Select the correct answer. This graph represents a quadratic function. What is the value of a in this function’s equation?
A. -1
B. 2
C. 1
D. -2

Answer:

B. 116

Step-by-step explanation:

Answer:

D) 102

Step-by-step explanation:

Angle ABC is an inscribed angle.

Inscribed angle = 1/2 * Intercepted Arc

The intercepted arc is arc CD + arc DA, which would be 128 + 76 = 204

m<ABC = 1/2(204)

m<ABC = 102 degrees

You answer is D) 102

Answer: y=-1x+0

so,  y=-1x

Answer:

[tex]9^8[/tex]

Step-by-step explanation:

[tex]9^8=43046721[/tex]

[tex]ln(9^x)=xln(9)[/tex]

so we search [tex]x=ln(43046721)/ln(9)[/tex]

hope this helps

Answer:

9^8=43046721

Step-by-step explanation:

The exponent 9 of a number is found by multiplying that number by itself 9 times.

Answer:

The magnitude of the boat's velocity is 5.66 m/s

Step-by-step explanation:

Given;

Radius of curvature of the circular path, r = 40 m

speed of the boat, v = 0.8 t m/s

The magnitude of the boat's velocity when it has traveled 20 m is ?

a = dv / dt,

v = 0.8 t (differentiate with respect to t)

dv / dt = 0.8 = a

thus, a = 0.8 m/s²

If the boat starts from rest, initial velocity, u = 0

Apply kinematic equation, to solve for the boat velocity at 20 m

v² = u² + 2as

v² = 0 + 2 x 0.8 x 20

v² = 0 + 32

v² = 32

v = √32

v = 5.66 m/s

Therefore, the magnitude of the boat's velocity when it has traveled 20 m is 5.66 m/s

Answer: 12.5

Step-by-step explanation:

25 / 2 = 12 1/2

12 1/2 in decimal form is 12.5

Answer:

12.5

Step-by-step explanation:

=> [tex]\frac{25}{2}[/tex]

In mixed form, it is

=> [tex]12\frac{1}{2}[/tex]

And in decimal form, it becomes

=> 12.5

Answer:

True

Step-by-step explanation:

The distance between the given points is [tex]\sqrt{(x_{1}-1 )^{2}-(y_{1}-2 )^{2} }[/tex].

The given points are  (1, 2) and [tex](x_{1} , y_{1})[/tex] .

We to find the distance between the given points.

The formula to find the distance between points is [tex]\sqrt{(x_{1}-x_{2} )^{2}-(y_{1}-y_{2} )^{2} }[/tex].

Now, [tex]\sqrt{(x_{1}-1 )^{2}-(y_{1}-2 )^{2} }[/tex]

Therefore, the distance between the given points is [tex]\sqrt{(x_{1}-1 )^{2}-(y_{1}-2 )^{2} }[/tex].

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Answer:

A

Step-by-Step Explanation:

We want to find the limit:

[tex]\displaystyle{\lim_{x\to\frac{\pi}{2}}(2e^x\cos(x))}[/tex]

Use direct substitution.

Hence:

[tex]\displaystyle{\Rightarrow 2e^\frac{\pi}{2}\cos(\frac{\pi}{2}})[/tex]

Recall the unit circle. cos(π/2) is simply 0. Hence:

[tex]\displaystyle{\Rightarrow 2e^\frac{\pi}{2}(0)=0[/tex]

Therefore:

[tex]\displaystyle{\lim_{x\to\frac{\pi}{2}}(2e^x\cos(x))}=0[/tex]

So, our answer is A.

Answer:

b)

Step-by-step explanation:

the easy way of doing this in my opinion is just to multiply the options by their corresponding values so in this case 3x10=30 and 5x14=70 then add those together and it equals 100 points with a total of 24 questions

Answer:

2 for both

Step-by-step explanation:

The distance between the points and the y-axis will be the value of the x coordinate, as x is the horizontal distance from 0 and the y-axis.

Answer:

Answer 4

Step-by-step explanation:

Answer:

y=x_1 is the solution of system

Answer:

I hope this is helpful (2x-3)(3x+5)

Step-by-step explanation:

(2x-3)(3x+5)

6x2-9x+10x-15

6x2+x-15

Answer:

your answer is 3x+5

Step-by-step explanation:

on edge 2021

Answer:

(y-6)=-2/3(x+4)

Step-by-step explanation:

Answer:

5 people have pink cups

Step-by-step explanation:

10-5=5

:D

Answer:

5

Step-by-step explanation:

10-5=5

^--^

Answer:

A

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

45/30 can be simplified.

The highest common factor of 45 and 30 is 15.

45÷15/30÷15

Divide.

3/2

Answer:

Positive correlation

Step-by-step explanation:

From the scatter plot shown in the graph above, we can observe that the data points that are clustered in a band run upwards from left of the graph to the right.

In simple terms, both variables move along the same direction, which means, as variable on one axis increases, the variable on the other axis increases as well.

This shows that the variables depicted on the scatter plot are positively correlated. It shows a positive correlation between the variables.

The relationship between the variables on the scatter plot it a positive correlation

From the graph, we have the following highlights

When the x and the y values increase or decrease in the same direction, then the correlation of the graph is positive.

Hence, the relationship between the variables on the scatter plot it a positive correlation

Read more about correlation at:

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Answer:

Step-by-step explanation:

Hello

(fog)(x)=f(g(x))=10(x-6)/10+6=x-6+6=x

(gof)(x)=(10x-6+6)/10=10x/10=x

So YES the functions are inverse

hope this helps

Answer:

Step-by-step explanation:

The length of the base is 3 feet and the height of the triangle is 6 feet.

