What is an equation of the line that passes through the points (-7, 7) and (3, 7)(

The function f(x) = (x + 5)³ when expanded is f(x) = x³ + 15x² + 75x + 125

The function in the equation is given as

f(x) = (x+5)^3

Rewrite this function properly

So, we have the following representation

f(x) = (x + 5)³

Solving further, we need to expand the expression into factors

So, we have the following representation

f(x) = (x + 5)(x + 5)(x + 5)

Next, we expand the first two brackets in the equation

This gives

f(x) = (x² + 5x + 5x + 25)(x + 5)

Evaluate the like terms

This gives

f(x) = (x² + 10x + 25)(x + 5)

Solving further, we need to expand the last two brackets

So, we have the following representation

f(x) = (x³ + 5x² + 10x² + 50x + 25x + 125)

Evaluate the like terms

This gives

f(x) = (x³ + 15x² + 75x + 125)

Remove the brackets

So, we have

f(x) = x³ + 15x² + 75x + 125

Hence, the function is f(x) = x³ + 15x² + 75x + 125

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Answer:

1 : 3.5

Step-by-step explanation:

8 : 28 = 1 : n

n = 28 * 1 : 8

n = 3.5

1 : 3.5

Answer:

Jose has 36 outfits in total, just multiply all the numbers together

Step-by-step explanation:

Answer:

The the relationship is linear

Step-by-step explanation:

If y/x is same for all pairs of x and y, slope is a constant value that is not changed by value of x or y. Hence, it is linear function.

The store sold 482 cameras in the month of March.

An equation is an expression that shows the relationship between two or more variables and numbers.

Assuming that the same number of camera is sold each month. Let x represent the amount of camera sold in March.

Since the electronics store sold 1,446 cameras in the first 3 months, hence:

3x = 1446

x = 482 cameras

The store sold 482 cameras in the month of March.

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Answer:

4! or 24

Step-by-step explanation:

4! is 4*3*2*1 which equals 24.

Every single time that he sings a song, he has one less option to pick from.

Hope this helped! :)

Answer:

Greg can sing in 16 different ways to each song once.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The equation of line d is

X = -5x + 4

Explanation:

Two lines are parallel when they both have the same slope.

Line c and line d have a common slope of -5.

X = -5x + 4, in particular, passes through the point (2, -6).

Hope this helped. Have an awesome and blessed year!

Answer:

3m/s

Step-by-step explanation:

It wouldn't let me post the answer. See images for the answer and explanation

The function that has the least minimum value is function F & the function that has the greatest minimum value is function K.

Given:

Find:

Solution:

From the question, we get;

[tex]h(x) = 2(x-1)^{2}[/tex]

⇒ h(x)min = 0

⇒ g(x)min = -5

⇒ f(x)min = -7

⇒ k(x)min = 7

So,  f(x)min < g(x)min < h(x)min <  k(x)min

Therefore, The function that has the least minimum value is function F & the function that has the greatest minimum value is function K.

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Answer:

19.65 cnets

Step-by-step explanation:

Answer:

y=7/9x+17/9

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-(-2))/(4-(-5))

m=(5+2)/(4+5)

m=7/9

y-y1=m(x-x1)

y-(-2)=7/9(x-(-5))

y+2=7/9(x+5)

y=7/9x+35/9-2

y=7/9x+35/9-18/9

y=7/9x+17/9

Answer:

You have two sets of parallel sides. A square has two sets of parallel sides, and it has the extra condition that all of the angles are right angles. So a square is definitely going to be a rhombus. Now, all rhombuses have four sides.

Step-by-step explanation:

Answer:

A Parallelogram

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

0.25 = 1/4

Answer:

1/4

Step-by-step explanation:

25% is 25/100. 25/100 simplified is 1/4.

Answer:

0.152

Step-by-step explanation:

Answer:

x={-1,1,3,5}

Step-by-step explanation:

x={-1,1,3,5}

Answer:

[tex](1 + {1}^{2} \times {2}^{2} ) = 1 + 1 \times 4 \\ = 1 + 4 \\ = 5[/tex]

[tex] \bold \pink{ \underline{hope \: it \: helps}}[/tex]

Answer:

25% that is ur answer

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

Have a great day or night!

A: . The function is increasing when X<-1 and x>1 and decreasing when

-1 < x < 1.

