critical value for a two-tailed test at a 0.02 level of significance is ±2.33.

Since our test statistic, 2.11, is less than the critical value of 2.33, we fail to reject the null hypothesis.

Therefore, as per hypothesis we do not have sufficient evidence to conclude percentage of commercial truck drivers who suffer from sleep apnea is different from population's percentage of 5.2%.

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Answer:

B, C, D

Step-by-step explanation:

He made a mistake in each product.

-2(-8x) = 16x, not 10 x

-2(-4y) = 8y, not -8y

-2(3/4) = -1 1/2, not - 1/14

The graph of the function f(x) = 4(2/3)^x is added as an attachment

From the question, we have the following parameters that can be used in our computation:

f(x)=4⋅(

2

3

​)

x

Express the equation properly

So, we have

f(x) = 4(2/3)^x

The above expression is a an equation of a exponential function

Next, we plot the graph using a graphing tool

To plot the graph, we enter the equation in a graphing tool and attach the display

See attachment for the graph of the function

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Answer:

{y,x} = {-8,-2}

Step-by-step explanation:

Hope this helps.

Answer:

B.  -414,720 x⁷y⁶

Step-by-step explanation:

To find the 4th term of the expansion of (2x - 3y²)¹⁰, we can use the binomial theorem.

The binomial theorem states that for an expression of the form (a + b)ⁿ:

\(\displaystyle (a+b)^n=\binom{n}{0}a^{n-0}b^0+\binom{n}{1}a^{n-1}b^1+...+\binom{n}{r}a^{n-r}b^r+...+\binom{n}{n}a^{n-n}b^n\\\\\\\textsf{where }\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}\)

For the expression (2x - 3y²)¹⁰:

Therefore, each term in the expression can be calculated using:

\(\displaystyle \boxed{\binom{n}{r}(2x)^{10-r}(-3y^2)^r}\quad \textsf{where $r = 0$ is the first term.}\)

The 4th term is when r = 3. Therefore:

\(\begin{aligned}\displaystyle &\;\;\;\;\:\binom{10}{3}(2x)^{10-3}(-3y^2)^3\\\\&=\frac{10!}{3!(10-3)!}(2x)^7(-3y^2)^3\\\\&=\frac{10!}{3!\:7!}\cdot2^7x^7(-3)^3y^6\\\\&=120\cdot 128x^7 \cdot (-27)y^6\\\\&=-414720\:x^7y^6\\\\ \end{aligned}\)

So the 4th term of the given expansion is:

\(\boxed{-414720\:x^7y^6}\)

The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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Answer:

1/80 of the agency's employees have PhDs.

Step-by-step explanation:

Given that:

Total number of employees = 4000

Number of employees with bachelors degree = 1000

Fraction of employees with graduate degree = 1/4 of 1000 = 250

1/5 of the employees with graduate degrees have PhD.

Number of employees with PhDs = 1/5 of 250 = 50

Now,

Fraction of PhD employees to total employees = \(\frac{50}{4000} = \frac{1}{80}\)

Hence,

1/80 of the agency's employees have PhDs.

Answer:

24

Step-by-step explanation:

5(2) + 7(2) = 10+14 = 24

Answer:

ok dont get addicted

Step-by-step explanation:

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

The length of side AB in right angled triangle ABC  will be 48 cm.

Every triangle with one 90° angle is said to have a right angle. The triangle with a right angle is known as a right triangle because a right angle is 90 degrees.The longest side of a right angle is known as the hypotenuse, and it is opposite the right angle.

Given,

∠B= 90°, AC = 96 cm, ∠C = 30°

Now, we know, Trignometric ratio sin θ in triangle can be given by-:

sin θ = \(\frac{perpendicular}{hypotenuse}\)

From given figure,

Perpendicular= AB= ?

and Hypotenuse= AC = 96

and θ= 30°

Hence,

sin 30° =\(\frac{perpendicular}{hypotenuse}\)= \(\frac{AB}{96}\)

\(\frac{1}{2} = \frac{AB}{96}\)                                      (∵ sin 30°= 1/2)

\(AB=\frac{96}{2}\)

\(AB= 48 cm\)

Thus, AB= 48 cm

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Correct Question:ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°. Find AB = ?

The minimum number of aunts that Shamar must have based on the information provided is 10.

It is known that uncles will take a photograph in groups of 10, while aunts will take a photograph in groups of 5. Based on this, the possible number for each are:

Uncles: 10, 20, 30, 40, 50

Aunts: 5, 10, 15, 20, 25

In this case, the minimum number is the LCM or Least Common Multiple and based on the previous list, this number is 10.

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Answer:

A=$79

Step-by-step explanation:

47+B=A=47+32=79

Answer:

we need to add a²=6² to both sides of \(x^2+12x+6^2=-100+6^2\)  in order to rewrite in the form \(\left(x\:+\:a\right)^2\:=\:b\).

Step-by-step explanation:

Given the equation

\(-3x^2-36x=300\)

First of all, we need to divide both sides by -3 to simplify it

i.e.

\(\frac{-3x^2-36x}{-3}=\frac{300}{-3}\)

\(x^2+12x=-100\)

In order to rewrite in the form \(\left(x\:+\:a\right)^2\:=\:b\), we need to add a²=6² to both sides

\(x^2+12x+6^2=-100+6^2\)

so

\(\left(x+6\right)^2=-64\)

Therefore, we need to add a²=6² to both sides of \(x^2+12x+6^2=-100+6^2\)  in order to rewrite in the form \(\left(x\:+\:a\right)^2\:=\:b\).

Answer:

9: 89°

Step-by-step explanation:

Inside of a triangle is 180, so 180-39-52=89

I'm sorry I can't answer 10 for you

Answer:

$0.09 per sticker.

Step-by-step explanation:

Divide the cost by the amount.

\(\frac{2.25}{25}=0.09\)