Which function has zeros at x = -2 and x = 5?
Оооо
f(x) = х2 + 2x – 10
f(x) = х2 - 2x – 10
f(x) = х2 + 3х – 10
f(x) = х2 – 3х – 10

Answer:

Step-by-step explanation:

360

We get the cost of the system and cost of the games  as $126 and $378 respectively.

Given, the price of the video game and several games are sold for $504.

The cost of the game is 3 times as much as the cost of the system.

we need to determine the cost of the system and the cost of the game = ?

Let x = the cost of the games.

Let y = the cost of the system.

therefore, x+y=504

and y = 3x

substitute the value of y.

⇒ x + y = 504

⇒ x + 3x = 504

combine like terms.

⇒ 4x = 504

Divide both sides by 4.

⇒ x = 504/4

⇒ x = 126

The cost of the system is $126.

Use y = 3x substituting 126 for x.

g = 3(126)

g = 378

The cost of the games is $378.

Hence we get the cost of the system and cost of the games as $126 and $378 respectively.

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Answer:

35

Step-by-step explanation:

You can easily graph this in desmos for a visual understanding.

The slope of a line is received by (y2-y1)/(x2-x1). Assuming that Days is X and the cost is Y, we get (160-90)/(4-2), and it makes 70/2, which equates out to 35. Because the prices become more and more expensive, the slope is positive 35.

Answer:

New secured 4.50% is the best option.

Answer:

The expression is 26 - s.

Step-by-step explanation:

Number of sour candies Eve has = 26

Number of candies ate by Eve = s

Let,

x be the candies left.

Candies left = Total - candies eaten

x = 26 - s

Therefore,

The expression is 26 - s.

Answer:

Answer:

16 boxes

Step-by-step explanation:

16x5=80+150=230>15x16=240

Answer:

45 = 50

not true

Answer:   45=50

Step-by-step explanation:

Answer:

Y=2x-2

Step-by-step explanation:

Slope intercept form is also known as y=mx+b

The slope of a line is rise over run. In this case that would be 2/1 which simplifies to 2

The intercept is where the line crosses the y axis, which is at -2

So your equation would be y=2x-2

The total time for the mass of the element to be 60 grams is 7.5 minutes

What is exponential growth factor?

The exponential growth or decay formula is given by

x ( t ) = x₀ × ( 1 + r )ⁿ  for growth rate

x ( t ) = x₀ × ( 1 - r )ⁿ   for decay rate

x ( t ) is the value at time t

x₀ is the initial value at time t = 0.

r is the growth rate when r>0 or decay rate when r<0, in percent

t is the time in discrete intervals and selected time units = n

Given data ,

Let the total mass of element be = 520 grams

So , the value of x₀ = 520 grams

Now , the decay rate of element is given by r = 25.1 %

To calculate the time at which the amount of element left is 60 grams = n

where n is the total time = t

So , x ( t ) = 60

The decay rate formula is given by the equation ,

x ( t ) = x₀ × ( 1 - r )ⁿ

Substituting the values in the equation , we get

60 = 520 ( 1 - 25.1/100 )ⁿ

On simplifying the equation , we get

60 = 520 ( 1 - 0.251 )ⁿ

Divide by 520 on both sides of the equation , we get

( 0.749 )ⁿ = 6/52

Taking logarithm on both sides , we get

n × log ( 0.749 ) = log ( 6/52 )

Divide by log ( 0.749 ) on both sides , we get

n = log ( 6/52 ) / log ( 0.749 )

n = -0.9378 / -0.1255

n = 7.47 minutes

Therefore , the value of n time t = 7.5 minutes

Hence ,

The total time for the mass of the element to be 60 grams is 7.5 minutes

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The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

Answer:

0y=(x-1)2-2

Step-by-step explanation:

all about addition and subtraction

The mean of the given problem is 2.760 and variance is 0.2208.

\($\rightarrow$\) This is binomial event, because: The number of (correctly classified) out of 3 randomly selected (parts) is binomial because it is the number if successes in n independent and identical Bernoulli trails.

(i) Bernoulli: - Each part has only 2 outcomes, either success (= correctly classified) of failure (otherwise). This forms "Bernoulli" event.

(2) Independent: - Each parts is independent of each other.

(3) Identical: - Each parts have The exact same probability of being correctly classified.

Here Given that; Let x denote number of correctly classified in n=3 independent parts, where each has a probability P=0.92 we denote this by:

\($x \sim \\Binomial (n=3, p=0.92)$\)

\($\rightarrow$\) probability of x number of correctly classified is \($\leftarrow$\)

\($$P(x=x)=\left(\begin{array}{l}n \\x\end{array}\right) P^x(1-p)^{(n-x)}$$\)

where \($\left(\begin{array}{l}n \\ x\end{array}\right)$\) is combinational expression

\($$\left(\begin{array}{l}n \\x\end{array}\right)=\frac{n !}{x !(n-x) !}$$\)

⇒ given that n=3, p=0.92

Expected value of x mean =\(\mu=n p=3 \times 0.92$ :$$\)

therefore, mean =2.760

\($$variance $\left(\sigma^2\right)=n p(1-p)=3 \times 0.92(1-0.92)$$$\)

\(\begin{aligned}\sigma^2 & =0.2208 \\\therefore \text { Variance }\left(\alpha^2\right) & =0 .2208\end{aligned}$$\)

Therefore, mean of the given problem is 2.760 and variance is 0.2208.

