Write the quadratic equation whose roots are -6 and 5, and whose leading coefficient is 3.
(Use the letter x to represent the variable.)
= 0

Answer:

m=15/14

Step-by-step explanation:

y2-y1

x2-x1

(3, 0) (-11, -15)

x1 y1   x2   y2

-15-0

-11-3          = -15/-14 m=-15/-14 = 15/14

The function that could be the function h is option A.

This refers to the type of function that can be defined by a rational fraction and contains polynomials.

Hence, we can see that option A is correct because x²+16 never turns 0, and this makes this function continuous and both the numerator and denominator are both polynomials of the second degree.

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Using a system of equations, it is found that the value of b in the function would be of 6.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, considering that when x = 0, y = 15, we have that c = 15.

Then, when x = -1, y = 10, hence:

a - b + 15 = 10.

a - b = -5.

a = b - 5.

When x = 1, y = 22, hence:

a + b + 15 = 22.

a + b = 7.

Since a = b - 5:

b - 5 + b = 7.

2b = 12.

b = 6.

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Answer:

B) 6

Step-by-step explanation:

I took the exam for alg 2

Answer:

a=17/33

Step-by-step explanation:

c=11a ----(1)

3c=17 ---- (2)

Substitute equation (1) into equation (2)

3(11a)=17

33a=17

Divide both side by 33

a=17/33

Answer:

Step-by-step explanation:x=π2,3π2

Explanation:

This can be factored as (x2+a)x2+b).⇒(sin2x+3)(sin2x-1)=0⇒

2

x

=

−

3

and

sin

2

x

=

1

⇒

sin

x

=

√

−

3

and

sin

x

=

√

1

⇒

sin

x

=

∅

and

sin

x

=

±

1

⇒

x

=

π

2

,

3

π

2

Hopefully this helps!

Answer:

0.03

Step-by-step explanation:

You can do this on a calculator.

6 ÷ 161 = 0.0372670807

Hope this helped

Answer:

Answer:

240,600

Step-by-step explanation:

10⁵=100,000

2.4×100,000=240,000

10²=100

6×100=600

240,000+600=240,600

The density become by the elemental composition of the person has will be 0.258 and hence, option (A) will be correct.

In science, density is defined as the ratio of an object's mass to volume. Technical and statistical density assessments are done using a technique. The theory is applicable to the laws of nature in sciences like physics, where the emphasis is on things and matter.

Because density affects so many aspects of life, comprehending it is crucial. Which cells will float high in the atmosphere and which will sink lower depends on density, according to physics.

Given that the element has

Volume = 16 cubic inch

weight = 4.13 pound

Since density = weight / volume

density = 4.13/16

density = 0.258 which is matching through option (A) hence it will be correct.

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The Weekly Sales for 30 shelf spaces is 3.04

The proper table is added as an attachment.

Next, we determine the regression equation using a graphing calculator.

From the graphing calculator, we have the following calculation summary:

The regression equation is represented as:

y = bx + a

Where

b = SP/SSX = 46/750 = 0.06133

a = MY - bMX = 2.12 - (0.06*15) = 1.2

So, we have:

ŷ = 0.06133x + 1.2

When x =30, we have:

ŷ = 0.06133 * 30 + 1.2

Evaluate

ŷ = 3.04

Hence, the Weekly Sales for 30 shelf spaces is 3.04

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Answer:

B. survey a random sample of 7th-grade students

Step-by-step explanation:

this answer would make the most sense because it is a example of a random statistical question.

The quotient of 874 and 23 determined using an area model is 38.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have:

= 874 ÷ 23

= (800 + 74 + 4) ÷ 23

We can get the answer by using the area model:

If divide 874 with 23 we get 184 as a remainder and 030 as a quotient

Further, if  we divide 184 with 23 we get 0 as a remainder and 008

874 ÷ 23 = 030 + 008 = 38

Thus, the quotient of 874 and 23 determined using an area model is 38.