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees. The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the triangle in a two-dimensional plane is called the area of the triangle.

Given that the height of a triangle is 3 feet greater than the base. The area of the triangle is 54 square feet.

The dimensions of the triangle will be calculated as,

A = (1/2)  x b x h

A = (1/2) x b x ( b + 3 )

54 = ( 1 / 2 ) x ( b² + 3b )

108 =  ( b² + 3b )

( b² + 3b - 108) = 0

( b² + 12b -3b -108 ) = 0

(b - 3 ) ( b+ 12 ) = 0

b = 3 and b = -12 ignore negative value.

The height will be calculated as,

h = b + 3

h = 3 + 3

h = 6 feet

Therefore, the length of the base is 3 feet and the height of the triangle is 6 feet.

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Answer:

The correct option is;

B. -2

Step-by-step explanation:

From the graph, we have;

At x₁ = 300, y₁ = 800

At x₂ = 400, y₂ = 600

The formula for the slope, m, of a graph is given as follows;

[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{600 - 800}{400 - 300}= \dfrac{-200}{100} = -2[/tex]

Therefore, a reasonable estimate of the rate of change for the interval 300 ≤ x ≤ 400 is -2 which is a negative slope as expected as the y-coordinate values, which is the value of the function, decreases while the x-coordinate values which is the independent variable increases as we go from 300 ≤ x ≤ 400.

Answer:

5/2

Step-by-step explanation:

You slope is always mx

In point-slope form, your mx is just in factored form. All you need to do is distribute to find m.

Answer:

x = 10000

Step-by-step explanation:

log x = 4

Raise each side to the base of 10

10^log x = 10 ^4

x = 10 ^4

x = 10000

Answer:

x = 10,000

Step-by-step explanation:

I got it right on the test.

Answer:

B

Step-by-step explanation:

Volume of Sphere = 4/3 x 3.14 (pi) x r^2

Answer:

Step-by-step explanation:

The general form of a quadratic equation with roots a and b is expressed as shown;

x²-(sum of root) x + (product of roots) = 0

x² - (a+b)x + ab = 0 ... 1

Given the sum of roots a+b = -7

Product of roots ab = -2

Substituting this values in equation 1 above wil give;

x²-(-7)x+(-2) = 0

x²+7x-2 = 0

The resulting quadratic polynomial is x²+7x-2 = 0

Answer:

6.8 nearly 7

Step-by-step explanation:

beacuse mean is sum of all terms in a data/number of terms in the data

Answer: 7

Step-by-step explanation:

To find the mean of a set, you take the sum of the set and divide it by the number of numbers in the set.

[tex]\frac{2+6+7+9+9+9}{6} =\frac{42}{6} =7[/tex]

Answer:

d.

Step-by-step explanation:

i looked at the graph!

Answer:

(-65)/17

Step-by-step explanation:

Evaluate 3/(x - 2) - sqrt(x - 3) where x = 19:

3/(x - 2) - sqrt(x - 3) = 3/(19 - 2) - sqrt(19 - 3)

19 - 3 = 16:

3/(19 - 2) - sqrt(16)

19 - 2 = 17:

3/17 - sqrt(16)

sqrt(16) = sqrt(2^4) = 2^2:

3/17 - 2^2

2^2 = 4:

3/17 - 4

Put 3/17 - 4 over the common denominator 17. 3/17 - 4 = 3/17 + (17 (-4))/17:

3/17 - (4×17)/17

17 (-4) = -68:

3/17 + (-68)/17

3/17 - 68/17 = (3 - 68)/17:

(3 - 68)/17

3 - 68 = -65:

Answer: (-65)/17

Answer:

-3.86

Step-by-step explanation:

Replace x with 19.

f(19) = 3/(19+2) - √19-3

f(19)= 1/7 - 4

f(19) = -3.86

Answer:

The speed is still water is [tex]v = \frac{d}{h} - c[/tex].

Step-by-step explanation:

Dimentionally speaking, speed is distance divided by time. Since, the person is travelling downstream, absolute speed is equal to the sum of current speed and speed of the person regarding current. Both components are constant. That is:

[tex]c + v = \frac{d}{h}[/tex]

Where:

[tex]c[/tex] - Current speed, measured in miles per hour.

[tex]v[/tex] - Speed of the person regarding current, measured in miles per hour.

[tex]d[/tex] - Distance travelled downstream, measured in miles.

[tex]h[/tex] - Time spent on travelling, measured in hours.

Speed in still water occurs when current speed is zero. Then, such variable is obtained after subtracting current speed on both sides of the expression. Hence:

[tex]v = \frac{d}{h} - c[/tex]

The speed is still water is [tex]v = \frac{d}{h} - c[/tex].

Answer:

12.7 years to the nearest tenth.

Step-by-step explanation:

The total of the ages for the 25 students = 10*25 = 250.

For the 30 students it is 15*30 = 450.

The average for the 2 classes = (250 + 450) / (25 + 30)

= 700 / 55

=  12.7 years to the nearest tenth.

Answer:

C(6,-4)

Step-by-step explanation:

-8+-4=-12

-12÷2=-6

I hope this helps

Answer:

C

Step-by-step explanation:

(6,-4)

Answer:

The answers are below

Step-by-step explanation:

a)67.592

b)21.748

c)241.402