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Answer: Use the figures to complete the statements.

The height of the triangle h is

✔ 12

in.

The area of the triangle is

✔ 48

in.2.

The area of the parallelogram is

✔ 80

in.2.

The area of the irregular figure is

✔ 128

in.2.

Step-by-step explanation: I js now got it right by the power of guessing

The sum of all a triangle's sides' lengths is the formula for calculating a triangle's perimeter.

The whole length of a shape's boundary is referred to in geometry as the perimeter of the shape. By multiplying the lengths of all the sides and edges that surround an object, the perimeter may be calculated. It is measured in measures of length that are linear, such as centimeters, meters, inches, or feet.

The sum of all a triangle's sides' lengths is the formula for calculating a triangle's perimeter.

Add the sides' lengths to find a triangle's perimeter. As an illustration, the perimeter of a triangle with sides a, b, and c is given by P = a + b + c.

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Step-by-step explanation:

-63x-56y=10

-56y=10+63x

y= 10+63x/-56

Answer:

#3

Step-by-step explanation:

Answer: D

Step-by-step explanation:

To solve this question, we need to change the equation to standard form.

\(x^2=-13x-4\)                              [add both sides by 13x and 4]

\(x^2+13x+4=0\)                           [use quadratic equation]

\(\frac{-13+\sqrt{13^2-4(4)}}{2} , \frac{-13-\sqrt{13^2-4(4)}}{2}\)       [simplify]

\(\frac{-13+\sqrt{13^2-16}}{2} , \frac{-13-\sqrt{13^2-16}}{2}\)

\(\frac{-13+\sqrt{169-16}}{2} , \frac{-13-\sqrt{169-16}}{2}\)

\(\frac{-13+\sqrt{153}}{2} , \frac{-13-\sqrt{153}}{2}\)

Therefore, the answer is D.

The recursive rule is f(n) = f(n - 1) * 2; f(1) = 9 and the explicit rule is f(n) = 9(2)^n-1

The recursive rule

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

The table

The table definitions imply that we simply multiply 2 to the previous term to get the current term

This means that

f(n) = f(n - 1) * 2

Where

f(1) = 9

The explicit rule

The table definitions imply that we simply multiply 2 to the previous term to get the current term

a = 9

r = 2

So we have

f(n) = a * r^n-1

This gives

f(n) = 9(2)^n-1

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The angle that is supplementary to <DEA is DEC

To determine the angle that is supplementary to <DEA , we need to consider the following;

From the information given, we have that;

<DEA is supplementary to <DEC that is sum of angles on a straight line.

Then,

<DEA + <DEC = 180 degrees

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Answer:

Step-by-step explanation:

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.

The numeric value of the expression -b + 8x when b = 5 and x = -6 is given as follows:

-53.

To find the numeric value of a function or of an expression, we replace each instance of the variable/variables in the function or in the expression by the value/values at which we want to find the numeric value.

In this problem, the expression is given as follows:

-b + 8x.

The values at which the numeric value is to be found are:

b = 5, x = -6.

Hence:

Thus the numeric value of the expression is obtained as follows:

-5 + 8(-6) = -5 - 48 = -53.

The problem is given by the image at the end of the answer.

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The ordered pair that solves the system of equation is (0, 0).

To solve this system, we can substitute the first equation into the second equation to eliminate y:

x = 2x

Solving for x, we get x = 0.

Substituting x = 0 into the first equation, we get y = 0.

Therefore, the ordered pair that solves the system is (0, 0).

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The system of graphs is a very unique concept which helps to understand various concepts in a visual way.

How does this occur?

The two lines intersect at (-3, -4), which is the system of equations' solution.

This is how the equation can be solved-

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The experimental probability of choosing a student who walks to school is given by 0.15625 or 15.625%.

Given data ,

The experimental probability of choosing a student who walks to school can be calculated by dividing the number of students who walk to school by the total number of students in Joe's class.

Number of students who walk to school = 5

Total number of students in the class = 32

Experimental probability = Number of students who walk to school / Total number of students

= 5 / 32

P = 0.15625

Hence , the experimental probability of choosing a student who walks is 0.15625 or 15.625%.

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A statement that describes the median of a triangle include the following: A. a segment drawn from a vertex to the midpoint of the opposite side.

In Mathematics and Geometry, a triangle is a two-dimensional geometric shape that comprises three sides, three vertices and three angles only.

In Mathematics and Geometry, the median of a triangle can be defined as a line segment with end points that is typically drawn from a vertex to the midpoint of the opposite side of the triangle.

In this context, we can logically deduce that a line segment with end points at the vertex and the midpoint of the triangle's opposite side simply refers to the median of a triangle.

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Answer:

44

Step-by-step explanation:

tip total ÷ number of waiters

132÷3 =44