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The surface area of the right cone is 141 sq. units. The correct option is B. 141 sq. units

From the question, we are to determine the surface area of the given right cone

The total surface area of a cone can be calculated by using the formula,

TSA = πrl + πr²

Where TSA is the total surface area

r is the radius

and l is the slant height

From the given information,

r = 3

l = 12

Putting the parameters into the formula, we get

TSA = (π×3×12) + (π ×3²)

TSA = 36π + 9π

TSA = 45π sq. units

TSA = 141.37 sq. units

TSA ≅ 141 sq. units

Hence, the surface area of the right cone is 141 sq. units. The correct option is B. 141 sq. units

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Answer

8.08

Use the distance formula:

[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

where (x1, y1), (x2, y1) are points

[tex]\rightarrow \sf d =\sqrt{(7-(-8))^2 + (4-(-2))^2}[/tex]

[tex]\rightarrow \sf d =\sqrt{(15)^2 + (6)^2}[/tex]

[tex]\rightarrow \sf d =3\sqrt{29}[/tex]

This is the length of diameter.

Then radius:

· diameter/2

[tex]\sf \cdot \dfrac{3\sqrt{29} }{2}[/tex]

[tex]\sf \cdot 8.0777[/tex]

[tex]\sf \cdot 8.08 \ \ (rounded \ to \ nearest \ hundreth)[/tex]

The mean score per game is higher for Central High School than for South County High School because the distribution of Central High School's scores is skewed right and contains large outliers.

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

From the data given in the box plot, we can conclude that the mean score per game is higher for Central High School than for South County High School because the distribution of Central High School's scores is skewed right and contains large outliers.

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Answer:

90°

radius is perpendicular to tangent.

Step-by-step explanation:

Bajo la suposición de que las ciudades se hallan en la misma latitud, la distancia estimada entre las dos ciudades es de aproximadamente 6814 kilómetros.

En esta pregunta asumimos que la Tierra tiene una geometría esférica, de modo que los cálculos de arcos circulares se pueden obtener de manera simple y ágil. Por otra parte, también asumimos que las que la ciudad de Londres se encuentra a la misma latitud que la ciudad de Nueva York.

Es posible determinar la distancia estimada mediante la siguiente ecuación de arco circular:

s = [(θ' - θ) · π/180] · R · cos α     (1)

Where:

Si sabemos que θ' = 7°, θ = - 73°, α = 40° y R = 6371 km, entonces la distancia estimada entre la ciudades de Nueva York y Londres es:

s = [(7+73)/180] · π · (6371 · cos 40°)

s ≈ 6814.420 km

Bajo la suposición de que las ciudades se hallan en la misma latitud, la distancia estimada entre las dos ciudades es de aproximadamente 6814 kilómetros.

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The best statement that describes the relationship between lines s and t : (C). Lines s and t are parallel.

A line can be defined as a figure that is one dimensional. It is a trace that is made by the movement of points in opposite direction.

Parallel lines can be defined as a group of lines that are of the same orientation. They face the same direction and are on the same axis.

In conclusion, The best statement that describes the relationship between lines s and t : Lines s and t are parallel.

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Answer:

I believe that is the diameter.

Answer:

C. Diameter

Step-by-step explanation:

Circumference: The distance around the edge outside of the circle.

Diameter: The distance across the circle that goes through the center.

Radius: The distance halfway across the circle, which is half the diameter.

Center: The point or dot in the middle of a circle.

Answer:

Step-by-step explanation:

1.169

Answer:

8^2−38+85+3√8 =111+6√2

(Decimal: 119.485281)

Answer:

Reese's Peanut Butter Cups: 10.8

York Peppermint Patties: 2.6

Step-by-step explanation:

Let Reese's Peanut Butter Cups be r and York Peppermint Patties y.

Step 1: Make equations.

1) If you buy 3 bags of Reese's Peanut Butter Cups and 6 bags of York Peppermint Patties, it costs $48.

[tex]3r + 6y = 48[/tex]

2) If you buy 4 bags of Reese's Peanut Butter Cups and 3 bags of York Peppermint Patties, it costs $51.

[tex]4r + 3y = 51[/tex]

Step 2: Solve the system of equations.

