Which of the following is a quadratic equation that has the roots x = 2 and x = −7? (4 points)

Answer:

Step-by-step explanation:

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$80\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases} \\\\\\ A=80\left(1+\frac{0.10}{1}\right)^{1\cdot 3}\implies A=80(1.1)^3\implies A=106.48[/tex]

Answer:

Step-by-step explanation:

Answer:

144

Explanation:

In a regular polygon all angles and sides are equal. to find out to what all the angles add up to you take the number of sides subtract 1 and multiply by 180.

(10-2)*180=1440

1440/10=144

Answer:

-4x0 -6x -1

Step-by-step explanation:

I believe its true.

Answer:

= 5x +35

Step-by-step explanation:

Steps

5(x+7)

Apply the distributive law: ab+c) = ab + ac

5(x+7) =5x + 5: 7

=5X+5: 7

Multiply the numbers: 5 7= 35

= 5x +35

Answer:

-2 - 2i

Step-by-step explanation:

open the bracket

1 - 6i - 3 + 4i

1 - 3 + 4i - 6i

-2 - 2i

Answer:

-2 - 2i

Step-by-step explanation:

Add the real numbers (1 and (-3) ) and add the complex numbers [ 4i  and (-6i) ]

(1 - 6i) - ( 3 - 4i) = 1 - 6i - 3 + 4i

                        = 1 -3 - 6i + 4i

                        = -2 - 2i

Answer:

I round it to the whole number and degree.

<A = 33°

<C = 97°

C = 63

Step-by-step explanation:

Law of Sine: [tex]\frac{sinA}{A} =\frac{sinB}{B}= \frac{sin C}{C}[/tex]

[tex]\frac{sin(A)}{A} =\frac{sin(B)}{B}\\\frac{sin(A)}{104} =\frac{sin(50)}{49} \\\\sin(A)=\frac{104*sin(50)}{49}[/tex]

A = sin^-1 (104*sin(50)/49)

A = 33°

180° - <B - <A = <C

180° - 50° - 33° = 97°

[tex]\frac{sin(B)}{B}=\frac{sin(C)}{C} \\\\C =\frac{Bsin(C)}{sin(B)}\\\\C=\frac{104sin(97)}{sin(50)}\\\\C = 63[/tex]

The volume of a cone is calculated using the formula [tex](\frac{1}{3} )r^2h[/tex], where "h" is the cone's height and "r" is the radius of the base.

Answer:

The formula for the volume of a cone is (1/3)πr2h, where, "h" is the height of the cone, and "r" is the radius of the base.

Step-by-step explanation:

hope it helps you :)

Answer:

Milena level tro bau bola ehh

Answer:

1.3 < x < 6.7

Step-by-step explanation:

The property of triangles is that the length of the third side must be less than the sum of the lengths of the other 2 sides.

Minimum value : Taking 4.0 to be the 3rd side.

Maximum value : Taking x to be the 3rd side

Range

Answer: 1333.(3)

Step-by-step explanation:

Let her monthly income be x. Then,

(1/10)x + (1/8)x = 300

(4/40)x + (5/40)x = 300

(9/40)x = 300

x = 300 / (9/40)

x = 300*40/9

x = 12000/9

x = 1333 1/3 = 1333.(3)

The amount that was invested in the first fund is $8300.

The amount that was invested in the second fund is 3700.

0.09a + 0.03b = $858 equation 1

0.1a + 0.01b = $867  equation 2

Where:

Multiply equation 2 by 0.9:

0.09a + 0.009b = 780.30 equation 3

Subtract equation 1 from equation 3

0.021b = 77.70

Divide both sides by 0.021

b = $3700

Substitute for b in equation 1: 0.09a + 0.03(3700) = $858

0.09a + 111 = 858

a = (858 - 111) / 0.09

a = $8300

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Answer:

yo dude dont be upset im doing what you did lol!

Answer:

v=2143.57

Step-by-step explanation:

4/3 x 3.14 x 8³

3.14 x 512 x 4/3

3.14 x 512=1607.68

1607.68 x 4/3=2143.57333333

round to nearest hundreth

v=2143.57

Answer:

V ≈ 2143.57= 2144

Step-by-step explanation:

[tex]v=\frac{4}{3} *3.14*8^3[/tex]

=2143.57333333

you dont need to round, so!

=2144 (if you want)

sorry for the confusion

Answer: C

Step-by-step explanation:

The minimum is the line furthest to the left, and they are both lined up. The median, the line inside the box, is on 12. The third quartile, the edge of the box on the right hand side, are the same for both graphs. However, test 1 has a lower first quartile, the edge of the box on the right hand side, than test 2.

Answer:

1. Yes, all sides are congruent

2. Yes, the opposite sides are parallel

3. Yes, adjacent sides are perpendicular

Answer:

Step-by-step explanation:

The probability of each number is same:

So P(7) is also 1/8.

Correct choice is B

Answer:

x = 30º

Step-by-step explanation:

Let's call the midpoint of OP, R.

