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dusya [7]
3 years ago
12

Write an algebraic expression that models the word phrase.

Mathematics
1 answer:
dedylja [7]3 years ago
4 0

Answer:

8(x + 14)

Step-by-step explanation:

The term product signifies multiplication in mathematics. However, in order to find a product, we must have two or more terms to multiply. Because we are finding the product of 8 and the sum of a number x and 14, we will place the sum in parentheses to show they are being added together.

Using this knowledge, we are left with the sum in parentheses (x + 14) and the number 8 to multiply it.

To simplify, this can be written as 8(x + 14).

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A helicopter hovers at an altitude that is 1000 feet above a mountain of altitude 5210 feet. A second, taller peak is viewed fro
ehidna [41]
Given: 

Height of Mountain A = 5210 feet
Distance of Mountain A from a helicopter above the peak = 1000 feet
Angle of depression:
       Mountain B to helicopter = 43 degrees
       Mountain B to Mountain A = 19 degrees
 
 First, draw an illustration and label the enumerated given values.

Observe that there are two right triangles formed:

From the triangle formed by the helicopter and Mountain B, 

let x = total height of mountain B
     y = leg of first triangle (helicopter and mountain b)
     h = hypotenuse
Use the Pythagorean Theorem:

cos (43) = y / h

From the second triangle formed by mountain b and a,

cos (19) = (1000 + y) / h

solve for h and y

then, solve for the height of Mountain B:

x = 1000 + y + 5210
6 0
4 years ago
I will give brainliest 35 points The following graph represents the correlation between shoe size and height for 70 people.
Svetllana [295]

Answer:

Positive

Step-by-step explanation:

As height is increasing, shoe size is also increasing (positive slope)

Negative correlation is when one variable increases and the other decreases (negative slope)

5 0
3 years ago
Read 2 more answers
At a concession​ stand, one hot dog and one hamburger cost ​$3.75 ​; one hot dog and cost ​$12.25 . Find the cost of one hot dog
raketka [301]

The function shows that the cost of hotdogs is 1.75 and the cost of hamburger is 1.5.

<h3>How to calculate the information?</h3>

Let hotdogs = h

Let hamburger = x

The expression will be:

h + x = 3.25

h + 7x = 12.25

Subtract the functions

6x = 9

x = 1.5

Therefore, hot dogs will be:

= 3.25 - 1.5

= 1.75

Learn more about expressions on:

brainly.com/question/723406

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At a concession stand, one hot dog and one hamburger cost $3.25; one hot dog and seven hamburger cost $12.25. Find the cost of one hotdog and the cost of one hamburger.

8 0
2 years ago
Mrs. Reynold’s sprinkle system has 9 stations that water all the parts of her front and back lawn. Each station runs for an equa
NeTakaya

Answer:

108 minutes

Step-by-step explanation:

48/4= 12 minutes per 1 station

9x12=108 minutes

4 0
3 years ago
FILL IN THE BLANK
IgorLugansk [536]
Now, we know that he's charging $12 per session to each of his students, and he has 14 students currently, so his revenue is just 14 * 12 or 168 bucks.

now, let's take a peek as the session price goes up in jumps of 2, from 12, to 14, 16, 18 and so on, as each jumps happen, the students drop by 1, from 14, to 13, to 12 and so on.

\bf \begin{array}{ccccllll}&#10;\stackrel{increase}{x}&\stackrel{new}{price}&students&\stackrel{revenue}{y}\\&#10;------&------&------&------\\&#10;0&12&14&168\\&#10;1&14&13&182\\&#10;2&16&12&192\\&#10;3&18&11&198\\&#10;\boxed{4}&20&10&\boxed{200}\\&#10;5&22&9&198\\&#10;6&24&8&192\\&#10;7&26&7&182\\&#10;8&28&6&168\\&#10;..&..&..&..&#10;\end{array}

notice, the revenue starts off at 168, goes up up, reaches 200 bucks and then starts to drop back down.

thus, that means the U-turn or vertex of that revenue function is at 4,200, namely h = 4, and k = 200

\bf \qquad \textit{parabola vertex form}\\\\&#10;\begin{array}{llll}&#10;\boxed{y=a(x-{{ h}})^2+{{ k}}}\\\\&#10;x=a(y-{{ k}})^2+{{ h}}&#10;\end{array} \qquad\qquad  vertex\ ({{ h}},{{ k}})\\\\&#10;-------------------------------\\\\&#10;\stackrel{c(x)}{y}=a(x-\stackrel{h}{4})\stackrel{k}{+200}&#10;\\\\\\&#10;\textit{now, we also know that }&#10;\begin{cases}&#10;x=2\\&#10;y=192&#10;\end{cases}\implies 192=a(2-4)^2+200&#10;\\\\\\&#10;-8=a(-2)^2\implies -8=4a\implies \cfrac{-8}{4}=a\implies -2=a&#10;\\\\\\&#10;

\bf therefore\qquad \stackrel{ c(x)}{y}=-2(x-4)^2+200\impliedby \textit{let's expand that}&#10;\\\\\\&#10;y=-2(x^2-8x+16)+200\implies y=-2x^2+16x-32+200&#10;\\\\\\&#10;\stackrel{y}{c(x)}=-2x^2+16x+168
3 0
3 years ago
Read 2 more answers
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