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GenaCL600 [577]
3 years ago
6

Three bananas ånd two apples sell for $1.25. Five bananas and one apple sell for $1.50. Write a system of

Mathematics
1 answer:
lesantik [10]3 years ago
6 0

Answer:

b= 25 cents

a= 25 cents

Step-by-step explanation:

b(5)+1(a) = 1.50

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Y=2x+1
yan [13]

Answer:

(1) 2 (2) (-1/2,0) (3) (0,1)

Step-by-step explanation:

The slope of the line is the number times x. This equation is y=mx+b, where m is the slope and b is the y-intercept. In this case, m is 2, so we have our slope. The y-intercept is easy, as we already know it to be (0,1). The x-intercept is the point where the line hits x when y=0. To solve for the x-intercept, we set y to 0 and solve. We have 0=2x+1. First, we subtract 1 from both sides and get -1=2x. Next, to get x by itself, divide both sides by 2. Now we have -1/2=x. Now we have our x coordinate for our x-intercept. Because of this, we get (-1/2,0) as our x-intercept.

3 0
3 years ago
If f(x) = 3x^2 - 4x + 5 and g(x) = 2x^2 + 2,<br> find f(x) – g(x).<br><br> Answer: x^2 - 4x + 3
Nadusha1986 [10]

Answer:

f(x) – g(x) = x^2 - 4x + 3

Step-by-step explanation:

f(x) = 3x^2 - 4x + 5 and g(x) = 2x^2 + 2,

f(x) – g(x) = 3x^2 - 4x + 5 - ( 2x^2 + 2)

Distribute the minus sign

f(x) – g(x) = 3x^2 - 4x + 5 - 2x^2 - 2

  Combine like terms

f(x) – g(x) = x^2 - 4x + 3

 

5 0
3 years ago
Maria is ordering comic books online. The equation y=8x + 4 represents the total cost in dollars, y, including shipping, for ord
MAVERICK [17]

Answer:

x will be equal to 7 comic books

7 0
3 years ago
Find the area of the helicoid (or spiral ramp) with vector equation r(u, v) = ucos(v) i + usin(v) j + v k, 0 ≤ u ≤ 1, 0 ≤ v ≤ 9π
Natasha2012 [34]
Let H denote the helicoid parameterized by

\mathbb r(u,v)=u\cos v\,\mathbf i+u\sin v\,\mathbf j+v\,\mathbf k

for 0\le u\le1 and 0\le v\le9\pi. The surface area is given by the surface integral,

\displaystyle\iint_H\mathrm dS=\iint_H\|\mathbf r_u\times\mathbf r_v\|\,\mathrm du\,\mathrm dv

We have

\mathbf r_u=\dfrac{\partial\mathbf r(u,v)}{\partial u}=\cos v\,\mathbf i+\sin v\,\mathbf j
\mathbf r_v=\dfrac{\partial\mathbf r(u,v)}{\partial v}=-u\sin v\,\mathbf i+u\cos v\,\mathbf j+\mathbf k
\implies\mathbf r_u\times\mathbf r_v=\sin v\,\mathbf i-\cos v\,\mathbf j+u\,\mathbf k
\implies\|\mathbf r_u\times\mathbf r_v\|=\sqrt{1+u^2}

So the area of H is

\displaystyle\iint_H\mathrm dS=\int_{v=0}^{v=9\pi}\int_{u=0}^{u=1}\sqrt{1+u^2}\,\mathrm du\,\mathrm dv
=\dfrac{9(\sqrt2+\sinh^{-1}(1))\pi}2
5 0
3 years ago
​ Trapezoid W′X′Y′Z′ ​ is the image of trapezoid WXYZ under a dilation through point C.
erma4kov [3.2K]

That would be the ratio of  2 corresponding sides

= 6/8

= 3/4  answer

6 0
3 years ago
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