For g(x)= (x+7)^2 + 6x determine the input of x when the output of g(x) =13

Answer:

The width and height of the old 35-inch television are 28 inches and 21 inches, respectively.

Step-by-step explanation:

35-inch television is a television whose screen has an hypotenuse ([tex]l[/tex]) of 35 inches and the aspect ratio of 4 : 3 means that 4 inches width per each 3 inches height. And by Pythagorean Theorem:

[tex]r_{l} =\sqrt{r_{w}^{2}+r_{h}^{2}}[/tex]

Where:

[tex]r_{l}[/tex] - Hypotenuse rate, dimensionless.

[tex]r_{w}[/tex] - Width rate, dimensionless.

[tex]r_{h}[/tex] - Height rate, dimensionless.

If [tex]r_{w} = 4\,in[/tex] and [tex]r_{h} = 3\,in[/tex], the hypotenuse rate is:

[tex]r_{l} = \sqrt{4^{2}+3^{2}}[/tex]

[tex]r_{l} = 5[/tex]

The width and height of the old television can be found with the help of trigonometric functions:

Width of 35-inch old television ([tex]w[/tex])

[tex]w = l\cdot \cos \theta[/tex]

[tex]w = l\times\left(\frac{r_{w}}{r_{l}} \right)[/tex]

Height of 35-inch old television ([tex]h[/tex])

[tex]h = l\cdot \sin \theta[/tex]

[tex]h = l\times\left(\frac{r_{h}}{r_{l}} \right)[/tex]

Where [tex]\theta[/tex] is the direction of the hypotenuse with respect to width, measured in sexagesimal degrees.

If [tex]r_{w} = 4[/tex], [tex]r_{h} = 3[/tex] and [tex]r_{l} = 5[/tex] and [tex]l = 35\,in[/tex], the width and height of the old 35-inch television:

[tex]w = (35\,in)\times \left(\frac{4}{5} \right)[/tex]

[tex]w = 28\,in[/tex]

[tex]h =(35\,in)\times \left(\frac{3}{5} \right)[/tex]

[tex]h = 21\,in[/tex]

The width and height of the old 35-inch television are 28 inches and 21 inches, respectively.

Answer:

You are just as likely to get a 2 as a 6

Step-by-step explanation:

There are six sides on a die 1,2,3,4,5,6

Assuming a fair normal die

P(2) = number of 2's / total = 1/6

P(6) = number of 6's / total = 1/6

You are just as likely to get a 2 as a 6

Answer: range:  {0in, 16in}

               domain {0min, 12.8 min}

Step-by-step explanation:

When we have a function:

f(x) = y.

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

In this case, our function is:

H(x) = 16 - 1.25*x

which is a linear equation, and we know that the linear equations are defined (for range and domain) in the set of all the real numbers, but this is a physical situation, so we must see at the real problem.

The bucket can not have more water than the initial amount, 16 inches, so this is the maximum in the range.

The minimum height of water that we can find in the bucket is 0 inches (so the bucket is empty) then this is the minimum of the range.

Then we can write the range as:

R: 0in ≤ y ≤ 16in. = {0in, 16in}

Now we can find the extremes of the domain by using the extremes of the range:

y = 16 = 16 - 1.25*x

       0 = -1.25*x

then we have x = 0min, this will be the minimum of the domain.

Now using the minimum of the range y = 0 we have:

y  = 0 = 16 - 1.25*x

      1.25*x = 16

            x  = 16/1.25 = 12.8 mins

This is the maximum time in the domain (because after this time, there is no water in the bucket)

Then the domain is:

D: 0min ≤ x ≤ 12.8 min

Answer:

D

Step-by-step explanation:

The answer is D, because it is saying for you to do,

2⁶ multiplied 5 times in a row,

2⁶×2⁶×2⁶×2⁶×2⁶ and this is equal to 2³⁰.

Answer:

Option D

Step-by-step explanation:

Whenever we multiply the same numbers with different exponents, we write the same number and add the exponents.

Example: (1/5)^2 x (1/5)^6

=> (1/5)^2 + 6

=> (1/5)^8

Example: 7^3 x 7^8

=> 7^3+8

=>7^11

Whenever we divide the same number with different exponents, we write the same number and subtract  the exponents.

Example: 9^3 / 9^4

=> 9^3-4

=> 9^-1

Whenever there is an number with the exponent, and there is an exponent outside the bracket, then we multiply.

Example: (2^6)^-5

=> 2^6 x -5

=> 2^-30

So, the Answer is D.

Answer:

9

Step-by-step explanation:

Hello!

They want us to find x when x is 5 so we put 5 in for x

3(2(5) - 7)

Now we follow PEMDAS

3(10 - 7)

3(3) = 9

The answer is 9

Hope this helps!

Answer:

340000000

Step-by-step explanation:

3.4 x 10^8 is in scientific notation.

To change this to standard form you have to multiply 3.4 by 10 to the 8th power. You would be multiplying 3.4 by 10 eight times. It's a positive 8 so you move the decimal point 8 times to the right. If it were a negative then you'd move the decimal to the left.

