function f(x) = (x +2)(x + 6) is shown
What is true about the domain and range of the function?

The domain is all real numbers, and the range is all real numbers greater than or equal to –4.
The domain is all real numbers greater than or equal to
–4, and the range is all real numbers.
The domain is all real numbers such that –6 ≤ x ≤ –2, and the range is all real numbers greater than or equal to –4.
The domain is all real numbers greater than or equal to
–4, and the range is all real numbers such that –6 ≤ x ≤ –2.

Answer:

a and c

Step-by-step explanation:

5(-2)<2

-10<2

5(-5)<2

-25<2

Polynomials are expressions. The polynomial whose solution set is {5} is x²-10x+25.

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

As it is given that the {5} is the solution set of the function, therefore, we can write,

[tex]x = 5\\(x-5 )= 0[/tex]

Thus, (x-5) is one of the factors of the polynomial.

Let's assume that the 5 is the only root of the polynomial, therefore, if we multiply the factor by itself we will get the quadratic equation whose solution is only 5.

[tex](x-5)^2\\\\\text{Using the algebric identity we will get}\\\\x^2-10x+25[/tex]

Hence, the polynomial whose solution set is {5} is x²-10x+25.

Learn more about Polynomials:

https://brainly.com/question/17822016

Answer:

x²-10x+25

Step-by-step explanation:

It was correct for me

Answer:

See below.

Step-by-step explanation:

The inequality is a range, since there is no line going one way, but two points on either side of the line.

-4<x≥5(Or -4<0≥5, can't remember the format)

-hope it helps

Here is your answer!

|-7.1|                    7.1

|-3.1 + 8.8|          5.7

|2.7 + 4.2|          6.9

|4-9|                   5

Explanation:

The absolute value of something is the distance of a number from zero, regardless of direction. The distance is always positive, as absolute value of a number cannot be negative.

Answer:

Step-by-step explanation:

x+5=8

x=3

x+5= -8

x=-13

lesser x=-13

greater x= 3

Answer:

x = 5

Step-by-step explanation:

Set up proportion and cross multiply to solve:

9/2x-1 = 15/3x

x = 5

Answer:

Step-by-step explanation:

An angle bisector divides the base into ratios obtained by the sides of the triangle that are not divided. So

9/(2x - 1) = 15/3x                  Divide 3 into 15

9/(2x - 1) = 5/x                     Cross multiply

9x = 5(2x - 1)                        Remove the  brackets

9x = 10x - 5                          Switch sides.

10x - 5 = 9x                          Subtract 9x from both sides

10x - 9x - 5 = 0                    Combine

x - 5 = 0                               Add 5 to both sides.

x = 5

Answer:

2 are shades of blue.

Step-by-step explanation:

[tex]10 \times 20\% \\ = 2[/tex]

Answer:

its c

Step-by-step explanation:

Answer:

.0097

Step-by-step explanation:

Take the decimal and move it 3 (variable for any negative exponent) places to the left

Answer:

0.0097 is the answer.

Step-by-step explanation:

You start by counting from the decimal place. For negative exponents, you would count to the left. Three decimal places to the left of 9.7 is 0.0097.

Speed is the ratio of distance and time. When we divide f(x) by g(x) we will get the speed of the flock that is 9 miles/hour.

Speed can be defined as the rate of change in the position of an object. It is given as,

[tex]Speed = \dfrac{Distance}{Time}[/tex]

Given to us

Distance traveled, f(x) = 2x+26

Time, g(x) = x − 1

As we know that the ratio of distance and time is equal to the speed of the object. Since the distance traveled by the flock of birds is given also, the time needed for them to travel the distance is also given.

We need to find f divided by g of 5, which is the speed of the flock,

[tex]Speed = \dfrac{Distance}{Time} = \dfrac{f(x)}{g(x)}[/tex]

[tex]Speed = \dfrac{f(x)}{g(x)} = \dfrac{2x +26}{x-1}[/tex]

[tex]Speed = \dfrac{f(5)}{g(5)} = \dfrac{2(5) +26}{(5)-1}\\\\Speed = 9 \rm\ miles/ hour[/tex]

Hence, when we divide f(x) by g(x) we will get the speed of the flock that is 9 miles/hour.