B:The function is greater than zero when x>2

C: The function is less than zero when

-1 < x < 2 and X<-1

Answer:

2⁴ = 16

Step-by-step explanation:

Answer:

Diameter is 10 units

Step-by-step explanation:

Convert standard form to general form by completing the square:

[tex]x^2+y^2-8x+2y-8=0[/tex]

[tex]x^2-8x+y^2+2y-8=0[/tex]

[tex]x^2-8x+y^2+2y=8[/tex]

[tex]x^2-8x+16+y^2+2y+1=8+16+1[/tex]

[tex](x-4)^2+(y+1)^2=25[/tex]

[tex](x-4)^2+(y+1)^2=5^2[/tex]

So, since the radius of the circle is 5 units, then the diameter is twice the radius, which is 10 units.

Answer:

50

Step-by-step explanation:

x2 + y2 - 8x + 2y - 8 = 0

first we find the radius with the equation.

write the equation in standard form.

x2 + y2 - 8x + 2y - 8 = 0

(x-4)^2 + (y+1)^2 = 25

(x-h)² + (y-k)² = r²

this means 25 is the radius and the diameter is two times the radius so,

25 x 2 = 50

The statements which best describe an effective claim in an argumentative essay are:

A. It is precise and clear.

E. It states a fact using precise language.

An argumentative essay can be defined as a literary work which comprises an expression of a writer's stance (position) on a specific topic or subject matter.

A claim refers to a statement that is used by a writer to prove, substantiate or support an argument. Thus, it is an assertive statement expressed by a writer to prove that an argument is true, factual, and real.

In this context, the main function of an effective claim in an argument is simply to precisely and clearly state a fact based on a writer's opinion.

In conclusion, the following statements which best describe an effective claim in an argumentative essay are:

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Answer:

Its A and B

Step-by-step explanation

Answer:

The two angles ADB and BDC are congruent since they are both right angles.

The segment AD and CD are congruent since D is the midpoint of AC.

Segment BD is in common for the two triangles.

The triangles ABD and BCD are congruent by SAS. In particular, Angle A is congruent to angle C (they are opposite to congruent sides), QED

Answer:

1.41421356237

Step-by-step explanation:

After every decimal place value, or decimal point, there are infinite rows of invisible 0's

In 1.4, there are countless invisible 0's, which would look like this

1.40000000000000000...

Same for 1.41421356237

1.4142135623700000000...

So now, you can compare and see that 1.41421356237 has a 1 in the hundredths place, while 1.4 has a 0 in the hundredths place

Thus, 1.41421356237 is greater than 1.4

Answer:

it's hardware.

.

hope I helped!

Answer:

B. (5,0)

Step-by-step explanation:

hope this helps

Answer:

B. (5,0)

Step-by-step explanation:

Place all the coordinates on the graph and then its pretty much self-explanatory after that. you just see which is closest to the subject. which, in this case, was the school.

Answer:

1.

2.

3.

4.

5.

6.

7.

8.

9.

10!!

Step-by-step explanation:

Answer:

Step-by-step explanation:

red and green

you know this because the red line has an X intercept at 1.5,0 which can be seen on the graph, as well as a Y intercept of 0,-3 which means that 2x-3 is represented by the red line

the green line passes through 0.8, 0 for its x intercept and 4,0 for its y intercept which is also seen on the graph by the green line.

to prove this, set each equation equal to zero and solve-

so 2x-3=0

2x=3

x=1.5

4-5x=0

-5x=-4

x=0.8

also the whole number in each equation (-3 and the 4) are y intercepts since when x is zero they are themselves

Answer:

7x+27x=34x

34x+2-(-5×^2)-2x

34x+2+5x^2-2x

34x+2x=36x

36x+2+5x^2

Answer:

I will ASSUME X = x

x² + 2bx - 4bx - 8b²

x² - 2bx - 8b²

Answer:

[tex]\\\\\\-8b^2-2bx+x^2[/tex]

Step-by-step explanation:

[tex](x+2b)(x-4b)\\=(x+2b)(x+(-4b)\\=(x)(x)+(x)(-4b)+(2b)(x)+(2b)(-4b)\\\\x^2-4bx+2bx-8b^2\\\\-8b^2-2bx+x^2[/tex]