We have system of equations. I'll solve them by elimination.

[tex](1.) \text{ } 3r + 6y = 48\\(2.) \text{ } 4r + 3y = 51[/tex]

Multiply the second equation with 2 so we'll get 6y.

[tex](1.) \text{ } 3r + 6y = 48\\(2.) \text{ } 8r + 6y = 102[/tex]

Now let's subtract second equation from first and solve for r.

[tex]3r - 8r + 6y - 6y = 48 - 102\\-5r = -54\\r = \frac{-54}{-5}\\r = \$10.8[/tex]

To get y let's substitute the value of r in first equation.

[tex]3r + 6y = 48\\3 \cdot 10.8 + 6y = 48\\32.4 + 6y = 48\\6y = 15.6\\y = \$2.6[/tex]

Answer:

b < 12.5

Step-by-step explanation:

2b + 5 < 30

1. Subtract 5 from both sides:

2b < 25

2. Divide both sides by 2:

b < 12.5

Final answer: b < 12.5

The value of b is any value that is less (smaller) than 12.5.

Hope this helps!

Step-by-step explanation:

an average of $3 per student would mean

sum(all students $) / 45 = 3

sum(all students $) = 3×45 = 135

x students have $5.

therefore (45-x) students have $2.

5x + 2(45-x) = 135

5x + 90 - 2x = 135

3x = 45

x = 15

so, 15 students have $5, and 45-15 = 30 students have $2.

The value of the addition of the numbers 7.8+917.62 will be 925.42.

The method of increasing the number is called the addition. or the sum of the two numbers is termed as the addition.

The addition of the numbers will be done as:-

917.62

 +7.80

925.42

First, arrange the number one to another then add from the unit places you will get your answer.

So the addition of the numbers will be 925.42

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Answer:

18

Step-by-step explanation:

the absolute value is 18

Answer:

a = 1.07

b = 1.96

r = 96%

Step-by-step explanation:

In an exponential function, modeled by f(x) = a(b)ˣ, a is the initial value and b is the growth factor. If we apply this formula to the given function y = 1.07(1.96)ˣ, we can see that the initial value, a, is 1.07, and the growth factor, b, is 1.96.

Now, to break down b, 1.96, into a rate, you simply set it equal to the problem’s given (1 + r) equation to find the rate.

1.96 = 1 + r

So r = .96

Now, we just have to convert .96 into a percentage to get a growth rate of 96%.

The linear function that represents the line y - 2 = 4(x - 3), in slope-intercept form, is expressed as: D. f(x)y = 4x - 10.

A linear function equation is expressed as, y = mx + b, in slope-intercept form.

Given the point-slope equation of the function, y - 2 = 4(x - 3), rewrite in slope-intercept form:

y - 2 = 4(x - 3)

y - 2 = 4x - 12

y = 4x - 12 + 2

y = 4x - 10

The linear function would be: D. f(x)y = 4x - 10

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karen's conclusion is valid because the association does imply causation.

An association claim asserts that a particular level of one variable is expected to be related to a specific level of another variable. As two variables are related, they are said to be correlated, which means that when one variable varies, the other variable tends to change as well. 

An association claim must include at least two variables that are measured rather than manipulated.

While an association claim just acknowledges a connection between two variables, a causal claim goes a step further by claiming that one of the factors is responsible for altering the other.

Therefore, we can conclude that the claim which states that:

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Answer:

Association does not equal Causation, since Karen's theory does not have any evidence to prove causation, her theory is invalid.

Step-by-step explanation:

Answer:

1/3

1/2

Step-by-step explanation:

Sum being greter than 8, means 9,10,11,12 (12 is max as 6+6)

You can get 9 in these ways, (6+3),(5+4),(4+5),(3+6)

For 10, (6+4),(5+5),(5+5),(4+6)

For 11, (6+5),(5+6)

For 12 (6+6),(6+6)

Each outcome has probability of 1/6 x 1/6 = 1/36

There are 12 outcomes hence 12(1/36) = 12/36 = 1/3

Part b is 1/2 because half of dice has odd numbers.