The function f(x) is shown on the graph.

On a coordinate plane, a curved line with 3 arcs, labeled f of x, crosses the x-axis at (negative 2, 0), (negative 1, 0), (1, 0), and (3, 0), and the y-axis at (0, negative 6).

What is f(0)?

By solving the two quadratic equations we found the values (0,-1).

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given equations are;-

The two equations are solved by equating them and finding the value of x.

3x² + 6x + 4 = -3x² + 4

6x² + 6x = 0

6x ( x+1 ) = 0

6x  = 0 so x = 0

( x+1 ) = 0 so x = -1

Therefore solving the two quadratic equations we found the values (0,-1).

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The number of ways for the jobs to be ordered in the queue so that job A is the first to finish or the last to finish is; 2 * 9!

We are told that;

There is a set of 10 jobs in the printer queue.

One of the jobs is job A. Thus, there are 9 other identified jobs.

Number of ways to order this nine jobs = 9!

Since the job A has to be ordered first or last, then;

Number of ways to order job A = 2 ways.

Thus;

Total number of ways to order the jobs in the given order = 2 * 9!

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Answer:

(1, 0 ) and (0, - 8 )

Step-by-step explanation:

8x - y = 8 → (1)

8x² - y = 8 → (2)

since both equations are equal to 8 then equate the left sides

8x² - y = 8x - y ( subtract 8x - y from both sides )

8x² - 8x = 0 ← factor out 8x from each term

8x(x - 1) = 0

equate each factor to zero and solve for x

8x = 0 ⇒ x = 0

x - 1 = 0 ⇒ x = 1

substitute these values into (1) and solve for y

x = 0 : 8(0) - y = 8 ⇒ y = - 8 ⇒  (0, - 8 )

x = 1 : 8(1) - y = 8 ⇒ y = 0 ⇒ (1, 0 )

Answer:

3\2 is the marked

y cos x,=2

3\2=0.5

x=0.5*2=3.0

=3.0*2=6.0

[tex]\sf Sine \ Rue : \ \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]

Given following:

Solve for b (distance between school and mall):

[tex]\dashrightarrow \sf \dfrac{\sin 56}{38} = \dfrac{\sin 77}{b}[/tex]

[tex]\dashrightarrow \sf b= \dfrac{38\sin 77}{\sin 56}[/tex]

[tex]\dashrightarrow \sf b= 44.6615 \quad \approx \quad 45[/tex]

An expression is defined as a set of numbers, variables, and mathematical operations. The term that best describes 3 is coefficient.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of 3 in the expression, 9 + 4(x + 2) - 3x, is that it is the coefficient of x in the third term.

Hence, the term that best describes 3 is coefficient.

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There appear to be 25% more sales of horror books than cookbooks, but there are really only about 2% more.

Percentage is a measure of frequency that expresses the ratio of two numbers as a value out of 100.

Percentage of horror books to comedy books = [(number of horror books sold / number of comedy book) - 1 ] x 100

[(55 / 54) - 1] x 100 = 2%

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Answer:

[tex]\left(12x^5-3x^1+2x-5\right)+\left(8x^1-3x^3+4x+1\right)[/tex]

=> Expand

[tex]12x^5-3x^1+2x-5+8x^1-3x^3+4x+1[/tex]

=> simplify and group like terms

[tex]12x^5-3x^3+5x^1+6x-4[/tex]

=> simplify further

[tex]12x^5-3x^3+11x-4[/tex]

Answer:

[tex]\frac{4}{n^{2} }[/tex]

Step-by-step explanation:

(2nm⁻³) * 2m³n⁻³

First, focus on the coefficients, 2*2 = 4.

Now the n, n * n⁻³ = n⁻²

Now the m, m⁻³ * m³ = m⁰ = 1

Now multiply altogether, 4n⁻²(1) = [tex]\frac{4}{n^{2} }[/tex]

Answer:

a) 13

b) 1/3

c) -2

d) 1

Step-by-step explanation:

This is quite simple if you look at it from a different perspective. Imagine that when it says "f(2)" That you are plugging the number 2 in for every x on the right side of the equation:

For example:

f(x) = 3x + 7

f(2) = 3(2) + 7

f(2) = 6 + 7

f(2) = 13

________

f(-3) = 3x + 7

f(-3) = 3(-3) + 7

f(-3) = -9 + 7

f(-3) = 7 - 9 (This is just for those that hate negative values. You can rearrange the values as long as their sign is the same when you do move them. Ex: -14 + 6 - 4 + 9 == 9 + 6 - 14 - 4. I hope that makes sense.

f(-3) = -2

The other way is quite simple as well, if you look at it from a different perspective. Imagine that when it says "f(x) = 8" that you are changing the f(x) to the number 8:

For example:

f(x) = 8

f(x) = 3x + 7

8 = 3x + 7

8 - 7 = 3x

1 = 3x

x = 1/3

f(x)= 10

f(x) = 3x + 7

10 = 3x + 7

10 - 7 = 3x

3 = 3x

3/3 = x

1 = x

I hope this helps!

Answer:

Step-by-step explanation:

ohn will need to sleep for 10.3 hours before his second exam so that the

he average of his two exam scores is an 80.

We were given

8 hours of sleep = 70

To get an average of 80

70+ x = 80

2

Cross multiply:

70+x = 160

x= 160-70

= 90.

If 8 hours of sleep = 70

x hours of sleep = 90

Cross multiply

8× 90 = 70 × x

720 = 70x

x = 720/70

x = 10.2857

≈ 10.3 hours of sleep

All the points  The point (-3.2), The point (-7.5), Point (2.-5), and The point (-14,6) is located in the solution region.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

When we plot all the points on the graph we can see that all the points The point (-3.2), The point (-7.5), Point (2.-5), and The point (-14,6) are located in the solution region.