3.4

Answer:

c is the best answer in my mind

Answer:

[tex]\Huge \boxed{\mathrm{d}}[/tex]

Step-by-step explanation:

y is equal to $1.67 per pounds of peanuts

pounds of peanuts = x

y is equal to $1.67 per x

per is for each

y = $1.67 × x

The equation that correctly describes this relation is option d.

m = 1/4 = slope

b = 3/4 = y intercept

===================================================

Explanation:

The goal is to solve for y.

Divide both sides by 4 and simplify like so

4y = x+3

4y/4 = (x+3)/4

y = (x+3)/4

y = x/4 + 3/4

y = (1/4)x + 3/4

This equation is in slope intercept form y = mx+b

m = 1/4 is the slope

b = 3/4 is the y intercept

The graph is a straight line that goes through (1,1) and (5,2)

Answer:

36

Step-by-step explanation:

if x=6 you are multiplying 6 by 6..

you substitute 6 in for x in the problem (6x) so it becomes 6 x 6

the you multiply and get 36

Answer: 36

Step-by-step explanation: 6x means the same thing as 6 · x.

In this case, we are given that x = 6.

So we have 6 · 6 which is 36.

Answer:

y = -7

Step-by-step explanation:

the value of -7 is constant at the x coordinates

y = -7

x   |   y

-8   |  -7

-6   |  -7

-4   |  -7

-2   |  -7

0    |  -7

2    |  -7

4    |  -7

6    |  -7

8    |  -7

==============================================

Explanation:

The x coordinates are -1 and -5. They add to -6. Which is then cut in half to -3

The y coordinates are -5 and 9. They add to 4. This is cut in half to 2.

The midpoint is therefore (-3, 2)

-------

A symbolic way to write this is if you had endpoints (a,b) and (c,d), then the midpoint is [tex]\left(\frac{a+c}{2}, \frac{b+d}{2}\right)[/tex]

Answer:

x=-1   , y=7

Step-by-step explanation:

y = -3x+4 and y=-7x

substitute y=-7x in the equation y = -3x+4

-7x=-3x+4 ( put variable(x) together)

-7x+3x=4

-4x=4

x=-4/4

x=-1

find y: y=-7x  ⇒ y=-7(-1) ⇒ y=7

check :y = -3x+4

7=-3(-1)+4

7=7  ( correct)

Answer:

second option

Step-by-step explanation:

Given the sequence

7, 4, 1, - 2

There is a common difference d between consecutive terms, that is

d = 4 - 7 = 1 - 4 = - 2 - 1 = - 3

Thus to obtain any term in the sequence from the previous term, subtract 3

Thus

f(1) = 7 , f(n + 1) = f(n) - 3 for n ≥ 1

Answer:

3600

Step-by-step explanation:

We multiple 40 x 90 which is equal to 4 x 10 x 9 x 10.

4 x 9 = 36 and 10 x 10 = 100, so 40 x 90 = 36 x 100 = 3600.

Answer:

The answer is 3,600

Step-by-step explanation:

40x90=3,600

Look at picture for step by step!

Hope this helps!

By: BrainlyAnime

Brainliest would be appreciated!

Answer:

plane containing a line

Step-by-step explanation:

In accordance with a plane postulate corollary, it is concluded that, for a given PLANE CONTAINING A LINE, there is one and only one perpendicular line through a given point on the line.

Hence, in this case, the correct complete statement is written as: Given PLANE CONTAINING A LINE there is one, and only one, a line perpendicular to the plane through that point.

Answer:

$18

Step-by-step explanation:

To find a percent of a number, change the percent to a decimal by dividing it by 100, and multiply the decimal by the number.

4% of $450 = 4% * $450 = 0.04 * $450 = $18

Answer:

c, e, f, and i

Step-by-step explanation:

a. is bounded above at y = 1 and below at y = 0

b. is unbounded both above and below

c. is bounded below at y = 0 and unbounded above

d. is unbounded both above and below

e. is bounded below at y = 0 and unbounded above

f. is bounded below at y = 0 and unbounded above

g. is bounded below at y = 0 and bounded above at y = 1

h. is unbounded both above and below

i. is bounded below at y = 0 and unbounded above

j. is unbounded both above and below

Answer:

They are equivalent

Step-by-step explanation:

3/6 is equal to 1/2

2/4 is equal to 1/2

Answer:

  $27

Step-by-step explanation:

Assuming this price list, ...