Learn more about Speed:

https://brainly.com/question/7359669

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

1)

2)

Answer:

x= 38/5

Step-by-step explanation:

Answer:

Quadratic equation

Step-by-step explanation:

The formula is - b+- square root b^2 - 4ac all divided by 2a

a=1

b=-10

c=74

So substitute the values and remember to keep the value in a bracket so the outside operator affects it

-(-10)+- square root (-10)^2 - 4(1)(74) all divided by 2(1)

Giving you 2 answers of x as their is a positive and negative square roots

X=-138

X=

Answer:

(a) d=65t

Step-by-step explanation:

If, for example she drove 10 hours, and she drove 65 miles each hour:

d=?

t= 10 hr

Speed= 65 mph

The formula for distance (check triangle linked below) is d=st (s*t)

so,

d=65t

hope this helps. It really simple, But I don't think I explained it too well.

Answer:

heyyy here's your answer hope it helps you

Step-by-step explanation:

1. 4a+7a=11a.

2.20y-6y=14y.

3.8m-8m=0.

4.9b+6=9b+3.

There are 12 months in a year, so Matt would theoretically earn

$56,980 / 12 ≈ $4,748.33

each month. (But his earnings will certainly be taxed, so the real answer is less than this.)

Answer: $4,748

Step-by-step explanation: A year is 12 months and since he gets paid once a month, then you divide $56,980 by 12, and that equals $4,748 a month.

Hope it helps and have a great day!

surface area=total area of rectangle

the base total Surface area

=(LW+lw)2

=(8×4+6×3)2

=(32+18)2

=50×2

=100cm²

surface area of a rectangle

4×12

48cm²

SA of another rectangle

5×12

60cm²

Sa of contact base

8×12=96cm²

sa of height rectangle

10×12

120cm²

Sa of another rectangle

6×12

72cm²

area of the top=3×12

36cm²

total area=100cm²+48cm²+60cm²+96cm²+120cm²+72cm²+36cm²

sa=532cm² is the answer

hope it was helpful.

please mark brainliest

Answer:

heres a screenshot of the correct answer

Hope This Helps!!!

Answer:

4x-18y

Step-by-step explanation:

[tex]x-\left(7y-3x\right)-11y[/tex]

Let's apply the distributive law: -a(a-b)=-a+b

[tex]-\left(7y-3x\right)=-7y+3x[/tex]

[tex]x-7y+3x-11y[/tex]

Now, we'll Group terms

[tex]x+3x-7y-11y[/tex]

[tex]4x-18y[/tex]

Hope this helps!

Answer:

The positions of your north celestial pole and south celestial pole change as you change latitude on the Earth, as you move north or south. At the Earth's equator, the Celestial Equator is directly overhead, and the poles are on opposite sides of the horizon. All stars are visible as they rise, culminate at the meridian, and set. As you move north, the Celestial Equator mirrors your movement, moving south the same number of degrees away from the zenith. The altitude of any star will change with the observer's latitude (as well as the time of night).

Note: only the altitude of the star changes NOT their coordinates. The star's celestial coordinates remain the same.

Step-by-step explanation:

Declination is measured in degrees north (+) or south (-) of an imaginary line called the Celestial Equator (CE). The Celestial Equator is the projection of the Earth's Equator onto the Celestial Sphere. The CE has a declination of 0 degrees, by definition. At dec = +90 degrees (90 degrees N) is the North Celestial Pole (NCP), the projection of the Earth's North Pole onto the Celestial Sphere. The South Celestial Pole (SCP) is at dec = -90 degrees.

An Example would be:

You move 30 degrees North of the equator, hence, the Celestial Equator has moved away from the zenith, 30 degrees to the south.

While the NCP has risen 30 degrees into the sky and the SCP has sunk 30 degrees below the horizon.

If you moved south, the opposite would have occurred as the Celestial Equator moved north of the zenith.

Answer:

Function : 1 input 1 output

not a Function : 1 input more than 1 output

ck12org

Answer:

If Chelsea uses more then 300 minutes a month then company B, if not she should chose company A

Step-by-step explanation:

40-25=15

15/0.05=300

Answer: it will be 6 ounces of frozen yogurt and 10 ounces of orange juice.

Step-by-step explanation:

3 parts frozen yogurt

5 parts orange juice For a total of 8 parts divided by 16 ounces = 2 Multiply 3 fy x 2= 6 ounces And multiply 5 oj x 2= 10 ounces

Answer:

46m

Step-by-step explanation:

2(18)+2(5)=46

Answer:

Step-by-step explanation:

To find the perimeter of a rectangle, add the lengths of the rectangle's four sides.