Therefore all the points  The point (-3.2), The point (-7.5), Point (2.-5), and The point (-14,6) is located in the solution region.

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Answer: See the attached images below.

The steps and explanations are on those screenshots, so there's not much for me to mention right here on this main page. The decimal results are approximate to 6 decimal places. Make sure your calculator is in degree mode.

In 15 years, the average car releases 458.7 kilograms of nox.

We know that the average vehicle releases 1.39 grams per mile driven.

And, in average, that car drives 22,000 miles per year.

So in a year, a car releases:

M = (22,000)*1.39 g  = 30,580 g = 30.58 kg

In one year, the average car releases around 30.58 kilograms of nox.

Then in 15 years, the car releases 15 times that amount, then we have the product:

T = 15*30.58 kg = 458.7 kg

In 15 years, the average car releases 458.7 kilograms of nox.

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This  is an equilateral triangle, therefore, all the angles  are 60 degrees.

3 times  60 is  180.

180 is the answer

Answer:

13.) 314.2 in²

15.) 181.5 ft²

Step-by-step explanation:

The area of a circle is found using the equation:

A = πr²

In this equation, "π" represents the number pi (3.14....) and "r" represents the radius (half the diameter).

For 13.), you have been given the radius. Thus, you can substitute it into the equation and solve for "A".

A = πr²

A = π(10)²

A = π x (100)

A = 314.2 in²

For 15.), you have been given the diameter. To find the radius, you need to divide this value by 2. Once you find the radius, you can plug it into the equation and simplify like above.

diameter = 15.2 ft
radius = 7.6 ft

A = πr²

A = π(7.6)²

A = π x (57.76)

A = 181.5 ft²

Answer:

Approx. 2140.16 cubic centimeters

Step-by-step explanation:

[tex]Volume=\frac{4}{3}\pi r^{3} \\V=\frac{4}{3}(3.14)(8)^{3} \\V=4.18(8)^{3} \\V=4.18(512) \\V=2140.16[/tex]

Answer:

64in

Step-by-step explanation:

for a four sided figure, you do base x height. volume isn't squared in Math.

Answer:

x = 14

Step-by-step explanation:

given f(x) = 2(3x - 5) and f(x) = 74 , then equating gives

2(3x - 5) = 74 ( divide both sides by 2 )

3x - 5 = 37 ( add 5 to both sides )

3x = 42 ( divide both sides by 3 )

x = 14

Answer:

see explanation

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

given

x² + y² - 8x + 8y + 23 = 0

collect the x and y terms together and subtract 23 from both sides

x² - 8x + y² + 8y = - 23

using the method of completing the square

add ( half the coefficient of the x / y terms )² to both sides

x² + 2(- 4)x + 16 + y² + 2(4)y + 16 = - 23 + 16 + 16

(x - 4)² + (y + 4)² = 9 ← in standard form

with centre = (4, - 4 ) and r = [tex]\sqrt{9}[/tex] = 3

this is shown in graph b

The range of the exponential function will be y ≥ 250,0003. Then the correct option is B.

The domain means all the possible values of x and the range means all the possible values of y.

The Population Of Center City Is Modeled By Exponential Function F, Where X Is The Number Of Years After The Year 2015.

The graph is given below.

We know that the exponential function is given as

y = abˣ

For x = 0, y will be 250,000

250,000 = a

For x = 40, y will be 400,000

400,000 = 250,000b⁴⁰

           b = 1.0118

Then we have

y = 250,000 (1.0118)ˣ

Then the range of the exponential function will be y ≥ 250,0003.

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The factor of the polynomial function f(x) graphed on the coordinate plane below is x - 1 , Option B is the right answer.

A function in which there is only positive exponents to the variables are called polynomial function.

The missing image is attached with the answer.

It is given in the question

on a coordinate plane, a parabola opens up. it goes through (0, 3), has a vertex at (3.5, 3), and goes through (6, 0)

The zeroes of the polynomial function are the points at which the curve will cut x axis

For the given graph,

the curve cuts the x-axis at x = 1 and x = 6

the  factors will be x - 1 and x - 6

Therefore, a factor of the polynomial function f(x) graphed on the coordinate plane below is x - 1 , Option B is the right answer.

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Answer:

B

Step-by-step explanation:

B

Answer:

A.

Step-by-step explanation:

Wren is at the grocery store buying fruit. She buys x pounds of apples for $1.68 per pound. She buys 2 fewer pounds of grapes for $2.48 per pound. The cost of the fruit, before tax, is $13.76. How many pounds of each fruit is she buying?

A.

2.8 pounds of apples and 4.8 pounds of grapes

B.

3.3 pounds of apples and 1.3 pounds of grapes

C.

3.8 pounds of apples and 1.8 pounds of grapes

D.

4.5 pounds of apples and 2.5 pounds of grapes

Answer:

they are different in the equation

     For both of these, we will divide the wanted outcome by the number of possible outcomes. We will end up with a decimal. A decimal multiplied by 100 becomes a percent.

[a] 50%

[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{\text{student failed}}{\text{Period 2's class}} =\frac{12}{24} =0.5,\:0.5*100=50\%[/tex]

[b] 52%

[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{\text{student failed from Period 3}}{\text{fails from both classes}} =\frac{13}{25} =0.52,[/tex]

    [tex]\displaystyle 0.52*100=52\%[/tex]