  4 toy cars cost 6 dollars

  6 toy cars cost 9 dollars

  8 toy cars cost 12 dollars

We recognize that 18 cars is 3 times 6 cars, so the cost will be ...

  cost of 18 cars = 3(cost of 6 cars) = 3($9) = $27

The cost of 18 toy cars is $27.

x = -3 , y = 6 , z = -4

Take Given equation :

⇒-15 + (-x) + y = 0

substitute values of x and y

⇒-15 + [- ( -3)] + 6

⇒-15 + (3) + 6

⇒-15 + 9

⇒-6

Hence, value of -15 + (-x) + y = - 6

Answer:

Cost price (c.p) = Rs. 550000

selling price (s.p) = Rs. 533500

Loss (l) = c.p - s.p

= Rs. 550000 - Rs. 533500

= Rs. 16500

Now,

Loss percentage = Actual loss * 100%

c.p

= Rs. 16500 * 100%

Rs. 550000

= 3%

Answer:

loss%=3.09%

Step-by-step explanation:

given,s.p=550000

c.p=533500

Now,loss percent= Actual loss /c.p×100%

=16500/53500×100%

=3.09%

Answer:

45 yards and 176 yards

Step-by-step explanation:

Perimeter of a rectangular playing field = 2(Length + width)

P = 2(L+W)..................... Equation 1

From the question,

Let the width of the rectangular playing field = x yards,

The the Length = 4x-4 yards.

Given: P = 442 yards.

Substitute these values into equation 1

442 = 2(4x-4+x)

442/2 = 5x-4

221 = 5x-4

5x = 221+4

5x = 225

x = 225/5

x = 45 yards.

Width = 45 yards.

Length = (45×4)-4 yards = 176 yards

Hence the dimensions of the playing field are, 45 yards and 176 yards

A 200-degree angle is between 180 and 270 degrees, so the terminal side is in QIII.

Do the operation indicated for that quadrant. Subtract 180 degrees from the angle, which is 200 degrees.

You find that 200 – 180 = 20, so the reference angle is 20 degrees.

hope this helped!

o(*￣▽￣*)ブ

Answer:

Area of a Circle = 254.34 cm²

Step-by-step explanation:

Area of a Circle = π r²

Area of a Circle = 3.14 * 9²

Area of a Circle = 254.34 cm²

The options in this question are missing; here is the complete question:

Which of the following best describes the term constructions in geometry?

A. Combining two or more figures together to create a new figure or shape.

B. A way to draw precise figures using a compass and a straightedge.

C. Creating a figure or shape by hand.

D. Places where things are being built that often slow down traffic.

The answer to this question is B. A way to draw precise figures using a compass and a straightedge.

Explanation:

Geometry is a sub-field of mathematics that studies figures, lines, angles, and related features. In this, the term "construction" describes the creation of figures by using a straight edge such as a ruler, a compass (object to draw circles or arcs and measure distances), and a pen, pencil, or similar instrument to draw. For example to draw or construct a circle a compass is mainly used while the construction of a hexagon requires a straight edge and compass. According to these ideas, the correct answer is B.

The truck can travel 60 miles before the tank is completely empty

The capacity of the truck is;

Capacity = 40 gallons

When it is 7/8 empty, the amount of gas in the truck is:

Amount  = (1 - 7/8) * 40 gallons

Amount  = 5 gallons

The rate is given as:

Rate = 12 miles per gallon

So, the number of miles it can travel from this point is:

Miles = Amount * Rate

Miles = 5 * 12

Miles = 60

Hence, the truck can travel 60 miles before the tank is completely empty

Read more about rate at:

https://brainly.com/question/14335655

#SPJ9

Answer:

[tex]x=\frac{(a^2+ab)}{a-b}[/tex]

Step-by-step explanation:

So we want to make x the subject of the formula:

[tex]a(x-b)=a^2+bx[/tex]

First, distribute the left side:

[tex]a(x)-a(b)=a^2+bx\\ax-ab=a^2+bx[/tex]

Combine all the terms with x with it on one side. To do this, first subtract bx from both sides. The right side cancels:

[tex](ax-ab)-bx=(a^2+bx)-bx\\ax-ab-bx=a^2[/tex]

Remove the -ab from the left. Add ab to both sides. The left side cancels:

[tex](ax-ab-bx)+ab=a^2+ab\\ax-bx=a^2+ab[/tex]

Now, distribute out the x from the left side:

[tex]ax-bx=a^2+ab\\x(a-b)=a^2+ab[/tex]

Divide both sides by (a-b). The left side cancels:

[tex]\frac{(x(a-b))}{a-b}=\frac{(a^2+ab)}{a-b} \\x=\frac{(a^2+ab)}{a-b}[/tex]

Therefore:

[tex]x=\frac{(a^2+ab)}{a-b}[/tex]

Answer:

Step-by-step explanation:

ax -ab = + bx

collect like terms

ax-bx= +ab

factorise

x(a-b)=a(a+b)

x=[tex]\frac{a(a+b)}{a-b}[/tex] or [tex]\frac{a^{2} + ab}{a -b}[/tex]

Answer:

31

Step-by-step explanation:

5---11

12---25

hmmm

isn't that jsut x * 2 + 1?

soooo

15 would be

15*2+1

which is 31

Answer:

31.

Step-by-step explanation:

5+5 = 10 + 1 = 11

12 + 12 = 24 +1 = 25

15 + 15 = 30 + 1 = 31

I don't know I tried to see if that was the pattern. It checks out math wise.