18 + 5 + 18 + 5 =

46m

Answer:

R=5

Step-by-step explanation:

The area of a semi circle is 1/2(pi×R^2).

Since the area is given you would just work backwards.

Using 3.14 as "pi", you would have

39.25 = 1/2(3.14×R^2)

39.25*2 = 3.14*R^2

78.5 = 3.14* R^2

78.5/3.14 = R^2

25 = R^2

Then you would take the sqrt of R and 25

And the answer would come to 5 = R

R= radius

[tex] \small \tt{Area \: of \: a \: semicircle = \frac{1}{2} \times \pi {r}^{2} }[/tex]

[tex] \small\tt{39.25 = \frac{1}{2} \times 3.14 \times {r}^{2} } [/tex]

[tex] \small\tt{39.25 \times 2 = 3.14 \times {r}^{2} } [/tex]

[tex] \small\tt{78.5 \: = 3.14 \times {r}^{2} } [/tex]

[tex] \small\tt{ \frac{78.5}{3.14} = {r}^{2} } [/tex]

[tex] \small\tt{ {r }^{2} = 25} [/tex]

[tex] \small\tt{r = \sqrt{25} = 5 } [/tex]

[tex] \small\tt{r = 5} [/tex]

Hope it will help you

The hydrostatic force is given by the integral of the force acting on

small horizontal strips from the base to the top of the triangle.

Response:

The given parameters are;

Base of the triangle = 6 m

Height of the triangle = 15 m

Acceleration due to gravity, g ≈ 9.8 m/s²

Weight density of water, ρ ≈ 1,000 kg/m³

Required:

Hydrostatic force on one side of the plate

Solution:

Considering a thickness, dx, having area, dA = y·dx

The pressure on the strip = ρ·g·x

Force on the strip, dF = ρ·g·x·y·dx

Using similar triangles, we have;

[tex]\dfrac{x}{15} = \dfrac{y}{6}[/tex]

Which gives;

[tex]y = \dfrac{x}{15} \times 6 = \mathbf{ \dfrac{2}{5} \cdot x}[/tex]

Therefore;

[tex]dF = \rho \cdot g \cdot x \cdot \dfrac{2}{5} \cdot x \cdot dx = \mathbf{\rho \cdot g \cdot x^2 \cdot \dfrac{2}{5} \cdot dx}[/tex]

Which gives;

[tex]F =\displaystyle \int\limits^{15}_0 { \rho \cdot g \cdot x^2 \cdot \dfrac{2}{5} } \, dx = \mathbf{\left[\rho \cdot g \cdot x^3 \cdot \dfrac{2}{3\times 5} \right]^{15}_0}[/tex]

Therefore;

[tex]F = \rho \cdot g \cdot \left[x^3 \cdot \dfrac{2}{3\times 5} \right]^{15}_0 = \mathbf{ \rho \cdot g \times 15^3 \cdot \dfrac{2}{3\times 5}} = 450 \cdot \rho \cdot g[/tex]

Which gives;

F = 450 m³ × 1,000 kg/m³ × 9.8 m/s² = 4,410,000 N = 4.41 MN

Learn more about hydrostatic force here:

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The system of linear inequalities that shows the number of hours as described is;

According to the task content;

Hence, it follows that;

Read more on inequalities;

https://brainly.com/question/25275758

Answer:

5 hours babysitting, 4 hours bagging

OR

9 hours babysitting, 1-hour bagging.

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

I mean it sound true

Answer:

true

it sounds true to me

Answer:

3.4 gigabytes

Step-by-step explanation:

Because 57.20$ divided by 47 is 10.20 and 3 goes in to 10.2 3.4 times.

Answer:

13 cubes

Step-by-step explanation:

cube is a 3D square basically

so you can do the volume

2 * 1 * 7/4

14/4

14/4 and you divide it by 1/4

14/4 ÷ 1/4 or 14/4 * 4/1

52/4

13 cubes

Answer:

224 cubes to fill the entire prism.

Step-by-step explanation:

using the formula:

full prism volume: 2 * [tex]\frac{7}{4}[/tex] * 1 = 3.5 cm³

volume of single cube: ([tex]\frac{1}{4}[/tex])³ = [tex]\frac{1}{64}[/tex] cm³

so ? cubes to fill: 3.5 /  [tex]\frac{1}{64}[/tex] = 224 cubes.