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Wittaler [7]
3 years ago
8

On the graph of the equation 3x + 2y = 18, what is the value of the y-intercept? (1 point) −9 −6 6 9

Mathematics
2 answers:
azamat3 years ago
8 0

Answer: The answer is y=9 i did the math twice to make sure.

Step-by-step explanation:

Lady_Fox [76]3 years ago
5 0

Answer:

9

Step-by-step explanation:

The equation is in the form:

Ax + By =C

3x + 2y = 18

y-intercept = C/B = 18/2 = 9

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If the length of AO is double the length of CO, the length of BO is?
andreev551 [17]

BO is double that of DO. In other words, BO is two times longer than DO. The answer is choice B

For example, if DO were 3 units long, then BO would be 6 units long (2*3 = 6). This works because the triangles DCO and BAO are similar triangles. The corresponding sides are in the same ratio or proportion to one another. The larger triangle (BAO) has sides that are twice as long as the smaller triangle's (DCO) corresponding sides.

Side note: we can prove the triangles to be similar using the AA (angle angle) similarity theorem. The first pair of angles are the vertical angles DOC and BOA which are congruent to each other.The second pair is CDB and ABD which are congruent by the alternate interior angle theorem. Check out the attached image for a visual.

7 0
3 years ago
While testing a new pesticide, an agricultural scientist uses two functions to predict the yields of two same-sized potato farms
Pepsi [2]

Answer:

A. h(x)= -5.86x^2 + 23.37x + 34

Step-by-step explanation:

If the scientist uses the same amount of pesticide on the two farms then the x's of the functions are the same.

Then, the combined yield h(x) of the two farms is just the yield of the first farm plus the yield of the second farm:

h(x)=f(x)+g(x).

Now, since

f(x)= -2.43x^2+10.37x+9

and

g(x)= -3.43x^2+13x+25,

then

h(x)= (-2.43x^2+10.37x+9)+(-3.43x^2+13x+25)

we add the coefficients of the  corresponding terms to get:

h(x)= (-2.43x^2-3.43x^2)+(10.37x+13x)+(9+25)

\boxed {h(x)=-5.86 x^2 + 23.37 x + 34.}

Which is choice A.

4 0
3 years ago
In the figure, a line was constructed through point R perpendicular to line L. If EF = 20, then what is the length of ES?
valkas [14]
ES is half of EF since a chord is bisected by the radius. ES = 10
7 0
3 years ago
Read 2 more answers
If x^2y-3x=y^3-3, then at the point (-1,2), (dy/dx)?
zavuch27 [327]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2866883

_______________


          dy
Find  ——  for an implicit function:
          dx


x²y – 3x = y³ – 3


First, differentiate implicitly both sides with respect to x. Keep in mind that y is not just a variable, but it is also a function of x, so you have to use the chain rule there:

\mathsf{\dfrac{d}{dx}(x^2 y-3x)=\dfrac{d}{dx}(y^3-3)}\\\\\\
\mathsf{\dfrac{d}{dx}(x^2 y)-3\,\dfrac{d}{dx}(x)=\dfrac{d}{dx}(y^3)-\dfrac{d}{dx}(3)}


Applying the product rule for the first term at the left-hand side:

\mathsf{\left[\dfrac{d}{dx}(x^2)\cdot y+x^2\cdot \dfrac{d}{dx}(y)\right]-3\cdot 1=3y^2\cdot \dfrac{dy}{dx}-0}\\\\\\
\mathsf{\left[2x\cdot y+x^2\cdot \dfrac{dy}{dx}\right]-3=3y^2\cdot \dfrac{dy}{dx}}


                        dy
Now, isolate  ——  in the equation above:
                        dx

\mathsf{2xy+x^2\cdot \dfrac{dy}{dx}-3=3y^2\cdot \dfrac{dy}{dx}}\\\\\\
\mathsf{2xy+x^2\cdot \dfrac{dy}{dx}-3-3y^2\cdot \dfrac{dy}{dx}=0}\\\\\\
\mathsf{x^2\cdot \dfrac{dy}{dx}-3y^2\cdot \dfrac{dy}{dx}=-\,2xy+3}\\\\\\
\mathsf{(x^2-3y^2)\cdot \dfrac{dy}{dx}=-\,2xy+3}


\mathsf{\dfrac{dy}{dx}=\dfrac{-\,2xy+3}{x^2-3y^2}\qquad\quad for~~x^2-3y^2\ne 0}


Compute the derivative value at the point (– 1, 2):

x = – 1   and   y = 2


\mathsf{\left.\dfrac{dy}{dx}\right|_{(-1,\,2)}=\dfrac{-\,2\cdot (-1)\cdot 2+3}{(-1)^2-3\cdot 2^2}}\\\\\\
\mathsf{\left.\dfrac{dy}{dx}\right|_{(-1,\,2)}=\dfrac{4+3}{1-12}}\\\\\\
\mathsf{\left.\dfrac{dy}{dx}\right|_{(-1,\,2)}=\dfrac{7}{-11}}\\\\\\\\ \therefore~~\mathsf{\left.\dfrac{dy}{dx}\right|_{(-1,\,2)}=-\,\dfrac{7}{11}}\quad\longleftarrow\quad\textsf{this is the answer.}


I hope this helps. =)


Tags:  <em>implicit function derivative implicit differentiation chain product rule differential integral calculus</em>

6 0
3 years ago
Please help me with my homework problem
wel

Answer:

y-axis

Step-by-step explanation:

points are (x,y)

since the y-coordinate does not change, but the x-coordinate does, it rotates around the y-axis.

reflection just means it rotates 180 degrees (out of the paper, not around)

8 0
3 years ago
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