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4 years ago

Juan is making birdhouses

1 answer:

7 0

Awesome!!! so his tools and stuff cost $80 and 6.25 PER BIRD HOUSE.
To make a profit he needs to make more that 80 and 6.25+. And he'll sell the bird houses for $16.
So we'll multiply. 16x (blank)=. And make it more than 80.
Step 2.
Let's say that you've got 5 bird houses. Now you have to mutliply 6. 25 and 5 because Juan had to pay that extra 6.25 per bird house.

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Solve for y: −4x+ 1/2y=2

Simora [160]

Answer:

y = 8x + 4

Step-by-step explanation:

combine 1/2 and y:

-4x + y/2 = 2

add 4x to both sides:

+4x -4x + 1/2y = 2 +4x

mutiple both sides by 2 :

2 (y/2) = 2 (2 +4x)

simplify both sides:

y= 8x + 4

3 0

3 years ago

Read 2 more answers

If h(x)=(fog)(x) and h(x)=3 sqrt x+3, find g(x) if f(x) =3 sqrt x+2

Sonja [21]

Answer:

$g(x)=x+\frac{1}{9}+\frac{2\sqrt{x}}{3}$

Step-by-step explanation:

Given functions: h(x) = (fog)(x) , h(x) = 3√x + 3 and f(x) = 3√x + 2

To find: function g(x)

Consider,

(fog)(x) = h(x)

f( g(x) ) = h(x)

$3\sqrt{g(x)}+2=3\sqrt{x}+3$

$3\sqrt{g(x)}=3\sqrt{x}+1$

$\sqrt{g(x)}=\frac{3\sqrt{x}+1}{3}$

$\sqrt{g(x)}=\sqrt{x}+\frac{1}{3}$

$g(x)=(\sqrt{x}+\frac{1}{3})^2$

$g(x)=(\sqrt{x})^2+(\frac{1}{3})^2+2\times\frac{1}{3}\times\sqrt{x}$

$g(x)=x+\frac{1}{9}+\frac{2\sqrt{x}}{3}$

Therefore, $g(x)=x+\frac{1}{9}+\frac{2\sqrt{x}}{3}$

5 0

3 years ago

Read 2 more answers

Which way do you move the decimal when you divide

EleoNora [17]

When dividing you should move the decimal to the left.

4 0

3 years ago

9. Two points in the plane, A(−3,8) and ????(17,8), represent the endpoints of the diameter of a circle.

kherson [118]

Answer:

a) (7,8)

b) r = 10

c) $(x-7)^2+(y-8)^2=100$

Step-by-step explanation:

a) Given the endpoints the diameter of the circle as A(-3,8) and B(17,8)

we should realize that the center of the circle lies exactly at the midpoint of these two points. let's denote the midpoint as $(x_m,y_m)$

$(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$(x_m, y_m) = \left(\dfrac{-3+17}{2},\dfrac{8+8}{2}\right)$

$(x_m, y_m) = (7,8)$

this is the coordinate of the center of the circle.

b) The radius of the circle can be easily found by using the distance formula between the center point and either of the two endpoints of the diameter.

the general distance formula is:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

in our case the equation changes to: (selecting the centre and point B)

$r = \sqrt{(x_m-x_2)^2+(y_m-y_2)^2}$

$r = \sqrt{(7-17)^2+(8-8)^2}$

$r = 10$

side note: there are more alternate ways to find the radius for e.g (you can use the distance formula between the points A and B and that'll give you the length of the diameter which you can divide by 2 to get the radius) OR (you don't need to use the distance formula at all <u>since in this particular case</u> all the coordinates lie on the same horizontal line, so by simply subtracting the two x-coordinates of the center and either of A or B)

c) the ingredients needed to make the equation of the circle are the