The triangle of OQR would be an equilateral triangle since OQ = OR as they are both radii and is OQR and ORQ are 60º, ROQ is also 60º, making the triangle equilateral. Because tangents meet a circle at 90º, the angle RQP would be 30º and since angles on a straight line add to 180º, the angle QRP would be 180-ORQ which is 120º. Now we know the 2 angles in triangle of QRP so we can work out the final angle since angles in a triangle add to 180º. So:

180 - 120 - 30 = 30º.

x = 30º

This would also prove that QR and RP are the same since base angles in an isosceles triangle are equal.

The deans have a higher weighted mean score for business schools which is 3.8.

The weighted arithmetic mean is similar to the conventional arithmetic mean in that certain data points contribute more than others to the final average.

Weighed mean = (weightage x parameter)/no of parameters

The Weighted mean score for deans

= [(5×44)+(4×66)+(3×60)+(2×10)]/(44+66+60+10)

= 684/180

= 3.8

The Mean weigted score of recruiters

= [(5×31)+(4×34)+(3×43)+(2×12)]/(31+34+43+12)

= 444/120

= 3.7

Hence, The deans have a higher weighted mean score for business schools which is 3.8.

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Answer:

B

Step-by-step explanation:

the biggest portion of the pie graph is labeled comedy, so that would be your answer.

Answer:

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

Step-by-step explanation:

We were given to points on the line we are trying to find, hence we are able to determine the slope/gradient.

[tex]( - 1, \: 1) \: and \: (1, \: 7) \\ slope = \frac{ {y}^{2} - {y}^{1} }{ {x}^{2} - {x}^{1} } \\ \\ s = \frac{7 - 1}{1 - ( - 1)} \\ s = \frac{6}{2} [/tex]

Slope is equal to 3.

Since we have the value for the slope, we can now use one of the points on the line to determine the equation of the line.

note that the coefficient of x is the slope. In this case the A from the standard form (Ax + By= C) is the slope.

[tex] \\ let \: us \: use \: the \: point \: ( - 1, \: 1) \\ a = 3 \: \: \: \: y = 1 \: \: \: x = - 1\\ ax + by = c \\ 3( - 1) + 1 = c \\ - 3 + 1 = c [/tex]

[tex] - 2 = c \\ therefore \: the \: equation \: of \: the \\ \: line \: is \\ ax + by = c \\ 3x + y = - 4[/tex]

Answer is D even tho u typo it i still got it so u do 25.75 from 8.00 yw.

Answer:

[tex]P(x\leq 0)=0.37[/tex]

Step-by-step explanation:

[tex]P(x\leq 0)= P(0)+P(2)+P(3)P(x\leq 0)= 0.16+0.11+0.10\\P(x\leq 0)=0.37[/tex]

Answer: 0.79

Step-by-step explanation:

Moving 5 one digit to the left, one number in which the value of digit 5 is 10 times as great as in 253,829 is in 538,290.

It means that the value of the digit is multiplied by 10.

Hence, moving the digit 5 one position to the left, and appending a zero at the end, generating the number 538,290, the value of digit 5 is 10 times as great as in 253,829.

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Using the t-distribution, it is found that the desired measures are given as follows:

At the null hypotheses, it is tested if the mean is of 63.5, that is:

[tex]H_0: \mu = 63.5[/tex]

At the alternative hypotheses, it is tested if the mean is less than 63.5, that is:

[tex]H_1: \mu < 63.5[/tex]

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

The values of the parameters are given as follows:

[tex]\overline{x} = 56.3, \mu = 63.5, s = 13.2, n = 62[/tex]

Hence, the test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{56.3 - 63.5}{\frac{13.2}{\sqrt{62}}}[/tex]

t = -4.29.

We have a left-tailed test, as we are testing if the mean is less than a value, with 62 - 1 = 61 df and t = -4.29. Hence, using a t-distribution calculator, the p-value is of 0.

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Answer:

131,033.

Step-by-step explanation:

The growth factor is 1 + 0.2 %

= 1 + 0.002 = 1.002.

So in 3 years population

= 130,250(1.002)^3

= 131,033

Answer:

We would distribute the 5,

5(m+1) - 1 = 5m + 5 - 1

5m + 4

Step-by-step explanation:

Answer:

(a) The number of accidents was reduced by 0.67 per month for every additional 100 drivers in the program.

Step-by-step explanation:

We are given the options,

(a) The number of accidents was reduced by 0.67 per month for every additional 100 drivers in the program.

(b) The number of accidents was reduced by 0.67 per month every month.

(c) The number of accidents increased by 0.67 per month for every additional 100 drivers in the program.

(d) There were 0.67 accidents per month.

We can eliminate option 'c' because the accidents are obviously not increasing, but rather, decreasing. We can also eliminate option 'd' (which to a certain extent is rather vague) because there is a trend in the data. If there were only 0.67 accidents per month (which is impossible anyway), then the graph would be that of [tex]y=0.67[/tex] which is indeed a straight line. Finally, we can eliminate option 'b' because the x-axis isn't in terms of months, but drivers in the program. This leaves 'a' as the only logical answer, which we can see is true because the graph trends downward (hence the negative slope) by about 0.67 per 100 drivers. With a bit of understanding about the problem, we can eliminate the illogical answers to find the correct one!

Note: you may be wondering why the slope isn't just -0.67, but that is because then it would go down by 0.67 for each driver in the program. Therefore, the slope was divided by 100 to yield us a slope of -0.0067 which makes it go down 0.67 per 100 drivers instead of only 1 driver.